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4 years ago

Algebra help

1 answer:

5 0

To determine the correct ordered pairs which will agree with the function, we can substitute values to the function and see whether it agree with each other. We do as follows:

(0,1)
 f(x)=128(0.5)^0
 f(x)=128

(1,64)
 f(x)=128(0.5)^1
f(x) = 64 <--------CORRECT ANSWER

(3,16)
 f(x)=128(0.5)^3
f(x) = 16 <--------CORRECT ANSWER

(8,0.5)
 f(x)=128(0.5)^8
f(x) = 1/2

Hope this answers the question. Have a nice day.

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Your bank account balance is $32.00. You make the following withdrawals, in the following order: $15.00, $7.41, $35.79, and $0.5

aksik [14]

Answer:

−58.73

Step-by-step explanation:

32−(15.53+7.41+35.79+32)

=−58.73

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4 years ago

6. All angles in the figure below are right angles. What is the area of the figure? (4 point)

jok3333 [9.3K]

Answer:

Area the figure = 45 - 9 = 36 units² ⇒ last answer

Step-by-step explanation:

"I have added screenshot of the complete question as well as the diagram"

All the angles of the figure are right angles

From the attached figure: we can find the area of the figure by subtracting the area of the cutting part from the area of the rectangle of dimensions 9 units and 5 units

∵ All the angles of the figure are right angles

∴ We can consider that the figure of dimensions 9 units and 5 units

as a rectangle

∵ Area of any rectangle A = L × H , where L, H are the dimensions

of the rectangle

∵ L = 9 units and H = 5 units

∴ Area of the rectangle = 9 × 5 = 45 units²

- The dimensions of the cutting part are 3 units and

[9 - (2 + 4) = 9 - 6 = 3 units]

∴ The cutting part is a square

∵ Area any square = S², where S is the length of the side of the square

∵ S = 3 units

∴ The area of the cutting part = 3² = 9 units²

∵ Area of the figure = area rectangle - area square

∵ Area the rectangle = 45 units²

∴ Area the square = 9 unit²

∴ Area the figure = 45 - 9 = 36 units²

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4 years ago

The advertised size of a computer or television screen is actually the length of the diagonal of

andreyandreev [35.5K]

Answer:

37.5 cm

Step-by-step explanation:

See attached for reference.

let the diagonal be x,

By Pythagorean formula:

x² = (22.5)² + (30)²

x = √[(22.5)² + (30)²]

x = 37.5 cm

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3 years ago

A random sample of 864 births in a state included 426 boys. Construct a 95% confidence interval estimate of the proportion of bo

oksian1 [2.3K]

Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:

$n = 864, \pi = \frac{426}{864} = 0.493$

Then, the bounds of the interval are given by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 + 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.526$

The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.

More can be learned about the z-distribution at brainly.com/question/25890103

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3 years ago

Eva filled a bucket with 7 gallons of water. A few minutes later, she realizes only 1 3/5 of water remained. How much water had

Vesna [10]

Answer:

Step-by-step explanation:

$7 - 1 \frac{3}{5} = 6 \frac{2}{5}$

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3 years ago