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mash [69]
3 years ago
8

NO LINKS

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0

Answer:

61.74%

Step-by-step explanation

Find the vol of container one: Volume = Pi(r^2)(height) = 3.14159*81*10 = 2544.69 cu.ft.

Find the vol of container two: Pi(r^2)(height) = 1570.79 cu.ft.

Now the % of container A that is empty is

(1 - ((Volume A - Volume B)/Volume A))*100% = 61.73%

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A car insurance company has determined that 66​% of all drivers were involved in a car accident last year. Among the 1010 driver
jenyasd209 [6]

Answer: Our required probability is 0.618.

Step-by-step explanation:

Since we have given that

Probability of all drivers were involved in a car accident last year = 66%

Number of drivers = 10

Number of drivers involved in a car accident = 3

So, probability of drivers involved in car accident is given by

\dfrac{3}{10}\\\\=0.3

Probability of getting 3 or more who were involved in a car accident is given by

P(X≥3)=1-P(X=0)-P(X=1)-P(X=2)

Here,

P(X=0)=^{10}C_0(0.7)^{10}=0.028\\\\P(X=1)=^{10}C_1(0.7)^9(0.3)=0.121\\\\P(X=2)=^{10}C_2(0.7)^8(0.3)^2=0.233

So, our equation becomes

P(X≥3)=1-P(X=0)-P(X=1)-P(X=2)

P(X\geq 3)=1-0.028-0.121-0.233=0.618

Hence, our required probability is 0.618.

4 0
3 years ago
Each side of a square is increasing at a rate of 6cm/s. At what rate is the area of the square increasing when the area of the s
diamong [38]
Area of a square = length²
A = x²
16 = x²; x = 4
dA/dx = 2x cm²/s
dx/dt = 6 cm/s
Using chain rule:
dA/dt = dA/dx * dx/dt
dA/dt = 2x * 6
dA/dt = 12x
At x = 4,
dA/dt = 12(4) = 48 cm²/s
7 0
4 years ago
Find (a) the mean, (b) the median, and
VikaD [51]

Answer:

Mean = 33+ 22+35+27+23+35+27+36 = 238/8 = 29.75

Median = 27+23 = 50/2 = 25

Mode = 35

Range = 36 - 22 = 14

Step-by-step explanation:

Stay Blessed

5 0
3 years ago
Two angles form a linear pair. The measure of one angle is 1 and 1/2 times the measure of the other angle. Find the measure of e
valentinak56 [21]

Answer:

Step-by-step explanation: If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar.

6 0
3 years ago
Căn bậc hai số học của 9 là<br> A. 3−. B. 3. C. 81. D. 81−.
Fynjy0 [20]

Answer:

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Step-by-step explanation:

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