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3 years ago

Describe the characteristics of a prism

Mathematics

1 answer:

HACTEHA [7]3 years ago

4 0

A prisms characteristics are as followed

First, a prism has two faces that are the same in shape and are parallel. those two faces are sometimes called the bases of the prism. Between these two faces are the rest of the sides of the prism which most of the time are rectangles. Prisms are normally named based on the shape of the two parallel faces. For example, a prism with two parallel square faces would be known as a “square based prism” or sometimes just “square prism”. Simple enough , now go out there and ace your test buddy !!

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At a pancake breakfast, children are served 1 pancake and adults are served 3 pancakes. Together, they can be served at most 191

andre [41]

x + 3y <= 191

x = children

y = adults (x3)

So adding those two up must be either less than or equal to 191, as that is all the Chef made.

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3 years ago

Find the value of x. log 3 x = 4 A.) 7 B.) 12 C.) 27 D.) 81

n200080 [17]

Log (base 3) x = 4 can be rewritten as:
3^4 = x
3^4 = 81
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3 years ago

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Adding Integers with Different Signs: -3 + (-7)

RideAnS [48]

Okay so in school I am doing this litterly right now. So all u have to do is when it is a different sign you subtract, when it is the same you add. So think of it as, Different/Difference and Same/Sum. when the sign is different u find the difference and when u have the same sign you find the sum.
Example 1: -3+8= 5
Use the same sign as the largest number
Example 2: 5+(-10)= -5
Hopefully This helped! It is easier then you may think once you get the hang of it! ( You get the hang of it REALLY fast ) :)

7 0

3 years ago

Read 2 more answers

Find the center and radius of the following circle. Then graph the circle.(×+4)2+y2=7

ArbitrLikvidat [17]

Given:

Equation of a circle

$(x+4)^2+y^2=7$

Required:

Find the center and radius of the circle. Then graph of circle.

Explanation:

We have a standard equation of circle

$(x-h)^2+(y-k)^2=r^2$

Whose radius is (h, k) and radius r.

We have equation of a circle

$(x+4)^2+y^2=7$

Now, we will compare with standard equation of a circle

$We\text{ will get center\lparen-4, 0\rparen and radius }\sqrt{7}.$

Graph of circle is

Answer:

Hence, this is the answer.

3 0

1 year 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