What times what is 448

Dr. Smith gives his staff a 13 bonus if they exceed the quarterly goal. This quarter, they exceeded the goal by $1,500.

LuckyWell [14K]

Here is what you have to take into account:
The first thing you need to do is to take the 1,500$ and then divide it by 3. That will give you 500. After that you need to add 500 to the original 1500 and it should give you 2000$. The answer is 500 if you only are looking for the bonus and 2000 if you want the total bonus.

3 0

4 years ago

5. The mall and library are 8 miles apart. On a map, the two buildings are 2 inches apart. How many miles does 1 inch represent

sammy [17]

4 miles represent one inch on the map.

This is because since they are 8 miles apart, and 2 inches in the map, and you want to find out how many miles per inch. You divide 8 by 2 because you want to divide how many miles by how many inches so that you can get 2 parts. That's how you get four.
Now that you cut 8 miles into two parts, you have halves, and half of eight is 4. And 1 inch represents that half since 1 + 1 equals 2 and 4 miles represents each of the two parts since 4+4 equals 8.

5 0

4 years ago

Point X : (7, 3) is transformed in each of the following situations. Find

VashaNatasha [74]

Answer:

A rotation of 90o centered at the origin.

4 0

3 years ago

Read 2 more answers

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Arada [10]

Answer: 1) y = 4x + 5

2) y = 3x + 2

3) y = (-5/6)x + 1/3

Step-by-step explanation:

Use the Point-Slope equation: y - y₁ = m(x - x₁) where

(x₁, y₁) is a point on the line
m is the slope

(x₁, y₁) = (-1, 1) m = 4

y - 1 = 4(x + 1)

y - 1 = 4x + 4

y = 4x + 5

(x₁, y₁) = (1, 5) m = 3

y - 5 = 3(x - 1)

y - 5 = 3x - 3

y = 3x + 2

(x₁, y₁) = (-2, 2) m = -5/6

y - 2 = -5/6(x + 2)

y - 2 = (-5/6)x - 5/3

y = (-5/6)x + 1/3

4 0

3 years ago

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

natima [27]

Answer:

Step-by-step explanation:

Given that:

A study is conducted and the study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands.

a)

Thus; we formulate the null and the alternative hypotheses as follows:

The proportion is ; $\frac{64}{100}$ = 0.64

Null hypothesis: ${H_0}:p = 0.64$

The Null hypothesis states that there is no evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

Alternative hypothesis: ${H_a}:p \ne 0.64H$

The Alternative hypothesis states that there is evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

b)

The proportion of the population = 0.64

The sample size n = 100

The number of shoppers = 52 stating that the supermarket brand was as good as the national brand

The sample proportion $\hat p = \frac{52}{100}$

$\hat p = 0.52$

The z - value is calculated by the formula:

$z = \dfrac{\hat p-p}{\frac{\sqrt{ p(1-p)}}{100 }}$

$z = \dfrac{0.52-0.64}{\frac{\sqrt{ 0.64(1-0.64)}}{100 }}$

$z = \dfrac{-0.12}{0.048 }}$

z = -2.50

Since z = -2.50

the p-value = 2P(Z ≤ -2.50)

p-value = 2 × 0.0062

The p-value = 0.0124

c)

At significance level, ∝ = 0.05 ; The p-value = 0.0124

According to the rejection rule, if p-value is less than 0.05 then we will reject null hypothesis at ∝ = 0.05

Hence, the p-value =0.0124 < ∝ (=0.05)

According to the reject rule; reject null hypothesis.

Conclusion: There is no evidence at all that the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%.

d) we know that the significance level of ∝ = 0.05

The value ${z__{0.05}}$ is obtained as:

$P\left( {\left| Z \right| \le z} \right) = 0.05$

Now; to determine Z ; we locate the probability value of 0.05 form the table of standard normal distribution. Then we proceed to the left until the first column is reached and the value is 1.90. Also , we move upward until we reach the top and the value is 0.06. Now; the intersection of the row and column results the area to the left of z

This implies that : $P(Z \leq -1.96)=0.05$

The critical value for left tail is -1.96 and the critical value for right tail is 1.96.

Conclusion:

The critical value is -1.96 and the value of test statistic is - 2.50. Here, we can see that the value of test statistic is lesser than the critical value. Hence, we can be concluded that there is evidence that reject the null hypothesis.

Therefore, Yes, the national brand ketchup manufacturer is pleased with the conclusion.

5 0

3 years ago