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bekas [8.4K]
2 years ago
12

What is the value of x round to the nearest tenths

Mathematics
1 answer:
ICE Princess25 [194]2 years ago
3 0

Answer:

x = 24.6

Step-by-step explanation:

Reference angle = 26°

Opposite side to reference angle = 12

Adjacent side = x

Thus, apply TOA (trigonometric ratio)

Tan 26 = opp/adj

Tan 26 = 12/x

x × tan 26 = 12

x = 12/(tan 26)

x = 24.6 (nearest tenths)

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Anvisha [2.4K]
The answer is C. 1/2

Hope this helps!
4 0
2 years ago
A student carried out an experiment to determine the amount of vitamin C in a tablet sample. He performed 5 trials to produce th
ivolga24 [154]

Answer:

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

P-value = 0.166.

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{5}(490+502+505+495+492)\\\\\\M=\dfrac{2484}{5}\\\\\\M=496.8\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{4}((490-496.8)^2+(502-496.8)^2+(505-496.8)^2+(495-496.8)^2+(492-496.8)^2)}\\\\\\s=\sqrt{\dfrac{166.8}{4}}\\\\\\s=\sqrt{41.7}=6.5\\\\\\

Then, we can perform the hypothesis t-test for the mean.

The claim is that the amount of vitamin C in a tablet sample is different from 500 mg.

Then, the null and alternative hypothesis are:

H_0: \mu=500\\\\H_a:\mu< 500

The significance level is 0.05.

The sample has a size n=5.

The sample mean is M=496.8.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.5.

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

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6.5}{\sqrt{5}}=2.907

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{496.8-500}{2.907}=\dfrac{-3.2}{2.907}=-1.1

The degrees of freedom for this sample size are:

df=n-1=5-1=4

This test is a left-tailed test, with 4 degrees of freedom and t=-1.1, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.166) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

4 0
2 years ago
A = 6, b = 8, C = 10
ad-work [718]

Answer:

43

Step-by-step explanation:

3 0
3 years ago
A copy machine makes 24 copies per minute. How long does it take to make 90 copies?
quester [9]

that would be 3 minutes and 45 seconds (:

5 0
3 years ago
Change this root into a power.
Nadusha1986 [10]

Answer:

3^2/5

Step-by-step explanation:

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