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1 year ago

Write an expression to model each situation.

2 answers:

6 0

The first one should be:
(10 + 16) ÷ 2
because if you didnt have any parentheses, it would have a different answer.

the second one should be:
2/3 x 2 + 1/4

lyudmila [28]1 year ago

5 0

Answer:

10+16 divided by 2

2/3 * 2 + 1/4

Step-by-step explanation:

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If you invest $1,500 today in a bank that gives you a 5 percent annual interest rate, which of these items can you buy in two ye

Andre45 [30]

<span>First, we must calculate the amount that will be available after two years. This is given by: Amount = initial amount * (1 + interest rate)^time Amount = 1500 * (1 + 0.05)^2 Amount = $1,653.75 Therefore, the only items you can buy using this amount are the electronics worth $1,650</span>

3 0

2 years ago

Read 2 more answers

What is the length of the base of a right triangle with an area of 15 square meters and a height of 3 meters? A. 5 m B. 10 m C.

Rzqust [24]

Answer:

B.10

Step-by-step explanation:

15=1/2b(3)

30=3b

10= base

4 0

2 years ago

A manufacturer reported a sample mean = 22.0 g and a sample standard deviation = 2.5 g based on a sample of 20 of their products

tester [92]

Answer:

$n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5$

So the answer for this case would be n=5 rounded up to the nearest integer

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".

$\bar X=22$ represent the sample mean

$\mu$ population mean (variable of interest)

s=2.5 represent the sample standard deviation

n represent the sample size

ME = 2 represent the margin of error accepted

Solution to the problem

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (2)

And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (3)

We can use as estimator for the population deviation the sample deviation $\hat \sigma = s$

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05;0;1)", and we got $z_{\alpha/2}=1.640$ , replacing into formula (3) we got:

$n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5$

So the answer for this case would be n=5 rounded up to the nearest integer

6 0

2 years ago

Which equation describes a line of symmetry for the figure shown? x = 0 y=−x y = x y = 0

Katena32 [7]

Answer:

y=0

Step-by-step explanation:

Hope this helped!!!

6 0

3 years ago

The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of

defon

The abscissa of the ordered pair, that is the x-coordinate, is equal to 1 and the ordinate, the y-coordinate, is equal to -1. In the cartesian plane, this point lies in the fourth (IV) quadrant. The standard position of the angle is that which has one of its side is in the x-axis.

Solve for the hypotenuse of the right triangle formed.
h = sqrt((-1)² + (1)²) = √2
Below items show the calculation for each of the trigonometric functions.

sin θ = opposite/hypotenuse = y/h = (-1)/(√2) = -√2/2
cos θ = adjacent/hypotenuse = x/h = (1)/√2 = √2/2
tan θ = opposite/adjacent = y/x = -1/1 = -1

7 0

2 years ago