Liliana used 4 dark power crystals to raise 14 zombie soldiers. She wants to know how many zombie soldiers (z) left parenthesis, z, right parenthesis she can raise with 10 dark power crystals.

Answer:

0.0022 = 0.22% probability that the sample proportion is greater than than 0.43

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Based on historical data, your manager believes that 32% of the company's orders come from first-time customers.

This means that [tex]p = 0.32[/tex]

Mean and standard deviation:

Sample of 146 means that [tex]n = 146[/tex]

[tex]\mu = p = 0.32[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.32*0.68}{146}} = 0.0386[/tex]

What is the probability that the sample proportion is greater than than 0.43?

This is 1 subtracted by the pvalue of Z when X = 0.43. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.43 - 0.32}{0.0386}[/tex]

[tex]Z = 2.85[/tex]

[tex]Z = 2.85[/tex] has a pvalue of 0.9978

1 - 0.9978 = 0.0022

0.0022 = 0.22% probability that the sample proportion is greater than than 0.43

Answer:

Scale Factor is 2.5

Step-by-step explanation:

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 3x from both sides of the equation:

3x (-3x) + 4y = (-3x) + 20

4y = -3x + 20

Next, divide 4 from both sides of the equation:

(4y)/4 = (-3x + 20)/4

y = (-3/4)x + 5

[tex]y = -\frac{3}{4}x + 5[/tex]

~

Note the equation.

y = mx + b

y = y

m = slope = [tex]-\frac{3}{4}[/tex]

x = x

b = y-intercept = 5

Answer:

D

Step-by-step explanation:

dd

Answer:

option 4

[tex]2 x + 3 = y [/tex]

2 (1)+3=5

2 (2)+3=5

and so on and so on

Answer:

p=16?

16+5=21?

Step-by-step explanation:

16+5=21

Your Answer;

❀♡ 12 x 24 + 4 x 13 = 340 ♡❀

Answer:

340

Step-by-step explanation:

The correct answer is false.

Multiples 5 include: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, etc.

Bold numbers: even

Normal numbers: odd

Answer:

B) [tex]\frac{6}{12}[/tex]

Step-by-step explanation:

Note that you do not need to simplify. Simply multiply straight across:

[tex]\frac{3}{4} * \frac{2}{3} = \frac{3 * 2}{4 * 3} = \frac{6}{12}[/tex]

B) [tex]\frac{6}{12}[/tex] is your answer.

`

Answer:

6/10, simplified 3/5

Step-by-step explanation:

kinda tricky, but the fraction is stated right out.

Answer:

3/5

Step-by-step explanation:

Answer: oh that's ava

Step-by-step explanation: ;w; I still don't know them-

Answer:

816

Step-by-step explanation:

also hazzy you can talk to me *hugs him* UwU dis ish toga btw

Answer:

3,750cm²

Step-by-step explanation:

Total surface area of a cube is expressed as;

A = 6L²

L is the side length of the cube;

Given

L = 25cm

TSA = 6 (25)²

TSA = 6 * 625

TSA = 3,750cm²

Hence the total surface area of the box is 3,750cm²

Answer:

Step-by-step explanation:

So, if u put together x and y, it'll make 48 because

the arranged two numbers will go to 9.

Answer:

-24

Step-by-step explanation:

18, 12, 8, 4, 0, -4, -8, -12, -18, -24

You are going down by 4 so by the time you get to the 10th term it will be a negative.

Answer:

y-intercept: Put x = 0 in the equation y = 2x - 6 and solve for x. The y-intercept is -6.

Answer:

252 menu

Step-by-step explanation:

Total number courses, n = 10

The largest number of menu the chef can plan using his 10 main courses.

There are various combinations of menu obtainable from the available courses :

Ranging from :

nC0 to nCn

The largest number of menu he can plan is the highest output obtainable between :

10C0 to 10C10

10C0 = 1

10C1 = 10

10C2 = 45

10C3 = 120

10C4 = 210

10C5 = 252

10C6 = 210

10C7 = 120

10C8 = 45

10C9 = 10

10C10 = 1

Hence, the largest number of menu he can plan using his 10 main courses is 252

Answer:

$180

Step-by-step explanation:

$18 × 6

=$180

That's your answer

Answer:

C

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

Answer:

yes you're right :)

Step-by-step explanation:

you have to use the pythogram therom for this

a² + b² = c²

20² + 10² = c²

400 + 100 = c²

c = √500

Answer:

C) an open top cone

Step-by-step explanation:

Answer:

92.7 ft

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

5x - 30 = 3x + 60

2x - 30 = 60

2x = 90

x = 45

Answer:

If America paid 3% interest for a year

At simple interset ,

FV = Pv(1 + it)

FV = Future value

Pv = present value

i = interest rate

t= time

FV = Pv(1 + it)

    = $3900( 1+ 0.03 x 5)

      = $4485

FV = PV + interest

FV - PV =  interest

$4485 - $3900 = interest

interest = $585

Step-by-step explanation:

Answer:

part of it is cutted out show a better picture please ill answer it

Step-by-step explanation:

Answer:

2.0986814e+29

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

punch your calculator to find out

even the calculator might not give u the exact value

Answer:

7.5

Step-by-step explanation:

a - (2a-1)/a

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

(1-a)/3a

Multiply the top and bottom by 3a

a - (2a-1)/a              3a

-------------------- * ---------------

(1-a)/3a                     3a

3a *a - (2a-1)*3a/a

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

          (1-a)/3a *3a

Simplify

3a *a - (2a-1)*3

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

          (1-a)

3a^2 - 6a+3

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

          (1-a)

Factor

3( a^2 -2a+1)

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

-(a-1)

3(a-1)^2

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

-(a-1)

Cancel like terms

-3(a-1)

Letting a = -1.5

-3( -1.5-1)

-3 (-2.5)

7.5