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Xelga [282]
4 years ago
15

A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie chan

nel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.
Which shows the correct values for the variables in the table?

A: a = 18, b = 34, c = 65
B: a = 34, b = 18, c = 68
C: a = 34, b = 68, c = 47
D: a = 47, b = 18, c = 68

Mathematics
2 answers:
Kaylis [27]4 years ago
5 0
The answer is B. Taking a look at the diagram, we see that there are 18 people in the overlap section, where people are both subscribers and below 25000. Hence b = 34. There are 34 people in the right-hand section, where they are subscribers but have an income that is not below 25000 (I.e. Above 25000). Hence a = 34. Finally, c is just the total of that row, so 55 + 13 = 68 = c.

I hope this helps you :)
Ierofanga [76]4 years ago
4 0

Answer:

The answer is B on Edge

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mojhsa [17]

Answer:

The answer is B.

Step-by-step explanation:

You have to use Pythogorean Theorem, c² = a² + b² where c is the hypotenuse and a,b is the side lengths :

{c}^{2}  =  {a}^{2}  +  {b}^{2}

Let a = 40,

Let b = 9,

{c}^{2}  =  {40}^{2}  +  {9}^{2}

{c}^{2}  = 1600 + 81

{c}^{2}  = 1681

c =  \sqrt{1681}

c = 41 \: units

*Take note, hypotenuse will <u>a</u><u>l</u><u>w</u><u>a</u><u>y</u><u>s</u><u> </u><u>b</u><u>e</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>l</u><u>o</u><u>n</u><u>g</u><u>e</u><u>s</u><u>t</u><u> </u><u>l</u><u>e</u><u>n</u><u>g</u><u>t</u><u>h</u> among the 3 lengths.

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3 0
3 years ago
A flower pot has a diameter of 6 feet. What is the area of the flower pot, to the nearest whole number?
Elodia [21]

Answer:

28 ft²

Step-by-step explanation:

The area of a circle is \pi r^2, where r = radius. To find the radius, we split the diameter in half.

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Now, let's find the area of the circle and approximate pi to 3.14.

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Therefore, the answer is 28 ft².

7 0
2 years ago
A typical cup of coffee contains about 100 mg of caffeine and every hour approximately 16% ofthe amount of caffeine inthe body i
Over [174]

Answer:

a) \frac{dC}{dt} = rC

And for this case we can rewrite the model like this:

\frac{dC}{C} = r dt

If we integrate both sides we got:

ln C = rt + k

If we use exponentials for both sides we got:

C = e^{rt} e^k = C_o e^{rt}

For this case C_o = 100 mg and r = -0.16

So then our model would be given by:

C(t) = 100 e^{-0.16 t}

Where t represent the number of hours

b) C(5) = 100 e^{-0.16*5}= 44.9329

Step-by-step explanation:

Part a

For this case we can assume the proportional model given by:

\frac{dC}{dt} = rC

And for this case we can rewrite the model like this:

\frac{dC}{C} = r dt

If we integrate both sides we got:

ln C = rt + k

If we use exponentials for both sides we got:

C = e^{rt} e^k = C_o e^{rt}

For this case C_o = 100 mg and r = -0.16

So then our model would be given by:

C(t) = 100 e^{-0.16 t}

Where t represent the number of hours

Part b

For this case we can replace the value t=5 into the model and we got:

C(5) = 100 e^{-0.16*5}= 44.9329

7 0
3 years ago
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hammer [34]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
HELP PLEASE!!! Thanks!
Irina18 [472]

Answer:

2) \frac{\sqrt{77}}{11}

3) 5√2

Step-by-step explanation:

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2. Here the given expressions,

\frac{\sqrt{7}}{\sqrt{11}}

For rationalising the denominator multiply both numerator and denominator by √11,

\frac{\sqrt{77}}{11}

3. given expression,

\sqrt{50}

=\sqrt{25\times 2}

=\sqrt{25}\times \sqrt{2}   (\because \sqrt{ab}=\sqrt{a}\sqrt{b})

=5\sqrt{2}

8 0
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