Write the following expression in standard place-value form.

Answer:

parentheses ( ), brackets [ ], and braces { }—are used to group numbers or variables (letters

Step-by-step explanation:

I put three for if u need hope this helps:)

Answer:

The two values of X that delineate the "82% middle pack" of this random variable are 9480 and 27520.

0.4017 = 40.17% probability that the sample average that you calculated will lie between 1,702 and 1,948.

Step-by-step explanation:

To solve the first question, we use the normal distribution, while for the second quetion, it is used with 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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

First question:

Mean of 18,500:

This means that [tex]\mu = 18500[/tex]

You are told that P(X ≥ 15,000) = 0.6981.

This means that when [tex]X = 15000[/tex], Z has a o-value of 1 - 0.6981 = 0.3019, which means that when [tex]X = 15000, Z = -0.52[/tex]. We use this to find [tex]\sigma[/tex]. So

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

[tex]-0.52 = \frac{15000 - 18500}{\sigma}[/tex]

[tex]0.52\sigma = 3500[/tex]

[tex]\sigma = \frac{3500}{0.52}[/tex]

[tex]\sigma = 6731[/tex]

What are the two values of X that delineate the "82% middle pack" of this random variable?

Between the 50 - (82/2) = 9th percentile and the 50 + (82/2) = 91st percentile.

9th percentile:

X when Z has a p-value of 0.09, so X when Z = -1.34.

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

[tex]-1.34 = \frac{X - 18500}{6731}[/tex]

[tex]X - 18500 = -1.34*6731[/tex]

[tex]X = 9480[/tex]

91st percentile:

X when Z has a p-value of 0.91, so X when Z = 1.34.

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

[tex]1.34 = \frac{X - 18500}{6731}[/tex]

[tex]X - 18500 = 1.34*6731[/tex]

[tex]X = 27520[/tex]

The two values of X that delineate the "82% middle pack" of this random variable are 9480 and 27520.

Question 2:

A random variable has a population mean equal to 1,973 and population variance equal to 892,021.

This means that [tex]\mu = 1973, \sigma = \sqrt{892021} = 944.5[/tex]

Sample of 79:

This means that [tex]n = 79, s = \frac{944.5}{\sqrt{79}}[/tex]

What is the probability that the sample average that you calculated will lie between 1,702 and 1,948?

This is the p-value of Z when X = 1948 subtracted by the p-value of Z when X = 1702. So

X = 1948

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

By the Central Limit Theorem

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

[tex]Z = \frac{1948 - 1973}{\frac{944.5}{\sqrt{79}}}[/tex]

[tex]Z = -0.235[/tex]

[tex]Z = -0.235[/tex] has a p-value of 0.4071

X = 1702

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

[tex]Z = \frac{1702 - 1973}{\frac{944.5}{\sqrt{79}}}[/tex]

[tex]Z = -2.55[/tex]

[tex]Z = -2.55[/tex] has a p-value of 0.0054

0.4071 - 0.0054 = 0.4017

0.4017 = 40.17% probability that the sample average that you calculated will lie between 1,702 and 1,948.

Answer:

number 2

Step-by-step explanation:

2x2=4

2x-3=-6

4-6=-2

2x2=4

-2x3=-6

4-6=-2

4x-30= 50

mark me brainliestttt :))

Answer:

The number is 20

Step-by-step explanation:

Let the number be x

Four times the number means = 4x

30 less than the number is 50 means = 4x - 30 = 50

Solve for x :

      4x - 30 = 50

      4x - 30 + 30 = 50 + 30           [ adding 30 on both sides ]

                 4x = 80                       [ - 30 + 30 = 0 ]

                   x = 20                       [ dividing by 4 on both sides ]

Answer:

D is the answer

Step-by-step explanation:

[tex] \large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \underline{ \tt {x = - 12 \: and \: y = 10}}}}}✓}[/tex]

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Answer:

[tex] \small \sf \: x = - 12 \: \: and \: y = 10[/tex]

Step-by-step explanation:

2x + 4y = 16.

-2x - 3y = -6

Add both equation ;

[tex] \small \sf \: \: \: \: \: 2x + 4y = 16 \\ + \small \sf \: \: \underline{ -2x - 3y = -6 }\\ \small \sf \: \: \: \: \: \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \blue{y = 10}} [/tex]

Therefore , y = 10

Substitute the value of y in the first equation

2x + 4 = 16

2 x + 4 × (10) = 16

2x + 40 = 16

subtract 40 from both side

2x + 40 - 40 = 16 - 40

2x = - 24

divide each side by 2

2x/ 2 = - 24 / 2

x = - 12

Answer:

4x^12y^6/z^5

Step-by-step explanation:

See image below:)  

FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

Answer:

I don’t understand you language

Step-by-step explanation:

Make it in English

Answer:

hey. your questions is not complete. pls add an attachment of the graph to your question

Answer:

[tex]-\frac{1}{5}[/tex]

Step-by-step explanation:

To find the slope, the formula is [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{1-2}{3-(-2)}=-\frac{1}{5}[/tex]

Hope this helps

Answer:

Mean

Step-by-step explanation:

Mean

less precisely called the average

Answer:

110°

Step-by-step explanation:

5x+10=4x+19

5x-4x =19-10

x = 9

m L ADB = 5(9)+10=45+10=55°

so m L ADC = 2×55° = 110°

Answer:

AYYYYYYYYYYYYYYYYYYYYY

Step-by-step explanation:

Step-by-step explanation:

the answer is in the above image

Step-by-step explanation:

note : H for head, T for tail

Answer:

Step-by-step explanation:

A=(a+b)/2 x h.

