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3 years ago

The diameter of a circle is 3 what is the circumference ?

Mathematics

2 answers:

stich3 [128]3 years ago

8 0

Answer:The circumference will be 9.42

It will be pie times 3

Step-by-step explanation:

lana [24]3 years ago

4 0

The diameter is 0.95 approximately. This is because to find the diameter you use the formula diameter= circumference/ pi. So 3/3.14 is approximately 0.95.

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Determine if the given expression is written in simplestradical form.-V 150And why?

seropon [69]

$\text{Answer : -5}\sqrt[]{6}$

Explanation

$\begin{gathered} -\text{ }\sqrt[]{150} \\ \text{This can be express further by applying the laws of surd} \\ \sqrt[]{A\text{ x B}}\text{ = }\sqrt[]{A}\text{ x }\sqrt[]{B} \\ Step\text{ 1: Find the factor of 150 that will give one p}\operatorname{erf}ect\text{ square and non - p}\operatorname{erf}ect\text{ square} \\ Factor\text{ of 150 = 25 and 6} \\ \text{Threfore, }\sqrt[]{150}\text{ can be express as }\sqrt[]{25\text{ x 6}} \\ \sqrt[]{150\text{ }}\text{ = }\sqrt[]{25\text{ x 6}} \\ \sqrt[]{150\text{ }}\text{ = }\sqrt[]{25}\text{ x }\sqrt[]{6} \\ \sqrt[]{25}\text{ = 5} \\ -\sqrt[]{150}\text{ = -5}\sqrt[]{6} \\ \text{Therefore, the simplest form of -}\sqrt[]{150}\text{ is -5}\sqrt[]{6} \end{gathered}$

7 0

11 months ago

What is the first step in evaluating this expression?

Rufina [12.5K]

A.

PEMDAS

Parenthesis always comes first, then exponents, multiplication and division, adding and subtracting

7 0

3 years ago

Read 2 more answers

Hypothesis Testing for Means with Small Samples

Scorpion4ik [409]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: volume of root beer in a Windsor Bottling Company can.

A sample of n=24 cans was taken and their contents measured, resulting:

X[bar]= 11.4 oz

S= 0.62 oz

Assuming that the variable has a normal distribution X~N(μ;σ²), the parameter of interest is the average contents of the root beer cans of the Windsor Bottling Company (μ)

The claim is that the population mean content of the cans is different from 12 oz, symbolically: μ ≠ 12

The statistical hypothesis (Null and alternative) have to be complementary, exhaustive and mutually exclusive. The null hypothesis is the "no change" hypothesis and always carries the "=" sign.

If the claim is μ ≠ 12, its complement is μ = 12, the expression carrying the "=" sign will be the null hypothesis and its complement will be the alternative hypothesis:

H₀: μ = 12

H₁: μ ≠ 12

α: 0.05

To test the population mean of this normal population, you have to apply a one sample t-test, with statistic:

$t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}$

$t_{H_0}= \frac{11.4-12}{\frac{0.62}{\sqrt{24} } } = -4.74$

This test is two-tailed, using the critical value approach, you have to determine two rejection regions. Meaning, you'll reject the null hypothesis to small values of the statistic or to high values of the statistic.

$t_{n-1;\alpha /2}= t_{23;0.025}= -2.069$

$t_{n-1;1-\alpha /2}= t_{23;0.975}= 2.069$

The decision rule is:

If $t_{H_0}$ ≤ -2.069 or if $t_{H_0}$ ≥ 2.069, then you reject the null hypothesis.

If -2.069 < $t_{H_0}$ < 2.069, then you do not reject the null hypothesis.

The value is less than the left critical value, the decision is to reject the null hypothesis.

Then you can say that with a 5% significance level, there is significant evidence to reject the null hypothesis, then the average amount of root beer of the Windsor Bottling Company is different from 12 oz, this means that the claim about the amount of root beer in the cans is correct.

I hope it helps!

6 0

3 years ago

How many solutions does the system have? y = -2x-4 \\\\ y = 3x+3

lakkis [162]

Answer:

The system has one solution.

Step-by-step explanation:

We have two equations:

y = -2x - 4

y = 3x + 3

Equalling them: