In a group of 30 students, the probability that at most 25 of them lime to swim is 45% what is the probability that at least 26 of them like to swim
Answers
Its 62%
I took the test
Related Questions
Find the value of x, 6,4, 3x, 4x+1
Answers
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
Quadrilateral RSTV is dilated with the origin as the center of dilation using the rule (x,y) (3/2x, 3/2y) to create quadrilateral R'S'T'V'.
Answers
Quadrilateral R'S'T'V' is smaller than Quadrilateral RSTV because a scale factor is less then 1.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
Quadrilateral RSTV is dilated with the origin as the center of dilation using the rule (x, y) = (3/2x, 3/2y) to create quadrilateral R'S'T'V'.
Here, All the coordinates of vertex of Quadrilateral RSTV are,
R = (- 3, - 2)
S = (- 2, 3)
T = (2, 2)
V = (3, - 1)
Hence, By applying rule we get;
All the coordinates of vertex of Quadrilateral R'S'T'V' are,
R' = (- 3 × 3/2, - 2× 3/2) = (- 9/2. - 3)
S' = (- 2 × 3/2, 3 × 3/2) = (- 3, 9/2)
T' = (2 × 3/2, 2× 3/2) = (3, 3)
V' = (3 × 3/2, - 1 × 3/2) = ( 9/2. - 3/2)
Now, Distance between R and S;
RS = √ (- 3- (- 2))² + (- 2 - 3)²
= √1 + 25
= √26
And, Distance between R' and S';
R'S' = √ (- 3- (- 9/2))² + (- 3 - 9/2)²
= √(3/2)² + (15/2)²
= √9/4 + 225/4
= √234/4
Hence, The scale factor is,
⇒ RS / R'S' = √26 / (√234/4)
= 2√26/ √234
= 2/3
= 0.67 < 1
Thus, Quadrilateral R'S'T'V' is smaller than Quadrilateral RSTV because a scale factor is less then 1.
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Theprofit(indollars)earnedbysellingwappletreesisrepresentedby w2 − 4w + 14. The profit (in dollars) earned by selling w pear trees is
represented by 2w + 10. Write a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.
Answers
\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.
The profit earned by selling w pear trees is 2w + 10
To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:
\((w^2 - 4w + 14) - (2w + 10)\)
Simplifying the expression:
\(w^2 - 6w + 4\)
Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).
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Calculator What is the area of a sector with a central angle of 144° and a radius of 11 cm? Use 3.14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. cm² K
Answers
Rounding to the nearest hundredth, the area is approximately 151.976 cm².
The formula for the area of a sector is:
A = (θ/360) x πr²
where θ is the central angle in degrees, r is the radius, and π is pi (3.14).
Plugging in the given values, we get:
A = (144/360) x 3.14 x 11^2
A = 0.4 x 3.14 x 121
A = 151.976
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PLZ PLZZZZ HELP ASAP!!!!!
Explain the error: 144x2 - 100 (12x + 10)(12x - 10) 2(6x + 5)(6x - 5)
Answers
9514 1404 393
Answer:
a factor of 2 is shown, but 4 was factored out
Step-by-step explanation:
The difference of squares is factored as ...
a² -b² = (a +b)(a -b)
Then the given difference of squares factors as ...
144x² -100 = (12x)² -10² = (12x +10)(12x -10)
Each of these factors has a factor of 2 that can be factored out:
= (2(6x +5))(2(6x -5))
= (2·2)(6x +5)(6x -5)
= 4(6x +5)(6x -5)
The first factor should be 4, not 2.
Express 16 number as the product of the prime factor by the factor-tree method.
Answers
Step-by-step explanation:
2×2×2×2 = 16 its easy by using factor tree method
1) (1) The selling price (ii) The cost price (iii) Profit The marked price of an article is 15% above its selling price and the cost price is 25% less tha its marked price. Find the discount percent and gain percent.
