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3 years ago

If 10x+6y=7 is a true equation, what would be the value of 6(10x+6y)?

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

8 0

Answer:

Step-by-step explanation:

We know that 10x + 6y = 7, and so

6(10x + 6y) = 6(7) = 42

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Scores on a test are normally distributed with a mean of 81.2 and a standard deviation of 3.6. What is the probability of a rand

Misha Larkins [42]

<u>Answer:</u>

The probability of a randomly selected student scoring in between 77.6 and 88.4 is 0.8185.

<u>Solution:</u>

Given, Scores on a test are normally distributed with a mean of 81.2

And a standard deviation of 3.6.

We have to find What is the probability of a randomly selected student scoring between 77.6 and 88.4?

For that we are going to subtract probability of getting more than 88.4 from probability of getting more than 77.6

Now probability of getting more than 88.4 = 1 - area of z – score of 88.4

$\mathrm{Now}, \mathrm{z}-\mathrm{score}=\frac{88.4-\mathrm{mean}}{\text {standard deviation}}=\frac{88.4-81.2}{3.6}=\frac{7.2}{3.6}=2$

So, probability of getting more than 88.4 = 1 – area of z- score(2)

= 1 – 0.9772 [using z table values]

= 0.0228.

Now probability of getting more than 77.6 = 1 - area of z – score of 77.6

$\mathrm{Now}, \mathrm{z}-\text { score }=\frac{77.6-\text { mean }}{\text { standard deviation }}=\frac{77.6-81.2}{3.6}=\frac{-3.6}{3.6}=-1$

So, probability of getting more than 77.6 = 1 – area of z- score(-1)

= 1 – 0.1587 [Using z table values]

= 0.8413

Now, probability of getting in between 77.6 and 88.4 = 0.8413 – 0.0228 = 0.8185

Hence, the probability of a randomly selected student getting in between 77.6 and 88.4 is 0.8185.

4 0

3 years ago

Solve for x: 4(2x − 1) = 2x + 35

PilotLPTM [1.2K]

X = 13/2 or 6 1/2. Hope this helps!

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4 years ago

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Josh buys cucumbers that cost $0.62 per pound.He pays $2.79 for the cucumbers.

Sphinxa [80]

Please refer to the other post you saw.

Josh's estimate IS reasonable because when you have a number 5 or above after the decimal, you round up. Although it's reasonable to round up to 5 pounds, the actual amount is 4.5 pounds, or four and a half.

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4 years ago

Evaluate using factors:(7.62)² - (2.38)²?

Hoochie [10]

Answer:

52.4.

Step-by-step explanation:

This is the difference of 2 squares:

a^2 - b^2 = (a - b)(a + b)

(7.62^2 - (2.38)^2

= (7.62 - 2.38)(7.62 + 2.38)

= 5.24 * 10

= 52.4

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3 years ago

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Pls help meeeeeeeeeeee

natka813 [3]

<h2>Answer:</h2>

<h3>1) $\frac{1}{2}$ </h3><h3>3) $\frac{1}{6}$ </h3><h3>5) $\frac{2}{3}$ </h3><h3 /><h2>Step-by-Step Explanation:</h2><h3 />

1.<em> </em>Find the probability of rolling less than a four.

<u>Probability Outcomes</u> = 1, 2, 3, 4, 5, 6

<u>Outcomes lower than four</u> = 1, 2, 3

Then to answer it you need the probability in the form of a fraction.

$\frac{3}{6}$ simplifies into $\frac{1}{2}$

2. Find the probability of rolling an even prime number.

<u>Probability Outcomes</u> = 1, 2, 3, 4, 5, 6

<u>Prime Numbers Through 1-6</u> = 2, 3, 5

<u>Even Prime numbers Through 1-6</u> = 2

So the probability in the form of a fraction.

3. Find the probability of rolling factors of 20.

<u>Probability Outcomes</u> = 1, 2, 3, 4, 5, 6

<u>Factors of 20 Through 1-6</u> = 1, 2, 4, 5

So probabilty in the form of a fraction.

$\frac{4}{6}$ simplifies into $\frac{2}{3}$

<h3>That's all! I hope this helps! If you ever need my help, just friend me and message me!</h3>

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3 years ago

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