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3 years ago

How many solution does this equation have 17+4h+2=19−5h+9h?

Mathematics

2 answers:

dexar [7]3 years ago

7 0

Answer:

The input is an identity, it is true for all values.

Step-by-step explanation:

17 + 4h + 2 = 19 - 5h + 9h

19 + 4h = 19 - 5h + 9h

19 + 4h = 19 + 4h

19 - 19 + 4h = 19 - 19 + 4h

4h = 4h

4h ÷ 4 = 4h ÷ 4

h = h

The input is an identity, it is true for all values.

Yuliya22 [10]3 years ago

4 0

Answer:

h=0

Step-by-step explanation:

if you plug it it works

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Triangles E F G and K L M are shown. Angles E F G and K L M are congruent. The length of side K L is 6, the length of side M L i

Masteriza [31]

Answer:

The Answer is C: Yes, △EFG~ △KLM by SSS or SAS

Step-by-step explanation:

SSS is for side-side-side

Both triangles have all three sides given, so the SSS similarity theorem is one way to prove these triangles are similar.

SAS is for side-angle-side

Both triangles have one angle measurement given, and two side lengths given, therefore we can also use the SAS similarity theorem to prove the two triangles are similar.

Since both SSS and SAS work to prove the triangles are similar, the correct answer is C: Yes, △EFG~ △KLM by SSS or SAS

(I also just answered this question on the assignment and got it correct)

3 0

3 years ago

Read 2 more answers

An automotive repair center charges $45 for any part of the first hour of labor, and $25 for any part of each additional hour. W

IceJOKER [234]

The total cost is given by the equation:
C(t) = 45 + 25(h-1) where h is the number of hours worked.

We can check for each option in turn:

Option A:

Inequality 5 < x ≤ 6 means the hour is between 5 hours (not inclusive) to 6 hours (inclusive)
Let's take the number of hours = 5
C(5) = 45 + (5-1)×25 = 145
Let's take the number of hours = 6
Then substitute into C(6) = 45 + (6-1)×25 = 170
We can't take 145 because the value '5' was not inclusive.

Option B:
The inequality is 6 < x ≤ 7
We take number of hours = 6
C(6) = 25(6-1) + 45 = 170
We take number of hours = 7
Then C(7) = 25(7-1) + 45 = 195

Option C:
The inequality is 5 < x ≤ 6
Take the number of hours = 5
C(5) = 25(5-1) + 45 = 145
Take the number of hours = 6
C(6) = 25(6-1) + 45 = 170
We can't take the value 145 as '5' was not inclusive in the range, but we can take 170

Option D:
6 < x ≤ 7
25(6-1) + 45 < C(t) ≤ 25(7-1) + 45
170 < C(t) ≤ 195

Correct answer: C

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3 years ago

5. Stephanie has an aquarium. What is the volume capacity of the aquarium?

Luden [163]

Answer: 2520 inches.

I hope this helped! Please mark me brainliest :)

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3 years ago

Consider the probability that no less than 96 out of 145 people will not get the flu this winter. Assume the probability that a

dsp73

Answer:

0.1324 = 13.24% probability that no less than 96 out of 145 people will not get the flu this winter.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 145, p = 0.61$

$\mu = E(X) = np = 145*0.61 = 88.45$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{145*0.61*0.39} = 5.87$

Consider the probability that no less than 96 out of 145 people will not get the flu this winter.

More than 95 people, which is the same as 1 subtracted by the pvalue of Z when X = 95. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{95 - 88.45}{5.87}$

$Z = 1.115$

$Z = 1.115$ has a pvalue of 0.8676

1 - 0.8676 = 0.1324

0.1324 = 13.24% probability that no less than 96 out of 145 people will not get the flu this winter.

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3 years ago

how do I set up this word problem: I have 88 pieces of gum, I gave 4 pieces each to all my class mates, I have 8 pieces left, ho

NeTakaya

There are 20 people in the class room.

One way I set this word problem up is by using the equation 88-4x=8. X would stand for the amount of classmates in the class, 88 would stand for your total pieces of gum and 8 would stand for the remaining pieces left.

With the equation 88-4x=8 you want to subtract 88 from both sides to get the equation -4x=-80. Last you want to isolate x by dividing -4 on both sides to finally get x=20. 20 people in the class room.

3 0

3 years ago