The probability that the size of the family is 4 or more rounded to three decimal places is 0.361.
Given that families are selected at random, to find the probability that the size of family 4 we need to select and add those probabilities whose family size is more than and equal to 4.
P(X ≥ 4) = P(4) + P(5) + P(6) + P(7)
P(X ≥ 4) = 19.2 + 11.6 + 3.3 + 2.0
P(X ≥ 4) = 36.1
Since we need the answer rounded off to three decimal places, we can divide the answer by 100 which will give the final answer which is 0.361.
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What is the diameter of a circle with a circumference of 47.1 in.?
A. 7.5 in.
B. 15 in.
C. 0.75 in.
D. 1.5 in.
The required diameter of the circle is given as 15 in. Option B is correct.
Given that,
The circumference of a circle is given 47.1 in, we have to determine the diameter of the circle.
Perimeter is the measure of the figure on its circumference.
Here,
As per the given condition,
First, write the formula for the circumference of the circle,
Circumference of the circle = πD
now substitute the value in the above equation,
47.1 = 3.14 D
D = 47.1/3.14
D = 15 in
Thus, the required diameter of the circle is given as 15 in. Option B is correct.
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what was the major flaw in the stanford prison experiment? question 9 options: a) the respondents wanted to leave, but zimbardo would not let them. b) the students were not randomly assigned. c) the study went on too long. d) zimbardo did not use a control group.
Zimbardo did not use a control group. Experiments are performed to reach meaningful conclusions using the appropriate research method. The correct answer is (A).
Experiments whether they are done in natural settings or in a controlled environment need to follow certain ethics. But the Stanford Prison Experiment is an exception. In this experiment, Philip Zimbardo, the Stanford psychologist, took paid participants and asked them to be “guards” in a mock prison at Stanford University.
As soon as the experiment began, the “guards” began mistreating the “prisoners,” in order to provoke evil circumstantially. The conclusion of the study suggested innocent people, thrown into a situation where they have power over others, will begin to misuse that power. And people who are put into a situation where they are powerless will be driven to submission.
The Stanford Prison Experiment has proved to be a Fraud. Philip Zimbardo, the Stanford psychologist who did the experiment, and interviews of the participants, offers convincing evidence that the guards in the experiment were trained to be cruel. This proves that the experiment’s most memorable moment of a prisoner screaming out of rage and proclaiming, “I’m burning up inside!” was the result of the prisoner's acting skills. Many of them think of this study as more of a dramatic demonstration with no real outcomes. The Zimbardo prison experiment is a classic study that has been recently reevaluated and exposed as a fraud.
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The identification of a relationship using
multiplication and the prediction of the value of one
quantity based on the value of another.
Utilizing multiplication to find relationships and predicting that value of one "Linear regression" is a quantity derived from the value of another.
Define the term Linear regression?The relationship in between magnitude of one parameter and that of a second is modeled by simple linear regression.
For instance, as X rises, Y also increases. or Y declines as X rises. 1 Regression defines the nature of the link, whereas correlation evaluates the strength of such a linking between two variables.Simple linear regression calculates the precise amount by which Y will alter when X alters by a specific amount. The variables X and Y remain interchangeable with the correlation coefficient. Regression uses a linear relationship, or a line, to try and predict any Y variable from the X variable:Y = b 0 + b 1 X.Thus, finding correlations via multiplication and assuming that the value of one "Linear regression" is a number obtained as from value of another
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0 . 476 × 10 to the 1st power
Answer:
4.76
Step-by-step explanation:
had this on a test today!
What does x equal to??
x is equal to 125° in the triangle
How to determine the value x in the triangle?The figure given here is a triangle. And we know that the sum of the angles in a triangle is 180°. So we can apply this concept by writing the expression below:
x + 25° + 30° = 180°
x + 55° = 180°
x = 180° - 55°
x = 125°
Therefore, the value of x is 125°. So x is equal to 125°
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a market research firm conducts telephone surveys with a 44% historical response rate. what is the probability that in a new sample of 400 telephone numbers, at least 150 individuals will cooperate and respond to the questions? in other words, what is the probability that the sample proportion will be at least 150 400
The likelihood that at least 150 people will collaborate and react in a fresh sample of 400 telephone numbers is 0.9953.
Describe probability?The probability informs us of the likelihood that an event will occur. It is necessary for the likelihood to fall between 0 and 1. The likelihood of success is 1, whereas the probability of failure is 0.
Given, that the market research company has a history of having a 44% response rate for its telephone surveys.
Therefore, p=44%=0.44=μ
n=400
p=150/400
p=0.375
The standard deviation is then equal to,
σ=√(p(1-p))/n
σ=√(0.44(1-0.44))/400
σ=√(0.44×0.56)/400
σ=0.025
Using the z-table, the values are as follows:
z=(p-μ)/σ
z=(0.375-0.44)/0.025
z=-2.6
p(p>0.375)
=p(z>-2.6)
=1-p(z<-2.6)
=1-0.0047
=0.9953
=99.53%
Therefore, the likelihood that at least 150 people will participate and provide information in a new sample of 400 telephone numbers
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Which of the following expressions is equivalent to 2y (3y^2 + 4y^4)
The expression that is equivalent to the given expression is 6y³ + 8y⁵
Evaluating an expression and determining an equivalent expressionFrom the question, we are to determine the expression that is equivalent to the given expression
The given expression is
2y (3y^2 + 4y^4)
This can be properly written as
2y (3y² + 4y⁴)
Now, to determine the expression that is equivalent to this expression, we will expand the expression by applying the distributive property.
2y(3y² + 4y⁴)
2y(3y²) + 2y(4y⁴)
Multiplying
6y³ + 8y⁵
Hence,
The expression is 6y³ + 8y⁵
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Write the first four terms of the sequence defined by the explicit rule. f(n) = 3n + 6
The first four terms of the sequence would be -
9, 12, 15, 18
What is a Sequence?Number sequence is a progression or an ordered list of numbers governed by a pattern or rule. For example -
3, 6, 9, 12, 15
x, x + 2, x + 4, x + 6
We have the following sequence -
f(n) = 3n + 6
We can write the first four terms as -
f(1) = 3 x 1 + 6 = 9
f(2) = 3 x 2 + 6 = 12
f(3) = 3 x 3 + 6 = 15
f(4) = 3 x 4 + 6 = 18
Therefore, the first four terms of the sequence would be -
9, 12, 15, 18
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given the measurements; 6 cm, 10 cm, 17m. Check if three measurements can form a angle
Write an equation in slope-intercept form of the line that passes through the given points.
Equation in slope-intercept form of the line that passes through the given points is y = 2x - 1/2.
Given points:
(1, 1.5) and (2, 3.5)
slope m = 3.5 - 1.5 / 2 - 1
= 2/1
m = 2
substitute m and (1,1.5) in y = mx + c
1.5 = 2*1 + c
1.5 - 2 = c
c = -0.5
c = -1/2
y = mx + c
y = 2x - 1/2.
Therefore equation in slope-intercept form of the line that passes through the given points is y = 2x - 1/2.
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ERROR ANALYSIS Describe and correct the error in identifying congruent triangles. TUV=XYZ by the SSS Congruence Theorem.
The letters for XYZ are in the wrong order.
The correct statement should be [tex]\triangle TUV \cong \triangle ZYX[/tex]
============================================
Further Explanation:
The order of the letters matters when writing congruence statements.
The claim is that [tex]\triangle TUV \cong \triangle XYZ[/tex]
The first two letters of each are "TU" and "XY" in that order.
But notice how TU has a single tickmark, while XY has a double tickmark. The two sides are clearly different.
