Answer:
There is approximately 4% chance that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20.
Step-by-step explanation:
The random variable X can be defined as the number of subscribers of a cable television company who watch the shopping channel at least once a week.
X follows a Binomial distribution with parameters n = 100 and p = 0.20.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:
[tex]np=100\times 0.20=20>10\\\\n(1-p)=100\times 0.80=80>10[/tex]
Thus, a Normal approximation to binomial can be applied.
[tex]\hat p\sim N(p,\frac{p(1-p)}{n})[/tex]
Compute the approximate probability that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20 as follows:
[tex]P(\hat p>0.27)=P(\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}>\frac{0.27-0.20}{\sqrt{\frac{0.20(1-0.20}{100}}})[/tex]
[tex]=P(Z>1.75)\\=1-P(Z<1.75)\\=1-0.95994\\=0.04006\\\approx 0.04[/tex]
Thus, there is approximately 4% chance that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20.
a/dc = b
solve for a
Answer: a=bdc
Step-by-step explanation:
Multiple dc with b to get a alone
Answer:
a = bd/c
Step-by-step explanation:
one last question please
Answer:
B
y = -4x
Step-by-step explanation:
PLZ mark brainliest
Sally's class went to the zoo. Out of the 24 students at the zoo, 5/8 wanted to see the penguin exhibit. How many students wanted to see the exhibit?
Answer:
15 kids wanted to see the penguins
Step-by-step explanation:
get the denominator to 24 by multiplying the top and bottom by 3. (3×5=15)
Can someone please help, ty!!
Answer:
32
Step-by-step explanation:
slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (32 - 14) / 0 - (-6)
= 18 / 6
= 3
y-intercept, use any point to determine b, let's use (2, 38) :
y = mx + b
38 = 3(2) + b
38 = 6 + b
b = 32
Which statements are true? Mark all that apply.
A
The distance between -3 and 5 on a number line is 2.
B
The distance between 7 and -2 on a number line is 9.
C
The distance between -4 and 12 on a number line is 8.
D
The distance between 10 and -3 on a number line is 13.
Answer:
A and D
Step-by-step explanation:
What is the distance between points (-2, 7) and (4, -3) on a coordinate plane?
Work this problem
9.215 -627
Answer:
−617.785
Step-by-step explanation:
If the modulus is 4 and the real part is –2.0, what is the imaginary part?
Answer:
3.5
Step-by-step explanation:
edgenuity2020
Answer:
B 3.5
Step-by-step explanation:
What is the solution set for the inequality 3(5- x)<5x-17
Answer:
The answer is : x>4
Step-by-step explanation:
3(5-x)<5x-17
15-3x<5x-17
-3x-5x<-17-15
-(3x+5x)<-(17+15)
3x+5x>17+15
8x>32
x>[tex]\frac{32}{8}[/tex]
x>4
How do you solve (4x+9)(2x-4)?
Answer:
8x^2+2x-36
Step-by-step explanation:
Use foil method
Answer:
10x-36
Step-by-step explanation:
so you are going to use the distributive property.
What is solution to 3/5=z/10
Janelle graphed a line through (−6, 5) that had a slope of −79. What is the y-coordinate of a point on the line that has an x-coordinate of 3?
(will give brainliest if right)
A. −3
B. −2
C. 2
D. 3
Answer:
-3
Step-by-step explanation:
If 2m−6=8m
then 3m=?
Answer:
-3
Step-by-step explanation:
so you you divide 2 into 6 and you know that 6 is already negative so you just put the negative sign by the three hope this answer ya question.
I need help i will give the brainliest!
Answer:
1)-6a+-48
2)4+36x
3)-30n+18
4)18m+20
5)32-24n
6)-8b-32
7)5-35n
8)-6x+-24
9)15m-30
10)24p+-28
11)5b-5
12)5x+45
Step-by-step explanation:
Distributive property, Hope this helps!
The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to break even.
Answer:
Step-by-step explanation:
We are not given the Revenue and the Cost function but we can assume the folloeing functions for the purpose of the question.
Let R(x) = 300x-2x²
C(x) = 5000+4x
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = 300-2x - (5000+4x)
Expand
P(x) = 300-2x-5000 - 4x
Rearrange:
P(x) = -2x+300-4x - 5000
P(x) = -6x- 4700
The profit function is P(x) = -6x-4700
For the company to break even, R(x) = C(x)
300-2x = 5000+4x
300-5000 = 4x+2x
6x = -4700
x = -4700/6
x = -783 units
Note that the functions are assumed. Use this concept to solve your real question
If the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.
Here, We can assume revenue and expenses.
Let R(x) = 300x - 2x²
C(x) = 5000 + 4x
How do you calculate revenue profit?It is the difference between the total revenue and the total expenses.
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = 300-2x - (5000+4x)
Expand
P(x) = 300-2x-5000 - 4x
P(x) = -2x + 300 - 4x - 5000
P(x) = -6x- 4700
The profit function is P(x) = -6x-4700
For the company to break even, R(x) = C(x)
300-2x = 5000+4x
300-5000 = 4x+2x
6x = -4700
x = -4700/6
x = -783 units
Therefore, we can calculate the profit function and break-even for the company of any value, if the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.
Learn more about revenue profit here:
https://brainly.com/question/13128315
Find the value of x
Answer:
We know that the area of a triangle is:
1/2 * base * height
We are given:
base = x + 6
height = x
area = 108 m^2
Applying the formula:
Area = 1/2 * base * height
108 = 1/2 * x * (x + 6)
x² + 6x = 216
x² + 6x - 216 = 0
x² + 18x - 12x -216 = 0 (Splitting the middle term)
x(x + 18) - 12(x + 18) = 0
(x + 18) (x - 12) = 0
Hence, we have 2 possible values for x: -18 or 12
Since taking x as -18 will result in the length of sides of this triangle to be negative, -18 is NOT the value of x
Therefore, x = 12
Jim has 3 apples. Mary takes 2. How many apples does Jim have now? PLZ HELP THIS IS IN MY HIGH SCHOOL MATHBOOK AND I DONT KNOW THE ANSWER.
Answer:
1
Step-by-step explanation:
3-2=1
Answer:
Jim has 3
Mary takes 2
Remaining apple=3-2 =1
thus, Jim has 1 apple jeft
What is the slope of the line that passes through the pair of points of (1,7),(6,0)
Answer: -7/5
Step-by-step explanation:
Use the slope formula. Change in y divided by the change in x
(0-7)/(6-1) = -7/5
Brainliest would be appreciated
Are the ratios 9:7 and 2:1 equivalent?
Answer:
no they are not
Step-by-step explanation:
9:7 / 2:1 = 4.61904762
Answer:
9:7 and 2:1 should not be equivalent.
Step-by-step explanation:
Ratios are similar to fractions, if the ratios, 9:7 and 2:1 are to be put into fraction form, they would not equal the same thing.
9:7 = [tex]\frac{9}{7}[/tex]
2:1 = [tex]\frac{2}{1}[/tex] = 2
As shown above, they do not equal the same thing, this also goes for their decimal form and so on.
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:I’m pretty sure it would be two tenths
Step-by-step explanation:
I haven’t done it in a while so I’m not sure
What is an equation in standard form of the line that has x-intercept 1 and y-intercept 4?
Answer:
4x +y = 4
Step-by-step explanation:
The intercept form of the equation for a line is ...
x/x-intercept +y/y-intercept = 1
For the given intercepts, this is ...
x/1 +y/4 = 1
Multiplying by 4 gives the standard-form equation:
4x +y = 4
Ms. Lee's monthly bank statement shows an ending balance of $ 1 , 254.78 . She had one outstanding deposit of $ 352.21 and there was one outstanding check for $ 125.39 . Which of the following should the balance be in her checkbook register?
Kalib rented a car for 5 days while on vacation in Miami. His total bill was $279. How much
the rental car cost him each day?
Answer:
he would pay 55.8 dollars each day for 5 days
Step-by-step explanation:
if x = 8 and y = -3
Pam walks 7/8 of a mile to school. Paul walks 1/2 of a mile to school. How much farther does Pam walk than Paul?
Answer:
Pam walks 3/8 of a mile more than Paul.
Step-by-step explanation:
Can anyone help me on this pleaseeeee
Answer:
I believe it's B.
Step-by-step explanation:
You're going 5 units right on the X-axis, and -2 units down on the Y-axis.
Ray is 18 years older than his sister Gloria in 15 years he will be twice as old as Gloria how old are each of them now
Answer:
Gloria is 3 years old and Ray is 21
Step-by-step explanation:
3+15=18
21+15=36
36÷18= 2
Which means he would be 2times older
Hope this helps..
Question 2/3 A swimming pool holds 18,000 gallons of water. A pool
company can drain the water in a pool at a rate of 60 gallons per minute. 300
gallons have already been drained. How long will it take to drain the remaining
water in the pool?
Answer:
296 minutes
Step-by-step explanation:
18,000 - 300 = 17,700.
17,700 ÷ 60 = 296.
It will take 296 minutes to drain the whole pool.
The rational number 5 3/7 is equal to
is equal to
Answer:
38/7 is = to 5 3/7
Step-by-step explanation:
In five years, Angela will be the age that Khalil is now. In three years, Khalil will be twice as old as Angela. How old is each now?
Answer:
so how you would wNt to go about this is we dont know tge ages so youd use variables
Answer:
Khalil is 7 years old. Angela is 2 years old.
Step-by-step explanation:
I hope this helps