Select all expressions equivalent to<br>3 ¹/2 * 4 + 1 *5 + 6 * 0.5

A scientist claims that 6% of viruses are airborne. (a) If the scientist is accurate, what is the probability that the proportio

soldi70 [24.7K]

Answer:

Probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8% is 0.9545.

Step-by-step explanation:

For the given population the distribution of air-borne viruses is given as 6%. Now for this the value of Z score is given as

$Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}$

Here

$\hat{p}$ is the sample measure which is 8% or 0.08
p is the population measure which is 6% or 0.06
n is the number of samples which is 529

So the Z score is given as

$Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}\\Z=\dfrac{0.08-0.06}{\sqrt{\dfrac{0.08(1-0.08)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.08(0.92)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.0736}{529}}}\\Z=\dfrac{0.02}{0.01179}\\Z=1.6955$

For this the score, the value of probability is calculated from the table as below:

$P(\hat{p}>0.08)=p(Z>1.6955)\\=1-p(Z$

Here value of p(Z<-1.6955) is given as 0.0455

$P(\hat{p}>0.08)=p(Z>1.6955)\\P(\hat{p}>0.08)=1-p(Z0.08)=1-0.0455\\P(\hat{p}>0.08)=0.9545$

7 0

3 years ago

Pretty pplease help :))

Sunny_sXe [5.5K]

Answer:

Approx. 423.88 feet squared

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Can someone help me solve y=x+12 ? y = -10

djyliett [7]

Answer:

X= 22

Explanation:

Add 10 to both sides and then x is 22

4 0

3 years ago

Read 2 more answers

6. You want to save $1,000,000 in 40 years at a 3.5% interest rate. What is the principal (initial amount) you need to invest? R

labwork [276]

Answer:

When you deposit money in a bank, the bank usually pays you for the use of your money. When you take out a loan from a bank, you have to pay the bank for the use of their money. In both cases, the money paid is called the interest. It is usually expressed as a percent. Here we shall look at a formula for simple interest.

3 0

3 years ago

What is the equation of the quadratic graph with a focus of (-4,17/8) and a directrix of y=15/8

Temka [501]

So hmm notice the graph below

based on where the focus point is at, and the directrix, then, the parabola is opening upwards, meaning the squared variable is the "x"

$\bf \begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})}\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}$

now, keep in mind, the vertex is at coordinates h,k
the vertex itself is half-way between the focus and directrix
the directrix is at y=15/8 and the focus is at y=17/8
so, half-way will then be $\bf \cfrac{17}{8}-\cfrac{15}{8}=\cfrac{2}{8}\iff \cfrac{1}{4}$

well, so is 1/4 between the focus point and the directrix, half of that is 1/8
so, if you move from the focus point 1/8 down, you'll get the y-coordinate for the vertex, or 1/8 up from the directrix, since the vertex is equidistant to either

what's the "p" distance? well, we just found it, is just 1/8

so, the x-coordinate is obviously -4, get the y-coordinate by 17/8 - 1/8 or 15/8 + 1/8

and plug your values (x-h)² = 4p(y-k) and then solve for "y", that's the equation of the quadratic

4 0

3 years ago

Select all expressions equivalent to3 ¹/2 * 4 + 1 *5 + 6 * 0.5​

Select all expressions equivalent to3 ¹/2 * 4 + 1 5 + 6 0.5