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rusak2 [61]
3 years ago
5

What is the slope of the line that

Mathematics
1 answer:
Naily [24]3 years ago
4 0

Answer:

The line has a slope of zero which means the line is a horizontal line.

Step-by-step explanation:

Given that:

The two points are (-3,2) and (4,2)

Slope of a line is given by the formula,

m = \frac{Rise}{Run} = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Here,

x_{1}=-3,\ y_{1}=2\\x_{2}=4,\ y_{2}=2

Putting these values in formula;

m=\frac{2-2}{4-(-3)} \\m = \frac{0}{4+3}\\m = \frac{0}{7} = 0

Hence,

The line has a slope of zero which means the line is a horizontal line.

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a team of 10 players is to be selected from a class of 6 girls and 7 boys. match each scenario to its probability
mars1129 [50]

Step-by-step explanation:

The selection of r objects out of n is done in

many ways.

The total number of selections 10 that we can make from 6+7=13 students is  

thus, the sample space of the experiment is 286

A.  

"The probability that a randomly chosen team includes all 6 girls in the class."

total number of group of 10 which include all girls is C(7, 4), because the girls are fixed, and the remaining 4 is to be completed from the 7 boys, which can be done in C(7, 4) many ways.

P(all 6 girls chosen)=35/286=0.12

B.

"The probability that a randomly chosen team has 3 girls and 7 boys."

with the same logic as in A, the number of groups were all 7 boys are in, is  

so the probability is 20/286=0.07

C.

"The probability that a randomly chosen team has either 4 or 6 boys."

case 1: the team has 4 boys and 6 girls

this was already calculated in part A, it is 0.12.

case 2, the team has 6 boys and 4 girls.

there C(7, 6)*C(6, 4) ,many ways of doing this, because any selection of the boys which can be done in C(7, 6) ways, can be combined with any selection of the girls.  

the probability is 105/286=0.367

since  case 1 and case 2 are disjoint, that is either one or the other happen, then we add the probabilities:

0.12+0.367=0.487 (approximately = 0.49)

D.

"The probability that a randomly chosen team has 5 girls and 5 boys."

selecting 5 boys and 5 girls can be done in  

many ways,

so the probability is 126/286=0.44

Did this help??

8 0
3 years ago
Enter the value of <br><br> 3 + (10 x 12) – 7
Margarita [4]

Answer:

116

Step-by-step explanation:

Pemdas so do the 10 × 12 first... you get 120 the you go left to right so 3 + 120 = 123... subtract 7 from that and you get 116.

7 0
2 years ago
Consider the following function. f(x) = 1/x, a = 1, n = 2, 0.6 ≤ x ≤ 1.4 (a) Approximate f by a Taylor polynomial with degree n
Xelga [282]

Answer:

y - 1 = 0

Step-by-step explanation:

move constant to the left by adding its opposite to both sides y - 1 = 1 - 1

the sum two opposites equals 0

y =1

7 0
3 years ago
Find the area of the semicircle. Round your answer to the nearest hundredth.<br> PLEASEE HELPP
trapecia [35]

Answer:

Area of semicircle = 226.08 in²

Step-by-step explanation:

Diameter of semicircle = 24 in

We need to find area of semicircle.

The formula used to find area of semicircle is: Area=\frac{\pi r^2}{2}

First we will find radius

We know that: radius = diameter/2 = 24/2 = 12

Now, finding area

Area=\frac{\pi r^2}{2}\\Area=\frac{3.14\times (12)^2}{2}\\Area=\frac{452.16}{2}\\Area=226.08\:in^2

So, Area of semicircle = 226.08 in²

7 0
3 years ago
What is the lcm of 32 and 14​
storchak [24]

the answer is  224 im pretty sure hope this helps

3 0
3 years ago
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