If the value of x for normal distribution is 35, the mean of normal distribution is 65 and the standard deviation is 25, then calculate the standardized random variable, and P(X < 35).

Answers

Answer 1

Answer:

[tex]Z=-1.2[/tex]

Step-by-step explanation:

From the question we are told that:

Normal distribution [tex]x=35[/tex]

Mean of normal distribution [tex]\=x=65[/tex]

Standard normal distribution deviation [tex]\sigma= 25[/tex]

Generally the equation for standardized value is mathematically given by

 [tex]Z=\frac{x-\=x}{\sigma}[/tex]

 [tex]Z=\frac{35-65}{25}[/tex]

 [tex]Z=\frac{35-65}{25}[/tex]

 [tex]Z=-1.2[/tex]

Therefore the standardized value of x is

 [tex]Z=-1.2[/tex]


Related Questions

What is the standard deviation for the data given:
{12, 13, 29, 18, 61, 35, 21}

Answers

Answer:

15.866

Step-by-step explanation:

you would first find the mean of the data set by adding all the numbers together and dividing by the number of data points given (7 in this case).

12+13+29+18+61+35+21 = 189189/7 = 27

you would then use the mean to solve for the standard deviation by using the equation, σ=√Σ(x-μ)²/N.

first, subtract the mean from all the data points

12-27=-15, 13-27=-14, 29-27=2, 18-27=-9, 61-27=34, 35-27=8, 21-27=-6

then, square each calculated value from above

-15²=225, -14²=196, 2²=4, 9²=81, 34²=1156, 8²=64, 6²=36

then, add the squared values together

225+196+4+81+1156+64+36 = 1762

you would then divide 1762 by 7 (number of data values given orginally)

1762/7 = 251.714

finally, take the square root of 251.714 to find the standard deviation

[tex]\sqrt{251.714} = 15.866[/tex]
Standard deviation is 17.1

Please help!!
What is the sum of the measures of the angles of a 25-gon?

4,140º

25º

360º

2,500º

Answers

Answer:

4140°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 25 , then

sum = 180° × 23 = 4140°

james lives 4/5 miles from the libary he has already walked 3/4 of the way. How far had james walked

Answers

Answer:

600M

Step-by-step explanation:

Convert miles to meters. Then convert the fractions. 1000M divided by 5 = 200. Now times by the numerator of the fraction, which is 4. This gives you 800. Now, 3/4 of 800 = 600. as you divide by the denominator, and times by the numerator. The answer is 600M, or 0.6 Miles.

Raja drove from A to B at an average speed of 50mph

The distance between A to B is 10 Miles

Raja took 30 minutes to drive from A to C

He drove from A to C at an average speed of 62mph

Work out Raja’s average speed as he drove from B to C

Answers

Answer:

44.7

Step-by-step explanation:

Speed = distance / time

speed from distance a to b = 50 = 10 / time

time = 10/50 = 12 minutes

Speed from a to c = 62 = distance / 30 minutes

distance = 62 x 0.5 = 31 m

diatance from b to c = 31 - 10 = 21

time = 30 - 12 = 28 minutes

speed = 21 / 28 minutes

31 / 0.47

Joey has $350 in his bank account. He pays $15.50 each month for 6 months. 6 months is done how much does joey have in his bank account?

Answers

Answer:

Joey has $257 dollars after 6 months.

Step-by-step explanation:

6*$15.50 = $93

$350 - $93 = $257

Have a nice day! :-)

Answer:

he has 257 in his bank account

Step-by-step explanation:

[tex]15.5 \times 6 = 93[/tex]

[tex]350 - 93 = 257[/tex]

Calculate the surface area?

Please help

Answers

Answer:

0.0846153846 when divided

Answer:

806 in^2

Step-by-step explanation:

we can start by breaking it up into two 11x13 sides and four 13x10 sides.

A=l*h

The first group of just two sides is 13*11 = 143, and for both sides 286 in^2

Then for the second group, 13*10 = 130, and for four sides, 520 in^2

We can add these values together for the total surface area, and we'll get 806 in^2 !

1.) What percent of $144 is $18?

A.) 10%

B.) 12.5%

B.) 15%

D.) 17.5%
V
E.) None of these choices are correct.

Answers

Answer:

the anwser is 12.5 i did this question on a test last week

Sin theta=x, 0degree

Answers

It’s x=0 isn’t it that answer

In circle Q with m \angle PQR= 58m∠PQR=58 and PQ=4PQ=4 units find area of sector PQR. Round to the nearest hundredth.

Answers

Answer:

8.1

Step-by-step explanation:

59/360(π4^2)

= 8.1


A 10 foot long fence post is placed in a hole that is 3 feet deep.
How much of the post is above ground?

Answers

Answer:

7 feet

Step-by-step explanation:

10 - 3 = 7

you deposit $900 in a savings account. The account earns 4% simple interest per year. What is the balance after 8 years? What is the interest earned after 8 years?

help please

Answers

$900+ $288( interest after 8 years)= $1, 188( total balance)

Which question is NOT a statistical question?
O A.
How many vehicles do Boston residents have per household?
B.
How much money do Boston residents spend on transportation every day?
OC.
How many Boston residents use public transportation?
OD.
How many times per month do Boston residents use public transportation?
O E.
How long does it take for Boston residents to travel to work?
Reset
Next

Answers

Answer:

C

Step-by-step explanation:

The answer is c because there is only one answer for the question.

Find the solution set of the following equation in simplest a +bi form.
x² - 6x +12 =-10x+3
Please help quick

Answers

Answer:

[tex]-2\pm i\sqrt{5}[/tex]

Step-by-step explanation:

[tex]x^2-6x+12=-10x+3\\x^2+4x+9=0[/tex]

For the quadratic formula, [tex]a=1,\,b=4,\,c=9[/tex].

[tex]\frac{-b \pm\sqrt{b^2-4ac}}{2a}=\frac{-4\pm\sqrt{16-4(1)(9)}}{2(1)}=\frac{-4\pm\sqrt{-20}}{2}\\=\frac{-4\pm 2\sqrt{-5}}{2}=-2\pm\sqrt{-5}=-2\pm i\sqrt{5}[/tex]

solve for y. y = 2x - 3

Answers

Answer:

..y d tu ideograma idiosincrasias

How do you write 6.69x10^-4 in standard form?

Answers

Answer:

https://www.calculators.tech/standard-form-calculator

go on MATH.WAY. it'll give you the answer and explanation

Step-by-step explanation:

Will Mark Brainliest!!!

Solve for L

m=ln+2/k

Answers

Answer:

L=KN-2/M

I got it right with this answer. Hope this helps.

hello please help i’ll give brainliest

Answers

Answer:

it is the second answer choice

Answer:   B

Step-by-step explanation:

interaction between two different organisms living in close physical association, typically to the advantage of both.  each termed a symbiont, must be of different species. can be defined as any kind of relationship or interaction between two dissimilar I guess.

sorry if im wrong

jeffrey owes his friend $5 how much is jeffteys debt?​

Answers

Answer:

$5

Step-by-step explanation:

Answer:

$5

Step-by-step explanation:

What is the % of
increase from 62 to
88? (Round to the
nearest tenth.)

Answers

it should be 33 percent

What is the slope of the line in the graph?

Answers

Answer:

m=0

Step-by-step explanation:

Pennetta is a wedding planner. She charges a $50 fee plus $100 per guest to plan a wedding for g, the number of guest. Write an equation to determine c, the cost Pennetta charges for planning a wedding for g, the number of guest. This equation can be used to determine how much Pennetta will charge for any given number of guest.

Answers

Answer:

C = 100g + 50

Step-by-step explanation:

-2x + 7 = -32 i need help hurry plsss

Answers

Answer Is x= -19.5

-2x =  -39

-x= 19.5

x= -19.5

A.CED.1/A.REI.4 Tonya has a rectangular rug as shown. The rug is 4 feet longer than it is wide. (Part A) Create an expression that can be used to determine the length and the width of the rug. Write your answers in terms of x.

help me​

Answers

Answer:

Width of the rug = x feet

Length of the rug = (x + 4) feet

Step-by-step explanation:

Let

Width of the rug = x feet

The rug is 4 feet longer than it is wide.

Length of the rug = (x + 4) feet

For instance, to find the area of the rug

Area of a rectangular rug = length × width

= (x + 4) * x

= x² + 4x

Area of a rectangular rug = x² + 4x

To find the perimeter of the rug

Perimeter of the rectangular rug = 2(length + width)

= 2{(x + 4) + x}

= 2(x + 4 + x)

= 2(2x + 4)

= 4x + 8

Perimeter of the rectangular rug = 4x + 8

What is the volume of the cylinder when the height is 34
inch?

Answers

You need to have the radius of the circle , or it’s area

Ill give you the BRAINLIEST (if it lets me)

Answers

Answer:

C and A

Step-by-step explanation:

I did this test.

C and A

I did this a while ago good luck

HELP

find the value of x in a circle 8,x, 20,36

Answers

Answer:

8.8 i think

Step-by-step explanation:

Find the slope of the line that passes through (4.4) and (5,3)

Answers

Answer:

- 1

Step-by-step explanation:

Slope of the line

[tex] = \frac{3 - 4}{5 - 4} \\ \\ = \frac{ - 1}{1} \\ \\ = - 1[/tex]

Max estimates 718 - 331 by rounding each number to the nearest 100 what is Max estimate of the difference?

Answers

Answer:

400

Step-by-step explanation:

718-331

= 387

Rounding off to the nearest hundredth the answer is 400

A professor surveys students regarding personality as an example of

Answers

Answer:

Convenience sampling.

Step-by-step explanation:

Convenience sampling can be understood as a type of sampling that occurs when there is high availability of the population to be investigated.

This method incurs several criticisms because it is not a sampling method that reflects the reality of a population, but convenience sampling can be advantageous due to the speed with which the data are collected and the research initiated, thus being a method recommended for pilot tests.

Please help! Find the value of X

Answers

Answer:

16.50

Step-by-step explanation:

divide it to the upper thanks

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