Answer:
10 Letter B
Step-by-step explanation:
56.23 rounds down to 56 and 45.9 rounds up to 46. So 56 - 46 = 10
Answer:
a: 28 < µ < 34
Step-by-step explanation:
We need the mean, var, and standard deviation for the data set. See first attached photo for calculations for these...
We get a mean of 222/7 = 31.7143
and a sample standard deviation of: 4.3079
We can now construct our confidence interval. See the second attached photo for the construction steps.
They want a 90% confidence interval. Our sample size is 7, so since n < 30, we will use a t-score. Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)
The t-value is: 1.943
We rounded down to the nearest person in the interval because we don't want to over estimate. It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate. It's better to use 28 and underestimate a little when considering customer flow.
Answer:
A) JK and LM will be parallel to each other.
Step-by-step explanation:
On reflection on
line the x co-ordinate changes with y co-ordinate and y co-ordinate changes with x co-ordinate

Points on line EF

On reflection of this line on
the new points we get for line JK are

Points on line GH

On reflection on y=x line the new points we get for line LM are

Slope of line JK

Slope of line LM

For two line to be parallel, their slopes will be same.

Since slopes of lines JK and LM are same therefore we can say that these are parallel to each other.
Answer:
(2b-3)²
Step-by-step explanation:
The square of a binomial is ...
(p - q)² = p² - 2pq + q²
The fact that the first and last terms are perfect squares suggests that you might want to look to see if the middle term matches this form. It does.
For p² = 4b², p=2b.
For q² = 9, q = 3.
Then 2pq = 2(2b)(3) = 12b.
So, the factoring is ...
4b² -12b +9 = (2b -3)²
Answer:
1/5? 0.2?
Step-by-step explanation: