Set up an equation and solve for x

Answer:

37/256

Step-by-step explanation:

We need to use the Binomial distribution here, ask me why?

because there are only two outcomes of the experiment, heads or tails, which are complementary by nature, that is to say they are mutually exclusive and if one doesn't happen the other definitely does

p(head)+p(tail) = 1

also the trials are independent of one another, that is to say that the outcome of one toss doesn't affect the outcome of any of the other seven tosses out of 8.

and I am assuming here that the coins are all unbiased, i.e. p(head)=p(tail)=0.50

Considering all of these the possibility that we will get at least 6 heads out of 8 tosses is given by

p(head=6)+p(head=7)+p(head=8)= 8C6 (0.5)^6 (0.5)^2 + 8C7 (0.5)^7 (0.5)^1 + 8C8 (0.5) ^8

The plus sign indicates OR operator, i.e. we might get 6 heads or 7 heads or 8 heads.

where the probability mass function of the bin distn is given by

nCx p^x q^(n-x)

n= total number of trials

x= no. of success (in our case no of heads)

n-x = no of failures (no of tails in this example)

p= probability of success (p(heads)=0.5)

q= probability of failure (is equivalent of 1-p)

Answer:

3:12 1:4

Step-by-step explanation:

Hope this helps! (^-^)

Answer: 4 cookies per student.

Step-by-step explanation:

his is a fraction equal to

12 cookies ÷ 3 students

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 3

12 cookies ÷ 3

3 students ÷ 3

=

4 cookies

1 student

=

4 cookies

student

= 4 cookies per student

Answer:

n=-22

Step-by-step explanation:

rewrite the equation as 5(n+4) = n-8

3

now distribute the 5 through the parentheses 5n+20 = n-8

3

multiply each side by 3 5n+20=3n - 24

subrtact 3n from both sides 5n+20=3n - 24

-3n -3n

2n+20=-24

then subtract 20 from each side 2n +20=-24

-20 -20

Giving you 2n=-44 then divide both sides by 2

2n=-44 Giving you n=-22

2 2

Answer:

Total arrangement = 720

Step-by-step explanation:

Given:

Total letter n = 6

Using letter r = 5

Computation:

Total arrangement = nPr

Total arrangement = !n / !(n-r)

Total arrangement = !6 / !(6-5)

Total arrangement = 6 x 5 x 4 x 3 x 2

Total arrangement = 720

Answer:

Step-by-step explanation:

Option A. 0.296 and 0.9888 is correct because rational no are terminating and repeating ..

Answer:

x = -1/8

Step-by-step explanation:

4^2x + 3 = 1 start by simplifying the equation

16x + 3 = 1 now subtract 3 on both sides

16x = -2 isolate the variable by dividing 16 on both sides

x = -1/8

Answer:

x = -1/8

Step-by-step explanation:

4^2x + 3 = 1

You want to try to get the x on one side by itself.

First step subtract 3 from both sides

4^2x + 3 -3 = 1 -3

so now it looks like 4^2x = -2

We know 4^2 is 4x4 which is 16.

16x= -2

Divide 16 by both sides.

x = -2 / 16

Reduce.

x = -1/8

Answer:

more imformation?

Step-by-step explanation:

Answer:

1.25 miles

Step-by-step explanation:

Lisa takes a night walk after dinner every night.

She walks 1/4 mile in 2 minutes.

Distance = 1/4 mile

Time, t = 2 minutes

For covering 1 mile,

1/4 mile = 2 minutes

In 1 minute she will cover [tex]\dfrac{1}{8}\ \text{mile}[/tex]

For 10 minutes, she will cover [tex]\dfrac{10}{8}\ \text{mile}\ or\ 1.25\ \text{miles}[/tex]

So, she will cover 1.25 miles.

Answer:

51.265242 ng/gm ; 26.473257 ng/gm

Step-by-step explanation:

The standard error of the mean = standard deviation / √sample size

Given that:

mean concentration = 1,269 ng/gm

Standard deviation (s) = 145 ng/gm

Standard Error if 8 rats were measured :

Sample size (n) = 8

Standard Error = s / √n

Standard Error = 145 / √8

Standard Error = 145 / 2.8284271

Standard Error = 51.265242 ng/gm

If 30 rats were measured :

Standard Error = 145 / √30

Standard Error = 145 / 5.4772255

Standard Error = 26.473257 ng/gm

Answer:

Mass determines how fast a car can accelerate. Since a car accelerates slower with more adults, and faster with less adults, this means that the mass has a big impact on acceleration. Therefore, we can conclude that the mass determines how fast a car can accelerate.

Answer:

It will reach you at 6:30.

Step-by-step explanation:

THe storm traveled at 35 miles in half an hour. It is 105 miles away.

Divide 105 by 35 to get how many half hours it will take to rach you.

105 ÷ 35 = 3.

So, it will be 3 half hours or one hour and a half.

Add that time to the current time, which is 5:00.

It will be 6:30 when the storm reaches you.

hope this helped tell me if it is right.  

Answer:

b. Hо : μ ≥ 40.1; Ha : μ > 40.1

Step-by-step explanation:

Note: The complete options to the question is attached as picture below

The alternative hypothesis is focusing on "the recession has led to a reduction in the average work week".

So, it will be less than the past average. i.e, 40.1.. so, we will use a less than (<) sign to write the alternative hypothesis.

The hypotheses are as below:

Hо : μ ≥ 40.1 (Null hypothesis)

Ha : μ > 40.1 (Alternative hypothesis)

Answer:

3years

Step-by-step explanation:

Answer:

It will take for about 6 six years for the election for both positions be taken

Answer:

[tex](\frac{-11}{2},5)[/tex]

General Formulas and Concepts:

Pre-Alg

Alg I

Step-by-step explanation:

Step 1: Define

Point (-3, 8)

Point (-8, 2)

Step 2: Solve for midpoint

Answer:

The answer is (-5.5, 5)

Answer: future the time or a period of time following the moment of speaking or writing; time regarded as still to come.

Step-by-step explanation:

Answer:

Distribution, equal groups, skip counting, repeated addition, and array.

Step-by-step explanation:

Answer:

40 feets

Step-by-step explanation:

Given that:

Height of fence = 8 feets

Shadow of fence = 14.5 feets

Shadow of cell phone tower = 72.5 feets

Height of cell phone tower = x

Height of fence = shadow of fence

Height of tower = shadow of tower

8 feets= 14.5 feets

x feets = 72.5

Cross multiply :

(14.5 * x) = (72.5 * 8)

14.5x = 580 feets

x = 580/14.5

x = 40 feets

Hence, the height of the cell phone tower is 40 feets

Answer:

Lol I can't help im sorry

Answer:

A

Step-by-step explanation:

30 times x all the others are incorrect so by process of elimination it is a

Answer:

A

Step-by-step explanation:

Options A, B and C  are the same:

2/3 is two-thirds (that how we read the fraction in English) and is 0.66666... (a decimal is sometimes permissible)

But most common and most used is a fraction

So, the answer is A

Santiago Chile (AP)

♥plz give me brain list it would help a lot! ♥

Answer:

1. m=5

2. 2(8x+11)

3.m=7

Step-by-step explanation:

Answer:

It is so ez, it is of course 2

Step-by-step explanation:

Step-by-step explanation:

‎

Answer:

67

Step-by-step explanation:

Took a test

Answer:

I believe you would look for what x is when y is 0, but I may be wrong.

Step-by-step explanation:

[tex]121 = 11 \times 11[/tex]

1, 11 and 121

Answer:

y=2x-5

slope is 2 and y intercept is -5

Step-by-step explanation:

this is because you put y by itself and the equation becomes -2y=-4x+10. Multiply by -1 to make these positive and get 2y=4x-10. Divide both sides by 2 and make the equation y=2x-5. Hope this helps

Answer:

115

Step-by-step explanation:

Answer:

90 people

Step-by-step explanation:

So, all you have to do is put the equation as a proportional rate. First, you should subtract 55% from 100% to get you 45%, since that's the percentage of the people who didn't like it. Now, put that percentage in a fraction, so 45/100. Next to it, put the fraction x/200, since the denominator should be the total amount of people and x for the people who didn't like the movie. To solve this, you must take the numerator from 45/100 with the denominator from x/200 and multiply it, getting you 9000. Now divide this from the denominator in the fraction 45/100, getting you to 45/100 = 90/200. So x=90.

If that was confusing, just think about it like this... 200 is a multiple of 100, right? So, to get your answer you could just multiply 45/100 by 2 on both sides getting you to 90/200 = 90/200.

Hope that helps ;D