All categories

3 years ago

Can someone please help me with this math question .

Mathematics

1 answer:

Alona [7]3 years ago

5 0

No, Yes, No, Yes

using the laws of exponents

(1)

( $4^{3}$ )³ = $4^{9}$

4³ × 4³ = $4^{6}$

$4^{9}$ ≠ $4^{6}$ → No

(2)

( $3^{4}$ )^4 = $3^{16}$

$3^{8}$ × $3^{8}$ = $3^{16}$ → Yes

(3)

$18^{8}$ = (6 × 3 )^8 = $6^{8}$ × $3^{8}$ ≠ $6^{4}$ × $3^{4}$ → No

(4)

$20^{3}$ = (4 × 5 )³ = 4³ × 5³ → Yes

You might be interested in

Which statement is true about whether Z and B are independent events

const2013 [10]

Independent Events are 2 events where the occurrence of the first doesn't affect the occurrence of the second and vice versa.
Example: rolling 2 simultaneously dies, the occurrence of the first, has no impact, no effect on the occurrence of the 2nd roll

6 0

3 years ago

(-2,9), (0,1) what is the y-intercept?

7nadin3 [17]

Answer:

(0,1) is the y-intercept

Step-by-step explanation:

EZZZZZZ

5 0

2 years ago

Read 2 more answers

The number of potholes in any given 1-mile stretch of freeway pavement in Pennsylvania has a Normal distribution. This distribut

Iteru [2.4K]

Answer:

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 49

Standard deviation = 9

Using the Empirical Rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 22 and 58?

22 = 49 - 3*9

So 22 is three standard deviations below the mean.

Since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above the mean.

Of those 50% which are below the mean, 99.7% of those are within 3 standard deviations of the mean, that is, greater than 22.

58 = 49 + 9

So 58 is one standard deviation of the mean.

Of those which are above the mean, 68% are within 1 standard deviation of the mean, that is, lesser than 58.

Then

0.997*0.5 + 0.68*0.5 = 0.8385 = 83.85%

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

5 0

3 years ago

Many states run lotteries to raise money. A website advertises that it knows "how to increase YOUR chances of Winning the Lott

Crank

Complete question is;

Many states run lotteries to raise money. A website advertises that it knows "how to increase YOUR chances of Winning the Lottery." They offer several systems and criticize others as foolish. One system is called Lucky Numbers. People who play the Lucky Numbers system just pick a "lucky" number to play, but maybe some numbers are luckier than others. Let's use a simulation to see how well this system works. To make the situation manageable, simulate a simple lottery in which a single digit from 0 to 9 is selected as the winning number. Any value can be picked, but for this exercise, pick 1 as the lucky number. What proportion of the time do you win?

Answer:

10%

Step-by-step explanation:

We are told that To make the situation manageable, simulate a simple lottery in which a single digit from 0 to 9 is selected as the winning number.

This means the total number of single digits that could possibly be a winning one is 10.

Since we are told that only 1 can be picked, thus;

Probability of winning is; 1/10 = 0.1 or 10%

5 0

3 years ago

There is a store downtown that sells clothes. The owner has his own method of pricing items. A coat costs $20, a hat costs $15,

Lesechka [4]

Answer:

$25

Step-by-step explanation:

well you have to identify what the method is first.

He is basically pricing things by the count of 5. So, you can assume that it would cost $25.

Idk, this is a weird problem

7 0

3 years ago