If a random variable that is normally distributed has a mean of 25 and a standard deviation of
3, convert the given value to a z-score.
a. x = 23
b. x = 33
c. x = 19
d. x = 45

Answers

Answer 1

Answer:

Step-by-step explanation:

To convert a value to a z-score, you need to subtract the mean and divide by the standard deviation. Here is how to convert each value to a z-score:

a. x = 23: (23 - 25) / 3 = -0.67

b. x = 33: (33 - 25) / 3 = 2.33

c. x = 19: (19 - 25) / 3 = -1.67

d. x = 45: (45 - 25) / 3 = 6.67

Therefore, the z-scores are -0.67, 2.33, -1.67, and 6.67 for values a, b, c, and d respectively.


Related Questions

HELP ASAP!!!! 20 POINTS!!

Answers

Answer:

Can you upload this as a jpg, I can't open it to asnwer. Also, you listed 10 points not 20.

Step-by-step explanation:

ye I don’t so any of y’all got the answer?

Answers

No we donntttt I’m struggling

Suppose you invest $150 a month for 3 years into an account earning 7% compounded monthly. After 3 years, you leave the money, without making additional deposits, in the account for another 23 years. How much will you have in the end?

Answers

Answer: You would have $109,802.56 in the end.

Step-by-step explanation:

ixllllllllllllllllllll

Answers

Answer:

the answer is 7 feet

Step-by-step explanation:

28/4=7

Which best describes the solutions to the system?

x + y=− 4
−2x − 2y =0


A one solution
B (0,0)
C no solution
D infinitely many

Answers

Answer:

A best descibes it as we can say its the only answer

Step-by-step explanation:

using symaltaneous equation is the only way to solve it

Two investments totallng $47,500 produce an annual income of $3000. One investment ylelds 9% per year, while the other yields 6% per year. How much is invested at each rate?​

Answers

Answer:

The correct answer is "$5000".

Step-by-step explanation:

The given values are:

Two investments totaling,

= $47,500

Annual income,

= $3000

One investment yields per year,

= 9%

Other yield,

= 6%

Let,

The amount invested in 9% will be "x".The amount invested in 6% will be "[tex]47,500-x[/tex]".

Now,

⇒  [tex]0.09x+0.06(47,500-x)=3000[/tex]

⇒        [tex]0.09x+2850-0.06x=3000[/tex]

⇒                     [tex]0.03x+2850=3000[/tex]

⇒                                [tex]0.03x=150[/tex]

⇒                                       [tex]x=\frac{150}{0.03}[/tex]

⇒                                       [tex]x=5000[/tex]

6) Four bacteria are placed in a petri dish. The population will double every day. The formula for the
number of bacteria in the dish on day tis
N(t) = 4(2)^t
where t is the number of days after the four bacteria are placed in the dish. How many bacteria are
in the dish five days after the four bacteria are placed in the dish?

Answers

Answer:

128

Step-by-step explanation:

N(t) = 4(2)^t

N(t) = 4(2)^5

N(t) = 4(32)

N(t) = 128

The number of bacteria that are

in the dish five days after the four bacteria are placed in the dish is; 128 bacteria

We are given the formula for the

number of bacteria in the dish on day as;

N(t) = 4(2)^t

Where t is number of days after the four bacteria are placed in the dish.

Now we are told tof find the number of bacteria in the dish after 5 days.

Thus, we would put 5 for t in the given equation to get;

N(5) = 4(2)^5

N(5) = 4(32)

N(5) = 128

Read more about exponential growth at; https://brainly.com/question/23766914

A pillow that usually costs $18 is marked down 25%. Which expressions can be used to find the new price of the pillow? Check all that apply.
18 – 0.25(18)
18 – 0.75(18)
0.25(18)
0.75(18)
18(0.25) + 18

Answers

Answer:

a and d

Step-by-step explanation:

brainliest if you want :)

Answer:

A or 18 – 0.25(18)

and

D or 0.75(18)

Step-by-step explanation:

Have great rest of your day. I know this works because I got it correct on the assignment. Good luck! :)

-2/3 over 15 simplfied

Answers

Answer:

Hi! The answer to your question is -10

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

what is the missing reason in the proof shown ?

a. symmetric property
b. reflexive property
c. transitive property
d. commutative property

Answers

Answer:

A symmetric property

Step-by-step explanation:

Answer:

Reflexive property

Step-by-step explanation:

What is the value of the expression: 2-7-(-8) + -10

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Working:

2-7-(-8)+ (-10)

=2-7+8-10

=-7

An exercise machine with an original price of $626 is on sale at 20% off
a. What is the discount amount?
b. What is the exercise machine's sale price?

