Answer:
It takes 4 minutes per block and she can walk 12.5 blocks in 45 minutes.
Step-by-step explanation:
20 / 5 = 4 minutes per block
20 + 20 + 5 = 45
5 + 5 + 2.5 = 12.5
Hope this helps, I did the test last year.
Answer:
17 degrees
Step-by-step explanation:
So to find the answer you need to subtract. If the temp went down 22.1 degrees and it is -5.1 degrees you will subtract 22.1 - 5.1. This equals 17 degrees. You know the answer is correct because you can check your answer by adding: 5.1 + 17 = 22.1. We are disregarding the negative sign.
The discriminant can be determined from the number of roots of the graph.
If Disc> 0, the function has two distinct roots
If Disc = 0, the function has a repeated root
If Disc < 0, the function has no real root.
Since the given graph has no real root, i.e. it does not cross x-axis at any point, so we can say that the discriminant of the given function is negative.
So the answer to this question is option C
<h2>
Answer with explanation:</h2>
Confidence interval for mean, when population standard deviation is unknown:
, where 
= sample mean
n= sample size
s= sample standard deviation
= Critical t-value for n-1 degrees of freedom
We assume the population has a normal distribution.
Given, n= 19 , s= 3.8 , 
A) Critical t value for 
and degree of 18 freedom
= 2.8784
B) Required confidence interval:
Lower bound = 19.9 years
Uppen bound = 24.9 years
C) Interpretation: We are 99% confident that the true population mean of lies in (19.9, 24.9) .
There's a quick, easy, sloppy way, and there's a good math way.
Here's the good math way:
If the integers are consecutive, then you can call them 'x', (x+1), and (x+2).
We know what their sum is, so let's add them up:
x + (x+1) + (x+2) = 336
x + x+1 + x+2 = 336
Combine the terms that are alike on the left side:
3x + 3 = 336
Subtract 3 from each side: 3x = 333
Divide each side by 3 : <u> x = 111</u>
The integers are<em> 111, 112, </em>and<em> 113</em> .
