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3 years ago

X cubed = 64/27 A= ±8/3 B= 8/3 C= ±4/3 D= 4/3

Mathematics

1 answer:

Digiron [165]3 years ago

5 0

Answer:

Step-by-step explanation:

x³ = 64/27

Take the cube root of both sides.

x = ∛(64/27)

Distribute the cube root to the numerator and denominator.

x = (∛64)/(∛27)

Take the cube root of the terms.

x = 4/3

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Using your knowledge of circles, label the following on the given diagram: chord, tangent, radius, secant, point of tangency and

Tanzania [10]

The purple line is tangent. Tangent line intersects a circle in only 1 point
The yellow dot is the point of tangency. It is the point where tangent line touches the circle
The light blue line is secant. Secant line intersects a circle in 2 points
The red line is the radius. Radius is the distance from center to the outer rim of the circle.
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Arc AB is a minor arc
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3 years ago

What is 2.6 multiplied by <br> 15.9

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Answer:

Step-by-step explanation: Can I have Brain plz?

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3 years ago

Write an expression to find the greatest difference:

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Answer:

Try Khan Academy. They give lots of expression to find the greatest difference. It always helps me in this situation.

Step-by-step explanation:

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2 years ago

Find the area and perimeter

pashok25 [27]

Answer:

Part 1) The perimeter is $P=172\pi\ ft$

Part 2) The area is $A=1,204\pi\ ft^2$

Step-by-step explanation:

Part 1) Find the perimeter

we know that

The perimeter is equal to the circumference of the exterior circle plus the circumference of the interior circle

$P=2\pi (50)+2\pi (36)$

$P=2\pi (86)\\P=172\pi\ ft$

Part 2) Find the area

we know that

The area of the figure is equal to the area of the larger circle minus the area of the smaller circle

$A=\pi (50)^2-\pi (36)^2$

$A=\pi (1,204)$

$A=1,204\pi\ ft^2$

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2 years ago

A billing company that collects bills for doctors' offices in the area is concerned that the percentage of bills being paid by

omeli [17]

Answer:

1) A. H0: p = 0.30

HA: p not equal to 0.30

2) A. The Independence Assumption is met.

C. The Randomization Condition is met.

D. The Success/Failure Condition is met.

3) Test statistic z = 2.089

P-value = 0.0367

4) C. Reject H0. There is sufficient evidence to suggest that the percentage of bills paid by medical insurance has changed.

Step-by-step explanation:

1) This is a hypothesis test for a proportion.

The claim is that there is a significant change in the percent of bills being paid by medical insurance.

As we are looking for evidence of a difference, no matter if it is higher or lower than the null hypothesis proportion, the alternative hypothesis is defined by a unequal sign.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.3\\\\H_a:\pi\neq 0.3$

2) Cheking the conditions:

The independence assumption and the randomization condition are met as the bills were selected randomly from the population.

The 10% condition can not be checked, as we do not know the size of the population.

The success/failure condition is met as the products np and n(1-p) are bigger than 10 (the number of successes and failures are both bigger than 10).

3) The significance level is assumed to be 0.05.

The sample has a size n=9260.

The sample proportion is p=0.31.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.3*0.7}{9260}}\\\\\\ \sigma_p=\sqrt{0.000023}=0.005$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.31-0.3-0.5/9260}{0.005}=\dfrac{0.01}{0.005}=2.089$

This test is a two-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=2\cdot P(z>2.089)=0.0367$

As the P-value (0.0184) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that there is a significant change in the percent of bills being paid by medical insurance.

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2 years ago