Does the table below show a proportional relationship

Mathematics

1 answer:

spayn [35]3 years ago

4 0

Answer:yes

Step-by-step explanation:

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Simplify -3+6i-(-5-3i)-8i

borishaifa [10]

Answer:

2 +i

Step-by-step explanation:

-3+6i-(-5-3i)-8i

Distribute the minus sign

-3 +6i +5 +3i -8i

Combine like terms

-3+5 +6i +3i -8i

2 +i

4 0

2 years ago

X-4y-8=6/8+-8y-2y<br>5y-3(6-7/8)=5x-4y+3

Ivan

First simplify

x-4y-8=3/4-10y
add 10y both sides and add 8
x+6y=8+3/4
times 4 both sides
4x+24y=32+3
4x+24y=35

5y-3(6-7/8)=5x-4y+3
add 4y both sides
9y-3(6-7/8)=5x+3
distribute
9y-18+21/8=5x+3
minus 5x both sides
9y-5x-18+21/8=3
add 18 to both sides and minus 21/8 both sides
9y-5x=21-21/8
times 8 both sides
72y-40x=147
72y-40x=147

so we got

24y+4x=35
72y-40x=147

multiply first equation by -3 and add to 2nd

-72y-12x=-105
72y<span>-40x=147 +</span>
0y-52x=42

-52x=42
divide both sides by -52
x=-21/26
sub back

24y+4x=35
24y+4(-21/26)=35
using math
y=497/312

the solution is
$( \frac{-21}{26}, \frac{497}{312} )$

8 0

2 years ago

According to a survey, 62% of murders committed last year were cleared by arrest or exceptional means. Fifty murde committed las

alexira [117]

Answer:

a) The probability that exactly 41 of the murders were cleared is 0.0013

b) The probability that between 36 and 38 of the murders, inclusive, were cleared is 0.0809.

c) Yes, it would be unusual

Step-by-step explanation:

Let p=62% considered as the probability of having a commited that is cleared by arres or exceptional means. We assume that choosing each of the 50 commited is independent of each choose. Then, let X be the number of cleared. In this case, X is distributed as a binomial random variable. Recall that, in this case,

$P(X=k) = \binom{50}{k} p^{k}(1-p)^{50-k}$ for $0\leq k \leq 50$ , with p=0.62