The ages of customers at a store are normally distributed with a mean of 45 years and a standard deviation of 13.8 years.
(a) What is the z-score for a customer that just turned 25 years old? Round to the nearest hundredth.
(b) Give an example of a customer age with a corresponding z-score greater than 2. Justify your answer.
Best answer gets brainliest!

Answers

Answer 1

The Standard Normal distribution follows a normal distribution and has mean 0 and ... z = s. Example. Find the z-score corresponding to a raw score of 132 from a ... be less than a given value, greater than a given value, or in between two values. ... P(z < 2.37). Solution. We use the table.


Related Questions

Can someone please help! I'll do anything you want!

Can the sides of a triangle have lengths 3, 7, and 13?
Yes or No

Answers

Answer:

No

Step-by-step explanation:

Since the hypotenuse is 13, the 2 legs' sum HAVE to be GREATER than the hypotenuse or else it is not a triangle.

"A triangle is valid if sum of its two sides is greater than the third side."

A car wash charges customers $6 per wash. It costs the car wash company $2 per wash for materials and a base cost of $80. How many car washes are necessary for the car company to make $60 in profit?

Answers

Answer:

35 Car Washes  

Step-by-step explanation:

Data:-

Sale Charges per wash = $6/-

Cost per wash = $2/-

Base cost = $80/-

Required Profit = $60/-

Required:-

No of Cash Washes to reach the required profit = ?

Solution:-

Sales - VC = Contribution Margin

$6 - $2 = $4 per unit

Required Sales in Unit = Fixed Cost + Target Profit / Contribution margin per unit

= $80 + $60 / $4

= 35 Units  

An adult gorilla will eat about 5,425 pounds of food in a 31-day month. What is the average amount a gorilla will eat every day?

Answers

Answer: 175

Step-by-step explanation: Do 5425 divided by 31

Answer:

A gorilla will eat an average of 175 pounds of food a day.

Step-by-step explanation:

The gorilla will eat 5,425 pounds a day per month. According to your 31-day month, to find the amount the gorilla will eat per day, we need to divide his monthly consumptions by 31.

5425/31 = 175.

Averigua si el triángulo de los lados 29 cm, 35 cm, y 48 cm es rectángulo, acutángulo u obtusángulo. Halla la longitud de la altura sobre el lado mayor

Answers

Answer:

Los ángulos son de 36, 47 y 97 grados y la altura es de 35 cm.

Step-by-step explanation:

Usando la regla del coseno podemos encontrar las medidas de los ángulos del triángulo escaleno

Cos A = b² + c²-a² / 2bc ------ ecuación A

Cos B = a² + c²-b² / 2ac ------- ecuación B

y Cos C = b² + a²-c² / 2ab ------ ecuación C

Si tomamos a = 29, b = 35 y c = 48

Luego, poniendo los valores

Cos A = b² + c²-a² / 2bc

Cos A = (35) ² + (48) ² - (29) ² / 2 (35) (48)

Cos A = 1225 + 2304-841 / 3360

Cos A = 0,8

A = cos ⁻¹ 0.8 = 36.86 grados casi 37 grados.

similar

Cos B = a² + c²-b² / 2ac

Cos B = (29) ² + (48) ²- (35) ² / 2 (29) (48)

Cos B = 1920/2784

B = cos ⁻¹ 0.689 = 46.39 grados casi 46 grados

Y

Cos C = b² + a²-c² / 2ab

Porque C = 1225 + 841-2304 / 2 * 29 * 35

Cos C = -0,11724

C = cos ⁻¹ -0,11724

C = 96,73 = 97 grados

la altura se puede calcular usando la fórmula

h = b. sin C = c. Pecado B

h = 35 sin 97 °

h = 34,75 = 35 cm

English

Using the cosine rule we can find the measures of the angles of the scalene triangle

Cos A= b²+c²-a²/ 2bc------ equation A

Cos B = a²+c²-b²/ 2ac------- equation B

and Cos C= b²+a²-c²/ 2ab------ equation C

If we take a= 29 , b= 35 and c= 48

Then by putting the values

Cos A= b²+c²-a²/ 2bc

Cos A= (35)² + (48)² - (29)²/ 2(35) (48)

Cos A= 1225+2304-841/ 3360

Cos A= 0.8

A = cos ⁻¹ 0.8= 36.86 degrees almost 37 degrees.

