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Nitella [24]
3 years ago
15

The sum of 6 consecutive integers is 519. What is the third number in this sequence?

Mathematics
2 answers:
garri49 [273]3 years ago
8 0
The third integer is 86, hope this helps :)
Gekata [30.6K]3 years ago
7 0
Let the third number be n. then the series of numbers is n-2, n-1, n, n+1, n+2, n+3. The sum of these numbers should be 519. Add them together and solve for n:
n-2+n-1+n+n+1+n+2+n+3=519
6n+3=519
6n=516
n=86

So the third number is 86.
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You place a billiard cue against a billiard table. The foot of the billiard cue is 15 cm away from the table and the top of the
Luba_88 [7]

Answer:

  • -4

Step-by-step explanation:

<u>The billiard cue is 15 cm away from the table</u>

  • This refers to coordinates of (15, 0)

<u>The billiard cue touches the table at a point 60 cm off the ground</u>

  • This refers to coordinates of (0, 60)

<u>The slope is as per slope formula;</u>

  • m = (60 - 0)/(0-15) = 60/ -15 = -4

Thea answer is -4

6 0
3 years ago
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What is the volume of a sphere with a diameter of 23.5 in, rounded to the nearest
zlopas [31]

Answer:

V≈6795.2in³

Step-by-step explanation:

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5 0
2 years ago
Question: Researchers in Pakistan wanted to better understand the effects of anthracycline (a chemotherapeutic drug) on the hear
Sedbober [7]

Using the normal distribution, it is found that:

1. His z-score was of Z = -1.88.

2. There is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.

3. Z-score of z = 1.85, there is a 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.

4. Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.

In this problem:

  • The mean is of \mu = 1.35.
  • The standard deviation is of \sigma = 0.33.

Item 1:

Considering his ratio, we have that X = 0.73, hence:

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

Z = \frac{0.73 - 1.35}{0.33}

Z = -1.88

His z-score was of Z = -1.88.

Item 2:

The probability is the <u>p-value of Z = -1.88</u>, hence, there is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.

Item 3:

Score of X = 1.96, hence:

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

Z = \frac{1.96 - 1.35}{0.33}

Z = 1.85

The probability is 1 subtracted by the p-value of Z = 1.85, hence, 1 - 0.9678 = 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.

Item 4:

Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.

More can be learned about the normal distribution at brainly.com/question/24663213

7 0
2 years ago
Help me solve this please -22-x=5+6x+9
ollegr [7]

Answer: x = -5  1/7

Step-by-step explanation:

-22 - x = 5 + 6x + 9

First, combine the like terms 5 and 9

5 + 9 = 14

-22 - x = 14 + 6x

Add x to each side

-22 = 14 + 7x

Subtract 14 from each side

-36 = 7x

Divide each side by 7

x = -5 1/7 (Yes, a fraction.)

8 0
3 years ago
The function f(x) = 2x2 + 2 represents the rate of a bus traveling in miles per hour. The function g(x) = x + 2 represents the t
AlekseyPX

Answer:

  (f • g)(3) = 100, the distance in miles the bus traveled

Step-by-step explanation:

The product of (miles/hour) and (hours) is (miles), so only answers with units of distance are applicable. The numbers are ...

  f(3) = 2·3² +2 = 20 . . . . miles per hour

  g(3) = 3+2 = 5 . . . . hours

so (f·g)(3) = f(3)·g(3) = 20·5 = 100 . . . . miles

This means only the first answer choice is applicable.

6 0
3 years ago
Read 2 more answers
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