Answer:
x = 2/5
Step-by-step explanation:
Given:
7 + 5x = 3(y-2)
Rearrange this equation such that x is expressed in terms of y
7 + 5x = 3(y-2) (expand right side)
7 + 5x = y(3)-2(3)
7 + 5x = 3y-6 (subtract 7 from both sides)
5x = 3y - 6 - 7
5x = 3y - 13
we are given the y-value of the coordinate pair (? , 5)
simply substitute y=5 into the equation above
5x = 3y - 13
5x = 3(5) - 13
5x = 15 - 13
5x = 2 (divide both sides 5)
x = 2/5
Answer:
Step-by-step explanation:
Hello!
X: Cholesterol level of a woman aged 30-39. (mg/dl)
This variable has an approximately normal distribution with mean μ= 190.14 mg/dl
1. You need to find the corresponding Z-value that corresponds to the top 9.3% of the distribution, i.e. is the value of the standard normal distribution that has above it 0.093 of the distribution and below it is 0.907, symbolically:
P(Z≥z₀)= 0.093
-*or*-
P(Z≤z₀)= 0.907
Since the Z-table shows accumulative probabilities P(Z<Z₁₋α) I'll work with the second expression:
P(Z≤z₀)= 0.907
Now all you have to do is look for the given probability in the body of the table and reach the margins to obtain the corresponding Z value. The first column gives you the integer and first decimal value and the first row gives you the second decimal value:
z₀= 1.323
2.
Using the Z value from 1., the mean Cholesterol level (μ= 190.14 mg/dl) and the Medical guideline that indicates that 9.3% of the women have levels above 240 mg/dl you can clear the standard deviation of the distribution from the Z-formula:
Z= (X- μ)/δ ~N(0;1)
Z= (X- μ)/δ
Z*δ= X- μ
δ=(X- μ)/Z
δ=(240-190.14)/1.323
δ= 37.687 ≅ 37.7 mg/dl
I hope it helps!
Let's try a line
y = mx + b
From (0,4):
4 = 0x + b
b = 4
So far we have
y = mx + 4
From (1,1)
1 = m(1) + 4
-3 = m
Our rule is y = -3 x + 4
Let's check the other points:
-3(-4)+4 = 12+4 = 16 good
-3(4)+4 = -12+4 = -8 good
-3(9) + 4 = -23 good
Answer: y = -3 x + 4
Hey there!
10 to the fifth power is equivalent to the expression:
10 x 10 x 10 x 10 x 10 because you are multiplying 10 by 10 5 times.
Hope this helps you.
Have a great day!
If the polygon or the figures are similar then it is
known that the ratios of their corresponding sides and angles are proportional.
In this item we can derive an equation that is,
<span>
AC/AE = AD/AB</span>
Substituting the known values,
<span>
4/7 = 10/AB</span>
<span>AB from the equation is equal to 70/4 or equal to 17 ½. </span>
