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kobusy [5.1K]
3 years ago
14

Suppose y varies directly as x. If x = 24 when y = 8, find y when x = 33.

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
3 0

Answer:

y= 17

Step-by-step explanation:

33-24= 9

y= 8+9

y= 17

hope this helpss

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What is the proportion for 2/3 and 8/10
Katarina [22]
There is no solution I believe since 2/3 and 8/10 cross multiplied are 2 times 10 and 3 times 8 which is 20 = 24 which does not equal and there is no answer
8 0
3 years ago
Convert each rate, Round to the nearest hundredth if necessary 17 cm/min=_____ ft/h
vaieri [72.5K]
17 cm/min= ________ ft/h
17 x 60 = 1020 cm = 34 feet 
Answer: 17 cm/min = 34 ft/h
8 0
2 years ago
Tay–Sachs Disease Tay–Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carri
BARSIC [14]

Answer:

a) 0.0156 = 1.56% probability that all children will develop the disease.

b) 0.4219 = 42.19% probability that only one child will develop the disease.

c) 0.1406 = 14.06% probability that the third children will develop the disease, given that the first two did not.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they carry the disease, or they do not. The probability of a children carrying the disease is independent of any other children, 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.

The probability that their offspring will develop the disease is approximately .25.

This means that p = 0.25

Three children:

This means that n = 3

Question a:

This is P(X = 3). So

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

P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156

0.0156 = 1.56% probability that all children will develop the disease.

Question b:

This is P(X = 1). So

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

P(X = 1) = C_{3,1}.(0.25)^{1}.(0.75)^{2} = 0.4219

0.4219 = 42.19% probability that only one child will develop the disease.

c. The third child will develop Tay–Sachs disease, given that the first two did not.

Third independent of the first two, so just multiply the probabilities.

First two do not develop, each with 0.75 probability.

Third develops, which 0.25 probability. So

p = 0.75*0.75*0.25 = 0.1406

0.1406 = 14.06% probability that the third children will develop the disease, given that the first two did not.

6 0
3 years ago
I need help the question is what is the are of the composite figure
AlladinOne [14]

Answer:

Option 4

Step-by-step explanation:

Area of a trapezoid = \frac{1}{2}(b_1+b_2)h

Here, b_1 and b_2 are the bases and 'h' is the height between the bases.

Area of the composite figure = Area of two trapezoids given

                                                = \frac{1}{2}(12+12)14+\frac{1}{2}(25+31)11

                                                = \frac{1}{2}(24)(14)+\frac{1}{2}(56)(11)

                                                = 168 + 308

                                                = 476 square ft

Option 4 is the answer.

3 0
2 years ago
Marcela estimates the distance between the library and town hall is 735 ft. The actual distance is 612 ft
miv72 [106K]
The answer is 20%.

Step 1: Subtract the measured distance and the actual distance to calculate the error.
Step 2: Divide the given value by the actual distance and convert it into the percentage.

the actual distance is 612 ft
the measured distance is 735 ft

Step 1: 735 ft - 612 ft = 123 ft
Step 2: 123 ft / 612 ft = 0.20 = 20/100 = 20%
6 0
3 years ago
Read 2 more answers
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