Use the Fundamental Counting Principle to find the total number of possible outcomes.
Beverage
Size Small, Medium, Large
Flavor
Orange juice, Apple juice,
Lemonade, Milk
Answers
Answer:
There are 12 possible outcomes.
Step-by-step explanation:
For each of the three sizes of beverages, there are four flavors. So there are 3 * 4, or 12, possible outcomes.
Related Questions
Please help me with this trigonometry question. Brainliest available.
Answers
11^2 =7 ^2 +15^2 - 2(7)(15)cos(a)
When you do the maths,
Cos(a) =153/210 =0.729
a= cos inverse of 0.729
a=43 degrees
Considering angle b
7^2=15^2 +11^2 -2(11)(15) cos(b)
This will result in cos(b) =297/330=0.9
b= cos inverse of 0.9 = 25.8 degrees
Considering angle c
15^2=7^2 +11^2 - 2(11)(7) cos(c)
Cos(c) will be = -55/154 = -0.357
c= cos inverse of -0.357=110.9
Comparing the angles a,b and c,
C is the largest size in the triangle with an angle of 110.9 degrees
Am I right please ??
I need help please someone help me :(
Btw the bottom on has the same graph I just need a answer
Answers
Problem 1
There are 23 women that drive out of 12+3+23+8+5+32 = 83 people total
Divide the two values: 23/83 = 0.28 approximately
This says about 28% of the total people are women who drive a car.
Answer: 0.28===========================================================
Problem 2
The "given" is a very important keyword in probability. In this case, we're given that the employee takes the bus. That means we soly focus on the "bus" column only. Everything else is irrelevant. This is because we know 100% that whoever we selected takes the bus, and we've shrunk down the population just these employees.
We have 8 males who take the bus out of 12+8 = 20 people who take the bus. Therefore, 8/20 = 0.40 represents the relative frequency of males who take the bus out of all bus commuters. In other words, 40% of the bus riders are male.
Answer: 0.40What is the center and radius of the circle described by the equation (x + 4)² + (y - 6)² = 25?
A. (4, -6); r = 25
B. (4, -6); r = 5
C. (-4, 6); r = 25
D. (-4, 6); r = 5
Answers
Answer:
A.
Step-by-step explanation:
WILL GIVE BRANLIEST
Which number is irrational? Question 2 options:
A fraction
A terminating decimal
The square root of an imperfect square
Zero
Answers
Answer:
The square root of an imperfect square
Step-by-step explanation:
5(y+2)= -3
Whats the answer TvT
Answers
Answer:
The answer is given below
Step-by-step explanation:
[tex](5y + 10) = - 3[/tex]
[tex]5y = - 3 - 10[/tex]
[tex]5y = - 13[/tex]
[tex]y = - 13 \div 5[/tex]
This is the velue of y
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEAnswer:
5(y+2)= -3
distribute
5y+10=-3
-10
5y=-13
divide by 5
y=-13/5
Hope This Helps!!!
Now, write 21j+56k in factored form .
Answers
Answer:
7(3j+8k)
Step-by-step explanation:
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Problem
The following shape has 111 pair of parallel sides.
What is the area of the shape?
Answers
Answer:
56
Step-by-step explanation:
First I would get the area of the entire figure as if it were a Rectangle
10x7 = 70 Area if the figure was a rectangle.
We can form a triangle with the cut out space, the height of the triangle is 10-6 which is 4 and has a base of 7.
7x4= 28
28/2 = 14 Area of triangle cutout
Now you subtract the two figures
70-14= 56
56 Is the area
The area of the given shape is 56 square units.
What is an area?The quantity of space within a two-dimensional figure or form is measured by its area. It is a number that describes the size or extent of a surface, like the surface of a flat plane or the contours of an area on a map.
First I would get the area of the entire figure as if it were a Rectangle
10x7 = 70 Area if the figure was a rectangle.
Form a triangle with the cutout space, the height of the triangle is 10-6 which is 4, and has a base of 7.
7 x 4= 28
28/2 = 14 Area of triangle cutout
Now you subtract the two figures
70-14= 56 Square units
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Which is an equation of the line that passes through the points (5,2) and (10,-3)?