Answers

Answer:

$125.2-discount

$500.8-sale price

Step-by-step explanation:

hope it helps

10. A large shipment of video streaming devices is accepted upon delivery if an inspection of 20 randomly selected video streaming devices yields no more than 1 defective item. a. Find the probability that the shipment is accepted if 3% of the total shipment is defective. b. Find the probability that the shipment is accepted if 15% of the total shipment is defective.

Answers

Answer:

a) 0.8802 = 88.02% probability that the shipment is accepted

b) 0.1756 = 17.56% probability that the shipment is accepted if 15% of the total shipment is defective.

Step-by-step explanation:

For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of any other item. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20 randomly selected video streaming devices

This means that [tex]n = 20[/tex]

a. Find the probability that the shipment is accepted if 3% of the total shipment is defective.

3% defective means that [tex]p = 0.03[/tex]

Probability of at most 1 defective is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.03)^{0}.(0.97)^{20} = 0.5438[/tex]

[tex]P(X = 1) = C_{20,1}.(0.03)^{1}.(0.97)^{19} = 0.3364[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5438 + 0.3364 = 0.8802[/tex]

0.8802 = 88.02% probability that the shipment is accepted.

b. Find the probability that the shipment is accepted if 15% of the total shipment is defective

Now [tex]p = 0.15[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.15)^{0}.(0.85)^{20} = 0.0388[/tex]

[tex]P(X = 1) = C_{20,1}.(0.15)^{1}.(0.85)^{19} = 0.1368[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0388 + 0.1368 = 0.1756[/tex]

0.1756 = 17.56% probability that the shipment is accepted if 15% of the total shipment is defective.

Last week, Sue worked 7.5 hours each day on Monday and Tuesday and 6.5 hours each day on Wednesday, Thursday, and Friday. She did not work on Saturday or Sunday. If she is paid $6 an hour, how much did she earn last week? Sue earned $ last week.

Answers

Answer:

$207

Step-by-step explanation:

Calculate how nany hours Sue worked last week:

7.5 + 7.5 + 6.5 + 6.5 + 6.5

34.5 hours total

Now calculate her total income for last week:

34.5 hours × $6

$207

What is the answer please help if you put a link I will report

Answers

Answer:

A .27 miles

Step-by-step explanation:

brainliest pls

Solve equation by using the quadratic formula.
2x? + 13x = 0

Answers

Answer:

c

Step-by-step explanation:

The perimeter of a rectangular plot of land for a new housing development is 270 m.

The width of the site is 60 m.

Calculate the length of the building site.

Answers

The length of the building site is 75 meters.

To calculate the length of the rectangular plot of land, we can use the formula for the perimeter of a rectangle, which is given by:

Perimeter = 2 * (Length + Width)

In this case, the width is given as 60 m, and the perimeter is given as 270 m. We can substitute these values into the equation and solve for the length.

270 = 2 * (Length + 60)

Dividing both sides of the equation by 2 gives:

135 = Length + 60

Subtracting 60 from both sides of the equation gives:

Length = 135 - 60

Length = 75

It's important to note that the length of the building site is specific to this particular rectangular plot of land with a given width and perimeter. If the width or perimeter were to change, the length would also change accordingly. Additionally, this calculation assumes that the shape of the plot is a rectangle and that the perimeter only includes the sides of the plot, not any internal structures or obstacles.

For more such questions on length

https://brainly.com/question/28322552

#SPJ8

Which equation shows that 8 is a factor of 32?

Choose 1 answer:

(Choice A)

32 = 8 + 24

(Choice B)

32 = 40 - 8

(Choice C)

32=256÷8

(Choice D)

32=8×4

Answers

Answer:

D

Step-by-step explanation:

A factor is when you divide a number and get no remainders. D shows that 8*4 is 32, meaning that 32/8=4.

x+y+z=9
x-y-z=-1
x-y+z= 21
Which value is not in the solution, (x,y,z), of the
system?
1) -8.
2) ---6
3) 11
4) 4

Answers

the answer is (-8) because x=4, y=-6, z=11

These consists of more than 1 equation with unknown variables. The value that is not a solution in (x,y, z)is -8

System of equations

These consists of more than 1 equation with unknown variables. Given the set of equations

x+y+z=9

x-y-z=-1

x-y+z= 21

Add 1 and 2

2x = 9 - 1

2x = 8

x = 4

Subtract 2 and 3

-2z = -22

z = 11

Determine the value of y

x +y + x = 9

4 + y + 11 = 9

y = 9 - 15

y = -6

Hence the value that is not a solution in (x,y, z)is -8

Learn more on system of equation here: https://brainly.com/question/25976025

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Consider the division problem. 68)472 Which would be the best replacement for 68 to get a quick, but close, estimate of this quotient O A. 50 ОВ. 65 OC. 69 D. 70 E. 100​

