Answer:
Step-by-step explanation:
Let RBY = “Draw a Red, then Blue, then Yellow”
● So all disjoint events we want to consider are: RBY,
RYB, YRB, YBR, BYR, BRY – there are 6 of them.
● P(RBY) = P(R)*P(B)*P(Y) = (30/55)*(5/55)*(12/55)
= .0108
● But we have 6 disjoint cases. Because each one is
calculated as a product of the three, and each
disjoint case has the same probability (each order is
equally likely), our answer is 6*.0108 = .0649
<u>all expression represent how much Judith spent.</u>
Answer:
<u>Question:</u>
Judith's grandmother paid her x dollars a week to mow the lawn during the summer.
Judith decided to save some of her money and spend the rest. For the first 4 weeks, Judith put $10 per week into savings. For the next 8 weeks, she put $15 per week into savings.
<u>Solution given:</u>
Judith's grandmother paid her x dollars a week
<u>it means Judith's income per week is x.</u>
Judith decided to save some of her money and spend the rest.
For the first 4 weeks, Judith put $10 per week into savings.
<u>it mathematical expression it is expressed as:</u>
<u>4(x-$10)</u>
again
For the next 8 weeks, she put $15 per week into savings.
<u>it mathematical expression it is expressed as:</u>
<u>8(x-$15)</u>
<u>now,</u>
<u>Judith's </u> have
<u>4(x-$10)+8(x-$15) </u>it represent 1st expression.
solving above equation
<u>(4x-$40)+(8x-$120) </u>represents 4t h expression.
<u>(4x+8x)-($40+$120)</u> represents 2nd expression.
12x-$160 represents 3rd expression.
There are six important properties of parallelograms to know:
<span>Opposite sides are congruent (AB = DC).Opposite angels are congruent (D = B).Consecutive angles are supplementary (A + D = 180°).If one angle is right, then all angles are right.The diagonals of a parallelogram bisect each other.<span>Each diagonal of a parallelogram separates it into two congruent triangles.</span></span>
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> number of tennis balls
y ----> number of tennis rackets
we know that
To find out the ratio of tennis balls to tennis rackets, divide the number of tennis ball by the number of tennis rackets
In this problem we have

see the model in the attached figure N 1
so


This is the equation of a linear direct variation
The relationship between the variables x and y is proportional
see the model in the attached figure N 2