Assume there are 11 voting districts in the county.  Polly Tician is running for office. She figures she must win at least 7 of the districts to win the election.  If she has an equal chance of 60% to win any one district, what are her chances of winning the election?

Answers

Answer 1

Answer:

53.3%

Step-by-step explanation:

Here we will use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

In this case, n = 11, r ≥ 7, p = 0.6, and q = 0.4.

P = ₁₁C₇ (0.6)⁷ (0.4)⁴ + ₁₁C₈ (0.6)⁸ (0.4)³ + ₁₁C₉ (0.6)⁹ (0.4)² + ₁₁C₁₀ (0.6)¹⁰ (0.4)¹ + ₁₁C₁₁ (0.6)¹¹ (0.4)⁰

P = 0.236 + 0.177 + 0.089 + 0.027 + 0.004

P = 0.533


Related Questions

Can some one help me find x?

Answers

Answer:

x = 20

Step-by-step explanation:

Exterior angles are equal.

7x - 3 = 6x + 17

Add 3 and subtract 6x to both sides.

x = 20 is the answer.

answer: x=20


...........................

An item that cost $220 has been marked up by 15% since last year. However, a person can buy the item for a 25%
employee discount. How much will the employee pay?

Answers

Answer:189.75

Step-by-step explanation: 220 * 0.15 = 33

220 + 33 = 253

253 * 0.25 = 63.25

253 - 63.25 = 189.75


Which inequality is equivalent to x/2+3 < 12?
0x<4.5
0x<9
Ox+6= 12
0x< 18

Answers

Answer:

x < 18

Step-by-step explanation:

just solve for x

subtract 3 from both sides

then multiply 2 to both sides

What is the difference between a tax credit and a tax deduction?

Answers

Answer:

A deduction can only lower your taxable income and the tax rate that is used to calculate your tax. This can result in a larger refund of your withholding. A credit reduces your tax giving you a larger refund of your withholding, but certain tax credits can give you a refund even if you have no withholding.

Step-by-step explanation:

I know m<1 is 55 but I don’t know 2 &3. Please help.

Answers

2 is 55 and 3 is 180-150 so 30

First person to answer this gets brainllest
{15 x 17 x 45} + {76 x 54} = _____

Answers

Answer:

15579

Step-by-step explanation:

That's the answer I got it right in a test

What are the values of a and b?

Answers

Step-by-step explanation:

c.....................

Answer:

A

Step-by-step explanation:

Both triangles are similar triangles!

Length 21 for the top triangle is similar to length 20 for the bottom triangle

Length 29 for the top is similar to b on the bottom.

Length 20 for the top is similar to a on the bottom.

Use the first ratio: 21/20 to find the proportionality constant.

Divide 29 by that constant to get b

Divide 20 by that constant to get a

You end up with b = 580/21 (= 27.61), and a = 400/21 (= 19.047)

Therefore A is the right answer.

Which of the following is an open sentence?

A
p is a prime number.

B
11 is an prime number.

C
12 is an prime number.

D
13 is an prime number.

Answers

A is the correct answer

Answer:

A

Step-by-step explanation:

This is because an open sentence is any statement with a variable.

What is 3 as a fraction

Answers

yea it’s 3/1
3/1 3/1 3/1

Answer:

3/10

Step-by-step explanation:

what number is represented by this number discs​

Answers

Answer:

15

Step-by-step explanation:

A parabola can be drawn given a focus of (5, -7) and a directrix of x=1. Write the equation of the parabola in any form.

Answers

Answer:

x = 1/8(y^2 + 14y + 73)

Step-by-step explanation:

Take any point on the curve (x, y). This is a parabola that opens to the right and contains  terms in x and y^2.

