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.

Answers

Answer 1

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.

For more details on z score follow the link:

https://brainly.com/question/13299273

 

Answer 2

Answer:

B

Step-by-step explanation:

Correcct on edge22


Related Questions

Katie buys a large pizza for $14.99 and bottles of soda for $1.50 each. If the total cost was $23.99, how many bottles of soda (b) did she buy

Answers

The number of soda bottles Katie bought is 6

The given parameters are:

Large Pizza = $14.99Soda = $1.50 per bottleTotal cost = $23.99

Assume the number of soda bottle is x.

So, we have:

[tex]Total = Pizza + Soda \times x[/tex]

This gives

[tex]23.99 = 14.99 + 1.50\times x[/tex]

Subtract 14.99 from both sides of the equations

[tex]9 = 1.50\times x[/tex]

Divide both sides of the equations by 1.5

[tex]6=x[/tex]

Rewrite the equation as

[tex]x = 6[/tex]

Hence, the number of bottles is 6

Read more about linear equations at:

https://brainly.com/question/14323743

I will give brainiest to the best answer.
what is half of the square root of 72?
Plz answer in square root form. Thank you

Answers

Answer:

3sqrt(2)

Step-by-step explanation:

72=6^2 x 2 so sqrt(72)=6sqrt(2)

divide by 2 to get 3sqrt(2)

Answer:

[tex]answer \: is \: = \: \sqrt[6]{2} [/tex]

[tex]to \: know \: the \: answer \: with \: proof[/tex]

[tex]refer \: to \: the \: above \: attatchmet \: [/tex]

Hope this helps you !!

Blair worked for 4 2/5 hours and earned $36.30. How much would she earn if she worked for 5 4/5 hours? Enter your answer in the box.

PLEASE HELP ASAPPPPP!!! I WILL GIVE BRAINLIEST AND 50 POINTS!!!

Answers

Answer:

$47.85

Step-by-step explanation:

4 2/5 in decimal form is 4.4

Using the equation hrs/money=x, 36.30/4.4=8.25

So, she gets $8.25 per hour

Then, 5 4/5 in decimal form is 5.8

So, 5.8*8.25=47.85

She gets $47.85 for working 5 4/5 hours

Answer:$47.85

Step-by-step explanation:

Help!!!!!!!!!!

PLEASE!

Answers

Answer:

B

Step-by-step explanation:

The Government Soldiers didn't knew that they were Americans

Answer:

B) the government soldiers did not know the climbers were Americans when they started shooting at them.

Step-by-step explanation:

the other answers don't make sense.

There was no mention of A) a message C) not knowing how to communicate

D) trying to warn about the rebels.

By context clues, we can infer that when it was revealed that they were Americans, they realized they were on the same side and began to help them and stopped shooting at them.

A medication with an initial concentration of 1. 5 milligrams per liter is administered to a
patient, and the decay rate of the drug is 10% per hour. Which equation can be used to model
the concentration, C, of the drug in the patient’s body as a function of time, t, in hours since the
drug was administered?

Answers

Answer: Exponential decay model:

y

=

x

(

1

r

)

t

, half life of tablet is about

2

hours and after

t

=

3

hours , remaining drug on patient's system is

42.875

mg.

Step-by-step explanation: Initial drug

x

=

125

mg ; rate of decay

r

=

30

100

=

0.3

gm/hour

Exponential model:

y

=

x

(

1

r

)

t

=

125

(

1

0.3

)

t

=

125

0.7

t

Half life:

y

=

125

2

=

62.5

mg

62.5

=

125

0.7

t

or

0.7

t

=

1

2

. Taking logarithm on both sides we get ,

t

log

(

0.7

)

=

log

(

0.5

)

t

=

log

(

0.5

)

log

(

0.7

)

1.94

(

2

d

p

)

hour

The half life of tablet is about

2

hours.

After

t

=

3

hours , remaining drug on patient's system is

y

=

125

0.7

t

=

125

0.7

3

=

42.875

mg [Ans]

Which three points are collinear?

Answers

Answer:

ABC

Step-by-step explanation:

Colinear means on the same line, and you can tell ABC are all on the line in the middle of the parallelogram. Another way to do this if you don't know what colinear means is to look for the similarities between the points. The only similarity between any of the points is that three are on the same line, meaning they must be colinear and have the right answer.

