Solve for a
-8 = a(2+5)^2 +41
A. -1
B. 1
C. -2
D. 2

Answer:

The p-value is 0.0013. He should reject the null in favor of the alternative.

Step-by-step explanation:

We are given that Members of a soccer team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it turns up tails less often than it should if it were fair.

The coach of the team decides to flip the coin 100 times and count the number of tails. His trial results in 35 tails.

Let p = proportion of occurrence of tail.

SO, Null Hypothesis, [tex]H_0[/tex] : p = 0.50     {means that it turns up tails equal to that it should if it were fair}

Alternate Hypothesis, [tex]H_A[/tex] : p < 0.50      {means that it turns up tails less often than it should if it were fair}

The test statistics that would be used here One-sample z-test for proportions;

                            T.S. =  [tex]\frac{\hat p-p}{\sqrt{\frac{ p(1-p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of tails occurrence = [tex]\frac{35}{100}[/tex] = 0.35

            n = sample of trails = 100

So, the test statistics  =  [tex]\frac{0.35-0.50}{\sqrt{\frac{0.50(1-0.50)}{100} } }[/tex]    

                                     =  -3

The value of z test statistics is -3.

Also, P-value of the test statistics is given by;

                P-value = P(Z < -3) = 1 - P(Z [tex]\leq[/tex] 3)

                              = 1 - 0.9987 = 0.0013

Since, the P-value of test statistic is less than the level of significance as 0.0013 < 0.01, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that it turns up tails less often than it should if it were fair.

Answer:

D). last one

Step-by-step explanation:

a. 4x+3=45

4x=42

x=10.5 (incorrect)

b. 5x-8=68

5x=76

x=25.2 (incorrect)

c. 2x-5=29

2x=34

x=17 (incorrect)

d. 3x+6=42

3x=36

x=12

Answer:

3 1/4

Step-by-step explanation:

3/4 + (1/3 ÷1/6) - (-1/2)

Subtracting a negative is adding

3/4 + (1/3 ÷1/6) +1/2

Parentheses first

Copy dot flip

3/4 + (1/3 * 6/1) +1/2

3/4 + 2 + 1/2

Get a common denominator

3/4 + 2 + 2/4

2 + 5/4

2 + 4/4 +1/4

2+1 + 1/4

3 1/4

Answer:

Inverse of f(x)

               [tex]f^{l} (x) = \frac{8 x}{3-x}[/tex]

Step-by-step explanation:

Explanation:-

Step(i):-

Given the function

                        [tex]f(x) = \frac{3 x}{8+x}[/tex]

Given function is one-one and onto function

Hence f(x) is bijection function

                   [tex]y = f(x) = \frac{3 x}{8+x}[/tex]

now cross multiplication, we get

            ( 8+x)y = 3 x

             8 y + x y = 3 x

             8 y = 3 x - x y

taking Common 'x' we get

            x (3 - y) = 8 y

                   [tex]x = \frac{8 y}{3-y}[/tex]

Step(ii):-

The inverse function

                 [tex]x = \frac{8 y}{3-y} = f^{l}(y)[/tex]

The inverse function of x

                  [tex]f^{l}(x) = \frac{8 x}{3-x}[/tex]

Final answer:-

Inverse of f(x)

               [tex]f^{l} (x) = \frac{8 x}{3-x}[/tex]

Answer:

Any line with a slope of 1/2 would be parallel to that line.

Step-by-step explanation:

A line is parallel when the slopes are the same, causing the situation where the lines will never intercept. The line in the question has a slope of 1/2, so a parallel line must have that same slope.

Answer:

I dont know sorry

Step-by-step explanation:

Answer:

its a relation

Step-by-step explanation:

Answer:

D. (x - 8) (x - 8)

Step-by-step explanation:

-16x must be split into two terms that can be added to get -16, and multiplied to get 64. The only two terms that can satisfy this, is -8.

(x - 8) (x - 8)

If you're unsure about whether it's correct, you can multiply the two together to see if you get your original expression, [tex]x^2-16x +64[/tex], as your answer.

Answer:

x=10

Step-by-step explanation:

9x-3=87

add 3 to both sides

9x=90

divide by 9 on both sides

x=10

Answer:

x=10

Step-by-step explanation:

9x-3=87

you add 3 to both sides

9x-3(+3)=87(+3)

which equals

9x=90

90/9= 10

answer:

x =10

I hope this helped!

