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Marrrta [24]
3 years ago
12

A tree 8 feet high casts a 4-foot shadow. At

Mathematics
2 answers:
Nuetrik [128]3 years ago
6 0

Answer:

32 feet

Step-by-step explanation:

Ratio: 8:4

If it is a 16 foot shadow, it would be 32 feet tall because you multiply 4 from 4 and 8

Karolina [17]3 years ago
4 0

Answer:

I think it's 32

Step-by-step explanation

I've done these types of questions before but don't really remember how to do the process but I think you multiply 8 and 16 and divide by 4.

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Naomi can run 1/4 mile in 2 minutes. Does Amal or Naomi run faster? How do you know
telo118 [61]

Answer: Yes

Step-by-step explanation:

A: 12 minutesAnswer to B: 36 minutesAnswer to C:

4 0
3 years ago
Compute the mean and variance of the following probability distribution. (Round your answers to 2 decimal places.) x P(x) 6 0.10
irinina [24]

Answer:

Mean = 16.5

Variance = 35.55

Step-by-step explanation:

 <u>          x      P(x)        x. P(x)     x²            x². P(x)</u>

          6      0.10          0.6      36            3.6

         12     0.35          4.2       144           50.4

        18     0.25           4.5       324            81

<u>         24     0.30          7.2        576         172.8</u>

                  ∑x P (x)  16.5         ∑x² P (x) 307.8

The expected value of x E[X] gives the mean where X is the discrete random variable with the given probabilities.

Mean is given by  E(X)=  ∑x P (x) =  16.5

Similarly the variance is also calculated using the expected value of X and X².

Variance is given= E(X)²-  [E(X)]²= 307.8- (16.5)²=  307.8-272.25 = 35.55

6 0
3 years ago
Over which of the given intervals does g have an average rate of change of zero?
Sergio039 [100]

Answer:

I think is c 2 hope that works

Step-by-step explanation:

please give brainliest :D

7 0
3 years ago
How long is a guy wire reaching from the top of a 21ft. Pole to a point on the ground 15ft. From the pole
vovikov84 [41]

Answer:

26ft

Step-by-step explanation:

This would form a triangle so you would use Pythagorean theorem to find the hypotenuse ( the longest side )

5 0
3 years ago
A given field mouse population satisfies the differential equation dp/dt=.4p-450 where p is the number of mice and t is the time
Flura [38]

Answer:

a) 7.78 months

b) 1116

Step-by-step explanation:

Given -

\frac{dP}{dt} = 0.4p-450

Integrating the above equation with respect to time, we get -

\int\ \frac{dP}{0.4p-450} = \int\ dt\\

let us define new variable x

x = 0.4p - 450 \\dx = 0.4 dy

substituting these values in above integral equation, we get -

\frac{1}{0.4} \int\ \frac{dx}{x} = \int\ dt\\ln x = 0.4 t + C\\x = ce^{0.4t}

P (t) = \frac{C}{0.4} e^{0.4t}  +1125\\

at t = 0, P (0) = 1075, using this condition, we get -

\frac{c}{0.4} = -50\\P(t) = 50 e^{0.4t} +1125 \\t = 7.78\\P(0) = 1125 - \frac{1125}{e^{4.8}} = 1116

7 0
3 years ago
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