Answer:
6) 20
7) I think is 2.5 (im not sure)
8) 7
Step-by-step explanation:
6) (5x+9)+(3x+11)=180
8x+20=180
-20 -20
8x=160
Divide 8 on each side
x=20
7) (17x+1)=(20x-14)
17x+15 =20x
+17 +17
15 = 37x
divide 15 on each side
X=2.5
8) (3x+3)+(10-4)=90
(3x)+(10x-1)
13x-`1=90
+1 +1
13x=91
Divide 13 on each side
x=7
Answer:
y=-3x+5
Step-by-step explanation:
concepts: y=mx+b is slope intercept equation formula
m=slope
b= y intercept
Therefore we need to find the slope and y intercept
first find slope
m=
let y2 be 2
let y1 be -4
let x2 be 1
let x1 be 3
6/-2 = -3
m=-3
slope is -3
y= -3x+ b
we need find y intercept now
just plug in (1,2) into that equation
2=-3(1)+b
b=5
y=-3x+5
Using the binomial distribution, it is found that the expected values are given by:
a) 120.
b) 150.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.
Item a:
4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.
The expected value is given by:
E(X) = 180 x 2/3 = 120.
Item b:
5 of the 6 values are less than 6, hence p = 5/6.
The expected value is given by:
E(X) = 180 x 5/6 = 150.
More can be learned about the binomial distribution at brainly.com/question/24863377
Since 111 is greater than 33, I will assume that you meant 11 votes for a candidate. Also, assuming that each student can vote only once, the answer would be
11/33 x 100=33.333333...
About 33.333 of the voters voted for candidate a.
Answer:
37
Step-by-step explanation:
we would had to call the number needed a random value or call it x but
let's do the calculation backward to ease things up
(566 - 11) ÷15 ➡ 555 ÷ 15 = 37
