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3 years ago

A mirror with a reflecting surface that caves inward is said to be

1 answer:

5 0

C. CONCAVE

A mirror with a reflecting surface that caves inward is said to be CONCAVE.

Clue: caves inward. )(

Convex has an outline of surface that cave outward. It is like the outside of the circle or sphere. ()

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What is the solution set of the compound inequality 3.5x - 10> -3 and 8x -9 <39

Eva8 [605]

I need to answer two questions in order to ask a question. sorry that i’m stupid and have no idea how to do this

5 0

3 years ago

The weight of an adult swan is normally distributed with a mean of 26 pounds and a standard deviation of 7.2 pounds. A farmer ra

Snezhnost [94]

Let $X$ denote the random variable for the weight of a swan. Then each swan in the sample of 36 selected by the farmer can be assigned a weight denoted by $X_1,\ldots,X_{36}$ , each independently and identically distributed with distribution $X_i\sim\mathcal N(26,7.2)$ .

You want to find

$\mathbb P(X_1+\cdots+X_{36}>1000)=\mathbb P\left(\displaystyle\sum_{i=1}^{36}X_i>1000\right)$

Note that the left side is 36 times the average of the weights of the swans in the sample, i.e. the probability above is equivalent to

$\mathbb P\left(36\displaystyle\sum_{i=1}^{36}\frac{X_i}{36}>1000\right)=\mathbb P\left(\overline X>\dfrac{1000}{36}\right)$

Recall that if $X\sim\mathcal N(\mu,\sigma)$ , then the sampling distribution $\overline X=\displaystyle\sum_{i=1}^n\frac{X_i}n\sim\mathcal N\left(\mu,\dfrac\sigma{\sqrt n}\right)$ with $n$ being the size of the sample.

Transforming to the standard normal distribution, you have

$Z=\dfrac{\overline X-\mu_{\overline X}}{\sigma_{\overline X}}=\sqrt n\dfrac{\overline X-\mu}{\sigma}$

so that in this case,

$Z=6\dfrac{\overline X-26}{7.2}$

and the probability is equivalent to

$\mathbb P\left(\overline X>\dfrac{1000}{36}\right)=\mathbb P\left(6\dfrac{\overline X-26}{7.2}>6\dfrac{\frac{1000}{36}-26}{7.2}\right)$
$=\mathbb P(Z>1.481)\approx0.0693$

5 0

2 years ago

A water bottle holds 3 1/3 c of water. A bowl holds 2 1/4 times the amount in the water bottle. How much water does the bowl hol

kodGreya [7K]

First you would put both numbers into improper fractions.

3 1/3 = 10/3 and 2 1/4 = 9/4

Multiply 10/3 * 9/4

10*9 = 90 and 3 * 4 =12

So 90/12 is your fraction. Reduce it, 7 6/12

7 6/12 = 7 1/2

So your answer is 7 1/2

Hope I helped :)

7 0

3 years ago

Use the equation y = q + 3 to find the value of y when q = 1.

nikitadnepr [17]

Answer:

It’s 4

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

PLZZ answer number 4 I will give you 100 pointd for andwring both parts

elena-s [515]

there are total 3 diffrent shades

because

(i) A = C = 1/2 so one shade

(ii) B=D =F = 2/3 so one shade

(iii) E = 5/8 one shade

so total 3 different shade

b )

(i) y = 1/2 b

(ii) y = (2/3) b

(iii) y = 5/8 b

5 0

3 years ago