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icang [17]
3 years ago
11

What is the area of the shaded section?

Mathematics
1 answer:
Ray Of Light [21]3 years ago
8 0

Answer:

270cm squared

area of shaded part rectangle is 180

are of triangle is 48 and 42 respectively you add the three to get 270

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722.50

Step-by-step explanation:

not exactly sure its right but i did use a calculator so I'm pretty sure it's right

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two investments earn an annual income of $645. an investment earns an annual simple interest rate of 7.7%, and the other investm
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In how many months or years if just one month a little under 3000 each
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CAN U PLZ HELP THANK YOU
Ulleksa [173]

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second one

Step-by-step explanation:

3 0
3 years ago
There are 220 students in Year 9
e-lub [12.9K]

Answer:

132 and 88

Step-by-step explanation:

If there are 20% more boys than girls, then this means that the total percentage of boys us 60% and girls is 40%.

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0.4 * 220 = 88

There are 132 boys and 88 girls in year 9

5 0
3 years ago
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
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