Miss bennet's slice some oranges so that each which is a quarter of an orange then she cuts the same number of apples into pieces so that each piece is a 6 of an apple let N represent the number of each type of fruit select whether each statement is true or false
Answers
We know that
• Each orange wedge is 1/4 of the orange.
,• Each piece of apple is 1/6 of the apple.
Using these fractions, we can deduct that there are 4 orange wedges and 6 pieces of apple in total.
Hence, there are n+2 more pieces of apple than wedges of orange. So, the second statement is true, the rest is false.Related Questions
I need help with question 30 please! :)
Answers
Answer:
B ∩ (¬A ∩ ¬C)
Step-by-step explanation:
You want to exclude the section C shares with A, the one C shares with B and the one it shares with both. Intersecting ¬A (not A) with ¬C (not C) you obtain the entire area except A and C, which then can be intersected with B to obtain the highlighted area.
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Required:
Develop a confidence interval estimate of the population mean rating for Miami.
Answers
Answer: 6.8622 ; 8.1778
Step-by-step explanation:
Given the data:
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Assume a confidence interval of 95%
Using calculator :
The mean of the distribution (m) = 7.52
Standard deviation (s) = 2.314
Sample size),
Obtaining the t score ;
Degree of freedom (df) = (n-1) = 50 - 1 = 49
t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)
Margin of Error :
2.01 * s/√n = 2.01 * 2.314/7.0710678
Margin of Error (E) = 0.6578
Confidence interval:
(Mean - E) ≤μ≤ (mean + E)
(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)
6.8622 ≤μ≤ 8.1778
evelin had 1/4 of piece of choclate leftover. she wanted to share it which n other people. if each other person got 1/12 of a piece of choclate, how many people did she share with ?
Answers
Answer:
2 other people.
Step-by-step explanation:
First, find a common denominator. Note that what you do to the denominator, you must do to the numerator:
\(\frac{1}{4} * \frac{3}{3} = \frac{3}{12}\)
Each other person implies that she will reserve a piece of chocolate for herself, so you will subtract 1:
\(\frac{3}{12} - \frac{1}{12} = \frac{2}{12}\)
She will share with 2 other people.
~
Jeremy's password is the combination of letters and numbers shown below. He
wants to know the ratio of letters to numbers in this password. Use Jeremy's
password to write the ratio THREE different ways. (Hint: think about the different
formats) 27 R Q A58 E 3 (plz help I know the problem mightseem long but not really)
Answers
Answer:
numbers:letters
5:4 (numbers:letters form)
Step-by-step explanation:
There are 5 numbers in the password and 4 letters
Hopefully this helps :)
A. 15-0.5(4x-2)+4x=17 (show your work)
solve.
B. solve the system of equations by using the linear combination method.(show your work)
n=m+1
m=2n+2
Answers
Answer:
A) x = 1/2
B) m = -4
n = -3
Step-by-step explanation:
A)
\(15-0.5(4x-2)+4x=17\)
Expand the brackets:
\(\implies 15-2x+1+4x=17\)
Collect and combine like terms:
\(\implies 2x+16=17\)
Subtract 16 from both sides:
\(\implies 2x=1\)
Divide both sides by 2:
\(\implies x = \dfrac12\)
B) Equation 1: n = m + 1
Equation 2: m = 2n + 2
Rewrite equation 1 to make m the subject:
m = n - 1
Subtract m = n - 1 from equation 2 to eliminate m:
0 = n + 3
Solve for n:
n = -3
Substitute n = -3 into either of the original equations and solve for m:
m = 2(-3) + 2
⇒ m = -4
If a sample of 99 students is taken from a population of 352 students, the population variance, σ2, is the variance of how many students' heights?
A.
Neither 99 nor 352
B.
352
C.
Both 99 and 352
D.
99
Answers
Answer:
If a sample of 99 students is taken from a population of 352 students, the population variance, σ2, is the variance of the entire population, which includes all 352 students. Therefore, the answer is (B) 352.
It's worth noting that the sample of 99 students could be used to estimate the population variance if certain assumptions are met and appropriate statistical methods are used. However, the question specifically asks for the population variance, which refers to the variance of the entire population, not just the sample.
