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2 years ago

Samantha is solving the linear equation 15+ 5x - 9 = 5x + 8 - 4x. Her next two steps are

Mathematics

1 answer:

9966 [12]2 years ago

7 0

Answer:

Correct!

Step-by-step explanation:

The solution is x = 1

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If Michelle is to celebrate her birthday next week, what is the chance that she will celebrate it in Wednesday

Ivan

Answer: 1/7

Step-by-step explanation: Seven possibilities and one outcome so it is 1/7

6 0

3 years ago

Read 2 more answers

What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.

Assoli18 [71]

Answer:

7.36 cm²

Step-by-step explanation:

What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.

The formula for the area of a triangle is given as:

1/2 × Base × Height

Base = 3.2 cm

Height = 4.6 cm

Hence,

Area of the triangle = 1/2 × 3.2 × 4.6

= 7.36 cm²

4 0

3 years ago

My brother wants to estimate the proportion of Canadians who own their house.What sample size should be obtained if he wants the

AVprozaik [17]

Answer:

a) $n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

b) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

If solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by: