The number of ways in a class of size 60 where no two students will have the same birth date is 365 x 364 x 363 x 362 x ........... x 306.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of students = 60
We will assume 365 days in a year.
Now,
The first student will have 365 possible days for his birthday.
The second student will have 364 possible days for his birthday.
In this way,
The last student will have (365 - 59) possible days for his birthday.
Now,
The number of possible ways for 60 students.
= 365 x 364 x 363 x 362 x ........... x 306
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Which equation represents a proportional relationship where the constant of proportionality is 2? * y=2+k k=2y y=2+x y=2x
Answer:
y = 2x
Step-by-step explanation:
here in this case, x = independent variable whereas y is the dependent variable.
Now, Equation that represents a proportional relationship with a constant or proportionality of 2 is y =2x.
as y= 2x
⇒ y/x = 2
The following information is given about a trapezoid: A trapezoid is isosceles if its non-parallel sides are congruent. Trapezoid ABCD is not isosceles. Based
on the information, which statement is a valid conclusion about Trapezoid ABCD?
-The parallel bases are congruent.
-The non-parallel sides are perpendicular,
-The non-parallel sides are not congruent.
-One base and one non-parallel side are perpendicular.
should I be worried about my upcoming exams?
Answer:
i don't know but I am I have them Monday I'm pretty sure I will fail in math but you'll be good
Step-by-step explanation:
brainlyest please I'm trying to get my thing up
For every 3 packages that Marcella wraps, she uses 12 of a roll of wrapping paper. If she uses 212 rolls of wrapping paper, how many packages has she wrapped?
Answer:
She wrapped 27 packages also can i have brain or heart
How many bases are there in the triangular pyramid shown below?
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
In a pyramid, there is only one base that touches the ground.
However, in a prism, there are two bases, two of the same ends.
The front of the name of the shape also hints:
If it's an octagonal prism, there are two octagon bases.
If it's a hexagonal pyramid, there is one hexagon base.
An aquarium holds 11.04 cubic feet of water, and is 2.3 feet long and 1.2 feet wide. What is its depth? Round your answer to the nearest whole number. The depth is feet.
Answer:
Depth is 4 feet.
Step-by-step explanation:
Given:
Length of an aquarium is 2.3 feet
Width of an aquarium is 1.2 feet
Volume of an an aquarium is 11.04 cubic feet
To find: depth of an aquarium is 2.3 feet
Solution:
If [tex]l,b,h[/tex] denote length, width and height of a cuboid then volume (V) of a cuboid is equal to [tex]lbh[/tex]
[tex]l=2.3[/tex] feet
[tex]b=1.2[/tex] feet
[tex]V=11.04[/tex] cubic feet
[tex]11.04=2.3(1.2)h\\h=\frac{11.04}{2.3(1.2)}\\h=\frac{11.04}{2.76}[/tex]
[tex]h=4[/tex] feet
Therefore,
depth is 4 feet.
Find the constant proportionality (r) using the value for r, enter an equation in the form of. C=rg that represents the relationship between the number of the gallons of gasoline used (g) and the total cost(c)
Answer:
3.333
C = 3.3333g
Step-by-step explanation:
Given the relation : C = rg
C = Total cost of gasoline
g = Number of gallons of gasoline used
r = constant of proportionality
Picking any point on the graph :
At cost, c = $30
Number of gallons of gasoline used, g = 9
Putting the values into our equation :
C = rg
$30 = r * 9
30 = 9r
Divide both sides by 9
30/9 = 9r / 9
3.333 = r
Hence, constant of proportionality, r = 3.333
Please help me!!!!!!
Answer:
13.5 ft²
Step-by-step explanation:
This is also a trapezoid so we can do this formula:
[tex]A=\frac{a+b}{2} *h\\\\A=\frac{3+6}{2} *3\\\\A=\frac{9}{2} *3\\\\A=4.5*3\\A=13.5[/tex]
This is due in 2 minutes
Reggie deposited $1200 into an account that earns 5% compound interest yearly if he does not deposit any more to the account or take any money out of the account how much interest will Reggie earn on his investment at the end of four years round your answer to the nearest whole number
Answer:
$1,440
Step-by-step explanation:
1,200 / 10 = 120. 120 is 10%. So this means that 5% is $60. 60 x 4 = 240.
1,200 + 240 = 1,440
Find x, to the nearest hundredth.
Answer:
Step-by-step explanation:
cos 44° = [tex]\frac{x}{14}[/tex]
x = 14 × cos 44°
x ≈ 10.07 units
If Circle A has a radius that is five more than twice as long as the radius of circle B and the sum of the diameters of the circle is 88 inches, find the area and circumference of circle A
Answer:
Circumference of a circle A = [tex]389.7 \,\,inches[/tex]
Area of a circle A = 12081.1 square inches
Step-by-step explanation:
Let [tex]r[/tex] denotes radius of circle B.
Circle A has a radius that is five more than twice as long as the radius of circle B.
So,
Radius of circle A = [tex]5+2r[/tex]
Diameter of circle = 2 (radius of circle)
So,
Diameter of circle B = 2r
Diameter of circle A = [tex]2(5+2r)[/tex]
Sum of the diameters of the circles A and B = [tex]2r+2(5+2r)[/tex]
[tex]=2r+10+4r[/tex]
[tex]=6r+10[/tex]
As sum of the diameters of the circles is 88 inches,
[tex]6r+10=88\\6r=78[/tex]
[tex]r=13[/tex] inches
Radius of a circle A = [tex]2(5+2r)[/tex]
[tex]=2[5+2(13)][/tex]
[tex]=2(5+26)[/tex]
[tex]=2(31)[/tex]
[tex]=62[/tex] inches
Let R denotes radius of a circle A.
R = 62 inches
Circumference of a circle [tex]=2\pi R=2\pi (62)=124\pi =124(\frac{22}{7})=389.7 \,\,inches[/tex]
Area of a circle [tex]=\pi r^2=\pi (62)^2=3844\pi=3844(\frac{22}{7})=12081.1[/tex] square inches
what is the awnser to 848 ÷ 6 =
Answer:
I think 141 is the answer
A student’s AP statistics project involves comparing the time it takes a student to complete a set of 25 basic trinomial factoring problems while listening to either rap music or country music. Twelve students are timed on two different sets of problems of equal difficulty. The order of which set of problems he does first and which music he listens to first are randomized. The resulting data is thus paired, with each student acting as his own "pair." Which of the following conditions is required to perform a t-test on these paired data?
A. The distribution of times for all students on each set of problems must be approximately Normal.
B. The distribution of times for all students while listening to each type of music must be approximately Normal.
C. The distribution of times for all 24 sets of problems (12 students are taking 2 tests each) must be approximately Normal.
D. The distribution of differences between each individual student’s times on each of the two tests (time with rap – time with country) must be approximately Normal.
Answer:
D. The distribution of differences between each individual student’s times on each of the two tests (time with rap – time with country) must be approximately Normal.
Step-by-step explanation:
For a paired test, there are two measured values of a particular point, here what is measured is the time taken for each of rap and country music by each student.
The difference :
t2 - t1 = time with rap music - time with country music.
The number of samples usually associated with t distribution is usuall y very small (n ≤ 30).
Slope- intercept equation from a graph
Find the equation of the line
We can find the slope using any two points on the line. Readily identifiable are the points (2, 0) and (0, 3), from which we can find the slope:
[tex]\text{slope} = m=\frac{y_2-y_1}{x_2-x_1} \\ m = \frac{3-0}{0-2} = -\frac{3}{2}.[/tex]
The y-intercept is the y value when x = 0, which we already know is 3. So, the slope-intercept equation of this line is:
[tex]y=-\frac{3}{2}x+3.[/tex]
An arithmetic sequence has a first term of 0 and the 9th term of 12. If 27 is an output of the sequence, which term number is it? Show all steps of calculations and explain in a sentence at the end how you know you have the correct term number.
Giving 100 points to first correct answer
Answer:
Step-by-step explanation:
[tex]a_{n}=a_{1}+(n-1) d\\n=9\\12=0+(9-1)d\\8d=12\\d=\frac{12}{8}=\frac{3}{2}\\again\\27=0+(n-1)*\frac{3}{2}\\n-1=27*\frac{2}{3}=18\\n=18+1=19[/tex]
Henry cut a 58 inch plank of wood into two pieces. The longer piece is 20 inches longer than the
shorter piece. What are the lengths of both pieces?
Are the triangles congruent ? Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
no they are the illuminati
Step-by-step explanation:
The number of mosquitoes at the beginning of the summer was 4,000. The population of
mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be
after 4 months?
What is the measure of each angle?? NEED HELP ASAP
Answer:
The base angles are 64. The top angle is 52
Step-by-step explanation:
Since this is an icoseles triangle, the base angles are equal so:
8x - 16 = 6x + 4
8x - 6x = 4 + 16
2x = 20
x = 10
8x - 16
8(10) - 16
80 - 16
64
The top angle (x)
x + 64 + 64 = 180
x + 128 = 180
x = 52
Which is the graph of linear inequality 6x + 2y > –10? NO PICTURES PLZZ
Answer:
y>-5-3x
Step-by-step explanation:
What is the order of these numbers from least to greatest?
4.03 4.3 4.003
Please help with this math equation
Answer: 1725 ft^2
Step-by-step explanation:
Rectangle part is 30*50 or l*w = 1500
Triangle is 15*30/2=225
Add the two to get area
1500+225=1725
Evaluate 3 (43+ 2) - 6 + 12 ➗ 4 x 2
Answer:
Hi! The answer to your question is Exact form: [tex]\frac{141}{8}[/tex], Decimal form: 17.625, Mixed number form: 17 5/8
Step-by-step explanation:
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Find the equation of the graphed line.
Answer:
d. y = -⁷/6x - 7
Step-by-step explanation:
✔️First, find the slope (m) using two points on the line, (-6, 0) and (0, -7):
Slope (m) = change in y/change in x
Slope (m) = (-7 - 0)/(0 - (-6))
Slope (m) = -7/6
✔️Determine the y-intercept (b):
The line intercepts the y-axis at -7. Therefore,
b = -7.
✅To write the equation, substitute m = -⁷/6 and b = -7 into y = mx + b
Thus:
y = -⁷/6x + (-7)
y = -⁷/6x - 7
Triangle Ratios (Sides)
Find the value of c. Round to the nearest tenth!
Answer:
x =30.7
Step-by-step explanation:
Here, we want to find the value of x
To get this, we use the appropriate trigonometric ratio
From what we have, we have the side facing an angle which is the opposite and the side not facing an angle or the right angle; this is the adjacent
The trigonometric identity that links the opposite and the adjacent is called the tan
It is the ratio of the opposite to the adjacent
Thus, we have;
tan 61 = x/17
x = 17 * tan 61
x = 30.7
Please answer with explanation
Answer:
1. if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = 6/2= 3. Thus, the equation describing this direct variation is y = 3x.
2. Partial Variation, where two variables are related by a formula, such as the formula for a straight line (with a non-zero y-intercept)
example :
in the milk factory Carol makes $10 per hour but gets an extra $20 from another job. since Carol gets a $20 allowance regardless of how much she works, if we want to represent Carol's situation in the form of an equation, it would be
Y=10x + 20
therefore if she worked zero hours
(Y=10(0) + 20),
she would still make $20 unconditionally and for every hour she works, she gets $10 more including the initial $20.
thus Carol's equation would be a partial variation, since her income doesn't entirely depend on how much she works.
3. a relation is non linear because it is has a direct relationship between an independent variable and a dependent variable.
In a relation, changes in the output do not change in direct proportion to changes in any of the inputs.
relations does not create a straight line but instead creates a curve.
The quadratic function is given in both its standard and factored form below
x²+2x-15=(x+5)(x-3) there is nothing to factoriz
SL and SK are tangent to the circle find x
Answer:
B. 5/2
Step-by-step explanation:
What is the value of y?
Answer:
3y+3+y+2y=
3y+y+2y+3=
4y+2y=6y/3=
3y
Step-by-step explanation: