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3 years ago

...can someone help me?

Mathematics

1 answer:

vladimir2022 [97]3 years ago

3 0

Answer:

Step-by-step explanation:

The arc length is very different from the arc measure, so make sure you know the difference. Arc length is measures in feet or inches or meters or cm, etc., while arc measure is measured in degrees, like angles. The formula we need for arc length includes the circumference of a circle formula, since the arc is part of the circumference. The formula includes the angle that cuts off that arc:

$AL=\frac{\theta}{360}*2\pi r$ where theta is the central angle that cuts off the arc we are finding the length of. That angle is 100 degrees; the radius if 12. Filling in the formula with those values and using 3.14 for pi:

$AL=\frac{100}{360}*2(3.14)(12)$ Simplifying a bit gives us:

$AL=\frac{100(2)(3.14)(12)}{360}$

Multiplying straight across the top and then dividing by 360 gives you a length of 20.93 inches. The first choice.

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A temperature record in Antarctica was -120.the temperature recorded in the Sahara desert was 129.how many degrees warmer is 129

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3 years ago

There are 5 red marbles and 12 silver marbles in a bag. You randomly choose one of the marbles. What is the probability of choos

AleksandrR [38]

So we know there are 5 red and 12 silver marbles, together making 16 marbles.

This would mean that there is a 5/17 chance of choosing a red marble.

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Convert .29 into a decimal, and you know that you have a 29% chance of grabbing a red marble.

Hope this helped!

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3 years ago

Granola Crunch cereal is packaged in 1 pound boxes. Susan Torres, a quality control analyst who works for the manufacturer of th

sineoko [7]

Answer:

$z=\frac{1.02-1}{\frac{0.04}{\sqrt{40}}}=3.162$

$p_v =2*P(z>3.162)=0.0016$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to to reject the null hypothesis, so we can conclude that the true mean is different from 1 pound at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=1.02$ represent the sample mean

$\sigma=0.04$ represent the population standard deviation

$n=40$ sample size

$\mu_o =1$ represent the value that we want to test

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

z 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 equal to 1 pound or no :

Null hypothesis: $\mu =1$

Alternative hypothesis: $\mu \neq 1$

Since we know the population deviation, 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:

$z=\frac{1.02-1}{\frac{0.04}{\sqrt{40}}}=3.162$

P-value

Since is a two-sided test the p value would be:

$p_v =2*P(z>3.162)=0.0016$

Conclusion

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3 years ago