MATHEMATICS COLLEGE

2. Briana goes to the store and buys 12 items. Ifeach item is $3.25, what is her total bill without
tax?

Answers

Answer 1
Answer: I think this would be $42.2
I just multiply 12 by 3.25
Answer 2
Answer:

Answer:

12*3.25=39

Step-by-step explanation:

u multiply 12 by 3.25 and then u get ure answer witch is 39!!

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If f (x)=x/2+8 what is f (x) when x=10​

Answers

Answer: 13

Step-by-step explanation: Plug 10 in for x; 10/2=5; 5+8=13

Choose the correct algebraic expression for each phrase 13 times the cost of one ticketPLS HELP IF U KNOW THE ANSWER
t÷13
t-13
13+t
13t​

Answers

Answer:

13t

Step-by-step explanation:
Answer: 13t
You multiply 13 by the cost of a ticket

NBC News reported on May 2, 2013, that 1 in 20 children in the United States have a food allergy of some sort. Consider selecting a random sample of 15 children and let X be the number in the sample who have a food allergy. Then X ~ Bin(15, 0.05). (Round your probabilities to three decimal places.) (a) Determine both P(X ≤ 3) and P(X < 3). P(X ≤ 3) = P(X < 3) = (b) Determine P(X ≥ 4). P(X ≥ 4) = (c) Determine P(1 ≤ X ≤ 3). P(1 ≤ X ≤ 3) = (d) What are E(X) and σX? (Round your answers to two decimal places.) E(X) = σX = (e) In a sample of 90 children, what is the probability that none has a food allergy?

Answers

Answer:

a) P(X ≤ 3) = 0.9946

P(X < 3) = 0.9639

b) P(X ≥ 4) = 0.0054

c) P(1 ≤ X ≤ 3) = 0.5313

d) E(X) = 0.75

σX = 0.84

e) P(X=0) = 0.0099

Step-by-step explanation:

We have x: number in the sample who have a food allergy. As the sample is of n=15 and p=0.05, we have:

X \sim Bin(15, 0.05)

a) We have to determine P(X ≤ 3) and P(X < 3)

We can calculate P(X ≤ 3) as the sum of P(0), P(1), P(2) and P(3).

P(x\leq 3)=\sum_(k=0)^3P(k)\n\n\nP(x=0) = \binom{15}{0} p^(0)q^(15)=1*1*0.4633=0.4633\n\nP(x=1) = \binom{15}{1} p^(1)q^(14)=15*0.05*0.4877=0.3658\n\nP(x=2) = \binom{15}{2} p^(2)q^(13)=105*0.0025*0.5133=0.1348\n\nP(x=3) = \binom{15}{3} p^(3)q^(12)=455*0.0001*0.5404=0.0307\n\n\nP(x\leq 3)=0.4633+0.3658+0.1348+0.0307=0.9946

P(x<3) can be calculated from the previos result as:

P(x<3)=P(X\leq3)-P(3)=0.9946-0.0307=0.9639

b) We can calculate P(X ≥ 4) as:

P(X\geq4)=1-P(X<4)=1-P(X\leq3)=1-0.9946=0.0054

c) We can calculate P(1 ≤ X ≤ 3) as:

P(1 \leq X \leq 3)=P(1)+P(2)+P(3)=0.3658+0.1348+0.0307=0.5313

d) The expected value of a binomial variable is the product of the sample size n and the probability of success p:

E(X)=np=15*0.05=0.75

The standard deviation is calculates as:

\sigma_x=√(np(1-p))=√(15*0.05*0.95)=√(0.7125) =0.84

e) In this case, the sample size is n=90.

We can calculate the probability that none has a food allergy as:

P(x=0) = \binom{90}{0} p^(0)q^(90)=0.95^(90)=0.0099

The constant in the expression 8x 3 + 4x 2 – 9 is

Answers

Answer : 9

Step-by-step explanation:

The answer is 9 because a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.

What are the coordinates of the vertices of the image after a 90-degree counter-clockwise rotation about the origin?
(2,3)
(-3,-1)
(2, -1)

Answers

The coordinates of the vertices of the image after the 90-degree counter- clockwise rotation about the origin is :

  • ( - 3, 2 )
  • ( 1, -3 )
  • ( 1, 2 )

How to rotate 90-degree counter- clockwise rotation about the origin?

To perform a 90-degree counterclockwise rotation about the origin, follow these steps:

  • Write down the coordinates of the point you want to rotate. Let's call the point ( x , y).
  • To perform a counterclockwise rotation, switch the x and y-coordinates and negate the new x-coordinate. The new coordinates will be ( - y , x).

This means that the vertices will become :

( 2 , 3) ⇒ ( - 3, 2 )

( - 3, -1) ⇒ ( 1, -3 )

( 2, - 1) ⇒ ( 1, 2 )

Find out more on rotations at brainly.com/question/2271360

#SPJ1

If triangle ABC = triangle DEC what is the value of x?A. 8
B. 5
C. 4
D. 1
E. 2​

Answers

4x-1                         x + 2

4(1)-1                     (1)+ 2                                     X= 1 is the answer!!!

4 - 1                        1 + 2

=3                            =3

Answer:

5?

Step-by-step explanation:
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