Answer:
2.4 miles
Step-by-step explanation:
This is a simple ratio problem.
Penguins go 4/5 mile in 1/3rd hour. <em>So how many miles will they go in 1 hour? Let that be x:</em>
<em>
</em>
<em />
<em>That is 12/5 miles or 2 2/5 miles</em>
<em>In decimal, that's </em><em>2.4 miles</em>
Answer:
Step-by-step explanation:
If two lines have different slopes, they cannot be the same line. If they share a y-intercept, that means they cross the y -axis at the same y value. If they share an x value and corresponding y value, they intersect at that point, in this case their y-intercept.
Hope this helped!!
Must be
(c) 12.11.10
Or
(d) 12
Answer:
0.7486 = 74.86% observations would be less than 5.79
Step-by-step explanation:
I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The general format of the normal distribution is:
N(mean, standard deviation)
Which means that:

What proportion of observations would be less than 5.79?
This is the pvalue of Z when X = 5.79. So



has a pvalue of 0.7486
0.7486 = 74.86% observations would be less than 5.79
Hello there!
On those type of angles, the angles that are facing each other is equal to another.
So you can set up the equation like this :
10x + 1 = 12x - 5
-2x = -6
x = 3
So the answer is x = 3.
In some problems, you have to find the angle.
Then you just simply substitute 3 into x.
10x + 1
10(3) + 1
30 + 1
31
12x - 5
12(3) - 5
36 - 5
31
The angles are 31° and 31°.
Hope this helped! :)