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2 years ago

Special right triangles: Find the missing side length Show work

Mathematics

1 answer:

Gnesinka [82]2 years ago

4 0

Answer:

This is a 45-45-90 right triangle

So we know that because at least one angle is 45 degrees and there is a right angle.

A 45-45-90 triangle has congruent (equal) legs {x} and the hypotnuse is

x√2

So using that information we know X = Y

Since they are both legs and legs are congruent in this case.
The hypotnuse is laid out for us which is 8.

We can make an equation.
Since the hypotnuse would be x√2

x√2 = 8

Now we solve.

You’d get 5.6528… or √32

X and Y both equal √32

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If a sponsored link was delivered 100 times and 10 people clicked on it, then the number of impressions is 100, the number of cl

Rudik [331]

Answer:

Option A.

Step-by-step explanation:

It is given that a sponsored link was delivered 100 times and 10 people clicked on it.

Number of impressions = 100

Number of clicks = 10

The formula for click-through-rate (CTR) is

$CTC=\dfrac{\text{Total measured clicks}}{\text{Total measured impression}}\times 100$

$CTC=\dfrac{10}{100}\times 100$

$CTC=10$

The click-through-rate (CTR) would be 10%. Therefore, the correct option is A.

7 0

3 years ago

The distribution of the average amount of sleep per night gotten by college students is roughly bell-shaped with mean 412 minute

kirza4 [7]

Answer:

$P(X$

$P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(412,68)$

Where $\mu=412$ and $\sigma=68$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

4 0

3 years ago

Ms. Reynolds has a system of 10 sprinklers that water her entire lawn. The sprinklers run one at a time, and each runs for the s

Flauer [41]

You are told that sprinklers run for the same amount of time. lets refer to this time as T.
you are told that 4 sprinkles run one at a time for 50 minutes total. that means that T should be 50/4 = 12.5 minutes = 12 minutes and 30 seconds

3 0

3 years ago

What is the value of the expression when y = 24? **Twelve less that eight times y.

vfiekz [6]

answer: 180

Step-by-step explanation:

8y-12

plug in the variable

8 (24) - 12

192-12

180

6 0

3 years ago

Add 238 and 12, then multiply by 3. Interpret the expression.

Volgvan

Answer:

3(238+12) is the expression

Step-by-step explanation:

hope this helps

4 0

3 years ago

Read 2 more answers