Answer:

x^2-15x-54

Step-by-step explanation:

(x+3)(x-18) Multiply them all

x^2-18x+3x-54

ans=x^2-15x-54

Answer:

[tex]\Sigma\left {n} \atop {1}} \right. (5n^2+3n)[/tex]

Step-by-step explanation:

Given the series 8 + 18 + 28 + 38

First, we need to find the sum of the nth term of the sequence as shown

Sn = n/2[2a+(n-1)d]

n is the number of terms

a is the first term  = 8

d is the common difference = 18-8 = 28-18 = 10

Substitute

Sn = n/2 [2(8)+(n-1)*10]

Sn = n/2 [16+10n-10]

Sn = n/2[10n+6]

Sn = 2n/2(5n+3)

Sn = n(5n+3)

Sn = 5n²+3n

In Sigma form;

[tex]\Sigma\left {n} \atop {1}} \right. (5n^2+3n)[/tex]

Answer:

48 cm^3

Step-by-step explanation:

Since there is no image, I’m just going to assume that these three measurement are the length, width, and height of the rectangular prism:

The formula for the volume of a rectangular prism is length x width x height.

Use formula with given dimensions:

3 x 8 x 2 = 48

Volume is measured in cubic centimeters

(cm in this case)

Therefore, the volume of the rectangular prism is 48 cm^3

Hope this helps!

Answer:

[tex]E(10x + 3y) =106[/tex]

Step-by-step explanation:

Given

[tex]E(x) =10[/tex]

[tex]Var(x) = 100[/tex]

[tex]E(y) =2[/tex]

[tex]Var(y) = 16[/tex]

Required

[tex]E(10x + 3y)[/tex]

To do this, we make use of the following equation

[tex]E(ax + by) =aE(x) + bE(y)[/tex]

So, we have:

[tex]E(10x + 3y) =10 * E(x) + 3 *E(y)[/tex]

[tex]E(10x + 3y) =10 * 10 + 3 *2[/tex]

[tex]E(10x + 3y) =100 + 6[/tex]

[tex]E(10x + 3y) =106[/tex]

Answer:

YES

Step-by-step explanation:

PRIME NUMBER BETWEEN 10 & 20 ARE 11,13,17,19-four

Step-by-step explanation:

it has no factor excluding 1 and itself

Answer:

The answer is D.

Step-by-step explanation:

The side lengths for this special triangle is represented with x, x[tex]\sqrt{3}[/tex] , and 2x

if the side length that sees 90 degrees is 10 (2x and x = 5 in this case)

so s (the side length that sees 30 degrees) is = 5

and q (the side length that sees 60 degrees) = 5[tex]\sqrt{3}[/tex]

Answer:

A

Step-by-step explanation:

180-133= 47

180-142= 38

47+38= 85

180-85= 95

If the inside of n is 95, n has to be  85

Answer:

Step-by-step explanation:

Answer:

10 oz: 7

14 oz: 8

20 oz: 6

Answer:

Kyle filled  4 servings of 10oz   16 servings of 14 oz  9 servings of 20 oz

Step-by-step explanation:

10oz  95c = x

14oz 1.15c = y

20oz 1.50c = z

444 given divided by 29 cups

= 444/29 = 15.3103448 average cup weight so the higher size were used more.  

9 servings of 20 oz cups = 180 = cost check at 1.50 x 9 = $13.50

16 servings of 14 oz cups = 224 = cost check at 16 x 1.15 = $18.40

4 servings of 10 oz cups = 40 = cost check at 4 x 0.95 = $3.80

Where given collection total said to be $35.90 we total 13.5+18.4+3.8 = 35.7 so we are 0.20 out and can try again.

OR just submit this.  4 servings of 10oz   16 servings of 14 oz  9 servings of 20 oz

Step-by-step explanation:

[tex] \frac{x + 4}{3 {x}^{2} - 12x - 96} = \frac{x + 4}{3( {x}^{2} - 4x - 32) } = \frac{x + 4}{3(x - 8)(x + 4)} [/tex]

[tex] = \frac{1}{3(x - 8)} = \frac{1}{3x - 24} [/tex]

Answer:

4. 52sq.ft

5.25sq.ft

Step-by-step explanation:

In attachment

Answer:

Hence the true proportion is (0.388, 0.492).

Step-by-step explanation:

Given n=250,

[tex]p= 110/250 =0.44[/tex]

[tex]a=0.1, |Z(0.05)|=1.645[/tex] (check standard normal table)  

So 90% CI is

[tex]p ± Z*√[p*(1-p)/n]\\0.44 ± 1.645*sqrt(0.44*(1-0.44)/250)\\ ( 0.388, 0.492)[/tex]

Answer:

1. x = 126

angle POS = 33

2. x = 31

angle MOL = 118

Step-by-step explanation:

for question one, 147 degrees equals x + 21

so x = 126

147 plus 147 equals 294

360-294 equals 66

66/2 equals angle POS

angle POS = 33

for question 2, 62 degrees equals 2x

62 divided by 2 is 31

x = 31

62 + 62 = 124

360-124 = 236

236/2 = 118

angle MOL = 118

Answer:76

Step-by-step explanation:

67

Answer:

The first is negative and the second is also negative. Just took the test and passed.

Step-by-step explanation: Step by Step

Because the variable has an even power, we will see that:

Here we have h(x) = -4x^2 + 11

Notice that the variable is squared, this means that the sign does not matter, the outcome of:

-4x^2 will always be negative. So in both ends (when x tends to infinity and negative infinity), we will have the same end behavior.

When we take that limit, -4x^2 will just tend to negative infinity, then in both cases, the function tends to negative infinity.

So we have:

If you want to learn more about limits, you can read:

https://brainly.com/question/5313449