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stiv31 [10]
3 years ago
9

About 12% of individuals write with their left hands. If a class of 130 students meets in a classroom with 130 individual desks,

and 14 of the students write with their left hands, the probability that not all left handed students will have access to a special desk, constructed for people who write with their left hands is _______
Mathematics
1 answer:
Lynna [10]3 years ago
3 0

Answer:

0.1019

Step-by-step explanation:

Probability, p=12%=0.12

Sample size, n=130 students

Those writing with left=14 students

Using the formula for binomial distribution

P(X≤x)=\left[\begin{array}{}n\\x\end{array}\right]p^{x}(1-p)^{n-x}

Substituting 0.12 for p, 130 for n, 14 for x we obtain

P(X≤x)=\left[\begin{array}{}130\\14\end{array}\right]0.12^{14}(1-0.12)^{130-14}

P(X≤x)=130C14*0.12^{14}(0.88)^{116}

P(X≤x)=0.1019

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Solve 3x2 18x 15 = 0 by completing the square.
iren2701 [21]
3(x^2 + 6x + 5) = 0
3(x^2 + 6x + 9 + 5 - 9) = 0
3(x + 3)^2 + 3(-4) = 0
3(x + 3)^2 - 12 = 0
3(x + 3)^2 = 12
(x + 3)^2 = 4
x + 3 = sqrt(4)
x = -3 + or - 2
x = -3 + 2 or -3 - 2
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The correct answer option is option c.
3 0
3 years ago
What is the center? (X-0.5)^2+(y-3.5)^2=16
pantera1 [17]

Answer:

(.5,3.5) is the center and 4 is the radius

Step-by-step explanation:

(X-0.5)^2+(y-3.5)^2=16

This is written in the form

(x-h)^2 + (y-k)^2 =r^2

where (h,k) is the center and r is the radius

(X-0.5)^2+(y-3.5)^2=4^2

(.5,3.5) is the center and 4 is the radius

5 0
3 years ago
Read 2 more answers
Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms. g(x)=-2 x²-3(x-2)
valentinak56 [21]

   The function g(x) is a quadratic function:

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  • Its linear term is - 3x
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<h3>What are functions?</h3>

 Functions are algebraic expressions that have at least two variables, in order to make their visual representation through a graph and evaluate their behavior.

 This problem deals with linear or quadratic functions, and these differ in the degree of the exponent of the variable:

  1 : linear

  2 : quadratic

  The function:

g(x) = -2x² - 3(x- 2).

g(x) = -2x² - 3x + 6 , we have a quadratic function.

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  • Its linear term is - 3x
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Learn more about functions at:

brainly.com/question/28586957

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8 0
1 year ago
2/3 (6y - 4) = - 4y <br>​
Nookie1986 [14]

Answer:

y = 1/3

Step-by-step explanation:

2/3 (6y - 4) = - 4y

2(6y-4)/3 = -4y

2(6y-4) = (-3)(4y)

y = 1/3

7 0
2 years ago
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Need help immediately
marin [14]

Answer:

Step-by-step explanation:

If A, B, and C are in the ratio of 2:3:5 and they are each getting some amount of money in that ratio, then to find the total amount of money they split is found in Ax + Bx + Cx and we need to solve for x. What we are told is that the smallest share = 210 and obviously A is the smallest share. Therefore,

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The total sum = 210 + 3(105) + 5(105) so

Total sum = 210 + 315 + 525

Total sum = 1050 and

C's share is 525 and

B's share is 315

6 0
3 years ago
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