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jonny [76]
3 years ago
13

Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 9 to the number and multi

plied the sum by 2, it would equal 8. Which equation could Stephanie use to find the number, x? A. 2(x + 9) = 8 B. 2(x) + 9 = 8 C. 9(x + 2) = 8 D. 2 + (x + 9) = 8
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
5 0

Answer:

A. 2(x + 9) = 8

Step-by-step explanation:

To solve this problem, we proceed as follows:

- We call "x" the number picked up by Amy:

x

- Amy then adds 9 to this number, so we get:

x+9

- Then, we multiply this sum by 2, so we get:

2(x+9)

- Finally, Amy says that this number is equal to 8:

2(x+9)=8

So the correct equation is

A. 2(x + 9) = 8

We can even solve it to find the number. We get:

2(x+9)=8\\2x+2\cdot 9 = 8\\2x+18=8\\2x+18-18=8-18\\2x=-10\\x=\frac{-10}{2}=-5

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RideAnS [48]

Answer: HI ^_^

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Step-by-step explanation:

hope it helps

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3 0
2 years ago
Read 2 more answers
Find the probability of rolling an odd sum or a sum less than 7 when a pair of dice is rolled
Nutka1998 [239]

Answer:

For the pairs that satisfy that the sum is less than 7 we have:

(1,1) (2,1) (1,2) (3,1) (2,2) (1,3) (4,1) (3,2) (2,3) (1,4) (5,1) (4.2) (3,3) (2,4) (1,5)

So we have a total of 15 pairs where the sum is less than 7

And for an odd sum we have the following pairs

(2,1) (1,2) (4,1) (3,2) (2,3) (1,4) (6,2) (5,2) (4,3) (3,4) (2,5) (1,6) (6,3) (5,4) (4,5) (3,6) (6,5) (5,6)

A total of 18 pairs and we have 6 pairs who are in both cases for the sum less than 7 and the sum an odd number that represent the intersection and using the total probability rule we got:

P = \frac{15+18-6}{36}= \frac{27}{33}= 0.818

Step-by-step explanation:

For this case when a pair of dice is rolled we have the following sample pace for the outcomes:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

We see 36 possible outcomes and we want to find how many of these pairs we got rolling an odd sum or a sum less than 7

For the pairs that satisfy that the sum is less than 7 we have:

(1,1) (2,1) (1,2) (3,1) (2,2) (1,3) (4,1) (3,2) (2,3) (1,4) (5,1) (4.2) (3,3) (2,4) (1,5)

So we have a total of 15 pairs where the sum is less than 7

And for an odd sum we have the following pairs

(2,1) (1,2) (4,1) (3,2) (2,3) (1,4) (6,2) (5,2) (4,3) (3,4) (2,5) (1,6) (6,3) (5,4) (4,5) (3,6) (6,5) (5,6)

A total of 18 pairs and we have 6 pairs who are in both cases for the sum less than 7 and the sum an odd number that represent the intersection and using the total probability rule we got:

P = \frac{15+18-6}{36}= \frac{27}{33}= 0.818

7 0
3 years ago
I will give out brainliest noooooo spams ok
alekssr [168]

Answer:

0.077

Step-by-step explanation:

Marco can divide 77 by 1000 to convert it to dekagrams

There are 0.077 decagrams per 77 centagrams

5 0
3 years ago
Write the equation of the line in slope intercept form​
Neko [114]

Answer:

y= -3+2

Step-by-step explanation:

5 0
3 years ago
/viewform?hr submission=Chclk4feKBIQ.
Gennadij [26K]

Answer:

c) .22

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this question:

\sigma = 2.5, n = 500

Then

M = z*\frac{\sigma}{\sqrt{n}}

M = 1.96*\frac{2.5}{\sqrt{500}}

M = 0.22

5 0
3 years ago
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