--------
Instead, the statement should be: [tex]\triangle TUV \cong \triangle ZYX[/tex] because of the following three facts:
TU = ZY (single tickmark)UV = YX (double tickmark)TV = ZX (triple tickmark)Notice that:
TU and ZY are the 1st two letters of TUV and ZYXUV and YX are the last two letters of TUV and ZYXTV and ZX are the 1st and 3rd letters of TUV and ZYXAfter raining for 3/4 of an hour, a rain gauge is of 2/5 the way full. If it continues to rain at the same rate for 15 more minutes, what fraction of the rain gauge will be filled?
Answer:
8/15
Step-by-step explanation:
You want the fraction of a rain gauge filled after 15 more minutes when the rain rate is 2/5 of the gauge in 3/4 of an hour.
Proportion15 minutes is 1/4 hour, so 15 more minutes brings the total time to 1 hour. The fraction (x) of the gauge that is filled will be ...
x/1 = (2/5)/(3/4)
x = (2/5)(4/3) = 8/15
After a total of 1 hour, the rain gauge will be 8/15 of the way full.
Surface area of a rectangular prism 2cm 8cm 7 cm
The surface area of the rectangular prism is 172cm^2
What is a prism?Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross sections. The faces of the prism are parallelograms or rectangles.
The surface area of prism is 2A+ pH
where A is the base area
P is the perimeter of the base
and h is the height
for a rectangular prism, the base area is 2×8=16cm^2
perimeter of a rectangle= 2(l+b)
= 2(8+2)
= 20cm
surface area =( 2× 16) + 20× 7
= 32+ 140
= 172cm^2
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A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the
function S=18.95 +0.50M, where M is the number of miles driven.
The company also offers an option to insure the car against damage. The insurance charge I (in dollars) is given by the function I=4.80 +0.15M.
Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.
An equation relating C to M is (C) = 23.75 + 0.65M.
Given,
In the question:
The standard charge S (in dollars) is given by the
function S=18.95 +0.50M, where M is the number of miles driven.
The insurance charge I (in dollars) is given by the function I=4.80 +0.15M.
and, Let C be the total charge (in dollars) for a rental that includes insurance.
To find the An equation relating C to M.
Now, According to the question:
By the topic:
The total Charge (C) = The standard Charge (S) + The insurance charge (I)
Thus,
The total Charge (C) = 18.95 +0.50M + 4.80 +0.15M.
Combine like terms:
The total Charge (C) = 18.95 + 4.80 + 0.50M + 0.15M
The total Charge (C) = 23.75 + 0.65M
Hence, An equation relating C to M is (C) = 23.75 + 0.65M.
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a comic book costs $3.99. it is marked up 45%. what is the final price of the comic book after it is marked up?
The final price of the comic book after it is marked up is $5.79.
Since we have given that
Cost of a comic book including tax = $ 3.99
According to the question, it is given that it is marked up 45%,
=3.99 × (100+45)÷100
=3.99 × 145/100
=399 × 1.45
=5.79
Hence, the final price of the comic book after it is marked up is $5.79.
