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77julia77 [94]
3 years ago
13

Josephine wrote the numbers 1-100 and placed them in a bag. If she selects a number without looking, what is the probability tha

t the number is greater than 78? Input your answer as a decimal or fraction.
Mathematics
1 answer:
Nady [450]3 years ago
6 0

Answer:

0.22

Step-by-step explanation:

The numbers that would be greater than 78 would include numbers after 78. that is 79, 80 ... 100

The total numbers greater than 78 is 22.

And there are 100 numbers in the bag . the probability of picking a number greater than 78 is 22/100 = 0.22

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When Daniel left his house in the morning, his cell phone battery was partially
Mila [183]

Answer:

24.75 percents

Step-by-step explanation:

6 0
3 years ago
Please help
Schach [20]

Answer:

Hence, option: B is correct (11.02 seconds)

Step-by-step explanation:

Spencer hits a tennis ball past his opponent. The height of the tennis ball, in feet, is modeled by the equation h(t) = –0.075t2 + 0.6t + 2.5, where t is the time since the tennis ball was hit, measured in seconds.

Now we are asked:

How long does it take for the ball to reach the ground?

i.e. we have to find the value of t such that height is zero i.e. h(t)=0.

-0.075t2+0.6t+2.5=0

or 0.075t^2-0.6t-2.5=0

i.e. we need to find the roots of the above quadratic equation.

on solving the equation we get two roots as:

t≈ -3.02377 and t≈11.0238

As time can't be negative; hence we will consider the value of t as t≈11.0238.

Hence it takes 11.02 seconds for the ball to reach the ground.

Hence option B is correct (11.02 seconds).

7 0
4 years ago
Read 2 more answers
What is the solution of x=2+ square root x-2?
alex41 [277]

So I'm going to assume that this question is asking for <u>non extraneous solutions</u>, or solutions that are found in the equation <em>and</em> are valid solutions when plugged back into the equation. So firstly, subtract 2 on both sides of the equation:

x-2=\sqrt{x-2}

Next, square both sides:

(x-2)^2=x-2\\(x-2)(x-2)=x-2\\x^2-4x+4=x-2

Next, subtract x and add 2 to both sides of the equation:

x^2-5x+6=0

Now we are going to be factoring by grouping to find the solution(s). Firstly, what two terms have a product of 6x^2 and a sum of -5x? That would be -3x and -2x. Replace -5x with -2x - 3x:

x^2-2x-3x+6=0

Next, factor x^2 - 2x and -3x + 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

x(x-2)-3(x-2)=0

Now you can rewrite the equation as (x-3)(x-2)=0

Now, apply the Zero Product Property and solve for x as such:

x-3=0\\x=3\\\\x-2=0\\x=2

Now, it may appear that the answer is C, however we need to plug the numbers back into the original equation to see if they are true as such:

2=2+\sqrt{2-2}\\2=2+\sqrt{0}\\2=2+0\\2=2\ \textsf{true}\\\\3=2+\sqrt{3-2}\\3=2+\sqrt{1}\\3=2+1\\3=3\ \textsf{true}

Since both solutions hold true when x = 2 and x = 3, <u>your answer is C. x = 2 or x = 3.</u>

8 0
3 years ago
I NEED TO GET THIS DONE BEFORE THE 8TH <br> I forgot how to do this can I get some help.
-Dominant- [34]

Answer:

Step-by-step explanation:

they want to know the high and low quiz scores... that's all

6 0
3 years ago
THIS IS FOR MY TEST PLEASE HELP
AVprozaik [17]
2(3x+4y) = 2(24)
6x+8y = 48
Add both the equations
6x + 8y = 48
+ x - 8y = -20
—————————
7x = 28
x = 28/7
x = 4

Plug in this value in the second equation

(4) - 8y = -20
-8y = -24
y = -24/-8
y = 3

Therefore:
x = 4
y = 3
7 0
3 years ago
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