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3 years ago

I think of a number, double it, and subtract two. I get nine. What is the number I began with?

Mathematics

1 answer:

DIA [1.3K]3 years ago

3 0

Answer:

5.5

Step-by-step explanation:

Well if you add two to nine and then divide in=t by two you get your answer

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Rewrite in simplest radical form 1/x^-3/6

VladimirAG [237]

$\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad

\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}
\\\quad \\
% rational negative exponent
a^{-\frac{{ n}}{{ m}}} =
 \cfrac{1}{a^{\frac{{ n}}{{ m}}}} \implies \cfrac{1}{\sqrt[{ m}]{a^{ n}}}
\\ \quad \\ \quad \\

% radical denominator
\cfrac{1}{\sqrt[{ m}]{a^{ n}}}= \cfrac{1}{a^{\frac{{ n}}{{ m}}}}\implies a^{-\frac{{ n}}{{ m}}}\qquad thus\\
----------------------------\\

\\ \quad \\

$ $\bf 
\\ \quad \\

\cfrac{1}{x^{-\frac{3}{6}}}\implies \cfrac{1}{x^{-\frac{1}{2}}}\implies \cfrac{1}{\frac{1}{x\frac{1}{2}}}\implies \cfrac{1}{1}\cdot \cfrac{x^{\frac{1}{2}}}{1}
\\ \quad \\
x^{\frac{1}{2}}\implies \sqrt{x}$

4 0

4 years ago

A company decided to test the hypothesis that the average time a company’s employees are spending to check their private e-mails

Degger [83]

Answer:

$z=\frac{6.6-6}{\frac{1.7}{\sqrt{40}}}=2.232$

Since is a one sided right tailed test the p value would be:

$p_v =P(z>2.232)=0.0128$

Step-by-step explanation:

Data given and notation

$\bar X=6.6$ represent the sample mean

$\sigma=1.7$ represent the population standard deviation

$n=40$ sample size

$\mu_o =6$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is higher than 6minutes or no, the system of hypothesis would be:

Null hypothesis: $\mu \leq 6$

Alternative hypothesis: $\mu > 6$

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{6.6-6}{\frac{1.7}{\sqrt{40}}}=2.232$

P-value

Since is a one sided right tailed test the p value would be:

$p_v =P(z>2.232)=0.0128$

5 0

3 years ago

Start at 3. Create a pattern that multiplies each number by 2 and then adds 1. Stop when you have five numbers.

liubo4ka [24]

3, 3*2+1, 7*2+1, 15*2+1, 31*2+1
3, 7, 15, 31, 63

You are adding a multiple of four

4 0

3 years ago

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The length of one edge of a cube is 3 units. What is the volume of this cube in cubic units?

matrenka [14]

Step-by-step explanation:

<h3 /><h3><u>This means that the side length of the cube is 3 units. The volume, which we previously stated was equal to s3, must then be 33, or 27 cubic units. The answer is 27.</u></h3>

6 0

3 years ago

Solve the equation 2x + 10 = 30.

Morgarella [4.7K]

Answer:

X=10

Step-by-step explanation:

1. Subtract 10 from both sides

2. Simplify

3. Divide both sides by the same factor

4. Simplify

4 0

2 years ago

Read 2 more answers