Que números primos son mayores que -6

The volume of a cube can be found using the equation V = s³, where V is the volume and s is the measure of one side of the cube.

Harrizon [31]

$V=s^3\\\\s^3=729\ in^3\\\\s=\sqrt[3]{729\ in^3}\\\\ s=\sqrt[3]{729} \ in$
Answer

$s=\sqrt[3]{9^3}\ in\\\\s=9\ in$

6 0

3 years ago

Read 2 more answers

The graph of f(x) = (xl is reflected across the y-axis and

Crank

Answer:

The range is different. (Last option)

Step-by-step explanation:

Since the graph was reflected, the range will change since it is no longer a minimum amount but a maximum amount that it will reach. The domain will continue to stay the same because the x values it will reach are still all real numbers.

5 0

3 years ago

Read 2 more answers

A researcher would like to determine whether a new tax on cigarettes has had any effect on people’s behavior. During the year be

Rufina [12.5K]

Answer:

We conclude that there was no significant change in cigarette purchases after the new tax.

Step-by-step explanation:

We are given that during the year before the tax was imposed, stores located in rest areas on the state thruway reported selling an average of µ = 410 packs per day with σ = 60.

For a sample of n = 9 days following the new tax, the researcher found an average of M = 386 packs per day for the same stores.

Let $\mu$ = mean cigarette purchases after the new tax.

SO, Null Hypothesis, $H_0$ : $\mu$ = 410 packs/day {means that there was no significant change in cigarette purchases after the new tax}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ 410 packs/day {means that there was a significant change in cigarette purchases after the new tax}

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

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

where, M = sample mean selling of packs/day = 386 packs/day

σ = population standard deviation = 60

n = sample of days = 9

So, the test statistics = $\frac{386-410}{\frac{60}{\sqrt{9} } }$

= -1.20

The value of z test statistics is -1.20.

Now, at 5% significance level the z table gives critical values of -1.645 and 1.645 for two-tailed test.

Since our test statistic 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 there was no significant change in cigarette purchases after the new tax.

3 0

3 years ago

Which of the following circumstances would likely make factoring the best method for solving a quadratic equation?

BabaBlast [244]

Answer:

The correct option is;

B. The difference of 2 perfect squares

Step-by-step explanation:

Solving a quadratic equation using factoring involves finding the factors of the equation that would yield the result of the quadratic equation

In order to find the roots of the quadratic equation, then the result of the factoring must be equal to zero, in which case, the constant terms in the factors are the solutions of the quadratic equation in opposite sign.

For example, we have;

x² - 5² = 11

We subtract 11 from both sides to get;

x² - 5² - 11 = 11 - 11

x² - 36 = 0

x² - 6² = 0

(x - 6) × (x + 6) = 0

Therefore, x = 6 or -6 which are the opposite sign of the constant terms in the factor.

3 0

3 years ago

Work out the slope of y=5x +3

Lerok [7]

Answer:

5

Step-by-step explanation:

the x coefficient is the slope

3 0

3 years ago