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tester [92]
2 years ago
7

A bouncy ball is dropped such that the height of its first bounce is 6 feet and each successive bounce is 72% of the previous bo

unce's height. What would be the height of the 6th bounce of the ball? Round to the nearest tenth (if necessary).
Mathematics
1 answer:
Darina [25.2K]2 years ago
5 0

Answer:1.2

Step-by-step explanation:

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Write the equation of the line that passes through the points (−8,4) and (−3,7). Put your answer in fully reduced point-slope fo
andreyandreev [35.5K]

Answer:

y =  \frac{3}{5} x + 8 \frac{4}{5}

Step-by-step explanation:

<u>Point slope form</u>

y=mx +c, where m is the gradient and c is the y-intercept.

To find the gradient, use the formula below:

gradient =  \frac{y1 - y2}{x1 - x2}

m =  \frac{7 - 4}{ - 3 - ( - 8)}  \\ m =  \frac{3}{ - 3 + 8}  \\ m =  \frac{3}{5}

Substitute the value of m into the equation

y =  \frac{3}{5} x + c

To find c, substitute a coordinate into the equation.

When x= -3, y=7,

7 =  \frac{3}{5}( - 3) + c \\ 7 =  -  \frac{9}{5}  + c \\ c = 7 +  \frac{9}{5}  \\ c = 8 \frac{4}{5}

Thus, the equation of the line is y =  \frac{3}{5} x + 8 \frac{4}{5)

4 0
3 years ago
Any number that is divisible by 3 is also divisible by 6. Find a counterexample to show that the conjecture is false
kari74 [83]
For example 9.............
3 0
3 years ago
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identi
Tcecarenko [31]

Answer:

a. 0.1536

b. 0.9728

Step-by-step explanation:

The probability that a component fails, P(Y) = 0.2

The number of components in the system = 4

The number of components required for the subsystem to operate = 2

a. By binomial theorem, we have;

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) is given as follows;

P(Y = 2) = \dbinom{4}{2} × 0.2² × 0.8² = 0.1536

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) = 0.1536

b. The probability that the system last longer than 1,000 hours, P(O) = The probability that no component fails + The probability that only one component fails + The probability that two component fails leaving two working

Therefore, we have;

P(O) = P(Y = 0) + P(Y = 1) + P(Y = 2)

P(Y = 0) = \dbinom{4}{0} × 0.2⁰ × 0.8⁴ = 0.4096

P(Y = 1) = \dbinom{4}{1} × 0.2¹ × 0.8³ = 0.4096

P(Y = 2) = \dbinom{4}{2} × 0.2² × 0.8² = 0.1536

∴ P(O) = 0.4096 + 0.4096 + 0.1536 = 0.9728

The probability that the subsystem operates longer than 1,000 hours = 0.9728

4 0
2 years ago
How to convert degrees into radians?
Anna11 [10]

1 Degree Radian = π (pie)/ 180 degrees

3 0
3 years ago
Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100 pounds and a standard devia
EleoNora [17]

Answer:

0.961

Step-by-step explanation:

To answer this, find the area under the standard normal curve to the left of 130 pounds:

Using the function normalcdf( on a TI calculator, we get:

normalcdf(-1000, 130, 100, 17) = 0.961

8 0
2 years ago
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