247 times 10 to the second power

Select all numbers that are sulutions to the inequality w>5

sertanlavr [38]

<h3>W is any number greater than 5</h3>

<em>Because there is a sign of greater than between w and 5</em>

So, By this info we can say that; Option A, Option D, Option E are correct!

8 0

3 years ago

Read 2 more answers

According to the National Beer Wholesalers Association, U.S. consumers 21 years and older consumed 26.9 gallons of beer and cide

motikmotik

Answer:

Kindly check explanation

Step-by-step explanation:

If the null is rejected, then we conclude that the average Consumption of beer and cider by customers who are 21 years and above is greater than 26.1

A type 1 error is committed if the null hypothesis is incorrectly rejected ; this means we will be concluding that customers who are 21 years and older have higher average Consumption when they actually do not. This may lead to a restriction on beer consumption in the city when there actually isn't a need for it.

For type 2 error, a false null is incorrectly accepted, in this scenario, we are saying that the consumption of beer and cider is not beyond the mean value when in actual sense it is.

3 0

3 years ago

Ten less than half of a number(x) is 6.

Likurg_2 [28]

Answer:

x = 32

Step-by-step explanation:

Given the following data;

Unknown number = x

Translating the word problem into an algebraic equation, we have;

$\frac {x}{2} - 10 = 6$

Lowest common denominator (LCD) = 2

We multiply all through by 2;

$2* \frac {x}{2} - 2*10 = 2*6$

$x - 20 = 12$

$x = 12 + 20$

x = 32

Therefore, the unknown number is 32.

3 0

3 years ago

A square is inscribed in a right triangle with leg lengths 6 and 8 such that they have a common right angle. find the square's s

DaniilM [7]

The square's side length is 24/7 or 3.428 units if the square is inscribed in a right triangle with leg lengths 6 and 8 such that they have a common right angle.

<h3>What is a right-angle triangle?</h3>

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

First we have to find the line that goes through the points (0, 6) and (8, 0)

(y - 0) = (0-6)/(8-0)(x-8)

y = (-6/8)[x - 8]

Plug y = x

x = (-6/8)[x - 8]

After solving:

x = 24/7 or 3.428

y = 24/7 or 3.428

Thus, the square's side length is 24/7 or 3.428 units if the square is inscribed in a right triangle with leg lengths 6 and 8 such that they have a common right angle.

Learn more about the right angle triangle here:

brainly.com/question/3770177

#SPJ1

6 0

2 years ago

A new battery's voltage may be acceptable (A) or unacceptable (U). A certain flashlight requires two batteries, so batteries wil

klio [65]

Answer:

The probability that you test exactly 4 batteries is 0.0243.

Step-by-step explanation:

We are given that a new battery's voltage may be acceptable (A) or unacceptable (U). A certain flashlight requires two batteries, so batteries will be independently selected and tested until two acceptable ones have been found.

Suppose that 90% of all batteries have acceptable voltages.

Let the probability that batteries have acceptable voltages = P(A) = 0.90

So, the probability that batteries have unacceptable voltages = P(U) = 1 - P(A) = 1 - 0.90 = 0.10

Now, the probability that you test exactly 4 batteries is given by the three cases. Firstly, note that batteries will be tested until two acceptable ones have been found.

So, the cases are = P(AUUA) + P(UAUA) + P(UUAA)

This means that we have tested 4 batteries until we get two acceptable batteries.

So, required probability = (0.90 $\times$ 0.10 $\times$ 0.10 $\times$ 0.90) + (0.10 $\times$ 0.90 $\times$ 0.10 $\times$ 0.90) + (0.10 $\times$ 0.10 $\times$ 0.90 $\times$ 0.90)

= 0.0081 + 0.0081 + 0.0081 = <u>0.0243</u>

<u></u>

Hence, the probability that you test exactly 4 batteries is 0.0243.

3 0

3 years ago