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
Read more about normal distribution at:
https://brainly.com/question/25638875
the diameter of a circle is 8. what is the area of the circle in terms of π?
Answer:
Step-by-step explanation:
radius r = 8/2 = 4
area of circle = πr² = 16π units²
help with math pretty easy will give 5 star and brainlyist
Answer:
area = 96 units²
Step-by-step explanation:
area = 16 x 12 x 0.5 = 96 units²
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If I had to find the perimeter of triangle, I would:
Group of answer choices
take the square root of the hypotenuse
multiply all sides together
Add all three side measures together
apply the formula for circumference
Answer:
Add all three side measures together
Step-by-step explanation:
That is how you find the perimeter of most shapes.
Hope this helps! :)
Answer:
add all three aide measures together. I'm not sure but I'd someone give another answer go with it. have a nice day
Rewrite 10(a - b + 4) using the distributive property.
Answer:
10
A research firm conducted a study to determine the average amount of money that smokers spend on cigarettes during a week. The firm found that the population mean amount that all smokers spend on cigarettes is $20 and the population standard deviation is $5. What is the probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average
Answer:
0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The firm found that the population mean amount that all smokers spend on cigarettes is $20 and the population standard deviation is $5.
This means that [tex]\mu = 20, \sigma = 5[/tex]
Sample of 100:
This means that [tex]n = 100, s = \frac{5}{\sqrt{100}} = 0.5[/tex]
What is the probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average?
This is the pvalue of Z when X = 21 subtracted by the pvalue of Z when X = 19. So
X = 21
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{21 - 20}{0.5}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
X = 19
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{19 - 20}{0.5}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.9772 - 0.0228 = 0.9544
0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average
[tex]1 \div 7[/tex]
Answer:
1/7 or 0.14
Step-by-step explanation:
Answer:
0.14
Step-by-step explanation:
All I did was plug it into my calculator. If you don't have one, you can use your phone or computer. Both devices have calculators programmed in. This answer is not the exact answer; it is just the first two decimals.
Please let me know if you need more help. Hope this helps!
The distance from the pitcher’s mound to home plate is 60.5 feet. Does this form a right triangle with first base? Explain your reasoning
Answer:
NO.
Step-by-step explanation:
60.5 + 60.5 = 121
One year a surf board maker had $3.5 million in sales. In later year,
sales y (in millions) increased by about 15% each year. Which function
models the amount of money the maker will have after t years?
Answer:
I need help with this one
Step-by-step explanation:
(Middle schoolers!)
If you need help with Draw Inferences from Data I have everything you need!
Just ask the question then come to me and I can answer it for you!
This is for do you know/how do you understand!
Answer:
Ok! tysm!
Answer explanation:
Sally is making 15 individual blueberry cheesecakes. How many pounds of blueberries will be in each cheesecake if 5 1/4 pounds of blueberries are divided equally among them?
Answer:
0.35 pounds in each cheesecake
Step-by-step explanation:
Number of individual blueberry cheesecakes = 15
Pounds of blueberries = 5 1/4 pounds
How many pounds of blueberries will be in each cheesecake if 5 1/4 pounds of blueberries are divided equally among them?
= 5 1/4 ÷ 15
= 21/4 ÷ 15
= 21/4 × 1/15
= (21*1)/(4*15)
= 21/60 pounds
Equivalent to 0.35 pounds in each cheesecake
6th grade work please tell me the answer fast and don’t give me and incorrect one
Answer: 222cm
Step-by-step explanation:
To find the area of this composite shape you will have to split them into 2 shapes; a rectangle and a triangle.
To work out the area of the rectangle you have to do 15×12= 180
Then, to work out the area of the triangle, you use the formula base times height divided by 2.
7×12=84
84÷2=42
Then to work out the total area of both the rectangle and the triangle, you have to add the area of both.
180+42=222cm
Hope this helps :)
1, write a ratio in all three forms, to compare the days without games to the days in a year?
Answer:
1. 363 to 2
2. 363:2
3. 363/2
Step-by-step explanation:
1. First of all, there are 365 days in a year.
* Note that the question says there are only 2 days where sports aren't played.
2. As said in the question there are 3 ways to write a ratio: a to b; a : b; a/b. Now, let's think that what are a and b in this scenario? a= says without games= 2; and b= days in a year= 365.
3. Now fill in the variables with the numbers for each form of a ratio.
a. 363 to 2
b. 363:2
c. 363/2
??????????????????????????
Answer
I believe it is 1/12
Step-by-step explanation:
as it is 24 ft tall, and then the model is 2 ft tall
22 ft is subtracted
so basically for every 12 ft one is added to the model
so 1/12 should be the ans
At one point in a winter sky in North America, the distance between the Earth and
Jupiter was 391 million miles and the distance between Earth and Mars was 160
million miles. The included angle between these two distances was 118°, At that
particular time, what was the approximate distance between Mars and Jupiter?
Answer:
2.154
Step-by-step explanation:
.2453
Find the slope of the line that passes through (1, -19) and (-2, -7)
Answer:
y = -4x-15
Step-by-step explanation:
y = ax+b
-19=a+b
-7=-2a+b
==> a = -4
b = -15
norma had 3/8 birthday cake left over from her party she ate 3/4 of the cake for lunch. how much did she eat at lunch?
Answer:
1/12
Step-by-step explanation:
Fraction is the representation of the parts of a whole number. The amount of cake ate by Norma in the lunch is 9/32 parts.
Given-Total cake left over by the Norma after the party is 3/8.