A. y = x - 3
B. y = x - 8
C. y = -x + 7
D. y = -x + 12
Answers
Answer:
C
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 2 ) and (x₂, y₂ ) = (10, - 3 )
m = [tex]\frac{-3-2}{10-5}[/tex] = [tex]\frac{-5}{5}[/tex] = - 1 , then
y = - x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (5, 2 ), then
2 = - 5 + c ⇒ c = 2 + 5 = 7
y = - x + 7 ← equation of line
You get this by first finding the slope between the two points
Y2 - Y1
X2 - X1
It gives you 5/-5 which is -1
So you can narrow it down to options C and D
Now you can just substitute into both equations
2 = -(5) + 7
2 = 2
-3 = -(10) + 7
-3 = -3
Since both coordinates work in C then C is the answer
dimentions 1m by 0.6m by 0.3m. density 2.7g/cm3 what is the mass
Answers
Answer:
486kg
Step-by-step explanation:
What is the value of x?
Enter your answer in the box.
x =
The figure shows 2 right triangles, triangle A B C with right angle B and triangle B D C with right angle D. The measure of angle B A C is 45 degrees. The measure of angle D B C is 60 degrees. The length of side C A is 6 square root 2. The length of side B D is x.
Answers
Answer:
x=3
Step-by-step explanation:
I took the test and I got it right but if you want an explanation see bellow.
so triangle ABC is a 45- 45 -90 and we are given the hypotenuse of [tex]6\sqrt{2}[/tex]
and on a 45-45-90 triangle we know that the hypotenuse is always [tex]s\sqrt{2}[/tex] s standing for the lengths of both of the legs since they are both equal, so this tells us that line segment AB and BC are equal to 6, SO triangle BCD hypotenuse is equal to 6.Triangle BCD is a 60-90-30 triangle as we can tell by the measures given, and in a 60-90-30 triangle the hypotenuse is equal to S and it's shorter length known as line segment BD on this triangle is equal to [tex]\frac{s}{2}[/tex] and since we know s=6 we can do [tex]\frac{6}{2}[/tex] giving us our answer 3.
Using the sine ratio and the cosine ratio, the value of x in the given triangle is calculated as: x = 6.
How to Find the Value of x?Using the sine ratio, find BC:
sin ∅ = opposite/hypotenuse
Given the following:
∅ = 45°
hypotenuse = 6√2
opposite = BC
Substitute:
sin 45 = BC/6√2
sin 45 = BC/6√2
√2 = BC/6√2 [sin 45 = √2]
BC = √2 * 6√2
BC = 12 units
Use the cosine ratio to find x:
cos ∅ = adjacent/hypotenuse
Thus, we have:
cos 60 = x/12
1/2 = x/12 [cos 60 = 1/2]
2x = 12
x = 6.
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Maria bought 3 books for a total of $26. 25. How much did each book cost?
Answers
Answer:
Step-by-step explanation:
To find the unit rate , divide the total cost by number of books
Cost of 1 book = 26.25 ÷ 3
= $ 8.75
Maria bought 3 books for a total of $26. 25. How much did each book cost ?
Explanation -:In this question it is given that Maria bought 3 books and the cost of 3 books is $26.25. We are asked to calculate the cost of 1 book.
We can find the cost of 1 book by dividing the total cost by number of books.
Cost of 1 book = $26.25 ÷ 3 = [tex]\dfrac{26.25}{3}[/tex] = 8.75
Verifying -:Cost of 1 book = $8.75
Cost of 3 books = 8.75 × 3 = $26.25
Hence, proved
Let R be the region enclosed by f(x) = x² + 4, g(x) = (x - 5)² and the axes x = 0 and y = 0. Compute the volume V
obtained by rotating R about the x-axis.
Hint: Express V as a sum of two integrals.
Answers
Answer:
v=0g
That's what i got
good luck
find a three-digit number, which is 5 times greater than the product of its digits
Answers
Answer:
175
Step-by-step explanation:
How would one find a three-digit number which is 5 times as large as the product of its digits?
100a + 10b +c = 5abc
This shows that c must be a multiple of 5. Since it is a digit, c=5 ( c=0 does not work ).
Then:
100a + 10b + 5 = 25ab
This again shows that 10b+5 is a multiple of 25.
By testing all the digits, b=2 or b=7.
