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Hatshy [7]
3 years ago
7

Carmela is growing her hair to donate to a charity. The hair must be a minimum length of 10 inches. Her hair is already 4 inches

long. If hair grows at the rate of 6 inches a year, write and solve an inequality to find the minimum number of years she must grow her hair to be able to make a donation.

Mathematics
1 answer:
mojhsa [17]3 years ago
5 0
It's kind of important to know how long it's been since her last cut but...
y=years
6y+4=10
I think that would work.
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Area =  the top semicircle + the rectangle AEBD

= 1/2 pi*6^2 + 6*12  =  128.55 cm^2 to nearest 100th

Perimeter = 6pi + 12 + 2 pi * 3 = 49.70 cm
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3 years ago
10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.
erastova [34]

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A success is 5 or 6.

A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:

p = \frac{4}{6} = 0.6667

10 normal six sided dice are thrown.

This means that n = 10

Find the probability of obtaining at least 8 failures.

This is:

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951

P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867

P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174

Then

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992

0.2992 = 29.92% probability of obtaining at least 8 failures.

8 0
3 years ago
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dusya [7]

Answer:

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Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (2 -0)/(-1 -(-3)) = 2/2

  m = 1 . . . . . the slope of the line is 1

__

The value of the y-intercept can be found by solving the slope-intercept equation for b.

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The equation of the line with slope 1 and y-intercept 3 can be written as ...

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Irina-Kira [14]

Answer:

The answer is c

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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larisa [96]

Answer:

9 yards

Step-by-step explanation:

multiply the length of the cloth by the length used for bedsheet

12*\frac{3}{4}\\9 yards

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