Which of the following is equal to (9 + 4i) - (-3 - 6i)?

For part a, you can use a chi-squared test to determine whether the variance in the sample exceeds the maximum acceptable variance in the population.

The null hypothesis for this test is that the variance in the sample is equal to or less than the maximum acceptable variance, and the alternative hypothesis is that the variance in the sample is greater than the maximum acceptable variance.

To perform the test, you need to first calculate the chi-squared statistic, which is given by:

X² = (n-1) * s² / σ²

where n is the sample size (in this case, 15), s is the sample standard deviation (in this case, 0.014 inches), and σ is the maximum acceptable variance (in this case, 0.0001 inches).

Plugging in the values, you get:

X² = (15-1) * .014² / .0001² = 27.44

Next, you need to determine the degrees of freedom for the test. In this case, the degrees of freedom is equal to the sample size minus 1, so the degrees of freedom is 14.

With the chi-squared statistic and the degrees of freedom, you can look up the p-value in a chi-squared table or use a chi-squared calculator to determine the p-value. The p-value is the probability of observing a chi-squared statistic as large or larger than the one you calculated, assuming the null hypothesis is true.

If the p-value is less than the significance level (in this case, .10), then you can reject the null hypothesis and conclude that the variance in the sample exceeds the maximum acceptable variance. In this case, the p-value is between 0.01 and 0.025, so you can reject the null hypothesis and conclude that the variance in the sample exceeds the maximum acceptable variance.

For part b, you can use a t-test to construct a 90% confidence interval estimate of the variance in the population. The confidence interval is an interval estimate of the true variance in the population, and the 90% confidence level means that there is a 90% probability that the true variance in the population falls within the confidence interval.

To construct the confidence interval, you first need to calculate the standard error of the variance, which is given by:

SE = s / √(n-1)

where s is the sample standard deviation and n is the sample size. Plugging in the values, you get:

SE = 0.014 / √(15-1) = 0.0041

Next, you need to determine the t-value for the confidence interval. The t-value is based on the degrees of freedom and the confidence level. With 14 degrees of freedom and a 90% confidence level, the t-value is 1.76.

With the standard error and the t-value, you can construct the confidence interval as follows:

Lower bound = s² - t * SE = .014² - 1.76 * 0.0041 = 0.00012 inches

Upper bound = s² + t * SE = .014² + 1.76 * 0.0041 = 0.00042 inches

Therefore, the 90% confidence interval estimate of the variance of the ball bearings in the population is .00012 to .00042 inches.

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Answer:

X ∈ {-2, -1 ,1 ,5 ,6}

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

7.5 ÷ 0.4

Step-by-step explanation:

7.5÷0.4 we just divide the two and the answer is

18.75

if u want to change it to 1 decimal place it will be 18.8

Answer:

No

Step-by-step explanation:

I dont think rational numbers can be negative. Also the values are not repeating.

Answer:

2/30

Step-by-step explanation:

There are only two females in the class that have an A, meaning there is only 2/30 people who have an A and are female.

Answer:

2/16

Step-by-step explanation:

The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.

To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.

The loan amount can be calculated by subtracting the down payment from the property value:

Loan amount = Property value - Down payment

           = $170,000 - $20,000

           = $150,000

Now we can calculate the LTV ratio:

LTV ratio = Loan amount / Property value * 100

         = $150,000 / $170,000 * 100

         = 88.24%

Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.

To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:

PMI payment = (Loan amount * PMI rate) / 12

           = ($150,000 * 0.30%) / 12

           = $450 / 12

           = $37.50

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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.

Use the table to find her monthly PMI payment

Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.

30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%

15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.

A. $51.25

B. $37.50

C. $23.75

D. $42.50

Step-by-step explanation:

Given that,

The radius of a bcc unit cell is, \(r=2.55\times 10^{-8}\ cm\)

We need to find the length of the edge in pm.

We know that,

For a bcc unit cell, the relation between the radius and the length of the edge is given by :

Edge length,

\(a=\dfrac{4r}{\sqrt{3} }\\\\a=\dfrac{4\times 2.55\times 10^{-8}}{\sqrt{3} }\\\\a=5.88\times 10^{-8}\ cm\)

Hence, this is the required soolution.

Answer:

The solution x = 2 is the only solution

If c is a whole number, k is also a whole number.

Answer:

B

Step-by-step explanation:

Part A:

3(m+54) = 381 shows that 54 is being added to m, the initial sum. Then it shows the sum of 54 + m being multiplied by 3 to get to the new balance of $381. This equation most accurately matches with the question.

Part B:

3(m-54) = 381.

You would first divide both sides by 3.

m - 54 = 127

You would now add 54 to both sides.

You now know m = 181.

Answer:

b

Step-by-step explanation:

it makes the most senses the lower the discount the higher the chance

The solution of the system of linear equations, is (1.167, 3.667).

Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,

y = -2x+6............(i)

y = 4x - 1.......(ii)

Equating the equations since the LHS is same,

-2x+6 = 4x-1

6x = 7

x = 1.167

Put x = 1.16 to find the value of y,

y = 4(1.16)-1

y = 4.66-1

y = 3.667

Therefore, the solution of the system of linear equations, is (1.167, 3.667).

You can also find the solution using the graphical method,

Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]

Hence, the solution of the system of linear equations, is (1.167, 3.667).

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Answer:

  y = 2(x +2)^2 -1

Step-by-step explanation:

The vertex form of the equation of a parabola is ...

  y = a(x -h)^2 +k . . . . . vertex (h, k), scale factor "a"

We know the vertex, so we can find the scale factor from the other point.

  1 = a(-1+2)^2 -1 = a -1

  2 = a . . . . . . add 1

The equation of the parabola is ...

  y = 2(x +2)^2 -1

Answer:

113.35

Step-by-step explanation:

Answer:

A) 1 Yellow, 2 Blue

B) 2 Yellow, 1 Blue

Answer:

The slope of the points is (3,3)

Step-by-step explanation:

If you plot both points on a graph and start at the one furthest down on the graph, then go up three and to the right three you get to your second point and you have your slope. Remember going down or to the left makes the slope negative and it is always rise over run.

The z-score of the number of books the newest employee sold is +1.80.

To find the z-score of the number of books the newest employee sold, you will need to know the mean and standard deviation of the number of books sold by the sales staff. You can then use the following formula to calculate the z-score:

z-score = (observation - mean) / standard deviation

Plugging in the values given in the problem, we get:

z-score = (number of books sold - mean) / standard deviation = (+1.80 - mean) / standard deviation

Solving for the number of books sold, we get:

number of books sold = mean + (z-score * standard deviation) = mean + (+1.80 * standard deviation)

number of books sold = +1.80

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Answer:

Mean: 89

Median: 89

Mode: 89

Range: 22

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

Mean-89

Median-89

Mode-89

The value of the double integration is 7776 after solving and integration. the answer is 7776.

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

It is given that:

Double integration (x + y) dA

y = x²

y² = 216x

y = √216 √x

∫∫(√216 √x +  x²)

After solving:

\(\rm \int _0^{36}\int _0^6\:\left(\sqrt{216}\:\sqrt{x}\:+\:\:x²\right)dxdy\)

=7776

Thus, the value of the double integration is 7776 after solving and integration. the answer is 7776.

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Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

Ask you school if they have free tutoring. A lot of schools use the honor students to tutor kids that need help in school.

Step-by-step explanation:

Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

3) In order to determine the interest Joanna will pay, use the following formula:

I = P*r*t

where,

P: principal = $5000

r: interest rate in decimal form = 0.05

t: time in years = 5

Replace the previous values into the formula for I and simplify:

I = ($5000)(0.05)(5) = $1250

Hence, Joanna will pay $1250 in interest

Answer:

+-1, +-2,+-5, +-10

Step-by-step explanation:

you first find all the numbers that can go into the constant which is 10, so negative and positive 1 can go into 10, negative and positive 2 can go into 10 etc.

The possible rational roots of the polynomial equation

\(1,-1} , +\frac{1}{2} , -\frac{1}{2} , +2,-2, +5,-5, +\frac{5}{2} ,-\frac{5}{2} ,+10,-10\)

Given :

The polynomial equation is

\(2x^{9}-3x^{7}+11x+10=0\)

To find out possible rational roots, we use rational root theorem

Rational root of the form

\(\frac{p}{q}\) where p is the constant and q is the leading coefficient

p=10  and q=2

Lets write all the factors of 10  and 2

Factors of 10 are 1,2,5,10

factor of 2 are 1,2

Rational root of the form

\(+- factors of \frac{p}{q} =+-\frac{1,2,5,10}{1,2}\)

We consider both positive and negative factors. Ignore the repeated roots

So possible rational roots are

\(1,-1} , +\frac{1}{2} , -\frac{1}{2} , +2,-2, +5,-5, +\frac{5}{2} ,-\frac{5}{2} ,+10,-10\)

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Step-by-step explanation:

just ratio and need to identify which lines are pairs.

Answer:

Is there any options if so just repost with the options and i will answer it

Step-by-step explanation:

Answer:

the answer is 5 cups. Hope this helps

Answer:

4 cups of oats.

Step-by-step explanation:

That’s 0.4 cups of oats per cup of water. The ratio of the cups of water to the cups of oats is . That’s 2.5 cups of water per cup of oats.

Answer:

48%

Step-by-step explanation:

48/100 = 48%

Edit: the awnser is 64% because 48/75 = 64%

The probability that a customer ordered a medium given that he or she ordered a hot drink is,

⇒ 48%

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

At a coffee shop, the first 100 customers orders were as given.

Now,

Total customer = 100

Order hot median coffee = 48

Thus, The probability that a customer ordered a medium given that he or she ordered a hot drink is,

⇒ 48 / 100

⇒ 0.48

⇒ 48%

Thus, The probability that a customer ordered a medium given that he or she ordered a hot drink is,

⇒ 48%

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