Answer:
a. Jean, because her commute is in the country.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whoever has the higher z-score will have the longer commute.
Mary:
Travels for 35 minutes. In big cities, average commutes are 40 minutes with a standard deviation of 15 minutes. This means that [tex]X = 35, \mu = 40, \sigma = 15[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{35 - 40}{15}[/tex]
[tex]Z = -0.33[/tex]
Jean:
Travels for 30 minutes. In rural areas, the average commute is 25 minutes with a standard deviation of 6 minutes. This means that [tex]X = 30, \mu = 25, \sigma = 6[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30 - 25}{6}[/tex]
[tex]Z = 0.83[/tex]
Due to being in the Country, Jean's z-score is higher, so her commute is longer. The correct answer is given by option A.
The true statement is (a) Jean, because her commute is in the country.
For Mary, we have the following parameter:
x = 35 minutes from the city
For Jean, we have the following parameter:
x = 30 minutes from the county
The z-score is calculated as:
[tex]z = \frac{x - \bar x}{\sigma}[/tex]
For the city, we have:
[tex]\bar x = 40[/tex]
[tex]\sigma = 15[/tex]
So, the z-score of Mary is:
[tex]z = \frac{35 - 40}{15} = -0.33[/tex]
For the country, we have:
[tex]\bar x = 25[/tex]
[tex]\sigma = 6[/tex]
So, the z-score of Jean is:
[tex]z = \frac{30 - 25}{6} = 0.83[/tex]
0.83 is greater than -0.33
Hence, Jean has a longer commute
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To investigate housing needs in the future, a town planning committee
created a model to help predict the growth of the population of the town. The
data are shown in the table.
Answer:
P(t) = 5.24(1.030)^t
Step-by-step explanation:
The model for P(t) , the population of the town, t years after 1985, best fits the data is option C. P(t) = 5.35 (1.029)^t.
What is Population Growth?Population growth is defined as the increase in the number of people which is calculated using population growth rate.
Population growth is an exponential function.
So, the function will be of the form,
P(t) = a (b)^t
Initial population is the population in 1985.
P(0) = a (b)⁰ = 5.35
⇒ a × 1 = 5.35 (Since any number raised to 0 is 1)
⇒ a = 5.35
Population in 1990, that is after 5 years is,
P(5) = a (b)⁵ = 6.01
⇒ 5.35 (b)⁵ = 6.01
⇒ (b)⁵ = 1.123
⇒ b = 1.024
So the function which best models is P(t) = 5.35 (1.029)^t.
Hence the function is C. P(t) = 5.35 (1.029)^t.
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Your question is incomplete. The complete question is given in the image below.
Delia put I two bags of blocks in the left-side pan of a balance. Each bag has the
same number of blocks. After she adds 10 blocks to the right-side pan, the pans
hang evenly. How many blocks are in 1 bag?
OMG?!?!?!!?! HELP!!!?!?!?! PLEASE !?!?!? Thanks to those who do :D <3
A pump can fill 1800KL tank in one hour. How long would it take to fill a 90 KL tank?
How many angles does a parallelogram have?
Answer:
4
Step-by-step explanation:
4 edges, 4 points, 4 angles
I just randomly guessed but could someone help plz-
Y=2
2x+y=8
Answer:
A (3,2)
Step-by-step explanation:
2x +2 = 8
2x = 6
x = 3
Answer:
(3,2)
Step-by-step explanation:
The market is located at point (−4, −3) on the coordinate graph. The barber shop is 8 units to the right and 4 units up from the market. Graph two points on the coordinate grid to show the location of the market and the location of the barber shop.
Answer:
(4, 1)
Step-by-step explanation:
8 units to the right = x + 8, so -4 + 8 = 4
4 units up = y + 4, so -3 + 4 = 1
Simone read online that the failure rate in Arizona for the first attempt of the written driver’s test is 60%. Simone thinks the Arizona rate is less than 60%. To investigate, she selects an SRS of 50 Arizona drivers and finds that 27 failed their first written driving test. To determine if this provides convincing evidence that the failure rate for Arizona is less than 60%, 200 trials of a simulation are conducted. Simone’s hypotheses are: H0: p = 60% and Ha: p < 60%, where p = the true proportion of Arizona drivers who fail the first attempt of the written driver’s test. Based on the results of the simulation, the estimated P-value of this test is 0.035. Using α = 0.01, what conclusion should Simone reach?
Because the P-value of 0.035 > α, Simone should reject H0. There is convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%.
Because the P-value of 0.035 > α, Simone should reject H0. There is not convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%.
60%.
Because the P-value of 0.035 > α, Simone should fail to reject H0. There is convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%.
Because the P-value of 0.035 > α, Simone should fail to reject H0. There is not convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%
Answer:
Its B
Step-by-step explanation:
edge 2021
A study of drive-thru wait times for fast-food restaurants found that the average time spent Wendy's drive-thru was 138.5 seconds. Assume that drive-thru wait times are normally distributed with a standard deviation of 29 seconds, A Wendy's owner wants to give a free Frosty to customers who have an unusually long wait in the drive-thru.
