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3 years ago

Multiply and then simplify completely: ( 8 + √ 10 ) ( 8 − √ 10 )

Mathematics

1 answer:

Temka [501]3 years ago

5 0

Answer:

54.

Step-by-step explanation:

( 8 + √ 10 ) ( 8 − √10)

= 8*8 - 8√10 + 8√10 +√10 * -√10

= 64 - 8√10 + 8√10 - 10

The 2 middle turns cancel out so we have:

64 - 10

= 54.

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The track team needs new uniforms. The students plan to sell plush toy tigers (the school mascot) for $5 each. The students find

sasho [114]

Answer:

Company C

Step-by-step explanation:

Company A sells 12 tigers for $33.24.

Cost per tiger = $33.34 / 12

= $2.78

Company B sells 16 tigers for $44.80. Company

Cost per tiger = $44.80 / 16

= $2.8

C charges $41.10 for 15 tigers.

Cost per tiger = $41.10 / 15

= $2.74

The company that has the best buy is company C that charges $2.74 per tiger

8 0

3 years ago

A sequence of transformations is described below horizontal stretch about a vertical line PQ, a translation, another horizontal

crimeas [40]

Answer:

Both angle measures and segment lengths.

Step-by-step explanation:

An angle is a shape formed by two rays that meets at a point. The angle is measured by degrees. The angle is formed by the sides of an angle which shares the common endpoint called the vertex. The line is horizontal stretch with a vertical line PQ. It will measure the angle and segments lengths.

4 0

4 years ago

Read 2 more answers

A small plane flew 240 miles in 2 hours.At that rate how long will it take to travel 600 miles?please so me the work

Furkat [3]

So, in 240 miles can be made by 2 hours.
Do this equation:

240 × 2 = 480 / 4 hours.

You cannot do 3 because it won't fit another 240 miles.

Next, subtract the 480 miles from 600 miles.

600 - 480 = 120

Also, if you would've divided by 2 hours.

240 ÷ 2 = 120 / 1 hour

Add the hours.

4 + 1 = 5 hours

It takes 5 hours to travel 600 miles by the small plane.

4 0

4 years ago

Scott and Letitia are brother and sister. After dinner, they have to do the dishes, with one washing and the other drying. They

ehidna [41]

Answer:

The probability that Scott will wash is 2.5

Step-by-step explanation:

Given

Let the events be: P = Purple and G = Green

$P = 2$

$G = 3$

Required

The probability of Scott washing the dishes

If Scott washes the dishes, then it means he picks two spoons of the same color handle.

So, we have to calculate the probability of picking the same handle. i.e.

$P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)$

This gives:

$P(G_1\ and\ G_2) = P(G_1) * P(G_2)$

$P(G_1\ and\ G_2) = \frac{n(G)}{Total} * \frac{n(G)-1}{Total - 1}$

$P(G_1\ and\ G_2) = \frac{3}{5} * \frac{3-1}{5- 1}$

$P(G_1\ and\ G_2) = \frac{3}{5} * \frac{2}{4}$

$P(G_1\ and\ G_2) = \frac{3}{10}$

$P(P_1\ and\ P_2) = P(P_1) * P(P_2)$

$P(P_1\ and\ P_2) = \frac{n(P)}{Total} * \frac{n(P)-1}{Total - 1}$

$P(P_1\ and\ P_2) = \frac{2}{5} * \frac{2-1}{5- 1}$

$P(P_1\ and\ P_2) = \frac{2}{5} * \frac{1}{4}$

$P(P_1\ and\ P_2) = \frac{1}{10}$

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

So, we have:

$P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)$

$P(Same) = \frac{3}{10} + \frac{1}{10}$

$P(Same) = \frac{3+1}{10}$

$P(Same) = \frac{4}{10}$

$P(Same) = \frac{2}{5}$

8 0

3 years ago

A website streams movies and television shows to millions of users. Employees know that the average time a user spends per sessi

oksian1 [2.3K]

Using the Central Limit Theorem, it is found that since the sample size is greater than 30, a normal approximation can be used, hence the test can be made.

<h3>Central Limit Theorem</h3>

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

In this problem, the distribution of lengths is skewed, however, since the sample size is of 100 greater than 30, a normal approximation can be used, hence the test can be made.

To learn more about the Central Limit Theorem, you can check brainly.com/question/24663213

4 0

2 years ago