Just the image below.

Answer:

a

  [tex]P(X = 4) = 0.31599[/tex]

b

 [tex]P(X  \ge 2) = 0.9921  [/tex]

Step-by-step explanation:

From the question we are told that

    The proportion in favor of carbon tax is  [tex]p = 0.72[/tex]

    The sample size is  n  = 6

Generally the distribution of poll  follows a binomial distribution  

i.e  

         [tex]X  \~ \ \ \  B(n , p)[/tex]

and the probability distribution function for binomial  distribution is  

      [tex]P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators      

   Generally the probability that the number answering in the affirmative is  4 is mathematically represented as

       [tex]P(X = 4) =  ^{6}C_4 *  (0.72)^4 *  (1- 0.72)^{6-4}[/tex]

=>     [tex]P(X = 4) = 0.31599[/tex]

   Generally the probability that the number answering in the affirmative is At least two is mathematically represented as

     [tex]P(X  \ge 2) =  1 -  P( X <  2 ) [/tex]

     [tex]P(X  \ge 2) = 1- [ P(X =  0 ) + P( X = 1)] [/tex]

=>  [tex]P(X  \ge 2) = 1- [ [ 1 *  1 * 0.00048 ]+ [ 6 * 0.72 * 0.00172] [/tex]

=>    [tex]P(X  \ge 2) = 1- [ 0.00791 ] [/tex]

=>    [tex]P(X  \ge 2) = 0.9921  [/tex]

Answer:

Infinite amount of solutions

General Formulas and Concepts:

Pre-Alg

Alg I

Step-by-step explanation:

Step 1: Define systems

x = y - 3

2x - 2y = -6

Step 2: Solve for y

Here we see that -6 does equal -6. Therefore, any value y would work as a solution. Hence, this systems of equations has an infinite amount of solutions.

By using the fact that the sum of the interior angles is 900°, we will find that the value of x is 110.

We know that for a figure of N sides, the sum of the interior angles gives:

S = (N - 2)*180°

In this case, we have 7 sides, then the sum of the interior angles gives:

S = (7 - 2)*180° = 5*180° = 900°

Adding the 7 angles we get:

105° + 150° + 140° + x° + 135° + 125° +135° = 900°

790° + x° = 900°

x° = 900° - 790°

x = 110°

The value of x is 110.

Learn more about interior angles:

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Answer:

y=-8, x=1

Step-by-step explanation:

Answer:

if ur trying finding the y-intercept  it's -24

Step-by-step explanation:

slope- intercept form is y=mx+b we know m is 4 (7,4) 7 is the x 4 is the y ...

then you plug them in and we know 4 times 7 is 28 and then 4-s8 is -24  

Answer: C) SAS is correct

Check out the diagram below.

We're given BA = BC as shown in red.

The congruent angles are shown in blue. The larger angle is bisected into smaller equal halves.

The red segments are congruent by the reflexive property.

The angles mentioned are between the sides mentioned, so that's why we can use SAS.

Answer: D

Step-by-step explanation: Use money chip calculator

Answer:

A.) Max at x = 6 and Min at x = -6

Step-by-step explanation:

We say that f(x) has a relative (or local) maximum at x=c if f(x)≤f(c) f ( x ) ≤ f ( c ) for every x in some open interval around x=c . We say that f(x) has an absolute (or global) minimum at x=c if f(x)≥f(c) f ( x ) ≥ f ( c ) for every x in the domain we are working on.

Answer:

13, 106 and 254

Step-by-step explanation:

Complete Question:

The temperature doubled.  Evaluate when t = 32 degrees.

The value of the expression when t = 32 degrees is  degrees

Answer:

64 degrees

Step-by-step explanation:

Given

[tex]t = 32[/tex]

Required

Determine the value of t when it doubles

To do this, we simply multiply the current temperature by 2.

So:

[tex]t = 32[/tex] becomes

[tex]t = 32 * 2[/tex]

[tex]t = 64[/tex]

Hence, the temperature when it doubles is 64 degrees

Answer:

2

Step-by-step explanation:

First, find the number by dividing 8 by 0.04

8/0.04

= 200

Then, find 1% of 200 by multiplying it by 0.01:

200(0.01)

= 2

So, 1% of the number is 2.

