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3 years ago

5 37/40 as a decimal

2 answers:

5 0

Well 5=5
and 37/40
hmm, try to get that 40 into an nice number that is multiplule of 10
if we divide top and bottom by 4 that would work
$( \frac{37}{40})( \frac{ \frac{1}{4} }{ \frac{1}{4} })= \frac{9.25}{10}$
9.25/10=92.5=100=925/1000=925 thousandths=0.925

so the decimal would be 5.925

sergey [27]3 years ago

3 0

Your answer will be <span>5.925</span>

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For the hypothesis test H0: μ = 10 against H1: μ >10 and variance known, calculate the Pvalue for each of the following test

Basile [38]

Answer:

a) $p_v =P(Z>2.05)=1-P(z$

b) $p_v =P(Z>-1.84)=1-P(z$

c) $p_v =P(Z>0.4)=1-P(z$

Step-by-step explanation:

Some previous concepts

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

A z-test for one mean "is a hypothesis test that attempts to make a claim about the population mean(μ)".

The null hypothesis attempts "to show that no variation exists between variables or that a single variable is no different than its mean"

The alternative hypothesis "is the hypothesis used in hypothesis testing that is contrary to the null hypothesis"

Hypothesis

Null hypothesis: $\mu=10$

Alternative hypothesis: $\mu >10$

If the random variable is distributed like this: $X \sim N(\mu,\sigma)$

We assume that the variance is known so the correct test to apply here is the z test to compare means, the statistic is given by the following formula:

$z_o=\frac{\bar X -\mu}{\sigma}$

Since we have the values for the statistic already calculated we can calculate the p value using the following formulas:

Part a

$p_v =P(Z>2.05)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(2.05,0,1,TRUE)"

Part b

$p_v =P(Z>-1.84)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(-1.84,0,1,TRUE)"

Part c

$p_v =P(Z>0.4)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(0.4,0,1,TRUE)"

Conclusions

If we use a reference value for the significance, let's say $\alpha=0.05$ . For part a the $p_v$ so then we can reject the null hypothesis at this significance level.

For part b the $p_v>\alpha$ so then we FAIL to reject the null hypothesis at this significance level.

For part c the $p_v>\alpha$ so again we FAIL to reject the null hypothesis at this significance level.

3 0

3 years ago

Christine is 4 years younger than Mark. 3 years from now, she will be two-thirds as old as Mark find their present ages.Complete

icang [17]

Answer:Mark Is 9 years old; Christine is 5 years old

Step-by-step explanation:

Present age

LET mark age be x

Christine be x-4 yrs

In 3 yrs Time

Mark will be x+3 yrs old

Christine will be (x -4 +3) = x-1 years old

Also, In 3 years time

Christine = 2/3 Mark

such that

x-1 = 2/3(x+3)

x -1= 2x+6 / 3

3x -3= 2x+6

3X--2X = 6+3

=X=9

Mark Is 9 years old

Christine is x -4 = 9-4=5 years old

5 0

3 years ago

Which equation is an identity?

Alona [7]

<h2>✔Answer</h2>

<h2>An identity equation is an equation that is always true for any value substituted into the variable.</h2>

<h2>Hope it helps.❤</h2>

7 0

3 years ago

I need help with this

OLga [1]

Answer:

121

Step-by-step explanation:

The sum of the angles inside a triangle is always 180. The missing angle in the triangle must then be 180 -74 -47 = 59 degrees. The angles on a straight line add up to 180 degrees so x + 59 = 180. x = 180-59 = 121

3 0

3 years ago

What's the answer ????????

Korolek [52]

When you rotate the ef counter lock 180 degrees, the new line e'f' will have the same length as ef.

5 0

3 years ago