First girl, Deena danced with 6 boys.
Second girl, Chloe danced with 7 boys.
Third girl, Moira danced with 8 boys.
And so last girl, Anna danced with all boys, given is an arithmetic series as 6, 7, 8, ........, a+(n-1)d.
Let's assume number of girls are 'n'.
Last term of a.p. series would be number of boys = a+(n-1)d.
Here a=6 and d=1, so number of boys = 6+(n-1)*1 = 5+n.
Given there were 23 students.
So total students = number of girls + number of boys
23 = n + (5+n)
23 = 2n + 5
2n = 23-5 = 18
n = 9.
Hence, there were 9 girls and 14 boys.
whats the factor of 21n^2 -14
Answer:
7(3n^2-2)
Step-by-step explanation:
=21n^2-14
As the numbers 21 and 14 are multiples of 7, so 7 will be the common factor
=7(3n^2-2)
A bag contains 10 identical balls numbered from 1 to 10. What is the probability that a person reaches into the bag and randomly selects a ball with a number that is even?
Alan drew a polygon with four sides and four angles. All four sides are equal.None of the angles are right angles.What figure did Alan draw
A rhombus has diagonals 500 yd and 800 yd in length. Find the area in square miles.
what's the radius of a circle with an area of 64 square feet?
the radius of a golf ball is 2.1 centimeters find the volume of the golf ball to the nearest tenth
The volume of the golf ball, rounded to the nearest tenth, is approximately 13.8 cm^3.
Explanation:
The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where V is the volume and r is the radius of the sphere.
In this case, the radius of the golf ball is given as 2.1 centimeters. So, substituting the value of the radius into the formula, we can find the volume.V = (4/3)π(2.1)^3 = 4.4π cm^3. To find the volume to the nearest tenth, we substitute π with its approximate value of 3.14 and calculate V = 4.4 * 3.14 = 13.816 cm^3.Rounded to the nearest tenth, the volume of the golf ball is approximately 13.8 cm^3.
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The ___ is the collection of all possible individual outcomes for a chance process. The total probability of all the possible individual outcomes is ____.
Choices for first blank: probability model; relative frequency; sample space; probability
Choices for second blank: 0.5; 0; 1; 100
Answer:
1. sample space
2. 1
Step-by-step explanation:
the school cafeteria served 125.6 liters of milk on Monday and 5.34 more liters of milk on Tuesday than on monday.how many total liters of milk were served on Monday and Tuesday
2. Basketball Players:
Find the Measures of Center and Variability for Basketball Players Heights.
Mean:
Mode:
Median:
Range:
3. a. How many of the 10 basketball players are shorter than the tallest field hockey player?
b. List the heights that overlap in the dot plot?
if f(x)=3x^2+2x-1, what is f(0)
select all expressions less than 5-square root of 135
a.pie/square root of 2
b.5/square root of 3
c.3+2 times square root of 2
d.4+8 time square root of 50
explain and show work
Jade is making a square birthday card and she's going to put a ribbon borders on each of the 4 equal sides piece of ribbon that is 33 inches long do you have all of the ribbon how many inches of ribbon conget put on all
equals side
Final answer:
Jade can use 8.25 inches of ribbon on each side of her square birthday card by dividing the total ribbon length of 33 inches by the number of sides, which is 4.
Explanation:
Jade is making a square birthday card and wants to put ribbon borders on each of the 4 equal sides using a piece of ribbon that is 33 inches long. To determine how much ribbon can be put on each side, we divide the total length of the ribbon by the number of sides of the square. Since a square has four sides, we divide 33 inches by 4.
33 inches ÷ 4 sides = 8.25 inches per side
Therefore, Jade can put 8.25 inches of ribbon on each side of the birthday card.
A single , standard number cube is tossed. What is the probability of getting a 4 or 5 ?
1. 1
2. 1 / 5
3. 1 / 3
4. 1 / 6
[tex] |\Omega|=6\\
|A|=2\\\\
P(A)=\dfrac{2}{6}=\dfrac{1}{3}\approx33\% [/tex]
The cost of a taxi is $2.75 plus $0.40 per half mile.write an equation to find the cost of a taxi ride that is m miles long How much would it cost you to travel 45 miles m=#miles c=#cost
1.C stand for ____.
a.cost
b.circle
2.what is the equation?
a.c=-0.4m+2.75
b.c=0.4m+2.75
3.what is the solution?
a.$6.35
b.$6.25
$7800 increased by 22.5%
10 < –2b or 2b + 3 > 11
Cindy has a jar of mixed nuts. There are two pecans, three peanuts, and one cashew in the jar. Cindy grabs two nuts and gives them to her friend, Paul, and he eats them. What is the probability of Paul eating a cashew and a pecan?
A. 1/18
B. 1/15
C. 2/11
D. 1/4
How many 8 ounce bags of trail mix can be filled from a 10 pound bag of trail mix
Layla drew a quadrilateral with 4 right angles and 2 pairs of opposite sides sides that are parallel.What quadrilateral best describes her drawing?
