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1 year ago

Which answer choice shows 3.002 written in expanded form?A) 3 + 0.2B) 3 + 0.02C) 3 + 0.002D) 3+ 0.0002

Mathematics

1 answer:

Elanso [62]1 year ago

8 0

SOLUTION

We want to know which answer choice shows 3.002 written in expanded form

To do this let us subtract 3.002 from 3, we have

We got 0.002

So the expanded form is

$3+0.002$

Hence the correct answer is option C

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Which steps should be used to graph the equation y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x

dalvyx [7]

Answer:

The steps are are explained below.

Step-by-step explanation:

Given:

The equation of the line is given as:

$y-4=\frac{1}{3}(x+2)$

The above equation is in point-slope form $y-y_1=m(x-x_1)$ .

Therefore, on comparing, we get

$x_1=-2,y_1=4,m=\frac{1}{3}$

So, the slope is one-third and point is (-2,4).

Now, following are steps for plotting the graph:

i. Plot the point (-2,4).

ii. Since the slope is one-third, it means we need to move 3 units to right from the point (-2,4) and then 1 unit up. So, after translating 3 units right and 1 unit up we mark the second point which is $(-2+3,4+1)\rightarrow )(1,5)$ .

iii. Draw a line passing through the points (-2,4) and (1,5) to get the graph of the line

Thus, the graph is drawn below.

8 0

3 years ago

Read 2 more answers

GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.24 mg of mercury. A sample of 25 bulbs shows a m

amm1812

Answer:

Null hypothesis: $\mu \leq 3.24$

Alternative hypothesis: $\mu > 3.24$

Step-by-step explanation:

1) Previous concepts and data given

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

A right tailed test (sometimes called an upper test) is when the alternative hypothesis statement contains a greater than (>) symbol.

$\bar X=3.29$ represent the sample mean

s represent the sample standard deviation

n represent the sample selected

$\alpha$ significance level

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean for fluorescent bulbs is no more than 3.24 mg of mercury, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.24$

Alternative hypothesis: $\mu > 3.24$

IIf we know the population deviation we can 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".

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4 years ago

Simplify the following expression please solve correctly<br> −12^12 ^2 / 3^ 5 ^5

nikdorinn [45]

The simplified expression is $-\frac{48}{x^{3} y^{3}}$

Explanation:

The given expression is $\frac{-12x^{2}12y^{2} }{3x^{5} y^{5} }$

Let us simplify the expression.

Multiplying the numbers in the numerator, we have,

$\frac{-144 x^{2} y^{2}}{3 x^{5} y^{5}}$

Dividing the term 144 by 3, which results in 48.

Thus, we have,

$\frac{-48 x^{2} y^{2}}{x^{5} y^{5}}$

Applying the fraction rule $\frac{-a}{b}=-\frac{a}{b}$ , we get,

$-\frac{48 x^{2} y^{2}}{x^{5} y^{5}}$

Applying the exponent rule $\frac{x^{a}}{x^{b}}=\frac{1}{x^{b-a}}$ , we have,

$-\frac{48}{x^{3} y^{3}}$

Thus, the simplified expression is $-\frac{48}{x^{3} y^{3}}$

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3 years ago

Simplify. Question is in the picture.

sasho [114]

$\tt 3\sqrt{6}-10 \sqrt{2}\cdot \sqrt{3} =3\sqrt{6}-10 \sqrt{6}=\boxed{\tt -7\sqrt{6}}$

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3 years ago

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A car travels 35 mph for r+2 hours,how far does it travel

Paladinen [302]

Recall d = rt, distance = rate * time.

$\bf d=rt\qquad 
\begin{cases}
r=\stackrel{mph}{35}\\
t=\stackrel{hours}{r+2}
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4 years ago