Answer:
5 units. Since they have the same y coordinate the x coordinate determines the distance from each other. In the case 9-4=5.
Probability helps us to know the chances of an event occurring. The probability of choosing a black marble from the bowl is 0.2917.
<h3>What is Probability?</h3>
Probability helps us to know the chances of an event occurring.
Probability=(Desired Outcomes)/(Total Number of possible outcomes)
The total number of marbles in the bowl is 24, while it contains 6 white, 8 blue, 7 black and 3 red. Therefore, the probability of choosing a black marble from the bowl is,
P(Black marble) = Number of black marble/Number of total Marble
P(Black Marble) = 7/24 = 0.2917
Hence, the probability of choosing a black marble from the bowl is 0.2917.
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The variance of a distribution is the square of the standard deviation
The variance of the data is 2.2
<h3>How to calculate the variance</h3>
Start by calculating the expected value using:

So, we have:

This gives

Next, calculate E(x^2) using:

So, we have:


The variance is then calculated as:

So, we have:


Approximate

Hence, the variance of the data is 2.2
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Sin < C = 63/65 so m < C = 75.75 degrees
and tan B = 16/63 so m <B = 14.25 degrees
m < C + m<B = 75.75 + 14.25 = 90 degrees
Therefore m < A = 180-90 = 90
therefore the triangle is right-angled.
Answer:
20x
Step-by-step explanation:
A certain map scale in which 1/2 inch on the map represents an actual distance of 10 miles. A distance of x miles is represented by how many inches on this map?
From the above question:
1/2 inch = 10 miles
x inches = m
Cross Multiply
1/2m = 10x
m = 10x ÷ 1/2
m = 10x × 2
m = 20x