All categories

2 years ago

Simplify 2^4 x 2^3/ 2^5 x 2^4 leaving your answer in index form.

Mathematics

1 answer:

DanielleElmas [232]2 years ago

8 0

Answer:

2^-2

Step-by-step explanation:

When multiplying indices or exponents with the same base number, you can add the powers:

2^4 x 2³ = 2^7 (4 + 3 = 7)

2^5 x 2^4 = 2^9 (5 + 4 = 9)

When dividing indices or exponents with the same base number, you can subtract the powers:

2^7 ÷ 2^9 = 2^-2 (7 - 9 = -2)

You might be interested in

Rearrange the equation so U is the independent variable. 4u+8w=−3u+2w

Basile [38]

Answer:

$u=-\frac{6}{7} w$

Step-by-step explanation:

$4u+8w=-3u+2w$

Add $3u$ and $-8w$ on both sides.

$4u+3u=2w-8w$

Add or subtract like terms.

$7u=-6w$

Divide $7$ on both sides.

$7u/7=-6w/7$

$u=-\frac{6}{7} w$

$u$ is the independent variable now.

8 0

3 years ago

Read 2 more answers

In a random sample of students who took the SAT test, 427 had paid for coaching courses and the remaining 2733 had not. Calculat

Dvinal [7]

Answer:

The 95% confidence interval for the proportion of students who get coaching on the SAT is (0.1232, 0.147).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

427 had paid for coaching courses and the remaining 2733 had not.

This means that $n = 427 + 2733 = 3160, \pi = \frac{427}{3160} = 0.1351$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a p-value of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1351 - 1.96\sqrt{\frac{0.1351*0.8649}{3160}} = 0.1232$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1351 + 1.96\sqrt{\frac{0.1351*0.8649}{3160}} = 0.147$

The 95% confidence interval for the proportion of students who get coaching on the SAT is (0.1232, 0.147).

8 0

3 years ago

What is .04 as a mixed number

statuscvo [17]

Step 1: 0.4 = 4⁄10
Step 2: Simplify 4⁄10 = 2⁄5

3 0

3 years ago

I’m not going on my own right path I

IrinaK [193]

Answer:

The answer is It is your opinion.

Step-by-step explanation:

thats your opinion .-.

7 0

3 years ago

Read 2 more answers

A.It will stay the same

DanielleElmas [232]

Answer:

Step-by-step explanation:

Let's arrange the data set in increasing order.

We have 19, 27, 27, 33, 45, 53. The median is (27 + 33) / 2 = 30.

The new set is 19, 27, 27, 33, 45, 53, 90. The new median is 33.

Since 33 - 30 = 3 the answer is B.

4 0

3 years ago