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3 years ago

Simplify 13x + 2y - 10x -7y

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

4 0

Answer:

3x-5y

Step-by-step explanation:

Combine like terms

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Michael misses 10% of the free throws he attempts in a season. How many total free throws did he attempt if he missed 19?

pishuonlain [190]

Answer:

190

Step-by-step explanation:

19x100= 1900/10 = 190 throws

3 0

3 years ago

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A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. If they randomly decide who will

Eddi Din [679]

Answer:

D. 0.821

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The combinations formula is important to solve this question:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes

The order is not important. For example, Elisa, Laura and Roze is the same outcome as Roze, Elisa and Laura. This is why we use the combinations formula.

At least 3 girls.

3 girls

3 girls from a set of 5 and 2 boys from a set of 3. So

$C_{5,3}*C_{3,2} = 30$

4 girls

4 girls from a set of 5 and 1 boy from a set of 3. So

$C_{5,4}*C_{3,1} = 15$

5 girls

5 girls from a set of 5

$C_{5,5} = 1$

$D = 30+15+1 = 46$

Total outcomes

5 from a set of 8. So

$T = C_{8,5} = 56$

Probability

$P = \frac{D}{T} = \frac{46}{56} = 0.821$

So the correct answer is:

D. 0.821

6 0

3 years ago

Read 2 more answers

What is the euclidean distance between x(3,2,5) and y(2,3,3) in three dimensional space?

Likurg_2 [28]

Answer:

b) 2.45

Step-by-step explanation:

The Euclidean distance in 3-space is the root of the sum of the squares of the x-, y-, and z-differences between the points.

<h3>Application</h3>

For the given points ...

$x(3,2,5)=(x_1,y_1,z_1)\quad\textsf{and}\quad y(2,3,3)=(x_2,y_2,z_2)$

The distance between x and y is ...

$d=\sqrt{(x_2-x_1)^2+(y_2=y_1)^2+(z_2-z_1)^2}\\\\d=\sqrt{(2-3)^2+(3-2)^2+(3-5)^2}=\sqrt{1+1+4}\\\\d=\sqrt{6}\approx2.45$

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2 years ago

Jenna and Maria are hiking to a campsite located at

Vedmedyk [2.9K]

Answer:

12.5 miles

Step-by-step explanation:

-3,1 is 5 away from 2,1 so 2.5 times 5 equals 12.5

6 0

3 years ago

What is the value of the function f(x)=1/4x-3 when x = 12?

elena55 [62]

F(x) = 1/4x -3 = 1/4*12-3

= 1/45

7 0

3 years ago