Please consider a brainliest! Thank you!

Please help with the steps to get the answer. Thank you.
15^(4x-8 )= 1

Answers

[tex]15^{4x-8} =1\\\\\implies 15^{4x-8} = 15^0\\\\\implies 4x -8 = 0\\\\\implies 4x = 8\\\\\implies x = \dfrac 84\\\\\implies x =2[/tex]

Sophia wants to buy a digital camera for $145.40. She has $ 37.90 and is saving $ 2.50 each week. In how many weeks will she have enough money saved to purchase the camera?

Answers

Answer:

43 weeks

Step-by-step explanation:

145.40 - 37.90 = 107.5

107.5/2.50 = 43

What is the difference between log(x/y) and log(x)/log(y)?

Answers

Log(x/y)= x/y times log, log(x)/log(y)= log times x/log times y

simplify √20 x √5

10
4√5
√10

Answers

10
20*5=100
Root of 100 is 10

Helpp real quick GIVING CROWNN!!

Answers

Answer:

2g+60>92

Step-by-step explanation:

what is parallelogram?

Answers

Answer:

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.

Step-by-step explanation:

20x+10x-8=0 solution set of equation

Answers

1. Combine like terms (30x -8 =0)
2. Isolate the variable (30x =8)
3. Divide both sides by the coefficient (x= 8/30)
4. Simplify (x= 4/15)

Answer:

0.2666666666

Step-by-step explanation:

20x+10x-8=0

first of all, you will +8 on both sides so there are no negative numbers onany side

20x+10x=8

now gather everything up

30x=8

divide everything by 30 now to get the value of 1x

30x/30=x

8/30=0.2666666666

Using HL, are the two triangles congruent? What information would be used? Question 2 options: A) No, the triangles aren't congruent by HL. ∠H ≅ ∠M, ∠N ≅ ∠I, ∠L ≅ ∠J B) Yes, the triangles are congruent by HL. ∠H ≅ ∠M, ≅ C) Yes, the triangles are congruent by HL. ≅ , ≅ D) No, the triangles aren't congruent by HL. ∠N ≅ ∠I, ≅

Answers

Answer:

Yes, the triangles are congruent by HL. IJ≅ NM, LM≅HJ

Step-by-step explanation: I took the test

Answer:

Step-by-step explanation:

j

a wedding reception seats 8 people at each table The relationship is represented by the equation p=8t where p is the number of people at t is the number of tables 

Answers

Answer:

that means its 8 * 8 = 64

There are 64 ppl

Harriet and tom run and walk, respectively, a 12 mile course
they both want to finish the course together at the same time
tom sets off at 8:15
am and walks at a constant speed of 4 mph
Given that Harriet runs at a constant speed of 8 mph, at what time should she set off

Answers

Answer:

t = S / v      time = distance / speed

For Tom   t = 12 m / 4 mph = 3 hours to cover course

Tom will finish at 8:13 + 3 = 11:15

th = 12 m / 8mph = 1.5 hours to cover course

11:15 - 1.5 = 9:45       time Harriet should start to finish in 1.5 hours

Write the equation of the line, in slope-intercept form, with the
following information:
slope:
3
point: (6,-1)

Answers

Answer:

y=3x-19

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1)=3(x-6)

y+1=3(x-6)

y=3x-18-1

y=3x-19

13-n + 2n > 8 + 1 Solve the given inequality and graph and solution

Answers

because we are finding for the variable and not the coefficient we divide it by the number attached to the variable which is the coefficient to get the result of the variable

Sally has a rectangular garden that is surrounded by a 6ft-wide and 8ft-long fence. However, she wants to expand her garden so that it is twice as wide and twice as long. What is the new perimeter of her garden?

Answers

Based on the information given, it can be deduced that the perimeter of the garden will be 56 feet.

Since the rectangular garden is surrounded by a 6ft-wide and 8ft-long and Sally wants to double the dimensions, the new dimensions will be 12ft and 16ft.

Perimeter of a rectangle = 2(l + w)

Perimeter = 2(12 + 16)

Perimeter = 2(28)

Perimeter = 56 feet.

Learn more about perimeter on:

https://brainly.com/question/24382052

Find the quotient of 3,976 ÷ 28 = ________. Use the partial quotients strategy to help you.

Answers

Answer:

142

Step-by-step explanation:

Hope this helps

Sherry is making a snack mix for a school field trip.
HELP
The recipe shows the amount of each ingredient needed to make 6 bags.
3 cups granola
1 cup raisins
1.5 cups almonds
0.5 cup cranberries
0.75 cup chocolate chips
Complete each statement to adjust the ingredients for each new situation if Sherry uses this recipe.

To make 18 bags of snack mix, Sherry needs _ cups of almonds.

Sherry needs 6 cups of granola to make _ bags of the snack mix.

If Sherry uses 1 cup of cranberries, she will need to use _ cups of raisins.

The recipe will make _ bags of the snack mix if Sherry uses only 1 cup of granola.

Answers

Answer:

4.5 cups, 12 bags

Step-by-step explanation:

Each batch makes 6 bags, so if she makes 18 bags she needs 3 times as many cups of almonds, 1.5 x 3 = 4.5

If she uses 6 cups of granola she is using twice as much so she could make 12 bags.

move the numbers to the blanks to order them from least to greatest value.

0.1 -9/8 4 |-5/6| -0.78

Answers

Answer:

-9/8, -5/6 -0.78, 0.1, 4

Step-by-step explanation:

since they're negative, it makes them look bigger than others but they're not. I think I got it right. hope I could help!

4. Which table shows a constant rate of
change?
A
Hours
2
7
14
Earnings ($)
40
60
80
B.
Hours
2
7
14.
Earnings ($)
40
140
280
C
Hours
2
7
14
Earnings ($)
40
70
140

Answers

Answer:

A 16. B 20). C 40 ... 40' 60'| 80. 20 20 20. 2 7 14a. 40 140|| 280'|. BX Hours. Earnings ($).

Step-by-step explanation:

Question 17 of 25
Solve |3x + 3| = 21.
A. C= –6 and x = 8
B. X = 6 and x = -8
C. X= -6 and x=-8
D. X= 6 and x = -
-6

Answers

Answer:

D. 1.25. 30 31 - 35. Convert the answer into a mixed number by dividing ... 8.7 6 5. 4.235. Subtract the two numbers. B. 4.235. 14) V81. 8) 0.2 * 0.3 * 0.4.

Step-by-step explanation:

Please answer the following question
(d+m)A=2
A= ?

Answers

Answer:

A is equal to 3

please mark me as brianleast

(d+m)A=2
It can be rewritten as A(d+m)=2
The opposite of multiplying is division is divide (d+m) on both sides

A=2/(d+m)

86,400 seconds into day.please ​

Answers

[tex]\underline\mathtt\colorbox{gold}{1 day}[/tex]

Step-by-step explanation:

1440 minutes, 24 hours or 1 day

Its easy to check - - - Divide 86400 by 60(to make into minutes) =1440 minFurther. Divide 1440 by 60 (to make into hours) =24 hrsNow who doesn't know that 24 hours is 1 day?

pls help this a math question. image below

Answers

Answer:

D

Step-by-step explanation:

Same X, but different Y value, it is five apart in D

The answer is d your welcome

please Help NEED NOW

thank you so much

Answers

Divide the rise by the run

solve for x: 2-3(2x-2)=17​

Answers

Answer:

x = - 1.5

Step-by-step explanation:

2 - 3(2x - 2) = 17 ← distribute parenthesis

2 - 6x + 6 = 17 , simplify

8 - 6x = 17 ( subtract 8 from both sides )

- 6x = 9 ( divide both sides by - 6 )

x = [tex]\frac{9}{-6}[/tex] = - [tex]\frac{3}{2}[/tex] = - 1.5

A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y = mx + b.
Complete the table to determine the values of m and b.



Answers

Answer:

m = 2, b = 9

Step-by-step explanation:

Find m (the slope) by subtracting y1 - y2 (1 - 3 = -2) and x1 - x2 (-4 - -3 = -1). Put the y answer on top of the x answer and simplify. -2/-1 = 2 because the negatives cancel each other out.

Find b by substituting one of the coordinates into the problem.

y = mx + b

1 = 2(-4) + b

1 = -8 + b

9 = b

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