What is the length of AC?

Answer:

Step-by-step explanation:

f(x)=-x+4

f(-2)=-(-2)+4

f(-2)=+2+4

f(-2)=6

Answer:

6

Step-by-step explanation:

-(-2)+4=___

+(+2)+4=6

Answer:

a) Alternative hypothesis: the use of the coupons is isgnificantly higher than 10%.

Null hypothesis: the use of the coupons is not significantly higher than 10%.

The null and alternative hypothesis can be written as:

[tex]H_0: \pi=0.1\\\\H_a:\pi>0.1[/tex]

b) Point estimate p=0.13

c) At a significance level of 0.05, there is not enough evidence to support the claim that the proportion of coupons use is significantly higher than 10%.

Eagle should not go national with the  promotion as there is no evidence it has been succesful.

Step-by-step explanation:

The question is incomplete.

The sample data shows that x=13 out of n=100 use the coupons.

This is a hypothesis test for a proportion.

The claim is that the proportion of coupons use is significantly higher than 10%.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.1\\\\H_a:\pi>0.1[/tex]

The significance level is 0.05.

The sample has a size n=100.

The point estimate for the population proportion is the sample proportion and has a value of p=0.13.

[tex]p=X/n=13/100=0.13[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.1*0.9}{100}}\\\\\\ \sigma_p=\sqrt{0.0009}=0.03[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.13-0.1-0.5/100}{0.03}=\dfrac{0.025}{0.03}=0.833[/tex]

This test is a right-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z>0.833)=0.202[/tex]

As the P-value (0.202) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the proportion of coupons use is significantly higher than 10%.

Answer:

b

Step-by-step explanation:15 x 5 = 75 and 20 x 4 = 80 making 155 and 15 x 3  = 45 and 20 x 2 = 40 making 85

Answer:  5942

Step-by-step explanation:

Clue 4 states exactly two of the digits = 1, 4, or 9

Clue 1 leaves us with the following combinations:

1, 9, 2, 8

1, 9, 3, 7    eliminate by clue 5

4, 9, 2, 5

1, 4, 7, 8

Clue 5 directs us to the following order for 1,9,2,8

2 __ __ 1     --> 2981 or 2891   eliminate by clue 2

9 __ __ 8    --> 9128 or 9218   eliminate by clue 6

9 __ __ 2    --> 9182 or 9812   eliminate by clue 6

Clue 5 directs us to the following order for 4,9,2,5

5 __ __ 2     --> 5492 or 5942   eliminate 5492 by clue 2

9 __ __ 2    --> 9452 or 9542   eliminate by clue 3

Clue 5 directs us to the following order for 1,4,7,8

4 __ __ 1    --> 4781 or 4871    eliminate by clue 2

The only combination not eliminated is 5-9-4-2, which satisfies all six clues.

1) 5 + 9 + 4 + 2 = 20

2) 5 > 4

3) 9 - 2 > 5

4) 4 & 9 but not 1 are included

5) 5 + 2 = 7, which is a prime number

6) 2 <  5, 9, 4

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Logarithms,

so we get as,

t = 2

Answer:

C. c = (xv - x) / (v - 1).

Step-by-step explanation:

v = (x + c) / (x - c)

(x - c) * v = x + c

vx - vc = x + c

-vc - c = x - vx

vc + c = -x + vx

c(v + 1) = -x + vx

c = (-x + vx) / (v + 1)

c = (-x + xv) / (v + 1)

c = (xv - x) / (v + 1)

So, the answer should be C. c = (xv - x) / (v + 1).

Hope this helps!

Answer:

The answer is option 1.

Step-by-step explanation:

Given that the volume of pyramid formula is:

[tex]v = \frac{1}{3} \times base \: area \times height[/tex]

The base area for this pyramid:

[tex]base \: area = area \: of \: rectangle[/tex]

[tex]base \: area = 10 \times 6[/tex]

Then you have to substitute the following values into the formula:

[tex]let \: base \: area = 10 \times 6 \\ let \: height = 12[/tex]

[tex]v = \frac{1}{3} \times 10 \times 6 \times 12[/tex]

Answer:

A. V = 1/3 (10)(6)(12)

Step-by-step explanation:

Just took the test and got it right

Answer:

180 fb*lb

45 ft*lb

Step-by-step explanation:

We have that the work is equal to:

W = F * d

but when the force is constant and in this case, it is changing.

 therefore it would be:

[tex]W = \int\limits^b_ a {F(x)} \, dx[/tex]

Where a = 0 and b = 30.

F (x) = 0.4 * x

Therefore, we replace and we would be left with:

[tex]W = \int\limits^b_a {0.4*x} \, dx[/tex]

We integrate and we have:

W = 0.4 / 2 * x ^ 2

W = 0.2 * (x ^ 2) from 0 to 30, we replace:

W = 0.2 * (30 ^ 2) - 0.2 * (0 ^ 2)

W = 180 ft * lb

Now in the second part it is the same, but the integral would be from 0 to 15.

we replace:

W = 0.2 * (15 ^ 2) - 0.2 * (0 ^ 2)

W = 45 ft * lb

Following are the calculation to the given value:

Given:

[tex]length= 30 \ ft\\\\mass= 0.4 \ \frac{lb}{ft}\\\\edge= 80 \ ft \\\\[/tex]

To find:

work=?

Solution:

Using formula:

[tex]\to W=fd[/tex]

[tex]\to W=\int^{30}_{0} 0.4 \ x\ dx\\\\[/tex]

[tex]= [0.4 \ \frac{x^2}{2}]^{30}_{0} \\\\= [\frac{4}{10} \times \frac{x^2}{2}]^{30}_{0} \\\\= [\frac{2}{10} \times x^2]^{30}_{0} \\\\= [\frac{1}{5} \times x^2]^{30}_{0} \\\\= [\frac{x^2}{5}]^{30}_{0} \\\\= [\frac{30^2}{5}- 0] \\\\= [\frac{900}{5}] \\\\=180[/tex]

Therefore, the final answer is "[tex]180\ \frac{ lb}{ft}[/tex]".

Learn more:

brainly.com/question/15333493

Answer:

The  UCL  is  [tex]UCL = 0.054[/tex]

The LCL  is  [tex]LCL \approx 0[/tex]

Step-by-step explanation:

From the question we are told that  

     The quantity of each sample is  n =  30

     The  average of defective products is  [tex]p = 0.025[/tex]

Now  the upper control limit [UCL] is  mathematically represented as

      [tex]UCL = p + 3 \sqrt{\frac{p(1-p)}{n} }[/tex]

substituting values  

      [tex]UCL = 0.025 + 3 \sqrt{\frac{0.025 (1-0.025)}{30} }[/tex]

      [tex]UCL = 0.054[/tex]

The  upper control limit (LCL) is mathematically represented as

       [tex]LCL = p - 3 \sqrt{\frac{p(1-p)}{n} }[/tex]

substituting values  

      [tex]LCL = 0.025 - 3 \sqrt{\frac{0.025 (1-0.025)}{30} }[/tex]

       [tex]LCL = -0.004[/tex]

        [tex]LCL \approx 0[/tex]

Answer:

Step-by-step explanation:

Given p(A)=0.30,p(B)=0.40and p(A∩B) =0.20,then p(A/B) is expressed as shown:

p(A|B) = p(A∩B)/p(A)

p(A|B) means B is independent and A depends on B.

In your problem P(A)=0.65, P(A∩B) =0.1

Substituting the given values,

p(A|B) = 0.2/0.30

p(A|B) = 2/10 * 10/3

p(A|B) = 2/3

1). Draw a perpendicular from point A to side BC. Let AD = h

2). sin A = h/c and sin C = h/a

3). h = c Sin A, h = a sin C

4). c Sin A =a sin C

5). Divide both side by Sin A * Sin C

6). c Sin A/(Sin A * Sin C) =a sin C/(Sin A * Sin C)

7). c/sin C = a/Sin A

8). Similarly prove that,  c/sin C = b/Sin B

9).  c/sin C =  b/Sin B = a/Sin A

correct on plato

Answer:

B

Step-by-step explanation:

the slope of parallel lines are equal

Answer:

6

Step-by-step explanation:

=> -x+4

Given that x = -2

=> -(-2)+4

=> 2+4

=> 6

Answer:

6

Step-by-step explanation:

You just have to input -2 into the statement and then solve

= -(-2) + 4

= 2+ 4

= 6

Answer: The answer is D

Step-by-step explanation:

Edge 2021

The true statement is (d) WXYZ is not necessarily a parallelogram because it is unknown if WC = CY.

