Answer:
d. 3x + 6 = 26
Step-by-step explanation:
<u>Definitions</u>
- Integer: a whole number that can be positive, negative or zero.
e.g. ..., -3, -2, -1, 0, 1, 2, 3, ... - Even number: an integer that is exactly divisible by two. For example, 2, 4, 6, 8 are all positive even numbers.
- Consecutive: following one after the other in order.
<u>The sum of three consecutive even integers</u>
Let x be the first even integer.
As there is a <u>difference of 2</u> between <u>consecutive even integers</u>, the next even integer after x will be (x + 2).
Therefore, the next even integer after (x + 2) will be (x + 2) + 2 = (x + 4).
So "the sum of three consecutive even integers is twenty-six" is:
x + (x + 2) + (x + 4) = 26
<u>To solve</u>
⇒ x + (x + 2) + (x + 4) = 26
⇒ x + x + 2 + x + 4 = 26
⇒ 3x + 6 = 26
(Please note that there are no three consecutive even integers that sum to 26, so the problem cannot be solved).
Answer:
(a) P(X>32.73) = 0.2912
(b) Out of 95 bottles, 28 would contain more than 32.73 oz of ale.
Step-by-step explanation:
(a) The amount of fill is normally distributed so we will calculate the z-score and then use it to find the probability using the normal distribution probability table.
Let the amount of fill be denoted by X. The z-score can be computed using the formula:
z = (X - μ)/σ
where μ = mean value of fill
σ = standard deviation of value of fill = √Variance
P(X>32.73) = 1 - P(X<32.73)
= 1 - P((X-μ)/σ < (32.73 - 32.7)/√0.003)
= 1 - P(z<0.55)
Using the normal distribution table in Appendix B, we can see the probability at z=0.55 is 0.7088. So,
P(X>32.73) = 1 - 0.7088
P(X>32.73) = 0.2912
(b) We are buying 95 bottles and we need to calculate how many of them contain more than 32.73 oz. For that, we will multiply the total number of bottles by the probability of finding more than 32.73 oz which we have calculated in (a).
95 * 0.2912 = 27.664
Rounding off to a whole number we get 28 bottles.
<u>Out of 95 bottles, </u><u>28 would contain more than 32.73 oz of ale</u><u>.</u>
Answer:
mutiple the ft number by the same number to get area
Step-by-step explanation:
2x2=4
3x3=9
5x5=25
8x8=64
Hope this helps :)
Step-by-step explanation:
you simplify your answer and write it as proper fraction
a) cannot be determined.
b) Steel
c)Steel
d)Steel
e) Wooden coaster is slower than Steel, Both of them are normally distributed as median are at the center of the box plot. Steel has a greater variability than wooden as the whisker stretch.There no outliers in the box plot as only whiskers are available.
Step-by-step explanation:
- a)cannot be determined, as it shows only the variability of data.
- a)Picture or a graph only shows the decision of data not data points.
- b)Steel because Median of Steel goes from 60 mph to 100 mph.
- c)Steel because the 1st quartile for wood and steel starts at 50.
- c)Steel goes beyond 50 to 100 mph.
- d)Steel goes 48mph as both wooden and Steel are starting at whiskers.
- d)Steel Whiskers are ending at 100.
- e) Both of the them are normally distributed as median at the center.
- Whiskers are higher for steel as it goes faster then wooden.
- Wooden starts faster then Steel as whiskers dont start fast.
- Wooden is whisker is closer to 50 steel closer to 60.
- There is no outliers as no extreme values.