The distance of this point from the focus = its distance from the directrix, so:

sqrt [( x - 5)^2 + (y + 7)^2) = (x - 1)

Squaring both sides:

(x - 5)^2 + (y + 7)^2 = (x - 1)^2

x^2 -10x + 25 + y^2 + 14y + 49 = x^2 - 2x + 1

y^2 + 14y + 73 = 8x

x = 1/8(y^2 + 14y + 73)

workout the value of (10^4)^2

Answers

Answer: the answer is 100000000

Step-by-step explanation: that is that because 10 to the 4th power is 10000 times 10000 is 100000000

Answer is : 100000000

In a fourth grade class, four-sixths of the students are girls. If there are 20 girls, what is the total number of
students in the class?
students

Answers

Answer:

30 students.

Step-by-step explanation:

Since 20 girls make up 4/6 of the class, 1/6 of the class would be 5 students. 5*6=30, resulting in 30 students total.

Which equation has a constant of proportionality equal to 0.25
Choose 1 answer

Answers

ANSWER: y=1/4x

explanation: if the constant of proportionality is k, then:
y=kr
in which 1/4 equals .25 so it is equivalent

8/3+7/5a

Simplify your answer as much as possible.

Answers

Answer:

mixed number: 4 1/15

Exact: 61/15

I think the answer is 8/3 + 7a/5

A number is at least -6

Answers

Answer:

X < -6

( put a line underneath the less than sign )

Step-by-step explanation:

Hope this helped, Have a Wonderful Day/Night!!!

Computer use.
A random sample of 197 12th-grade students from across the United States was surveyed, and it was observed that these students spent an average of 23.5 hours on the computer per week, with a standard deviation of 8.7 hours. If we plan to use these data to construct a 99% confident interval, the margin of error will be approximately.

(a.) 0.07
(b.) 0.62
(c.) 1.6
(d.) 8.7

Answers

Answer:

The margin of error will be approximately =

(c.) 1.6

Step-by-step explanation:

Sample of 12th-grade students = 197

Average hours spent on computer per week = 23.5 hours

Total hours spent = 4,625 (197 * 23.5) hours

Standard deviation = 8.7 hours

Confidence interval = 99%

Square root of sample size = [tex]\sqrt{x}[/tex] = 14.04

Standard deviation/square root of sample size = 8.7/14.04 = 0.6196

Z value at 99% confidence = 2.58

Margin of error = 0.6196 * 2.58

= 1.59857

= 1.6

This question can be determined by the  concept of standard deviation. The margin of 1.6 error will be approximately.

 

Given:

Random sample of 12th-grade students = 197

Average hours spent on computer per week = 23.5 hours

Therefore,

Total hours spent by 12th grade students  = [tex]\bold{(197 \times23.5=4629.5)hours}[/tex]  

Standard deviation = 8.7 hours (Given)

Confidence Interval =99% (Given)

 

Square root of  random sample size =  = 14.04

[tex]\bold{\dfrac{Standard\: deviation}{Square\: root\: of\: sample\: size} =\dfrac{8.7}{14.04 } = 0.6196}[/tex]

 

Therefore,

Z value at 99% confidence = 2.58

Margin of error = [tex]0.6196 \times2.58[/tex]  

                          = 1.59857 error

                          = 1.6 error

Thus, the correct option is (c) 1.6 error.

For further details, please refer this link:

https://brainly.com/question/13905583

Solve four ninths minus four tenths equals blank.

Help Me ASAP

Answers

The answer is 2/45.......

Answer:

4/9

Step-by-step explanation:

When you divide 7.7 by 700, how many decimal places will the quotient have?

Answers

The answer would be 0.011 so there would be three decimal places

find the quotient: –18 ÷ 6

Answers

Answer:

=3

Step-by-step explanation:

Simply, you need to find which number times 6 will give you -18, the answer is 3.

I hope this helps!

Answer:

-3 is the answer

Step-by-step explanation:6*3 =18 and there is already a positive number which is 6 so the negative must be three

-4 2/7 divided by 1 1/3 =

Answers

Answer: hmm..... –3 3/14

Step-by-step explanation:

valor de x de (5x-20) 85

Answers

Answer/valor de x is x=21

Greg spent 6.4 hours working with his dad one Saturday. If his dad paid him$45.76, how much did Greg make per hour?

Answers

Answer:

$7.15

Step-by-step explanation:

The best way to solve this is by crossing out the data you don't need so you're left looking at the key pieces to put the equation together. If his dad paid him $45.76 for 6.4 hours, then all you need to do is divide 45.76 by 6.4. (Hint: Use a calculator, it makes it ten times faster than trying to write it out!)

45.76 ÷ 6.4 = 7.15

So Greg made $7.15 an hour working with his dad.

Factor the expression 42a+14b using the gcf
Please figure this out quickly

Answers

If you are trying to factor it is 14(3a+b).

But if you are looking for the greatest common factor it is 14.

The GCF of  42a + 14b is 14 which is 14(3a + b).

What is GCF?

GCF stands for the greatest common factor of two or more two given terms. A number is GCF of two or more than two terms is the highest term that divides the given terms completely.

Given,  42a + 14b and we have to factor this with a GCF.

In terms of variables a and b, there is no common factor.

In terms of 14 and 42 GCF is 14 as 14 is the highest no. that divides these two nos. completely.

So, 42a + 14b.

= 14(3a + b).

learn more about GCF here :

https://brainly.com/question/11444998

#SPJ2

Seven and nine thousands in decimal form

Answers

7.009 for sure

Jdjdnfnfjf

E
Find the equation of the line that is perpendicular to the given line and passes through the given point.
Enter the right side of the equation as a single fraction.
y =
5x - 3
-;(1,1)
4
The equation is y =

Answers

Answer:

y=(5x-3)/4

y=(5/4)x-3/4

Perpendicular slops come from reversing the numerator and denominator and making it negative so the new slope would be:

m=-4/5

Then you use point slope formula and plug in your values:

y-y1=m(x-x1)

y-1=-4/5(x-1)

y=(-4/5)x+9/5

Hope this helps you, have a night day/night.

Answer:

I don't know

Step-by-step explanation:

You make me brainest I have will answer

1 whole number 11/17-19/17 find the l.c.m​

Answers

The answer fam is......... 8/17

Suppose that 8 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all 8 are black? The probability is (Round to six decimal places as needed.)​

Answers

Answer:

0.0020760077

Step-by-step explanation:

The probability of drawing the first black card is 26/52 because there are 26 of them in a deck of 52.

The probability of drawing the second black card is 25/51 because there are 25 of them in a deck of 51.

The probability of drawing the third black card is 24/50 because there are 24 of them in a deck of 50.

And so on and so forth, now we just have to multiply the 8 fractions together:

26/52*25/51*24/50*23/49*22/48*21/47*20/46*19/45=

[tex]\frac{26}{52} *\frac{25}{51} *\frac{24}{50}* \frac{23}{49} *\frac{22}{48} *\frac{21}{47} * \frac{20}{46} * \frac{19}{45}[/tex]= 0.0020760077

Find the value of d such that the system of equations 15x + 10y=-11 and -9x+DT=-19

Answers

Answer:

1. 15x + 10y=-11

15x + 10y + 11=-11 + 11

15x + 10y + 11 = 0

2. -9x + DT = 19

-9x = 19 - DT

x = 19/9 + 1/9DT

x = 19/9 + 1/9DT, D∈ℝ, T∈ℝ

which is the equation of this best line of fit?

Answers

Answer:

D) y = 5x + 25

Step-by-step explanation:

the line of fit is defined by y = mx + b where:

m = the slope of the line (the rate of change)

b = the y-intercept (where it crosses the y-axis)

We see that for every 1 unit the graph moves horizontally... it moves 5 units vertically, thus we are given m = 5

If you look at the y-axis... we can determine that the graph crosses the y-axis at (0, 25), thus we are given b = 25

Therefore, the answer is y = 5x + 25

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