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3 years ago

Identify the pairs of corresponding angles

Mathematics

1 answer:

topjm [15]3 years ago

6 0

Answer: A

Step-by-step explanation:

If you flip the second triangle straight upwards so that x is on top and z,y are on the bottom, you could visualize the points and angles in the same locations.

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15. If a number x is rational, must the number x² be rational as well? Explain.

sammy [17]

The square of a rational number is a rational number.

<h3>What are rational numbers?</h3>

A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.

A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.

Therefore, rational numbers are express as follows; p / q.

Hence, x is a rational number . let's confirm that x² is rational or not.

Therefore, When we square a rational number, each prime factor has an even exponent.

For example

p / q = p²/ q²

Hence, the square is a rational number.

learn more on rational number: brainly.com/question/14066831

#SPJ1

8 0

2 years ago

What is the percent of change from 58 to 29? also thank you guys for helping me?

zhannawk [14.2K]

It's a percent decrease and it decreases by -50%

8 0

4 years ago

The local oil changing business is very busy on Saturday mornings and is considering expanding. A national study of similar busi

eimsori [14]

Answer:

$t=\frac{4.2-3.6}{\frac{1.4}{\sqrt{16}}}=1.714$

Reject the null hypothesis if the observed "t" value is less than -2.131 or higher than 2.131

Rejection Zone: $t_{calculated}$ or $t_{calculated}>2.131$

In our case since our calculated value is not on the rejection zone we don't have enough evidence to reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Previous concepts and data given

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".

$\bar X=4.2$ represent the sample mean

$s=1.4$ represent the sample standard deviation

n=16 represent the sample selected

$\alpha=0.05$ significance level

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is different from 3.6, the system of hypothesis would be:

Null hypothesis: $\mu = 3.6$

Alternative hypothesis: $\mu \neq 3.6$

If we analyze the size for the sample is < 30 and we 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:

$t=\frac{4.2-3.6}{\frac{1.4}{\sqrt{16}}}=1.714$

Critical values

On this case since we have a bilateral test we need to critical values. We need to use the t distribution with $df=n-1=16-1=15$ degrees of freedom. The value for $\alpha=0.05$ and $\alpha/2=0.025$ so we need to find on the t distribution with 15 degrees of freedom two values that accumulates 0.025 of the ara on each tail. We can use the following excel codes:

"=T.INV(0.025,15)" "=T.INV(1-0.025,15)"

And we got $t_{crit}=\pm 2.131$

So the decision on this case would be:

Reject the null hypothesis if the observed "t" value is less than -2.131 or higher than 2.131

Rejection Zone: $t_{calculated}$ or $t_{calculated}>2.131$

Conclusion

In our case since our calculated value is not on the rejection zone we don't have enough evidence to reject the null hypothesis at 5% of significance.

3 0

4 years ago

Jordan wants to conduct an experiment to see if plant food makes a difference in how well plants grow. He gets 10 pots and plant

Irina18 [472]

Answer:

B. No, because Jordan should have used the same type of seeds in each pot, and should have recorded the type of seeds.

Step-by-step explanation:

<u>This was the answer from Study Island.</u>

8 0

3 years ago

Tony throws the dice once.He also throws a coin to get heads or tails.Two of the outcomes are 1H 2H

aleksley [76]

Answer:

<u>1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, and 6T.</u>

Explanation:

The quetion is:

<em>list all the outcomes in the same format </em>

<h2 /><h2>Solution</h2>

Understand the format:

first character is the number that appears on the top face of the dice: it can be 1, 2, 3, 4, 5, or 6.

second charater is one of two letters that represent the flip of the coin: H for heads or T for tails.

Then, the list of the combinations that represent all the possible outcomes is:

1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, and 6T.

They are 12 possible outcomes: 6 × 2 = 12: 6 from the 6 possible outmoes of the dice, and 2 for the two possible outcomes of the coin.

4 0

4 years ago