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Tamiku [17]
3 years ago
15

Jim is considering pursuing an MS in Information Systems

Mathematics
1 answer:
xeze [42]3 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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Jennifer hit a golf ball from the ground and it followed the projectile ℎ(t)= −15t^2+100t, where t is the time in seconds, and ℎ
oksano4ka [1.4K]

Answer:

Step-by-step explanation:

In order to find the max height the ball reached, we have to complete the square on that quadratic. That will also, conveniently so, give us the number of seconds it will take the ball to reach that max height, that answer to part b. Let's begin to complete the square. Normally, you would move the constant over to the other side of the equals sign, but there is no constant here. The next step is to get the leading coefficient to be a 1, and ours right now is a -15. So we have to factor it out. Here's where we start the process of completing the square.

-15(t^2-\frac{20}{3}t)=0 Next step is to take half the linear term, square it, and add it to both sides. Our linear term is 20/3. Half of 20/3 is 20/6, and 20/6 squared is 400/36.

-15(t^2-\frac{20}{3}t+\frac{400}{36})=0+??? Because this is an equation, what we add to the left side also has to be added to the right. BUT we didn't just add in 400/36, because we have that -15 out front as a multiplier that refuses to be ignored. What we actually added in was -15(400/36):

-15(t^2-\frac{20}{3}t+\frac{400}{36})=0-\frac{500}{3}

The reason we do this is to create a perfect square binomial on the left which will serve as the number of seconds, h, in the vertex (h, k), where h is the number of seconds it takes the ball to reach its max height, k. Simplifying both sides then gives us:

-15(t-\frac{20}{6})^2=-\frac{500}{3} Finally, we will move the right side over by the left and set the quadratic back equal to h(t):

h(t)=-15(t^2-\frac{20}{3})^2+\frac{500}{3} and from that you can determine that the vertex is (\frac{20}{3},\frac{500}{3}).

The answer to a. is vound in the second number of our vertex: k, the max height. The max of the golf ball was 500/3 feet or 166 2/3 feet.

Part b is found in the first number of the vertex: h, the number of seconds it took the golf ball to reach that max height. The time it took was 3 1/3 seconds.

Part c. is to state the domain (the time) and the range (the height) of the ball.

Domain is

D: {x | 0 ≤ x ≤ 3 1/3} and

Range is

R: {y | 0 ≤ y ≤ 166 2/3}

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3 years ago
Is anyone taking saxon Advanced mathematics?
vivado [14]
Not me...........................
5 0
3 years ago
A rectangle has a length of 14 inches more than twice its height. If the perimeter of a rectangle is 370 inches, find its dimens
Triss [41]
The length equals: 28 then height equals 13.2 because you do perim divide by length which gives you height, then u check and do 13.2 times 28 and get 369.6 then you just round the 6.
7 0
3 years ago
Solve the system of linear equations by substitution x-y=-4 2x+y=4
mylen [45]

Answer:

Given:

x-y=-4

2x+y=4

Step-by-step explanation:

x-y=-4

2x+y=4

add both the equation, we get

⇒  x-y=-4

  2x+y=4

⇒3x=-4+4

⇒3x=0

⇒x=0

∴ to find the value of y, put the value of x in any one equation

⇒x-y=-4

⇒0-y=-4

⇒-y=-4

⇒y=4

∴ x=0, y=4

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3 years ago
There are 150 people at a restaurant 100 of them chose non-vegetarian food, and 50 of them chose vegetarian food for their dinne
Harlamova29_29 [7]
The ratio is 1:3 because every 3 people 1 is a vegetarian
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3 years ago
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