Answer:
4 degrees celsius
Step-by-step explanation:
2.WHICH OF THE FOLLOWING IS A NON- NUMERIC DATA ? Required to answer. Single choice.
(1) 1,2,3,4,5,6
(2) 2,8,4,5,8
(3) A,B,AB,O
(4) NONE OF THE ABOVE
Answer:
3.) A,B,AB,O
Step-by-step explanation:
Non-numeric data refers to categorical data, or data that is not expressed quantitatively. Answers (1) and (2) contain quantitative data, so they would be eliminated as potential answer choices and therefore (4) would also be eliminated. This leaves answer (3), which does not have quantitative data and is therefore non-numeric.
Donovan is paying for gym classes. Each type of class has its own weekly fee. He signed up for x weeks of yoga classes and y
weeks of kickboxing classes. He paid a total of $136. The equation below describes the relationship between the number of weeks
of yoga classes and the number of weeks of kickboxing classes Donovan signed up for.
8x + 12y
-
136
The ordered pair (5,8) is a solution of the equation. What does the solution (5.8)
Considering the given function, the ordered pair (5,8) means that the signed up for 5 weeks of yoga classes and 8 weeks of kickboxing classes.
What does the function represent?
The function that represents the relationship between the number x of yoga classes that Donovan signs up for and the number y of kickboxing classes is given by:
8x + 12y = 136.
Hence the ordered pair (5,8) means that the signed up for 5 weeks of yoga classes and 8 weeks of kickboxing classes.
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Ha car drove 200 miles at a speed of 107.0534 miles per hour how long would it take?
Answer:
1.86822
Step-by-step explanation:
take the 200 miles and devide the traveling speed
rewrite the expression without absolute value bars
The expression without absolute value bars is 3.84.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
|√10 - 7 |
= | 3.16 - 7 |
= | -3.84 |
= 3.84
Thus,
The value of the expression is 3.84.
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in a poll of 216 voters, 134 said they would vote for the candidate from party x, 52 said they would vote for the candidate from party y, and 30 said they would vote for the candidate from party z. if a pie chart were to be made showing the support for each candidate, the smallest central angle would be degrees.
The smallest central angle is 50.4 degrees, which corresponds to the candidate from party z.
To find the central angle for each candidate, we first need to calculate the proportion of voters who support each party. We can do this by dividing the number of voters who support each party by the total number of voters and multiplying the result by 360 (the total number of degrees in a circle). This will give us the central angle for each party in the pie chart.
For the candidate from party x, we have 134 supporters out of 216 voters. So the proportion of voters who support this candidate is:
134/216 = 0.62
To find the central angle, we multiply this proportion by 360:
0.62 x 360 = 223.2 degrees
So the central angle for the candidate from party x is 223.2 degrees.
Similarly, for the candidate from party y, we have 52 supporters out of 216 voters. So the proportion of voters who support this candidate is:
52/216 = 0.24
To find the central angle, we multiply this proportion by 360:
0.24 x 360 = 86.4 degrees
So the central angle for the candidate from party y is 86.4 degrees.
Finally, for the candidate from party z, we have 30 supporters out of 216 voters. So the proportion of voters who support this candidate is:
30/216 = 0.14
To find the central angle, we multiply this proportion by 360:
0.14 x 360 = 50.4 degrees
So the central angle for the candidate from party z is 50.4 degrees.
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i need help can someone help me
The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering the sine of angle 41°
sin 41° = 2.5/x {opposite/hypotenuse}
x = 2.5/sin 41° {cross multiplication}
x = 3.8106
Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.
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0.7x -0.4 = 3.1
help me pls!!!!!
Answer:
x=5
Step-by-step explanation:
you add .4 to both sides, leaving you with .7x = 3.5
then you divide both sides by .7 & it gives you the answer of x=5
Find the Vale of X, round your awsner to the nearthest tenth
The required value of the x is given as 8.66 for the given triangle.
Given that,
A figure of the triangle is shown, with the help of trigonometric operators we have to determine x.
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
Tan60 = x/ 5
x = tan60 × 5
x = 1.732 × 5
x = 8.66
Thus, the required value of the x is given as 8.66 for the given triangle.
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The sum of the measures of three
angles is 90°
The measure of angle M is 2x
The measure of angle N is 3x + 8
• The measure of angle Q is 7x - 2
What is the value of x?
A. 7 B. 8
C. 9
D. 6
Answer:
A
Step-by-step explanation:
Equation
2x + 3x + 8 + 7x - 2 = 90
Solution
Combine like terms on the left
12x + 6 = 90 Subtract 6 on both sides
12x = 90 - 6
12x = 84 Divide by 12
x = 84/12
x = 7
Please help me with this!!!
Answer:
Is this correct??
if yes reply
The result of a biology test was collected, and the grades and gender are summarized below A B C Total Male 5 4 17 26 Female 6 2 15 23 Total 11 6 32 49 Let p p represent the proportion of all female students who would receive a grade of A on this test. Use a 99.5% confidence interval to estimate p p to three decimal places. Enter your answer as a tri-linear inequality using decimals (not percents).
Answer:
99.5% Confidence interval = (-0.025, 0.547)
= -0.025 < p < 0.547
Step-by-step explanation:
| A | B | C | Total
Male | 5 | 4 | 17 | 26
Female | 6 | 2 | 15 | 23
Total | 11 | 6 | 32 | 49
If p represent the proportion of all female students who would receive a grade of A on this test. Use a 99.5% confidence interval to estimate p to three decimal places.
All female students = 23
Female students that score an A = 6
p = (6/23) = 0.2608695652 = 0.261
Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample proportion) ± (Margin of error)
Sample proportion = (6/23) = 0.261
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value at 99.5% confidence interval for sample size of 23 is obtained from the t-tables since information on the population standard deviation is not known.
we first find the degree of freedom and the significance level.
Degree of freedom = df = n - 1 = 23 - 1 = 22.
Significance level for 99.5% confidence interval
(100% - 99.5%)/2 = 0.25% = 0.0025
t (0.0025, 22) = 3.119 (from the t-tables)
Standard error of the mean = σₓ = √[p(1-p)/N]
p = 0.261
N = sample size = 23
σₓ = √(0.261×0.739/23) = 0.091575
99.5% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]
CI = 0.261 ± (3.119 × 0.091575)
CI = 0.261 ± 0.2856
99.5% CI = (-0.0246, 0.5466)
99.5% Confidence interval = (-0.025, 0.547)
= -0.025 < p < 0.547
Hope this Helps!!!
If you own a larger lawn, you must use more water to hydrate it.
Identify the independent variable.
Answer:
the independent variable is the lawn size
Step-by-step explanation:
Answer: The lawn size
Step-by-step explanation: The independent variable is the input which causes the output to change.
an experienced bricklayer can construct a small wall in 7 hours. An apprentice can complete the job in 42 hours
Answer:
6 hours
Step-by-step explanation:
The trick to this type of problem is using an equal amount of time.
The least common multiple of 7 and 42 is 42
At 7 hours per wall
In 42 hours the bricklayer could build
42/7 = 6 walls
At 42 hours per wall
In 42 hours the apprentice could build
42/1 = 1 walls
Working together in 42 hours they could build 6 + 1 = 7 walls
42hours/7walls = 6hours/ wall
--------------------------
Math only
x = 1 wall/7hours + 1wall/42 hours
use common denominator of 42
x = 6w/42 hr + 1w/42hr
x = 7w/42 hr
reduce
x = 1w / 6hr
Find the value of p.
-25 = -4p + 19
Answer:
9.75
Step-by-step explanation:
-25 = -4p + 19
-25 - 19 = -4p
-39 ÷ -4 = p
9.75 = p
Convert the angle 5 radians to degrees.
Consider the conversion,
\(1\text{ rad}=\frac{180}{\pi}\text{ deg}\)Then the equivalent degree measure of 5 radians is calculated as,
\(\begin{gathered} \frac{5\pi}{3}\text{ rad} \\ =\frac{5\pi}{3}\times1\text{ rad} \\ =\frac{5\pi}{3}\times\frac{180}{\pi}\text{ deg} \\ =300\text{ deg} \end{gathered}\)Thus, the given angle measure is equivalent to 300 degrees.
Which of the following points satisfies y < 3x - 6?
(2, -4)
(1,0)
The point (2,-4) satisfies y < 3x - 6
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
See your levels
4) Graph the points (7, 3) and (1, 5) on the coordinate plane.
) Click to graph a point. Click the point again to delete it.
10
9
8
7
6
5
4
3
2
1
See attachment of the graph of the points on the coordinate plane.
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the graph of the points on the coordinate plane.?A system of linear equations is a collection of at least two linear equations.
In this case, the points are given as
(7, 3) and (1, 5)
The point (7, 3) means that:
x = 7 and y = 3
i.e. the point is located 7 units to the right of the origin and 3 units up the origin
Similarly,
The point (1, 5) means that:
x = 1 and y = 5
i.e. the point is located 1 unit to the right of the origin and % units up the origin
Next, we plot the points on the coordinate plane.
See attachment of the graph of the points on the coordinate plane.
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Answer:
Step-by-step explanation:
Graph the points (
–
2,9), (
–
1,
–
4), (
–
6,3), (3,1), and (
–
8,5) on the coordinate plane.
Click to graph a point. Click the point again to delete it.
Triangle ABC is shown. Use the graph to answer the question. triangle ABC on a coordinate plane with vertices at 1 comma negative 2, 9 comma negative 2, 5 comma 2 Determine the coordinates of the image if triangle ABC is translated 4 units down. A′(1, −6), B′(9, −6), C′(5, −2) A′(1, 2), B′(9, 2), C′(5, 6) A′(5, −2), B′(13, −2), C′(9, 2) A′(−3, −2), B′(5, −2), C′(1, 2)
The coordinates of the image if triangle ABC is translated 4 units down would be: A′(1, -6), B′(9, -6), C′(5, -2)
How will you translate the triangle 4 units down?To translate the triangle 4 units down, we need to subtract 4 from the y-coordinate of each vertex.
Vertex A has coordinates (1, -2), so its image A' after the translation is (1, -2 - 4) = (1, -6).
Vertex B has coordinates (9, -2), so its image B' after the translation is (9, -2 - 4) = (9, -6).
Vertex C has coordinates (5, 2), so its image C' after the translation is (5, 2 - 4) = (5, -2).
Therefore, the coordinates of the vertices of triangle ABC after it is translated 4 units down are A′(1, −6), B′(9, −6), and C′(5, −2).
So, the answer is option A: A′(1, −6), B′(9, −6), C′(5, −2)..
How can you use the coordinates of the vertices of a figure to determine its image after a translation?
To determine the image of a figure after a translation, you can add or subtract the same amount from the x- and/or y-coordinates of each vertex, depending on the direction and distance of the translation.
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HOW DO I STARTOR DO THIS PLEASE
The missing length for the similar triangles in this problem is given as follows:
? = 8.
What are similar triangles?Two triangles are defined as similar triangles when they share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.The proportional relationship for the side lengths in this problem is given as follows:
x/(x + 2) = 4/5.
Applying cross multiplication, the missing length is given as follows:
5x = 4(x + 2)
5x = 4x + 8
x = 8.
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wenty-five randomly selected students were asked the number of movies they watched the previous week. the results are as follows:
The sample mean of the number of movies watched by 25 students is 2.8 and the approximate sample standard deviation is 1.15.
(a) The sample mean X can be calculated by taking the average of the number of movies watched by all 25 students.
Step 1: Sum up the number of movies watched by all 25 students:
\(0 * 1 + 1 * 2 + 2 * 4 + 3 * 10 + 4 * 6 + 3 * 2 = 0 + 2 + 8 + 30 + 24 + 6 = 70\)
Step 2: Divide the sum from Step 1 by the number of students (25):
70 / 25 = 2.8
So the sample mean X = 2.8
(b) The sample standard deviation s can be calculated using the formula:
\(s = \sqrt{\frac{ \sum(X - X_{mean})^2}{(n-1)} }\)
Where \(X_{mean}\) is the sample mean, n is the sample size, and Σ represents the sum of all values.
Step 1: Calculate \((X - X_{mean})^2\)for each data point and sum up the values:
\((0 - 2.8)^2 * 1 + (1 - 2.8)^2 * 2 + (2 - 2.8)^2 * 4 + (3 - 2.8)^2 * 10 + (4 - 2.8)^2 * 6 + (3 - 2.8)^2 * 2\\ = 7.84 + 3.24 + 0.64 + 9.6 + 1.44 + 7.84\\ = 31.36\)
Step 2: Divide the sum from Step 1 by (n - 1) = 24:
31.36 / 24 = 1.31
Step 3: Take the square root of the result from Step 2:
\(\sqrt{1.31} = 1.15\)
So the approximate sample standard deviation s = 1.15 (rounded to two decimal places).
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Make a frequency table using five classes.
class 31-38 39-46 47-54 55-62 63-70
f
11
24
15
7
3
Then estimate the mean and sample standard deviation using the frequency table. (Round s to two decimal places.)
Answer: C
Step-by-step explanation:
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Compare negative one and six tenths repeating and negative five thirds using symbols <, >, or =. negative one and six tenths repeating is less than negative five thirds negative one and six tenths repeating is greater than negative five thirds negative five thirds is equal to negative one and six tenths repeating negative five thirds is greater than negative one and six tenths repeating
Answer:
-1 6/10
is greater than
- 5/3
Step-by-step explanation:
Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
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specialist has purchase 35 resistors from manufacturer 1 with the mean of 150 ohms and the standard deviation 2 ohms. manufacturer 2 offers the specialist a sample 40 with the mean of 148 and the standard deviation of 2.5 ohms. assume the two samples are independent and normally distributed.
We can conclude that the resistors from Manufacturer 1 have better mean resistance than Manufacturer 2.
What is the null hypothesis?
In statistics, the null hypothesis is a statement or assumption that there is no relationship or difference between certain populations or variables. It is typically represented by the symbol H0. The null hypothesis is used as a starting point for statistical hypothesis testing, which is a method used to determine whether the null hypothesis can be rejected or not based on sample data.