Similarly

Cos B = a²+c²-b²/ 2ac

Cos B = (29)²+(48)²-(35)²/ 2(29) (48)

Cos B=  1920/2784

B=cos ⁻¹ 0.689= 46.39 degrees almost 46 degrees

And

Cos C= b²+a²-c²/ 2ab

Cos C= 1225+841-2304/2*29*35

Cos C= -0.11724

C= cos ⁻¹ -0.11724

C= 96.73= 97 degrees

the height can be calculated using the formula

h= b. sin C= c. Sin B

h= 35 sin 97°

h= 34.75= 35 cm

The angles are 36, 47 and 97 degrees and height is 35 cm

What is the volume of a hemisphere with a radius of 9.7 cm, rounded to the nearest tenth of a cubic centimeter?

Answers

Answer:

1911.5 cm^3

Step-by-step explanation:

Answer:

The volume of the hemisphere is approximately 1911.5 cubic centimeters.

Step-by-step explanation:

The volume of a hemisphere ([tex]V[/tex]), in cubic centimeters, is equivalent to the half of the volume of a sphere, that is:

[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex] (1)

Where [tex]R[/tex] is the radius of the hemisphere, in centimeters.

If we know that [tex]R = 9.7\,cm[/tex], then the volume of the hemisphere is:

[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex]

[tex]V = \frac{2\pi}{3}\cdot (9.7\,cm)^{3}[/tex]

[tex]V \approx 1911.498\,cm^{3}[/tex]

The volume of the hemisphere is approximately 1911.5 cubic centimeters.

Tommy rides his bike 27 miles in 3 hours. If he rides at a constant speed, select the answer below that is equivalent ratio to the speed he rides. pls help ASAP

Answers

9:1. 9 miles in 1 hour.
First guy is correct 9:1 ratio :)

if a/b=2 what would 4b/a be

Answers

Answer:

2 i think

Step-by-step explanation:

if a/b is 2 then it means a/b is equivalent to  2/1 so the value of a would be 2 and the value of b would be 1 so then for 4b/a we would plug in the values giving us 4(1)/2 which gives us a final answer of 2

Answer:

2

Step-by-step explanation:

We can assume a = 2 and b = 1 since that is the smallest values that will equal 2.

add these values into the equation

4(1)/2

4/2

2

Help please ! I'm soo confused

Answers

Answer:

(1/7)^(-1)<(1/7)^(-2)

7(-1)<(1/7)^(-1)

7^-2<7^-1

Step-by-step explanation:

U can look at the negative exponent that negative sign as the divide sign over 1

7^(-1)means 1/7

7^(-2) means 1/7^(2)=1/49

(1/7)^(-1)=7

(1/7)^(-2)=49

Question 23 of 25 What is the probability of flipping a coin 85 times and getting tails 30 times or fewer? Round your answer to the nearest tenth of a percent. A. 99.8% B. 33.2% C. 0.4% D. 95.9%​

Answers

Answer:

I think its B

Step-by-step explanation:

I need help I will give brainliest I promise

Answers

Answer:

1/4 is the answer

Step-by-step explanation:

First, we see that the total students is 20 & the students who got 6 or 7 is 5.

5/20 = 1/4

1/4 = 25%

Rual saved $80 for his new bike. This represents 40% of the entire cost of the bike. what is the total cost of Raul's new bike?

Answers

Answer:

The total cost of Raul's 32%

Monique begins a running program to train for a marathon. She starts by running 1 mile the first week and tripling the number of miles each week. The number of miles Monique will run can be modeled by the sequence An=1(3)n−1, where n is the number of weeks since she began her program. Use the drop-down menus below to complete the statements about the miles Monique runs weekly.

Answers

Answer: 1st one is geometric I think not fully sure but the second is 3 times

Step-by-step explanation: I was doing it

Answer:

geometric, 3 times

Step-by-step explanation:

imagine math

Which of the following expressions will find the sum interior angles of a polygon with 14 sides?

A.) 14(180)-2
B.) 180(14-2)
C.) 180(14)-180
D.) 180(14)

Answers

Answer:

B.

Step-by-step explanation:

The expression that represents the sum of the interior angles of a polygon with 14 sides is: B. 180(14 - 2).

What is the Sum of the Interior Angles of a Polygon?

The formula for the sum of the interior angles of a polygon is given as, 180(n - 2), where n is the number of sides of the polygon.

For a 14-sided polygon, the sum of the interior angles would be:

180(14 - 2).

