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3 years ago

- Solving problems

Mathematics

1 answer:

Ad libitum [116K]3 years ago

4 0

Answer:256, 662, 999.89, 1,000.54

Step-by-step explanation:

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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!

5 0

3 years ago

What is an equation of the line that passes through the point (5,-3) and is parallel to the line x+5y=45?

zvonat [6]

$\btext{x+5y=-10}$

Step-by-step explanation:

When two lines are parallel,their slopes are equal.

Given line is $x+5y=45$ .

Let $m$ be the slope of the line.

$m=-5$ .

It is given that the line passes through the point $(5,-3)$ .

The equation of the line passing through $(x_{1},y_{1})$ and has slope $m$ is $y-y_{1}=m(x-x_{1})$

$x_{1}=5$

$y_{1}=-3$

$m=-5$

So, the equation is $y-5=-5(x+3)$

which simplifies to $x+5y=-10$

6 0

3 years ago

Which of the following is equal to the sqrt 9*4

olga2289 [7]

$\sqrt{a}=b\iff b^2=a\ for\ a\geq0\ \wedge\ b\geq0\\---------------------\\\\Method\ \#1:\\\\\sqrt{9\cdot4}=\sqrt{36}=6\ because\ 6^2=36\\\\d)\ \sqrt9\cdot\sqrt4=3\cdot2=6\\\\\sqrt9=3\ because\ 3^2=9;\ \sqrt4=2\ because\ 2^2=4\\\\Answer:\ \boxed{d)\ \sqrt9\cdot\sqrt4}\\\\Method\ \#2:\\\\\text{use}\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{9\cdot4}=\sqrt9\cdot\sqrt4\\\\\text{Therefore your answer is}\ \boxed{d)}$