Answer:
a) 0.71
b) 0.06
Step-by-step explanation:
We solve using Baye's Theorem
It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
We have Two events
A and B
Events A = 88% of senior citizens suffer from sleep disorders
P(A) = 0.88
Event B = 7% suffer from anxiety
P(B) = 0.07
Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
P(A and B) = 0.05
a)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.
This is calculated as:
P(A and B)/P(B)
= 0.05/0.07
= 0.7142857143
Approximately = 0.71
B) Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.
This is calculated as:
P(A and B)/P(A)
= 0.05/0.88
= 0.0568181818
Approximately = 0.06
Jeff sells popcorn for $3 per bag. To make a profit each day, he needs to sell at least $120 worth of popcorn. He has sold $36 worth of popcorn today. Which inequality can be used to find the number of bags of popcorn, p, Jeff still needs to sell today to make a profit?
Answer:
The inequality tha can be used to find how many more bags of popcorn Jeff still needs to sell today to make a profit is
x - 12 ≥ 40.
Step-by-step explanation:
Let us represent the number of bags of popcorn as p
Jeff sells popcorn for $3 per bag. To make a profit each day, he needs to sell at least $120 worth of popcorn.
We have the equation:
$3 × p ≥ $120
3p ≥ $120
p ≥ 120/3
p ≥ 40 bags
He must sell at least 40 bags to make a profit
He has sold $36 worth of popcorn today.
1 bag is $3
Hence, he has sold
$36/$3 = 12 bags of popcorn
Which inequality can be used to find Jeff still needs to sell today to make a profit?
This equality is given as:
x - 12 bags ≥ 40 bags
x - 12 ≥ 40
x ≥40 - 12
x ≥ 28 bags
She still need to sell 28 more bags of popcorn.
Are there any rules when solving compound inequalities?
Answer:
Yes bro
Step-by-step explanation:
To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.
A local Latin restaurant specializes in Peruvian, Cuban, and Tex-Mex cuisines in their recipes. Lomo Saltado, “Beef Stir-fry,” is considered a family meal. The restaurant uses the following function to determine the total cost for customers who choose to have the Lomo Saltado meals delivered, where x represents the number of Lomo Saltado meals purchased. C(x) = 12.09x + 5 What does 12.09 represent in terms of the cost?
Answer:
The cost per meal not including the $5
Step-by-step explanation:
or whatever is says something like that
Answer:
55
Step-by-step explanation:
its eay you just
True or False. (1 point) Is the expression 5x − 2(2x − 4) is equivalent to the expression 8 − x?
Answer:
No it wouldn't, x+8
Step-by-step explanation:
5x-2(2x-4):distributive property
5x-4x+8:combining like terms
x+8:being everything down
Answer:
False
Step-by-step explanation:
5x-2(2x-4): foil
= [tex]10x^{2} -20x-4x+8\\[/tex]
=[tex]10x^{2} -24x+8\neq 8-x[/tex]
whats 500000 x 700=
heyyyyy
Answer:
PERIOD
Step-by-step explanation:
At Best Buy, you buy a 55-inch TV for $499.99. You include the 2-year protection plan for $69.99. Tax in Indiana is 7%. How much tax will you pay? What is your final price?
Answer:
$609.8786
Step-by-step explanation:
Given that :
Cost of TV = $499.99
Protection plan = $69.99
Sales tax = 7%
Sales tax to pay :
Tax % * ( total cost of purchase)
0.07 * (499.99 + 69.99)
0.07 * 569.98
= $39.8986
Total price:
Cost of TV + cost of protection plan + sales tax
499.99 + 69.99 + 39.8986
= $609.8786
Find the X and Y intercepts and graph the line. Your X and Y must be written as a point. show work plz asap help
Answer:
14 X+2y=6
0+2y=6
2y=6
2y÷2=6÷2
y=3
x+2y=6
x+2(0)=6
x+0=6
X=6
(13) The x and y intercept of the line x + y = 1 are 1 and 1 respectively.
(14) The x and y intercept of the line x + 2y = 6 are 6 and 3 respectively.
What is the slope intercept form of an equation ?When any equation is represented in the y = mx +c form, it is called the slope intercept from of the equation.
Here m is slope and c is constant.
(13)
The given equation of line,
x + y = 1
x intercept of the line is at y = 0,
x + 0 = 1
x = 1
y intercept of the line is at x = 0,
0 + y = 1
y = 1
The x and y intercept of the line x + y = 1 are 1 and 1 respectively.
(14)
The given equation of line,
x + 2y = 6
x intercept of the line is at y = 0,
x + 0 = 6
x = 6
y intercept of the line is at x = 0,
0 + 2y = 6
y = 3
The x and y intercept of the line x + 2y = 6 are 6 and 3 respectively.
To know more about Slope intercept form :
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Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters tall and the ramp is 158 centimeters long
Given :
Height of the ramp, h = 83 cm.
Length of ramp, L = 158 cm.
To Find :
Length of the base of the ramp.
Solution :
Let length of the base is l.
By Pythagoras theorem :
L² = h² + l²
[tex]l=\sqrt{L^2-h^2}\\\\l=\sqrt{158^2-83^2}\\\\l=134.44\ cm[/tex]
Therefore, length of the base is 134.44 cm.
Hence, this is the required solution.
I REALLY NEED HELP PLEASEEE
A shark is swimming 60 feet below the surface of
the ocean. There is a fish that is 25 feet deeper
in the water. Use the expression (-60) + (-25) to
describe the fish’s location relative to the surface
of the ocean
Answer:
- 85 ft
Step-by-step explanation:
-60 - (-25) =-85
12) Write an equation for a line with a slope of 4 and a y-intercept of -3. Us
no spaces in your equation.
