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.
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
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 the distance between points (-2, 7) and (4, -3) on a coordinate plane?
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:
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
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
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:
The rational number 5 3/7 is equal to
is equal to
Answer:
38/7 is = to 5 3/7
Step-by-step explanation:
if x = 8 and y = -3
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.
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
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.
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!
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
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
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:
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:
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?
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..
one last question please
Answer:
B
y = -4x
Step-by-step explanation:
PLZ mark brainliest
What is solution to 3/5=z/10
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:
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
Work this problem
9.215 -627
Answer:
−617.785
Step-by-step explanation:
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.
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.
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
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 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