Question 1 (1 point)

A quadrilateral has vertices (2, 0), (0, –2), (–2, 4), and (–4, 2). Which special quadrilateral is formed by connecting the midp

HACTEHA [7]

In order to know what the polygon is, you have to plot the coordinates. After plotting, it is obviously shown a form of a rectangle. After connecting the midpoints of the sides, it formed a (D) rhombus, not a kite.

8 0

3 years ago

Given the geometric sequence where a1 = 3 and r = √2 find a9

Zigmanuir [339]

Answer:

$a_9=48$

Step-by-step explanation:

we are given

sequence is geometric

so, we can use nth term formula

$a_n=a_1(r)^{n-1}$

we have

$a_1=3$

$r=\sqrt{2}$

we have to find a9

so, we can plug n=9

we get

$a_9=3(\sqrt{2})^{9-1}$

$a_9=2^4\cdot \:3$

$a_9=48$

8 0

2 years ago

Please answer this!! (In your own words.) The best answer gets brainliest! Find the area:

Wittaler [7]

Answer:

97.5 sq. ft.

Step-by-step explanation:

Im presuming the question asks to find area of the shaded region.

First of all, the total figure is a rectangle. We can write an expression(in words) for the shaded area.

Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)

Now, we find respective areas.

Area of rectangle:

length * width = (5+10) * (12) = 15 * 12 = 180

Area of Small Triangle (white):

A = (1/2) * base * height = (1/2) * 5 * (12-3) = (1/2) * 5 * 9 = 22.5

Area of Large Triangle (white):

A = (1/2) * base * height = (1/2) * 10 * (12) = 60

Now, we find area of shaded region:

Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)

Shaded Area = 180 - 22.5 - 60 = 97.5 sq. ft.

3 0

3 years ago

Read 2 more answers

An automobile manufacturer is considering using robots for part of its assembly process. Converting to robots is an expensive pr

LenKa [72]

Answer:

(a) The correct option is: H₀: p = 0.02 vs. Hₐ: p < 0.02.

(b) Explained below.

(c) The better value of α will be 0.10.

Step-by-step explanation:

An automobile manufacturer is considering using robots for part of its assembly process only if there is strong evidence that the proportion of defective installations is less for the robots than for human assemblers.

To test whether the proportion of defective installations is less for the robots than for human assemblers use a single-proportion z-test.

(a)

The hypothesis can be defined as:

H₀: The proportion of defective installations is same for both the robots and human assemblers, i.e. p = 0.02.

Hₐ: The proportion of defective installations is less for the robots than for human assemblers, i.e. p < 0.02.

The alternate hypothesis is the claim or the statement that is being tested.

In this case we need to test whether the proportion of defective installations is less for the robots than for human assemblers or not, so that the manufacturer can decide whether they want to apply the conversion.

Thus, the correct option is:

H₀: p = 0.02 vs. Hₐ: p < 0.02.

(b)

A type I error occurs when we discard a true null hypothesis and a type II error is made when we fail to discard a false null hypothesis.

In this case a type I error will be committed if conclude that the proportion of defective installations is less for the robots than for human assemblers when in fact it is not.

And a type II error will be committed if we fail to conclude that proportion of defective installations is less for the robots than for human assemblers.

(c)

The power of the test is the probability of rejecting a false null hypothesis.

The power of the test sis affected by the significance level of the test (α).

Lesser the significance level of the test the lesser is the power of the test.

If the value of α is reduced from 0.05 to 0.01 then the region of acceptance will increase. This implies that there is low probability of rejecting the null hypothesis even when it is false.

So higher the value of α the higher is the probability of making a correct decision.

Thus, the better value of α will be 0.10.

3 0

3 years ago

How much do you need in your account at the beginning?

Mariana [72]

50$ to start account in the bank if that what you needed

7 0

3 years ago