Answer:
about 26.13 square yards
Step-by-step explanation:
\( \frac{1}{2} (3.14)( {3}^{2} ) + \frac{1}{2} (6)(4) = 14.13 + 12 = 26.13\)
Activity
You have also set up a card game in which a player picks a card from a standard deck of 52 cards. The player wins if these two events occur together: E1, in which the card drawn is a black card, and E2, in which the card drawn is a numbered card, 2 through 10.
Question 1
What is the probability of getting a black card and a numbered card? Calculate the probabilities P(E1) and P(E2) as fractions.
The probability of getting a black card and a numbered card is 9/26.
To calculate the probability of getting a black card (E1), we need to determine the number of black cards in a standard deck of 52 cards.
There are 26 black cards in total, which consist of 13 spades (black) and 13 clubs (black).
Therefore, the probability of drawing a black card (P(E1)) is:
P(E1) = Number of favorable outcomes / Total number of possible outcomes
P(E1) = 26 / 52
Simplifying this fraction, we get:
P(E1) = 1/2
So the probability of drawing a black card is 1/2.
To calculate the probability of drawing a numbered card (E2), we need to determine the number of numbered cards (2 through 10) in a standard deck.
Each suit (spades, hearts, diamonds, clubs) contains one card for each numbered value from 2 to 10, totaling 9 numbered cards per suit.
Therefore, the probability of drawing a numbered card (P(E2)) is:
P(E2) = Number of favorable outcomes / Total number of possible outcomes
P(E2) = 36 / 52
Simplifying this fraction, we get:
P(E2) = 9/13
So the probability of drawing a numbered card is 9/13.
To calculate the probability of both events occurring together (getting a black card and a numbered card), we multiply the individual probabilities:
P(E1 ∩ E2) = P(E1) × P(E2)
P(E1 ∩ E2) = (1/2) × (9/13)
Simplifying this fraction, we get:
P(E1 ∩ E2) = 9/26
Therefore, the probability of getting a black card and a numbered card is 9/26.
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25/5=60/12 do they form a proportion
Answer: YES
Step-by-step explanation: both equal 5 when divided.
which is not a common multiple of 4 and 9
5 I think.
Step-by-step explanation:
4. Kiberly found a box that had 27,955 yellow
paperclips, and a box that had 9,427 blue
paperclips. Which is the best estimate of the
difference of the yellow and blue paperclips?
A. 40,000
B. 19,000
C. 15,000
D. 17,000
The linear equation best estimate of the difference between the number of yellow and blue paper clips is option(b).
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables.
Number of yellow paper clips found in one box = 27955
Number of blue paper clips found in another box = 9427
We are asked to find the best estimate of the difference in the number of yellow and blue paper clips that Kimberly found.
The actual difference between the number of yellow and blue paper clips = 27955 - 9427 = 18528
An estimate of a number means the closest number that the actual number can be rounded off for simplifying calculations or understanding.
In this case, from the given options the closest number of 18528 is 19000.
Therefore option(b) is the best estimate of the difference between yellow and blue paper clips.
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please help me..........
Answer: 9, it is the average of all the middle of all the numbers
Step-by-step explanation:
Select the correct answer from each drop-down menu.
The area of the shaded square is
square inches. The length of the unshaded rectangle is
inches.
The estimated value of the length of the shaded square is
inches. The estimated value of the area of the unshaded rectangle is
square inches.
The completed statement with regards to the area of the square and the rectangle are;
The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.
What is the area of a square?The area of a square is the product of the side lengths which are congruent, therefore;
Area of a square = Side length, s × Side length, s = s²
The possible figure in the question includes;
A shaded square that is 125 square inches
An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches
Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.
