Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 57 and 65? Round your
answer to the nearest tenth of a percent.
A.66.8%
B.67.8%
C.69.8%
D.68.8%

Answers

Answer 1

Answer:

0.66772

Step-by-step explanation:

Given that :

Mean (m) = 62

Standard deviation (s) = 4

probability that a data value is between 57 and 65

P(57 < x < 65)

Using the relation :

(x - m) / s

P(x < 57) :

(57 - 62) / 4 = - 1.25

P(Z < - 1.25) = 0.10565 ( Z probability calculator)

P(x < 65) :

(65 - 62) / 4 = 0.75

P(Z < 0.75) = 0.77337 (Z probability calculator)

P(Z < 0.75) - P(Z < - 1.25)

0.77337 - 0.10565 = 0.66772

Answer 2

Answer:

66.8%

Step-by-step explanation:

Just took the test


Related Questions

Aaliyah is working two summer jobs, making $7 per hour walking dogs and making $10 per hour tutoring. In a given week, she can work no more than 17 total hours and must earn no less than $140. Also, she must work at least 2 hours walking dogs and at most 13 hours tutoring. If xx represents the number of hours walking dogs and yy represents the number of hours tutoring, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

140 >/ 7x + 10y (read as 140 is greater than or equal to 7x plus 10y)

x + y /< 17 - to represent the number of hours she can work

she will work at least 10 hours walking dogs and at least 7 tutoring

Step-by-step explanation:

Please can someone help me please
It is attached

Answers

the answer is 1! I hope this is right
Simplify the expression

(y+1)^3

Using , (a+b)^3=a^3a^2b+3ab^2+b^3expand the expression

y^3+3y^2+3y+1=
Answer

which number line correctly graphs the numbers in the list?​

Answers

Answer:

the first option

Step-by-step explanation:

What is long division answer to 6 divided by 92

Answers

The answer is 0.065217391304348

Someone help me with this, please! i’ll mark u as brainlist

Answers

Answer:

x = 8

Step-by-step explanation:

2x + 5 = 21

      -5    -5

      2x = 16

     2x/2 = 16/2 ( divided 2 on both sides)

     you get x= 8

to check your work, replace x with 8 in the equation

                            2 x 8 + 5 = 21    ( don't forget PEMDAS!!)

                               16 + 5 = 21  

Simplify expression (distributive property) 11(9+d) if correct I'll mark brainliest!

Answers

11 x 9 is 99 so then you do 11 x d and that’s 11d so it would be 99+11d :)

Answer After Distributing: 99 + 11d

Work: You multiply 9 and d by 11, and you get 99 + 11d.

I hope this helps, and Happy Holidays! :)

it took James 1 3/4hrs to
travel a distance of 126
in his car. Calculate his speed​

Answers

Answer:

Assuming that 126 is expressed in miles (mi), the answer is 72 miles per hour.

Step-by-step explanation:

Speed is calculated using the following formula: distance/time.

Knowing that he travels 126 miles in 1 hour and 45 minutes, we obtain 126 miles divided by 1.75 = 72 mph.

Round 48.47 to the ones place

Answers

Answer:

48.7 I think

Step-by-step explanation:

hears the sender buddy

Answer:

48.5 the 7 is close to 10 so it rounds the 4 to 5

Find the value of the expression. 12 - (-13) + (-1)

Answers

Answer:

24

Step-by-step explanation:

Answer:

The value is equvilant to 24

12−(−13)−1

=24

The problem was already simplified-

Oh and try using this website called math papa its an algebra calculator it really helps and it even shows you the step by step process!

Barney has a swimming pool in his backyard. Calculate the volume of the swimming pool. Round your answer to the nearest whole number.
cubic feet

Answers

Answer: 1593 us gallons

Step-by-step explanation: HOPE THIS HELPS!!

F(6) if f(x) = 4x
a 10
b. 24
c. 20
d: 30

Answers

Answer:

b. 24

Step-by-step explanation:

Hope this is right!

