In △ABC the points M and N belong to the sides

If r + 14 = -9, what justifies r = -23

kramer

Answer:

you subtract 14 from -9 and that justifies it

Step-by-step explanation:

Hope this helps

8 0

3 years ago

Read 2 more answers

Two married couples have purchased theater tickets and are seated in a row consisting of just 4 seats. If they take their seats

Licemer1 [7]

Answer:

The answer is 0.75.

Step-by-step explanation:

To use probability of a complement event, we need to find the situation where none of the couples are sitting next to each other which can happen either two husbands are sitting in the seats 2 and 3 or two wives are sitting in the seats 2 and 3. Also in the first scenario, the wives would need to be sitting at the opposite ends to their husbands and vice versa for the second scenario.

So there are in total 4 scenarios where no couple is sitting next to each other.

There are a total of 16 different ways that they can be seated so the probability of compelement is 16 - 4 = 12, which is 3/4 of the total, meaning that the probability of at least one of the wives sittting next to her husband is 0.75 or 75%.

I hope this answer helps.

7 0

2 years ago

A company has two manufacturing plants with daily production levels of 5x+14 items and 3x−7 items, respectively. The first plan

Anastasy [175]

Answer:

3x+24 more widgets

Step-by-step explanation:

A company owns two manufacturing plants:

1st plant: 8x+17 widgets;2nd plant: 5x-7 widgets.

To find how many more items the first plant produces daily than the second plant, we have to subtract from the number of widgets the first plant produces the second plant produces. So,

(8x+17)-(5x-7)\\ \\=8x+17-5x+7\ [\text{Eliminate brackets}]\\ \\=(8x-5x)+(17+7)\ [\text{Combine the like terms}]\\ \\=3x+24

hope this helps!

Step-by-step explanation:

4 0

2 years ago

What is the value of 5^3i^9?

Yakvenalex [24]

Answer:

$\displaystyle 125^i$

Step-by-step explanation:

Extended Information on the Complex Number System

$\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\:[all\:multiples\:of\:four]$

I am joyous to assist you at any time.

All work is shown above. ↑

4 0

2 years ago

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 househo

BartSMP [9]

Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

The sample size is n = 120

The mean of the proportion is p = 0.09

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{p(1-p)}{n} }$