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bezimeni [28]
3 years ago
9

3(x+6)+6x+9=7x+8 Solve for x.* A -19/2 B 19/2 C 2/19 D -2/19

Mathematics
1 answer:
Inessa05 [86]3 years ago
4 0

Answer:

a) -19/2

Step-by-step explanation:

3(x+6)+6x+9=7x+8

3x + 18 + 6x + 9 = 7x + 8

3x + 6x - 7x = 8 - 18 - 9

2x = -19

2x/2 = -19/2

Therefore, x = -19/2

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The demand for a daily newspaper at a newsstand at a busy intersection is known to be normally distributed with a mean of 150 an
AURORKA [14]

Answer:

171 newspapers.

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 \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.

In this problem, we have that:

\mu = 150, \sigma = 25

How many newspapers should the newsstand operator order to ensure that he runs short on no more than 20% of days

The number of newspapers must be on the 100-20 = 80th percentile. So this value if X when Z has a pvalue of 0.8. So X when Z = 0.84.

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

0.84 = \frac{X - 150}{25}

X - 150 = 0.84*25

X = 171

So 171 newspapers.

4 0
3 years ago
Assume that a sample is used to estimate a population mean p. Use the given confidence level and sample data to find the margin
Charra [1.4K]

Answer:

40x90it is your ans muntply and divide and your ans coms

7 0
2 years ago
What is 2log5(5x^3)+(1/3)log5((x^2)+6) written as a single logarithm?
joja [24]
Assuming 5 is the base. I'm going to leave that out for now.

2log(5x^3) + (1/3)log(x^2+6)

power rule
log(5^2 x^3*2) + log((x^2 + 6)^(1/3))

log(25x^6) + log((x^2 + 6)^(1/3))

quotient rule
log(25x^6 / (x^2 + 6)^(1/3))
4 0
3 years ago
Read 2 more answers
Paolo paid $ 28 $ 28 for a hat that was originally priced at $ 35 $ 35 . By what percent was the hat discounted?
devlian [24]

The original price of the hat is $35. Paolo paid $28 for the hat.

So discount for the hat is $(35-28) = $7

$7 is discounted from $35. We have to find the percentage of the discount.

To find the percentage we have to divide the discount amount by the original price and then have to multiply it by 100.

So the discount percentage =

((7/35)×100) %

We can simplify 7/35 by dividing 7 and 35 both by 7. So we will get 1/5 after simplifying.

((1/5) ×100) %

(100/5)% = 20%

So the hat was discounted by 20%.

5 0
3 years ago
What are prime numbers​
Tasya [4]

Answer:

2, 3, 5, 7 and 11 are the first few prime numbers.

Step-by-step explanation:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

6 0
2 years ago
Read 2 more answers
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