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podryga [215]
3 years ago
10

Harry owns a car dealership. During a sale one week, he sold 8 small cars out of every 11 cars he sold. Harry sold a total of 33

cars during the sale. How many small cars did he sell during the sale? Question 3 options: 8 9 24 33
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
6 0

Answer:

24

Step-by-step explanation:

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at a particular high school, 42% of the students participate in sports and 25% of the students participate in drama. if 53% of t
baherus [9]

The probability that a student participates in both sports and drama is 0.14.

<h3>What is the formula for P(AUB), where A and B are any two events?</h3>

If A and B are any two events, then the probability of the joint event (A\cup B) is given by the following formula: P(A\cup B)=P(A)+P(B)-P(A\cap B)

Given that 42% of the students participate in sports and 25% of the students participate in drama and 53% of the students participate in either sports or drama.

Suppose S denotes that "a student participates in sports" and D denotes that "a student participates in drama".
So, we have P(S)=\frac{42}{100}=0.42, P(D)=\frac{25}{100}=0.25, P(S\cup D)=\frac{53}{100}=0.53.

We want to find the probability that a student participates in both sports and drama i.e., we want to find P(S\cap D).

By the above formula, we obtain:

P(S\cup D)=P(S)+P(D)-P(S\cap D)\\\Longrightarrow P(S\cap D)=P(S)+P(D)-P(S\cup D)\\\Longrightarrow P(S\cap D)=0.42+0.25-0.53\\\therefore P(S\cap D)=0.14=\frac{14}{100}

Therefore, the probability that a student participates in both sports and drama is 0.14.

To learn more about probability, refer: brainly.com/question/24756209

#SPJ9

6 0
2 years ago
Read 2 more answers
Write two different rational functions whose graphs have the same end behaviour as the graph of y=3x^2
baherus [9]

Answer:

               y=x^2+5x+20\\ \\ y=8x^2+35

Explanation:

The <em>end behavior</em> of a <em>rational function</em> is the limit of the function as x approaches negative infinity and infinity.

Note that the the values of even functions are the same for ± x. That implies that their limits for ± ∞ are equal.

The limits of the quadratic function of general form y=ax^2+bx+c as x approaches negative infinity or infinity, when a  is positive, are infinity.

That is because as the absolute value of x gets bigger y becomes bigger too.

In mathematical symbols, that is:

\lim_{x \to -\infty}3x^2=\infty\\ \\ \lim_{x \to \infty}3x^2=\infty

Hence, the graphs of any quadratic function with positive coefficient of the quadratic term will have the same end behavior as the graph of y = 3x².

Two examples are:

         y=x^2+5x+20\\ \\ y=8x^2+35

5 0
4 years ago
What is the value of x? 36 72 108 144
Tom [10]

Answer: 72

Step-by-step explanation:

just did it

7 0
4 years ago
-24 = -3w +21 what is w?
yuradex [85]

Answer:

w=15

Step-by-step explanation:

7 0
3 years ago
Find all the zeros of the equation. -3x^4+27x^2+1200=0 PLEASE HELP and show work
asambeis [7]

Answer: x=−5 or x=5


Step-by-step explanation:

−3x4+27x2+1200=0

Step 1: Factor left side of equation.

−3(x2+16)(x+5)(x−5)=0

Step 2: Set factors equal to 0.

x2+16=0 or x+5=0 or x−5=0

x=−5 or x=5


8 0
3 years ago
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