A supervisor finds the mean number of miles that the employees in a department live from work. He finds x Overbar = 29 and s = 3. 6. Which mileage is within a z-score of 1. 5? 21 miles 24 miles 36 miles 41 miles.
The correct option is (B).24 miles.
Z-score is basically another term for the specific number of standard deviations. I suppose we can assume normality here, even though it isn't given, so I'd make a rough sketch.
Otherwise, just use the basic formula:
[tex]z_{score} =\dfrac{x-\mu}{\sigma}[/tex]
Given that,
[tex]\bar{x}=29[/tex] (statistic for a mean) and [tex]s=3.6[/tex] (statistic for a standard deviation).
Since z-score must be Less than 1.5, So
[tex]1.5> \dfrac{x-29}{3.6}\\[/tex]
[tex]1.5 \times3.6 > x-29\\5.4+29> x\\34.4> x[/tex]
I just used normal cdf and got [tex]23.6<x<34.4[/tex].
Hence the correct option is (B).24 miles.
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Answer:
B
Step-by-step explanation:
Correcct on edge22
A teacher wants to give each student 2 pencils. A store is selling pencils in boxes of 24. If the teacher has a total of 125 students, how many boxes of pencils should he buy?
Answer:
10.41
Step-by-step explanation:
hehe
Answer:
11
Step-by-step explanation:
Total number of pencils needed = 125 × 2 = 250
Total number of boxes = [tex]\frac{250}{24}[/tex] = 10.416
the teacher need to buy 11 boxes
Michael is packing books into boxes. Each box can hold either 15 small books or
8 large books. He needs to pack at least 35 boxes and at least 350 books. Write
and graph a system of linear inequalities to represent the situation
Let x equal the number of tiny book boxes and y equal the number of large book boxes.
Because John must pack at least 35 boxes:
(number of tiny book boxes) + (number of large book boxes) = (at least) 35
x + y ≥ 35
Since John needs to pack at least 350 books:
(number of small books packed) + (number of large books packed) (is at least) 350
(number of small books per box)(number of boxes of small books) + (number of large books per box)(number of boxes of small books) ≥ 350
15x + 8y ≥ 350
Your system of inequalities is:
x + y ≥ 35
15x + 8y ≥ 350
GO INTO DESMOS TO GRAPH
HELP ME OUT REAL QUICK!
Answer:
Step-by-step explanation:
ab abahha
Write 5.4 as a mixed number and as an improper fraction.
Write your answers in simplest form.
Answer:
5.4 as a fraction is 27/5.
Step-by-step explanation:
Learned in 5th grade
EJ practice football for a minimum of 6 hours a
week. He practices for 1.5 hours each session. If
EJ has already practiced 3 hours this week, how
many more sessions must he practice to meet or
exceed his goal?
Answer:
He must practice at least 2 more times
Step-by-step explanation:
Find the value of √1600×8²+√4225
Step-by-step explanation:
√1600×8²+√4225
40 x 64 + 65
= 2625
plz I just wanna if my answers are true
Answer:
3^2
3^4
3^6
Step-by-step explanation:
9 is actually 3^2, so you have the first one wrong.
The second one is correct, but the third one is not
Since 9 is 3^2, you can write that as (3^2)^3, which is 3^6.
reasking the answer for this one, solve for x please and thank you. click on file
Answer:
44
Step-by-step explanation:
A circle is 360 degrees.
145 +136 + 35= 316
360-316= 44
44 Degrees
There is a line that includes the point (8,3) and has a slope of 1. What is its equation in slope-intercept form?
Answer:
y=x-5
Step-by-step explanation:
y-y1=m(x-x1)
y-3=1(x-8)
y-3=x-8
y=x-8+3
y=x-5
Can U solve it
plz explain fully !
Answer:
(9 ^ 3) x 0.04 (4/99)
Step-by-step explanation:
This seems overwhelming, but after simplifying, it will look much easier
Numerator (First Row)
First, we will combine like terms and simplify the top row
(9 ^ x + 1) x 8 - (9 ^ x - 1) x 81
(9 ^ x + 1) - (9 ^ x - 1) x (8 x 81)
(9 ^ 2x) x 648
Denominator (Second Row)
Next, we can combine like terms and simplify the second row
(9 ^ x) x 66 - (9 ^ x - 2) x 243
(9 ^ x) - (9 ^ x - 2) x (66 x 243)
(9 ^ 2x + 2) x 16,038
Simplify
Our expression is now
(9 ^ 2x) x 648
(9 ^ 2x + 2) x 16,038
We can simplify it as
(9 ^ 3) x 0.04 (4/99)
Under his cell phone plan, Jonathan pays a flat cost of $57 per month and $3 per gigabyte. He wants to keep his bill at $71.10 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Jonathan can use while staying within his budget.
Answer:
(71.10-57)/3=amount of gigabytes, 14.10/3=4 gigabytes allowed
Step-by-step explanation:
$71.10-$57=$14.10, the amount of money that Jonathan can spend on gigabytes. Then, determine how many times 3 can go into 14.10: 4 times. Jonathan can use four gigabytes and keep his bill under $71.10 a month.
The Roman god Neptune and the Greek god Poseidon BOTH were considered to be the god ofA)war.B)time.C)the sea.D)the underworld.
Answer:
C)The sea
Step-by-step explanation:
Ares is the god of war
Hades is the god of the underworld
Cronos is the god of time
What is the difference between the simple and compound interest if you borrow $3,000 at a 6%
interest rate for 2 years?
Which of the following are involved in graphs of linear equations.
* Intercepts
* The graph is a curve
* The graph is the solution set.
* Slope
* The equation usually has a squared variable
Answer:
Step-by-step explanation:
* Intercepts YES The point where the line crosses the y axis (the value of y when x=0)
* The graph is a curve No. It would not be a linear equation.
* The graph is the solution set. Yes.
* Slope Yes
* The equation usually has a squared variable No
PLLZ HELLP QUESTION IS BELOW!! :D
Answer:
The answer to the first question is 32 but I don't know the slope of the line, sorry
Complete the table for this equation.
y=x−3
Enter your answers by filling in the boxes.
x y
5
6
7
8
9
Answer:
5 => 2
6 => 3
7 => 4
8 => 5
9 => 6
Answer:
2,3,4,5,6
Step-by-step explanation:
y = 5 - 3 = 2
y = 6 - 3 = 3
y = 7 - 3 = 4
y = 8 - 3 = 5
y = 9 - 3 = 6
Question 2
1 pts
Directions: Include the inequality symbol and solution. If you need less than or equal
to, use "<" and for greater than or equal to use ">".
A taxi charges a flat rate of $7.50 plus an additional $0.35 per mile. If Aliana has at most
$25 to spend on the cab ride, how far could she travel?
She could travel
Answer:
17.85 answer
Step-by-step explanation:
u add the following and the ans u get u take it away from 25
The inequality representing the given statement is 25 ≥ 7.5 + 0.35 x and Aliana can travel a total of 50 miles.
What is inequality?An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.
Given:
A taxi charges a flat rate of $7.50 plus an additional $0.35 per mile,
Aliana has at most $25 to spend on the cab ride,
Write the equation as shown below,
The total charges of the taxi = flat rate + rate per mile × number of mile
The total charges of the taxi = 7.5 + x × 0.35
Here, x is the number of miles
The total charge should be equal to $25 or less than $25 then,
25 ≥ 7.5 + 0.35x
Solve for x
0.35x = 25 - 7.5
x = 17.5 / 0.35
x = 50 miles
Thus, she can travel a total of 50 miles.
To know more about inequality:
https://brainly.com/question/2038369
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An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, two methods to collect data are proposed.
Method A: 10 similar police cars owned by a city are selected. After the cars are filled with a fresh tank of gasoline, researchers randomly select 10 of the cars to receive the additive, while the other 10 do not receive the additive. The gas mileage for each car is recorded in miles per gallon.
Method B: 20 customers at an auto-parts store receive free coupons for the additive and are asked to use it with their next fresh tank of gasoline. The customers then report their gas mileage with the fuel additive.
Which method describes an experiment?
Method B is an experiment because every car receives the additive.
Method A is an experiment because the additive is used with a new tank of gasoline.
Both methods are experiments because the additive is used in a new tank of gas in both methods.
Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.
Answer:
Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.
Hit brainliest if this was helpful :)
Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.
What is experiment?
An experiment is a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried. Experiments provide insight into cause-and-effect by demonstrating what outcome occurs when a particular factor is manipulated.
What is mileage?
Mileage tells us how many number of miles travelled or covered.
According to questions, an auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, two methods to collect data are proposed.
In Method A: 10 similar police cars owned by a city are selected. After the cars are filled with a fresh tank of gasoline, researchers randomly select 10 of the cars to receive the additive, while the other 10 do not receive the additive. The gas mileage for each car is recorded in miles per gallon.
In Method B: 20 customers at an auto-parts store receive free coupons for the additive and are asked to use it with their next fresh tank of gasoline. The customers then report their gas mileage with the fuel additive.
Based on the questions, Method A is an experiment because random assignment determines which cars receive the additive and which cars do not. Method B does not report the mileage before fuel additive.
Hence, we can conclude that Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.
Learn more about experiment here:
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Angelique Calculated the slope of a line that passed through points (-5,4) and (2,-3) her work is shown below. identify her error and correct her mistakes.
Answer:
see explanation
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, 4 ) and (x₂, y₂ ) = (2, - 3 )
m = [tex]\frac{-3-4}{2-(-5)}[/tex]
Her error was subtracting 5 from 2 instead of - 5 from 2
m = [tex]\frac{-7}{2+5}[/tex] = [tex]\frac{-7}{7}[/tex] = - 1 ← corrected solution
HELLPPPPPP ASAP PLEASE
Answer:
the answer is A
Step-by-step explanation:
Help please! Due today
Answer:
First triangle: 54.46 degrees
Step-by-step explanation:
For the first problem, solve for the third side, then the third angle, and then subtract from 180.
20^2 + 28^2 = c^2
400 + 784 = c^2
1184 = c^2
34.41 = third side
Find the third angle:
sin(90)/34.41 = sin(x)/20
20 * sin(90)/34.41 = sin(x)
35.54 is the third angle.
180 - 35.54 - 90 = 54.46. The angle with the question mark is 54.46. Do the other 2 problems the same way.
You are the new manager at Taco bell. A customer told you that they had to wait 13 minutes for their food.You approach your staff and they assure you this was unusual, and the customer was just being dramatic. To verify, you decide to conduct a study on average wait time for food and find an approximately normal distribution of results. The mean wait time was 7 minutes The standard deviation was 2 minutes.
Label the bell- shaped curve. (2 pts)
On an average day you serve 300 people, how many people would have to wait longer than 13 minutes? (1 pt)
Was the customer’s wait time of 13 minutes unusual? Justify your answer with a complete sentence. (1 pt)
I need help asap pls
Answer:
d? Kerana ianya tidak sama kaki
What is the area of the parallelogram?
Answer:
24cm
Step-by-step explanation:
because 6 x 4 = 24 centimeters
the perimeter of a square is 52cm
We know that:
Perimeter: 52cm4(side) = 52cmTo find the side, we will need to divide 52 by 4.
=> 4(side) = 52cm=> Side = 52 ÷ 4=> Side = 13cmTherefore, the side of the square with 52 cm of perimeter is 13 cm.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
1/7 of the pupils in a class like dark chocolate. 1/2 of the pupils like milk chocolate and the rest prefer white chocolate. what fraction of the class prefers white chocolate
2. Find two equivalent ratios of the following ratios: a) 27 : 9 b) 7 : 35
Answer:
see explanation
Step-by-step explanation:
Equivalent ratios are found by multiplying or dividing the parts of the ratio by the same value.
27 : 9 ( divide both parts by 9 )
= 3 : 1
(b)
7 : 35 ( divide both parts by 7 )
= 1 : 5
PLZ HELPPP
Use the distributive property to fill in the blanks below.
Answer:
4 - 3
Step-by-step explanation:
fill in the blanks with the numbers you have left. you dont need the 5 since its already there :D
BRO SOMEONE PLSS HELP ME
Write the inequality that represents the possible values for x
Answer:
6x + 12 < 10
Step-by-step explanation:
The side 10 is greater than 6x+12