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2 years ago

Please Help!!!

Mathematics

1 answer:

Viefleur [7K]2 years ago

8 0

Answer:

Numeric expressions apply operations to numbers. For example, 2(3 + 8) is a numeric expression. Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, division). For example, 2(x + 8y) is an algebraic expression.

Step-by-step explanation:

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What is the correct standard equation of a circle with center (5,-1) and radius 12

Charra [1.4K]

The equation for a circle is

(x-h)² + (y-k)² = r²

h = your given x

y = your given k

Let's plug everything in!

(x - 5) ² + (y - (-1)) ² = 12²

Your final equation is

(x - 5) ² + (y + 1) ² = 144

<em>Hope I helped! Comment or message me if you have any questions :) </em>

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3 years ago

The original price for a jacket was 124.95. It is on sale for 20% off. Witch of the following gives the best estimate of the sav

d1i1m1o1n [39]

20% of 124.95 is close to $125 so that is equal of 12.50 of 10% so multiply by 2 which is $25.00 so the estimate discount of the jacket will be $25.00

7 0

2 years ago

Read 2 more answers

Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size

julsineya [31]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

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

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 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

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 on this case we have that $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

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

For this case we can use as estimator for the proportion $\hat p =0.5$ , since we don't have any other previous info. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

8 0

2 years ago

If theta is an acute angle and sin=1/2 , then cos theta =

lilavasa [31]

$\pi /6$ is the only acute angle whose sin = 1/2. Therefore, cos ( $\pi /6$ ) = $\sqrt{3} /2$

7 0

2 years ago

Noah's oven thermometer gives a reading that is 2% greater than the actual temperature if the actual temperature is 350°F what w

blsea [12.9K]

Answer:

Step-by-step explanation:

Step one:

given data

actual reading= 350°F

thermometer reading 2% of the actual reading

Step two:

Required:

The thermometer reading

let us find 2% of 350°F

2/100*350°

=0.02*350

=7°F

Hence the thermometer reading is 7°F greater than 350°F

The thermometer reading is 350+7=357°F

6 0

2 years ago