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2 years ago

NEED HELP FAST!

Mathematics

1 answer:

saveliy_v [14]2 years ago

8 0

That is a 45 45 90 triangle.The hypotenuse of such a triangle equals one of the legs multiplied by the square root of 2.300 * sq root (2)=300 * 1.4142135624 Distance "D" = 300 * 1.4142135624 Distance "D" = 424.3 meters
(rounded to the nearest 10th of a meter.
 
Source:http://www.1728.org/trig2.htm

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Which expressions represent rational numbers? select all the apply. startroot 100 endroot startroot 100 endroot 13.5 startroot 8

zlopas [31]

The expressions are irrational 1/3 + √216 and √64+ √353 and the expressions √100 × √100, 13.5 + √81, √9 + √729, and 1/5 + 2.5 are rational number.

<h3>What is a rational number?</h3>

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

1. √100 × √100

→ √100 × √100

→ 10 × 10 = 100

This is a rational number.

2. 13.5 + √81

→ 13.5 + √81

→ 13.5 + 9 = 22.5

This is a rational number.

3. √9 + √729

→ √9 + √729

→ 3 + 27 = 30

This is a rational number.

4. √64+ √353

→ √64 + √353

→ 8 + √353

This is an irrational number.

5. 1/3 + √216

→ 1/3 + √216

This is an irrational number.

6. 1/5 + 2.5

→ 1/5 + 2.5

→ 0.2 + 2.5 = 2.7

This is a rational number.

More about the rational number link is given below.

brainly.com/question/9466779

7 0

2 years ago

50 points!!!Adam recorded the number of flower blooms on each of his ten rose bushes. 9, 10, 4, 12, 15, 17, 18, 10, 12, 13If he

lyudmila [28]

Answer:

Step-by-step explanation:

9, 10, 4, 12, 15, 17, 18, 10, 12, 13

Putting the numbers from smallest to largest

4,9, 10, 10, 12 12, 13, 15, 17, 18,

The median is the middle number

There are 10 numbers

4,9, 10, 10, 12 12, 13, 15, 17, 18,

The middle number is between the 12's, so it is 12

6 0

3 years ago

Read 2 more answers

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.

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3 years ago

What is the rule help I’m to stupid

aalyn [17]

Answer:

2/24

5/60

7/84

10/120

12/144

Step-by-step explanation:

rule is y=12x (Flavoring = x, Water = y)

Ex: y=12x

24=2x

$\frac{24}{2} =\frac{2x}{2}$

2=x

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3 years ago

Brown bats sleep for 20 hours each day. How many hours per week are they awake? How many hours per year are they awake

icang [17]

(20)(7) = 140 hours per week
(20)(365) = 7300 hours per year

7 0

3 years ago