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erma4kov [3.2K]
3 years ago
11

Suddenly, the number of problems the mathletes have to solve increases by 60%! To keep on track, the mathletes try to go faster

but are only able to increase their speed by 25%. By what percent must the number of mathletes on the team increase so they solve all the problems in time, as scheduled?
Mathematics
2 answers:
stiv31 [10]3 years ago
6 0

Answer:

28%

Step-by-step explanation:

Lets say the fraction of speed and problem solved is 100/100

the number of problems solved increases by 60%

so now it is 160/100, also the speed increases by 25%

so now we do 160/125=1.28

finally we do 1.28-1 = 28%

Therefore the answer is 28%.

hope this helps

sesenic [268]3 years ago
4 0

Answer:

28%

Step-by-step explanation:

I did it and it was right

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Step-by-step explanation:

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3 years ago
Given that the average rate of change for y = f(x) over the interval [0,3] is −1, the average rate of change over the interval [
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Answer:

Answer is 2

Step-by-step explanation:

We know that average rate of change of a function f(x) in the interval (a,b) is

\frac{1}{b-a} \int\limits^a_b {f(x)} \, dx

Using this we can say that

\int\limits^0_3 {f(x)} \, dx =-1(3)=-3\\\int\limits^2_3 {f(x)} \, dx =5(1)=5\\\\\int\limits^2_6 {f(x)} \, dx =4(5)=20\\

Using properties of integration we have

3 to 6 integral = 20-5 =15

0 to2 integral = -3=5 =-8

Thus integral form 0 to 6 would be = -8+15+5 = 12

Average rate of change form 0 to 6 = \frac{12}{6} =2

Answer is 2

7 0
3 years ago
A student stands 20 m away from the foot
Ostrovityanka [42]

Answer:

Height of tree is \approx <em>15 m.</em>

<em></em>

Step-by-step explanation:

Given that student is 20 m away from the foot of tree.

and table is 1.5 m above the ground.

The angle of elevation is: 34°28'

Please refer to the attached image. The given situation can be mapped to a right angled triangle as shown in the image.

AB = CP = 20 m

CA = PB = 1.5 m

\angle C = 34°28' = 34.46°

To find TB = ?

we can use trigonometric function tangent to find TP in right angled \triangle TPC

tan \theta = \dfrac{Perpendicular}{Base}\\tan C= \dfrac{PT}{PC}\\\Rightarrow tan 34.46^\circ = \dfrac{PT}{20}\\\Rightarrow PT = 20 \times 0.686 \\\Rightarrow PT = 13.72\ m

Now, adding PB to TP will give us the height of tree, TB

Now, height of tree TB = TP + PB

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7 0
3 years ago
Simplify -2x + 5x + 10 - 8
SOVA2 [1]

Answer:

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Step-by-step explanation:

7 0
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zzz [600]

If two events are independent, then

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Use formulas for conditional probabilities:

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Now in your case Pr(A)=x,\ Pr(B)=y and Pr(A|B)=x,\ Pr(B|A)=y, Pr(A\cap B)=x\cdot y.

This shows that the only correct choice is A.

5 0
3 years ago
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