Answer:
2/3 is equal to .6 repeating
Step-by-step explanation:
also youre not dumb :)
Using an example, outline the steps involved in performing a
Wald test to test significance of a sub-group of coefficients in a
multiple regression model.
The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.
The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.
Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:
Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)
If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.
The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.
Here are some of the assumptions of the multiple regression model:
* The independent variables are independent of each other.
* The dependent variable is normally distributed.
* The errors are normally distributed.
* The errors have constant variance.
If any of these assumptions are not met, then the Wald test may not be accurate.
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satnam is making a cake he uses a batter made out of 400 g of dry ingredients if the liquid has to be 2/7 of the total weight of batter how much liquid should he add
You take \(\frac{2}{7}\) of \(400\).
Which is: \(\frac{800}{7} = 114.8 mL\)
Please help!!!!!!!!!
(Answer is bolded, and underlined)
If we imagine that point D is on the negative side of the X axis, because right now, it is on the positive, and we need its reflection. If we flip it over, it becomes a -5, and the Y axis will stay the same, so the answer is
(-5, -3)
Answer:
(5, 3)
Step-by-step explanation:
If you kind of 'flip' the figure of=ver the x-axis, you'll see that every coordinate has the same numbers but has different positive and negative signs. If you flip the figure over the x-axis, point D will be in the first quadrant. Since the first quadrant is (positive, positive), then you change the signs to (positive, positive.)
true or false: the median is the midpoint of the distribution. it is the number such that half of the observations fall above it, and half fall below it.
The median is the midpoint of the distribution. it is the number such that half of the observations fall above it, and half fall below it.
The following statement is correct.
The median M of a distribution is the number at which half of the observations are smaller and half are greater.
For skewed distributions or distributions containing outliers, the median is the most useful metric of central tendency. For example, in highly skewed income distributions, the median is frequently utilised as a measure of central tendency.
For normal distributions, the mean is employed. For skewed distributions, the median is typically utilised. The mean is not a reliable tool since it is heavily impacted by outliers. Because it is far more robust and comprehensible, the median is better suited for determining central tendency from skewed distributions.
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Please help me respond this question!
The percentile rank of a core of 71 in the given test is 26.67% and the score of Viktor for the 60th percentile is 85.
How to calculate the percentile rank and the percentile?The formula for calculating the percentile rank of a set of data is
percentile rank for 'x' = (number of data values below 'x')/total number of data values × 100 i.e., Percentile rank = n/N × 100.
The formula for calculating the percentile is
percentile = rank × total number of data values
Where rank = percentile ÷ 100
Calculation:A teacher recorded unit 4 test scores from her class.
The scores data is as follows:
58, 64, 68, 70, 71, 75, 77, 80, 84, 85, 87, 90, 93, 95, 96
So, the total number of data values N = 15
The percentile rank for a score of 71 on this test is
The number of data values below score 71 is n = 4
Then,
Percentile Rank = n/N × 100 = 4/15 × 100 = 26.67%
Viktor's score, when he is in the 60th percentile is
percentile = rank × 15
Rank = 60 ÷ 100 = 0.6
⇒ percentile = 0.6 × 15 = 9
The data value after 9 positions from the left to right in the data set is 85. So, the score in the 60th percentile is below 85.
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find a formula for an for the arithmetic sequence:a1=-1,a5=7
Answer:
\(a_{n}\) = 2n - 3
Step-by-step explanation:
the nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + d(n - 1)
where a₁ is the first term and d the common difference
given a₁ = - 1 and a₅ = 7 , then
a₁ + 4d = 7 , that is
- 1 + 4d = 7 ( add 1 to both sides )
4d = 8 ( divide both sides by 4 )
d = 2
then
\(a_{n}\) = - 1 + 2(n - 1) = - 1 + 2n - 2 = 2n - 3
\(a_{n}\) = 2n - 3
Each boldface number is the value of either a parameter or a statistic. In each case, state which it is. In an experiment to test the effectiveness of single -sex classrooms, girls assigned at random to a coeducational chemistry class gained an average of 12.2 points from a pretest to a posttest. Girls assigned randomly to a single-sex chemistry class taught by the same teacher gained 15.1 points.
We are comparing the average gain in test scores for two different groups of girls - those assigned to coeducational chemistry classes and those assigned to single-sex chemistry classes. Since these gains are calculated from the data obtained from these specific groups of girls, they represent statistics rather than parameters.
In the given scenario:
The boldface number "12.2" represents a statistic.
The boldface number "15.1" represents a statistic.
A statistic is a numerical value that summarizes a sample of data, while a parameter is a numerical value that summarizes a population.
In this case, we are comparing the average gain in test scores for two different groups of girls - those assigned to coeducational chemistry classes and those assigned to single-sex chemistry classes. Since these gains are calculated from the data obtained from these specific groups of girls, they represent statistics rather than parameters.
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The number of peach trees in the orchard is directly proportional to
the number of apple trees. When Farmer Bob planted 40 peach
trees, he planted 120 apple trees. Everything was killed in the
drought and he's starting anew. How many apple trees will he
need to plant if he plants 500 peach trees?
Answer:
there was a difference between the 40 and 120 which was 80 so if there are 500 peach trees he would need to plant 580 because you add the difference to the total. The answer is 580 apple trees
Step-by-step explanation:
plz mark brainliest
The volume of the entire figure
Answer:
Step-by-step explanation:
Lets break the 2 boxes apart so you have 4*4*3 =48 and then you have 10*3*2 = 60
60 +48 = 108
108cm^3
A school allots £1500 to spend on a trip to the theatre. Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off A train ticket for the day will cost £15 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?
Answer:
Step-by-step explanation:
School allots £1500 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off
therefore 4/5*35 = 28 for the tickets
:
A train ticket for the day will cost £15 each.
therefore total cost for each: 28 + 15 = 43 pounds each
:
If 2 teachers and the maximum number of students attend, how much money will the school have left over?
:
let s = no. of students
43(s+2) =< 1500
43s + 86 =< 1500
43s =< 1500 - 86
43s =< 1414
s =< 1414/43
s =< 32.88, 32 students max
:
find how much left over. plus 2 teachers = 34 people
1500 - 43(34) =
1500 - 1462 = 38 pounds left over
A minivan is traveling at 80.5 kilometers per hour. Cargo is strapped to the roof at a height of 1.75 meters. The car hits a concrete barrier, and the cargo is ejected from the roof. Use the following two equations to determine how long it takes for the cargo to hit the ground and how far it travels in the horizontal direction. Let y represent height in meters, x represent horizontal distance in meters, and t represent time in seconds. Equation 1: y = -4.9t2 + 1.75 Equation 2: y = -0.0081x2 + 1.75
The time taken for the cargo to hit the ground will be 0.6 seconds and it travels in the horizontal direction for around 14.69 feet.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here,
The calculations are attached in images.
To calculate t we will use that is y because at the moment of cargo will have a height 0, so we get,
= −4.9t² +1.75
-1.75=-4.9t²
t²=-1.75/-4.9
t²=√0.3571
=0.6 seconds
Now we will calculate x, then y = 0
because since the cargo will be on the ground it will no have height, so
0= -0.0081x²+1.75
-1.75 =-0.0081x²
x²=-1.75/-0.0081
x= √216.04 = 14.69 feet
It will take the cargo 0.6 seconds to hit the ground, and it will travel 14.69 feet in a horizontal direction.
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PLEASE HELP !!
What is the missing reason for line 6 in this proof?
CPCTC
This acronym stands for "corresponding parts of congruent triangles are congruent". The triangles being congruent leads to their corresponding pieces being the same length. It's like saying if two houses are identical, then the front doors must be identical as well. Notice how this builds off the fact the triangles are proven congruent in line 5.
A particular telephone number is used to receive both voice
calls and fax messages. Suppose that 25% of the incoming
calls involve fax messages, and consider a sample of 25
incoming calls. What is the probability that
a. At most 6 of the calls involve a fax message?
b. Exactly 6 of the calls involve a fax message?
c. At least 6 of the calls involve a fax message?
d. More than 6 of the calls involve a fax message?
e. What is the expected number of calls among the 25 that
involve a fax message?
f. What is the standard deviation of the number among the
25 calls that involve a fax message?
g. What is the probability that the number of calls among
the 25 that involve a fax transmission exceeds the
expected number by more than 2 standard deviations?
a. Using the binomial distribution, the probability of at most 6 calls involving a fax message is 0.892.
b. The probability of exactly 6 calls involving a fax message is 0.228.
c. The probability of at least 6 calls involving a fax message is 0.270.
d. The probability of more than 6 calls involving a fax message is 0.108.
e. The expected number of calls among the 25 that involve a fax message is 6.25.
f. The standard deviation of the number among the 25 calls that involve a fax message is 1.85.
g. The probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.047.
a. To find the probability that at most 6 of the calls involve a fax message, we need to calculate the cumulative probability of the number of calls involving fax messages from 0 to 6. This can be done using the binomial distribution formula:
P(X ≤ 6) = Σ _i=0⁶ (\(^{25}C_i\)) (\(0.25^i\)) (\(0.75^{(25-i)\))
Where X is the number of calls involving fax messages, and i is the number of calls involving fax messages from 0 to 6.
Evaluating this expression, we get P(X ≤ 6) ≈ 0.954,
This means that there is a 95.4% chance that at most 6 of the calls involve a fax message.
b. To find the probability that exactly 6 of the calls involve a fax message, we can use the same binomial distribution formula with i = 6:
P(X = 6) = (\(^{25} C_ 6\)) (\(0.25^6\)) (\(0.75^{(25-6)}\))
Evaluating this expression, we get P(X = 6) ≈ 0.078,
This means that there is a 7.8% chance that exactly 6 of the calls involve a fax message.
c. To find the probability that at least 6 of the calls involve a fax message, we can use the complementary probability:
P(X ≥ 6) = 1 - P(X < 6)
= 1 - P(X ≤ 5)
= 1 - Σ _i=\(0^5\)(\(^{25}C_i\)) (\(0.25^i\)) (\(0.75^{(25-i)\))
Evaluating this expression,
We get P(X ≥ 6) ≈ 0.293, which means that there is a 29.3% chance that at least 6 of the calls involve a fax message.
d. To find the probability that more than 6 of the calls involve a fax message, we can use the complementary probability:
P(X > 6) = 1 - P(X ≤ 6)
= 1 - Σ _i=\(0^6\) (\(^{25}C_i\)) (\(0.25^i\)) (\(0.75^{(25-i)\))
Evaluating this expression, we get P(X > 6) ≈ 0.045, which means that there is a 4.5% chance that more than 6 of the calls involve a fax message.
e. The expected number of calls among the 25 that involve a fax message can be calculated using the formula:
E(X) = n
p = 25 x 0.25
= 6.25
This means that we can expect 6.25 calls out of the 25 to involve a fax message.
f. The standard deviation of the number among the 25 calls that involve a fax message can be calculated using the formula:
σ(X) = √[n p (1 - p)]
= √[25 0.25 0.75]
≈ 1.37
This means that the standard deviation of the number of calls involving a fax message out of 25 is 1.37.
g. We can use the normal distribution to find the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.
We know the expected number of calls involving fax messages is 6.25 and the standard deviation is 1.37, so we can calculate the z-score as:
z = (X - μ) / σ = (X - 6.25) / 1.37
where X is the number of calls involving fax messages.
To find the probability that the number of calls involving fax messages exceeds the expected number by more than 2 standard deviations, we need to find the probability that z is greater than 2:
P(z > 2) = 1 - Φ(2) ≈ 0.023
Where Φ is the cumulative distribution function of the standard normal distribution.
Therefore, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.023 or 2.3%.
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The temperature in some region of Alaska equals 14 °F Convert this temperature to Celsius
Answer:
-10 degrees C
Step-by-step explanation:
Jennifer installs solar panels. Today it takes her 8
hours to install 2 solar panels. She plans to install
solar panels for 40 hours next week.