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log₂ (x+5)-1og₂ (x-2)=3
Answer: x=3
Step-by-step explanation:
log₂(x+5)-log₂(x-2)=3
Domain:
x+5>0 ⇔ x>-5
x-2>0 ⇔ x>2
Hence, x>2 or x∈(2,∞)
Solution:
[tex]\displaystyle\\log_2\frac{x+5}{x-2} =3log_22\\\\log_2\frac{x+5}{x-2} =log_22^3\\\\log_2\frac{x+5}{x-2} =log_28\\\\Hence,\\\\\frac{x+5}{x-2}=8[/tex]
Multiply both parts of the equation by (x-2):
[tex]x+5=8(x-2)\\\\x+5=8x-16\\\\x+5-x=8x-16-x\\\\5=7x-16\\\\5+16=7x-16+16\\\\21=7x[/tex]
Divide both parts of the equation by 7:
[tex]3=x\\\\Thus,\ x=3[/tex]
triangle
please solve asap
a) since all the angles on the triangle are next to a given angle we just subtract the given angle from 180 to find the unknown angle
180-150=30=x
180-80=100=y
180-130=50=z
Sum of All triangles angles is always 180 degrees but we can still check
30+100+50
130+50=180
Now for the B triangle every angle is across from it like this means the triangle angle is equal to that
a= 40 degrees
b= 95 degrees
c= 45 degrees
And this also equal 180 degrees
Hopes this helps please mark brainliest
Answer:
1st Question Answer:
X=30
y=100
z=50
2nd Question Answer:
a=40
b=95
C=45
Step-by-step explanation:
1st Question : Since the angles of a straight line add up to 180 , we can subtract the degree of the angle given by 180 which gives us the answer . also we can make certain the angle is right because angles of a traingle add up to 180
2nd Question: Since the angles in the second question are parallel (which means they are the same) . we can easily find the answer . we can make sure the answer is right by using the same way ( angles of a triangle add up to 180)
< The concession stand at the baseball park sells food in value packs. The ratio in the value pack is 4 hot dogs 2 drinks: 1 bag of chips. A tape diagram representing the ratio of each item is shown. hot dogs drinks chips a. Describe what each small rectangle in the tape diagram represents b. What is the least total amount of items in a value pack? c. How many bags of chips are in a value pack if there are 10 drinks?
Answer:
someone answer please ive been waiting for 2 hours :skull:
Step-by-step explanation: please answer yall
Transformation of functions f(x)=-7(x-8)^2 +2
Answer:
Step-by-step explanation:
I think this is the answer you were looking for but im not 100% sure
Determine the value of x in the equation below.
16 - (x + 5) = 5
Answer:
x=6
Explanation:
16-(x+5)=15
open the bracket using 1 as an invisible number after the minus sign16-x+5=15You move -x to cross the equality sign and it change to + 16+5-15 =x+15 change to -15 because of the equality sign 21-15=6x=6In thi quetion, aume that the car ue the ame amount of petrol for each mile it travel. A car ue 55 litre of petrol to travel 495 mile. How much petrol would the car ue on a trip of 160 mile?
Give your anwer to the nearet litre
The car use 6.67 liters of petrol to travel 160 miles of distance.
Given, the car use the same amount of petrol for each mile it travels.
A car use 55 liters of petrol to travel 495 miles.
we have to find the petrol used to travel 160 miles.
As, 55 liters = 495 miles
495 miles = 55 liters
1 mile = 55/495 liters
Now, 160 miles = 55/495×160 liters
160 miles = 6.67 liters
So, the car use 6.67 liters of petrol to travel 160 miles of distance.
Hence, the car use 6.67 liters of petrol to travel 160 miles of distance.
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find the general terms of the sequence 4 8 12 16
Answer: The general term is an = 4n
Step-by-step explanation:
Please help with slope question
choose any 2 points on the graph
To calculate the slope use the formula:
slope = y (point 2)-y (point 1)/x (point 2)-x (point1)
substitute the choses points in
calculate your awnser
Write and Solve the equation: A printing company charges $0.15 per copy in addition to a service fee of $3. Write an equation to represent the cost, y, the company charges for x numbers of copies. How much would 250 copies cost?
The equation representing the cost is y = 0.15x + 3 where x ix the number of copies and y is total cost.
Cost for 250 copies is $40.5
What is equation?The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, a printing company charges $0.15 per copy in addition to a service fee of $3,
Therefore, according to question, the total cost y for printing x copies is,
y = 0.15x + 3
For x = 250
y = 0.15*250 + 3
y = $40.5
Hence, The equation representing the cost is y = 0.15x + 3 where x ix the number of copies and y is total cost.
