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4 years ago

Factor this expression 9x+123y

2 answers:

5 0

The highest common factor is 3 because 9 doesn't go into 123, so 3 is on the outside of the bracket like 3(_____). To get from 3 to 9x, you multiply by 3x, which is the first term in the brackets. To get from 3 to 123y, you multiply by 41y, the second term in the brackets. Your answer is therefore 3(3x + 41y). I hope this helps!

Lapatulllka [165]4 years ago

3 0

The answer is 3(3x+41y)

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It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportat

olga nikolaevna [1]

Answer:

We conclude that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet which means that the statement made in the advertisement is correct.

Step-by-step explanation:

We are given that it is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportation researcher wants to determine if the statement made in the advertisement is false.

She randomly test drives 36 small cars at 65 miles per hour and records the braking distance. The sample average braking distance is computed as 114 feet. Assume that the population standard deviation is 22 feet.

Let $\mu$ = average braking distance for a small car traveling at 65 miles per hour.

So, Null Hypothesis, $H_0$ : $\mu$ = 120 feet {means that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet}

Alternate Hypothesis, $H_A$ : $\mu\neq$ 120 feet {means that the average braking distance for a small car traveling at 65 miles per hour is different from 120 feet}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average braking distance = 114 feet

$\sigma$ = population standard deviation = 22 feet

n = sample of small cars = 36

So, test statistics = $\frac{114-120}{\frac{22}{\sqrt{36} } }$

= -1.64

The value of z test statistics is -1.64.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistics lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet which means that the statement made in the advertisement is correct.

5 0

4 years ago

The area of a square is 64n^36 square units. What is the side length of one side of the square? HURRY!!!!

nata0808 [166]

Answer:

Step-by-step explanation:

√(64n^36) = 8n^18 the side length

8 0

4 years ago

Look at this expression, and complete the statements.

STALIN [3.7K]

Answer:

$3 \to$ Coefficient of x

$(x+2)\to$ Variable

$4 \to$ Constant

Step-by-step explanation:

Given

$3x + 2(x +2) + 4$

Required

Complete the statements

In 3x, x is the variable; so:

$3 \to$ Coefficient of x

In 2(x + 2), 2 is the variable so:

$(x+2)\to$ Variable

4 stands alone. So, it is a constant

$4 \to$ Constant

6 0

3 years ago

22. For the sequence 3, 10, 17, 24, ... , write the explicit equation for this sequence, then

Crank

Answer:

see explanation

Step-by-step explanation:

Note the common difference d between consecutive terms

d = 10 - 3 = 17 - 10 = 24 - 17 = 7

This means the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

Here a₁ = 3 and d = 7, thus explicit formula is

$a_{n}$ = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4, thus

$a_{18}$ = (7 × 18) - 4 = 126 - 4 = 122

7 0

3 years ago

How to find the asymtope of a function

Darya [45]

Asymptote at x = 3 and a horizontal asymptote at y = 1. The curves approach these asymptotes but never cross them. The method used to find the horizontal asymptote changes depending on how the degrees of the polynomials in the numerator and denominator of the function compare.

3 0

3 years ago