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3 years ago

What is the value of x: -7x = -2x + 15

2 answers:

8 0

X= -3
Explanation: add 2x to both sides of equation. -7x+2x = -2x+15+2x which ends up equaling -5x=15 then divide both sides by -5. -5x=15 |
-5 -5 | which gets you -3 after dividing

Art [367]3 years ago

6 0

Answer:

-3

Step-by-step explanation:

-7x=-2x+15

collect like terms

-7x+2x=15

-5x=15

divide both sides by -5

x=15/-5

x=-3

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The average mass of a certain type of microorganism is 2.4x10^-6 grams. What is the approximate total mass, in grams, of 5x10^3

Solnce55 [7]

I would go with answer b

6 0

3 years ago

What is 8 x 10 power of 0

Lapatulllka [165]

Question:- Find

$8 \times {10}^{0}$

Answer:- we know that

${10}^{0} = 1$

so by putting the value:-

$8 \times {10}^{0} \\ 8 \times 1 \\ 8 \: ans$

7 0

3 years ago

Read 2 more answers

NEED ANSWERED ASAP WILL REWARD BRAINLIEST

Luda [366]

Answer:

The sum of the first 100 terms is 60400

Step-by-step explanation:

* Lets revise the arithmetic sequence

- There is a constant difference between each two consecutive

numbers

- Ex:

# 2 , 5 , 8 , 11 , ……………………….

# 5 , 10 , 15 , 20 , …………………………

# 12 , 10 , 8 , 6 , ……………………………

* General term (nth term) of an Arithmetic sequence:

- U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d

- Un = a + (n – 1)d, where a is the first term , d is the difference

between each two consecutive terms n is the position of the

number

- The sum of first n terms of an Arithmetic sequence is calculate from

Sn = n/2[a + l], where a is the first term and l is the last term

* Now lets solve the problem

- We will use method (1)

- From the table the terms of the sequence are:

10 , 22 , 34 , 46 , 58 , 82 , 94 , ............., where 10 is the first term

∵ an = a1 + (n - 1) d ⇒ explicit formula

∵ a1 = 10 and a2 = 22

∵ d = a2 - a1

∴ d = 22 - 10 = 12

- The 100th term means the term of n = 100

∴ a100 = 10 + (100 - 1) 12

∴ a100 = 10 + 99 × 12 = 10 + 1188 = 1198

∴ The 100th term is 1198

- Lets find the sum of the first 100 terms of the sequence

∵ Sn = n/2[a1 + an]

∵ n = 100 , a = 10 , a100 = 1198

∴ S100 = 100/2[10 + 1198] = 50[1208] = 60400

* The sum of the first 100 terms is 60400

7 0

3 years ago

In 1982 Abby’s mother scored at the 93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the

oksian1 [2.3K]

Answer:

The percentle for Abby's score was the 89.62nd percentile.

Step-by-step explanation:

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

In a set with mean $\mu$ and standard deviation(which is the square root of the variance) $\sigma$ , 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.

Abby's mom score:

93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the scores was 9604.

93rd percentile. X when Z has a pvalue of 0.93. So X when Z = 1.476.

$\mu = 503, \sigma = \sqrt{9604} = 98$