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2 years ago

Solve this 2 step equation 3x-8=7

Mathematics

2 answers:

Gwar [14]2 years ago

4 0

Answer:

X=5

Step-by-step explanation:

3x-8=7

3x=15 (add 8 to both sides)

X=5 (divide by 3)

Ne4ueva [31]2 years ago

3 0

Since, x = 5
So,
3x - 8 = 7
or, 3 x 5 - 8 = 7
Therefore, 15 - 8 = 7

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In a large population, very close to 25% of the observations will fall below the

lana66690 [7]

Answer:

1,417,000

Step-by-step explanation:

Given that:

Score = 1,475,623

96% of nationwide

96% of score gives the best estimate of the number of scores below 720

0.96 * 1475623

= 1416598.08

The best estimate is 1,417,000

4 0

3 years ago

Solve for c: c+8=-11c

UNO [17]

Answer:

c= -2/3

Step-by-step explanation:

c+8 = -11c

C = -11c -8

c+11c = -8

12c = -8

divide both sides by 12

c= -2/3

7 0

3 years ago

Read 2 more answers

g A test was conducted to determine if there is a difference between Canadian and American average heart rates. A group of 36 Ca

melisa1 [442]

Answer:

The test statistic | t | =4.45

Step-by-step explanation:

Step(i):-

Given that the first sample size n₁ = 36

Given that the second sample size n₂ = 34

Mean of the first sample x₁⁻ = 68.5

Mean of the second sample x₂⁻ = 70

Step(ii):-

Test statistic

$t = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } } )}$

$t = \frac{68.5-70}{\sqrt{2(\frac{1}{36}+\frac{1}{34} ) } }$

$t = \frac{-1.5}{0.337} = -4.45$

The test statistic | t | = |-4.45| =4.45

6 0

3 years ago

Julie has a bag of p blue marbles and q red marbles in the ratio 2:3. She adds r blue marbles. The ratio of blue marbles to red

ruslelena [56]

I'm not sure how to answer the question... BUT, I know that the side that says 2 is for the blue marbles and 1 is for the red marbles, meaning that every 2 blue marbles she has equal 1 red marble.
Sorry I didn't have the answer, hope this helps :/

5 0

3 years ago

A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimat

AveGali [126]

Answer:

a) 68% probability that the sample mean will be within ±5 of the population mean.

b) 95% probability that the sample mean will be within ±10 of the population mean.

Step-by-step explanation:

To solve this problem, we have to understand the Empirical Rule and the Central Limit Theorem

Empirical Rule

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem

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

In this problem, we have that:

Mean: $\mu = 200$

Standard deviation of the population: $\sigma = 50$

Size of the sample: $n = 100$

Standard deviation for the sample mean: $s = \frac{50}{\sqrt{100}} = 5$

a.What is the probability that the sample mean will be within ±5 of the population mean?

5 is one standard deviation from the mean.

By the Empirical Rule, 68% probability that the sample mean will be within ±5 of the population mean.

b.What is the probability that the sample mean will be within ±10 of the population mean?

10 is two standard deviations from the mean

By the Empirical Rule, 95% probability that the sample mean will be within ±10 of the population mean.

4 0

3 years ago