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kolbaska11 [484]
3 years ago
6

Someone help please Find the sine of

Mathematics
1 answer:
Aleksandr [31]3 years ago
4 0

Answer:

5/13

Step-by-step explanation:

The sine of angle r is opposite over hypothenuse,5/13.

If you need help with sine cosine and tangent just remeber

sohcahtoa This means sine=opposite over hypotenuse, cosine=adjacent over hypotensuse, tangent=opposite over adjacent.

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A laptop producing company also produces laptop batteries, and claims that the batteries
gregori [183]

Answer:

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours. (P-value = 0).

The null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

Step-by-step explanation:

<em>The question is incomplete: To test this claim a sample or population standard deviation is needed.</em>

<em>We will estimate that the sample standard deviation is 2 hours, and use a t-test to test that claim.</em>

<em> NOTE (after solving): The difference between the sample mean and the mean of the null hypothesis is big enough to reject the null hypothesis, even when we have a sample standard deviation of 3.5 hours, which can be considered bigger than the maximum standard deviation for the sample.</em>

This is a hypothesis test for the population mean.

The claim is that the batteries power the laptops for significantly less than 4 hours.

Then, the null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

The significance level is 0.05.

The sample has a size n=500.

The sample mean is M=3.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=2.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{500}}=0.0894

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{3.5-4}{0.0894}=\dfrac{-0.5}{0.0894}=-5.5902

The degrees of freedom for this sample size are:

df=n-1=500-1=499

This test is a left-tailed test, with 499 degrees of freedom and t=-5.5902, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours.

5 0
3 years ago
A bag contains 6 red apples and 6 yellow apples. A sample of 3 apples is drawn. Find the probability that the sample contains mo
lys-0071 [83]

Answer: 21/44

Step-by-step explanation:

Given that:

Bag contains :

6 red apples

6 yellow apples

Number of samples drawn = 3

Probability that sample contains more red than yellow :

Then from the three samples, red = 2 and yellow = 1 or red for all 3

Prob of RRR = (6/12)(5/11)(4/10)= 120 / 1320

Prob RRY = (6/12)(5/11)(6/10)= 150/1320

Prob RYR is (6/12)(6/11)(5/10)= 180/1320

Prob YRR is (6/12)(6/11)(5/10)=180/1320

120/1320 + 150/1320 + 180/1320 +. 180/1320 = 630/1320 =126/264 = 42/88 = 21/44

3 0
3 years ago
What are the ratios of sine, cosine, and tangent for angle Y? sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFra
Sholpan [36]

Answer:

\sin Y= \frac{XZ}{XY}

\cos Y= \frac{YZ}{XY}

\tan Y= \frac{XZ}{YZ}

Step-by-step explanation:

Given

See attachment for triangle

Required

Find \sin, \cos and \tan of angle Y

For angle Y:

Opposite = XZ

Adjacent = YZ

Hypotenuse = XY

The \sin of an angle is calculated as:

\sin\theta = \frac{Opposite}{Hypotenuse}

So:

\sin Y= \frac{XZ}{XY}

The \cos of an angle is calculated as:

\cos\theta = \frac{Adjacent}{Hypotenuse}

So:

\cos Y= \frac{YZ}{XY}

The \tan of an angle is calculated as:

\tan\theta = \frac{Opposite}{Adjacent}

So:

\tan Y= \frac{XZ}{YZ}

7 0
2 years ago
Read 2 more answers
A garage sells 12 different models of a car in 9 different colours.
fomenos

Answer:

108

Step-by-step explanation:

12 x 9 =108

7 0
3 years ago
Read 2 more answers
The first person to answer this question and get it right will be marked as Brainiest!
Advocard [28]

Answer:

There is not enough info to draw valid conclusion

Step-by-step explanation:

Hope this helps

8 0
3 years ago
Read 2 more answers
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