Answer:
We need a sample size of at least 101
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
What sample size is needed to estimate the true average speed to within 2 mph at 99% confidence?
We need a sample of at least n.
n is found when M = 2. So






Rounding up
We need a sample size of at least 101
Answer:
B
Step-by-step explanation:
This is because You would still have the Y value as the answer. When you raise a function to the 0 power you will ultimately get on. In this only the coefficient is being raised rather than the whole system.
Step-by-step explanation:
Let the painting's width be w inches and length be l inches.
w + 6 = 2l
w = 2l - 6 --(1)
2w + 2l = 84 --(2)
sub (1) into (2):
2(2l - 6) + 2l = 84
2l - 6 + l = 42
3l = 48
l = 16
when l = 16, w = 2(16) - 6 = 26
area of painting = lw = 16 x 26 = 416square inches
Therefore, only statements 1, 3 and 5 are true
Topic: Algebraic equations + Simultaneous linear equations
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Answer:
18 small dogs
Step-by-step explanation:
Given the ratio of small dogs to all dogs was 3:7
Total dogs that are there = 42 dogs
Number of small dogs there = ratio of small/ratio of all dogs * Total dogs
Number of small dogs there = 3/7 * 42
Number of small dogs there = 3 * 6
Number of small dogs there = 18
Hence there are 18 small dogs there
x = 3/2
Step-by-step explanation:
Given equation is:

As we have to solve for x, x will be isolated on one side of the equation
So,
<u>1. Addition property of equality </u>
4x will be added on both sides

<u>2. Division property of Equality</u>
Dividing both sides by 6

Hence,
x = 3/2
Keywords: Linear equation, Variables
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