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3 years ago

The sum of two numbers is 43 and the difference is 19. what are the numbers?

1 answer:

3 0

You can solve this via algebra, lets say the numbers are x and y.
x + y = 43 and x - y = 19

You can re-arrange one of the equations to get

x = 43 - y Then substitute this into the other equation, so instead of x you put this:

(43 - y) - y = 19
43 - 2y = 19
-2y = 19 - 43
-2y = -24
-y = -12
so y = 12
then you can do 43 - 12 = 31 to get both of the numbers.
so the numbers are 31 and 12

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Find the indicated probability.

natka813 [3]

Answer:

C) 0.179

Step-by-step explanation:

Since the trials are independent, this is a binomial distribution:

Recall:

Binomial Distribution --> $P(k)={n\choose k}p^kq^{n-k}$
$P(k)$ denotes the probability of $k$ successes in $n$ independent trials
$p^k$ denotes the probability of success on each of $k$ trials
$q^{n-k}$ denotes the probability of failure on the remaining $n-k$ trials
${n\choose k}=\frac{n!}{(n-k)!k!}$ denotes all possible ways to choose $k$ things out of $n$ things

Given:

$n=10$
$k=4$
$p^k=0.53^4$
$q^{n-k}=(1-0.53)^{10-4}=0.47^6$
${n\choose k}={10\choose 4}=\frac{10!}{(10-4)!4!}=210$

Calculate:

$P(4)=(210)(0.53^4)(0.47^6)=0.1786117069\approx0.179$

Therefore, the probability that the archer will get exactly 4 bull's-eyes with 10 arrows in any order is 0.179

7 0

2 years ago

Please help me with this assignment ASAP!!! I only partially understand, so please explain. Also it's a work sample.

Rudiy27

To find the answer, we can first find the distance each of them have, then divide it by their speed to find the time needed.

Distance Steve need to travel: 300 feet
Distance Paula need to travel:
300+175(behind steve) = 475 feet

Time needed respectively:

Steve: 300 ÷ 9 = 33.33.. seconds
Paula: 475 ÷ 15 = 31.66... seconds

As we can see from the result, Paula would take less time to reach the goal (31.66<33.33),
therefore, Paula win the bike race by:

33.33-31.67
=1.66...
≈1.67 feet

Thus Paula won by 1.67 feet.

Hope it helps!

5 0

2 years ago

What is the solution to 10y=5x+10

mixas84 [53]

The slope intercept form of that equation would be y = 1/2x + 1. 1 would be the y-intercept, and 1/2 would be the slope. If you are looking for the answers to y and x, you would need another equation containing those variables to figure that out.

3 0

3 years ago

The points (2, 100) and (4, 105) are found on a line.

Sophie [7]

I think its c

Step-by-step explanation:

8 0

2 years ago

Point A is located at (1,5), and point M is located at (-1, 6). If point M is the midpoint of AB, find the

Step2247 [10]

Answer:

-3, 7

Step-by-step explanation:

because you take how much from the first coordinate to the second and add it too the second

7 0

2 years ago