Answer:
If a sample of 99 students is taken from a population of 352 students, the population variance, σ2, is the variance of the heights of all 352 students in the population.
Therefore, the answer is B. 352.
In a clinical trial of a drug intended to help people stop smoking, subjects were treated with the drug for weeks, and subjects experienced abdominal pain. If someone claims that more than % of the drug's users experience abdominal pain, that claim is supported with a hypothesis test conducted with a significance level. Using as an alternative value of p, the power of the test is . Interpret this value of the power of the test.
Answers
The power of 0.95 shows that there is a 95% chance of rejecting the alternative hypothesis of p = 0.16 where the true proportion is actually 0.08. That is if the proportion of users who experience abdominal pain is actually 0.08, then there is a 8% chance of supporting the claim that the proportion of users who experience abdominal pain is more than 0.08.
How to Interpret the Power of a Hypothesis?Given that the alternative value of p is 0.16, it means that the power of the test is 0.95.
This means that if the true proportion of drug users experiencing abdominal pain is indeed 0.16, then by conducting the hypothesis test with a significance level of 0.05, we will correctly reject the null hypothesis and support the claim that more than 8% (0.08) of the drug's users experience abdominal pain with a probability of 0.95.
In other words, the power of 0.95 indicates that the test has a high chance (95%) of correctly detecting a true difference and correctly concluding that the proportion of drug users experiencing abdominal pain is greater than 8% when the true proportion is actually 16%. It demonstrates the test's ability to identify and support the alternative hypothesis when it is true.
It's important to note that the power of the test is influenced by factors such as sample size, significance level, effect size, and variability. In this case, with a power of 0.95, there is a high probability of detecting the claimed difference if it truly exists.
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A toy falls from a window 80 feet above the ground. How long does it take the toy to hit the ground?
Answers
Answer:
2.24 s
Step-by-step explanation:
Given:
Δy = 80 ft
v₀ = 0 ft/s
a = 32 ft/s²
Find: t
Δy = v₀ t + ½ at²
80 ft = (0 ft/s) t + ½ (32 ft/s²) t²
t = 2.24 s
EHO
Using the following model, answer questions 1 - 2:
You bought a new car for $17,7 in 2005. Its value
has been decreasing by about 13% each year
Cuz Rocha
APPLICATIONS on Modeling Exponential Functions
Answer the following applications. Round your answers to 2 decimal places. Find the solution in the
Answer Bank. When you find a match, place the question number next to the color. Color the picture
accordingly to reveal the mystery picture!
1. Write an exponential model for the value of the car after "x" years
2. What will the car be worth in 2015?
Name:
Using the following model, answer questions 3 - 4:
The population of a small town has been increasing at
1.5% due to an economic boom in the area. The
population was 7,650 in 1995.
Using the following model, answer questions 5 - 6:
Peter earned $2,300 last summer. He deposited the
money in his savings account that earns 2.4% interesi
compounded annually.
Using the following model, answer questions 7 - 8:
You have inherited land that was purchased for
$10000 in 1950. The value of the land incrocisty
approximately 4% per year.
Using the following model, answer questions 9 - 10:
The student enrollment of a high school was 1250 in
2000 and decreased by 1% per year until 2015.
Using the following model, answer questions 11- 12:
You bought a commemorative coin for $150. Each year,
x, the value of the coin increased by 2.5%.
Applications on Modeling Exponential Functions
1. log₂ 128=7
ections: Write
4th
Date:
Rocha
Period:
3. Write an exponential model for the population in this town in a particular year
"X"
4. What is the population in 2017
5. Write an exponential model to describes the amount of money in the bank
after x number of years
6. How much money will Peter have in 8 years?
7. Write an exponential model for the value of the land x years after 1950
7.
What is the approbate value of the land in the year 2010
9. Write an exponential model to show school's student enrollment in terms of
x, the number of years since 2000.
10.
What is the number of students in 2015?
11. Write an exponential model to give the value of the coin after x number of
years.
12. What is the value of the coin at 50 years?
Never Give Up On Math 2017
:I
173
3.
nece
Answers
Answer:
If f(x) = +4, which of the following is the inverse of f(x)?
O A. ƒ˜¹(x) = 2(2+4)
B. ƒ˜¹(x) = 7(2-4)
C. ƒ˜¹(x) = 7(2+4)
D. f¯¹(x) = ²(2-4)
Step-by-step explanation:
please can someonehelp me with this please.
here is the picture
Answers
The domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.
What is Domain of a function?Domain is the set of {x} - values for which a function {y - values} exists. It is one of the important parameter while defining the characteristics of a function.
Given is the function as -
f(x) = (x - 3)²
{ 1 } -
The domain of the function f(x) = (x - 3)².
The function has no undefined points. So, we can write the domain as -
Domain → (- ∞ , + ∞)
{ 2 } -
The inverse of the function f(x) = (x - 3)².
We have -
f(x) = (x - 3)²
y = (x - 3)²
x = (y - 3)²
y - 3 = √x
y = 3 + √x
Therefore, the domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.
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NO LINKS!!
A consulting engineer's time is billed at $40 per hour, and her assistant's is billed at $10 per hour. A customer received a bill for $425 fir a certain job. If the assistant worked 5 hours less than the engineer, how much time did each bill on the job?
Engineer: _____ hr
Assistant: ______ hr
Answers
Answer:
Engineer: 9.5 hr
Assistant: 4.5 hr
Step-by-step explanation:
To solve this problem, we can create and solve a system of equations.
Define the variables:
Let x be the number of hours the engineer worked.Let y be the number of hours the assistant worked.Given the engineer's time is billed at $40 per hour, and her assistant's is billed at $10 per hour, and a customer received a bill for $425 for a certain job:
\(40x+10y=425\)Given the assistant worked 5 hours less than the engineer:
\(y=x-5\)Therefore, the system of equations that represents the problem is:
\(\begin{cases}40x+10y=425\\ \quad \qquad \;\;\;y=x-5\end{cases}\)
Substitute the second equation into the first equation to eliminate y:
\(40x+10(x-5)=425\)
Solve the equation for x to find the number of hours the engineer worked:
\(\begin{aligned}40x+10(x-5)&=425\\40x+10x-50&=425\\50x-50&=425\\50x&=475\\x&=9.5\end{aligned}\)
Therefore, the engineer worked 9.5 hours.
Substitute the found value of x into the second equation and solve for y to find the number of hours the assistant worked:
\(\begin{aligned}y&=x-5\\y&=9.5-5\\y&=4.5\end{aligned}\)
Therefore, the assistant worked 4.5 hours.
P=x-2 ÷ x+1 for whar value of x is P equal to zero
Answers
Answer:
x = 2
Step-by-step explanation:
P = \(\frac{x-2}{x+1}\)
P will equal zero when the numerator is equal to zero , that is
x - 2 = 0 ( add 2 to both sides )
x = 2
P = 0 when x = 2
The triangles shown below must be congruent.
Answers
Answer:
Yes, they are congruent
Step-by-step explanation:
The triangles are congruent as they follow the ASA rule or, Angle Side Angle.
All the angles AND sides are corresponding, so they are congruent.
Hope this helped (:
Superior Segway Tours gives sightseeing tours around Chicago, Illinois. It charges a one-time fee of $40, plus $35 per hour. What is the slope of this situation?
80
65
40
35
Answers
Answer:
d. 35
Step-by-step explanation:
y = 35x + 40
The slope is 35 as 'm' is the slope of the equation
LMK IF IT WAS RIGHT!!
Answer:
D (35)
Step-by-step explanation:
Deion is purchasing cat food the brand he plans to buy comes in two sizes
• The small bag weighs 3 pounds
•The large bag weighs 8 pounds
last time deion purchased the small bag that weighs 3 pounds, which costs $15 This time he is planning on buying the large bag that weighs 8 pounds
if both bags cost the same per pound how much total (in dollars) does the large 8 pound bag of cat food cost?
Answers
Answer:
Step-by-step explanation:
$15/(3 pounds) = $5/pound
8 pounds × $5/pound = $40
explain how to write function rule from the table below. Then write a function fule. x=0,2,4,6. y=2,1,0,-1
Answers
Both representations are equivalent and describe the same function.the function rule for this table is: f(x) = -1/2 x 2
What do you mean by Slope in Graph ?
