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3 years ago

Evaluate the following for a = -20, b = 30, c = 5

Mathematics

1 answer:

GaryK [48]3 years ago

7 0

|2*-20| - 30= |-40| - 30= 40-30=10

|30*5| - |(-20*(5)|= |150| - |100|= 150-100= 50

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John's free throw shooting percentage is 87%. If John shoots 12 free throws in the course of a game, what is the probability he

suter [353]

Answer:

0.2771

Step-by-step explanation:

This is a binomial probability question. "Makes" is what some writers call a "success." In the binomial probability distribution, the probability of <em>r</em> successes in <em>n</em> trials is

$\binom{n}{r}p^r(1-p)^{n-r}$

<em>p</em> is the probability of "success." $\binom{n}{r}=\frac{n!}{r!(n-r)!}$

In this problem, <em>n</em> = 12, <em>r</em> = 10, <em>p</em> = 0.87 (the 87%).

The probability of exactly 10 made shots out of 12 attempted is

$\binom{12}{10}(0.87)^10(1-0.87)^2 =66(0.87^10)(0.13)^2 \approx 0.2771$

4 0

3 years ago

Can someone please help me with number 2?I don't know what I did wrong.

Dmitry [639]

Part A

Let's say point P is the starting point and point Q is the endpoint

x = one-way distance from P to Q, and vice versa

The goal is to find x, then compute 2x to find the round trip distance traveled.

We'll use this idea

distance = rate*time

which solves to

time = distance/rate

So when going from P to Q, the driver is going 70 mph and travels x miles

So the driver does this for distance/time = x/70 hours.

When going back, the driver slows down to 55 mph so the time taken here is x/55 hours.

The total time values add to x/70 + x/55 hours

Set this equal to the total driving time of 7 hours and solve for x

x/70 + x/55 = 7

70*55*(x/70 + x/55) = 70*55*7

70*55*(x/70) + 70*55*(x/55) = 26,950

55x + 70x = 26,950

125x = 26,950

x = (26,950)/125

x = 215.6 which is the one-way distance in miles

which then means,

2x = 2*215.6 = 431.2

Therefore, the total distance traveled is 431.2 miles

<h3>Answer: 431.2 miles</h3>

=========================================================

Part B

To find the duration of each trip, we simply need to evaluate x/70 and x/55. Those are the durations when going 70 mph and 55 mph respectively. These durations are measured in hours.

x/70 = (215.6)/70 = 3.08

x/55 = (215.6)/55 = 3.92

Note how 3.08+3.92 = 7 to help verify the answers.

<h3>Answers:</h3>

When going 70 mph, it takes about 3.08 hours
When going 55 mph, it takes about 3.92 hours

6 0

3 years ago

The answer to this (C=20+10h) which describes the. cost (c) of renting a canoe, in dollars, as a function of the number hours (h

Aleks04 [339]

Answer:

idk

Step-by-step explanation:

7 0

3 years ago

The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used

marysya [2.9K]

S = length of small side
M = length of medium side
L = length of long side

The triangle is scalene meaning that the three sides (S, M, L) are all different. If any two sides were equal, then we'd have an isosceles triangle. If all sides were the same, then the triangle would be equilateral.

"The longest side is twice that of the shortest side" tells us that L = 2*S
The longest side is given to be 6.2 cm, so L = 6.2 and we can find S to be...

L = 2*S
6.2 = 2*S
2*S = 6.2
S = 6.2/2
S = 3.1

The longest side is 6.2 leads to the shortest side being 3.1

Add up the three sides and set that sum equal to the perimeter 14.5

(short side) + (medium side) + (long side) = perimeter
S + M + L = 14.5
3.1 + M + 6.2 = 14.5
M + 9.3 = 14.5

It's not clear where your teacher wants you to stop, so this might be a good place. If you wanted, you can isolate M by subtracting 9.3 from both sides

6 0

3 years ago

Evaluate |-2.3| plz need help immeaditly !!!

Fiesta28 [93]

The absolute value is always positive, so the answer is 2.3

7 0

4 years ago

Read 2 more answers