The length of time the owner should choose so that only 0.75% of customers get a free Frosty i.e. only 0.75% wait longer than ________ seconds) is _________ seconds (give your answer to 2 decimal places).
Answer:
207.72 seconds.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean waiting time of 138.5 seconds, standard deviation of 29 seconds.
This means that [tex]\mu = 138.5, \sigma = 29[/tex]
The length of time the owner should choose so that only 0.75% of customers get a free Frosty i.e. only 0.75% wait longer than
The 100 - 0.75 = 99.15th percentile, which is X when Z has a pvalue of 0.9915, so X when Z = 2.387.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.387 = \frac{X - 138.5}{29}[/tex]
[tex]X - 138.5 = 2.387*29[/tex]
[tex]X = 207.72[/tex]
So the answer is 207.72 seconds.
can you help me pls it's only 3 question's
Answer:
1. 0.8 2. 1.25 3. 27.5
Step-by-step explanation:
Number 1 is 4/5
Number 2 is just 5/4
And I think number 3 is 22/4 which is 5.5 then times 5 which is 27.5.
PLEASE HELP ME WITH QUESTION ONE AND EXPLAIN YOUR ANSWER PLEASE
Answer:
168 in³
Step-by-step explanation:
First, you get the area of the triangle - 1/2(7)(6)=21. Then you multiply it by the height. 21x8=168
Answer:
Answer in explanation
Step-by-step explanation:
The formula for volume of a triangular shape is Volume = base x height x length / divided by 2
1. V = 7 ( base ) x 6 ( height ) x 8 ( length ) divided by 2 = 168in3 ( in cubed )
2. V = 5 ( base ) x 6 ( height ) x 3 ( length ) divided by 2 = 45in3 ( in cubed )
* make sure you put all your answers for volume in in3
I hope this helped, good luck!
HELPPP PLEASE YOU’LL GET 10 POINTS
Answer:
angle y and angle x
Step-by-step explanation:
Elmer has a collection of 300 fossils. Of these, 21% are fossilized snail shells. How many fossilized snail shells does Elmer have?
Answer:
63
Step-by-step explanation:
300 x 0.21 = 63
Select which of the following biconditionals is true. (Check all that apply.)
a. If n is even, then 7n + 4 is even; if 7n + 4 is even, then n is even.
b. If n is odd, then 7n + 4 is odd; if 7n + 4 is odd, then n is odd.
c. If n is even, then 7n + 4 is even; if 7n + 4 is odd, then n is odd.
d. If n is odd, then 7n + 4 is even; if 7n + 4 is even, then n is odd.
Find the equation of the given line.
Find the equation of the line passing through
(5, 6) and (7, 9).
Answer:
y = 3/2x - 1.5
Step-by-step explanation:
m = y² - y¹ / x² - x¹
= 9 - 6 / 7 - 5
= 3/2
(5,6)
y = mx + c
6 = 3/2 (5) + c
6 = 7.5 + c
6 - 7.5 = c
c = -1.5
Please answer quick just super small explanation pls hurry quick for brainlessly answer
Simplify the expression:
P + 7p + 5p
P = ?
A. 13p
B. 13
C. 16p
D. 16
Which of the following shows the factored form of x2 + 7x – 8?
Answer:
Step-by-step explanation:
Go to algebra calculator it will show the answer.
Answer:
(x-1) (x+8)
Step-by-step explanation:
If you factor this question out correctly, you would get the answer above.
A survey of 2645 consumers by DDB Needham Worldwide of Chicago for public relations agency Porter/Novelli showed that how a company handles a crisis when at fault is one of the top influences in consumer buying decisions,with 73% claiming it is an influence. Quality of product was the number one influence, with 96% of consumers stating that quality influences their buying decisions. How a company handles complaints was number two, with 85% of consumers reporting it as an influence in their buying decisions. Suppose a random sample of 1,100 consumers is taken and each is asked which of these three factors influence their buying decisions.