Cost for 250 copies is $40.5
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Hello I just need the answers for 31 and 32 I just answered a math equation to a few minutes ago so I’d like a final answer again please I need it ASAP thank you and have a great day
The value of n is A. -1/2
The inequality that does not represent the position of 2 numbers on a number line is A. 4 1/2 > 25/4
What is number line?A number line is a horizontal representation of number parts with equal intervals
The numbers in a number line is arranged to be increasing from left to right , hence drawing a number line will have the smaller values to the left of the bigger values
n is the negative side of the line and it is half (1/2) way between 0 and -1 hence should be -1/2
for the inequality, 4 1/2 > 25/4
4 1/2 = 4.5
25/4 = 6.25
4.5 should less than 6.25, and hence do not represent the correct position of two numbers
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Camilla borrows a book from the library for dd days. The library charges a late fee of 0. 10 dollars per day that the book is late. If Camilla returns the book more than 21 days after she borrowed it, the expression 0. 10(d-21) represents the total late fee Camilla owes
The expression represents the amount of total money. Then the total late fee Camilla owes will be $2.1.
What is Algebra?
Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
Camilla borrows a book from the library for d days.
The library charges a late fee 0.10 dollars per day that the book is late.
If Camilla returns the book more than 21 days after she borrowed it.
Then the expression will be 0.10d.
The total amount is given as
Total amount = 0.10 d
Total amount = 0.10 x 21
Total amount = $2.1
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What is the total volume of both boxes if s equals 8 inches
The total volume of both cubed boxes, combined, is of:
612 cubic inches.
What is the volume of a cube?The volume of a cube of side length s is given by the side length s cubed, as shown by the formula presented as follows:
V = s³.
In this problem, the boxes are given as follows:
Cubed box with side length of s = 8 inches.Cubed box with a volume of 100 cubic inches.The volume of the box with side length 8 inches is given as follows:
V = 8³ = 512 cubic inches.
(measure is in inches, hence the cubed measure is in cubic inches).
The total volume is given by the sum of the volumes of the two boxes, hence:
Total volume = 512 cubic inches + 100 cubic inches = 612 cubic inches.
Missing InformationThe image showing the cubes is given at the end of the answer.
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A scientist uses a submarine to study ocean life.
She begins at sea level, which is an elevation of 0 feet.
She travels straight down for 68 seconds at a speed of 0.8 feet per second.
She then ascends for 11 seconds at a speed of 3.8 feet per second.
Answer:
-11.8
Step-by-step explanation:
68x0.8
11x3.8
11x3.8=41.8
68x0.8=54.4
54.4-41.8=12.6
Now minus add a minus to it and you get -12.6 FT
CAN someone help me with DIS
The area of the triangle below is 224 inches squared.
How to find the area of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
The area of a triangle an be described as follows:
area of a triangle = 1 / 2 bh
where
b = baseh = heightTherefore, the area of the triangle can be found as follows:
b = 4t = 4(4) = 16 inches
h = 7(t) = 7(4) = 28 inches
Therefore,
are of the triangle = 1 / 2 × 16 × 28
are of the triangle = 8 × 28
Therefore,
are of the triangle = 224 inches²
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Answer:
224 inches squared.
Step-by-step explanation:
have great day
William leaves work at 16:00. He drives 36 kilometres from work to home at an average speed of 48 km/h. What time does William arrive home?
answer using the 24 hour clock.
William will arrive home at 16:45, it will take 45 min to reach home.
Given, that William leaves work at 16:00
Distance from work to home is 36 kilometres
Also, he drives at an average speed of 48 km/hr
Now, using distance-speed relation to find the time
So, as we know Distance = Speed × Time
On putting the values of distance and speed, we get
36 km = 48 km/hr × Time
On dividing both the sides by 48, we get
36/48 = (48×Time)/48
36/48 = Time
Time = 0.75
Hence, he will take 0.75 hr to reach home.
0.75 hr ≈ 45 minutes
As, 1 hr = 60 minutes
0.75 hr = 0.75 × 60 = 45 minutes
So, William will arrive home at 16:45
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