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4 years ago

$ 65 is marked up to $70.20

1 answer:

5 0

You can work out the difference between the numbers by taking the smaller one away from the larger one:
70.20 - 65 = 5.20

Then you can divide the difference (5.20) by the original number (65) to get how many percent it is of 65 in decimal form:
5.20/65 = 0.08

Then you can times it by 100, to get the percentage:
0.08 * 100 = 8%

This means there was a 8% price increase in $65 to get to $70.20

Hope this helps! :)

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John Cell bookbags.He sells a leather bag for $69.80 and the sales tax is 6% of the sale price about how much is a sales tax on

pogonyaev

Thw sale tax will be $ 418.80 on the book bag

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4 years ago

21 – 8(w + 3) + 3 + 7w

Naddika [18.5K]

Answer: -w

Step-by-step explanation:

21 – 8(w + 3) + 3 + 7 w

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3 years ago

A new sales training program has been instituted at a rent-to-own company. Prior to the training, 10 employees were tested on th

Lunna [17]

Answer:

C. H0: µD = 0, HA: µD <0

Step-by-step explanation:

We assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. So for this case is better apply a paired t test.

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.

Let put some notation

x=test value for pretest , y = test value for posttest

x: 66, 94, 87, 84, 76, 88

y: 75, 100, 93, 85, 75, 90

The system of hypothesis for this case are:

Null hypothesis: $\mu_D \geq 0$

Alternative hypothesis: $\mu_D < 0$

Because the difference D is defined as Pretest-Postest. And we want to see if the postets score is higher than the pretest with th training.

The first step is calculate the difference $d_i=x_i-y_i$ and we obtain this:

d: -9, -6, -6, -1, 1, -2

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{-23}{6}=-3.833$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =3.763$

The 4 step is calculate the statistic given by :

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-3.833 -0}{\frac{3.763}{\sqrt{6}}}=-2.494$

The next step is calculate the degrees of freedom given by:

$df=n-1=6-1=5$

Now we can calculate the p value, since we have a left tailed test the p value is given by:

$p_v =P(t_{(5)}$

The p value is lower than the significance level assumed $\alpha=0.05$ , so then we can conclude that we can reject the null hypothesis. So we can say that the differences between Pretest and Posttest $\mu_{pretest}-\mu_{postest}$ are less than 0.

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3 years ago

Given the directrix of y = -1 and focus of (0, 3), which is the equation of the parabola?

guajiro [1.7K]

Answer:

$y=\dfrac{1}{8}x^2+1$

Step-by-step explanation:

Since the vertex is right between the vertex and the directrix, the y value of the vertex must be (3+(-1))/2=1. The x coordinate will just be the same as that of the focus, or in this case 0. This means that the vertex will be at (0,1). Since the graph opens toward the focus, it will be opening up, and since its vertex is at (0,1), it will have an equation of:

$y=\dfrac{1}{8}x^2+1$

Hope this helps!

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4 years ago

Partway through the season, a basketball coach promises his team that he will take them to a water park if they reach 1,000 poin

Anni [7]

The first thing we must do in this case is to define variables:
a = number of total points
b = number of remaining games
c = number of points scored
x = number of points per game.
The linear equation is:
a = bx + c
Substituting the values:
1000 = 9x + 424
Answer:
An equation that is used to find the average number of points, x, the team needs to score in each of the remaining games to meet their goal is:
1000 = 9x + 424

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4 years ago