Multiply. Express your answer as a fraction in simplest form. 8.33 x 144

Solve the equation. Check your solution. k/-8=2

Lapatulllka [165]

Multiply both sides by -8 to get k = -16
To check the solution, plug in -16 into the original equation. You do in-fact get 2

4 0

3 years ago

Janice Went to five different stores in the mall, she spent an average of $30 at each store. After visiting just the first four

777dan777 [17]

Based on Janice average, she spent $50 at the last store.

Let a, b, c, d, e represent the money spent on the five stores respectively.

Since she spent an average of $30 at each store, hence:

(a + b + c + d + e) / 5 = 30

(a + b + c + d + e) = 150

She spent $100 on the first four stores, hence:

a + b + c + d = 100

(a + b + c + d + e) = 150

100 + e = 150

e = 50

Hence based on Janice average, she spent $50 at the last store.

Find out more at: brainly.com

6 0

3 years ago

Select all the statements below that are true of the following graph of the polynomial.

Serggg [28]

To find:

We need to comment on the following points of the given graph:

Step by step solution:

1) Type of function (odd / even):

If the function is odd then the graph is symmetrical about the origin.

Upon observing this graph we can see that the given graph is symmetrical about the origin, So it is an odd function.

2) To check whether (x-2) is a factor of the equation:

If (x-2) is the factor of the equation, then x = 2 should be the root of the the equation

Upon observing the graph, we can see that the graph cut the x axis at x = 2, So (x-2) is the factor of the equation.

3) To check whether there are 5 zeroes or not:

If there are 5 zeroes of the graph, the graph should cut the x - axis for 5 times.

Upon observing the graph we can see that the graph cut the x - axis for 5 times, thus it has 5 zeroes.

4) To check whether there are same amount of relative minimums as relative maximums:

Upon observing the graph we can see that there are 2 relative minimums and 2 relative maximums.

So we can see that there are same amount of relative maximums and minimums.

5) To check whether there is a relative minimum at (-1,-3)

To have a relative minimum at (-1,-3) there should be a minima at (-1,-3)

Upon observing the graph we can see that there is no minima at (-1,-3), So it there is no relative minimum at (-1,-3)

From here we can say that, 1,2,3,4 are the 4 correct options for this equation.

7 0

2 years ago

A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name br

Marianna [84]

Answer:

The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance

The alternative hypothesis is accepted at a 0.05 level of significance

The manager of Publix in Clemson believes 64% is too high for his own store

Step-by-step explanation:

Step:-1

Given that the consumer Reports showed that 64% of supermarket shoppers.

Given that the population proportion

P = 0.64

Given that random sample size 'n' = 100

Given that 52 believe the supermarket brands were as good as the national brands.

sample proportion

$p^{-} = \frac{x}{n} = \frac{52}{100} = 0.52$

Step:-2

Null hypothesis: The manager of the Publix in Clemson believes 64% is too low for his own store

μ < 0.64

Alternative Hypothesis:H₁:μ > 0.64

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.52-0.64}{\sqrt{\frac{0.64 X 0.36}{100} } }$

Z = -2.5

Level of significance = 0.05

Z₀.₀₅ = 2.326

The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance

Final answer:-

The null hypothesis is rejected at a 0.05 level of significance

The alternative hypothesis is accepted at a 0.05 level of significance

3 0

3 years ago

What is the median of 32, 28, 20, 33, and 22

Svetlanka [38]

Answer:28

Step-by-step explanation:

Re-arrange either ascending or descending order

20,22,28,32,33

The middle one is 28

Let's Re-arrange in descending

33,32,28,22,20

Same thing as the first step 28

6 0

3 years ago

Read 2 more answers