The slope or gradient of a line is a number that describes both the direction and the steepness of the line. A slope of a line is the change in y coordinate with respect to the change in x coordinate.
To write a function rule for a given array, we need to determine how the values in the output column (y) relate to the values in the input column (x).
Looking at the given data, we notice that the output values decrease by 1 every time the input value increases by 2. This suggests that the function is linear and that we can use the slope-intercept form of a linear equation to represent it. .
The slope-intercept form of a linear equation is y = mx b, where m is the slope and b is the y-intercept. In this case, the slope m is -1/2 because the output values decrease by 1 every time the input values increase by 2. The y-intercept b is 2 because the output value is 2 when the input value is 0.
Therefore, the function rule for this table is:
f(x) = -1/2 x 2
where x is the input value and f(x) is the output value.
Alternatively, we can also represent the function in table entries, for example:
f(0) = 2
f(2) = 1
f(4) = 0
f(6) = -1
Both representations are equivalent and describe the same function.
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Fred is standing at a point looking north. He walks on a bearing 056° for 9.8km before stopping. He then walks an additional 3.5 km on a bearing of 112° before stopping to rest. (a) Find out how far he is away from his start point using sine or cosine rule (b) Determine the area of the enclosed shape (c) Draw neat labeled scale diagram of the same
Answers
The area of the enclosed shape is about 14.47 km^2.
We are given that;
056° for 9.8km and 3.5 km on a bearing of 112°
Now,
We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:
y = 180° - 56° - 112°
y = 12°
Now we can use the cosine rule to find z:
z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)
z^2 ≈ 101.87
z ≈ 10.09
Therefore, Fred is about 10.09 km away from his start point.
To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:
sin(56°) = x/9.8
x = 9.8 sin(56°)
x ≈ 8.27
The area of a triangle is given by half the base times the height, so:
A = (1/2)(3.5)(8.27)
A ≈ 14.47
Therefore, by trigonometric ratios the answer will be 14.47 km^2.
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Shown below is a wooden six-sided (hexagon) frame. Which of
the following best approximates the slopes of the six line
segments?
O The slopes are approximately -1.4, 0, and 1.4.
O The slopes are approximately -1.7, 0, and 1.7.
O The slopes are approximately -1.8, 1, and 1.4.
O The slopes are approximately -1.7,0, and 1.4
Answers
The slopes are best approximated as: The slopes are approximately -1.7, 0, and 1.7.
How to find the slope between two coordinates?The formula to find the slope between two coordinates is expressed as:
Slope = (y₂ - y₁)/(x₂ - x₁)
The slope of each line above the x-axis are:
Slope 1 = (5 - 0)/(5 - 8)
Slope 1 = -1.7
Slope 2 = (5 - 5)/(5 - (-2))
Slope 2 = 0
Slope 3 = (5 - 0)/(-2 - (-5))
Slope 3 = 5/3 = 1.7
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what is the sum 3/x+9+5/x-9
Answers
Answer:
\(\frac{8}{x}\)
Step-by-step explanation:
what is the sum 3/x+9+5/x-9
\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\) (add \(\frac{3}{x}\) and \(\frac{5}{x}\))
\(\frac{8}{x} + 9 - 9 =\) (solve 9 - 9 = 0)
\(\frac{8}{x}\) ( your answer)
Write the sentence as an inequality.
A number n plus 7 is less than or equal to 9.
The inequality is
Answers
Answer:
Step-by-step explanation:
We need to change the English writing into an inequality.
We know that a number "n" added to 7 is less than or equal to 9.
This can be written as follows:
n + 7 ≤ 9
Now, we will isolate the "n" at one side of the inequality. We will do this by subtracting 7 from both side as follows:
n + 7 - 7 ≤ 9 - 7
n ≤ 2
Evaluate: sin-¹(1)
A) 0
B) pi/3
C)pi/2
Answers
Answer:
The correct answer is C. Pi/2
Step-by-step explanation:
I got it wrong on edgen, and it told me the correct answer was C.
Approximate square root of 35 using an appropriate linear approximation.
