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Allushta [10]
3 years ago
10

Simplify the expression by combining like terms. 7.2(x + 3) + 4(x - 3)

Mathematics
1 answer:
siniylev [52]3 years ago
3 0

Answer: 11.2x -9.6

Step-by-step explanation:

7.2(x + 3) + 4(x - 3) -  12       - 7.2* (x + 3) + + 4*(x - 3) then

7.2x + 21.6 + 4x -  12  - Combining like terms 7.2x+ 4x  and numbers + 21.6-  12          

7.2x + 4x +21.6 -12       Then we have

11.2x -9.6

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Find the probability of winning a lottery by selecting the correct six integers, where the order in which these inte
stich3 [128]

The probability of winning a lottery by selecting the correct six integers, are

\begin{aligned}&(a) 1.68 \times 10^{-6} \\&(b) 5.13 \times 10^{-7} \\& (c) 1.91 \times 10^{-7} \\&(d)8.15 \times 10^{-8}\end{aligned}

<h3>What is binomial distribution?</h3>

The binomial distribution is a type of probability distribution that expresses the probability that, given a certain set of characteristics or assumptions, a value would take one of two distinct values.

Part (a); positive integers not exceeding 30.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other twenty-four.

\frac{\left(\begin{array}{c}6 \\6\end{array}\right)\left(\begin{array}{c}24 \\0\end{array}\right)}{\left(\begin{array}{c}30 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}30 \\6\end{array}\right)}=1.68 \times 10^{-6}

Part (b); positive integers not exceeding 36.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other thirty.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}30 \\0\end{array}\right)}{\left(\begin{array}{c}36 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}36 \\6\end{array}\right)}=5.13 \times 10^{-7}

Part (c); positive integers not exceeding 42.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the 36 other integers.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}36 \\0\end{array}\right)}{\left(\begin{array}{c}42 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}42 \\6\end{array}\right)}=1.91 \times 10^{-7}

Part (d); positive integers not exceeding 48.

To calculate the probability, use binomial coefficients. Choose six of the six accurate integers and none of the other 42.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}42 \\0\end{array}\right)}{\left(\begin{array}{c}48 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}48 \\6\end{array}\right)}=8.15 \times 10^{-8}

To know more about binomial probability, here

brainly.com/question/9325204

#SPJ4

The complete question is-

Find the probability of winning a lottery by selecting the correct six integers, where the order in which these integers are selected does not matter, from the positive integers not exceeding a) 30. b) 36. c) 42. d) 48.

5 0
2 years ago
find the coordinate of U' after a 90° counterclockwise rotation of the triangle about the origin and then a translation of 2 uni
SVETLANKA909090 [29]

Answer: U' = (0, 1)

<u>Step-by-step explanation:</u>

U = (3, -5)

rotate 90° counterclockwise means (x, y) = (-y, x)

new U = (5, 3)

down 2 units means subtract 2 from the y-coordinate

newer U = (5, 1)

left 5 units means subtract 5 from the x-coordinate

U' = (0, 1)

6 0
3 years ago
(-w^3 + 8w^2 – 3w) + (-8w^2 + w + 3) =
kherson [118]
The expression simplified is -w^3-2w+3

I hope this helped
4 0
3 years ago
Using the table created in part A, determine how long it will take to complete the calls if Emma and Jackson work together.
natta225 [31]

Answer:

a

Step-by-step explanation:

4 0
3 years ago
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Martina drove 385 miles in 7 hours. at the same rate, how long would it take her to drive 495 miles?
Anarel [89]

385/7 = 495/x

Answer: 9 hours

5 0
3 years ago
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