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andrew-mc [135]
2 years ago
14

14. According to a recent government study, the average 15-year-old male gets 11.4% of his daily caloric intake from sugar drink

s.
If that 15-year-old consumes 2,400 calories each day, how many calories come from sugar drinks?
Mathematics
1 answer:
tatuchka [14]2 years ago
3 0

Answer:

273.6

Step-by-step explanation:

11.4% of his daily calories intake is from sugar drink.

If he consumes 2400 calories each day , the amouth that comes from sugar drink will be 11.4% /100% x 2400

0.114 x 2400

273.6

So 273.6 calories comes from sugar drinks

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Venn diagram ( attached image )
alexandr402 [8]

Assessing the given Venn diagram and the data related to it, we can answer the required question:

Q1. How many people were surveyed = 86.

Q2. What is the probability that a customer chosen at random:

a) takes salt P(S) = 46/85.

b) takes both salt and vinegar P(S ∩ V) = 13/85.

c) takes salt or vinegar or both P(S ∪ V) = 66/85.

The number of people who take salt chips n(S) = 46.

The number of people who take vinegar chips n(V) = 33.

The number of people who takes both n(S ∩ V) = 13.

The number of people who take neither n((S ∪ V)') = 19.

Therefore, the total number of people surveyed n(U) = n(S) + n(V) - n(S ∩ V) + n((S ∪ V)') = 46 + 33 - 13 + 19 = 85.

The number of people who takes salt or vinegar or both n(S ∪ V) = n(U) - n((S ∪ V)') = 85 - 19 = 66.

The probability that a customer chosen at random takes salt P(S) = n(S)/n(U) = 46/85.

The probability that a customer chosen at random takes both salt and vinegar P(S ∩ V) = n(S ∩ V)/n(U) = 13/85.

The probability that a customer chosen at random takes salt or vinegar or both P(S ∪ V) = n(S ∪ V)/n(U) = 66/85.

Learn more about Venn Diagrams at

brainly.com/question/24713052

#SPJ10

7 0
1 year ago
Jorge received a 3.1% increase in his pay at work. If he now makes $8.00 per hour, how much was he making before his raise? (Rou
Blababa [14]

Answer:

$7.76

Step-by-step explanation:

Let x be the amount he was making before the raise.

He had an increase of 3.1% of x added to x which resulted in a new salary of $8.00 per hour.

Mathematically:

(\frac{3.1}{100} * x) + x = 8\\\\0.031x + x = 8\\\\1.031x = 8\\\\=> x = 8 / 1.031

x = $7.76

He was making $7.76 before the raise.

4 0
3 years ago
Someone please help with the function
schepotkina [342]
The answer is 2.

This is because the line crosses the x axis in 2 different places.

Hope this helps!
4 0
2 years ago
What’s the answer<br><br><br> 5n-2=n+18
Sauron [17]

5n-2=n+18

Move n to the other side

Sign changes from +n to -n

5n-n-2= n-n+18

5n-n-2= 18

4n-2= 18

Move -2 to the other side

Sign changes from -2 to +2

4n-2+2= 18+2

4n= 18+2

4n= 20

Divide by 4 for both sides

4n/4= 20/4

Answer: n=5

4 0
3 years ago
Read 2 more answers
A right circular cylinder is inscribed in a sphere with diameter 4cm as shown. If the cylinder is open at both ends, find the la
SOVA2 [1]

Answer:

8\pi\text{ square cm}

Step-by-step explanation:

Since, we know that,

The surface area of a cylinder having both ends in both sides,

S=2\pi rh

Where,

r = radius,

h = height,

Given,

Diameter of the sphere = 4 cm,

So, by using Pythagoras theorem,

4^2 = (2r)^2 + h^2   ( see in the below diagram ),

16 = 4r^2 + h^2

16 - 4r^2 = h^2

\implies h=\sqrt{16-4r^2}

Thus, the surface area of the cylinder,

S=2\pi r(\sqrt{16-4r^2})

Differentiating with respect to r,

\frac{dS}{dr}=2\pi(r\times \frac{1}{2\sqrt{16-4r^2}}\times -8r + \sqrt{16-4r^2})

=2\pi(\frac{-4r^2+16-4r^2}{\sqrt{16-4r^2}})

=2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})

Again differentiating with respect to r,

\frac{d^2S}{dt^2}=2\pi(\frac{\sqrt{16-4r^2}\times -16r + (-8r^2+16)\times \frac{1}{2\sqrt{16-4r^2}}\times -8r}{16-4r^2})

For maximum or minimum,

\frac{dS}{dt}=0

2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})=0

-8r^2 + 16 = 0

8r^2 = 16

r^2 = 2

\implies r = \sqrt{2}

Since, for r = √2,

\frac{d^2S}{dt^2}=negative

Hence, the surface area is maximum if r = √2,

And, maximum surface area,

S = 2\pi (\sqrt{2})(\sqrt{16-8})

=2\pi (\sqrt{2})(\sqrt{8})

=2\pi \sqrt{16}

=8\pi\text{ square cm}

4 0
2 years ago
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