First combine like terms ( x's go with x's), so subtract 2x to both sides and you get:
5+ (3x-2x) = 6 + (2x-2x)
5 + x = 6
Isolate x by bringing 5 to the other side by subtraction
(5-5) + x = (6-5)
x = 1
Hope this helped!
The total number of combinations without restrictions is
10 * 10 * 10 * 10 * 10 = 100000
Problem A
10 * 9 * 8 * 7 * 6 = 30240
the number of ways the combination can be set up with no repetition.
The probability of such an event is P = 30240 / 100000 = 0.3024
Problem B
The number of ways that can be done with repetition and no zeros is
9 * 9 * 9 * 9 * 9 = 59049
The probability of such an event is
P = 59049 / 100000 = 0.59049
8=4/7(7) + b
b=4
Y= 4/7 x + 4
[You might wanna check your answer, I might be wrong. Sorry if I’m wrong.]
Answer:
We can write sin 21° as 1200 / x and also 0.36 so we can write:
1200 / x = 0.36
1200 = 0.36x
x = 1200 / 0.36
x ≈ 3333 ft
Answer:
The upper limit for the 95% confidence interval for the population proportion of defective gaming systems is 0.022
Step-by-step explanation:
Upper Limit for 95% Confidence Interval can be calculated using p+ME where
- p is the sample proportion of defective gaming systems (
)
- ME is the margin of error from the mean
and margin of error (ME) around the mean can be found using the formula
ME=
where
- z is the statistic of 95% confidence level (1.96)
- p is the sample proportion (
- N is the sample size (1200)
Using the numbers we get:
ME=
≈ 0.007
Then upper limit for the population proportion is 0.015+0.007 =0.022