Answer:
Step-by-step explanation:
The question that follows the passage include:
[tex]\text{a. What is the probability that more than 810 consumers claim that how a company } \\ \\ \text { handles a crisis when at fault is an influence in their buying decisions?}[/tex][tex]\text{b. What is the probability that fewer than 1,030 consumers claim that quality} \\ \\ \text{ of product is an influence in their buying decisions?}[/tex]
From the given information:
the sample size = 1100
P = 73% = 0.73
Sample proportion [tex]\hat p = \dfrac{810}{1100} = 0.7364[/tex]
The Z test statistics can be computed as:
[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
[tex]Z = \dfrac{0.7364 - 0.73}{\sqrt{\dfrac{0.73(1-0.73)}{1100}}}[/tex]
[tex]Z = \dfrac{0.0064}{\sqrt{\dfrac{0.1971}{1100}}}[/tex]
[tex]Z =0.478[/tex]
a) Now the required probability of more than 810 claims is:
[tex]P(X> 810) = 1 - P(X<810) \\ \\ \implies 1 - ( X< 0.478) \\ \\ \implies 1 - 0.68367 \\ \\ = \mathbf{0.3163}[/tex]
b) The probability of less than 1030 consumers is:
Probability of quality product influencers = 96% = 0.96
Sample proportion [tex]\hat p = \dfrac{1030}{1100}[/tex] = 0.9364
The Z test Statistics is:
[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
[tex]Z = \dfrac{0.9364 - 0.96}{\sqrt{\dfrac{0.96(1-0.96)}{1100}}}[/tex]
[tex]Z = -3.994[/tex]
[tex]P(X < 1030) = 1 - P(3.99) \\ \\ \implies 1 - 0.99999669 \\ \\ \implies \mathbf{0.00003 }[/tex]
-4x² – 26 + 7x – 6x² + 10 -12x =
Answer:
-10x^2-5x-16
Step-by-step explanation:
collect like terms
-4x² – 26 + 7x – 6x² + 10 -12x =
-10x^2-16-5x
reorder it in ax^2+bx+c order
-10x^2-5x-16
6. Describe how we could conduct a simulation to decide whether a simple random sample from this population could produce a sample proportion like 0.55 if, in fact, only 50% of the population supports ban on smoking in cars when young children are present. Each trial represents Number of trials
Step-by-step explanation:
We have proportion p = 50/100 = 0.50
Probability of success = 1-0.50 = 0.50
To conduct simulation, let's assume experiment is to be done 10 times
1. Use binomial parameters n, number = 10, p = 0.50. we then get the necessary size of population To carry out the sampling.
2. We get a random sample and get the size of people who support an against smoking with kids in the car.
3. We repeat this process after drawing sample and also get the number of those in support of ban.
4. After getting n, we find proportion.
Ocean waves are hitting a beach with a frequency of 0.100 Hz. Their average wavelength is 15.0 m. What is their average speed?
Answer:
7 mph or 11.27 kphe
Step-by-step explanation:
Im pretty sure pls give 5 stars
Which scatter plot shows the relationship
between the amount of gasoline in an
automobile's tank and the distance travelled
since the last fill-up?
Answer:
-0.04x +17.2
Step-by-step explanation:
How many times was the number cube rolled
The ball was rolled 50 times.
6+4+8+12+10+10 = 50
Hope this helps; have a great day!
I need help with this problem please
Answer:
-9
Step-by-step explanation:
Remove parentheses.
9(−1)2−7
Subtract 77 from 22.
9(−1)−5
Rewrite the expression using the negative exponent rule b−n= 1/bn
91(−1)5
Raise −1 to the power of 5.
9(1/-1)
Divide 1 by −1.
9⋅−1
Multiply 9 by −1.
−9
Solve each equation below for the variable given.
134+ p =74 p =
25/8 + m = 7 1/8 m =
Answer: For the first one: P=-60
The second one: m=4
Step-by-step explanation:
134+p=74
You move to the right and you change the sign
Like this: p=74-134
Then you Calculate the difference
So p=-60 which is your answer
The second one: 25÷8+m=7 1/8
You divide the numbers like this:3.125m=7 1/8
Convert the mixed number into an improper fraction.. like this: 3.125+m=57/8
Move constant to the right and change the sign
Like this: m=57/8 - 3.125
Convert the decimal into a fraction
m=57/8-25/8
Then you Calculate the difference
So it will be m=4 which is your answer
Let me know if this helps
Shade two or more squares so that this grid has rational symmetry of order 4.
Answer:
Bottom row - the 4th square
Row above bottom row - the 1st square
Step-by-step explanation:
Bottom row - the 4th square
Row above bottom row - the 1st square
Which of the following is NOT equivalent to (3x – 12)(x + 4)?
3(x2 – 8x + 16)
3(x2 - 16
3x2 - 48
3x(x + 4) – 12(x + 4)
Answer:
3x^{2}+12x-12x-48
3x^{2}-48
Step-by-step explanation:
I hope this answer has helped you
The given factor (3x – 12)(x + 4) is not equivalent to the 3(x2 – 8x + 16) hence, correct option is (A).
What is an algebraic factor?An algebraic factor is the multiplication of two algebraic terms.
That term could be in form of summation multiplication or in subtraction.
The root of the quadratic equation formed by the algebraic factor is always real.
If we divide algebraic factor by a factor which is available inside then the remainder after the division will be zero.
Given that equation
(3x – 12)(x + 4)
⇒ 3x² + 12x - 12x - 48
⇒ 3x² - 48.
Now by option cross-checking
In option (A)
3(x² – 8x + 16)
⇒ 3x² - 24x + 48 which is not equal to the (3x – 12)(x + 4).
Hence correct option will be 3x² - 24x + 48.
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Find each angle measure. ( Diagrams are not drawn to scale.)
Answer:
1-141
2-39
3-141
Step-by-step explanation:
180-39=141
1 and 3 look the same size and 2 looks the same as c (39°) so you jsut fill in for the letters
I'm pretty sure this is right
Pls someone help me with this question pls
pls answer ill give brainliest
Answer:
15
Step-by-step explanation:
the angle is opposite to 60 so it is also 60
60-45 = 15
Hope this helps :)