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4 years ago

Jim is considering pursuing an MS in Information Systems

Mathematics

1 answer:

xeze [42]4 years ago

6 0

Answer:

9% probability that Jim will be accepted at both universities

Step-by-step explanation:

We have these following probabilities:

A 20% probability that Jim is accepted into the University X.

A 45% probability that Jim is accepted into the University Y.

What is the probability that Jim will be accepted at both universities?

It is the multiplication of both these probabilities

So there is a 0*2*0.45 = 0.09 = 9% probability that Jim will be accepted at both universities

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A cylinder has a height of 4 meters and a diameter that is 12 meters. Using 3.14 for pi, which of the following can be used to c

Studentka2010 [4]

Answer:

Step-by-step explanation:

h = 4 m

d = 12 m

r = 12/2 = 6 m

Volume of cylinder = πr²h

= 3.14 * 6 * 6 * 4

= 452.16 m³

6 0

3 years ago

The coordinates of the vertices of triangle ABC are A(3,6), B(6, 3), and C(9, 9). If triangle ABC Is dilated by 1/3x and 1/3y to

katovenus [111]

Answer:

$A' = (1,2)$

$B'=(2,1)$

$C' =(3,3)$

Step-by-step explanation:

Given

$A = (3,6)$

$B = (6,3)$

$C = (9,9)$

$Scale = \frac{1}{3}$

Required

Determine the vertices of ABC

If truly the question asks for the vertices of ABC, then the vertices are:

$A = (3,6)$ $B = (6,3)$ $C = (9,9)$

However, I'm quite sure that's not the requirement of the question. So, I'll solve for A'B'C'

To do this, we simply multiply the vertices of ABC by the scale of dilation.

$(A'B'C') = Scale\ Factor * (ABC)$

$A' = \frac{1}{3} * A$

$A' = \frac{1}{3} * (3,6)$

$A' = (\frac{3}{3},\frac{6}{3})$

$A' = (1,2)$

$B' = \frac{1}{3} * B$

$B' = \frac{1}{3} * (6,3)$

$B' = (\frac{6}{3},\frac{3}{3})$

$B'=(2,1)$

$C' = \frac{1}{3} * C$

$C' = \frac{1}{3} * (9,9)$

$C' = (\frac{9}{3},\frac{9}{3})$

$C' =(3,3)$

6 0

3 years ago

Please help :)<br><br>which box is correct?

professor190 [17]

Answer: 4th one?

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A) x = 30 b) x = 40 C) x = 45 70

tiny-mole [99]

Step-by-step explanation:

I would help i really would but I need more info discussing the topic im sorry but I can't answer it

5 0

3 years ago

Check my work Check My Work button is not enabled 1 Item 3 Item 3 10 points Beer bottles are filled so that they contain an aver

Romashka-Z-Leto [24]

Answer: The probability that a random selected bottle will have less than 440 ml of beer is 23.882% (0.23882)

find attached drawing of the area under the normal distribution and readings off the normal distribution table

Step-by-step explanation:

QUESTION: Beer bottles are filled so that they contain an average of 445 ml of beer in each bottle. Suppose that the amount of beer in a bottle is normally distributed with a standard deviation of 7 ml. a. What is the probability that a randomly selected bottle will have less than 440 ml of beer

ANSWER:

Taken the given data from the question,

mean = μ = 445 ml

standard deviation = σ = 7 ml

x= 440 ml

One would also need to illustrate the area covered by such a region in a normal distribution curve (Kindly find attached a diagram of this)

FIRST STEP Find the z-score

The distribution is a normal distribution, so the z-score is

z = (x-μ)/σ = (440 - 445)/7 = -0.71 (2 d.p)

SECOND STEP Finding the probability of the z-score from a normal distribution which is equivalent to the the probability we are looking for

Pr(x < 440 ml) = Pr (z < -0.71) = 0.23882 [THIS IS GOTTEN FROM THE STANDARD NORMAL DISTRIBUTION TABLE, kindly find attached a picture illustrating the way the solution is gotten from the table]

The standard normal distribution table takes the probability of areas to the left. Reading the table one should take the the value with -0.7 and the 0.01.

Therefore, the probability of a beer chosen at random to be less than 440 ml is 23.882% (leaving in percentage or 0.23882)

8 0

3 years ago