Given that the specialist has purchased 35 resistors from Manufacturer 1 with a mean of 150 ohms and a standard deviation of 2 ohms, and Manufacturer 2 offers a sample of 40 resistors with a mean of 148 ohms and a standard deviation of 2.5 ohms, we can assume that the two samples are independent and normally distributed.
To compare the means of the two samples, we can use a t-test for the means of two independent samples. The t-test will allow us to determine whether the difference in means between the two samples is statistically significant, or if it could have occurred by chance.
The null hypothesis of the t-test would be that there is no difference in means between the two samples, or that the mean of the Manufacturer 1 sample is equal to the mean of the Manufacturer 2 sample. The alternative hypothesis would be that there is a difference in means, or that the mean of the Manufacturer 1 sample is not equal to the mean of the Manufacturer 2 sample.
The t-value can be calculated using the formula:
t = (x1-x2)/sqrt((s1^2/n1) + (s2^2/n2))
where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.
Once the t-value is calculated, we can look up the t-value in a t-table to find the corresponding p-value. The p-value represents the probability of obtaining a t-value as extreme as the one calculated, assuming the null hypothesis is true.
If the p-value is less than the chosen significance level (usually 0.05), we would reject the null hypothesis and conclude that there is a statistically significant difference in means between the two samples
Hence, we can conclude that the resistors from Manufacturer 1 have better mean resistance than Manufacturer 2.
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witch of the following would be a good name for the function that takes the length of a race and returns the time needed to complete it
a. length(time)
b.Time(race)
c.time(length)
d.cost(time)
The most appropriate name for the function that takes the length of a race and returns the time needed to complete it would be "time(length)".
When choosing a name for a function, it is important to consider clarity and readability. The name should accurately describe the purpose of the function and provide a clear indication of what it does.
In this case, the function is expected to take the length of a race as input and return the time needed to complete it as output. Among the given options, "time(length)" is the most suitable choice.
a. length(time): This name suggests that the function takes time as input and returns the length. However, in this scenario, we are interested in finding the time needed to complete the race based on its length, so this option is not the best fit.
b. Time(race): This name implies that the function takes a race as input and returns the time. While it conveys the idea of finding the time, it doesn't explicitly mention that the input is the length of the race, making it less clear.
c. time(length): This option accurately describes the purpose of the function, indicating that it takes the length of the race as input and returns the corresponding time. It is concise, clear, and aligns with the conventional naming conventions for functions.
d. cost(time): This name suggests that the function calculates the cost based on time, which is not relevant to the scenario of finding the time needed to complete a race.
Therefore, "time(length)" is the most suitable and appropriate name for the function.
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Martin is two years younger than three times his daughter Ada’s age. The sum of their ages is 54. If Ada’s age is given by a, then which equation below fully models in the information given in this problem?
Answer:
Martin is 40 and Ada is 14Step-by-step explanation:
Martin's age = mAda's age = aMartin is two years younger than three times his daughter Ada’s age:
m = 3a - 2The sum of their ages is 54:
m + a = 54Solving this equation for m:
m = 54 - aEliminate m:
3a - 2 = 54 - aSolve for a:
3a + a = 54 + 24a = 56a = 56/4a = 14Find m:
m = 54 - 14 = 40Martin is 40 and Ada is 14
Give 2 fractions that are equivalent to 6/9 or proportional
Answer:
One Way: 6/9 = 2/3
Step-by-step explanation:
You have to divide. Divide the numerators 6 by 3 and divide 9 by 3 on the denominator.
You roll a die with the sample space s=1,2,3,4,5,6. you define A as (1,2,4) B as (2,3,4,5,6) C as (3,4) and D as (2,4,5). Determine which of the following events are exhaustive and/or mutually exhaustive.
Exhaustive Mutually exclusive
A and B
A and C
A and D
Band C
Answer:
A and B are exhaustive.
Step-by-step explanation:
Given
\(A = \{1,2,4\}\)
\(B = \{2,3,4,5,6\}\)
\(C =\{3,4\}\)
\(D = \{2,4,5\}\)
Solving (a): The mutually exclusive events
These are events that have no common or mutual elements
Events A to D are not mutually exclusive because each of the events have at least 1 common element with one another.
Solving (b): Exhaustive events.
Two events X and Y are said to be exhaustive if:
\(S = P(X\ n\ Y)\)
i.e. if the sample space equals the intersection of X and Y
For events A to D, we have:
\(A\ n\ B = \{1,2,3,4,5,6\}\)
and the sample space is:
\(S = \{1,2,3,4,5,6\}\)
By comparison;
\(A\ n\ B = S\)
Hence, A and B are exhaustive.
what type of data would best be displayed in a box plot
Answer:(2x+7)+(2x+7)
Step-by-step explanation:
what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer