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Nezavi [6.7K]
3 years ago
13

Which expressions are equivalent to the one below ? check all that apply :)

Mathematics
2 answers:
lys-0071 [83]3 years ago
8 0

Answer:

its b and e

Step-by-step explanation:

Stella [2.4K]3 years ago
5 0

Answer:

Option D and E are  equivalent to the given expression.

Step-by-step explanation:

Given : \frac{21^x}{3^x}

Solution:

\frac{21^x}{3^x}

Using identity : \frac{a^x}{b^x} = (\frac{a}{b})^x

(\frac{21}{3})^x   -- Option E

Now this can be written as  21^x = 7^x \times 3^x

Identity : a^x \times b^x = (a \cdot b)^x

\frac{7^x \times 3^x}{3^x}  -- Option D

(7)^x   -- Option D

Thus Option D and E are  equivalent to the given expression.

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Suppose the time that it takes a certain large bank to approve a home loan is Normally distributed with mean (in days) μ and sta
kolezko [41]

Answer:

(c) H0 should be rejected

Step-by-step explanation:

Null hypothesis (H0): population mean is equal to 5

Alternate hypothesis (Ha): population mean is greater than 5

Z = (sample mean - population mean) ÷ (sd/√n)

sample mean = 5.3, population mean = 5, sd = 1, n = 500

Z = (5.3 - 5) ÷ (1/√500) = 0.3 ÷ 0.045 = 6.67

Using the normal distribution table, for a one tailed test at 0.01 significance level, the critical value is 2.326

Conclusion:

Since 6.67 is greater than 2.326, reject the null hypothesis (H0)

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B28%7D%20%2B%20%5Cfrac%7B1%7D%7B70%7D%20%2B%20%5Cfrac%7B1%7D%7B130%7D%20%2B%20
malfutka [58]

Considering the least common multiple of the denominators, it is found that the result of the expression is given by:

\frac{9100}{138320}

<h3>How do we add fractions?</h3>

We place all the terms of the addition in "equivalent" fractions, with the same denominator, found from the last common multiple of all the denominators.

In this problem, the denominators are as follows: 28, 70, 130, 208, 304. Using a calculator, their lcm is of 138,320.

Considering equivalent fractions(the numerators are the division of the lcm by the previous denominator), the expression is:

\frac{4940}{138320} + \frac{1976}{138320} + \frac{1064}{138320} + \frac{665}{138320} + \frac{455}{138320} = \frac{4940 + 1976 + 1064 + 665 + 455}{138320} = \frac{9100}{138320}

More can be learned about the addition of fractions at brainly.com/question/78672

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5 0
2 years ago
Rafael has a bag of marbles, there are 5 green marbles, 6 red marbles, and 4
yulyashka [42]

The probability of getting red marble from the consider withdrawal of a marble is 0.107 approximately.

<h3>How to calculate the probability of an event?</h3>

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

Given that:

The bag contains:

  • 5 green marbles,
  • 6 red marbles,
  • 45 white marbles.
  • Rafael draws one marble at random

Since he draws one marbel, thus, only one colored marble would come out.

Let we suppose we've to find P(red marble coming out).

Then, if we take:

E = event of Rafael drawing a red marble,

then E can be done in 6 ways as there are 6 red marbles to choose from.

Also, withdrawal of 1 marble (of any color) can be done in (5+6+45 = 56) 56 ways.

Thus, we get:

P(E) = P(\text{Choosing a red marble}) = \dfrac{6}{56} = \dfrac{3}{28} \approx 0.107

Thus, the probability of getting red marble from the consider withdrawal of a marble is 0.107 approximately.

Learn more about probability here:

brainly.com/question/1210781

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3 0
2 years ago
Which of the following is something that will not affect your homeowners insurance premium? a. the distance of the home from a s
RideAnS [48]
The correct answer for this question above homeowners insurance premium would be option A. The one that is something that will not affect your homeowners insurance premium would be the distance of the home from school. In addition, the color of the home won't affect it as well. Hope this answer helps.
6 0
3 years ago
Read 2 more answers
Plz give explanation.<br> solve | k-10 | = 3
Ne4ueva [31]

Answer:

13

Step-by-step explanation:

Explanation:

Use the absolute value definition to rewrite the absolute value equation as two separate equations.

k-10=3

k-10=-3

Solve the equation for k

k=13

k-10=-3

k=13

k=7

The equation has 2 solutions, meaning k1=7,k2=13. Which gives you the answer of: 13 (K1=7,k2=13)

6 0
3 years ago
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