Answers
Answer:
5.91
Step-by-step explanation:
35 is between the perfect squares 25 and 36.
√25 = 5
√36 = 6
/ 5 25 \
| d 10 |
1 < x 35 > 11
| 1 |
\ 6 36 /
11/1 = 10/d
11d = 10
d = 0.909
√35 = 5 + d = 5.909
√35 = 5.91
7.
If one United States dollar is worth $6.46 in yen (Chinese currency) in Euro money,
how much is $100 in Yen worth in United States money, to the nearest cent?
Answers
Answer:
$15.48
Explanation:
100 ÷ 6.46 = 15.479876
does anyone know how to solve this? and if so can you put an explanation? ive been struggling with this question for a while
Answers
Answer:
x = 31
Step-by-step explanation:
So, the angle of a line is 180 degrees. This is a very important fact, because this means that (5x - 16) + (x + 10) = 180 degrees.
Note: The parenthesizes are not needed, but I put them there to symbolize the adding of those two angles that make up the line.
Adding like terms, we get:
6x - 6 = 180
Move the -6 over to the right side.
We get:
6x = 186
Dividing both sides by 6, we get the value of x:
x = 31
If you have any questions, please don't be afraid to ask!
There are 800 pupils at Stoke College in Years 7, 8 & 9 in total. There are 27% of them
in Year 7,38% in Year 8. How many pupils are in Year 9?
Answers
Answer:
280 pupils
Step-by-step explanation:
27 + 38 + x = 100 Find what percentage is the Year 9 which is 35%
800 x 0.35 = 280 pupils
OK ILL SAY IT PEOPLE WANT MONEY TO ANSWER PROBLEMS HERE If the mean of six nu m b e rs is 48, does one
of the nu m b e rs have to be 48? Explain
why or why not. Give an example with six
nu m b e rs to show your answe
Answers
Answer:
No, because a mean is the average.
Step-by-step explanation:
Consider the following example:
The set is:
19, 23, 11, 31
if you add all these up you get 84.
Then you divide by 4 and get 21. So, 21 is the mean but, when you look at the set of numbers, 21 is not there. So, the same goes for any number, a number can still be the mean even if it is not in the set.
nikola buys a bouquet of 8 sunflowers for $18. what is the cost of 1 sunflower
Answers
Answer:
$2.25
Step-by-step explanation:
18/8=2.25
Answer:
$2.25
Step-by-step explanation:
To solve this, you would divide the total cost by the 8. To check you would multiply 8 by 2.25 and end up with 18 again
According to the stem-and-leaf plot above, how many drivers travel less than 70 miles per hour
Answers
The number of drivers that travelled about 70 miles per hour is option B. 14
How to find the number?You should know that The distance travelled is the path taken by a body to get from an initial point to an end point in a given period of time, at a certain velocity. If the velocity is constant:
When reading a stem and leaf plot, the outside numbers represent the tens and the inside numbers represent the units.
For example, take 5 | 4.
5 is the ten and 4 is the unit, making it 54.
If you understand that, then I think you'll understand how I got my answer.
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Determine if the following events are independent.
a. Not shutting off the water in the kitchen sink.
b. Receiving a high water bill.
Answers
Step-by-step explanation:
To determine if events are independent, one has to confirm if there's no relationship between the events.
Event A. Not shutting off the water in the kitchen sink.
Event B. Receiving a high water bill.
Both Events are related as Event B is proportional to Event A. This means they are not independent but rather dependent
14. Simon earned 400sh as a for goods sold what Commission 15,000 worth so, 600 could be his varnings for a total sale of 7,000
Answers
His total earnings for a total sale of 7,000 could be 1450sh
How to determine his earnings for a total sale of 7,000.From the question, we have the following parameters that can be used in our computation:
Salary = 400
Commission = 15%
using the above as a guide, we have the following:
Total earnings = 400 + 15% * Total sales
So, we have
Total earnings = 400 + 15% * 7000
Evaluate
Total earnings = 1450
Hence, the total earnings is 1450
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Question
Simon earned 400sh weekly for goods sold and a commission of 15%
What could be his earnings for a total sale of 7,000.