Therefore;
The side length of the square = √(125) inches = 5·√5 inches
The estimated value of the side length of the square is; 5·√5 inches
The area of a rectangle = Length × Width
The length of the rectangle = 7·√5 inches
The width of the rectangle = 5·√5 inches
Therefore;
The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175
The estimated area of the unshaded rectangle is 175 square inches
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5,10,15,20,25 what is the common difference
Answer:
The common difference in the given sequence is 5.
Step-by-step explanation:
The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15
i need help again :/ ( not good at math )
Answer:
It would be 36 cm^2.
Step-by-step explanation:
I used the top rectangle that was 9 cm and subtracted the 3cm from the bottom right long rectangle. Since it equals 6cm, the area of the unshaded square is 36 cm^2. (Area of a square is side x side)
A new pet food product for small dogs has been developed to help with tooth decay. Fifty-two dogs participate in the study. Each dog owner picks a card from a standard deck out of a hat. If the card is red, their dog will be in the treatment group. If the card is black, their dog will be in the placebo group. Which experimental design was used?
a. Randomized Block Design
b. Completely Randomized Design
c. Case-Control Design
d. Matched-Pair Design
Answer: B. Completely Randomized Design
Step-by-step explanation:
A completely randomized design is an experimental design such that treatments are assigned at random completely in order for each experimental unit to have same chance of receiving treatment.
In this scenario, since all the dogs are randomly assigned treatment by picking a card without taking into consideration other factors, then we can infer that thus is a completely randomized design.
Ramona completed all 30 questions on the test. If 5/6 of the questions were correct, how many questions
did Ramona answer incorrectly?
Help taking a test.!
Answer:
If Romona Complete all 30(Don't forget to group all 30) 5/6 were correct! then you will need to subtract 30-5/6= so that would be 29 1/6 Then if you need to find the amount that would be right take the Whole number! so take 30/50 and divide and you should get your answer!
Step-by-step explanation:
i hope this helps
Brian paid $4.95 at the grocery store for bananas and apples. He bought 3 pounds of bananas at $0.59 per pound and 2 pounds of apples. How much did Brian pay per pound for the apples he bought?
Answer:
Step-by-step explanation:
Total amount = 4.95
Per pound of banana = 0.59
Total amount of banana = 0.59 x 3 = 1.77
Remaining amount = 4.95 - 1.77 = 3.18
Cost of per pound of apple = 3.18 ÷ 2 = 1.59
Answer:
Step-by-step explanation:
What is the answer for this question?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I just took an assignment on this
A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman
Answer:
The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Step-by-step explanation:
We use the Exponential distribution,
Since we are given that on average, 5 pregnant women with high blood pressure come per week,
So, average = m = 5
Now, on average, 5 people come every week, so,
5 women per week,
so, we get 1 woman per (1/5)th week,
Hence, the mean is m = 1/5 for a woman arriving
and λ = 1/m = 5 = λ
we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,
P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,
Now,
P(X>1) = 1 - P(X<1),
Now, the probability density function is,
\(f(x) = \lambda e^{-\lambda x}\)
And the cumulative distribution function (CDF) is,
\(CDF = 1 - e^{-\lambda x}\)
Now, CDF gives the probability of an event occuring within a given time,
so, for 1 week, we have x = 1, and λ = 5, which gives,
P(X<1) = CDF,
so,
\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)
So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Consider the following proposition: For each integer a, a = 2 (mod 8) if and only if (a^2 + 4a) = 4 (mod 8).
(a) Write the proposition as the conjunction of two conditional statements.
(b) Determine if the two conditional statements in Part (a) are true or false. If a conditional statement is true, write a proof, and if it is false, provide a counterexample.
(c) Is the given proposition true or false? Explain.
This question is about to determine the conditional statement, proposition and either that is true or false.
The explanation of each part in this question is given below:
a) The given proposition can be written as the conjunction of two conditional statements as follows:
If a = 2 (mod 8), then \((a^2 + 4a) = 4 (mod 8)\).
If \((a^2 + 4a) = 4 (mod 8)\), then a = 2 (mod 8).
b) To prove the first conditional statement, assume a = 2 (mod 8). Then, there exists an integer k such that a = 8k + 2. Substituting this value of a into \((a^2 + 4a)\), we get:
\(a^2 + 4a = (8k + 2)^2 + 4(8k + 2) = 64k^2 + 36k + 8\)
Reducing this expression modulo 8, we get:
a^2 + 4a ≡ 64k^2 + 36k + 8 ≡ 0 + 4k + 0 ≡ 4 (mod 8)
Therefore, we have shown that if a = 2 (mod 8), then (a^2 + 4a) = 4 (mod 8).
To prove the second conditional statement, assume (a^2 + 4a) = 4 (mod 8). Then, there exists an integer k such that (a^2 + 4a) = 8k + 4. Substituting this value of (a^2 + 4a) into the equation a^2 + 4a - 8k = 0, we can use the quadratic formula to solve for a:
a = (-4 ± √(16 + 32k))/2 = -2 ± √(4 + 8k)
Since a is an integer, it follows that √(4 + 8k) must be an integer as well. This implies that 4 + 8k is a perfect square. The only perfect squares that are congruent to 4 (mod 8) are those of the form 8m + 4 for some integer m. Therefore, we have:
4 + 8k = 8m + 4
k = m
Substituting k = m back into the expression for a, we get:
a = -2 + √(4 + 8k) = -2 + √(8m + 4) = -2 + 2√(2m + 1)
Since a is an integer, it follows that √(2m + 1) must be an integer as well. This implies that 2m + 1 is a perfect square. The only perfect squares that are congruent to 1 (mod 8) are those of the form 8n + 1 for some integer n. Therefore, we have:
2m + 1 = 8n + 1
m = 4n
Substituting m = 4n back into the expression for a, we get:
a = -2 + 2√(2m + 1) = -2 + 2√(8n + 1) = 2(√(2n + 1) - 1)
Therefore, we have shown that if (a^2 + 4a) = 4 (mod 8), then a = 2 (mod 8).
Since both conditional statements have been proven, the given proposition is true.
(c) The given proposition is true, as shown in the proofs of the two conditional statements in part (b).
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What is the area of the object above?
Answer:
124 inches.
Step-by-step explanation:
Let first define 'Area':
Area - The total space taken up by the shape of an object.
We can cut the area of the object in the image to make it easier.
You can either cut it horizontally or vertically.
Which is shown below.
I will show both horizontally and vertically.
Starting with;
Vertically:
As we cut it knowing that;
On the left hand side, It is 11 in and since we cut the right hand side off. That side is also 11 in. Doing the same to the top and bottom side. Since we cut the tiny rectangle piece off which also means the top and bottom side are 10 in.
Since we are finding area and Area = Length × Width.
Thus,
Part A:
Area of the big one ⇒ 11 × 10 = 110
Now, we have to find the area of the small one.
Since, we cut it and as we can see the Length and Width is already there.
All we have to do is multiply them.
Part B:
Area of the small one ⇒ 2 × 7 = 14
Next, we add them both together since we cut it.
110 + 14 = 124
Hence, the area of the object is 124 in.
-------------------------------------------------------------------------------------------------------------
Horizontally:
As we cut it knowing that;
We are cutting it right through the middle.
As we look, 12 in is on the top which the bottom is also 12 in. And the side is 7 in.
Part A:
Area = Length x Width
12 × 7 = 84
Next we have the bottom rectangle.
Part B:
4 × 10 = 40
Now adding them both together :
84 + 40 = 124 in.
-------------------------------------------------------------------------------------------------------------
Hence, the area of the object is 124 in.
RevyBreeze
The manager of a football team is keeping track of the yards
gained or lost on each play of a football game. On the first
play, the team gained 4 yards. On the second play, the team
lost 33 yards. On the third play, the team gained 11 yards.
What was the position of the ball relative to its starting point
after the first three plays of the game?
Answer: -48 yd
Step-by-step explanation:
the candle was 1 inches long when new.Each half hour 3/4 inch of the candle burned away.After 4 hours,how long was the candle
A water cooler has a storage capacity of 50 litres . If each student on an average consumes 750ml of water. Then how many times cooler tank has to be filled to quench the thirst of 1200 student of school
The water cooler tank has to be filled 18 times to quench the thirst of 1200 students.
We have
Number of students= 1200
Water consumption per student= 750 ml
So, Total water consumption
= Number of students × Water consumption per student
= 1200 × 750 ml
= 900000 ml
= 900 Liter
Now, the time cooler tank has to be filled to quench the thirst
= 900 / 50
= 18 times
Thus, the water cooler tank has to be filled 18 times to quench the thirst of 1200 students.
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The scale factor and the value of x for each figure is given as follows:
A) Scale factor of 1/3, x = 7 m.
B) Scale factor 0.4747, x = 4.5 in.
How to obtain the scale factor and the value of x?For Figure A, we have that the ratio between the areas is given as follows:
510/4590 = 1/9.
As the area is measured in square units, while the side lengths are measured in units, the scale factor is the square root of 1/9, hence it is given as follows:
1/3.
Then the value of x is obtained as follows:
x = 21 x 1/3
x = 7 m.
For Figure B, we have that the ratio between the areas is given as follows:
16/71 = 0.22535.
The scale factor is then the square root of 0.22535, which is given as follows:
0.4747.
Then the value of x is given as follows:
x = 9.5 x 0.4747
x = 4.5 in.
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Find a equation of the line that passes through the points (-2,-5) and (4,25) express the final answer in slope - intercept form. PLEASE HELP IM BEING TIMED
Answer:
y=5x+5
Step-by-step explanation:
to find the slope of the line: 25-(-5)/4-(-2)=30/6=5
so the slope is 5
to find the y-intercept:
y=5x+b
25=5(4)+b (i used the point (4, 25) and plugged in 4 for x and 35 for y)
b=5
so, the equation of the line is: y=5x+5
What is the second derivative of -x^3
The second derivative of the function is -6x
What is derivative of a function?Derivative of a function f(x) signifies the rate of change of the function f(x) with respect to x at a point lying in its domain. For a function to be differentiable at any point x = a in its domain, it must be continuous at that particular point but vice-versa is necessarily not always true.
The derivative of a function f(x) is given as; d/dx(fx)
f(x) = -x³
d/dx = 3(-x)³⁻¹
d/dx = -3x²
For the second derivative, we would derivate the function the second time.
d²/dx² = d/dx(-3x²)
d²/dx² = 2 * (-3x)
d²/dx² = -6x
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Probability. Help! I'll give you Brainliest if correct as well as quite a bit of points.
A card is chosen at random from a standard deck of 52 cards, and then it is replaced and another card is chosen. What is the probability that at least one of the cards is a diamond or an ace?
Answer:
54%
Step-by-step explanation:
Because I said so and if it is wrong then give me the phone number of the person who assigned the question.
please graph! 90 points! And BRAINLIEST
Graph f(x)=3sin(12x)−5. Use 3.14 for π. Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.
The points on the graph are:
Midline point = (0,-5)Maximum point = (0.65,-2)(a) The graph of the functionThe equation of the function is given as:
\(f(x) = 3\sin(12x) - 5\)
See attachment for the graph of the function f(x)
(b) The midline pointThis is the point that is on the line that passes through the midsegment of the function.
From the graph, a point on the midline is (0,-5)
(c) The maximum pointThis is the point that is on the vertex of the function.
From the graph, a point on the midline is (5pi/24,-2)
This can be rewritten as: (0.65,-2)
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Answer:
(0,0) (1.75,3)
Step-by-step explanation:
Took the test
What is the correct answer to the formula 10<>12?
