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Rufina [12.5K]
3 years ago
12

evaluate the following expression using the values given: find 3x − y − 3z if x = −2, y = 1, and z = −2. a -13 b-1 c 1 d 13

Mathematics
1 answer:
Fantom [35]3 years ago
6 0
3x - y - 3z
The answer is b. -1
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in Joell's math class there are 8 girls and 17 boys. Based on this ratio how many students would be boys in the total school of
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So the total number of students equals 8+17 = 25 students
Proportionally:
\frac{17}{25} =  \frac{x}{100}

Thus,
x =  \frac{17*100}{25} = 68 boys out of the 100 students.
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3 years ago
In a survey of adults who follow more than one sport, 30% listed football as their favorite sport. You survey 15 adults who foll
maxonik [38]

Answer: 0.5

Step-by-step explanation:

Binomial probability formula :-

P(x)=^nC_x\ p^x(q)^{n-x}, where P(x) is the probability of getting success in x trials , n is the total trials and p is the probability of getting success in each trial.

Given : The probability that the adults follow more than one game = 0.30

Then , q= 1-p = 1-0.30=0.70

The number of adults surveyed : n= 15

Let X be represents the adults who follow more than one sport.

Then , the probability that fewer than 4 of them will say that football is their favorite sport,

P(X\leq4)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)\\\\=^{15}C_{0}\ (0.30)^0(0.70)^{15}+^{15}C_{1}\ (0.30)^1(0.70)^{14}+^{15}C_{2}\ (0.30)^2(0.70)^{13}+^{15}C_{3}\ (0.30)^3(0.70)^{12}+^{15}C_{4}\ (0.30)^4(0.70)^{11}\\\\=(0.30)^0(0.70)^{15}+15(0.30)^1(0.70)^{14}+105(0.30)^2(0.70)^{13}+455(0.30)^3(0.70)^{12}+1365(0.30)^4(0.70)^{11}\\\\=0.515491059227\approx0.5

Hence, the probability rounded to the nearest tenth that fewer than 4 of them will say that football is their favorite sport =0.5

4 0
3 years ago
Can a matrix of dimensions 2 X 4 be added to another matrix with dimensions of 2 X 6?
Rus_ich [418]

Answer:

No.

Step-by-step explanation:

It has different order of matrices .

For <em>A</em><em>d</em><em>d</em><em>i</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em>or <em>S</em><em>u</em><em>b</em><em>s</em><em>t</em><em>r</em><em>a</em><em>c</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em>, both matrices must have the same number of <u>r</u><u>o</u><u>w</u><u>s</u> and <u>c</u><u>o</u><u>l</u><u>u</u><u>m</u><u>n</u><u>s</u> .

8 0
3 years ago
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