Answers

Answer:

Step-by-step explanation:

−4x + 2y < 10 in slope intercept

Answers

Answer:

y < 2x + 5

Step-by-step explanation:

The format for slope intercept is y = mx + b. In this case, it is y < mx + b. Your equation is -4x + 2y < 10. First, start by adding 4x to -4x. This gets rid of that number on the left so it can just be 2y. Now, add that 4x to the right side of the equation. You are left with 2y < 4x + 10. The final step is to divide 2 from 2y. Since you are doing this step on the left side of the equation, you must now do it to the right. After also dividing 2 from 4x and 10, your final answer is y < x +5.

Simplify the following expressions by combining like terms. Then, tell if the expressions are equivalent.

3r + 10 + r -8 and 8 + 2(2r) - 6

Answers

Answer:

2+4r. Expressions are equivalent.

Step-by-step explanation:

3r + 10 + r -8

Multiply r and 3

Multiply r and 1

The r just gets copied along.

The answer is r

r

3*r evaluates to 3r

3*r+10 evaluates to 3r+10

3r + r = 4r

The answer is 4r+10

3*r+10+r evaluates to 4r+10

10 - 8 = 2

The answer is 2+4r

3*r+10+r-8 evaluates to 2+4r

The final answer is

2+4r

8 + 2(2r) - 6

Multiply r and 2

Multiply r and 1

The r just gets copied along.

The answer is r

r

2*r evaluates to 2r

Multiply 2 and 2r

Multiply 1 and r

The r just gets copied along.

r

2*(2*r) evaluates to 4r

8+2*(2*r) evaluates to 8+4r

8 - 6 = 2

The answer is 2+4r

8+2*(2*r)-6 evaluates to 2+4r

The final answer is

2+4r

P = 3. Q = -2. Solve 4PQ

Answers

4(3)(-2)
=12(-2)
=-24

Answer:

-24

Step-by-step explanation:

4(3)(-2) = -24

circle A and circle b are two different circles find the missing values on this table (look at the image)​

Answers

(i) Given radius r = 15 cm ∴ diameter d = 2 x 15 = 30 cm Circumference C = πd units = 227227 x 30 = 66076607 = 94.28 cm (ii) Given circumference C = 1760 cm 2πr = 1760 2 x 227227 x r = 1760 r = 1760×72×221760×72×22 = 160×72×2160×72×2 = 40 x 7 = 280 cm Diameter = 2 x r = 2 x 280 = 560 cm (iii) diameter d = 24m radius r = d2d2 = 242242 = 12 m Circumference C = 2 πr units = 2 x 227227 x 12 = 52875287 = 75.4 m Tabulating the results S. No. radius (r) diameter (d) circumference (C) (i) 15 cm 30 cm 94.28 cm (ii) 280 cm 560 cm 1760 cm (iii) 12 m 24

a bit messy sorry for that

Find the measures of the numbered angles in each kite.

Answers

Answer:

x = 15

y = 13

Step-by-step explanation:

6x - 4 = 5x + 11

x = 15

4y + 3 + 3y + 86 = 180

7y = 91

y = 13

help plz its a mathematical punnet square

Answers

Answer:

X    2     -7

-9  -18    126

3    -54   -6,804

     1944  7.71

      0.00396604938

Step-by-step explanation:

I tried. Sorry if it's wrong I've never done a mathematical punnet square before.

Someone help me with this please I will mark Brainliest if correct.

Answers

Answer:

Add the formula do the math!

I will give you the answer later!

P.s maybe after you tell me if you figured it out!

Step-by-step explanation:

Have a great week!

Hope i helped! <3

Tell me if so!

Your welcome!

Byes! :)

-Sincerely, Brainliest!

Please answer the questions below.

Answers

Answer:

i can't see the question

Name: LESTER GREEN Class: NIGHT SCHOOL Complete with the missing letters and then colour. ED BAK _LU GRE_ W_ _TE PN B_O_N GR. N. a ELL__ RE_ OR N E PURP__ i havourite Colours​

Answers

Black Green
Blue Yellow
Green Red
White Orange
Pink Purple
Brown

Find the value of x. Round to the nearest degree

Answers

Answer:

27.81 is the answer so round up to 28

Step-by-step explanation:

you need to find inverse sine of 7÷15 to find x

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