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Mumz [18]
2 years ago
11

Find the value of a in the diagram of the right triangle. Round to the nearest tenth.

Mathematics
1 answer:
fiasKO [112]2 years ago
8 0

Answer:

The answer is the option B

a=24.2\ in

Step-by-step explanation:

we know that

In the right triangle of the figure

sin(27\°)=\frac{11}{a}

Solve for a

a=\frac{11}{sin(27\°)}

a=24.2\ in

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Which is the biggest number 2.07 2.24 2.4 2 2.04
Temka [501]
Among all these no., see the first no. that lies before or left side of decimal point, here... 2 is common so next check the no. After decimal... 2.0, 2.2, 2.4, 2 is considered as 2.0 and then we have 2.0... Let's not take 2.0s and let's take 2.2 and 2.4 which is greater than 2.0. Next see the second no. That comes after decimal We have 2.24 and 2.4 which can be taken as 2.40... The no.s after decimal, 24 is greater than 40 so 2.4 is greater...
3 0
3 years ago
A cereal box filling machine is designed to release an amount of 16 ounces of cereal into each box, and the machine’s manufactur
Paraphin [41]

Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean is not different to 16 ounces, that is:

H_0: \mu = 16

At the alternative hypothesis, it is tested if the mean is different, hence:

H_1: \mu \neq 16

<h3>What is the test statistic?</h3>

The test statistic is:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

In which:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • \sigma is the standard deviation of the population.
  • n is the sample size.

The parameters for this problem are:

\overline{x} = 15.75, \mu = 16, \sigma = 1.46, n = 150.

Hence:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{15.75 - 16}{\frac{1.46}{\sqrt{150}}}

z = -2.1

<h3>What is the p-value and the conclusion?</h3>

Using a z-distribution calculator, for a two-tailed test, as we are testing if the mean is different of a value, with z = -2.1, the p-value is of 0.0357.

Since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

3 0
1 year ago
90.5 rounded to the nearest one
sladkih [1.3K]

Answer:

91

Step-by-step explanation:

90.5 needs to be a whole number, and if it ends in 5 you round it up

5 0
2 years ago
Read 2 more answers
Perform the following operations and prove closure. Show your work.<br><br> (x/x+3) + (x+2/x+5)
Westkost [7]

Answer:

\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}

Step-by-step explanation:

We need to sum the following two expressions:

\frac{x}{x+3} + \frac{x+2}{x+5}

\frac{x(x+5) + (x+2)(x+3)}{(x+3)(x+5)}

expanding the polynomial in the numerator:

\frac{2x^{2} + 10x + 6}{(x+3)(x+5)}

\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}

This is the most simplified form we can get:

\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}

8 0
3 years ago
Read 2 more answers
23) 2,747<br> What’s the quotient
Basile [38]

Answer:

119.434783

Step-by-step explanation:

Long division.

8 0
3 years ago
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