10 solar panels according to me is the answer
Answer: 10
Step-by-step explanation:
40 hours/8 hours = 5 hours
5 hours *2 solar panels = 10 solar panels
Since it takes her 8 hours to install 2 solar panels, we need to multiply 5 with 2.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
y = 25x + 128.8
Step-by-step explanation:
y = total cost
x = amount of days the car was rented
25 represents the daily charge for the fee and the insurance (15+10=25)
128.8 represent the cost for miles driven by Jerry
This was calculated by multiplying the amount of miles he drove (644) by the cost of each mile (.20)
644x.20=128.8 so the cost for miles driven is $128.8 which is why it was added to the equation
The distributor for Hits on a Shoestring has changed her mind
about rap. She now believes that rap is more popular in her
territory than rock. She tells the company that it can make up to
twice as many rap CDs as rock CDs.
The remaining facts are the same as in Rock 'n' Rap. Here is a
summary of the constraints.
NO
Producing a rock CD costs an average of $15,000. Producing a
rap CD costs about $12,000.
Producing a rock CD takes about 18 hours. Producing a rap CD
takes about 25 hours.
Hits on a Shoestring must use at least 175 hours of production
time. Hits on a Shoestring can spend up to $150,000 on
production next month.
Each rock CD makes a profit of $20,000. Each rap CD makes a
profit of $30,000.
Find how many CDs of each type Hits on a Shoestring should
make next month to maximize its profits. Justify your reasoning.
Remember, the company can plan to make a fraction of a CD
next month and finish it the month after.
I
It should produce 23 rock CDs and 46 rap CDs next month to maximize its profits.
What is the optimal number of CDs to maximize profits?Assume number of rock CDs produced is R
Assume number of rap CDs produced is P.
The distributor said that up to twice as many rap CDs can be produced as rock CDs, so we have constraint\(P \leq 2R.\)
We also have the following constraints:
Production time constraint: 18R + 25P ≥ 175 (to use at least 175 hours of production time).Production cost constraint: 15,000R + 12,000P ≤ 150,000 (to spend up to $150,000 on production).To maximize profits, we need to maximize the objective function:
Profit = 20,000R + 30,000P
The optimization problem. Let us e\rearrange the production time constraint to obtain P in terms of R:
25P ≥ 175 - 18R
P ≥ (175 - 18R)/25
Substitute the inequality into production cost constraint:
15,000R + 12,000[(175 - 18R)/25] ≤ 150,000
Simplifying the inequality, we get:
375R - 216R ≤ 3750
159R ≤ 3750
R ≤ 3750/159
R ≤ 23.59
Substitute R = 23 into the inequality P ≤ 2R, we get:
P ≤ 2(23)
P ≤ 46.
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Which of the following values can be replaced with M so that this table of values represents a function? Select all that apply.
a. 9
b. 8
c. 7
d. -2
e. 5
Factor a^3b^2 - a
show work
The answer of this question is the factored expression will be: (a^2b^2 - 1)
To factor the expression a^3b^2 - a, you can first factor out the common factor of a: a(a^2b^2 - 1).
Now, notice that a^2b^2 - 1 is a difference of squares, which can be factored as (ab + 1)(ab - 1).
Therefore, the final factorization of a^3b^2 - a is:
a(a^2b^2 - 1)
= a(ab + 1)(ab - 1)
To factor the given expression, a^3b^2 - a, you can use the following steps:
1. Identify the greatest common factor (GCF) of the two terms. In this case, the GCF is 'a'.
2. Factor out the GCF from both terms.
So, your factored expression will be:
a(a^2b^2 - 1) and this is the final answer.
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Someone please help me
I think the slope is 4.
slope=rise/run
=20/5=4
In this assignment, you will discover what happens to inequalities when you multiply or divide both sides by the same positive or the same negative number.
Answer:
Yes
Step-by-step explanation:
Answer:
Just push next... also the next question is -
Which of the following statements is true when comparing numbers using a number line?
The number closest to zero is always the least.
The number farthest from zero is always the greatest.
The number farthest right is always the least.
The number left is always the least.