If b=2, then
100a + 25 = 50a
which has the solution a= -1/2, not a digit.
if b=7
100a +75 = 175a
Now the solution is a=1, so finally the number is 175. Indeed, 175 = 5*1*7*5.
Does that answer your question..?
Please help, I don't understand this at all!!
Answers
Answer:
Step-by-step explanation:
if the middle point of the circle is the letter O
2a.
if the middle point is the letter O
answer: LOM is a central angle
central angle means it comes from the center and each part of it is a radius
central angle is the same degree as the degrees of its arc
so it would also be 84 degrees
2b.
answer: points LM make a minor arc because its less than 180
2c
answer: points LKN make a semi circle
2d
answer: LKNM is a major arc because its more than 180
2e
LKM = 360 - 84 = 276
answer: 276
2f
84*2=168 -> 360-168 = 192 -> 192 divided by 2 is 96
answer: LK is 96
2g
answer: MN is 96
2h
NK is like LM so its 84
answer: 84
2i
LKN is 84+ 96 = 180
answer: 180
2j
360-96 = 264
answer: 264
write the equation polynomial whose graph contains the points (1,0),(-5,0),(-2,0),(-4,30)
Answers
Answer:
y = 3(x - 1)(x + 5)(x + 2)
Step-by-step explanation:
Given points: (1, 0) (-5, 0) (-2, 0) (-4, 30)
x-intercepts are when y = 0
Therefore, the x-intercepts are x = 1, x = -5 and x = -2
So (x - 1), (x + 5) and (x + 2) are all factors of the polynomial.
Therefore, the equation of the polynomial is:
y = a(x - 1)(x + 5)(x + 2) where a is a constant to be found
To find the constant a, input the point (-4, 30) into the equation and solve:
⇒ a(-4 - 1)(-4 + 5)(-4 + 2) = 30
⇒ a(-5)(1)(-2) = 30
⇒ 10a = 30
⇒ a = 3
Therefore, the equation of the polynomial is:
y = 3(x - 1)(x + 5)(x + 2)
The shortest warmer was blue. The two longest warmers were pink.
How much longer was the combined length of the pink warmers than the length of the blue warmer?
Answers
Answer:
8
Step-by-step explanation:
The shortest leg warmer:
4.5
The longest leg warmers:
6 and 6.5
6 + 6.5 = 12.5
12.5 - 4.5 = 8
Need help i will give brainlist
Answers
Answer:
The option u chose is the correct one
If the radius of the planet is given by R, and the height above the surface is given by h, use the figure below, and the Pythagorean Theorem to derive the formula for the distance, d, to the horizon tangent point, assuming that the triangle is a right triangle.
Please answer the second one too
Answers
Applying the pythagroean theorem, the formula to find the horizontal distance, d, is: [tex]\mathbf{d = \sqrt{h^2 - R^2} }[/tex]
What is the Pythagorean Theorem?The pyhagroean theorem is given as, c² = a² + b², where h is the longest side of the right triangle.
Given the following:
c = ha = db = RThe formula derived would be:
h² = d² + R²
Make d the subject fo the formula
[tex]\mathbf{d = \sqrt{h^2 - R^2} }[/tex]
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Paula bicycled for 20 minutes and covered 5 miles. What is her speed in miles per hour?
Answers
.
Find the equation of the line that goes through the point (-2, -2) and has a slope of -4.
y = -2x - 4
y = -4x - 2
y = -2x - 2
y = -4x - 10
Answers
Answer:
D
Step-by-step explanation:
its this because if you graph it in the calculator you can see the points it goes through and you can tell the slope is -4 because its in slope y intercept format:)
If the second term of an arithmetic progression is - 4 and the fourth term is 8, find the ninth term.
Answers
Answer:
Step-by-step explanation:
a₄ = a₁ + (4-1)d
4 = -4 + 3d
d = 8/3
a₈ = a₄ + (8-4)d = 4 + 4(8/3) = 14⅔
HELP ME!!!!!!
The data represents the yearly salary, in thousands of dollars, for 9 managers.
{68, 54, 104, 183, 72, 84, 75, 108, 71}
What is the five-number summary?
