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2 years ago

Would this angle be name angle CUE or CUT ?

Mathematics

1 answer:

Goshia [24]2 years ago

6 0

Answer:

$\huge\boxed{\angle\text{CUE}}$

Step-by-step explanation:

We can model what both readings of this angle would be. Angle names are usually formed by taking the two lines that form to intersect this angle at a vertice, and these 3 make up the name.

Angle ∠CUT would be formed by the lines CU and UT. We can see that this is not the case, as the angle is formed by lines CU and CE.

Since they intersect at point U, that means the angle name would be CUE.

Hope this helped!

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Boxes of raisins are labeled as containing 22 ounces. Following are the weights, in the ounces, of a sample of 12 boxes. It is r

ZanzabumX [31]

Answer:

A 90% confidence interval for the mean weight is [21.78 ounces, 21.98 ounces].

Step-by-step explanation:

We are given the weights, in the ounces, of a sample of 12 boxes below;

Weights (X): 21.88, 21.76, 22.14, 21.63, 21.81, 22.12, 21.97, 21.57, 21.75, 21.96, 22.20, 21.80.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean weight = $\frac{\sum X}{n}$ = 21.88 ounces

s = sample standard deviation = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$ = 0.201 ounces

n = sample of boxes = 12

$\mu$ = population mean weight

Here for constructing a 90% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, 90% confidence interval for the population mean, $\mu$ is ;

P(-1.796 < $t_1_1$ < 1.796) = 0.90 {As the critical value of t at 11 degrees of

freedom are -1.796 & 1.796 with P = 5%}

P(-1.796 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.796) = 0.90

P( $-1.796 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.796 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

P( $\bar X-1.796 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.796 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

90% confidence interval for $\mu$ = [ $\bar X-1.796 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+1.796 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $21.88-1.796 \times {\frac{0.201}{\sqrt{12} } }$ , $21.88+1.796 \times {\frac{0.201}{\sqrt{12} } }$ ]

= [21.78, 21.98]

Therefore, a 90% confidence interval for the mean weight is [21.78 ounces, 21.98 ounces].

8 0

3 years ago

Please help me, I have no clue what its asking and I have to explain it in class tomorrow morning

Nat2105 [25]

Answer:

The term was obtained by grouping and adding the all x terms in the expression.

Step-by-step explanation:

The example has already provided this step:

(x -4) +(x +1) +(¼x +5)= $\frac{9}{4} x + 2$

Thus, the question is asking how is $\frac{9}{4} x$ derived from the expression.

The attached picture shows the intermediate working to arrive at the final perimeter expression.

This expression is later equated to 20 since it is given that the perimeter of the traingle is 20 inches.

3 0

3 years ago

Solve for brainless!

Luba_88 [7]

Answer:

15. 1/3 times 1/3 times 1/3 times 1/3 and 1/81

16. 3/4 times 3/4 and 9/16

17. 2 to the 5th power

18. 4 to th2 4th power

19. 2 to the 4th power, 5 to the 2nd power, and 3 to the 3rd power

Step-by-step explanation:

Hope this helps

3 0

3 years ago

If x-9 is a factor of x^2 -5x-36 what is the other factor? A-x-4 B-x+4 C-x-6 D-x+6

poizon [28]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Explain what happens to the cross products when the terms of a proportion are cross multiplied.

Temka [501]

Answer:

The cross product is created

Step-by-step explanation:

A proportion is simply a statement that two ratios are equal. ... In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

I hope this helped :)

6 0

3 years ago