Answer:
Y=-3x+4
Step-by-step explanation:
Plug it into the y=mx+b formula.
Which expression is equivalent to ( 2x^4 y )^3 ?
A. 2x^7 y^4
B. 2x^12 y^3
C. 8x^7 y^4
D. 8x^12 y^3
Awnser B is already ruled out
Answer:
The answer is D.
Step-by-step explanation:
hope that helps
(2x⁴y)³
=8x¹²y³
if p (x) =30(x+4)+26 what is the value of p(-8)
Which of the following statements about a plane is not true
What do the symbols on the lines between LM and MN mean?
This is the best I can do since you provided no picture
Somebody answer this for me
your right its that one
Answer:
its d and e
Step-by-step explanation:
27. Is the following relation a function?
D YES
NO
28.
28. Using the previous graph, what is the domain of this relation?
A. [-2,4]
B. (-00,00)
C. (-5,1]
D. [0,00)
Answer:
No
Step-by-step explanation:
27 No
28.A
you are to read it maximum and minimum point on the vertical axis
Teresa bought 8 packages of paper. Each package contained 10 pads of paper, and each pad of paper cost $2. How many pads of paper did Teresa buy? How much did Teresa spend?
A.
80 pads of paper; $160
B.
18 pads of paper; $20
C.
18 pads of paper; $36
D.
80 pads of paper; $36
1 / 10
Which sequences are arithmetic? Check all that apply.
0, 8, 16, 24, ellipsis
7, 12, 17, 22, ellipsis
6, 12, 24, 48, ellipsis
8, 14, 20, 26, ellipsis
11, 18, 23, 30, ellipsis
12, 17, 22, 29, ellipsis
15, 30, 60, 120, ellipsis
Answer:
7,12,17,22, ellipsis
amandas piggy bank contains 96 coins made up of nickels and quarters. how many nickels and quarters does she have in the piggy bank if the worth of all the coins is $12.00?
Answer:
36 quarters and 60 nickels
Step-by-step explanation:
36*25=900
60*5=300
300+900=1200
If triangle XYZ is congruent to triangle RST find RS
Answer:
If two triangles Δ RST and Δ XYZ are similar, then corresponding angles are equal and their corresponding sides are proportional.
So here ∠R=∠X, ∠S=∠T and ∠T=∠Z
whats the nearest thousandth of 2.8151
Answer:
To round off a number to the nearest 1000, check the hundredth digit of the number. Round off the number to the previous thousand if the hundredth digit is 0, 1, 2, 3 and 4. Round off the number to the next thousand if the thousandth digit is 5, 6, 7, 8 and 9. Examples: Consider the numbers 6567 and 6281.
Oscar is offered jobs at two different dog-walking companies. At company A he would earn $50 a day, plus $6 for each dog walk. At Company B, he would earn $20 a day, plus $9 for each dog walk. How many dogs would Oscar have to walk to earn the same amount at both companies in a day? How much would he earn for walking that number of dogs? *
Answer:
he should walk 4 dogs in order to earn same amount
Ada bought 90 feet of for $20.70. She needs 30 more feet. If the unit price is the same, how much will she pay for the extra 30 feet of ?
Answer:
Step-by-step explanation:
20.70/90= 0.23 per foot
30*.23= 6.90
It'll cost $6.90 for 30 more feet.
A car travels at a distance of 450 miles in 9 hours. Part a A) what is the average speed of the car.Part b if the car continues at this rate how far will it travel in 5 hours .part c if the car continues at the rate how long will it take to travel 1000 miles
Out of 200 people eating at a diner, 70% ordered
sandwiches. How many people ordered
sandwiches?
Answer:
140 people
Step-by-step explanation:
The number is 140 people. 140 people ordered sandwiches.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Out of 200 people eating at a diner,
70% ordered sandwiches.
To find the number of sandwiches ordered:
Use percentage formula,
let n be the number of sandwiches ordered.
So, n = 70 x 200 / 100
n = 14000/100
n = 140
Therefore, 140 people ordered sandwiches.
To learn more about the percentage;
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The Chen family bought a small business. The equation yˆ=4.2x−12.9 models the business's cash value, in thousands of dollars, x years after they bought the business.
Which statement best explains what the y-intercept of the equation means?
After the Chen family bought the business, the business lost $12,900 in 4.2 months.
The business was $12,900 in debt when the Chen family bought it.
The Chen family paid $12,900 for the business.
The business lost $12,900 every year after the Chen family bought it.
Answer:hey I was wondering if you ever got the answer for this ?
Step-by-step explanation:
Answer:
After the Chen family bought the business, the business lost $12,900 in 4.2 months.
Step-by-step explanation:
just did it :)
Divide 2 3/4 divided by 3
Answer:
11/12
Step-by-step explanation:
Convert to improper fractions : 2 3/4 = 11/4
Divide denominator by 3: 11/4 ÷ 3 = 11/12
pls answer asap
thx................
Answer:
3. 1mL
Step-by-step explanation:
There are 1000mL in a Liter so if you divide a liter in 1000 parts one part is 1mL
Please answer, I’m struggling allot
Answer: -3
Step-by-step explanation:
y2-y1/x2-x1
(1,0)
(0,3)
3-0/0-1 = -3/1
what the best why to slove for x or y is it by mutilplying or divide
Answer:
based on the problem, if you are trying to get x or y by itself to solve, you need to subtract everything except your x or y (whatever one your solving for) and then if needed divide the number infront of your x or y (whatever your solving for) to both sides
Step-by-step explanation: