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dmitriy555 [2]
3 years ago
8

Football team consists of 20 each freshman and sophomores, 15 juniors, and 10 seniors. Four players are selected at random to se

rve as captains. Find the probability that.
a. All 4 are seniors.
b. There is 1 each: freshman, sophomore, junior, and senior.
c. There are 2 sophomores and 2 freshmen.
d. At least 1 of the students is a senior.
Mathematics
1 answer:
Naya [18.7K]3 years ago
8 0

Answer:c

Step-by-step explanation:

c

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You earn a new a weekly allowance of five dollars and your neighbor is paying you 7.50 per hour for shoveling the driveway how m
Leokris [45]

Answer:

Hours of work= 3.5

Step-by-step explanation:

Giving the following information:

Allowance= $5

Hourly pay= $7.5

Desired profit= $31

<u>To calculate the number of hours to work, we need to use the following formula:</u>

Hours of work= shoveling pay / hourly pay

Hours of work= (31 - 5)/7.5

Hours of work= 26/7.5

Hours of work= 3.5

6 0
3 years ago
What is
disa [49]
<h3>Explanation:</h3>

There is a theorem :

\mathbf{a^{2}-b^{2}=(a-b)(a+b)}

Proof: open the brackets on right side of equality by using distributive property

RHS = a(a+b) - b(a+b)

RHS = \mathrm{a^{2}+ab-ab-b^{2}}

RHS = \mathrm{a^{2}-b^{2}} = LHS

Using the above theorem you can solve every question you asked:

  • \mathrm{4x^{2}-1=(2x)^{2}-1^{2}=(2x-1)(2x+1)}
  • \mathrm{9x^{2}-64=(3x)^{2}-(8)^{2}=(3x-8)(3x+8)}
  • \mathrm{49x^{2}-121=(7x)^{2}-(11)^{2}=(7x-11)(7x+11)}
  • \mathrm{4x^{2}-y^{2}=(2x)^{2}-y^{2}=(2x-y)(2x+y)}
  • \mathrm{9x^{2}-b^{2}=(3x)^{2}-b^{2}=(3x-b)(3x+b)}
  • \mathrm{16x^{2}-9b^{2}=(4x)^{2}-(3b)^{2}=(4x-3b)(4x+3b)}
  • \mathrm{x^{2}-42^{2}=(x-42)(x+42)}
6 0
4 years ago
The hypotenuse of a right triangle is 26 centimeters and one leg is 24 centimeters. Find the number of centimeters in the second
horsena [70]
To find the answer. you have to use the pythagorean theorem. 

a² + b² = c²         where "a" and "b" are the legs and "c" is the hypotenuse.

24² + b² = 26²

576 + b² = 676

b² = 676 - 576

b² = 100

√b² = √100

b = 10  so 10 is the number of the second leg.

hope this helps, God bless!
7 0
3 years ago
Write in slope-intercept form an equation of the line that passes through the points (−5,−9) and (5,1).
o-na [289]

Answer:

y=x-4

Step-by-step explanation:

The slope is given by

m = (y2-y1)/(x2-x1)

m = (1--9)/(5--5)

m = (1+9)/(5+5)

    = 10/10

   = 1

The slope is 1

We have the slope and a point,so we can use point slope form

y-y1 = m(x-x1)

y-1 = 1(x-5)

y-1 = x-5

Add 1 to each side

y-1+1 = x-5+1

y=x-4

This is slope intercept form (y= mx+b)

3 0
4 years ago
In the diagram below, xy and z are tangent to 0. What is the measure of XZ?
VladimirAG [237]

Answer:

360 - 230 = 130°

Step-by-step explanation:

3 0
3 years ago
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