Learn more about sum of inetrior angles of a polygon on:

https://brainly.com/question/24966296

#SPJ2

Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balance be when he checks it? I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link.
a.723.29
b. 1,394.00
c. $1,573.29
d. $68.00

Answers

Answer:

solution given:

principal [P]=$850

time[T]=8years

rate[R]=8%

now

simple interest [S.I.]=[tex] \frac{P×T×R}{100}[/tex] =$ [tex] \frac{850×8×8}{100}[/tex] =$544

so

Total balance=S.I.+P=$544+$850=$1394.

option b.$1,394.00 is your answer

If you multiply 2 xr you will get the ....?

Answers

Explanatio⁣n i⁣s i⁣n a fil⁣e

bit.[tex]^{}[/tex]ly/3a8Nt8n

thisss plss LOL again> (no link) if u do die.

Answers

Add a+b+c=p for the triangle.

24+26+10=60, Then add this to the semi-circles perimeter.

p=r(pi+2)

r=d/2

p=13(3.14+2)

p=13(5.14)

p=66.82

Add 66.82+60

66.82+60=126.82

Answer: 126.82

How many cm are in 26 in? (1 in = 2.54 cm)​

Answers

Answer:

66.04

Step-by-step explanation:

26 x 2.54 =

= 66.04

Answer:

66.04 cm

Step-by-step explanation:

All you need to do is multiply 2.54 cm twenty-six times for your answer.

     2  .  5      4

2║40║10 ║0.8  ║→ 50.8

6║ 12║ 3 ║0.24║→ 15.24

50.8 + 15.24 = 66.04

8. Find the area of the triangle. (1 point) 16 ft 62 ft Not drawn to scale. ​

Answers

Answer:

Hello! Answer: 496

Step-by-step explanation:

When finding area for triangles we have to do base x height then divide by 2 so

62 x 16 = 992

992 ÷ 2 = 496

So 496 is our answer!

Answer:

A - 496

Step-by-step explanation:

formula for area of a triangle

[tex]a = \frac{bh}{2} [/tex]

where b = base length and h = height

The triangle shown has a base length of 62 ft and a height of 16 ft

That being said we plug in the given values into the formula

[tex]a = \frac{62 \times 16}{2} \\ 62 \times 16 = 992 \\ \frac{992}{2} = 496[/tex]

Hence the area of the triangle is 496 square feet

What do rhombuses always have

Answers

Answer:

A, B, and D

Step-by-step explanation:

Find the angle measures.

Answers

A straight line = two linear pairs
They form supplementary angles
(Add up to 180 degrees)

5x + x + 12 = 180
6x + 12 = 180
6x = 168, x = 28
m<1 = 5(28) = 140 degrees
m<2 = 28 + 12 = 40 degrees

Solution: m<1 = 140 degrees
m<2 = 40 degrees

what is 10 +10+10+10 +20'

Answers

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Can someone help me with this problem please!! i’ll give brainliest!

Answers

Answer:

its b i think dont trust though

Step-by-step explanation:

This diagram shows

Parallel Lines
Perpendicular Lines
Supplementary Angles
Complementary Angles

Answers

supplementary angles
Explanation: supplementary angles are angles that add up to 180 degrees and as these two angles are on a straight line and straight lines are always 180 degrees
hope that helps if u have any questions let me know and i would rly appreciate if u could mark this as brainliest !!

What is the radius when the circumference is 314

Answers

Answer:

Radius is 50 cm.

Step-by-step explanation:

Prism A has a volume of 60 cubic units and a height of 12 units. Prism B has the same base area and height but a length of 15 units for the longest edge

Answers

Answer:

As both prism have the same base area and height there volumes are the same.

Step-by-step explanation:

Volume of the prism is given by

Volume of Prism A= base area* height

60 cubic units= base area* 12

base area= 60/12= 5 units

Volume of Prism B= base area* height

                              = 5 units*12 units

                             = 60 cubic units

As both prism have the same base area and height there volumes are the same.

The length of the longer side is the length of the triangle itself.

For example the length of longer side of prism A maybe 10 units but width may be 1/2 units

and

the length of longer side of prism B maybe 15 units but width may be 1/3 units

the total base area remains the same.

Answer:60 cubic units

Step-by-step explanation:

Can someone please. help Ill give branliesttttt

Answers

Answer:

3rd one!

Step-by-step explanation:

I think it’s B but I am not sure sorry dude

someone please explain to me how this is done please​

Answers

Answer:

10√6 ; √5/6 ; 42√14

Step-by-step explanation:

1)  - factorise 240

240/ 2 = 120

120/2 = 60

60/2 = 30

30/2 = 15

15/3 = 5

5/5 = 1

240 = 2^4 * 3 * 5

- simplify [tex]\sqrt{2^4 * 5 * 3}[/tex]. We can in particular simplify [tex]\sqrt{2^4}[/tex]  by dividing the index of the radius and the exponent by 2

[tex]2^2\sqrt{5*3} = 4\sqrt{15}[/tex]

- factorise 12

12/2 =.6

6/2 = 3

3/3 = 1

12 = 2^2 * 3

- simplify [tex]\sqrt{2^2 *3}[/tex]

[tex]\sqrt{2^2 * 3} = 2\sqrt{3}[/tex]

- divide [tex]4\sqrt{15} with 2\sqrt{3}[/tex]

number : number = 4/2 = 2

square : square = √15 / √3 = √5

[tex]2\sqrt{5}[/tex]

- multiply √30 with 2√5

number x number = 2x1 = 2

square x square = √30 x √5 = √150

2√150

- factorize 150

150/ 2 = 75

75/3 = 25

25/5 = 5

5/5 = 1

150 = 5^2 x 2 x 3

- simplify [tex]\sqrt{5^2 * 2 * 3}[/tex]

[tex]\sqrt{5^2 * 2 * 3} = 5\sqrt{6}[/tex]

- multiply 2 and 5

10√6

2)  remember that a division of two terms with the same square can be rewrite as [tex]\sqrt{x/y} = \sqrt{x} / \sqrt{y}[/tex]

- rewrite the expression in this way

[tex]\sqrt{5} / \sqrt{9} + \sqrt{5} / \sqrt{144} - \sqrt{5} / \sqrt{16}[/tex]

- solve the squares of the denominators

√5/3 + √5/12 -√5/4

- rewrite the fraction with the same denominator = 12

(4√5 + √5 - 3√5)/12

- simplify the numerators by sum the numbers

2√5/12

- divide 2 and 12

√5/6

3)

- multiply 3√2 and √14

number x number = 3 x 1 = 3

square x square = √2 x √14  = √28

3√28

- factorise 28

28 = 2^2 x 7

- simplify [tex]\sqrt{2^2 *7}[/tex]

[tex]\sqrt{2^2 *7} = 2\sqrt{7}[/tex]

- multiply 3 and 2

6√7

- factorise 98

98/2 = 49

49/7 = 7

7/7 = 1

98 = 7^2 * 2

- simplify [tex]\sqrt{7^2 * 2}[/tex]

[tex]\sqrt{7^2 * 2} = 7\sqrt{2}[/tex]

- multiply 6√7 and 7√2

number x number = 42

square x square = √14

42√14

Math Journal Cameron buys 4 notebooks and 2 packages of pens for $16.
Olivia buys 5 notebooks and 1 package of pens for $14.75. Write and solve
a system of equations to find the price of each notebook and the price of
each package of pens. Tell what each variable represents and what each
equation represents.
(No links please)

Answers

Answer: A notebook cost $2.25

A pen cost $3.50

Step-by-step explanation:

Let the price of notebook be n

Let the price of pens be p.

Cameron buys 4 notebooks and 2 packages of pens for $16. This will be:

4n + 2p = 16 ..... equation i

Olivia buys 5 notebooks and 1 package of pens for $14.75. This will be:

5n + p = 14.75 ..... equation ii

Combining both equations will give us:

4n + 2p = 16 ..... i

5n + p = 14.75 ...... ii

Multiply equation i by 1

Multiply equation ii by 2

4n + 2p = 16 ....... iii

10n + 2p = 29.50 ...... iv

Subtract equation iii from iv

6n = 13.50

n = 13.50/6

n = 2.25

A notebook cost $2.25

Since 4n + 2p = 16 from equation I

4n + 2p = 16

4(2.25) + 2p = 16

9 + 2p = 16

2p = 16 - 9

2p = 7

p = 7/2

p = 3.5

A pen cost $3.50

The number of calories burned while jogging varies directly with the number of minutes spent jogging. If george burns 150 calories by jogging for 20 minutes, how many calories does he burn by jogging for 30 minutes

Answers

He will burn 225 calories. if you divide 150/20 it will equal 7.5 then multiply 7.5 by 30 and you’ll get 225

Shannon participated in a national math contest by taking a math test. The test results followed a normal distribution with a mean score of 72.6 points out of 100 and a standard deviation of 8.7. Shannon received a score of 81 points. Shannon thinks she performed better than 68% of the students in the contest
Shannon is incorrect because her score of 81 is...
a. approximately −2 standard deviations from the mean
b. approximately −1 standard deviations from the mean
c. approximately 1 standard deviations from the mean
d. approximately 2 standard deviations from the mean

Answers

I think the answer is C
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