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2 years ago

Find the value of x.

Mathematics

2 answers:

Paul [167]2 years ago

6 0

Hello!

As we are looking for the opposite side and hypotenuse, we will use the sine.

sin30=1/2

This gives us the equation below.

1/2= 5/x

1/2x=5

x=10

Therefore, x=10.

I hope this helps!

RSB [31]2 years ago

3 0

Since an angle and a side have been given, we use the formula on the diagram

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in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine

makkiz [27]

Answer:

$\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}$

Step-by-step explanation:

Step 1: Define significance level

In this hypothesis testing problem, significance levels α is selected: $0.05$ , the associated z-value from Laplace table:

Φ( $z$ ) = α - $0.5 = 0.05 - 0.5 = -0.45$

=> $z$ = $-1.645$

Step 2: Define null hypothesis ( $H_{0}$ ) and alternative hypothesis ( $H_{1}$ )

$H_{0}$ : rate of flu infection $p$ = 8.3% or 8.3/100 = 0.083

$H_{1}$ : rate of flu infection $p$ < 8.3% or 8.3/100 = 0.083

Step 3: Apply the formula to check test statistic:

$K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}$

with $f$ is actual sampling percent, $p$ is rate of flu infection of $H_{0}$ , $n$ is number of samples.

The null hypothesis will be rejected if $K < z$

Step 4: Calculate the value of K and compare with $z$

$K = \frac{(\frac{3.5}{100}) - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46$

We have $-2.46 < -1.645$

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As $H_{1}$ states)

Hope this helps!

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3 years ago

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Answer:

Step-by-step explanation:

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Norma-Jean [14]

The change in the stock market from the beginning of the day to the end of the day is 29 3/4

<h3>How to determine the change in the stock market from the beginning of the day to the end of the day?</h3>

The given parameters are:

Beginning = 60 3/4

End = 90 1/2

The change in the stock market from the beginning of the day to the end of the day is calculated as;

Change = End - Beginning

So, we have

Change = 90 1/2 - 60 3/4

Evaluate

Change = 29 3/4

Hence, the change in the stock market from the beginning of the day to the end of the day is 29 3/4