<u>Answer:</u>
The baseball cards remain in Nathan’s collection is 106 cards
<u>Explanation:</u>
Total number of cards Nathan has= 220
Number of cards he let his brother have = 1/4 of his collection
=
= 55 cards
Number of cards he sells = 20% of his collection
=
=44 cards
No of cards he gives to his friends=15 cards
Remaining cards = total number of cards – (no of cards he gave to his brother+ cards he sold+ cards he gave to this friends)
= 220 – ( 55+44+15)
=220-114
=106 cards
baseball cards remain in Nathan’s collection is 106 cards
Answer:
false because it only equal when b = n
Law of sines can be used to solve this problem:
(note - let x represent the missing side length.)
1. set up proportion.
sin 90°/25 = sin 55<span>°/x
2. solve.
(x) sin 90</span>° = (25) sin 55<span>°
(x) sin 90 </span>°/sin 90° = (25) sin 55° / sin 90<span>°
</span>
x = 20.4788011072
rounded to nearest tenth = 20.5
Answer:
54 - 10y
Step-by-step explanation:
Distribute each of the 3 parenthesis
= 12y + 24 - 32y + 32 - 10y - 2 ← collect like terms
= 54 - 10y
Step-by-step explanation: This simple confidence interval calculator uses a Z statistic and sample mean (M) to generate an interval estimate of a population mean (μ).
Note: You should only use this calculator if (a) your sample size is 30 or greater; and/or (b) you know the population standard deviation (σ), and use this instead of your sample's standard deviation (an unusual situation). If your data does not meet these requirements, consider using the t statistic to generate a confidence interval.
where:
M = sample mean
Z = Z statistic determined by confidence level
sM = standard error = √(s2/n)
As you can see, to perform this calculation you need to know your sample mean, the number of items in your sample, and your sample's standard deviation (or population's standard deviation if your sample size is smaller than 30). (If you need to calculate mean and standard deviation from a set of raw scores, you can do so using our descriptive statistics tools.)