Answer:

100[tex]\pi[/tex] cubic cm

Step-by-step explanation:

The volume of a cone can be represented by the formula [tex]\frac{1}{3} \pi r^{2} h[/tex]. Since we know the radius is 5, all we need to find id the height. To do that, we can use the Pythagorean theorem, and see that the height is equal to 12. Plugging the numbers into the formula gives us:

[tex]V =\frac{1}{3} \pi (5^{2}) (12)[/tex]

[tex]V = 100\pi[/tex]

HOPE THIS HELPED! :)

Step-by-step explanation:

150 km in 3 hours

= 150 ÷ 3 = 50km/h

Remaining distance = 560 - 150 = 410

Remaining hours = 8 - 3 = 5

Then average speed = 410 ÷ 5 = 82 km / h

Answer:I believe it would be 5/12

Step-by-step explanation:

You add all of them up then since it's 5 grapes and in total there is 12 fruit snacks. It should be 5 grapes of 12 fruit snacks in the bag.

Answer

I believe C considering cubic mass

Answer:

D

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

1.5*4=6

To solve this problem, we'll set up a ratio between the equivalent values.

We know that 1 1/2 pages and 1/4 of an hour are our two values, and assuming that Azi writes at a constant speed, we're able to write this ratio:

1.5 : .25

(I'm just writing with decimals because I find them easier to work with, but decimals or fractions will give you the correct answer.)

Since .25 is 1/4 of an hour, we can multiply this value by 4 to get 1 hour.

Additionally, since this is a ratio, what you do to one side must be done to the other, so 1.5 will also be multiplied by 4.

(1.5 x 4) = (.25 x 4)

6 = 1

Therefore, Azi can type 6 pages in one hour.

Hope this helped! :)

Answer:

X equals 4

11 times 4 equals 44

Answer:

x = 4

Step-by-step explanation:

you multiply 11 by 4, and get 44

The answer is 4.55

When you divide 5 by 11 you will get  0.45454545454 than when you multiply these numbers by 10 you will get 4.54545454545 and then the rounded answer is 4.55.

Answer: 4.54

Step-by-step explanation:

Answer:

0.0066%

Step-by-step explanation:

Answer:

78.88% probability that this sample proportion is within 0.05 of the population proportion

Step-by-step explanation:

We need to understand the normal probability distribution and the central limit theorem to solve this question.

Normal probability distribution

Problems of normally distributed samples are 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 proportion p in a sample of size n, we have that [tex]\mu = p, s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this question:

[tex]p = 0.8, n = 100[/tex]

So

[tex]\mu = 0.8, s = \sqrt{\frac{0.8*0.2}{100}} = 0.04[/tex]

What is the probability that this sample proportion is within 0.05 of the population proportion.

This is the pvalue of Z when X = 0.8 + 0.05 = 0.85 subtracted by the pvalue of Z when X = 0.8 - 0.05 = 0.75.

X = 0.85

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.85 - 0.8}{0.04}[/tex]

[tex]Z = 1.25[/tex]

[tex]Z = 1.25[/tex] has a pvalue of 0.8944.

X = 0.75

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

[tex]Z = \frac{0.75 - 0.8}{0.04}[/tex]

[tex]Z = -1.25[/tex]

[tex]Z = -1.25[/tex] has a pvalue of 0.1056.

0.8944 - 0.1056 = 0.7888

78.88% probability that this sample proportion is within 0.05 of the population proportion

Answer:

The answer is 3/16 pounds of chocolate

Answer:3/16

Step-by-step explanation:

a pound of candy is 1

Harper bought 3/8 of 1

3/8 x 1=3/8

1/2 of harper candy = chocolate

1/2 of 3/8

1/2 x 3/8=3/16

Answer:

Answer: B

Step-by-step explanation:

The number given is 37.62. So, by rounding to the nearest hundredths the number becomes 37.612 and this can be determined by using the rules of rounding off to the nearest hundredths.

Given :

Number - 37.62

The following steps can be used to round off any number to the nearest hundredth:

Step 1 - In the thousandths place value analyze that digit to round off a decimal.

Step 2 - If the value is 5 or more than 5 in the thousandth place then the digit is increased by 1 which is at the hundredth place and in the thousandth place digit and thereafter becomes zero.

Now, the number given is 37.62. So, by rounding to the nearest hundredths the number becomes 37.612.

Therefore, the correct option is B) 37.612.

For more information, refer to the link given below:

https://brainly.com/question/2096984

Answer:

It's popular and hard

Step-by-step explanation:

A.Equation

Step-by-step explanation:

A. Equation 30 plus 4

Answer:

x=0

Step-by-step explanation:

<BCA is half of arc BA or half of 120 which is 60.

do the math, and then x has to be 0 degrees

Answer:

21

Step-by-step explanation:

Answer:

6.7

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

e = d + 5

Step-by-step explanation:

e = d + 5

f = d - 7

Solve for e means write as e = ...d

and this is already there...

You can not write it more compact then this.

If you try, you will notice you finally end with the initial equation which you started with, or you endup with something which is obviously very true like

e = e or d = d.

Answer:

D) FOR BOTH

so 1. D $389.00 17%

2. is D  $411.25

Jimmy's Total Minimum Credit Card Payment must be equal to $71.54 if he is to clear his debt over the next 12 months.

In order for a credit issuer to give an applicant a card, there is a minimum amount that must be deposited into and remain in such a bank account every month. This is what is called a minimum credit card payment.

To calculate Jimmy's MCCP across all cards, we must use the formula:

(APR * Days of Billing Cycle * balance)/365

So for A:

((563 * 30 * 16)/365)/100 = $7.40

For B:

((2,525 * 30 * 21)/365) / 100 = $43.52

For C:

((972 * 30 * 19)/365) / 100 = $15.18

For D:

((389 * 30 * 17)/365) / 100 = $5.44

To get Jimmy's total Minimum Credit Card Payment, we say:

7.40 + 43.52 + 15.18 + 5.44 = $ 71.54

See the link below for more about Minimum Credit Card Payment:

https://brainly.com/question/1245865

Answer:

  [tex]\left[\begin{array}{cc}63&38\\49&28\end{array}\right][/tex]

Step-by-step explanation:

  [tex]\left[\begin{array}{cc}1&8\\0&7\end{array}\right]\left[\begin{array}{cc}7&6\\7&4\end{array}\right]=\left[\begin{array}{cc}(1)(7)+(8)(7)&(1)(6)+(8)(4)\\(0)(7)+(7)(7)&(0)(6)+(7)(4)\end{array}\right]\\\\=\left[\begin{array}{cc}63&38\\49&28\end{array}\right][/tex]

Each element of the product matrix is the dot product of the corresponding row in the left matrix and the corresponding column in the right matrix.

For example, the element at row 2, column 1 of the product is [0 7]·[7, 7], the dot product of row 2 of the left matrix with column 1 of the right matrix.

_____

Many calculators, spreadsheets, and web sites can do this tedious math for you.

Answer:

3/90

Step-by-step explanation:

1 slot  is 1/30

2 slot is 1/30

3 slot is 1/30

this gives you that 3/90 when you had them

Answer:

D)  1/(30×30×30) = 1/27000 = 0.00003 or 0.003%

Step-by-step explanation:

Answer:

For 0 correct answer [tex]^4c_0p^0q^{4-0}[/tex]

For 1 correct answer [tex]^4c_1p^1q^{4-1}[/tex]

For 2 correct answer [tex]^4c_2p^0q^{4-2}[/tex]

For 3 correct answer [tex]^4c_3p^1q^{4-3}[/tex]

For 4 correct answer [tex]^4c_4p^1q^{4-4}[/tex]

Step-by-step explanation:

It is given that there are 4 questions n = 4

Number of choices is 4

So probability of getting correct answer [tex]=\frac{1}{4}[/tex]

Probability of getting incorrect answer [tex]=1-\frac{1}{4}=\frac{3}{4}[/tex]

Probability distribution is given by [tex]^nc_rp^rq^{n-r}[/tex]

Therefore probability distribution of 0 correct answer

[tex]^4c_0p^0q^{4-0}[/tex]

Therefore probability distribution of 1 correct answer

[tex]^4c_1p^1q^{4-1}[/tex]

Therefore probability distribution of 2 correct answer

[tex]^4c_2p^0q^{4-2}[/tex]

Therefore probability distribution of 3 correct answer.

[tex]^4c_3p^1q^{4-3}[/tex]

Therefore probability distribution of 4 correct answer.

[tex]^4c_4p^1q^{4-4}[/tex]

Answer:

⅓ m/s

Step-by-step explanation:

Area of a square is:

A = s²

Take derivative of both sides with respect to time:

dA/dt = 2s ds/dt

Given that dA/dt = 6 m²/s and s = 9 m:

6 m²/s = 2 (9 m) ds/dt

ds/dt = ⅓ m/s

The Formula of the area of a square: A = bh or A = s^2

Solution:

~Take derivative of both sides

da/dt = 2s * ds/dt

~Use given values (6m^2/s and 9m)

6 = 2(9) * ds/dt

~Simplify

1/3m/s = ds/dt

Best of Luck!

Answer:

1.

Step-by-step explanation:

∛1= 1.

It can also be seen as:

1×1×1= 1.