Total cake she ate for the lunch is 3/4.
The value of the whole cake is given in the fraction parts. To solve this the fraction should be understood.
What is fraction?Fraction is the representation of the parts of a whole number.
As the one whole of cake was there earlier. The 3/8 part of the cake is,
[tex]=\dfrac{3}{8}[/tex]
As she ate the 3/4 part of the left over cake in the lunch. Suppose the part of cake she ate is x. Therefore the part of cake she ate at lunch is,
[tex]x=\dfrac{3}{8} \times\dfrac{3}{4}[/tex]
[tex]x=\dfrac{9}{32}[/tex]
Hence, the amount of cake ate by Norma in the lunch is 9/32 parts.
Learn more about the fraction here;
https://brainly.com/question/1301963
Match each pair of points a and B to point C such that ABC equals 90°
I don't really get what you mean
Solve each equation please?
6) 3x - 5 = 10
7) 36 = 4x + 12
8) 3(x + 2) = 36
9) 7(2x - 15) = 63
Answer:
6) x=5
7)x=6
8)x=10
9)x=12
Step-by-step explanation:
6) 3x-5=10. 7) 36=4x+12. 8) 3(x+2)=36
+5 +5. - 12. - 12. 3x + 6=36
3x = 15. 24 = 4x. - 6. -6
÷3. ÷3. ÷4. ÷4. 3x=30
x=5. 6 = x. x = 10
9) 7(2x-15)=63
14x - 105=63
+105. +105
14x = 168
÷14. ÷14
x=12
(d) Chris chooses a card at random, replaces it, then chooses a
cards she chooses has the letter M printed on it.
(e) Graham chooses a card at random and does not replace it. He continues until he chooses a card with the letter M
printed on it. Find the probability that this happens when he chooses the 3rd card.
Question 2
Percy throws a fair dice until he gets a five.
...
:
20
(a) Work out the probability that Percy gets the five on his first throw.
(b) Find the probability that he has to throw the dice exactly twice to get the five.
(c) Calculate the probability that he will have the throw the dice more than twice to get a five.
Answer:
Step-by-step explanation:
I'm assuming you have 26 cards each with a different letter on it.
(d) Prob(Not M, Not M , M)
= 25/26 * 25*26 * 1/26
= 625/17576
or 0.036 to nearest thousand
(e) Prob(Not M, Not M, M) without replacement
= 25/26*24/25*/1/24
= 1/26
or 0.038 to nearest thousandth.
2(a)
1/6.
(b)
5/6 * 1/6
= 5/36.
(c)
5/6 * 5/6
= 25/36
Is 2.5 : 8 and 7.5 : 24 equivalent?
Answer:
Yes
Step-by-step explanation:
[tex]\frac{2.5}{8} = \frac{7.5}{24} = \frac{5}{16}[/tex]
Answer:
yes it is equivalent
because when we multiple 3
to both 2.5 and 8
then it will. 7.5:24
so, answer is yes
hope it helps
What is the probability that a data value in a normal distribution is between a
z-score of -0.37 and a z-score of 1.22? Round your answer to the nearest
tenth of a percent.
A. 54.3%
B. 52.3%
C. 51.3%
D. 53.3%
Answer:
53.3%
Step-by-step explanation:
It's the correct answer that's why
I need this fast pls
Answer:
D
Step-by-step explanation
-2 1/2 is less than -1 1/2, s -2 1/2<-1 1/2
how do i see if 5 + 3 x -2 and x + 2 (x + 1) + 1 are equivalent or not?
Simplify both of the expressions and see if they are the same
5+3x-2
=3+3x
x+2(x+1)
=x+2x+2
=2+3x
They are not equivalent.
My sister plans to sell more than 250 boxes of cookies.
C>250
c250
Ob
Ос
Od
CS250
C2250
Next Page
Answer:
x > 250
Step-by-step explanation:
we are to express the statement using an inequality expression
Since my sister plans to sell more than 250 boxes of cookies, the inequality sign to use will be a greater than sign (>), since my sister is not selling amount less. Hence the required inequality will be x > 250 where;
x is the amount of box of cookies
HELP WILL MARK BRAINLIEST IF RIGHT!!!
Answer:
im so sorry bt I dont know this one
Step-by-step explanation:
2(T+1)=10 what does t equals ?
36 is 18% of what number
Answer:
200
Step-by-step explanation:
Do 36/0.18
200
a farmer sells 7.6 kg of apples and pears at the Farmers Market. Two-fifths of this weight is Apple's, and the rest is pairs. How many kilograms of pears does she sell at the Farmers Market?
Please help is for noww
Answer:
25¢
Step-by-step explanation:
Answer: Answer: $0.25
Step-by-step explanation:
Let x be the total money was in her wallet and m be the cost of each petunia,
From the given table , the money left in wallet after purchasing 2 petunia =$6.50
Then we have the following equation: 6.50 = x - 2m - - - - - ( 1 ) Also, the money left in wallet after purchasing 8 petunia =$5 Then, we have 5 = x - 8m - - - - - - - - - ( 2 ) Subtracting (2) from (1) , we get 6.50 - 5 = -2m - (8m) then -2m + 8m = 1.50 then we 6m = 1.50. m = 1.50/6 = 0.25 hope this helped.
Solve the inequality. 4a < 52
a < 208
a < 56
a < 48
a < 13
4a<52
All you have to do is divide 4 from a and 52.
4a<52
/4 /4
a<13
a<208 √
a<56 √
a<48 √
a<13 X
So the odd one out is a<13
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hope it helps