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Mademuasel [1]
3 years ago
13

A four digit number (with no repetitions) is to be formed from the set of numbers {0,1,2,3,4,5,6,7}. Find the probability that t

he number
a) is even
b) is odd
c) is less than 4000
d) is less than 4000, given that it is greater than 3000
Mathematics
1 answer:
QveST [7]3 years ago
5 0
Even # --------- if it ends with 0, # of ways = 6*5*4 = 120 if not, 3 ways for ending digit, 5 ways for 1st digit, 5*4 for middle digits = 300 
so total ways = 420 
odd # --------- 4 ways of ending digit, 5 ways for 1st digit, 5*4 for middle digits = 400 ways 
< 4000: ---------- 3 ways for starting digit, 6*5*4 ways for remaining digits = 360 ways 
> 3000 & < 4000 ------------------------ 1 way for starting digit , 6*5*4 for remaining digits = 120 ways 
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Answer:

The Value of c can be found using the formula 3c = 8.37. Each Baseball costs $2.79

Step-by-step explanation:

3c=8.37 divide 3c and 8.37 by 3 and it will tell you that c = 2.79.

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Once Jeremy is on the fire escape he runs 2 feet to the staircase. He then runs across the width of the building. Which of the f
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<h3>Answer: Choice D.  4^2+5^2 = x^2</h3>

See note at the bottom

========================================================

The entire building is 20 feet. Fifteen feet of that is from the ground to the first landing of the stairs or fire escape. So 20-15 = 5 feet represents the height of the second set of stairs (leading to the roof of the building)

The base of the triangle is 4 feet as shown in the diagram. The height is 5 feet as found in the prior paragraph. Use the pythagorean theorem to say

a^2 + b^2 = c^2

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Note: If you meant to write 4^2+5^2 = x^2 for choice D, then that would be the answer. Otherwise, there is a typo somewhere.

4 0
3 years ago
The function H(t) = −16t2 + 75t + 25 shows the height H(t), in feet, of a baseball after t seconds. Part A: After how many secon
nlexa [21]

Step-by-step explanation:

Given that,

The function that shows the height of a baseball after t seconds is given by :

H(t)=-16t^2+75t+25 ....(1)

Part (A).

When the baseball hits the ground,

H(t) = 0

So,

-16t^2+75t+25=0\\\\t=5\ s\ and\ t=-0.31\ s

After 5 seconds the baseball will hit the ground.

Pat (B)

For maximum height, put dH/dt = 0

So,

\dfrac{d}{dt}(-16t^2+75t+25)=0\\\\-32t+75=0\\\\t=2.34\ s

Put t = 2.34 s in equation (1).

H(t)=-16(2.34)^2+75(2.34)+25\\\\H(t)=112.89\ m

Hence, this is the required solution.

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3 years ago
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hodyreva [135]
What is the question?
7 0
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