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Andreyy89
3 years ago
12

Mattie Evans drove 80 miles in the same amount of time that it took a turbopropeller plane to travel 400 miles. The speed of the

plane was 160 mph faster than the speed of the car. Find the speed of the plane.
Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0
There is not a real way to justify this, but I saw first that 400-80 equals 320 which is double 160. This made me think that the period of time during this was 2 hours. The car drove 80 miles in two hours and the plane flew 400 miles in 2 hours. The period for one hour would be 40 mph for the car and 200 mph for the plane. 200-40=160. I have no idea how to prove it though and I’m hoping you can go backwards.
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PLease help with this question<br> thanks
Elodia [21]
It is always difficult to map the English description of a mathematical expression to the intended actual expression. The best descriptions are those of 1, 2, 3, 5. Descriptions 4 and 6 are apparently intentionally misleading or absurd.

It appears the appropriate selections are ...
  1, 2, 3, 5
7 0
3 years ago
Read 2 more answers
A lake contains 4 distinct types of fish. Suppose that each fish caught is equally likely to be any one of these types. Let Y de
strojnjashka [21]

Answer:

a) P(μ-k*σ≤ Y ≤ μ+k*σ ) ≥ 0.90

a= μ-3.16*σ , b= μ+3.16*σ

b) P(Y≥ μ+3*σ ) ≥ 0.90

b= μ+3*σ

Step-by-step explanation:

from Chebyshev's inequality for Y

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

where

Y =  the number of fish that need be caught to obtain at least one of each type

μ = expected value of Y

σ = standard deviation of Y

P(| Y - μ|≤ k*σ ) = probability that Y is within k standard deviations from the mean

k= parameter

thus for

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

P{a≤Y≤b} ≥ 0.90 →  1-1/k² = 0.90 → k = 3.16

then

P(μ-k*σ≤ Y ≤ μ+k*σ ) ≥ 0.90

using one-sided Chebyshev inequality (Cantelli's inequality)

P(Y- μ≥ λ) ≥ 1- σ²/(σ²+λ²)

P{Y≥b} ≥ 0.90  →  1- σ²/(σ²+λ²)=  1- 1/(1+(λ/σ)²)=0.90 → 3= λ/σ → λ= 3*σ

then for

P(Y≥ μ+3*σ ) ≥ 0.90

5 0
3 years ago
What is the sum of the first 100 even natural<br> numbers?<br> S100 =
Leviafan [203]
Sn = n(n+1) = 100(101) = 10100
5 0
3 years ago
Read 2 more answers
4) A certain computer costs $599.00 at Best Buy. On Black Friday, it is on sale for 35% off. What is the price of the computer o
lawyer [7]

Answer:

$389.35

Step-by-step explanation:

A certain computer costs $599.00 at Best Buy. On Black Friday, it is on sale for 35% off.

So, after 35% off the price of the computer will reduce from $599.00.

We are asked to find the cost of the computer on Black Friday.

Therefore, the price of the computer will reduce by [599 \times \frac{35}{100}] = 209.65 Dollars.

And the reduced price on the Black Friday will be $(599 - 209.65) = $389.35 (Answer)

5 0
3 years ago
Ernie Rolph deposits $4500 at 2% annual simple interest for 1 year. How much interest will he earn?
vaieri [72.5K]

Answer: the amount of interest that he would earn is $90.

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount of money deposited.

P represents the principal or amount of money deposited.

R represents interest rate on the deposit.

T represents the duration of the deposit in years.

From the information given,

P = $4500

R = 2%

T = 1 year

Therefore,

I = (4500 × 2 × 1)/100

I = $90

8 0
3 years ago
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