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Vanyuwa [196]
4 years ago
12

A survey asked students at Wilson Academy which status they would prefer—to be happy, healthy, or rich—and how much pressure the

y felt from their homework. The two-way table of row relative frequencies below shows the data.

Mathematics
1 answer:
Brrunno [24]4 years ago
7 0

Answer:

A. A student who prefers to be healthy is more likely to feel very little pressure from homework than a student who prefers to be rich.

Step-by-step explanation:

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Given the figure. Find AC.
Angelina_Jolie [31]

Image is missing, so i have attached it.

Answer:

AC = 10sin 40°

Step-by-step explanation:

From the diagram attached, using terms in trigonometric ratio, AC is the opposite side, BC is the adjacent side and AB is the hypotenuse.

Thus, since we want to find AC;

We know that in trigonometric ratios; opposite/hypotenuse = sin θ

In the diagram, θ = 40° and AB = 10

Thus,

AC/10 = sin 40°

Multiply both sides by 10 to get;

AC = 10sin 40°

7 0
4 years ago
Please help logarithms!
nlexa [21]

Given:

\log_34\approx 1.262

\log_37\approx 1.771

To find:

The value of \log_3\left(\dfrac{4}{49}\right).

Solution:

We have,

\log_34\approx 1.262

\log_37\approx 1.771

Using properties of log, we get

\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_349      \left[\because \log_a\dfrac{m}{n}=\log_am-\log_an\right]

\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_37^2      

\log_3\left(\dfrac{4}{49}\right)=\log_34-2\log_37          [\log x^n=n\log x]

Substitute \log_34\approx 1.262 and \log_37\approx 1.771.

\log_3\left(\dfrac{4}{49}\right)=1.262-2(1.771)

\log_3\left(\dfrac{4}{49}\right)=1.262-3.542

\log_3\left(\dfrac{4}{49}\right)=-2.28

Therefore, the value of \log_3\left(\dfrac{4}{49}\right) is -2.28.

5 0
3 years ago
If your invest $150 at 7% interest compounded annually,in how many years will you have $400?. Give your answer of the nearest te
taurus [48]

Answer:

14.5 years.

Step-by-step explanation:

Given that you invest $150 at 7% interest compounded annually. Now we need to find about in how many years will you have $400. Then round the  answer ot the nearest tenth of a year.

So plug the given values into compound interest formula.

A=P\left(1+r\right)^t

400=150\left(1+0.07\right)^t

\frac{400}{150}=\left(1+0.07\right)^t

\ln\left(\frac{400}{150}\right)=\ln\left(1+0.07\right)^t

\ln\left(\frac{400}{150}\right)=\ln\left(1.07\right)^t

\ln\left(\frac{400}{150}\right)=t\cdot\ln\left(1.07\right)

\frac{\ln\left(\frac{400}{150}\right)}{\ln\left(1.07\right)}=t

14.4967313882=t

Which is approx 14.5 years.

8 0
4 years ago
What is the volume of this prism?<br><br> 23.9<br> 47.7<br> 9.0<br> 4.5
anyanavicka [17]
Your answer would be 23.85 but I presume they rounded up so it would be 23.9
4 0
3 years ago
WILL MARK BRAINLIEST Which of the following represents members of the domain of the graphed function?
Stolb23 [73]

Answer:

D

Step-by-step explanation:

Ngl I was confused for a minute. But domain is asking for the x-values and range is asking for the y-values.

You can see the points on the graph are (-4,1), (-2,2), (0, 3), and (2,4).

Because it is asking for the domain, it is asking for the X VALUES of the points you have found above. So the answer is {-4, -2, 0, 2}

So none of those answers look quite right

The reason I picked D is because it is the only one that contains the x values we picked. The rest have numbers outside the domain, such as 3, 4, 5, etc.

7 0
3 years ago
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