Answer:
x=40
Step-by-step explanation:
80°+(2x+20)°= 180°... (co-interior angles are supplementary)
2x=180 - 80 - 20
2x=80
(divide both sides by the coefficient of x which is 2)
x=80÷2
x=40
Check:
(2x+20) must be equal to 100
Let x=40
Therefore :
2X40+20
=100
Answer:
The length for the 97th percentile for a man's arm span is 74.96 inches.
Step-by-step explanation:
We have a normal distribution for men's arm span, with mean of 68 inches and standard deviation of 3.7 inches.
The 97th percentil represents the value for which 97% of the observations are below.
We can search for the 97th percentile for the standard normal distribution. This will give a value z=1.88.
Then, we can convert this z-score to our distribution:
Answer:
It will take nine years and four months for the refrigerator to pay for itself.
Step-by-step explanation:
The new refrigerator which costs $1200, saves the family 22% annually in energy cost.
Since the old refrigerator costs $580 to run, we want to determine how many years it will take for 22% of $580 per year to make $1200.
22% of $580
= 580 × 0.22
= 127.6
That is, it saved then $127.6 per year.
Now,
$1200/127.6
≈ 9.4
Which means, it will take 9 years and 4 months for the refrigerator to pay for itself.
The simple interest rate that was paid on the loan by Dante was 6.1%
Simple interest = PRT/100
where,
P = Principal = 20000
R = Rate = Unknown
T = 146 days = 146/365 = 0.4 years
Interest = 488
Therefore, in order to solve the question, we'll slot the values of the terms above into the formula and this will be:
Simple interest = PRT/100
488 = (20000 × R × 0.4)/100
Cross multiply.
488 × 100 = 8000R
48800 = 8000R
R = 48800/8000
R = 6.1%
The annual Interest rate was 6.1%
Read related link on:
brainly.com/question/24897224
Answer: see below
Step-by-step explanation:
Vertical line test determines which graph is a function.
The graph should pass the vertical line only once if it’s a function.
So we can see that it is the left V-shaped graph.
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