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Simora [160]
3 years ago
13

CAN YOU HELP ME PLEASE!!

Mathematics
1 answer:
timama [110]3 years ago
8 0
1. 20 cm by 20 cm by 6 cm
2. 40 cm by 30 cm by 2 cm
Hope this helps
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A random sample of 25 boxes of cereal have a mean of 372.5grams and a standard deviation of 15 grams. Does an average box of cer
ss7ja [257]

Using the t-distribution, it is found that since the <u>test statistic is less than the critical value for the right-tailed test</u>, there is not enough evidence to conclude that an average box of cereal contain more than 368 grams of cereal.

At the null hypothesis, it is <u>tested if the average box of cereal does not contain more than 368 grams</u>, that is:

H_0: \mu \leq 368

At the alternative hypothesis, it is <u>tested if it contains</u>, that is:

H_1: \mu > 368

We have the <em>standard deviation for the sample</em>, hence, the t-distribution is used to solve this question.

The test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • s is the standard deviation of the sample.
  • n is the sample size.

In this problem, the values of the <em>parameters </em>are: \overline{x} = 372.5, \mu = 368, s = 15, n = 25.

Hence, the value of the <em>test statistic</em> is:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{372.5 - 368}{\frac{15}{\sqrt{25}}}

t = 1.5

The critical value for a <u>right-tailed test</u>, as we are testing if the mean is greater than a value, with a <u>significance level of 0.05,</u> with 25 -1 = <u>24 df</u>, is of t^{\ast} = 1.71.

Since the <u>test statistic is less than the critical value for the right-tailed test</u>, there is not enough evidence to conclude that an average box of cereal contain more than 368 grams of cereal.

You can learn more about the use of the t-distribution to test an hypothesis at brainly.com/question/13873630

6 0
2 years ago
The table shows the values of y for each value of x. x y 2 1 3 1 4 -3 3 -3 Part A: Does the table represent a relation that is a
LUCKY_DIMON [66]
Part A:

The given values in form of ordered pairs are:
(2,1), (3,1), (4,-3), (3,-3)

A relation can be a function if one value of x is paired with exactly one value of y. In this case, x value of 3 is paired with two y values 1 and -3. So this relation is not a function.

Part B:

f(h) = 15h + 5
f(8) can be found by substituting h=8 in above equation. 
So,
f(8) = 15(8) + 5 = 125
h represents the number of hours and f(h) represents the earnings of Kylie. So f(8) shows that Kylie earned $125 from 8 hours of work in the cafe

Part C:

For r hours of work, we can write:
f(r) = 15r + 5
So, the ordered pair can represent this relation as:
(r, f(r))
or
(r, 15r+5)
7 0
3 years ago
I WILL AWARD BRAINLIEST!! PLEASE HELP!!!
mr Goodwill [35]

Answer:

ADB is the same as BDC because both sets of those angles make a triangle that look exactly the same. It has the same area and shape.

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=A%28x%29%3D3%5E2" id="TexFormula1" title="A(x)=3^2" alt="A(x)=3^2" align="absmiddle" class="la
kogti [31]
It is good equation. Look, that:
81 = 3 x 3 x 3 x 3 = 3^4.
So you have to solve:
3^x = 3^4 
exponents have to be the same, so
x=4
That's mean that A(4) = 81

5 0
3 years ago
Read 2 more answers
What is the square root of 4761?
Ira Lisetskai [31]

Answer:

its 69 i think

Step-by-step explanation:

7 0
3 years ago
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