Answer:
<h2>x = 4</h2>
Step-by-step explanation:
Multiply through by 4 to eliminate the fraction
That's
<u>Subtract x from each side</u>
That's
<u>Subtract 8 from each side</u>
<u>Divide both sides by 3</u>
We have the final answer as
<h3>x = 4</h3>
Hope this helps you
Answer:
x = 5
Step-by-step explanation:
Answer: 0.7471
Step-by-step explanation:
Given : The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 
and a population standard deviation of 
.
Sample size = 50
Using formula 
, the z-value corresponding to x=98 will be:-
Z-value corresponding to x=103 will be:-
Using the standard normal distribution table for z-scores, we have
P-value = 
Hence, the probability we could select a sample of 50 adults and find that the mean of this sample is between 98 and 103 = 0.7471
Answer:
y = 1/3 x + 4
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals. The given line is
y = -3x + 7
which is already in the slope-intercept form, y = mx + b, where m is the slope.
The slope of the given line is -3.
The slope of the perpendicular is the negative reciprocal of -3 which is 1/3.
The line we are looking for has an equation of the form
y = 1/3x + b
We need to find b. We use the x- and y-coordinates of the given point as x and y in the equation above, and we solve for b.
y = 1/3x + b
5 = (1/3)(3) + b
5 = 1 + b
4 = b
Now that we know that b = 4, we replace b with 4 in the equation
y = 1/3x + b to get the answer.
Answer: y = 1/3 x + 4
Answer:
7.2
Step-by-step explanation:
distance between the two points. (1, 2), (7, 6) = √(x-x')²+(y-y')²
d = √(7-1)²+(6-2)² = √52 = 7.2
