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3 years ago

F(x) = -3(x-1) find f(o).

Mathematics

2 answers:

erik [133]3 years ago

7 0

Answer:

f(0) = 3

Step-by-step explanation:

f(x) = -3(x-1)

Put x as 0 and solve.

f(0) = -3(0-1)

Solve the brackets.

f(0) = -3(-1)

Multiply both terms.

f(0) = 3

navik [9.2K]3 years ago

5 0

Answer:

f(0) = 3

Step-by-step explanation:

Step 1: Distribute

f(x) = -3x + 3

Step 2: Plug in

f(0) = -3(0) + 3

f(0) = 3

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Solve 3x/5=1/6 <br> can someone help pls i dont get it

Kamila [148]

Answer:

x=5/18

Step-by-step explanation:

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2 years ago

A market research team thinks that their new ad campaign is better than their old one. They used to be able to sell to 50% of th

andreev551 [17]

Answer:

a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.

Step-by-step explanation:

They used to be able to sell to 50% of those who saw their ads. Test if the new campaign is better.

At the null hypothesis, we test is it is the same, that is, the proportion is the same.

$H_0: p = 0.5$

At the alternate hypothesis, we test if it is significantly better, that is, the proportion is above 50%.

$H_1: p > 0.5$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that $\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5$

They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product.

This means that $n = 100, X = \frac{60}{100} = 0.6$

Test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.6 - 0.5}{\frac{0.5}{\sqrt{100}}}$

$z = 2$

The test statistic is 2.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted the by p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

The p-value of the test is 0.0228 > 0.01, which means that we cannot conclude that the new ad campaign is signficantly better, so the correct answer is given by option A.

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3 years ago

Which is greater -1/4 or -1/2

oksian1 [2.3K]

Answer:

-1/4 > -1/2

Step-by-step explanation:

-1/2 = -2/4

and -1/4 is greater than -2/4

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3 years ago

Camille is working in craft class to create new pillows for her room. Each pillow will be made from exactly 36 in2 of material.

Ann [662]

The best design for Camille is the one in which the area matches the total of material she wants to use for each pillow.

<h3>What should Camille consider for her design?</h3>

Camille's main restriction is the material per pillow since she needs every pillow to use only 36 inches of material. Due to this, she needs to make sure the design meets this requirement.

<h3>How to determine how much material each design requires?</h3>

The best method for this is to calculate the area of the design by using the sides. Here are the most common formulas:

Triangular design: Base x height/ 2
Squared or rectangular design: side x side
Circular design: A = π r²

Based on this, the best design is the one that adjusts to the material available.

Note: This question is incomplete because there is no information about the designs; due to this, I answered it based on general knowledge.

Learn more about area in: brainly.com/question/16151549

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2 years ago

Mikaela travels 15 blocks on her skateboard in 5 minutes. At this speed, how many blocks can she travel on her skateboard in 12

Alchen [17]

Answer:

36 blocks.

Step-by-step explanation:

We have been given that Mikaela travels 15 blocks on her skateboard in 5 minutes. We are asked to find the number of blocks that she can travel on her skateboard in 12 minutes.

We will use proportions to solve our given problem.

$\frac{\text{Blocks traveled}}{\text{Time taken}}=\frac{15}{5}$