It is the fourth choice - 1/4.
There are five odd number out of the ten number they are choosing from.
The probability that Jason will choose an odd number is 5/10 = 1/2
The probability that Kyle will choose an odd number is 5/10 = 1/2
Multiply the two probabilities to get the probability of them choosing odd numbers.
1/2 * 1/2 = 1/4
Answer:
Curved parenthesis at negative infinity
Square bracket at -4
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Work Shown:
The last inequality shown above is the same as saying
Converting this to interval notation leads to the final answer of
Note the use of a square bracket at -4 to include this endpoint. We can never include either infinity, so we always use a parenthesis for either infinity.
Answer:
Step-by-step explanation:
First you need to set up the equation 2/3+1/4/1/2, and we know that there is a stratgey for dividing fractions as well. But first, we need to find the least common fator for 2/3 and 1/4 which is twelve which would be 8/12+3/12 which is 11/12 and 11/12 dividing by 1/2 is 22/12 since all you need to do is do the keep change flip method which would give you an answer of 1 10/12 or 1 5/6
Answer: See below:
Advantages as an equation: When you have an equation instead of a graph, you can use the equation to find exact values for a function. With a graph, don't always have the exact values. However, with an equation, you can find the exact input or output values.
Disadvantages as an equation: You don't get to see the overall picture or patterns in the function. With a graph, you can easily see the increasing and decreasing intervals of the function.
Answer/Step-by-step explanation:
Question 1:
Interior angles of quadrilateral ABCD are given as: m<ABC = 4x, m<BCD = 3x, m<CDA = 2x, m<DAB = 3x.
Since sum of the interior angles = (n - 2)180, therefore:
n = 4, i.e. number of sides/interior angles.
Equation for finding x would be:
(dividing each side by 12)
Find the measures of the 4 interior angles by substituting the value of x = 30:
m<ABC = 4x
m<ABC = 4*30 = 120°
m<BCD = 3x
m<BCD = 3*30 = 90°
m<CDA = 2x
m<CDA = 2*30 = 60°
m<DAB = 3x
m<DAB = 3*30 = 90°
Question 2:
<CDA and <ADE are supplementary (angles on a straight line).
The sum of m<CDA and m<ADE equal 180°. To find m<ADE, subtract m<CDA from 180°.
m<ADE = 180° - m<CDA
m<ADE = 180° - 60° = 120°