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Mashcka [7]
3 years ago
5

Expressions Task Card # 3

Mathematics
1 answer:
Mama L [17]3 years ago
6 0
Total $ = 2.50x+6
First multiply x by 2.50
Then add 6 to get the total amount spent.
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Celina and Richard spend a certain amount of money from their money box each month to buy plants.
loris [4]

Answer:

100

Step-by-step explanation:

5 0
3 years ago
How much longer is the distance from the library to the park to the train station than the distance from the library straight to
Slav-nsk [51]

Answer:

2.14

Step-by-step explanation:

2.14+3.82= 5.96

5.96-3.82= 2.14

So, your answer would be 2.14

7 0
2 years ago
10x+20=7x-8<br><br> Solve for x.
Kazeer [188]

Step-by-step explanation:

Isolate the variable

10x - 7x = -20 - 8

3x = -28

x = -9.333333333333

5 0
3 years ago
(4x^4+7x+5x^3)+(8x^4+6x^3-3x)-(4x^4+4x^3-8x)<br>plz help​
ryzh [129]

Answer:

8x⁴ - 7x³ + 12x

Step-by-step explanation:

=(4x⁴ + 7x + 5x³) + (8x⁴ + 6x³ - 3x)- (4x⁴ + 4x³ - 8x)

=4x⁴ + 7x + 5x³ + 8x⁴ + 6x³ - 3x - 4x⁴ - 4x³ + 8x

=4x⁴ + 8x⁴ - 4x⁴+ <em>5x³ + 6x³ - 4x³</em> + <u>7x - 3x + 8x</u>

=8x⁴ + 7x³ + 12x

4 0
3 years ago
A real estate agent has 12 properties that she shows. She feels that there is a 30% chance of selling any one property during a
Ronch [10]

Answer:

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

A real estate agent has 12 properties that she shows.

This means that n = 12

She feels that there is a 30% chance of selling any one property during a week.

This means that p = 0.3

Compute the probability of selling no more than 2 properties in one week.

2 or less sold, which is:

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138

P(X = 1) = C_{12,1}.(0.3)^{1}.(0.7)^{11} = 0.0712

P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678

Then

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0138 + 0.0712 + 0.1678 = 0.2528

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

8 0
3 years ago
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