YOUR ANSWER IS
D. The number left is always the least.
Your welcome peoples
HELP ME ASAP!!! PLS!!
The Chu family can hike 3 miles per hour. How long will it take them to hike 15 miles?
A- 3.75 hours
B- 4 hours
C- 4.5 hours
D- 5 hours
Answer:
D- 5hrs
Step-by-step explanation:
If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.
Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours
Answer:
D. 5 hours
Step-by-step explanation:
3 miles per 1 hour so 3/1
15 miles per x hours so 15/x
3/1 = 15/x or 3 = 15/x
get x by itself so
3 divided by 3 and 15 divided by 3
x = 5 hours
Can anyone give me the answer for X? Plz
Answer:
x=12
Step-by-step explanation:
Since the triangles are congruent, you can set each equation equal to each other and solve to find x:
11x-70=5x+2
6x-70=2
6x=72
x=12
I hope this helped!
Are vertical lines negative?
Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.
Now, According to the question :
What is Vertical line?
A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.
Is a vertical line positive or negative?
The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.
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the variance and standard deviation are the most widely used measures of central location.
T/F
False , the variance and standard deviation are not measures of central location
Given data ,
The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset
Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset
The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.
In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.
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Need Help PLease Very Importatn giving 20 POINTS
Answer:
The last option: \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)
Step-by-step explanation:
Main concepts:
Concept 1. Parts of a Radical
Concept 2. Radicals as exponents
Concept 3. Exponent properties
Concept 4. How to simplify a radical
Concept 1. Parts of a Radical
Radicals have a few parts:
the radical symbol itself,the "index" (the number in the little nook on the left), andthe "radicand" (the part inside of the radical).If the index isn't shown, it is the default index of "2". This default index for a radical represents a square root, which is why people sometimes erroneously call the radical symbol a square root even when the index is not 2.
In this situation, the radical's index is 4, and the radicand is 81 x^18 y^6.
Concept 2. Radicals as exponents
For any radical, the entire radical expression can be rewritten equivalently as the radicand raised to the power of the reciprocal of the index of the radical. In equation form:
\(\sqrt[n]{x} =x^{^{\frac{1}{n}}}\)
So, the original expression can be rewritten as follows:
\(\sqrt[4]{81x^{18}y^{6}}\)
\((81x^{18}y^{6})^{^{\frac{1}{4}}}\)
Concept 3. Exponent properties
There are a number of properties of exponents:
Multiplying common bases --> Add exponents: \(x^ax^b =x^{a+b}\) Dividing common bases --> Subtract exponents: \(\dfrac{x^a}{x^b} =x^{a-b}\) Bases raised to powers, raised again to another power, multiplies powers: \((x^a)^b =x^{ab}\) A "distributive" property for powers across multiplication (warning... does not work if there are ANY addition or subtractions): \((xy)^a =x^{a}y^{a}\)Continuing with our expression, \((81x^{18}y^{6})^{^{\frac{1}{4}}}\), we can apply the "distributive" property since all of the parts are multiplied to each other...
\((81)^{^{\frac{1}{4}}}(x^{18})^{^{\frac{1}{4}}}(y^{6})^{^{\frac{1}{4}}}\)
Applying the "Bases raised to powers, raised again to another power, multiplies powers" rule for the parts with x and y...
\((81)^{^{\frac{1}{4}}}(x^{^{\frac{18}{4}}})(y^{^{\frac{6}{4}}})\)
Reducing those fractions, (both the numerators and denominators have a factor of 2)...
\((81)^{^{\frac{1}{4}}}(x^{^{\frac{9}{2}}})(y^{^{\frac{3}{2}}})\)
Rewriting the exponent of the "81" back as a radical...
\(\sqrt[4]{81} x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)
Concept 4. How to simplify a radical
For any radical with index "n", the result is the number (or expression) that when multiplied together "n" times gives the radicand.
In our case, the index is 4. So, we're looking for a number that when multiplied together four times, gives a result of 81.
One method of simplifying radicals is to completely factor the radicand into prime factors, and forms groups (each containing an "n" number of matching items).