TRUE
NOT EQUAL
LESS THAN
FALSE
i need help with this
here is the picture
Composite function fog(1) = 50
Composite function gof(1) = -10
What is composition of functions?The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)).
Given functions,
f(x) = x² - 5x
g(x) = x - 6
fog(x) = f(g(x))
= f(x - 6)
= (x-6)² - 5(x - 6)
a) fog(1) = (1-6)² - 5(1 - 6)
= 25 + 25
= 50
gof(x) = g(f(x))
= g(x² - 5x)
= (x² - 5x - 6)
b) gof(1) = (1² - 5(1) - 6)
= (1 - 5 - 6)
= -10
Hence, value of composite function,
a) fog(1) = 50
b) gof(1) = -10
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Briana helps her mother make a quilt The quilt is 6 feet wide and 12 feet long
Briana and her mother will need to measure and cut the fabric for the quilt. They will need to decide on a pattern and color scheme for the quilt. They will need to sew the pieces of fabric together to create the quilt top. They will need to layer the quilt top with batting and backing fabric and then quilt the layers together. Finally, they will need to bind the edges of the quilt.
I NEED HELP!! I'll give you brainliest!! A high school wants to expand its P.E. schedule. To better understand the needs of the students, the principal looked at which forms of exercise are preferred by the 18 students in the sample group.The Venn Diagram shows this information be gathered.a. How many students preferred swimming over running or walking?b. How many students choose running or walking?c. Which students preferred swimming and walking, but not running
Answer:
a. Three students preferred swimming over running and walking.
b. Fourteen students chose running or walking.
c. Alex and Jose preferred swimming and walking, but not running.
Find the savings plan balance after 18 months with an APR of 3% and monthly payments of $200.
The saving plan balance is $3,677.53.
Given that,
The no of months is 18.The annual percentage rate is 3% so the monthly rate percentage is 0.25%.And, the monthly payment is $200.
Based on the above information, the following formula should be used:
FVA = PMT× [(1+r)^n - 1] ÷ r
= $200 × [(1+ 0.0025)^18 - 1] ÷ 0.0025
= $3,677.53
Therefore we can conclude that the saving plan balance is $3,677.53.
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Find the area of this paralelogram or shape pls easy
The area of the given parallelogram will be 6.5 square cm.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle and a parallelogram.
Given that the measure of the parallelogram is,
a = 7 cm
b = 6 cm
h = 1 cm
The area of the parallelogram is calculated by the formula given below as,
Area = (1/2) ( a + b ) x h
Area = (1/2) ( 7 + 6 ) x 1
Area = 6.5 square cm
Therefore, the parallelogram will have an area of 6.5 square cm.
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State the center point and radius of the circle. Write the equation of the circle in standard and general form.
Answer:
center: (2, -1)radius: 4standard form: (x -2)² +(y +1)² = 16general form: x² +y² -4x +2y -11 = 0Step-by-step explanation:
You want the center, radius, and equations in standard form and general form for the circle shown in the graph.
CenterThe center is the point marked. Its coordinates are ...
(x, y) = (2, -1)
RadiusThe radius is the distance from the center to any point on the circle. It is usually convenient to read the radius on a graph by considering points on the same horizontal or vertical line as the center of the circle.
Here, the circle passes through point (6, -1), so the radius is 6 -2 = 4.
The radius is 4 units.
Standard formThe standard form equation for a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
For center (2, -1) and radius 4, this is ...
(x -2)² +(y +1)² = 16 . . . . standard form equation
General formThe general form of a polynomial equation is f(x, y) = 0, with the terms listed in lexicographical order by decreasing degree. This is found from the standard form by expanding it, combining terms, and arranging them in the required order:
(x -2)² +(y +1)² = 16 . . . . . standard form
x² -4x +4 +y² +2y +1 -16 = 0 . . . . . eliminate parentheses, subtract 16
x² +y² -4x +2y -11 = 0 . . . . general form equation