If A and B are independent events and P (A) and P(B) are both greater than 1/2 then P(A and B) is Greater than 1.
Answers
Answer:
Step-by-step explanation:
no
as
P(A∩B)=P(A)×P(B)
and P(A)>1/2
also
P(A)≤1
similarly P(B)>1/2
and
P(B)≤1
P(A)×P(B)≤1
so P(A and B) not greater than 1
Related Questions
A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 9.5 ft by 5.5 ft by 9 ft. The container is entirely full. If, on average, its contents weigh 0.99 pounds per cubic foot, and, on average, the contents are worth $4.37 per pound, find the value of the container’s contents. Round your answer to the nearest cent.
Answers
step 1
Find out the volume of the rectangular container
\(V=L\cdot W\cdot H\)Substitute given values
\(\begin{gathered} V=9.5\cdot5.5\cdot9 \\ V=470.25\text{ ft3} \end{gathered}\)step 2
Find out the weight of the container
Multiply the volume by the density of 0.99 pounds per cubic foot
0.99*470.25=465.5475 pounds
step 3
Multiply the weight by the factor of $4.37 per pound
so
4.37*465.5475=$2,034.44
therefore
The answer is $2,034.44if a bag of rice cost #120,how many kilograms of rice can one buy for #40
Answers
Complete Question:
If a 100kg bag of rice cost #120, how many kilogram of rice can one buy for #40
Answer:
33 kilograms.
Step-by-step explanation:
Given the following data;
100 kg of rice = #120
1 kg of rice = #x
Cross-multiplying, we have;
100x = 120
x = 120/100
x = 1.2
Now, to find how much #40 can buy;
\( Quantity = \frac {Cost}{Cost \; of \; a \; bag} \)
Substituting into the equation, we have;
\( Quantity = \frac {40}{1.2} \)
Quantity of rice = 33.33 ≈ 33 kilograms.
Method II
100 kg of rice = #120
x kg of rice = #40
Cross-multiplying, we have;
120x = 40 * 100
x = 4000/120
x = 33.33 ≈ 33 kilograms.
There's another silence as Steve looks toward the crowd and then toward Tommy. He wears a tight grin.
STEVE
Based on the clues in this passage, what will most likely happen next?
• The neighbors will stop doubting Tommy.
Well, I guess what we'd better do then is to run a check on the neighborhood and see which ones of us are really human.
• The neighbors will stop taking Steve seriously.
• The neighbors will continue to joke about the situation.
There's laughter at this, but it's a laughter that comes
from a desperate attempt to lighten the atmosphere. It's a • The neighbors will begin checking to see who is release kind of laugh.
really human.
36. GROUP SHOT - THE PEOPLE 36.
As they look at one another in the middle of their laughter.
-The Monsters Are Due on Maple Street,
Rod Serling
Answers
Answer:
5
Step-by-step explanation:
The following box plot represents the average heights of the students in Mrs. Hill's sixth grade math class.
Which of the following statements can you determine from the graph?
The student heights were measured in centimeters.
The graph represents the average heights of the girls in Mrs. Hill's class.
The student heights were measured in inches.
The graph represents the average heights of the boys in Mrs. Hill's class.
Answers
Answer:
the graph represents the average heights of the girls in mrs.hills class.
Step-by-step explanation:
Simplify expressions
Show and explain how to simplify 4x+2y+9x
Answers
Answer: Hope that helps!
=13x+2y
Step-by-step explanation:
Combine Like Terms:
=4x+2y+9x
=(4x+9x)+(2y)
=13x+2y
Values of f(t) are given in the following table.
t 0 2 4 6 8 10
f(t) 132 129 120 109 94 77
a. Does this function appear to have a positive or negative first derivative? Second derivative?
The function appears to have a _____ first derivative, and a ____ second derivative.
b. Estimate f'(2) and f'(8) . Use difference quotients to the right.
f'(2) = ____
f'(8) = ____
Answers
The estimated values of f'(2) and f'(8) are -4.5 and -8.5, respectively.
What is function?In programming, a function is a self-contained block of code that performs a specific task or set of tasks. It is a reusable piece of code that can be called multiple times from different parts of a program. Functions typically take inputs, called arguments or parameters, and produce outputs, which can be returned to the calling code.
Given by the question.
a.
To determine whether the function has a positive or negative first derivative, we can examine the change in values of f(t) between adjacent values of t. Since the values of f(t) decrease as t increases, the function appears to have a negative first derivative.
To determine the second derivative, we can examine the change in the first derivative. Since the first derivative is negative, it is decreasing as t increases, suggesting a negative second derivative.
Therefore, the function appears to have a negative first derivative and a negative second derivative.
b.
To estimate f'(2) and f'(8) using difference quotients to the right, we can use the following formula:
f'(t) ≈ [f (t + h) - f(t)] / h
where h is a small positive value. To estimate f'(2), we can use h = 2:
f'(2) ≈ [f (4) - f (2)] / 2 = (120 - 129) / 2 = -4.5
To estimate f'(8), we can use h = 2:
f'(8) ≈ [f (10) - f (8)] / 2 = (77 - 94) / 2 = -8.5
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If f(x) = 3x^2 - x, find f(-2)
Answers
Answer:
14
Step-by-step explanation:
Substitute x for -2
3(-2)^2 - (-2)
3(4) +2
12+2=14
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
Answers
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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The last customer of the day calls telling you they purchased 183 meters of fencing to fence in a circular area around their flagpole. They want to know how much area of concrete they'd need to buy to cover the entire circular pad around the flagpole. Using their fence as the circumference calculate how much area they will need to cover with the concrete for their circular pad.
Answers
GIVEN 183 IS DIAMETER,RADIUS=DIAMETER/2,SO R=91.5
\(\text{CIRCUMFERANCE}=2\Pi R\)\(C=2\ast3.14\cdot91.5=575meters\)Right triangle FGH has midsegments of 15,36, and 39 centimeters given that area of a triangle is represented by the formula A=1/2bh determine the area of triangle FGH
A.180cm2
B.1080cm2
C.1170cm2
D.2160cm2
Answers
Answer:
Step-by-step explanation:
according to the midsegment theorem, a midsegment of a triangle is parallel to a side of a triangle and its length is 1/2 length of the side.
1/2FG= 15, SO FG=30,
1/2 GH=36 SO GH=72
AREA = 1/2(72*30)=1080 CM^2
Answer:
1/2(72*30)=1080 CM^2
Step-by-step explanation:
don't rember how i got it, just remeber having this question on my work.
Use the number line to add the fraction
-2/5 + 1/2
Answers
Answer:
=1/10
Step-by-step explanation:
shelby traveled 50 miles to her friends house every weekend until she found a shortcut now she travels 46 miles what is the percent of change
Answers
Answer:
8% decrease
Step-by-step explanation:
50 x 2 = 100
46 x 2 = 92
100 - 92 = 8
Let f(t) be the sales of a gaming product, in thousands of units, after t months.
Answers
The sales after 5 months is 36,000 units (since f(t) is given in thousands of units).
The given function f(t) represents the sales of a gaming product in thousands of units after t months. To find the sales after 5 months, we need to substitute t = 5 in the function f(t) and evaluate the expression. f(5) = 5(5) + 11
= 25 + 11
= 36
Therefore, the sales of the gaming product after 5 months is 36 thousand units. This means that the company has sold 36 thousand units of the gaming product within the first 5 months since the launch of the product. It also indicates that the sales are increasing by 5 thousand units every month.
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-- The given question is incomplete, the complete question is
"Let f(t) be the sale of a gaming product in thousand of units after t months f(t)=5t+11. Find the sales after 5 months."
Please answer this correctly without making mistakes
Answers
1127 x 2 = 2254
1 x 2 = 2
so that’s 2,254 cups & 2 fl. ounces
since 8 fl. oz. make a cup, and we only have 2, the answer stays as it is
2,254 cups & 2 fl. ounces
if 12 sec A +.5 cos A =13 prive that tan A= 12÷5
Answers
Answer:
To prove that tan A = 12/5, we can use the identity that relates the sine and cosine of an angle to its tangent:
tan A = sin A / cos A
We are given that 0.5 * cos A = 13, so cos A = 26.
Substituting this value into the identity above, we get:
tan A = sin A / 26
We are also given that 12 sec A = 13, so sec A = 13/12 = 1.083333.
The reciprocal of sec A is cosec A, so cosec A = 1/1.083333 = 0.9230769.
The sine of an angle is the reciprocal of the cosecant of the angle, so sin A = 1/0.9230769 = 1.083333.
Substituting this value into the identity tan A = sin A / cos A, we get:
tan A = 1.083333 / 26 = 12/5
Therefore, tan A = 12/5.
Question 6(Multiple Choice Worth 1 points)
(02.02 MC)
Given the function f(x) = -5x² + 2x + 9, find f(1) and f(2). Choose the statement that is true concerning these two values.
O The value of f(1) cannot be compared to the value of f(2).
O The value of f(2) is larger than the value of f(1).
O The value of f(2) is smaller than the value of f(1).
O The value of f(1) is the same as the value of f(2). help
Answers
Answer:
O The value of f(2) is smaller than the value of f(1).
Step-by-step explanation:
First, let's solve for both. When the problem says f(1) or f(2), this just means that the x value is equal to that. So:
f(1) = -5(1)^2 + 2(1) + 9 = 6
f(2) = -5(2)^2 + 2(2) + 9 = -7
Since f(1) = 6 and f(2) = -7, we know that f(1) is greater than f(2). Therefore, the value of f(2) is smaller than the value of f(1)
The figure below is a net for a right rectangular prism.
11 m
13 m
11 m
7 m
11 m
11 m
What is the surface area of the right rectangular prism, in square meters?
Answers
The surface area of the right rectangular prism is given as follows:
358 m².
How to obtain the surface area?The surface area of a prism is obtained with the sum of the areas of each part of the prism.
The parts that compose the prism are given as follows:
Two rectangles of dimensions 7 ft and 12 ft.Two rectangles of dimensions 5 ft and 12 ft.Two rectangles of dimensions 5 ft and 7 ft.The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.
Hence the surface area of the prism is calculated as follows:
S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².
(multiplication by two due to the two rectangles with each of the dimensions).
Missing InformationThe prism is given by the image shown at the end of the answer.
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Find the antiderivative of f (x) = 10x4 + 12.5.
Answers
Answer:
The anti-derivative of f(x) will be:
\(\int \:10x^4+12.5dx=2x^5+12.5x+C\)
Step-by-step explanation:
Given the function
\(\:f\left(x\right)=10x^4\:+\:12.5\)
Taking the anti-derivative of f(x)
\(\int \left(10x^4\:+\:12.5\right)\:dx\:\)
\(\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\)
\(\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx\)
Solving
\(\int 10x^4dx\)
\(\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\)
\(=10\cdot \int \:x^4dx\)
\(\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1\)
\(=2x^5\)
similarly,
\(\int 12.5dx\)
\(\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax\)
\(=12.5x\)
so substituting these values
\(\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx\)
\(=2x^5+12.5x\)
\(=2x^5+12.5x+C\) ∵ Add constant to the solution
Therefore, the anti-derivative of f(x) will be:
\(\int \:10x^4+12.5dx=2x^5+12.5x+C\)
Paul’s dog weighs 12 pounds more that Issac’s dog. Together they weigh 50 pounds. How much does Issac dog weigh ???
Answers
Answer:
Issac's dog weighs 19 pounds
Step-by-step explanation:
Let x be Issac's dog's weight
Translate the problem into an algebraic expression: x + (x + 12) = 50Simplify: 2x + 12 = 50Subtract 12 from each side, so it now looks like this: 2x = 38Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 19I hope this helps!
A wall map of the United States has a distance of 8.5 in. between Memphis and Denver, two cities that are actually 1040 mi apart. The actual distance between St. Louis and Des Moines is 333 mi. How far apart are St. Louis and Des Moines on the map?
Answers
Answer:
2.72 inches
Step-by-step explanation:
1040/8.5=122.35
1 inch on the map = 122.35 miles actual distance
333/122.35=2.72
The spinner below shows 5 equally sized slices. Mal spun the dial 1000 times and got the following results.
Outcome White Grey Black
Number of Spins 389 406 205
Fill in the table below. Round your answers to the nearest thousandth.
Answers
The experimental probability that the next spin falls in a black region is given as follows:
0.205 = 20.5%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:
p = 205/1000
p = 0.205.
p = 20.5%.
Missing InformationThe problem asks for the experimental probability that the next spin falls in a black region.
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It costs James $4 to make an order of a dozen cookies. If he sells them for $20, what percentage is each order of cookies marked up?
