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shtirl [24]
4 years ago
6

a circle has a diameter of 10 what is the area of the circle? use 3.14 for pi. round to the nearest hundredth

Mathematics
1 answer:
Vika [28.1K]4 years ago
8 0

Answer:

78.5

Step-by-step explanation:

A =  pir^2

diameter  = 2r

r = 5

5^2 = 25

25x 3.14 = 78.5

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The weather forecaster says that the probability of rain on Saturday is 20% and the probability of rain on Sunday is 30%. a. Can
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Answer:

0.44

Step-by-step explanation:

given that the weather forecaster says that the probability of rain on Saturday is 20% and the probability of rain on Sunday is 30%.

It is common sense to know that Saturday and Sunday are independent of the other

Hence Probability that it rains on both days = 0.2*0.3=0.06

Since for independent events joint probability is the product of probabilities

required probability

= probability of rain over the weekend (Saturday or Sunday

= P(Sunday)+P(Saturday) -P(both)

=0.2+0.3-0.06\\=0.44

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4 years ago
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4 years ago
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Answer:

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Step-by-step explanation:

3 0
2 years ago
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One canned orange juice is 25% orange juice another is 5% orange juice. How many liters of each should be mixed together in orde
Cerrena [4.2K]

Answer:

X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y  (3)

Replcaing equation (3) into equation (2) we got:

0.75(6.4 -0.2 Y) +0.95 Y = 18.4

And solving for Y we got:

4.8 -0.15 Y +0.95 Y = 18.4

0.8 Y = 13.6

Y = 17

And solving for X from equation (3) we got:

X= 6.4 -0.2*17 = 3

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

Step-by-step explanation:

For this problem we can work with the concentration of water and orange juice.

Let X the amount for the orange juice with 25% content and Y the amount for the orange juice with 5% of content

Using the concentration of orange juice we have:

0.25 X + 0.05 Y = 20*0.08  (1)

And for the water we have:

0.75 X + 0.95Y = 20*0.92  (2)

If we solve for X from equation (1) we got:

X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y  (3)

Replcaing equation (3) into equation (2) we got:

0.75(6.4 -0.2 Y) +0.95 Y = 18.4

And solving for Y we got:

4.8 -0.15 Y +0.95 Y = 18.4

0.8 Y = 13.6

Y = 17

And solving for X from equation (3) we got:

X= 6.4 -0.2*17 = 3

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

7 0
3 years ago
In how many ways can the digits in the number 4,313,133 be arranged
pshichka [43]

Answer:

All of them can be arranged.

Step-by-step explanation:

Hope this helps. :D

6 0
3 years ago
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