If angle 2 is 97 what is the measurement of angle 1

Neptune completes 1 1/2 truns about its axis each day.how many truns does it complete in 1 week?

strojnjashka [21]

Answer:Fractions Word Problems – Grade 8

Solve these on a separate sheet of paper.

The following word problems may require you to add, subtract, multiply or

divide fractions.

Read each problem carefully to choose the correct operation. Some of

these are tricky! Be sure to show your work and state your answer in a

sentence!

1. The girl’s hockey team won 6 games, lost 3 games, and tied 2 games. What

fraction of games did they win?

2. In a full set of permanent teeth, ¼ of the teeth are incisors, ¼ are premolars,

and 3/8 are molars. What fraction of all the teeth are incisors, premolars and

molars?

3. Chad made a snack by combining 1/3 of a bowl of granola with ¼ of a bowl of

chopped banana and ½ of a bowl of yoghurt. Did one bowl hold all of the

ingredients at one time? Explain.

4. In the first two hockey games of the year, Rodayo played 1 ½ periods and 1

¾ periods. How many periods in all did he play?

5. Neptune completes 1 ½ turns about its axis each day. How many turns does

it complete in 1 week?

6. Shane has a piece of rope that is 7 4/5 units long. If he cuts it into pieces that

are each 3/5 of a unit long, how many pieces does he have?

7. About

4

3

of the students on the track team are girls. About

4

3

of these girls

are in grade 8. What fraction of the students on the track team are grade 8

girls?

8. Mara spent 3/5 of her vacation in British Columbia. While in that province,

she spent ½ of her time in Vancouver. What fraction of her vacation did

Michaela spend in Vancouver? If her vacation lasted 20 days, how many

days did she spend in Vancouver?

9. Nick mowed about

5

3

of the school lawn yesterday. He mowed another

4

1

of

the lawn this morning. How much is left to mow?

10. Jackie used to be on the phone

2

1

3 times as much as her brother. Her

parents threatened to take away the phone, so she cut down to

5

2

of the time

she used to be on the phone. How many times as much as her brother is

Jackie now on the phone?

Step-by-step explanation:

5 0

2 years ago

An octagon can be used to form a pure tessellation. T or F

kap26 [50]

I think it is F. Because im just guessing.

3 0

3 years ago

A maker of a certain brand of low-fat cereal barsclaims that the average saturated fat content is 0.5gram. In a random sample of

finlep [7]

Answer:

$t=\frac{0.475-0.5}{\frac{0.183}{\sqrt{8}}}=-0.386$

$p_v =2*P(t_{(7)}$

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is different from 0.5 at 5% of signficance. So then the claim makes sense

Step-by-step explanation:

Previous concepts

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=0.475$

The sample deviation calculated $s=0.183$

We need to conduct a hypothesis in order to check if the true mean is 0.5 or no, the system of hypothesis would be:

Null hypothesis: $\mu = 0.5$

Alternative hypothesis: $\mu \neq 0.5$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-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:

$t=\frac{0.475-0.5}{\frac{0.183}{\sqrt{8}}}=-0.386$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=8-1=7$

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

$p_v =2*P(t_{(7)}$

Conclusion

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is different from 0.5 at 5% of signficance. So then the claim makes sense

4 0

3 years ago

Read 2 more answers

A Standard number is<br> tossed find each<br> Probability.<br> P (4 or less than 6)

Klio2033 [76]

the probability of rolling 4 or a number less than 6 is P = 5/6

<h3 /><h3>How to find the probability?</h3>

The standard number cube has the outcomes {1, 2, 3, 4, 5, 6}

We want to find the probability of rolling 4 or a number less than 6. (4 is a number less than 6).

The outcomes that meet that condition are:

{1, 2, 3, 4, 5}

So 5 out of 6 outcomes meet the condition, then the probability is: