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3 years ago

Which is the standard form for this number? (4 x 1 100 ) + (8 x 1 1,000 ) + ( 3 x 1 100,000 ) ?

Mathematics

1 answer:

kondaur [170]3 years ago

6 0

Answer:

Option B $0.04803$

Step-by-step explanation:

we have

$(4*\frac{1}{100})+(8*\frac{1}{1,000})+(3*\frac{1}{100,000})\\ \\ =(\frac{4}{100})+(\frac{8}{1,000})+(\frac{3}{100,000}) \\ \\ =0.04+0.008+0.00003\\ \\=0.04803$

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A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi

Luden [163]

Answer:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

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

$p_v =P(z>1.768)=0.039$

Step-by-step explanation:

Data given and notation

$\bar X=3.4$ represent the sample mean

$\sigma=0.4$ represent the population deviation for the sample

$n=50$ sample size

$\mu_o =3.3$ represent the value that we want to test

$\alpha$ 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 to be tested

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

Compute the test statistic

We know the population deviation, so for this case 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".

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

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

P value

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

$p_v =P(z>1.768)=0.039$

6 0

3 years ago

a box contains 5 plain pencils and 5 pens. a second box contains 7 color pencils and 5 crayons. one item from each box is chosen

Ket [755]

First box: $\dfrac{pen}{total}=\dfrac{5}{10}=\dfrac{1}{2}$

Second box: $\dfrac{crayon}{total}=\dfrac{5}{12}$

Multiply them:

$\dfrac{1}{2}*\dfrac{5}{12}=\dfrac{5}{24}$

The probabilityis $\dfrac{5}{24}$

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3 years ago

9 = x/2 + 2<br> solve for x.

Leya [2.2K]

Answer:

14 = x

Step-by-step explanation:

-2 on both sides you get 7 = x/2, multiply both sides by 2 and you get 14 = x

8 0

3 years ago

Read 2 more answers

Haii guys I need help ASAP pleasee

Evgen [1.6K]

Answer: 100

Step-by-step explanation: Part B is 100, you get that answer because you have ten put out the 1 and then the two is telling you to put 2 zeros .

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3 years ago

Investigate how demand elasticities are affected by increases in demand. Apply the midpoint formula to calculate the demand elas

inn [45]

It should be noted that a good that has a high demand elasticity for an economic variable implies that consumer demand for that good is more responsive to changes in the variable.

<h3>How to explain the demand?</h3>

It should be noted that an elastic demand is one werr the change in quantity demanded due to a change in price is large.

Also, an inelastic demand is one in which the change in quantity demanded due to a change in price is small. When the formula creates an absolute value greater than 1, the demand is elastic.

Here, a good that has a high demand elasticity for an economic variable implies that consumer demand for that good is more responsive to changes in the variable.

Learn more about demand on:

brainly.com/question/1245771

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1 year ago