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Novosadov [1.4K]

3 years ago

15

If two sides of one triangle are proportional to two sides of another and included angles are equal, then the triangles are simi

lar. True False

1 answer:

tiny-mole [99]3 years ago

8 0

Yes the triangles are similar. It’s true

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In a random sample of 18 families, the average weekly food expense was $95.60 with a sample standard deviation of $22.50. Determ

shepuryov [24]

Answer:

t-distribution should be used to construct a confidence interval.

Step-by-step explanation:

We are given that a random sample of 18 families, the average weekly food expense was $95.60 with a sample standard deviation of $22.50.

We have to determine whether a normal distribution (Z values) or a t- distribution should be used or whether neither of these can be used to construct a confidence interval.

<em><u>Since in this question we are provided with;</u></em>

Sample average weekly food expense, $\bar X$ = $95.60

Sample standard deviation, s = $22.50

Sample of families, n = 18

The distribution that we will use here to construct a confidence interval will be <u>t-distribution</u> because in the question we don't know anything about population standard deviation $(\sigma)$ .

Normal distribution is used when we know population standard deviation $(\sigma)$ .

So, the pivotal quantity for confidence interval that will be used is One-sample t-test statistics;

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

Therefore, t-distribution should be used to construct a confidence interval.

3 0

3 years ago

John is trying to drain a swimming pool. He has two pumps, but he can only use one at a time. He knows that the time a pump take

xeze [42]

What do you mean this sentence?
the time a pump takes to drain the pool varies inversely with the power in watts of the pump,
The meaning would be : if we have a power in watts greater the time to drag the pool will be less because the relation between power and time is inverse.

40 watts--------------5 hours)
100 watts------------ x

because the relation between power and time is inverse, we multiply directly.
40 watts(5 hours)=100 watts x
x=(200 watts hours) / 100 watts=2 hours.

Answer: the time would be 2 hours. (the new pump is faster)

8 0

3 years ago

A)Loss is denoted by a negative integer and profit is denoted by a positive integer. A

Blizzard [7]

Hi I am here to help the answer is 46-90

6 0

3 years ago

Directions: Simplify the following expressions using the imaginary number.

drek231 [11]

Answer:

1 i(sqrt5)

2 7i

3 -9i

4 -64i

5 -5i(sqrt2)

6 -4i(sqrt3)

7 10i(sqrt3)

8 2i(sqrt2)

9 3i(sqrt7)

10 -30i(sqrt2)

Step-by-step explanation:

i is the square root of (-1). We can simplify each one as such.

5 0

2 years ago

Find the x in the given triangle and at last do the proof...please help

viva [34]

Answer:

x = 42.67

Step-by-step explanation:

5 0

3 years ago