Answer:

The answer is 2

Step-by-step explanation:

4%x5=20% and 8x5=40, 20%x5=100% and 40x5=200 and 1% means you move the decimal to the left twice so it is 2, my explanation  might be wrong but I know my answer is correct:

)

Answer:

12 x 12 = 144, 12 x 13 = 156

Step-by-step explanation:

Answer:

B) No more than three games

Step-by-step explanation:

est $290+32=322

322+32+32=$386

386+32=418 (which is over price)

Answer:

B. no meor than three games

Step-by-step explanation:

400.00 - 289.99 = 110.01

110.01 - 32.29 = 72.72 (1 game)

72.27 - 32.29 = 45.43 (2 games)

45.43 - 32.29 = 13.14 (3 games)

13.14 left over

Answer:

12.5%

Step-by-step explanation:

0.21875km=218.75m

218.75m×100÷1750m=12.5%

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

It is is a ratio comparing quantities of different items with 1 in the denominator. Technically the price, quantity, or distance of one item.

Example

If Nancy buys 20 items for $180 dollars, what is the unit rate of the item's price

$180/20 = $9 per item (9/1)

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[tex]h(x) = 4 {x}^{2} + 4x + 1 [/tex]

[tex]h(x) = ({2x + 1})^{2} [/tex]

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Answer:

A

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

Answer:

The answer would be 231 miles.

Step-by-step explanation:

This is because you have to make this into the most common ratio, which would be 1/33. To get to 7 gallons, you must multiply 33 by 7, because you multiplied 1 by 7.

Answer:

y = 50x + 26.50

Step-by-step explanation:

we put the x after 50 be cause we don't know how many hours he worked

then add 26.50 the cost of the parts.

Hoped this helped.

Answer:

C: y=50x+26.50

Step-by-step explanation:

I just took the test and i got it right!!! 100%

do i get brainlest

Answer:

B

Step-by-step explanation:

Refer to the picture that given

Answer:

Step-by-step explanation:

so the whole question is as follows

Answer:

4

Step-by-step explanation:

The percent error of the newspaper's estimate once the season is over will be 4%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A school newspaper estimates that their academic team will win 25 out of 30 matches for the season.

Then the percentage will be given as,

P = (25 / 30) x 100

P = 0.8333 x 10

P = 83.33%

After 15 matches, they won 12. Then the percentage will be given as,

P = (12 / 15) x 100

P = 0.80 x 100

P = 80%

If the team continues winning at this rate. Then the percent error of the newspaper's estimate once the season is over will be

P = [(83.33 - 80) / (83.33)] x 100

P = 0.04 x 100

P = 4%

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Answer:

(A) The 25th percentile is 20.

(B) The mean of the data set is 20 and the median of the data set is 25. The data set is left-skewed.

Step-by-step explanation:

The data set arranged in ascending order is:

S = {15, 20, 22, 25, 28, 40, 55}

(A)

Compute the 25th percentile as follows:

[tex]25^{th} \text{Percentile}=[\frac{n+1}{4}]^{th}obs.\\\\=[\frac{7+1}{4}]^{th}obs.\\\\=2^{nd}obs.\\\\=20[/tex]

Thus, the 25th percentile is 20. This value implies that exactly 25% of the observations are less than 20.

(B)

Compute the sample mean as follows:

[tex]\text{Mean}=\frac{22+25+20+15+40+55+28}{7}=\frac{205}{7}=29.29[/tex]

Compute the median as follows:

For a set with odd number of observations, the median value if the middle value.

The middle value is 25.

Thus, the mean of the data set is 20 and the median of the data set is 25.

The Mean < Median.

This implies that the data set is left-skewed.

Answer:

For A+B

a. 0.3+0.8 = 1.1

b. 1.2+1.4 = 2.6

c. 3.4 + 4.2 = 7.6

d. 2.25 + 2.95 = 5.20

For B-A

a. 0.8-0.3 = 0.5

b. 1.4-1.2 = 0.2

c. 4.2-3.4 = 1.2

d. 2.95-2.25 = .070

Answer:

The 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).

Step-by-step explanation:

The information provided is as follows:

[tex]x=507\\n=32601\\\text{Confidence level }=99\%[/tex]

The sample proportion is:

[tex]\hat p=\frac{x}{n}=\frac{507}{32601}=0.016[/tex]

The critical value of z for 99% confidence level is, z = 2.56.

Compute the 99% confidence interval for the proportion of ASD in Arizona as follows:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

    [tex]=0.016\pm 2.58\cdot\sqrt{\frac{0.016(1-0.016)}{32601}}\\\\=0.016\pm 0.0018\\\\=(0.0142, 0.0178)\\\\\approx (0.014, 0.018)[/tex]

Thus, the 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).