Based on the given information, Layla's drawing is a special type of quadrilateral known as a rectangle.
What is the rectangular shape?Rectangles are quadrilaterals having four equal vertices and parallel sides that are equal to one another.
A rectangle is defined as a quadrilateral with four right angles and opposite sides that are parallel and congruent (i.e., they have the same length).
In Layla's drawing, she stated that there are two pairs of opposite sides that are parallel, which satisfies this definition.
Furthermore, the fact that all four angles are right angles also fits the definition of a rectangle.
It is important to note that not all quadrilaterals with two pairs of parallel sides and four right angles are rectangles.
For example, a parallelogram with four right angles is a special type of rectangle known as a square, which has all sides congruent.
Therefore, based on the given information, Layla's drawing best describes a rectangle.
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use the law of cosines to find the measure of BC?
The length of side CB is 33 unit using Law of Cosines.
Thus, option (D) is correct.
Given:
AB = 28 unit
<A = 81
AC = 17 unit
According to Law of Cosines
the lengths of the sides of a triangle to the cosine of one of its angles.
The Law of Cosines states:
[tex]c^2 = a^2 + b^2 - 2ab * cos(C)[/tex]
Where:
c = side opposite angle C
a and b = lengths of the other two sides
< C= opposite side c
Now, using Law of Cosines
CB² = AC² + AB² - 2 . AC. AB COS (91)
= (17)² + (28)² - 2 (17)(28) COS (91)
= 289 + 784 - 476 (-0.01745)
= 1,081.3062
So, CB = √ (1,081.3062)
CB = 32.883
CB = 33 unit.
Thus, the value of CB is 33 unit.
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The Eiffel Tower is about 301 m tall Cooper is making a scale model of the using the scale 750 meters : 1 meter to the nearest 10th of a meter, what will be the height of the scale model
Parker bought 4 times as many marbles as Molly.Cole bought 5 fewer marbles than Parker. If Molly bought p marbles how many did Cole buy?
Explain how the segment addition postulate can be modeled using a real-world object.
Help please i can’t figure this out
maths question help plz
7÷10p^3 ÷ 2÷ 8p^2 please help
A number that is equal to 36 more than y
The number that is equal to 36 more than y is represented as x = y + 36, and is an algebraic expression that adds 36 to the variable y to define another variable x.
Explanation:The question "A number that is equal to 36 more than y" can be expressed in a mathematical form as x = y + 36. Here, we are defining a new variable x, which represents the number that is 36 more than another variable y. This type of problem is common in algebra, where one variable is defined in terms of another.
To understand this with an example, if y represented someone's final exam history grades and we wanted to find a number that is 36 points higher than their history grade, we would add 36 to their grade y to get x. So, if the history grade was 60, the number x would be 60 + 36, which equals 96.
This relationship between x and y could be part of a larger system of equations or could represent a formula used to transform one set of data to another set, such as adjusting scores or predicting outcomes based on previous data.
Sara hiked down a mountain for 4 hours. Each hour her elevation decreased by 8 meters. Compute her change in elevation to her starting point.
Sara's change in elevation is calculated by multiplying 4 hours by -8 meters/hour. This gives a total change in elevation of -32 meters, which shows that Sara descended 32 meters from her starting point.
Explanation:The subject of your question is math, specifically dealing with the concept of multiplication. To determine Sara's change in elevation, we have to know how much the elevation decreases each hour. It's important to note that the decrease in elevation is the same as saying Sara is descending, thus the change will be represented by a negative number.
In this case, for every hour Sara hiked, her elevation decreased by 8 meters. Therefore, the total change in elevation after 4 hours would be 4 hours multiplied by -8 meters/hour. The calculation for this is:
4 hours * -8 meters/hour = -32 meters
Therefore, Sara hiked down a total of 32 meters from her starting point on the mountain.
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Which of the values in the set {2, 3, 4, 5} is a solution to the equation 2x + 4 = 10?
A. 2
B. 3
C. 4
D. 5
Answer:
Your answer would be B!
Step-by-step explanation:
I took the test myself just now and got it right <3
At a fair, each person can spin two wheels of chance. The fist wheel has numbers 1,2, and 3. The second wheel has the letters A and B. (A) list all the possible outcomes of the computed event. (B) if you spin both wheels, what is the probability that you get either a 1 or an A? Explain.
(a) There are 3 numbers on the fist well and 2 letters on the second, so number of possible outcomes = 3*2 = 6 possible outcomes
The possible outcomes are 1A, 2A, 3A, 1B, 2B, 3B
So in total there are 6 possible outcomes as shown above if a person can spin the two wheels
(b) From possible outcomes A or 1 can appear four times namely: 1A,2A,3A and 1B
So probability is number of successes/ total number = 4/6