3x/4 =6 Please help me ASAP (:

The sum of three consecutive numbers is –15. What is the LARGEST number?

soldier1979 [14.2K]

Consecutive numbers are numbers that follow one right after the other. One example is the set {6, 7, 8}. We don't know the three consecutive numbers so let's define...

x = first number
x+1 = second number
x+2 = third number

where x, x+1, and x+2 are consecutive numbers

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"The sum of three consecutive numbers is -15" meaning that
x+(x+1)+(x+2) = -15

Let's solve for x
x+(x+1)+(x+2) = -15
x+x+1+x+2 = -15
3x+3 = -15
3x+3-3 = -15-3
3x = -18
3x/3 = -18/3
x = -6

So this means

first number = x = -6
second number = x+1 = -6+1 = -5
third number = x+2 = 6+2 = -4

The list of consecutive values is {-6, -5, -4}

They add up to (-6) + (-5) + (-4) = -11+(-4) = -15
which confirms we have the right values

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In short, the final answer is -4

7 0

3 years ago

A parallelogram has an area of 316.35 square inches and a base of 18.5 inches. What is the height

Bess [88]

Answer:

17.1

Step-by-step explanation:

h=A/b

h= 316.35/18.5

h=17.1

4 0

3 years ago

A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose pe

qwelly [4]

Answer:

0.85083 ; 0.83147 ; 0.6823 ; 0.015386

Step-by-step explanation:

Given that:

σ = 25

μ = 86

(a) x is more than 60

P(x > 60)

obtain standardized score (Zscore)

Zscore = (x - μ) / σ

Z = (60 - 86) /25

Z = - 1.04

P(Z > - 1.04) = 0.85083 (Z probability calculator)

(b) x is less than 110

P(x < 110)

obtain standardized score (Zscore)

Zscore = (x - μ) / σ

Z = (110 - 86) /25

Z = 0.96

P(Z < 0.96) = 0.83147 (Z probability calculator)

(c) x is between 60 and 110

P(x < 110) - P(x < 60)

P(Z < 0.96) - P(Z < - 1.04)

0.83147 - 0.14917

= 0.6823

(d) x is greater than 140

P(x > 140)

obtain standardized score (Zscore)

Zscore = (x - μ) / σ

Z = (140 - 86) /25

Z = 2.16

P(Z > 2.16) = 0.015386 (Z probability calculator)

7 0

3 years ago

23s = 322 what is s pls and thanks!

katovenus [111]

Answer:

14

Step-by-step explanation:

322/23=14 FILLER FILLER

6 0

3 years ago

Read 2 more answers

In Test A, suppose you make 100 experimental measurements of some quantity and then calculate mean, standard deviation, and stan

Scrat [10]

Answer:

D.) I would expect the means and standard deviations in the two test to be about the same, but the standard error in Test B should be smaller than in Test A.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

By the Central Limit Theorem:

Both tests, A and B, are of the same quantity, so they have the same mean and standard deviation. However, since the standard error is inversely proportional to the sample size, and test B has a greater sample size than test A, the standard error in test B should be lower, and thus, the correct answer is given by option D.

8 0

3 years ago