Answer:
69
Step-by-step explanation:
If every 175th person gets free admission, that means
175th
175 * 2 = 350th
175 * 3 = 525th
person gets free admission and so on...
This basically means <em><u>"how many 175s are there is 6742 (for first day) and 5487 (for 2nd day)?"</u></em>
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We would need to divide and see the WHOLE number, not the fractional(decimal) amount remaining. So
<u>1st Day:</u>
6742/175 = 38.53
This means 38 people will get free admission
<u>2nd Day:</u>
5487/175 = 31.35
This means 31 people will get free admission
In the 2 days, total of 38 + 31 = 69 people will get free admission
Answer:
9.00 square units
Step-by-step explanation:
The width of the interval is 4 − 0 = 4. Divided by 4 equal subintervals, the width of each subinterval is 4/4 = 1.
The subintervals are:
0 ≤ x ≤ 1
1 ≤ x ≤ 2
2 ≤ x ≤ 3
3 ≤ x ≤ 4
MRAM is midpoint rectangular approximation method. So we use the midpoints of each interval to find the height of the rectangle:
f(0.5) = (0.5)² − 4(0.5) + 5 = 3.25
f(1.5) = (1.5)² − 4(1.5) + 5 = 1.25
f(2.5) = (2.5)² − 4(2.5) + 5 = 1.25
f(3.5) = (3.5)² − 4(3.5) + 5 = 3.25
So the total approximate area is:
A = 3.25 + 1.25 + 1.25 + 3.25
A = 9.00
Graph: desmos.com/calculator/x8dcibqszo
Answer:
A certain company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of a battery is normally distributed, with a mean of 50 months and a standard deviation of 9 months. If the company does not want to make refunds for more than 10% of its batteries under the full-refund guarantee policy, for how long should the company guarantee the batteries?
The company should guarantee the batteries for 38 months.
Step-by-step explanation:
Using standard normal table,
P(Z < z) = 10%
=(Z < z) = 0.10
= P(Z <- 1.28 ) = 0.10
z = -1.28
Using z-score formula
x = zσ + μ
x = -1.28 *9+50
x = 38
Therefore, the company should guarantee the batteries for 38 months.
Answer:
y+3 = 2(x-4)
Step-by-step explanation:
If we have a slope and a point, we can use the point slope form for an equation of a line
y -y1= m(x-x1)
where m is the slope and (x1,y1) is the point
y--3 = 2(x-4)
y+3 = 2(x-4)