Answer:
What can be said about the model are;
1) The company predicts 4 failures before success
2) Each trial is independent
3) The probability is the same for each trial
4) Success is defined as preventing the disease
Step-by-step explanation:
The probability of success for the vaccine, p = 0.2
Therefore, the probability that the vaccine is effective and prevents the disease = 0.2
A geometric distribution probability of success is given by the following formula;
P(X = x) = p × q⁽ˣ⁻¹⁾
The expected value, E(Y) = 1/p
The number of failures before success, E(Y) = (1 - p)/p = (1 - 0.2)/0.2 = 4
Where;
q = The probability of a trial failing = 1 - p = 1 - 0.2 = 0.8
q = 1 - p
∴ The e
The geometric model criteria are;
a) Each trial can only have one of two outcomes success or failure
b) The probability of success for each trial is fixed
c) The geometric distribution is concerned with finding how many trials are required to get one success
d) The trials are independent
Therefore, we have;
The number of failures the company predicts before a success = 4 failures
2) The trials are independent
3) Each trial has an equal probability
4) Success is defined by the effectiveness of the vaccine in the prevention of the disease
I will give brainiest
Answer:
B. {1, -4}
Step-by-step explanation:
Just rotate the screen and look at the position.
The population of Springville was 3543 when Oliver was born.
If the population increases at a rate of 2.7% per year, which equation could be used to determine when the population will be 4125, where x
is the number of years after Oliver was born?
A-3543 = 4125(0.027)*
B. 3543 = 4125(1.027)
O C. 4125 = 3543(0.027)"
D. 4125 = 3543(1.027)*
Ben makes only tables and chairs at his wood-making shop.
• Ben is not able to make more than 500 pieces of furniture per month.
• Ben needs to make more chairs than tables.
Ben needs to make at least 25 tables and 100 chairs each month.
Let x represent the number of tables and y the number of chairs they make per month.
Please help
What is the maximum number of chairs and tables Ben can make in a month.
Answer:
Maximum number of tables he can make per month = 100 tables
Maximum number of chairs he can make per month = 400 chairs
Step-by-step explanation:
He is not able to make more than 500 pieces of furniture per month
Also, he needs to make at least 25 tables and at least 100 chairs each month.
x is number of tables and y is number of chairs per month.
Thus, inequality to represent this is;
x + y ≤ 500
Constraints are;
x ≥ 25
y ≥ 100
Since minimum is 25 tables and 100 chairs, we say that 1 table would need 100/25 = 4 chairs
Thus, ratio of tables to chairs should always be 1:4
Thus,
Maximum number of tables per month = 1/5 × 500 = 100 tables
Maximum number of chairs per month = 4/5 × 500 = 400 chairs
Suppose a charity received a donation of 15.2 million. If this represents 34% of the charity's donated funds, what is the total amount of its donated funds?
Round your answer to the nearest million dollars.
Answer:
45 million
Step-by-step explanation:
Let [tex]x[/tex] be the total amount of its donated funds. We can set up the following equation:
[tex]0.34x=15.2\:[\text{million}][/tex]
Solving for [tex]x[/tex], we get:
[tex]x=\frac{15.2\:[\text{million}]}{0.34},\\x=44.7\:\text{million}\approx \boxed{45\:\text{million}}[/tex]
Answer:
45 million dollars (44.706...)
Step-by-step explanation:
15.2 ÷ 0.34 = 44.706
To check our answer:
44.706 × 0.34 = 15.2
Parallelogram CDEF is formed inside of rectangle AEBC to create triangle ADC and triangle EBF as shown in the model below.
How much greater is the area of parallelogram CDEF than the area of triangle EBF in square centimeters?
The areas of the parallelogram CDEF and triangle EBF can be calculated
from which the difference between the areas can be found.
Response:
The amount by which the area of parallelogram CDEF is greater than the area of triangle BF is C. 493.5 cm².Which methods can be used to evaluate the areas of the regular shapes?Area of the parallelogram CDEF = CF × EB
Which gives;
Area of the parallelogram CDEF, A = 29 cm × 21 cm = 609 cm²
Area of triangle EBF = [tex]\mathbf{\frac{1}{2}}[/tex] × BF × EB
Which gives;
Area of triangle EBF, [tex]A_{EBF}[/tex] = [tex]\frac{1}{2}[/tex] × 11 cm × 21 cm = 115.5 cm²
The difference in area, ΔA = A - [tex]\mathbf{A_{EBF}}[/tex]
Which gives;
ΔA = 609 cm² - 115.5 cm² = 493.5 cm²
The area of parallelogram CDEF is 493.5 cm² greater than the area of triangle BFThe correct option is C. 493.5 cm²Learn more about the area of regular shapes here:
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The bottom of the tree is 14 feet away from the house. The tree is 25 feet long. How tall is the house?
Answer:20.7 ft
Step-by-step explanation:
Find the perimeter of the figure.
Answer:
13 inches
Step-by-step explanation:
3 sides of the small square are on the outside, then add 5 and 3 and (3-1)* to get 13
* you subtract 1 from 3 because you counted the 1 unit when calculating the perimeter of the small square
2.
HNUB
The water flow rate of a regular shower head is 3.5 gallons per minute. At
this rate, it would cost $1.90 for the water used for a 10-minute shower.
What is the cost, rounded to the nearest cent, of 1 gallon of water?
Answer: 5 cents
Step-by-step explanation:
Given
Flow rate of water is [tex]3.5\ gal/min[/tex]
At this rate it cots [tex]\$1.90[/tex] for 10 minutes
Volume that flown in this time
[tex]\Rightarrow V=3.5\times 10\\\Rightarrow V=35\ \text{Gallons}[/tex]
So, [tex]\$1.90[/tex] is charged for 35 gallons of water
Using unitary method, 1 gallon costs
[tex]\Rightarrow 1\ \text{gallon}=\dfrac{1.9}{35}\\\\\Rightarrow 1\ \text{gallon}=\$0.0542\ \text{or}\ 5.4\ \text{cents}\\\text{Round off to nearest cent}\\\Rightarrow 1\ \text{gallon}=5\ \text{cents}[/tex]
Find the value of x. (Type an integer or decimal.)
Answer:
70
Step-by-step explanation:
An angle formed by 2 tangent lines is equal to one half the measure of the major arc minus the measure of the minor arc.
we are given the minor arc ( 110 ) however we are not given the major arc.
Because circles make a 360 degree rotation we can find the major arc by subtracting the measure of the minor arc from 360
Thus, major arc = 360 - 110 = 250
Now that we have identified the major and minor arc we can find x
Recall that x = 1/2 ( major arc - minor arc )
Thus, x = 1/2 ( 250 - 110 )
250 - 110 = 140
140 / 2 = 70
Hence, x = 70
What is the value of x?
O 14
15
ООО
16
110
110
17
700
Answer:
⏩14°
Step-by-step explanation:
As we can see the opposite sides are equal and the opposite angles are equal so it is a parallelogram. Hence
5x = 70° { opposite angles of a parallelogram are equal }
x = 14°
Hope it will help :)⏩❤
The value of x in the given figure is 14, Option A is correct.
We need to find the value of x in the given figure.
The opposite angles in the given figure are equal.
So when we equate both the angles we get an equation
5x=70
Divide both sides by 5
x=70/5
x=14
To learn more on Equation:
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#SPJ7
click on the picture to see my question please and thanks
Use the terms free fall, gravitational acceleration, air resistance and
terminal velocity to explain:
1. why whether a wing suit pilot is in free fall or not, and
2. how a parachute allows him/her to land on the ground safely.
Write a few sentences here:
Answer:
1. A wingsuit pilot is not in freefall.
2. The parachute increases air resistance, decreasing the pilot's acceleration, thus decreasing terminal velocity and allowing the pilot to land safely.
Step-by-step explanation:
1. An object is in freefall when the only force acting on it is the force of gravity. An object does not necessarily need to moving at a certain speed to be in freefall. Because the wingsuit pilot's wingsuit creates a heavy amount of air resistance, the force of gravity is not the only force acting on the object. Therefore, the object is not in freefall.
2. By increasing the surface area or cross-section perpendicular to the force of gravity, the parachute creates a heavy amount of air resistance. Since air resistance acts opposite in direction to the force of gravity, the pilot will have a lower terminal velocity and will reach the ground at a dramatically lower speed, thus allowing them to land safely.
Triangle A is the pre-image, and triangle B is the image. Find the scale factor for this dilation if the center of dilation is at (0,0)
Answer:
The scale factor is 3
Step-by-step explanation:
6/2=3 (one of the triangles sides)
Question 1.)
Calculate the probability that the couple conceived a girl and the test predicts a girl.
Question 2.)
Calculate the probability that the couple conceived a girl and the test predicts a boy.
Question 3.)
Calculate the probability that the couple conceived a boy and the test predicts a girl.
Question 4.)
Calculate the probability that the couple conceived a boy and the test predicts a boy.
Question 5.)
Calculate the probability that the couple conceived a girl before the test was taken. (Hint: add the probability you found for question 1 and 2, divide by the sum of all probabilities.)
Answer:
Answer 1: 0.05*0.85=0.0425
Answer 2: 0.05*0.15=0.0075
Answer 3: 0.95*0.15=0.1425
Answer 4: 0.95*0.85=0.8075
Answer 5: [tex]\frac{0.0425+0.0075}{0.0425+0.0075+0.1425+0.8075}=\frac{0.05}{1} =0.05=5%[/tex]
The probability that the couple conceived a girl and the test predicts a girl is 0.0425
What is Probability?This refers to the branch of mathematics that has to do with the calculation of how probable an event is to occur.
Calculations and Parameters:To find the probability that the couple conceived a girl and the test predicts a girl is 0.05*0.85= 0.0425
The other answers are:
0.05*0.15=0.00750.95*0.15=0.14250.95*0.85=0.80750.05/1= 0.05= 5Read more about probability here:
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ifa = 2 and b = 3, which is the value of 4a3b2, O A. 100 OB. 144 OC. 288 D. 4608 E. 31104
Answer:
144
Step-by-step explanation:
The simplified equation would be 4x2x3x3x2 and that put into a calculator is 144
Rectangle ABCD is reflected over the x axis to form rectangle A^ prime B^ prime C^ prime I)^ prime ' What is the length of side
Answer:if it’s a and d then 2 units other side too is 2 units
Step-by-step explanation: commen sense
hour how much does davon charge per hour for a skateboard rental HELPP I BEG
Answer:
$7
Davon charges $7 per hour of rental
There are 65 children in the sixth grade.
The ratio of boys to girls is 6 to 7.
How many girls are in the class?
FAST RESPONSE PLEASE!!!
Answer:
25 girls
Step-by-step explanation:
The Timber Valley Times recorded the number of newspaper deliveries on each route.
Newspaper deliveries
40
50
60
70
80
90
What was the upper quartile of the number of newspaper deliveries?
deliveries
The Timber Valley Times recorded the number of newspaper deliveries on each route.
Newspaper deliveries
40
50
60
70
80
90
What was the upper quartile of the number of newspaper deliveries?
deliveries.
answer:60
How do you use slope to find the second point for a whole number slope?
Answer:
you use a linear equation.
Step-by-step explanation:
y=mx+b is a linear equation, b equals the y intercept (the point at which the slope touches the y line at x=0), and m equals the slope.
All you have to do is plug in your values for the equation to work.
In a class full of men and women,
2
5
of the class are women. What is the ratio of men to women in its simplest form?
Find the measures of the numbered angles in each rhombus
Answer:
angle 1 is 120
and I think angle 2 and 3 are 60
Jordan can solve 12 math problems in 3 minutes. How long will it take him to solve 45 problems?
Answer:
11 1/4 minutes or 11 min, 15 sec
Step-by-step explanation:
12/3 = 45/t
cross-multiply:
12t = 135
t = 11 1/4
Answer:
you will get 11.25
Step-by-step explanation:
12, 3 minutes
1,3 divide by 12
45,0.25 multiply 45
A=120mins
B=20mins
C=40mins
D=80mins
Answer:
D. 80mins
Step-by-step explanation:
2) Poe Tayto wants to
know how long it will take an investment of $1,000
to earn $500 in interest if the yearly interest rate is 4.75%. Please answer fast and show work I will mark you as brain
Answer:
It will take 8.73 years.
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $1,000
Future value (FV)= $1,500
Interest rate (i)= 4.75% compounded annually
To calculate the time required for the initial investment to reach the objective, we need to use the following formula:
n= ln(FV/PV) / ln(1+i)
n= ln(1,500/1,000) / (1.0475)
n= 8.73
It will take 8.73 years.
The graph contains a system of equations. What two equations are represented in this system? Select all that apply.
A y=-x-6
B y=2x-3
C y=-1/2x -3
D y= x-3
Answer:
what the. ok ok fine here Choose something close to (1.8,2.6)
Choice A
Step-by-step explanation:
Without the graph provided, I would prefer to do this algebraically.
y=2x-1
y=-1/4x+3
Since both are solved for y, I'm going to replace the first y with what the second y equals.
-1/4x+3=2x-1
I don't really like to deal with fractions quite yet so I'm going to multiply both sides by 4.
-1x+12=8x-4
I'm going to add 1x on both sides.
12=9x-4
I'm going to add 4 on both sides.
16=9x
I'm going to divide both sides by 9
16/9=x
This is the same as saying x=16/9.
Now to find y, just choose one of the equations and replace x with 16/9.
y=2x-1
y=2(16/9)-1
y=32/9-1
y=32/9-9/9
y=(32-9)/9
y=23/9
So the exact solution is (16/9,23/9).
Round these numbers to the nearest tenths you get:
(1.8, 2.6) .
To get this I just typed into my calculator 16 divided by 9 and 23 divided by 9
16 divided by 9 gave me 1.777777777777777777777777777
23 divided by 9 gave me 2.5555555555555555555555555
So choose something close to (1.8, 2.6).
So your ordered pair (1.75,2.5) is pretty close to that so choice A.
Which angles are alternate interior angles?
Answer:
∠JKH and ∠IHK
Step-by-step explanation:
∠JKH and ∠LHK are a linear pair
∠JKH and ∠IHK are supplementary
∠JKH and ∠IHK are same-side interior angles
What is the y-intercept of the line y=4x-3?
How do I solve this?
13x + 3x + 2x = 180°
=> 18x = 180°
=> x = 180°/18
=> x = 10°
Ec is a diameter solve for x well i really dont know
Playing with toy alphabet blocks, Dani mixes four of the ABCDE blocks into some combination (doesn't care about the order.) Then she takes the XYZ blocks and carefully puts these into a specific order. How many different outcomes are possible for this arrangement of seven blocks?
Answer:
The total outcomes that are possible for this arrangement of seven blocks are 5C4 * 4! * 3!
Step-by-step explanation:
Given
Out of five blocks i.e ABCDE, four blocks need to be drawn.
Hence the possible ways of drawing four blocks out of total set of 5 blocks is
5C4
Now, the total number of ways of arranging these selected four blocks is 4!
The total number of ways of arranging three blocks is 3!
Hence, the total outcomes that are possible for this arrangement of seven blocks are 5C4 * 4! * 3!