QUESTION 4
The expected value can be used to calculate the overall grade for a course by using the
earned value for each grade category and its category weighted probability. Calculate the
overall grade given the following grade data:
Grade Category
Earned Value
Weighted Probability
Homework
95
20%
Quiz
80
20%
Test
75
45%
Project
90
15%
Enter your answer as a numeric. For example, if your answer is 78.23%, enter 73.23.​

Answer: If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.

Step-by-step explanation:

Given: 7+5i is a zero of a polynomial function of degree 5 with coefficients

Here, 7+5i is a complex number.

So, it conjugate ([tex]\overline{7+5i}=7-5i[/tex]) is also a zero of a polynomial function.

Hence, if 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.

If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate which is 7 - 5i

The standard form of writing complex numbers with real and imaginary values is expressed as:

z = x + iy

The conjugate of the complex number will be y = x - iy

Given the polynomial 7 + 5i. If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate which is 7 - 5i

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Answer: 8 is the anwser

Step-by-step explanation:

Answer:

the answer is: 9.25

Step-by-step explanation:

the cube root of 792 is approximately 9.252.

To find the cube root of 792, we can use the relationship between cube roots and cube numbers.

If the cube root of 99 is approximately 4.626, we can use this information to find the cube root of 792.

Let's calculate the cube root of 792 using the relationship:

(cube root of 792) = (cube root of 99) * (cube root of 8)

Since 792 is equal to 99 multiplied by 8 (792 = 99 * 8), we can rewrite the equation as:

(cube root of 792) = (4.626) * (cube root of 8)

Now, we need to find the cube root of 8:

(cube root of 8) = 2

Substituting this value back into the equation, we get:

(cube root of 792) = (4.626) * (2) = 9.252

Therefore, the cube root of 792 is approximately 9.252.

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Answer:

the correct answer is 15011.428571

Step-by-step explanation:

=525.4 ÷ 0.035

=15011.428571

hope this works out!!!!

The division of decimal values 525.4 ÷ 0.035 = 15011.428571........

To divide decimals we make them integers by multiplying the numerator and denominator by 10ⁿ, where n is the number of decimal places in the numerator or denominator, whichever has more.

Then we follow the steps of normal numeric divisions.

In the question, we are asked to divide the equation 525.4 ÷ 0.035.

We can write this as 525.4/0.035.

Now, 0.035 has more decimal places, with n = 3, where n is the number of decimal places.

Thus, we multiply the numerator and denominator by 10³ = 1000.

Therefore, 525.4/0.035

= (525.4*1000)/(0.035*1000)

= 525400/35

= 15011 3/7

= 15011.428571........

Thus, the division of decimal values 525.4 ÷ 0.035 = 15011.428571........

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Answer:

66.992%

Step-by-step explanation:

[tex]Sales, S(t)=7-6\sqrt[3]{t}[/tex]

Since we want to maximize revenue for the government

Government's Revenue= Sales X Tax Rate

[tex]R(t)=t \cdot S(t)\\R(t)=t(7-6\sqrt[3]{t})\\=7t-6t^{1+1/3}\\R(t)=7t-6t^{4/3}[/tex]

To maximize revenue, we differentiate R(t) and equate it to zero to solve for its critical points. Then we test that this critical point is a relative maximum for R(t) using the second derivative test.

Now:

[tex]R'(t)=7-6*\frac{4}{3} t^{4/3-1}\\=7-8t^{1/3}[/tex]

Setting the derivative equal to zero

[tex]7-8t^{1/3}=0\\7=8t^{1/3}\\t^{1/3}=\dfrac{7}{8} \\t=(\frac{7}{8})^3\\t=0.66992[/tex]

Next, we determine that t=0.6692 is a relative maximum for R(t) using the second derivative test.

[tex]R''(t)=-8*\frac{1}{3} t^{1/3-1}\\R''(t)=-\frac{8}{3} t^{-2/3}[/tex]

R''(0.6692)=-3.48 (which is negative)

Therefore, t=0.66992 is a relative maximum for R(t).

The tax rate, t that maximizes revenue for the government is:

=0.66992 X 100

t=66.992% (correct to 3 decimal places)

Answer:

0.001

Step-by-step explanation:

Here, the aim is to support the null hypothesis, Ha. Where Ha: p > 0.5. Which means we are to reject null hypothesis H0. Where H0: p = 0.5.

The higher the pvalue, the higher the evidence of success. We know If the pvalue is less than level of significance, the null hypothesis H0 is rejected.

Hence the smallest possible value 0.001 is preferred as the pvalue because it corresponds to the sample evidence that most strongly supports the alternative hypothesis that the method is effective

Answer:

3 GB

Step-by-step explanation:

Since the family has used 1 GB in 10 days. With the same rate in 30 days they would have 3 GB

Answer:54

volume:side*side*side

side:1 cm*1 cm *1 cm      

answer=icm

Answer:

r= 29.82

Step-by-step explanation:

r/7.1=4.2

r= 4.2*7.1

r= 29.82

Answer:

29.82         i did the unit test

Step-by-step explanation:

Answer: A) 45%

Step-by-step explanation:

The question is incomplete. The complete question is

Carl, Gilda, Conroy, and Kyla are the four candidates in a school election. Carl received 1/5 of the votes, Gilda received 10% of the votes, and Conroy received 1/4 of the votes. If Kyla received all of the remaining votes, what percentage of the votes did she receive? A. 45\% B. 55\% C. 20\% D. 50\%

Solution:

The total percentage of the votes that is spread among the 4 contestants is 100%

Carl received 1/5 of the votes. It means that the percentage of votes that Carl received is

1/5 × 100 = 20%

Gilda received 10% of the votes.

Conroy received 1/4 of the votes. It means that the percentage of the votes that Conroy received is

1/4 × 100 = 25%

Therefore, if Kyla received all of the remaining votes, then the percentage of the votes that she received is

100 - (20 + 10 + 25) = 45%

Answer:

40%

Step-by-step explanation:

Answer:

[tex] \frac{1}{2} {r}^{2} ( \frac{1}{2}\pi - 1)[/tex]

option D is the right option.

solution,

Area of shaded region:

Area of sector-Area of ∆

[tex] = \frac{90}{360} \times \pi {r}^{2} - \frac{1}{2} \times r \times r \\ = \frac{1}{4} \pi {r}^{2} - \frac{1}{2} {r}^{2} \\ = \frac{1}{2} {r}^{2} ( \frac{1}{2} \pi - 1)[/tex]

Hope this helps...

Good luck on your assignment..

The  expression in square units that represents the area of the shaded segment of C. Geometry is [tex]\frac{1}{2}r^2(\frac{1}{2}\pi - 1)[/tex]

Since we know that

The area of the shaded region = Area of the sector - an area of a triangle

So,

[tex]= \frac{90}{360} \times \pi r^2 - \frac{1}{2} \times r\times r\\\\ = \frac{1}{4}\pi r^2 - \frac{1}{2}r^2 \\\\= \frac{1}{2}r^2(\frac{1}{2}\pi - 1)[/tex]

hence, The  expression in square units that represents the area of the shaded segment of C. Geometry is [tex]\frac{1}{2}r^2(\frac{1}{2}\pi - 1)[/tex]

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Answer:

  1/275,625 ≈ 3.641×10^-6

Step-by-step explanation:

There are 65×65×65 = 274,625 possible combinations. The probability of guessing the correct one is 1/275,625 ≈ 3.641×10^-6.

Answer:

150 km

Step-by-step explanation:

1 liter ............ 40 km

15/4 liter .........x km

x = 15/4×40/1 = 600/4 = 150 km

Answer:

The requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are µ = 0 and σ = 1.

Step-by-step explanation:

A normal-distribution is an accurate symmetric-distribution of experimental data-values.  

If we create a histogram on data-values that are normally distributed, the figure of columns form a symmetrical bell shape.  

If X [tex]\sim[/tex] N (µ, σ²), then [tex]Z=\frac{X-\mu}{\sigma}[/tex], is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z [tex]\sim[/tex] N (0, 1).

The distribution of these z-variates is known as the standard normal distribution.

Thus, the requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are µ = 0 and σ = 1.

Answer:

None of the sides can be a triangle.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Point estimate is the difference between the sample means. Therefore,

A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15

2) Margin of error = z√(σ²/n1 + σ2²/n2)

Where

z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96

s1 and s2 are standard deviation for both customers respectively.

Standard deviation = √variance

σ1 = √100 = 10

σ2 = √641 = 25.32

Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5

At 95% confidence, the margin of error is 7.5

3) The confidence interval for the difference of two population means is expressed as point estimate ± margin of error

Confidence interval = 15 ± 7.5

The upper boundary for the confidence interval is

15 - 7.5 = 7.5

The lower boundary for the confidence interval is

15 + 7.5 = 22.5

A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5

4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (x1 - x2)/(√σ1²/n2 + σ2²/n2)

z = (140 - 125)/√10²/64 + 25.32²/49

z = 1.02

The test statistic for an alpha of .05 is 1.02

Answer:

M = 90 for a sample of n = 100

Step-by-step explanation:

The correct order of the steps of a hypothesis test is given following  

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance or M = 90 with s sample of n = 100. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.

Answer:

144

Step-by-step explanation:

Susan can pick 4 pounds of coffee beans in an hour.  Tom can pick 2 pounds of coffee beans in an hour.  Together, they can pick 6 pounds of coffee an hour.

4 + 2 = 6

There are 24 hours in a day.  Multiply the time by the amount that can be picked to find the answer.

24 × 6 = 144

Together, the maximum number of pounds of coffee beans the can pick in a day is 144 pounds.

Together they can pick a maximum of 36 pounds of coffee

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

given:

Susan can pick 4 pounds of coffee or 2 pounds of nuts.

Tom can pick 2 pounds of coffee or 4 pounds of nuts.

So, In 6 hours

Susan will pick

= 4 * 6

= 24 pounds of coffee.

In 6 hours,

Tom will pick

=2 * 6

= 12 pounds of coffee.

Hence, together they can pick a maximum of 36 pounds of coffee

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Answer:

domain: (-4,4)

Step-by-step explanation:

i'm not sure if it has brackets because it doesn't have point that are on x-intervals -4 and 4

Answer:

Step-by-step explanation:

Her sample is of a portion/part of the population of jewelers in her town

Her sample is also biased and id not a representation of the population in that she sampled on the biggest jewelers without considering the smaller one which might possibly have the latest jewelry trends.

Answer: It is Bias and not representative

Step-by-step explanation:

Answer:

2.99

Step-by-step explanation:

99.99 - 97 = 2.99

The percentage change to 2 decimal places when a price of 97 is increased to 99.99 is 3.08%

What is percentage change?

Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage.

percentage change formula = [tex]\frac{final value - initial value }{Initial value}[/tex]× 100

According to the given question

We have

initial value = 97

final value = 99.99

therefore,

⇒percentage change = [tex]\frac{99.99-97}{97}[/tex]× 100

⇒percentage change = [tex]\frac{2.99}{97}[/tex]×100

⇒percentage change = 0.0308×100=3.0824

⇒percentage change = 3.08%

Hence, the percentage change to 2 decimal places when a price of 97 increased to 99.99 is 3.08%.

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Answer: A

Step-by-step explanation:

(f-g)(x) means f(x)-g(x). Since we are given f(x) and g(x), we can directly subtract them.

4x+1-(x²-5)           [distribute -1]

4x+1-x²+5            [combine like terms]

4x-x²+6                [rewrite in the order of exponents]

-x²+4x+6

Hey Mate !

Here is your expert answer. If you do like this accurate answer. Please Mark as Brainliest !

192.

2(8+4)÷2(8+8) = 1(4+8)×(8+8)

1×12×16=192.

Answer:

Step-by-step explanation:

[tex]2(4 + 8) \div 2(8 + 8)[/tex]

Any expression divided by itself equals 1

[tex]1(4 +8) \times (8 + 8)[/tex]

Add numbers

[tex]1 \times 12 \times 16[/tex]

Any expression multiplied by 1 remains the same

[tex]12 \times 16[/tex]

Multiply the numbers

[tex]192[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

  34°

Step-by-step explanation:

Because AB and CB are tangents, the measure of angle B is the supplement of the measure of arc AC:

  180° -146° = 34°

Answer:

I don't think so

Step-by-step explanation:

Answer:

None of the above

Step-by-step explanation:

Answer:

None of the Above

Step-by-step explanation:

I got it right on Khan Academy :) Have a Great Day!

Answer:

(6,-3)

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

To tell whether the domains can include 0, all you need to do is find where x = 0, and whether the y-value is real.

h(x) = sqrt(2x^2 + 5x - 3)

= sqrt(0^2 + 5 * 0 - 3)

= sqrt(-3)

Since this includes the square root of a negative number, h(0) is an imaginary number. That means that we can eliminate choices A and B.

If you look at the graph of w(x), when x = 0, there is a real value for the y-value on the graph. But, if you think about it, if you have 0 workers, there is no way that you can still be producing wrenches. So, the domain cannot contain 0.

Your answer will be D.

Hope this helps!!

Answer: B. 22%

Step-by-step explanation:

Answer:

Yeah its 22%

Step-by-step explanation: