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3 years ago

Find five consecutive integers whose sum is 195.

1 answer:

5 0

X + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 195

(Make sure you don't add "x+5" because "x + 0" is an included term.)

5x + 10 = 195
5x = 185
x = 37

Hope this helps!

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Help please, try to explain it in steps for me if u can't that's fine, ty!

Iteru [2.4K]

Answer:

Step-by-step explanation:

We are given that Expression One is:

$2\cdot 10^x$

And Expression Two is:

$4\cdot 10^{x+y}$

We are given that the value of Expression Two is 20,000 times greater than the value of Expression One. And we want to find the value of y. In other words:

$4\cdot 10^{x+y}=20000(2\cdot 10^x)$

We can divide both sides by four:

$10^{x+y}=10000\cdot 10^x$

Recall that:

$x^a\cdot x^b=x^{a+b}$

Therefore:

$10^x\cdot 10^y=10000\cdot 10^x$

Divide both sides by 10ˣ:

$10^y=10000$

Solve for y:

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Our answer is B.

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2 years ago

A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the l

lesya692 [45]

Answer:

The probability that a call last between 4.2 and 4.9 minutes is 0.4599

Step-by-step explanation:

Let X be the length in minutes of a random phone call. X is a normal distribution with mean λ=4.2 and standard deviation σ=0.4. We want to know P(4.2 < X < 4.9). In order to make computations, we will use W, the standarization of X, given by the following formula

$W = \frac{X-\mu}{\sigma} = \frac{X-4.2}{0.4}$

We will use $\phi$ , the cummulative distribution function of W. The values of $\phi$ are well known and the can be found in the attached file

$P(4.2 < X < 4.9) = P(\frac{4.2-4.2}{0.4} < \frac{X-4.2}{0.4} < \frac{4.9-4.2}{0.4}) = P(0 < W < 1.75) = \\ \phi(1.75) - \phi(0) = 0.9599-0.5 = 0.4599$

We conclude that the probability that a call last between 4.2 and 4.9 minutes is 0.4599

Download pdf

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3 years ago

June Russell, who has a checking account at Gravy Train Bank, is writing a check to Stanley Lawrence, who has a checking account

Law Incorporation [45]

Stanley Lawrence is the correct answer

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3 years ago

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What is the estimate of -4.2 - (-2.9). Show your work

irakobra [83]

Answer:

-1

Step-by-step explanation:

-4.2-(-2.9)

-4.2➡ is about -4

-2.9➡is about -3

-4-(-3)

-4+3

-1

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3 years ago

Hey hey hey. help pls

Firdavs [7]

Answer:

Emma spend 8 hours in homework in a week and Jared spends 16 hours in homework in 2 weeks.

Step-by-step explanation:

Two quantities P and Q are said to be in PROPORTION if and only if for all values of P and q, we get:

$\frac{P}{Q} = k$

Here, k : PROPORTIONALITY CONSTANT

Case: 1

5 hour piano practice in 1 week.

So, the piano practice in 2 weeks( 1 x 2) = 2 x 5 = 10 hours

But here, it is given to be 12 hours in 2 weeks.

Hence, NOT PROPORTIONAL.

Case 2:

70 words in 60 seconds.

So, the words typed in 210 seconds ( 60 x 3.5) = 70 x 3.5 = 240 words

But here, it is given to be 280 words in 210 seconds.

Hence, NOT PROPORTIONAL.

Case: 3

8 hour homework in 1 week.

So, the homework done in 2 weeks( 1 x 2) = 2 x 8 = 16 hours

It is given to be 16 hours in 2 weeks.

Hence, PROPORTIONAL.

Case: 4

15 miles in 78 minutes.

So, the distance covered in 102 minutes (78 x 1.3) = 15 x 1.3 = 19.6 miles

But here, it is given to be 17 miles in 102 minutes.

Hence, NOT PROPORTIONAL.

Case: 5

18 miles in 45 minutes.

So, the distance covered in 55 minutes (45 x 1.2) = 18 x 1.2 = 21.6 miles

But here, it is given to be 22 miles in 55 minutes.

Hence, NOT PROPORTIONAL.

Hence, the only proportional case is Emma spend 8 hours in homework in a week and Jared spends 16 hours in homework in 2 weeks.

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3 years ago

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