If y = 3x - 4 and the domain is {-3,-1,4}, find the range.

Answers

Answer 1

Answer: We could put the domain into the x values to get the y values (range).

y = 3(-3) - 4
y = -9 - 4
y = -13

y = 3(-1) - 4
y = -3 - 4
y = -7

y = 3(4) - 4
y = 12 - 4
y = 8

Answer 2

Answer: y = 3(-3) - 4 = -9 - 4 = -13
y = 3(-1) - 4 = -3 - 4 = -7
y = 3(4) = 4 = 12 - 4 = 8

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Sandy works at a clothing store. She makes $8 per hour plus earns 10% commission on her sales. She worked 77 hours over thelast two weeks and had a total of $2,708 in sales before taxes.Which of the following is closest to how much she will earn in hourly wages and commission for those two weeks?OA. $616OB. $271C. $332D. $887

Lines c and d are perpendicular. If the slope of like c is -4, what is the slope of line d?A. 4
B. -1.4
C. -4
D. 1/4

Answers

Answer:

A 4

Step-by-step explanation:

-1/-4 = 4

Which pairs of polygons are congruent?

Answers

Answer: The polygons are congruent when they are the mirror image of each other. They are equal in shape and size. They have equal number of sides. All the corresponding sides and corresponding angles are equal. It is different from similar polygons which have same shape but not necessary to have same size.

Congruent means the same so all you need to do is find the pair of polygons that look identical or the same.

Here is a list of numbers: 12, 13, 19, 16 ,32, 15, 13.a)work out the range of the numbers in the list.
b)work out the mean of the numbers in the list

Answers

The range of the numbers in the list is 20 and the mean of the numbers in the list is 17.14

Work out the range of the numbers in the list.

To calculate the range of the numbers in the list, subtract the smallest number from the largest number:

Range = Largest number - Smallest number

Range = 32 - 12 = 20

Work out the mean of the numbers in the list

To calculate the mean of the numbers in the list, add all the numbers and divide by the total number of numbers:

Mean = (12 + 13 + 19 + 16 + 32 + 15 + 13) / 7 = 120 / 7

Mean ≈ 17.14

Answers

Answer:

The probability that fewer than 10 in a sample of 200 pills will be ineffective is 0.4364

∴ P(X<10)=0.4364

Step-by-step explanation:

Given that the total number of sample pills is 200

ie., n=200

To find the probability that fewer than 10 in a sample of 200 pills will be ineffective:

Let us assume it success if a pill is ineffective.

The probability of success in each trial is $p=5\%$

$p=5\%$

$p=(5)/(100)$

$=0.05$

∴ p=0.05

We know that the total probability is p+q=1

The probability of failure is q

q=1-p

q=1-0.05

∴ q=0.95

Let X be the random variable of the number of ineffective pills in a sample of 200 pills.

Hence X has Binomial distribution with parameter n=200 and p=0.05

The formula for Mean in Binomial distribution is

$\mu=np$

Substitute the values in the above formula we get

$\mu=200(0.05)$

∴ $\mu=10$

The formula for Standard deviation in Binomial distribution is

$\sigma=√(npq)$

Substitute the values in the above formula we get

$\sigma=√((200)(0.05)(0.95))$

$=√(9.5)$

$=3.082$

∴ $\sigma=3.082$

Now we have to find the probability that fewer than 10 in a sample of 200 pills will be ineffective.

That is to find the area to the left of x=9.5

The formula is $z=(x-\mu)/(\sigma)$

Substitute the values in the formula we get

$z=(9.5-10)/(3.082)$

$=(-0.5)/(3.082)$

$=-0.16$

∴ $z=-0.16$

Now P(X<10)=P(Z<-0.16)

=0.4364

∴ P(X<10)=0.4364

Therefore the probability that fewer than 10 in a sample of 200 pills will be ineffective is 0.4364

Final answer:

The probability that fewer than 10 out of 200 birth-control pills will be ineffective is approximately 0.817, or 81.7%.

Explanation:

Probability is a mathematical concept used to quantify the likelihood of an event occurring. It ranges from 0 (impossible) to 1 (certain). It plays a crucial role in statistics and decision-making, helping to predict outcomes, assess risk, and make informed choices. To find the probability that fewer than 10 in a sample of 200 birth-control pills will be ineffective, we can use the binomial probability formula:

P(X < 10) = Σ (n choose k) * p^k * (1-p)^(n-k), where:

n = sample size = 200,

k = number of ineffective pills,

p = probability of a pill being ineffective = 0.05.

Calculating this probability using the formula, we get:

P(X < 10) ≈ 0.817, or 81.7%.

Learn more about Probability here:

brainly.com/question/32117953

#SPJ6

Which of the following is an infinite set?the set of lessons in this course
the set of even numbers from 0 to 10
10 billion
the set of integers
the null set
none of the above

Answers

The set of integers is an infinitive set, whereas the other options are not infinite.

How would you find the volume of the solid in the figure shown above?A. Use the formula for the volume of a frustum.
B. You can only find an approximate volume of this figure.
C. Use the formula for the volume of a prismoid.
D. Divide it into solids whose volumes you can find.

Answers

The answer is D and it's pretty simple to do:

$V_(1)=a*b*c\n V_(2)= \pi r^(2) h\n V_(3)= (1)/(3) \pi r^(2)h$

Answer:

Step-by-step explanation:

Divide it into solids whose volumes you can find.

took the pennfoster test was correct

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