Find the greatest common factor: 14a^4 + 35a^9

One number is 20 times another number. The product of the two numbers is 180. Write an equation and use it to find all pairs of

nadezda [96]

Y = 20x

y • x = 180

180/x = y

180/x = 20x

180 = 20x^2

x^2 = 6

x = + or - 3

Therefore y must equal + or - 60.

8 0

3 years ago

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17 - 6 * 10 / 2 + 12 is what

Zarrin [17]

Answer:

- 1

Step-by-step explanation:

Using the order of operations PEMDAS ( parenthesis, exponents, multiplication, division, addition, subtraction )

Given

17 - 6 × 10 ÷ 2 + 12 ← perform multiplication

= 17 - 60 ÷ 2 + 12 ← perform division

= 17 - 30 + 12 ← perform addition/ subtraction from left to right

= - 13 + 12

= - 1

7 0

3 years ago

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You wish to compare the prices of apartments in two neighboring towns. You take a simple random sample of 12 apartments in town

Rom4ik [11]

Answer:

The value of P-value is 0.0472.

Step-by-step explanation:

We are given that you take a simple random sample of 12 apartments in town A and calculate the average price of these apartments. You repeat this for 15 apartments in town B.

Let $\mu_1$ = true average price of apartments in town A

$\mu_2$ = true average price of apartments in town B

So, Null Hypothesis, $H_0$ : $\mu_1=\mu_2$

Alternate Hypothesis, $H_A$ : $\mu_1\neq \mu_2$

The test statistics that have been used here is two-sample t-test statistics, i.e;

The test statistics given to us is 2.1

Now, the P-value of the test statistics is given by the following formula;

P-value = P( $t__n__1+_n_2-_2$ > 2.1)

= P( $t_2_5$ > 2.1) = 0.0236

In two-tailed test, P-value is calculated as = 2 $\times$ 0.0236 = 0.0472

Hence, the value of the p-value is 0.0472.

7 0

3 years ago

Rewrite log[(ac^3/b)]using the properties of logarithms

stellarik [79]

Answer:

1st option

Step-by-step explanation:

$log( \frac{a {c}^{3} }{b} ) \\ = log(a {c}^{3}) - logb \\ = loga + log{c}^{3} - logb \\ = loga + 3logc - logb$

note that the cube is only for c not a

6 0

3 years ago

If the central limit theorem is applicable, this means that the sampling distribution of a ___________ population can be treated

3241004551 [841]

The answers are Sample population and the Sample Size is Large Enough.

<h3>What are population and sample?</h3>

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

If the central Limit Theorem is applicable, this means that the sampling distribution of a sample population can be treated as normal since the sample size is large enough.

Also, It asserts that the distribution of the average of the sum of many identically distributed and independent variables will be approximately normal, irrespective of the statistical properties.

Thus, the answers are Sample population and the Sample Size is Large Enough.

Learn more about the population and sample here:

brainly.com/question/9295991

#SPJ4

6 0

2 years ago