A. Minimum = 54Q1= 69.5Median = 75Q3= 106Maximum = 183
B. Minimum = 54Q1= 72Median = 74.5Q3= 104Maximum = 183
C. Minimum = 54Q1= 71Median = 74.5Q3= 108Maximum = 183
D. Minimum = 54Q1= 70Median = 74.5Q3= 106Maximum = 183
Answers
Answer:
A. Minimum = 54, Q1= 69.5, Median = 75, Q3= 106, Maximum = 183
Step-by-step explanation:
Arranging the data set in order from least to greastest we get:
54, 68, 71, 72, 75, 84, 104, 108, 183
From this, we can see that the minimum value is 54 and the maximum value is 183.
Taking a number off one by one on each side of the data set gives the median. In the middle lies 75, so that is our median
To find quartile ranges, split the data set into two where the median lies, then, find the median of those two data sets. The medians will be the values of the upper (Q3) and lower quartiles (Q1).
Q1: 54, 68, 71, 72
68 + 71 = 139
139 ÷ 2 = 69.5
-----
Q3: 84, 104, 108, 183
104 + 108 = 212
212 ÷ 2 = 106
Option A is the only answer with all of these values, therefore, it is the answer.
hope this helps!
T.True F.False While on your Limited Learner Permit (Level 1), you are required to keep a Driving Log and record a minimum of 60 hours of driving time.
Answers
It is true that you are required to keep a Driving Log and record a minimum of 60 hours of driving time, while on level 1
How to determine the truth value?There are 5 requirements a driver must fulfil before progressing to level 2 of learner permit.
One of these requirements is that the driver must spend at least 60 hours driving.
This means that the minimum driving time is 60 hours
Hence, the statement is true
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Yo I need to bring up my math grade bad so
simplify combining like terms
-11+2(4x-1)+6
(show step by step0
Answers
-11+2(4x-1)+6
-11+8x-2+6
-13+8x+6
-7+8x
a rectangle with a length of 28 and perimeter of 64 what is the width and what is the area
Answers
(28)(2)+ (2x) = 64
56 + 2x = 64
2x = 64 - 56
2x = 8
x = 4 [width]
Area = (lenght)(width) = (28)(4) = 112
Find the measurement of the missing angle of this quadrilateral.
Answers
Answer:
x= 81°
Step-by-step explanation:
the interior angles of a quadrilaterial add up to 360°
143+80+56+x=360
condense left side: 279+x=360
isolate x: 279-279+x=360-279
x= 81°
Which expression represents the volume, in cubic units, of the frustum? one-thirdπ(7.52)(11) – one-thirdπ(3.52)(8) one-thirdπ(7.52)(11) one-thirdπ(3.52)(8) one-thirdπ(7.52)(19) – one-thirdπ(3.52)(8) one-thirdπ(7.52)(19) one-thirdπ(3.52)(8)
Answers
The expression that represents the volume of the frustum, Volume of larger cone - volume of smaller cone, is: C. ⅓π(7.5²)(19) - ⅓π(3.5²)(8) .
What is the Volume of a Frustum?Volume of a frustum = Volume of larger cone - volume of smaller cone = ⅓π(R²)(H) - ⅓π(r²)(h)
Given the cone in the digram below with the following parameters:
R = 7.5 units
H = 8 + 11 = 19 units
r = 3.5 units
h = 8 units
Volume of the frustum = ⅓π(7.5²)(19) - ⅓π(3.5²)(8)
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Answer:
C. Edge
Step-by-step explanation:
Need answered please
Answers
Answer:
4,6
Step-by-step explanation:
because the distance 3 so the distance from r to s has to be the same pretty sure
How would you solve 3 little 6 divided by 3 little -2
Answers
Answer:
[tex]3^{6-(-2)}[/tex]
Step-by-step explanation:
[tex]~~3^6 \div 3^{-2}\\\\\\=\dfrac{3^6}{3^{-2}}\\\\\\=3^{6-(-2)}[/tex]
How does g(t)=20.9t change over the interval from t=2 to t=3?
Answers
[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ g(t)= 20.9t\qquad \begin{cases} t_1=2\\ t_2=3 \end{cases}\implies \cfrac{g(3)-g(2)}{3-2}\implies \cfrac{20.9(3)~~ - ~~20.9(2)}{1} \\\\\\ 62.7~~ - ~~41.8\implies 20.9[/tex]