Answers
Answer: (iii) Profit The marked price of an article is 15% above its selling price and the cost price is 25% less tha its marked price. Find the discount percent and gain percent.
Step-by-step explanation:
What is the value of x?
Enter your answer in the box.
Answers
Answer:
x=11
Step-by-step explanation:
Since the lines in the middle are parallel, we know that both sides are proportional to each other.
6:48 can be simplified to 1:8
Since we know the left side ratio is 1:8, we need to match the right side with the same ratio
We can multiply the ratio by 5 to match 5:3x+7
5:40
5:3x+7
Now we can set up the equation: 40=3x+7
Subtract 7 from both sides
3x=33
x=11
Solve the following quadratic equation by factorin
x - 12x + 35 = 0
2
x? -
The solution set is {}.
(Simplify your answer. Type each solution only
Answers
Answer:
(x - 5)(x - 7x)
Step-by-step explanation:
x - 12x + 35 = 0
x - 12x + 35 = 0
x - 5x - 7x + 35= 0
x ( x - 5) -7x(x + 5)
(x - 5)(x - 7x)
Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours how far did Simon drive in all
Answers
Answer:
415 miles
Step-by-step explanation:
Start with the speed equation:
speed = distance/time
Now solve the speed equation for distance:
distance = speed × time
Apply the speed equation solved for distance to the two parts of the trip.
4 hours at 55 mph:
distance = 55 mph × 4 hours = 220 miles
3 hours at 65 mph:
distance = 65 mph × 3 hours = 195 miles
Add the two distances to find the total distance:
total distance = 220 miles + 195 miles = 415 miles
Answer: 415 miles
Answer:
415 miles
Step-by-step explanation:
Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.
How far did he drive?
d=rt
For the first part of the trip:
d = 55 * 4 = 220 miles
For the second part of the trip:
d = 65*3 =195 miles
Add the miles together
220+195 = 415 miles
Solve for h -110=13+3(4h-6)
Answers
Answer:
H= -35/4
Decimal form: -8.75
Explanation:
Subtract 13 from both sides. { -110 - 13 =3(4h - 6) }Simplify -110 -13 to -123 { -123 = 3 (4h - 6) }Divide both sides by 3 { -123/3 = 4h - 6 }simplify 123/3 to 41 { -41 = 4h - 6 }add 6 to both sides { -41 +6 = 4h }simplify -41 + 6 to -35 { -35 = 4h }divide both sides by 4 { - 35/4 = h }switch sides { h= - 35/4 }Problem 3.4 (Video 2.5 - 2.6, Lecture Problem) You are interested in calculating the probability that your favorite 1
Game of Thrones character is eliminated in episode X. You have decided to model X as a Geometric (1/4) random variable. (a) Unfortunately, you have learned a spoiler: your favorite character does not appear in episode 4 or beyond. What is the conditional PMF P X∣B
(x) of X given the event B={X<4} ? (b) Given this spoiler, what is the probability that your favorite character is eliminated in one of the first two episodes? (c) Given this spoiler, what is the expected value of X conditioned on the event B ? (d) Let's consider yet another scenario: After watching the show for 2 episodes, you are happy to see that your favorite character has not been eliminated yet. What is the conditional PMF P X∣C
(x) of X given the event C={X>2} ? 1
Somehow, you have already managed to decide on a favorite character before watching any episodes. 2 (e) Let Y=X−2 be the number of additional episodes after the 2 nd that it takes for your favorite character to be eliminated. Using part (d), quickly determine the conditional PMF P Y∣C
(y) of Y given the event C={X>2}. Determine the family of random variables this conditional PMF belongs to, along with the associated parameter(s). (f) Using what you learned in part (e), determine the conditional mean E[X∣C].
Answers
(a) The conditional PMF P X∣B (x) of X given the event B={X<4} can be calculated using the formula
P(X=x|B) = P(X=x and B)/P(B).
