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Dmitry_Shevchenko [17]
3 years ago
6

A diver started at 4 feet above ground. After diving he ended at 58 feet below the surface

Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer:

62

Step-by-step explanation:

If the diver started 4 four feet above the ground and ended 58 feet below the surface, the diver went down, so we can solve this by taking the total distance traveled like so:

|4+58| = 62

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Please HELP me 50 points worth
Leokris [45]

Answer:

y=-½x + 1

Step-by-step explanation:

1.) a perpendicular lines uses the opposite inverse of a line so the slope becomes -½x

2.) make an equation that looks as so:

y=-½x+b

the y intercept is unknown so it must be a variable.

3.) substitute the points you are given into the equation:

3=-½(4)+b

4.) solve for b

3=2+b

-2|-2

1=b

4.) place b into the equation

y=-½x + 1

8 0
3 years ago
If 32^2c=8^c+7 whay is the value of c ?
natima [27]
32^(2c)=8^(c)+7
2^10c=2^3c+21 im gonna assume 7 is in the exponent
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7 0
4 years ago
Read 2 more answers
In Happyville, the ideal family has four children, at least two of which are girls. If you randomly select a Happyville family t
sleet_krkn [62]

Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This 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.

0.5 probability of a children being a girl:

This means that p = 0.5

If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?

Not ideal is less than two girls, so this is P(X < 2).

Four children means that n = 4. So

P(X < 2) = P(X = 0) + P(X = 1)

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

P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625

P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25

P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125

0.3125 = 31.25% probability that it is not ideal.

7 0
3 years ago
What is the length of line segment S T if S is at -5,-1 and T is at -1,12? Round to the nearest hundredth.
GuDViN [60]
Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(-5,-1)(-1,12)

d = sqrt (-1-(-5)^2 + (12 - (-1)^2
d = sqrt (-1 + 5)^2 + (12 + 1)^2
d = sqrt (4^2) + (13^2)
d = sqrt (16 + 169)
d = sqrt 185
d = 13.60 <==
4 0
3 years ago
900 wind turbines produce 800,500 kilowatts of energy per hour if a total of 32,725,550 kilowatts of energy is produced how much
Brrunno [24]

Answer:

41\ hours

Step-by-step explanation:

we know that

Using proportion

\frac{1}{800,500}\frac{hour}{kw}=\frac{x}{32,725,550}\frac{hours}{kw}\\ \\x=32,725,550/800,500\\ \\x=40.88\ hours

Round to the nearest whole number

40.88\ hours=41\ hours

7 0
3 years ago
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