HELP ASAP THANK YOU SO MUCH
A) 20%
B) 80%
C) 400%
D) 500%
Answers
Answer:
Step-by-step explanation:] Answer would be 400%
New value - Original Cost
Original value
= 20 - 4/4
= 16/4
= 4 x 100
= 400%
Select all of the following tables which represent y as a function of x
.
Answers
The ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
Linear functionsA set of ordered equation represents a linear function if the domain of the coordinates are not repeated.
For instance, the ordered pairs that is a function are the coordinates that do not have any repeated y-coordinates.
From the given linear functions, the ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
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Find the slope of the line. Describe how one variable changes in relation to the other. A. 2; distance increases by 2 miles per hour B. 2; distance decreases by 2 miles per hour C. 1/2; distance increases by 1 mile every 2 hours D. 1/2; distance decreases by 1 mile every 2 hours
Answers
The line's slope is \(\frac{1}{2}\) and the distance increases by 1 mile every 2 hours.
What is a good example of a line's slope?
The proportion of the increase in the y-value to the increase in the x-value may also be used to determine slope. For instance: We can get the slope of a line given two locations, P = (0, -1) & Q = (4,1) on the line.
A. Since the line's slope is 2, it follows that the y-variable, which is most likely distance, grows by 2 units for every increment in the x-variable, which is most likely time. The accurate statement is thus: speed is increased by Two miles per hour.
B. Since the line's slope is 2, it follows that the y-variable will drop by 2 units for every unit rise in the x-variable, which is most likely time. The accurate description is thus: speed drops by Two miles per hour.
C. If the line's slope is 1/2, the y-variable will rise by 1/2 unit for every increment in the x-variable, which is probably time. The precise description is that the distance grows by a mile every two hours.
D. If indeed the line's slope is 1/2, the y-variable will drop by 1/2 unit for every unit rise in the x-variable, which is probably time. The precise description is: distance shrinks by a mile every two hours.
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I worked for 12 hours each day for 6 days then the next day I worked 9 hours how many did I work in all
Answers
Answer:
81
Step-by-step explanation:
12(6) + 9
72 + 9
81......
Answer:
81.
Step-by-step explanation:
(12 x 6) + 9 = 81
12 x 6 = 72
72 + 9 - 81
riangle NMO is drawn with vertices N(−5, 2), M(−2, 1), O(−3 , 3). Determine the image vertices of N′M′O′ if the preimage is reflected over x = −2.
N′(5, −2), M′(2, 1), O′(3, 3)
N′(−2, 2), M′(1, 1), O′(0, 3)
N′(1, 2), M′(−2, 1), O′(−1, 3)
N′(−5, −2), M′(−2, −1), O′(−3, −3)
Answers
The vertices after transformation are N′(1, 2), M′(−2, 1), O′(−1, 3).
We have,
N(−5, 2), M(−2, 1), O(−3 , 3).
We know the rule to reflect over a vertical line x =a is
(x, y) --> (-x-2a, y)
So, for x=2 the rule will be
(x, y) --> (-x-4, y)
Now, the vertices after transformation are
M(-2, 1) -> M'(-2, 1)
N(-5, 2) -> N'(1, 2)
O(-3, 3) -> O'(-1, 3)
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Find the equation of the linear function represented by the table below in slope-
intercept form.
Answers
Answer:
y=2x+6
Step-by-step explanation:
Answer the question with an algebraic expression.
The perimeter of a square is m meters. How long, in centimeters, is each side of the square?
Answers
The length of the square in centimetres in algebraic expression is 25m
How to find the side length of a square?The perimeter of a square is m meters.
The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:
Therefore,
perimeter of a square = 4l
where
l = side lengthTherefore,
m = 4l
where
m = perimeter of the squarel = m / 4 meters.
Therefore, the side length of the square in centimetres is as follows:
1 meters = 100 cm
m / 4 meters = ?
cross multiply
length of the square in meters = m / 4 × 100
length of the square in meters = 100m / 4
length of the square in meters = 25m
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What is 3 and 4/5÷2/5 in the simplest form
Answers
Answer:
The answer is 19/2.
Step-by-step explanation:
Alternatives are 9 1/2 and 9.5.
Brainliest? Thanks!
Answer:
3 and 2/5
Step-by-step explanation:
because when it says divide it means take away and the denominator is the same so it stays the same
I put a random subject but can u please help with this question
Answers
Answer:
Parasitism
Step-by-step explanation: