Consider the function graphed below.

What is the average rate of change of the function over the interval [1, 3] ?

A.36

B. 48

C.72

D.96

Answer:

The probability that exaclt x of the members are union members from the n interviewed is given by:

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

Step-by-step explanation:

For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

About 96% of all workers employed by the university belong to the workers' union.

This means that [tex]p = 0.96[/tex]

What is the probability that exactly of the workers interviewed are union members

We want probability of x, from n workers interviewed. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

Answer:

I think 4

Step-by-step explanation:

1/3 is how many are yellow. so if u do 12/3=4

Answer:

4

Step-by-step explanation:

1/3 is equivalent to 4×1 and 2/3 is equivalent to 4×2 and 3/3 is equivalent to 4×3 which equals 12 so there are 4 counters that are yellow.

Answer:

80-14= 66

66

11x6= 66

So she can get 11 pairs of earrings

I think I’m doing this wrong but I hope this gives u an idea

Step-by-step explanation:

Answer:

She can buy 11 pairs

Step-by-step explanation:

$80-14=66

Each costs 6, so 66/6=11

Sarah can buy 11 pairs.

Answer:

176 tiles

Steps by step:

Answer:

2.8

Step-by-step explanation:

Answer:

30.8/11=2.8

11/30.8=0.357142857

Step-by-step explanation:

give me brainlest please

Answer:

Understanding basic business math is necessary for profitable operations and accurate record keeping. Knowing how to add, subtract, multiply, divide, round and use percentages and fractions is the minimum you need to price your product and meet your budget.

Answer:

256 cups

Each gallon has 16 cups so 16 gallons would have 16*16 cups. 16*16 = 256

Answer:

aw ty but is there a question?

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

divide numerator and denominator by 16

32÷16=2

48÷16=3

answer is 2/3

Thus, 2/3 is the simplified fraction for 32/48 by using the GCD or HCF method. Thus, 2/3 is the simplified fraction for 32/48 by using the prime factorization method.

Answer: 3.66

Step-by-step explanation:

18.3 divided by 15

Answer:

601 buyers must be surveyed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How many Windstar buyers must be surveyed if we want to be 95% confident that the sample percentage is within four percentage points of the true percentage for all Windstar buyers?

We need to survey n buyers. n is found when [tex]M = 0.04[/tex]. We dont have an estimate for the proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]

[tex]n = 600.3[/tex]

Rounding up

601 buyers must be surveyed.

Answer:

centralisation mean a direction explain that we often  a high how well we cancan predict future actions of others.

Step-by-step explanation:

Answer:

x = 25°

Step-by-step explanation:

The sum of the interior angles of a triangle = 180°

180° = 35° + x° + x + 95°

2x° = 50°

x = 25°

Answer:

I don't see the two statements

Step-by-step explanation:

Answer:

A and E Usa test prep

Step-by-step explanation:

I know it might be late by now but this is for the people who are searching for the answer for the future

Answer: I will go with A  or you can choose d if you want

Step-by-step explanation:

Answer:

1 1/2 hr

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Because if he picks b which is only from his own town the rest of the states will not be included. If he pick only from his own states then he only represents his own states and for d 5 local grocery store we don't know which country it represents A is the correct answer.

The sample which Javier use to get results is a random sample of 1,000 people from each of the 50 states.

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

Here, sample which Javier will ask a survey question to determine the average number of times per month people around the United States shop for groceries.

To find the sample, which Javier use to get results that are the most representative of the total population, we have to check all the options.

Lets, check all the options,

Hence, the sample which Javier use to get results is a random sample of 1,000 people from each of the 50 states.

Learn more about the random sample here;

https://brainly.com/question/17831271

Answer: b. 8

Step-by-step explanation: I don’t have work

The radius of the circle in inches should be considered as the 8 when the measurement of the central angle is given.

Since

The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees.

Also we know that

Area of the sector = [tex]65 / 360 *[/tex] Area of circle

[tex]104\pi \div 9 = 65\div 360 (\pi r^2)\\\\104\div 9 = 65\div 360 r^2\\\\[/tex]

r = 8

Hence, The radius of the circle in inches should be considered as the 8.

Learn more about circle here: https://brainly.com/question/15593101

Answer:

25b3a+93b+60a=30a2+b2

Step-by-step explanation:

the length of the major axis is equal 2 · 7 = 14

Step-by-step explanation:

Nun

Answer:

3. A = (0,-3)

   B = (4,-2)

   C = (-1,1)

4. A = (0,-6)

   B = (4,-5)

   C = (-1,-2)

Step-by-step explanation:

3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).

4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.

So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).

I hope this helped you.

your answers:

3. A = (0,-3)

  B = (4,-2)

  C = (-1,1)

4. A = (0,-6)

  B = (4,-5)

  C = (-1,-2)

Answer:

definitely A

Step-by-step explanation:

10 degrees. hope this helps lovely <3

Answer:

Perimeter is 126cm and area is 972[tex]cm^2[/tex]

Step-by-step explanation:

Scale factor means you multiply the dimensions by the factor. In this case 4.5

The width 6cm becomes 27cm. The length 8cm becomes 36cm.

Perimeter = 2*L + 2*W, L is length and W is width.

[tex]P=27*2cm+36*2cm\\P=54cm+72cm\\P=126cm[/tex]

Area = L*W

[tex]A=27cm*36cm\\A=972cm^2[/tex]

Answer:5 1/2 hours

Step-by-step explanation:

Answer/Step-by-step explanation:

Based on the inscribed angle theorem, any inscribed angle = ½ of its intercepted arc

Thus:

✔️Inscribed angle = 57°

Intercepted arc would be: 2*57 = 114°

✔️Intercepted arc would be: 123°

Inscribed angle = ½(123) = 61.5°

✔️Intercepted arc would be: 46°

Inscribed angle = ½(46) = 23°

✔️Inscribed angle = 69°

Intercepted arc would be: 2*69 = 138°

✔️Intercepted arc would be: 155°

Inscribed angle = ½(155) = 77.5°

Answer:

The amount of yarn changes at 0.5 yards per hour.

Step-by-step explanation:

Since Kendra knits hats, and she starts with 3 3/4 yards of yarn, but after knitting for 5 1/4 hours, there is 1 1/8 yards of yarn left, to determine at what rate does the amount of yarn change the following calculation must be performed:

3/4 = 0.75

1/4 = 0.25

1/8 = 0.125

3.75 - 1.125 = 2.625

2.625 / 5.25 = 0.5

Thus, the amount of yarn changes at 0.5 yards per hour.