Because we know the midpoint is in the middle, we know that both sides are equal.
So set both = to each other
4x - 1 = 3x + 3
add 1 to both sides
4x=3x+4
then subtract 3x from both sides and because there is always a 1 in front of x the answer would be
x=4
Answer:
The probability that 75% or more of the women in the sample have been on a diet is 0.037.
Step-by-step explanation:
Let <em>X</em> = number of college women on a diet.
The probability of a woman being on diet is, P (X) = <em>p</em> = 0.70.
The sample of women selected is, <em>n</em> = 267.
The random variable thus follows a Binomial distribution with parameters <em>n</em> = 267 and <em>p</em> = 0.70.
As the sample size is large (n > 30), according to the Central limit theorem the sampling distribution of sample proportions (
) follows a Normal distribution.
The mean of this distribution is:
The standard deviation of this distribution is: 
Compute the probability that 75% or more of the women in the sample have been on a diet as follows:
**Use the <em>z</em>-table for the probability.
Thus, the probability that 75% or more of the women in the sample have been on a diet is 0.037.
Answer:
length = 14 feet
width = 6 feet
Step-by-step explanation:
A = 84 feet square
ratio of length and width = 7 : 3
total ratio of length and width 10 = a
length = (7/10)a
width = (3/10)a
A = length x width = (7/10)a x (3/10)a = (21/100)a² = 84
a² = 84 x 100 : 21 = 400
a = 20 feet
length = 7/10 x 20 = 14 feet
width = 3/10 x 20 = 6 feet
Answer: y= 3/5x+1
Step-by-step explanation: if you want to check if its perpendicular go on Desmos graphing calculator on goolge and plug both equations:)
Answer:
a: K = 2s
K + s = 42
b: 2s + s = 42
K = 28
s = 14
Step-by-step explanation:
1. Come up with equations based on the information given.
K = Kim
s = sister
Kim is twice of her sister -> K = 2s
When you add Kim's age to her sister's age, you get 42 -> K + s = 42
2. Substitue for K to find out the value of s
K = 2s
2s + s = 42
3. Solve for s
s = 42/3
s= 14
4. Solve for K
K = 2s
K = 2*14
K = 28