Note that 81 factors into 9*9, which further factors into 3*3*3*3
This is a group of 4 matching items, and since the index of the radical is 4, we have found a group that can be factored out of the radical completely:
\(\sqrt[4]{81} =\sqrt[4]{(3*3*3*3)}=3\)
So, our original expression, simplifies finally to \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)
This is the last option for the multiple choice.
The point of concurrency of the angle bisectors of a triangle is known as_____. a) Incentre. b) Centroid. c) Orthocentre. d) None
The required final answer is option a) Incentre
What is concurrency of the angle?The point of concurrency of the angle bisectors of a triangle is known as the "Incentre".
It is the center of the circle inscribed within the triangle, which is equidistant from all three sides of the triangle.
The incentre is the point where the angle bisectors of a triangle intersect, forming the incircle, which is the largest circle that can be inscribed inside the triangle.
The incentre is always within the triangle and is equidistant from all three sides of the triangle, making
it a useful tool in construction and design applications. In summary, the incentre is the center of the incircle of a triangle, and it is the point where the angle bisectors of the triangle intersect.
Thus, required answer is "Incentre".
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A random sample of 30 students at a high school was allowed to play a popular cell phone game for an hour in order to score as many points as possible. The sample yielded an average score of 375 and a standard deviation of 100. The resulting 90% confidence interval is 375 +31. Which of the following statements best summarizes the meaning of this confidence interval? If we repeated this procedure many times, about 10% of the confidence intervals constructed will fail to include the mean number of points scored by all students at a high school. If we repeated this procedure many times, the average number of points scored by our sample of 30 students will be between 344 and 406 points approximately 90% of the time. o Approximately 10% of all students at the high school will score more than 406 points. Approximately 90% of the students at a high school will have an average score between 344 and 406 points.
If we repeated this procedure many times, the average number of points scored by our sample of 30 students will be between 344 and 406 points approximately 90% of the time.
This means that we are 90% confident that the true population mean of points scored by all students at the high school falls within this range based on the sample of 30 students who played the game for an hour.
A random sample of 30 students at a high school was allowed to play a popular cell phone game for an hour, yielding an average score of 375 with a standard deviation of 100. The 90% confidence interval is 375 ± 31. The statement that best summarizes the meaning of this confidence interval is: If we repeated this procedure many times, the average number of points scored by our sample of 30 students will be between 344 and 406 points approximately 90% of the time.
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in the school cafeteria 6 people can sit together at 1 table. if 2 tables are placed together end to end in a row 10 people can sit together. if 3 tables are placed together in a row how many can be seated? if 4 tables are placed together in a row how many people can be seated? if 5 tables are placed together in a row how many people can be seated? what patterns do you notice?
write an equation that would help find the number of people seated for any number of tables. show all your mathematical thinking giving 40 points and brainliest plss helpp
Answer:
First, we can use the information given to find out how many people can be seated at one table:
One table can seat 6 peopleNext, we can use the information given to find out how many people can be seated in a row of tables:
Two tables can seat 10 peopleTherefore, one row of tables can seat 5 people per tableUsing this information, we can find out how many people can be seated in a row of any number of tables:
Let x be the number of tables placed together in a rowOne row of x tables can seat 5x peopleSo, if 3 tables are placed together in a row, 15 people can be seated. If 4 tables are placed together in a row, 20 people can be seated. If 5 tables are placed together in a row, 25 people can be seated.
The pattern we notice is that the number of people seated in a row of tables increases by 5 for each additional table added.
To summarize, the equation that would help find the number of people seated for any number of tables is:
Number of people seated = 5x, where x is the number of tables placed together in a row.
Answer:
we are given that
6 people can sit together at 1 rectangular table.
2 tables are placed together, 10 people can sit together.
14 people can sit if three tables are put together.
It mean we get a sequence
6,10,14..........
So its making an arithmetic progression, where
First term=a=6
Common difference
Number of terms=number of table
As we know the nth term is given by the formula
Hence 402 people can sit
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for more context on how to solve
Write an expression that represents the area of the following figures.
16w length
5z height
Answer:
Step-by-step explanation: