Suppose that in a large metropolitan area, 84% of all households have cable tv. Suppose you are interested in selecting a group of six households from this area. Let X be the number of households in a group of six households from this area that have cable tv. For what proportion of groups will at most three of the households have cable tv?
Answer:
0.05606
Step-by-step explanation:
This is a binomial probability distribution problem.
84% of all households have cable TV, thus;
p = 0.84
There are six households from this area, thus; n = 6
Formula for this binomial distribution is;
P(X) = C(n, x) × p^(x) × (1 - p)^(n - x)
We want to find the proportion of groups where at most three of the households have cable TV.
Thus, it's is;
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
P(X = 0) = C(6, 0) × 0.84^(0) × (1 - 0.84)^(6 - 0) = 0.00001678
P(X = 1) = C(6, 1) × 0.84^(1) × (1 - 0.84)^(6 - 1) = 0.000528
P(X = 2) = C(6, 2) × 0.84^(2) × (1 - 0.84)^(6 - 2) = 0.006963
P(X = 3) = C(6, 3) × 0.84^(3) × (1 - 0.84)^(6 - 3) = 0.04855
Thus;
P(X ≤ 3) = 0.00001678 + 0.000528 + 0.006963 + 0.04855 = 0.05606
The length of a rectangle is 3 centimeters less than five times its width. Its area is 14 square centimeters. Find the dimensions of the rectangle.
Find the Width and the Length
W=
L=
Answer:
The length of rectangle is 7 cm and width is 2 cm.
Step-by-step explanation:
Given that:
Area of rectangle = 14 square centimeters
The length of a rectangle is 3 centimeters less than five times its width.
Let,
L be the length and W be the width of the rectangle.
L = 5W - 3
Area of rectangle = Length * Width
14 = (5W-3)*W
[tex]14=5W^2-3W\\5W^2-3W-14=0[/tex]
Factorizing the equation;
[tex]5W^2-10W+7W-14=0\\5W(W-2)+7(W-2)=0\\(5W+7)(W-2)=0[/tex]
Either,
5W+7 = 0
5W = -7
W = -7/5
Or,
W-2 = 0
W=2
As width of rectangle cannot be negative, therefore,
Width = 2 centimeters
Length = 5(2) -3 = 10-3 = 7
Hence,
The length of rectangle is 7 cm and width is 2 cm.
A recipe calls for 3 cups of water for every 4 cups of flour.
What is the unit rate of water to flour, written as a decimal?
2(n+4)=8-6(n-4) Whoever answers with the correct answer first I will mark brainlest Plz I need the answer for my test
h(t) = -16t2 + 160t + 384 rewrite in factored form
h(t) = -16t^2 + 160t + 384 Rewritten in factored form is 16(−t−2)(t−12).
Iliana was part of a group that was working on changing 0.ModifyingAbove 4 with bar to a fraction. Each member of the group had a different answer. Which answer is correct?
Two-fifths
StartFraction 4 Over 10 EndFraction
StartFraction 4 Over 9 EndFraction
StartFraction 9 Over 4 EndFraction
Answer: 4/9
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
edge 2021
What is the probability of an event that is impossible?
Answer:
Step-by-step explanation:
0% because the event is impossible
Amari was paid $12 an hour and received $600 at the end of the season as a bonus. Maria was paid $14 an hour, but only received a $300 bonus. If both of them worked the same number of hours, x, which of the following equations would represent how many hours they would have needed to work in order to get paid the same at the end of the season?
A) 12x + 600 = 14x + 300
B) 14x + 600 = 12x + 300
C) 12x = $900
D) 600x + 12 = 300x + 14
Answer:
A) 12x + 600 = 14x + 300
Step-by-step explanation:
B doesn't make sense, as it matches up Amari's bonus with Maria's pay, and C does not make sense as the simplified equation is not 12x = $900.
12x + 600 = 14+ 300
300 = 2x
x = 150
Answer:
A
Step-by-step explanation:
what is the math question 2/5+?=7/10
helppppp meeeeeeeee
Answer:
9
Step-by-step explanation:
Let g (2) = 22 – 5 and h (2) = 22 +1.
Find (g+h) (2)
Answer:
23 + 17 = 40 :)
HELP ASAP!!! Question: Write 20 pounds for $4 as a unit rate.
Answer:
20 pounds divided by 4
Step-by-step explanation:
Can someone help me with this please
Answer:
teal, red, purple are the correct answers
While on vacation in Europe, you go shopping and buy a large LEGO set that weighs 4 pounds. The post office only shows shipping rates in kilograms. About what mass is the LEGO set in kilograms?
Answer:
,,,,,
Step-by-step explanation:
To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds. Create a diagram to represent the quantities of each ingredient in this recipe.
A line intersects the points
(-4, 5) and (-6, 3).
Write an equation in point-slope form
using the point (-4, 5).
y- [?]=l(«-)
Answer:
y -y1 = m(x-x1) (this is point slope form)
find the slope using the equation (y2-y1)/(x2-x1) (plug in the points)
(-4,5) is point 1 and (-6,3) is point 2
(3-5)/(-6-(-4))
-2/ -2
1 (this is the slope)
and then plug in all the things you know
y - 5 = 1 ( x - ( -4))
Step-by-step explanation:
Please teach me how to do this?
Answer:
there where two toy cars that are longer then 8 inch
Zelda rode her bike at a steady rate of 12 miles per hour for 3
Answer:
36miles
Step-by-step explanation:
Given parameters:
Rate = 12mph
Time = 3hr
Unknown:
Distance = ?
Solution:
The given rate amount is the speed. Speed is the distance divided by the time.
It is mathematically expressed as:
Speed = [tex]\frac{distance}{time}[/tex]
Distance = Speed x time
Distance = 12 x 3 = 36miles
how many rectangles from 18 square boxes
Answer:
9 rectangles
Step-by-step explanation:
two squares form a rectangle.
18 ÷ 2 = 9
MOVIES Marcus is a member of a theater club. He pays a monthly fee and his movie tickets are then $5 for an unlimited number of movies that month. The graph shows the cost for each month. Find and interpret the rate of change and the initial value.
Which would describe a translation 2 unis left and one unit up
Answer:
(2, 1) or (1, 2)
Step-by-step explanation:
I not sure :3 I think its most likely (1, 2)
What is 0.6 repeating times 0.75
Answer:
0.5
Step-by-step explanation:
Enuncia 5 vectores que pertenecen a un mismo sub espacio
Answer:
what?
Step-by-step explanation:
please help me out! i’ll give you the brainliest :)
14x - 1/2 (4x + 6) = 3 (x- 4) - 18
Answer:
x = -3
Step-by-step explanation:
What is the value of x?
Answer:
x = 16
Step-by-step explanation:
(x+2) + (7x+2) + (3x) = 180
Add like terms
7x + x + 3x = 11x
2 + 2 = 4
11x + 4 = 180
Subtract 4
11x + 4 = 180
11x = 176
Divide by 11
11x = 176
x = 16
Need help because I wasn’t at school.
Answer:
you should try math
Step by step explanation:
way
Shannon spent the day at the mall. She spent $5.75 on earrings and 4 times that amount on a shirt. After shopping, she came home with $7.75 in her wallet. How much money did she take to the mall originally?
A.
$21.00
B.
$28.75
C.
$30.75
D.
$36.50
José’s mother is trying to decide whether or not she should buy a 12-ounce package of coffee on sale for $7.50. She knows that she can buy the same coffee for $9.00 per pound. Which is the better buy?
30% of $50 is equal to?
Answer:
15
Step-by-step explanation:
I NEED HELP ASAP!!!!
Answer:
Those all look correct if that's what you are asking
Step-by-step explanation:
