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3 years ago

Solve the equation. -15 + t = 60 t=

Mathematics

2 answers:

tangare [24]3 years ago

7 0

Answer:

t = 75

Step-by-step explanation:

Step 1: Write equation

-15 + t = 60

Step 2: Solve for t

Add 15 to both sides: t = 75

Step 3: Check

Plug in t to verify it's a solution.

-15 + 75 = 60

60 = 60

mixer [17]3 years ago

3 0

Answer:

t= 75

Step-by-step explanation:

15-75=60

i hope this helps

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To find the cost of labor for one worker, you multiply the wage by the number of hours worked.

40 * 8 = 320

Because there are two workers, now you double it.

320 * 2 = 640

To find the percentage of the revenue that this is, you do the labor cost divided by the revenue.

640 / 2000 = 0.32

Move the decimal two places to the right to get the percentage.

0.32 = 32%

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3. Using the sample size of 800 and the proportion 0.47, calculate the margin of error associated with the estimate of the propo

salantis [7]

Answer:

$ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346$

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

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

Solution to the problem

We assume for this case a confidence level of 95%. 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 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

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

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)

And if we replace the values obtained we got this:

$ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346$

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3 years ago

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max2010maxim [7]

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3 years ago

Angle C is inscribed in circle O.

tatuchka [14]

Answer:

The radius of circle O is 8.5 Units

Step-by-step explanation:

Solution

The radius of a circle is refereed to as the half of the diameter.

Now,

On how to figure out the length of AB, we apply the Pythagorean's equation or formula which is given below

Thus,

a² + b² = c²

(15)² + (8)² = c²

225 + 64 = c²

√289 = √c²

Then

c = 17

What this shows is that AB is 17 units.

Since we have gotten the diameter, the next step is to divide into half the know the radius value

Therefore,

17 ÷ 2 = 8.5 Units

= 8.5 Units.

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