All categories

2 years ago

Factor the expression below.

2 answers:

5 0

A. (x+8)(x-8)

Because 64 factored is 8x8 and to get a net you need a positive and negative. And X^2 factored is just two X’s.

monitta2 years ago

5 0

Answer:

Step-by-step explanation:

a² - b² = (a +b)(a - b)

64 = 8 * 8 = 8²

x² - 64 = x² - 8²

= (x +8)(x - 8)

You might be interested in

Use the given information to find the p-value. also use a0.05 significance level and state the conclusion about the null hypothe

omeli [17]

Answer:

(a) C: 0.0465 ; reject the null hypothesis

(b) B: 0.3409 ; fail to reject the null hypothesis

Step-by-step explanation:

Firstly, the decision rule based on P-value to reject the null hypothesis or fail to reject the null hypothesis is given by;

If the P-value of test statistics is less than the level of significance, then we have sufficient evidence to reject our null hypothesis.

If the P-value of test statistics is more than the level of significance, then we have insufficient evidence to reject our null hypothesis due to which we fail to reject our null hypothesis.

(a) Now, we are given alternate hypothesis, $H_1$ : p < 3/5

Also, z test statistics is -1.68. Since this is a left tailed test, so P-value is given by;

P-value = P(Z < -1.68) = 1 - P(Z $\leq$ 1.68)

= 1 - 0.95352 = 0.0465

Since, the P-value of test statistics is less than the level of significance as 0.0465 < 0.05, so we have sufficient evidence to reject our null hypothesis due to which we reject the null hypothesis.

(b) Now, we are given alternate hypothesis, $H_1$ : p > 0.383

Also, z test statistics is 0.41. Since this is a right tailed test, so P-value is given by;

P-value = P(Z > 0.41) = 1 - P(Z $\leq$ 0.41)

= 1 - 0.6591 = 0.3409

Since, the P-value of test statistics is more than the level of significance as 0.3409 > 0.05, so we have insufficient evidence to reject our null hypothesis due to which we fail to reject the null hypothesis.

5 0

3 years ago

At a sale this week, a desk is being sold for $561. This is 68% of the original price. What is the original price?

elixir [45]

Answer:

825

Step-by-step explanation:

hope it helps.good day

5 0

2 years ago

The $1 coin depicts Sacagawea and her infant son. The diameter of the coin is 26.5 mm, and the thickness is 2.00 mm. Find the vo

Contact [7]

Answer

Find the volume of the coin is cubic millimeters.

To prove

Formula

$Volume\ of\ cylinder\ = \pi r^{2} h$

Where r is the radius and h is the height .

As given

The $1 coin depicts Sacagawea and her infant son.

The diameter of the coin is 26.5 mm, and the thickness is 2.00 mm.

$Radius = \frac{Diameter}{2}$

$Radius = \frac{26.5}{2}$

Radius = 13.25 mm

$\pi = 3.14$

Put in the formula

Volume of coin = 3.14 × 13.25 × 13.25 × 2.00

= 1102.53 mm³ (approx)

Therefore the volume of the coin is 1102.53 mm³ .

7 0

4 years ago

the number of women at a training workshop was two less than three times the number of men if 50 people attended the workshop ho

Anton [14]

Answer: 148

Work: 50 men multiplied by 3 =150
If there is two less women from 3 multiplied by 50 (150) , then 150 - 2 = 148

6 0

3 years ago

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Zolol [24]

Answer:

Step-by-step explanation:

Triangle DEF is a right angle triangle.

From the given right angle triangle,

DE represents the hypotenuse of the right angle triangle.

With ∠E as the reference angle,

EF represents the adjacent side of the right angle triangle.

DF represents the opposite side of the right angle triangle.

To determine EF, we would apply

trigonometric ratio

Cos θ = opposite side/hypotenuse. Therefore,

Cos 49 = EF/8

EF = 8Cos49 = 8 × 0.6561

EF = 5.2488

Rounding to the nearest tenth, it becomes 5.2

3 0

3 years ago