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ZanzabumX [31]
3 years ago
15

Alex wrote the equation C= 2n describe a situation that this equation could represent

Mathematics
1 answer:
mixer [17]3 years ago
8 0
Hhshshshshdhshhshshhshehshdhdhd
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The function f(x) = 50 Times 0.8^x Models the number of ants in Jonathan's ant farm after it is stricken by a deadly any plague,
KATRIN_1 [288]

Answer:

A, D, H

Step-by-step explanation:

The function models exponential decay because the factor is 0.8 which is < 1

0.8 means 80% of the previous which is a decay of 100 - 80 = 20%

50(0.8^x)

50(0.8²)

= 32

4 0
3 years ago
Need help asap, thanks!!!ヾ(⌐■_■)ノ♪
Lelu [443]

Step-by-step explanation:

the probability of making one shot is 75% or 0.75 or 3/4.

the probability to make 2 shots is then

3/4 × 3/4 = 9/16 = 0.5625

and so on.

the probability to miss 1 shot is then 25% or 0.25 or 1/4.

the probability to make at least 4 out of 5 shots is the sum of the probability to make all 5 shots plus the probability to make 4 shots.

or the probability to miss 0 plus the probability to miss 1 shot.

anyway, we can go with the positive approach. it seems to be the same complexity as the negative approach.

the probability to make all 5 shots is

(3/4)⁵ = 3⁵/4⁵ = 243 / 1024 = 0.237304688...

the probability to e.g make the first 4 shots and miss the 5th is

(3/4)⁴×1/4 = 3⁴/4⁵ = 81 / 1024 = 0.079101563...

how many possibilities do we have to make 4 out of 5 shots ?

there is no repetition, and the sequence inside the "picked" 4 does not matter, so we need combinations :

C(5,4) = 5! / (4! × (5-4)!) = 5

so, the probability to make exactly 4 out 5 shots is

81/1024 × 5 = 405/1024 = 0.395507813...

and the total probability to make at least 4 shots is

243/1024 + 405/1024 = 648/1024 = 81/128 = 0.6328125

to control,

this plus making exactly 3 plus exactly 2 plus exactly 1 plus none must be the probability 1 (as there is no other possible outcome).

making 3 :

(3/4)³×(1/4)² = 3³/4⁵ = 27/1024

C(5,3) = 5×2 = 10

270/1024

making 2 :

3²/4⁵ = 9/1024

C(5,2) = 5×2 = 10

90/1024

making 1 :

3/1024

C(5,1) = 5

15/1024

making 0 :

1/1024

in sum

(270+90+15+1)/1024 = 376/1024

plus the 648/1024 = 1024/1024 = 1

correct.

4 0
2 years ago
Half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories 1/4 of a pepperoni pizza plus a who
yulyashka [42]

Answer:

Correct choice is D (In a whole pepperoni pizza are 660 calories, in  in a whole ham and pineapple pizza are 580 calories).

Step-by-step explanation:

Let x calories be the number of calories a whole pepperoni pizza contains and y calories be the number of calories a whole ham and pineapple pizza contains.

1. If half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories, then

\dfrac{1}{2}x+\dfrac{3}{4}y=765.

2. If 1/4 of a pepperoni pizza plus a whole ham and pineapple pizza contains 745 calories. then

\dfrac{1}{4}x+y=745.

3. Multiply each equation by 4 and get a system of two equations:

\left\{\begin{array}{l}2x+3y=3060\\x+4y=2980\end{array}\right.

From the second equation x=2980-4y, then

2(2980-4y)+3y=3060,\\ \\5960-8y+3y=3060,\\ \\-8y+3y=3060-5960,\\ \\-5y=-2900,\\ \\y=580.

Then

x=2980-4\cdot 580=2980-2320=660.

6 0
3 years ago
Students reported volunteering at the animal shelter during the last 6 months for 25, 36, 31, and 32 hours. What is the mean abs
Dima020 [189]
31 is the answer because if you add all the numbers and then divide by the number of
5 0
2 years ago
S<br>solve for X<br>2x - Px = 5​
maxonik [38]

Answer:

2x - P = 5 \\ x(2 - P) = 5 \\  \boxed{x =  \frac{5}{(2 - P)} }

5 0
3 years ago
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