Quadrilaterals are shapes with four sides

Parallelograms are quadrilaterals that have equal and parallel opposite sides

The quadrilateral is given as:

WXYZ

Also, we have:

WC = CY

The given parameters are not enough to determine if the quadrilateral is a parallelogram or not

Hence, the true statement is (d) WXYZ is not necessarily a parallelogram because it is unknown if WC = CY.

Read more about quadrilaterals and parallelograms at:

https://brainly.com/question/1190071

Answer:

(A)4 + 4 + 4 = 12

Step-by-step explanation:

Each of Nika's cake needed 17/4 cups of flour. Now, we know that:

[tex]\dfrac{17}{4}=4.25 \approx 4[/tex]

Therefore, for three loaves of bread, the best estimate of the number of cups of flour Nika used is:

4 + 4 + 4 = 12

The correct option is A.

Answer:

The correct answer is A.)4 + 4 + 4 = 12

Answer:

The farmer should expect to LOSE 10 pounds of soybeans per acre per year

Step-by-step explanation:

f(x)=-x^2 + 20x + 100

just find how many soybeans his land will yield (per acre) after 10 and 20 years:

After 10: 200 pounds of soybeans/acre

After 20: 100 pounds of soybeans/acre

Because 10 years have passed and they lost 100 pounds of soybean production per acre, the farmer should expect to lose 10 pounds of soybeans per acre per year (-10 pounds of soybeans per acre/year)

Answer:

This question should be worth atleast 20 points

Step-by-step explanation:

a. For the vertex, input the funtion into the calculator, and see where the turning piont is, that is the vertex.

b. Solve using this vormula.

x= (-b ±[tex]\sqrt{b^2 - 4ac}[/tex])/2a

you will get two asnwrs, both are correct.

Answer:

No solution.

Step-by-step explanation:

Because the equations are combined but the final answers are not equal, the equations have no solution. This is because "no matter what value is plugged in for the variable, you will ALWAYS get a contradiction".

Hope this helps!

Answer:

12/25

Step-by-step explanation:

Answer:

So then our significance level is [tex]\alpha=0.05[/tex] and we need to remember these two conditions:

1) If the p value [tex]p_v <\alpha[/tex] we have enough evidence to reject the null hypothesis at the significance level given

2) If the p value [tex]p_v \geq \alpha[/tex] we have enough evidence to FAIL reject the null hypothesis at the significance level given

And baed on the options we see that the only possibility would be:

d. 0.015

Step-by-step explanation:

We want to know for which value we would REJECT the null hypothesis.

So then our significance level is [tex]\alpha=0.05[/tex] and we need to remember these two conditions:

1) If the p value [tex]p_v <\alpha[/tex] we have enough evidence to reject the null hypothesis at the significance level given

2) If the p value [tex]p_v \geq \alpha[/tex] we have enough evidence to FAIL reject the null hypothesis at the significance level given

And baed on the options we see that the only possibility would be:

d. 0.015

Answer:

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

Step-by-step explanation:

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

A reminder is that the standard deviation is the square root of the variance.

Normal probability distribution

When the distribution is normal, we use 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.

In this question:

[tex]\mu = 3639, \sigma = \sqrt{145161} = 381, n = 41, s = \frac{381}{\sqrt{41}} = 59.5[/tex]

Probability that the mean of the sample would differ from the population mean by less than 126 miles

This is the pvalue of Z when X = 3639 + 126 = 3765 subtracted by the pvalue of Z when X = 3639 - 126 = 3513. So

X = 3765

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

By the Central Limit Theorem

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

[tex]Z = \frac{3765 - 3639}{59.5}[/tex]

[tex]Z = 2.12[/tex]

[tex]Z = 2.12[/tex] has a pvalue of 0.983

X = 3513

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

[tex]Z = \frac{3513 - 3639}{59.5}[/tex]

[tex]Z = -2.12[/tex]

[tex]Z = -2.12[/tex] has a pvalue of 0.017

0.983 - 0.017 = 0.966

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

Answer:

y = 9

Step-by-step explanation:

Since we are trying to find a horizontal line, our line would have to be y = [a number]. That takes our x = -5 and x = 9 out as answer choices. We are left with y = -5 and y = 9. y = 9 is correct because the horizontal line is the y-values, and since in (-5, 9), our y-value is 9, our line is y = 9.

Answer:

Solution = 46

Step-by-step explanation:

I believe you meant standard deviation. Standard deviation is defined as the variation of the data set, or the differences between the values in this set. In order for the standard deviation to be 0, all values should be the same.

Now if the mean is 46, the smallest possible number of each value in the data set should be 46 as well.  This is considering the mean is the average of the values, and hence any number of values in the data set being 46 will always have a mean of 46. Let me give you a demonstration -

[tex]Ex. [ 46, 46, 46 ], and, [46, 46, 46, 46, 46]\\Average = 46 + 46 + 46 / 3 = 46,\\Average = 46 + 46 + 46 + 46 + 46 / 5 = 46[/tex]

As you can see, the average is 46 in each case. This proves that a data set consisting of n number of values in it, each value being 46, or any constant value for that matter, always has a mean similar to the value inside the set, in this case 46. And, that the value of the smallest standard deviation is 46.

Answer:

The answer is

Step-by-step explanation:

f(x) = 2x² + 1

g(x) = 3x - 5

To find f - g(x) subtract g(x) from f(x)

That's

f-g(x) = 2x² + 1 - (3x - 5)

= 2x² + 1 - 3x + 5

= 2x² - 3x + 6

Hope this helps you

Answer:

76

Step-by-step explanation:

Flute players- 5

Trumpet player- 3 times flute players -15

Trombone players- 8 fewer than trumpet-7

Drummers- 11 more than trombone-18

Clarinet- 2 times flute- 10

Tuba-4 fewer than trombone-3

French horn- 3 more than trombone- 10

Band director- 1

Assistant-1

Volunteers- 6

5+15+7+18+10+3+10+1+1+6=76

Answer:

The probability that the weight of a randomly selected steer is between 920 and 1730 lbs

P(920≤ x≤1730) = 0.7078

Step-by-step explanation:

Step(i):-

Given mean of the Population = 1100 lbs

Standard deviation of the Population = 300 lbs

Let 'X' be the random variable in Normal distribution

Let x₁ = 920

[tex]Z = \frac{x-mean}{S.D} = \frac{920-1100}{300} = - 0.6[/tex]

Let x₂ = 1730

[tex]Z = \frac{x-mean}{S.D} = \frac{1730-1100}{300} = 2.1[/tex]

Step(ii)

The probability that the weight of a randomly selected steer is between 920 and 1730 lbs

P(x₁≤ x≤x₂) = P(Z₁≤ Z≤ Z₂)

                  = P(-0.6 ≤Z≤2.1)

                  = P(Z≤2.1) - P(Z≤-0.6)

                 = 0.5 + A(2.1) - (0.5 - A(-0.6)

                 =  A(2.1) +A(0.6)               (∵A(-0.6) = A(0.6)

                 =  0.4821 + 0.2257

                 = 0.7078

Conclusion:-

The probability that the weight of a randomly selected steer is between 920 and 1730 lbs

            P(920≤ x≤1730) = 0.7078

Answer:

0.7975

Step-by-step explanation:

Answer:

b at most 199

Step-by-step explanation:so the total was 121 and there is a flat fee of 21.50 so you subtract that out and gat 99.5 since its .5 per mile its going to be divided giving 199 and that is the most she could have driven.

Step-by-step explanation:

Maybe the page numbers can be 143 and 246

143 + 246 = 389

Answer:

194 and 195

Step-by-step explanation:

x = 1st page

x + 1 = 2nd page

x + x + 1 = 389

2x + 1 = 389

2x = 388

x = 194

x + 1 = 195

Answer:

  23.29 lbs

Step-by-step explanation:

The force on Jenny due to gravity can be resolved into components perpendicular to the hillside and down the slope. The down-slope force is ...

  (90 lbs)sin(15°) ≈ 23.29 lbs

In order to keep Jenny in position, that force must be balanced by an up-slope force of the same magnitude.