1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Harman [31]
3 years ago
12

There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same sta

te. b How many ways can we choose a Senator from a chosen state? (ITS NOT 156800)
Mathematics
2 answers:
storchak [24]3 years ago
6 0

Answer:

The answer is 2

LenaWriter [7]3 years ago
5 0

Answer:

940800 different ways to create the committee.

Step-by-step explanation:

1 chosen from 100 leaves 98 to chose from on the second pick because the other senator from the same state is also eliminated. The second choice leaves 96 available for the third selection.

So multiply 100×98×96=940800

You might be interested in
At work, Brett must check and record the internal temperature of the freezer on an hourly basis. When working properly, the temp
kiruha [24]

Answer:

Zero

Step-by-step explanation:

The temperature will remain constant over time. This means the slope of the graph will be constant from one point of the graph to the other, which cancels out to zero.

8 0
3 years ago
Whats the perimeter and area of this shape?
stich3 [128]

Answer:

<u>60+14.35=88.27</u>

Step-by-step explanation:

5x12 for the rectangle on the right, then for the circle, using the formula A=πr², I get 28.27, which you divide by 2 because you only need half of the circle, and you get 88.27. I calculated the radius by subtracting 12-6 and then dividing that in half because the radius is half of the distance to the other end of the circle. Then you get the radius of 3, then plug it into the formula to get π(3)², which is just 3.14(9), and you get 28.27.

8 0
3 years ago
Read 2 more answers
The length of a rectangle is 3 centimeters less than four times its width. Its area is 10 square centimeters. Find the dimension
Kay [80]

Answer:

W = 2 cm

L = 5 cm

Step-by-step explanation:

A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. Its area, the amount of space inside it, can be found using the formula A = l*w. If the area is 10 cm² and the length is "3 cm less than 4 times the width" or 4w - 3, you can substitute and solve for w.

A = l*w

10 = (4w - 3)(w)

10 = 4w² - 3w

Subtract 10 from both sides to make the equation equal to 0. Then solve the quadratic by quadratic formula.

4w² - 3w - 10 = 0

Substitute a = 4, b = -3 and c = -10.

w = \frac{3 +/- \sqrt{(-3)^2 - 4(4)(-10)} }{2(4)} = \frac{3 +/- \sqrt{9 +160)} }{8} =  \frac{3 +/- \sqrt{169} }{8} = \frac{3+/-13}{8}

There are two possible solutions which can be found.

3 + 13 / 8 = 16/ 8 = 2

3 - 13 / 8 = -10/8 = -5/4

Since w is a side length or distance, it must be positive so w = 2 cm.

If the width is 2 cm then the length is 4(2) - 3 = 8 - 3 = 5 cm.

8 0
3 years ago
Can someone help me with this math homework please!
Daniel [21]

Answer:

1st, 2nd and 6th options

Step-by-step explanation:

Given

\frac{2}{3} - x + \frac{1}{6} = 6x ( multiply through by 6 to clear the fractions )

4 - 6x + 1 = 36x ← option 1 will have the same solution set

----------------------------------------------------------------------

Adding the 2 fractions on the left side gives

\frac{4}{6} +\frac{1}{6} - x = 6x , that is

\frac{5}{6} - x = 6x ← option 2 will have the same solution set

------------------------------------------------------------------------

From

4 - 6x + 1 = 36x ( add 6x to both sides )

5 = 42x ← option 6 will have the same solution set

8 0
2 years ago
7400 dollars is placed in an account with an annual interest
Anastasy [175]

Answer:

17

Step-by-step explanation:

We have the following equation for compounding annual interest

AV=PV(1+i)ⁿ

We have

19200=7400(1+.06)ⁿ

Solve for n

divide both sides by 7400

2.594=(1.06)ⁿ

then use the following rule for exponents

x^y=z\\log_xz=y

which means that

log_{1.06}2.594=n

Solve and get

16.362

which rounds to 17

6 0
3 years ago
Other questions:
  • An _____ angle of a triangle is equal to the sum of the two remote interior angles
    9·1 answer
  • Find the pattern rule or the following numerical pattern:1,3,11,43
    12·1 answer
  • Genevieve wants to buy a laptop that originally cost p dollars. The laptop is on sale for $100 off. Genevieve also has a 15% off
    7·1 answer
  • Compute the standard deviation for the set of data. 2, 5, 6, 8, 14
    7·1 answer
  • If y varies inversely as x2 and y = 3 when x = 2, find the equation that connects x and y.
    12·1 answer
  • Which of the following statements are true about the graph of f(x)= csc x? select all that apply
    10·2 answers
  • True or False:
    12·2 answers
  • What is the value of x?
    10·1 answer
  • What is the value of the discriminant for the quadratic equation?<br> 6x^2 - 2x + 5 = 0
    9·1 answer
  • Kathi and Robert
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!