Since the event B={X<4} includes the events X=1, X=2, and X=3, we can calculate P(B) as the sum of the probabilities of these events:
P(B) = P(X=1) + P(X=2) + P(X=3) = (1/4) + (3/4)(1/4) + (3/4)^2(1/4) = 13/16.
Therefore, the conditional PMF P X∣B (x) is given by:
P(X=1|B) = P(X=1 and B)/P(B) = (1/4)/(13/16) = 4/13
P(X=2|B) = P(X=2 and B)/P(B) = (3/4)(1/4)/(13/16) = 3/13
P(X=3|B) = P(X=3 and B)/P(B) = (3/4)^2(1/4)/(13/16) = 6/13
(b) The probability that your favourite character is eliminated in one of the first two episodes given the spoiler is P(X=1|B) + P(X=2|B) = 4/13 + 3/13 = 7/13.
(c) The expected value of X conditioned on the event B can be calculated using the formula E[X|B] = sum(x*P(X=x|B)) for all x in the support of X. Therefore, E[X|B] = 1*(4/13) + 2*(3/13) + 3*(6/13) = 20/13.
(d) The conditional PMF P X∣C (x) of X given the event C={X>2} can be calculated using the formula P(X=x|C) = P(X=x and C)/P(C). Since the event C={X>2} includes the events X=3, X=4, ..., we can calculate P(C) as the sum of the probabilities of these events: P(C) = P(X=3) + P(X=4) + ... = (3/4)^2(1/4) + (3/4)^3(1/4) + ... = (3/4)^2/(1-(3/4)) = 12/16. Therefore, the conditional PMF P X∣C (x) is given by:
P(X=3|C) = P(X=3 and C)/P(C) = (3/4)^2(1/4)/(12/16) = 1/3
P(X=4|C) = P(X=4 and C)/P(C) = (3/4)^3(1/4)/(12/16) = 1/4
...
(e) The conditional PMF P Y∣C (y) of Y given the event C={X>2} can be obtained by shifting the conditional PMF P X∣C (x) of X given the event C={X>2} by 2 units to the left. Therefore, P Y∣C (y) = P X∣C (y+2) for all y in support of Y. This conditional PMF belongs to the family of geometric random variables with parameter 1/4.
(f) The conditional mean E[X|C] can be calculated using the formula E[X|C] = sum(x*P(X=x|C)) for all x in the support of X. Since the conditional PMF P X∣C (x) is a geometric distribution with parameter 1/4 shifted by 2 units to the right, we can use the formula E[X|C] = 2 + 1/(1/4) = 6.
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If vec r =3 hat i -2 hat j +6 hat k , find the value of ( vec r * hat j ).( vec r * hat k )-12
Answers
Answer: We can first find the dot product of vec r with hat j and hat k:
vec r * hat j = (3 hat i - 2 hat j + 6 hat k) * (- hat j) = -2
vec r * hat k = (3 hat i - 2 hat j + 6 hat k) * hat k = 6
Substituting these values into the expression given, we get:
(vec r * hat j).(vec r * hat k) - 12 = (-2) * (6) - 12 = -24
Therefore, the value of (vec r * hat j).(vec r * hat k) - 12 is -24.
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answers
Answer:
113.04 in²
Step-by-step explanation:
Area of the square = 144 in²
so the length of side = sqrt(144) = 12 in
That is the diameter, so the radius = 12/2 = 6 in
The area of the circle = π(6)² = 113.04 in²
Jessica needs to rent a moving truck for one day. She can choose to rent a moving truck from Rentals Plus or from Speedy Move. At Rentals Plus, it costs $5.24 to rent a moving truck for one day, plus $4.46 per mile driven. At Speedy Move, it costs $85.24 to rent a moving truck for one day, plus $0.46 per mile driven. How many miles would Jessica have to drive for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move?
