Answer: x=5/3
Step-by-step explanation:
For this problem, we can use teh information given to write out an equation and solve. Let's use x for the unknown number.
5x+5=2x+10
The left side of the equation comes from the part that says "five times a number plus 5". That is modeled above. The right side of the equation comes from "has the same value as twice the number plus 10".
5x+5=2x+10 [subtract both sides by 2x]
3x+5=10 [subtract both sides by 5]
3x=5 [divide both sides by 3]
x=5/3
Now, we have found the unknown number, x=5/3.
Answer:
A prism is a three-dimensional shape with the same cross-section all the way through.
Step-by-step explanation: Im not sure if i got the second right
So the chance of getting 1 blue marble is 30% or 3/10, the chance of getting another in a row is also 3/10 since its asking for both youd do 3/10*3/10 = 9/100
Answer: 0.8461
Step-by-step explanation:
Let p be the proportion of residents are against the increase of taxes to fund alternatives to drug addiction treatment.
As per given , we have p=0.40
A random sample is taken with size : n= 400
Expecting sample proportion : 
Now , the probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed will be :
![=P(z>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})\ \ [\because\ z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]](https://tex.z-dn.net/?f=%3DP%28z%3E%5Cdfrac%7B0.375-0.40%7D%7B%5Csqrt%7B%5Cdfrac%7B0.40%280.60%29%7D%7B400%7D%7D%7D%29%5C%20%5C%20%5B%5Cbecause%5C%20z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5D)
[By z-table]
Hence, the approximate probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed is 0.8461 .
Y = kx
k = y/x
k = 2/12
k = 1/6
so when x = 12
y = kx
y = 1/6(5)
y = 5/6
answer
when x = 5 y = 5/6