Write the equation for the graph below. Points (-5,1) (-4,2) (-1,3)

Answers

Answer:

Concept: Derivation of Equations

Let us find the parent graph We can tell that the equation of the parent graph is [tex] \sqrt{x} [/tex]Hence we perform a transformation moving five units to the left and one unit upSo out result equation is [tex] \sqrt{x + 5} + 1[/tex]General note, if you move to the left its positive, if you move to the right its negative.If you move upwards its positive and downwards its negative.Give brainlist

∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x + 10 ) ∘ ∠A=(2x+10) ∘ and m ∠ B = ( 3 x + 15 ) ∘ ∠B=(3x+15) ∘ , then find the measure of ∠ B ∠B

Answers

Answer:

you are in my class I need this too

which of the following does the extrema represent
A. A turning point of the function

B. The minimum value of a function

C. Either a maximum or a minimum value of a function

D. The maximum value of a function​

Answers

Answer:

A

Step-by-step explanation:

Multiply (6.5 x 10)(1 x 10). Express the result in scientific notation.

Answers

Answer:

ans=6.5×10²

Step-by-step explanation:

ans =650=6.5×10²

Estimate the coordinates of the point where the two lines meet.


Choose two equations that make up the system represented by the graph.

y=54x

y=6−2.5x

y=2.5x+6

y=6−3x

y=0.8x

Answers

Answer:
y = 6 - 2.5x
y = 0.8x

A worker at a snack stand opened a new box of cups. On the first day, the worker used 30 cups from the box. On the second day, the worker used 15% of the remaining cups in the box. A total of 90 cups were used on the second day. What was the original number of cups in the box before any cups were used?

Answers

Answer:

630 cups

Step-by-step explanation:

Percentages

This problem is most easily solved backward, i.e., from the final data up to the beginning.

There was a new box of cups and the worker at a snack stand opened it. He first used 30 cups from the box and the second day he uses 15% of the remaining cups in the box, and we are told that represents 90 cups.

If 15% (0.15) equals 90 cups, then the number of cups before the second day was 90/0.15 = 600 cups.

On the first day, we used 30 cups, thus the original number of cups in the box was 600+30=630 cups

How many solutions does this equation have?
-3n = -4n + 7

Answers

Answer:

just one: 7 you isolate the numbers by doing -3n + 4n = 7, and u get n = 7

Answer:

2

Step-by-step explanation:

my soulstinos were Solution 1)

3

n

+

7

=

1

3

n

+

7

7

=

1

7

3

n

+

0

=

8

3

n

=

8

3

n

3

=

8

3

3

n

3

=

8

3

n

=

8

3

Solution 2)

3

n

+

7

=

1

3

n

+

7

7

=

1

7

3

n

+

0

=

6

3

n

=

6

3

n

3

=

6

3

3

n

3

=

2

n

=

2

The solution is:

n

=

8

3

and

n

=

2

A cylindrical soup can has a radius of 8.4 cm and a height of 13.2 cm. What is the volume of the soup can to the nearest tenth of a cubic centimeter?
A= 110.9 cm3
B= 348.3 cm3
C= 673.8 cm3
D= 2926.1 cm3

Answers

Answer:

D. 2926.1 cm3

Step-by-step explanation:

To calculate volume of a cylinder, you need to use the equation V = pi r² h, where r is radius and h is height.

you have the right numbers to plug in, so pi times 8.4² times 13.2, which gives you 2926.05 which you round up to 2926.1 cm³

Solve the inequality.

p + 14 ≥ 2

Answers

Answer:

p [tex]\geq[/tex] -12

Step-by-step explanation:

Subtract 14

p [tex]\geq[/tex] -12

The solution to the inequality from the information given is p ≥ -12

What is inequality?

Inequality shows the relationship between two expressions and this relationship is identified by using the inequality signs (<, >, ≤, ≥).

The solution to the inequality p + 14 ≥ 2 can be determined by having the variables on one side and the numbers on the other side. To do that:

Let us subtract 14 from both sides of the equation we have:

p + 14 - 14 ≥ 2 - 14

p ≥ -12

Learn more about inequality here:

https://brainly.com/question/24372553

#SPJ2

14. If P(A) = 0.4 and P(B) = 0.5 and P(A and B) = 0.2, then P(B|A) =
a. 0.80. b. 0.50. c. 0.10 d. 0.40. e. none of the above.
15. If P(A) = 0.4 and P(B) = 0.5 and P(A and B) = 0.2, then P(A or B) =
a. 0.7. %3D %3D b. 0.9 c. 1.1. d. 0.2. e. none of the above.

Answers

Answer:

14) b)  P(B/A) = 0.50

15) P(A or B) = 0.7

Step-by-step explanation:

14)

Given P(A) = 0.4 and P(B) = 0.5 and P(A and B) = 0.2

Conditional probability of B given that A

[tex]P(\frac{B}{A} ) = \frac{P(AnB)}{P(A)} = \frac{0.2}{0.4} = 0.50[/tex]

15)

By using Addition theorem on probability

P( A ∪ B) = P(A) + P(B) - P(A∩B)

               = 0.4 +0.5 - 0.2

P( A ∪ B) =0.7

Read Question On PNG Picture

Answers

Answer:

10 1/2

Step-by-step explanation:

Six more than the product of seven and a number is 55.
Which equation and solution correctly represent this sentence?
07 +6 = 55; x = 7
o 7x+6 = 55; x = 49
O + 6 = 55; x = 7
7
Х
+ 6 = 55: x= 49

Answers

Answer:

7x + 6 = 55; x=7

Step-by-step explanation:

"six more than" -> +6

"product of seven and a number" -> 7x

7x + 6 = 55

7x = 55 - 6

7x = 49

x=7

Answer:

6+7x=55, x=7

Step-by-step explanation:

7x=55-6

7x=49

x=7

Which function has a graph with a positive y-intercept?
A. I and III only
B. I only
C. II, and III
D. III only

Answers

Answer:are you taking AP calculus AB

Step-by-step explanation:

Answer:

A l and lll

my teacher helped me

there are 7209 students at a amusement park. to the nearest thousands, how many students are in the park

Answers

Step-by-step explanation:

In ordee to round the number 7209 to the nearest thousands, we take a look at the digit in the hundreds place (which is 2).

Since 2 < 5, we round the number itself down to the nearest thousands:

7209 => 7000.

Hence our rounded number is 7000.

Answer:

7000

Step-by-step explanation:

The thousandths place in 7209 is less than 5, the number will change to 7000.

Can someone help please

Answers

Answer:sorry i cant

Step-by-step explanation:

Which of the following is the equation in slope-intercept form for the line that passes through the points (-2, 4) and (2.0) ?
O y = x + 2
O y = x-2
O y = -x + 2

Answers

Answer:

y = -x + 2

Step-by-step explanation:

Find the slope with rise over run:

(y2 - y1) / (x2 - x1)

(0 - 4) / (2 + 2)

-4 / 4

= -1

Find the y intercept by plugging in the slope and a point:

y = mx + b

4 = -1(-2) + b

4 = 2 + b

2 = b

Plug in the slope and y intercept:

y = -x + 2

So, the correct answer is y = -x + 2

Solve the equation for x. 10x= 120​

Answers

Answer:

x = 12

Step-by-step explanation:

10x = 120                 original equation

10x/10 = 120/10       divide both sides by 10

x = 12                       simplify

Check work:

10(12) = 120

120 = 120 (true)

Answer:

x = 12

Check:

------------

10x = 120

------------

10 x x (ten times x) = 120

10 x 12 = 120

OR

10^x = 120

10^12 = 120

x = 12

What is the vertex of the following: y=1/4x^2+2x+6

Answers

Answer:

Yea i definitly just lost brain cells

Step-by-step explanation:

Find the unit rate. Round the nearest hundredth if necessary.
$420 for 15 tickets.
A. $28 per ticket
B. $0.04 per ticket
C. $405 per ticket
D. $840 per 30 tickets

Answers

Answer:

28 dollars per ticket

Step-by-step explanation:

just divide 420 by 15 to get 28

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