Answers
Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
How find how many miles would Jessica have to driveLet's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:
Cost at Rentals Plus = $5.24 + $4.46 * m
Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:
Cost at Speedy Move = $85.24 + $0.46 * m
To find the number of miles that makes the costs equal, we can set up the equation:
$5.24 + $4.46 * m = $85.24 + $0.46 * m
By rearranging the equation, we can solve for 'm':
$4.46 * m - $0.46 * m = $85.24 - $5.24
$4 * m = $80
m = $80 / $4
m = 20
Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
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Find the area of the green region in the circle to the nearest tenth
Answers
The area of the green region of the circle is 96.4 ft².
What is area?Area is the region bounded by a plane shape.
To calculate the area of the green region of the circle, we use the formula below
Formula:
A = πr²∅/360Where:
A = Area of the green regionr = Radius of the circle∅ = Angle of the sector at the center of the circleFrom the diagram,
Given:
r = 17/2 = 8.5 feet∅ = (180-27°) = 153°π = 3.14Substitute these values into equation 1
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The area of the green region in the circle given is expressed as approximately: a. 96.5 square feet.
How to Find the Area of a Sector in a Circle?The sector of a circle is calculated as:
A = ∅/360 * πr², where r is the radius and ∅ is the reference or central angle of the sector.
Given the following:
Central or reference angle (∅) = 180 - 27 = 153 degrees
Radius (r) = 17/2 = 8.5 feet
Plug in the values:
Area of the green region = 153/360 * π * 8.5²
Area of the green region ≈ 96.5 square feet.
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Suppose that y varies directly with x. Write the equation that represents this relationship if x is -7 and yis - 42 ? Find the value of y when x is 6.
Answers
Answer:
36
Step-by-step explanation:
if y varies directly as x;
y ∝ x
mathematically,
y = kx
k is the constant of proportionality;
if x = -7, y = -42
-42 = k x -7
k = 6
Now,
x = 6;
y = kx
y = 6x 6 = 36
Will mark brainlist:)
Answers
Answer:
The length of the missing side is 7 yards
Step-by-step explanation:
Simply subtract 9 from 16
16-9=7
The length of the missing side is 7 yards
Hope this helps! Plz award Brainliest : )
The answer is 7yd.
I got this answer by simply looking at the line parallel to it, which would be 16yd. I subtracted 16yd - 9yd = 7yd.
Hope this helped!
Good luck <3
The difference of two supplementary angles is 58 degrees. Find the measures of the angles.
Answers
Answer:
The measure of the angles are 61° and 119°
Step-by-step explanation:
Let the first angle = x°
let the second angle = y°
The sum of two supplementary angles = 180°
x° + y° = 180° ----- equation (1)
based on the given question; "the difference of two supplementary angles is 58 degrees."
x° - y° = 58° ------- equation (2)
from equation (2), x° = 58° + y°
Substitute the value of x into equation (1)
(58° + y°) + y° = 180°
58 + 2y = 180
2y = 180 -58
2y = 122
y = 122 / 2
y = 61°
The second angle is given by;
x° = 58° + y°
x = 58° + 61°
x = 119°
Thus, the measure of the angles are 61° and 119°
Go step by step to reduce the radical.
Square Root 200
Answers
Answer:
10 root 2
Step-by-step explanation:
root 200 = root 2 × root 100 = 10 root 2
Seventy-five 6th- grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?
Answers
25% = 75/x
To solve for x, we can cross-multiply:
0.25x = 75
Then, we can divide both sides by 0.25:
x = 300
Therefore, there are 300 6th-grade students in total.
A vacant lot is being converted into a community garden. The garden and a walkway around its perimeter have an area of 648 square feet. Find the width of the walkway if the garden measures 12 feet wide by 15 feet long.
Answers
The width cannot be negative, the width of the walkway is 6 feet. The total area of the garden and the walkway is given as 648 square feet. We know the area of the garden is length multiplied by width, which in this case is 12 feet by 15 feet, so the garden area is\(12 \times 15 = 180\) square feet.
To find the area of the walkway, we subtract the garden area from the total area. Therefore, the area of the walkway is 648 - 180 = 468 square feet.
The walkway surrounds the garden on all sides, so its length and width will be greater than the corresponding dimensions of the garden.
To calculate the width of the walkway, we can use the formula for the area of a rectangle, which is length multiplied by width. In this case, the length is 12 + 2x (twice the width of the walkway) and the width is 15 + 2x.
So, we have the equation\((12 + 2x) \times (15 + 2x) = 468\).
Expanding and rearranging the equation, we get\(4x^2 + 54x - 228 = 0.\)
Solving this quadratic equation using factoring, completing the square, or the quadratic formula, we find that x = 6 or x = -9/2.
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Find the surface area of this cuboid
Answers
Answer: 76
Step-by-step explanation:
2 times 5 is 10. There are two sides so 10 times 2 is 20.
4 times 5 is 20. There are two sides so 20 times 2 is 40.
4 times 2 is 8. There are two sides so 8 times 2 is 16.
20+40+16 is 76.
Combine these like terms:
5. 3abc⁴ and 101abc⁴
A. 104abc
B. 104abc⁴
C. 303abc⁴
D. 3abc⁸
6. Problem is in picture
7. Which is a like terms to 3a?
A. 20a
B. a³
C. 3b
D. 3ab
Answers
Answer:
3abc⁴ and 101abc⁴
A. 104abc it A
B. 104abc⁴
C. 303abc⁴
D. 3abc⁸
7. Which is a like terms to 3a?
A. 20a it D
B. a³
C. 3b
D. 3ab
What is the definition of perpendicular lines?
1.two lines that intersect in a way that forms right angles
2.two lines that intersect in a way that cuts both lines in half
3.two lines that intersect in a way that they share more than one common point
4.two lines that intersect in a way that forms two congruent angles
Answers
Answer:
Step-by-step explanation:
The correct definition of perpendicular lines is option 1: "Two lines that intersect in a way that forms right angles."
When two lines intersect to form four right angles (90-degree angles), they are said to be perpendicular to each other. The point at which the lines intersect is called the point of intersection.
Therefore, option 1 is the correct definitation of perpendicular lines.
Answer: 1. Two lines that intersect in a way that forms right angles.
Step-by-step explanation:
Hope this helped! :)
i need help with some questions
Answers
Answer:
I will try doing it
Step-by-step explanation:
which are the questions
What is 52.35 − 1.58 =
Answers
Answer: 52.35 − 1.58 = 50.77
Step-by-step explanation:
Martin is making a candy that contains 90% milk chocolate and the rest caramels. The candy has 3 pounds of caramels.
Part A: Write an equation using one variable that can be used to find the total number of pounds of milk chocolate and caramels in the candy. Define the variable used in the equation. (5 points)
Part B: How many pounds of milk chocolate are present in the candy? Show your work.
Answers
Let x be the weight of the candy in pounds, then 0.9x is the weight of the milk chocolate in pounds
The weight of the caramels in the candy is 3 pounds, so
An equation that can be used find the total number of pounds of milk chocolate and caramels in the candy is
0.9x + 3 = x ⇒ x = 30
So there are 0.9(30) = 27 pounds of milk chocolate in the candy.
hope this helps
Suki wants to pour 25 milliliters
of water, 35 milliliters of oil,
and 45 milliliters of syrup into
the same beaker for a science
experiment. The beaker holds up to 100 milliliters. Will the beaker hold all three liquids? Explain why or why not.
Answers
Therefore, the beaker will not be able to hold all three liquids, and Suki will need to adjust the amount of one or more of the liquids in order for them to fit into the beaker.
sin0= 5/13. find tan 0
Answers
Answer:
C. 5/12
Step-by-step explanation:
Finding the missing side :
Opposite side² + Adjacent side² = Hypotenuse²(5)² + Adjacent side² = (13)²Adjacent side² = 169 - 25Adjacent side² = 144Adjacent side = √144Adjacent side = 12Taking the tan ratio :
tanθ = opposite side / adjacent sidetanθ = 5/12