the following two-way table describes students after school activities. find the probability that a randomly selected is in music/drama.
Answers
Answer:
30=7+13+5=
30=25+p
p=30-25=
p=5
Related Questions
On a coordinate plane, a curved line begins at point (1, 2) and ends at (5, 4).
What is the range of the function on the graph?
all real numbers
all real numbers greater than or equal to 0
all real numbers greater than or equal to 1
all real numbers greater than or equal to 2
Answers
Step-by-step explanation:
there must be something missing here (I guess, the graph).
because just by looking at the 2 points, all 4 answer options could be wrong, or all 4 could be right.
just basing on the point coordinates I see the functional values (y) go from 2 to 4.
but we have no clue about what that curved function does in between these 2 points.
please provide the full information.
(2-3 t)^2 QUICK PLEASEEEEEEEEEEEEEEEE
Answers
Answer:
The answer is = 4 - 12t + 9t^2
Step-by-step explanation:
(2-3t)^2
= 2^2 - 2*2*3t + (3t)^2
= 4 - 12t + 9t^2
if cos A= 9\13 find csc A
Answers
Answer:
13[tex]\sqrt{22}[/tex] / 44
Step-by-step explanation:
cos A = 9/13
here adjacent = 9 and hypotenuse = 13 opposite = ?
using pythagoras theorem to find opposite
a^2 + b^2 = c^2
9^2 + b^2 = 13^2
81 + b^2 = 169
b^2 = 169 - 81
b^2 = 88
b = [tex]\sqrt{88}[/tex]
b = [tex]2\sqrt{22}[/tex]
therefore opposite = [tex]2\sqrt{22}[/tex]
cosec A = hypotenuse/opposite
= 13/[tex]2\sqrt{22}[/tex]
rationalizing the denominator
=13/ [tex]2\sqrt{22}[/tex] * [tex]2\sqrt{22}[/tex] / [tex]2\sqrt{22}[/tex]
=13 *[tex]2\sqrt{22}[/tex] /( [tex]2\sqrt{22}[/tex] )^2
=26 [tex]\sqrt{22}[/tex] / 4*22
=26 [tex]\sqrt{22}[/tex] / 88
=13[tex]\sqrt{22}[/tex] / 44
Answer:
[tex]cosec A = \frac{13}{\sqrt{88}}[/tex]
OR
[tex]cosec A = \frac{13 \sqrt{22}}{44}[/tex]
Step-by-step explanation:
Formulas used:
[tex]cos^2 A = 1 - sin^2 A\\\\cosec A = \frac{1}{sin A}[/tex]
Given :
[tex]cos A = \frac{9}{13}[/tex]
Find cosec A
[tex]sin ^2 A = 1 - cos^2 A[/tex]
[tex]= 1 - (\frac{9}{13})^2\\\\= 1 - \frac{81}{169}\\\\=\frac{169 - 81}{169}\\\\=\frac{88}{169}[/tex]
[tex]sin A = \sqrt{\frac{88}{169}} = \frac{\sqrt{88}}{13}[/tex]
Therefore,
[tex]cosec A = \frac{1}{sin A} = \frac{1}{ \frac{\sqrt{88}}{13}} = \frac{13}{ \sqrt{88}}[/tex]
OR In a simplified form :
[tex]cosec A = \frac{13}{\sqrt{88}} \times \frac{\sqrt{88}}{\sqrt{88}} = \frac {13 \times \sqrt{4 \times 22}}{88} = \frac{13 \times 2 \sqrt{22}} {88} = \frac{13 \sqrt{22}}{44}[/tex]
Question 7 of 27
Which of the following is an element in the sample space for first rolling a
number cube and then tossing a coin?
Answers
Answer:
TH is an element on the sample space for first rolling a die and then tossing a coin. A coin has both heads and tails.
The sample space for rolling a number cube and then tossing a coin is:
{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}
The elements can be any of the elements in the sample space.
What is sample space?It is the total number of possible outcomes from a given set.
We have,
The sample space for rolling a number cube and then tossing a coin consists of all possible outcomes from rolling the number cube and tossing the coin.
Each outcome is a pair consisting of a number from 1 to 6 (the possible outcome from rolling the number cube) and a head or tail (the possible outcome from tossing the coin).
Therefore, an element in the sample space can be represented as an ordered pair (n, h/t), where n is the number rolled on the number cube and h/t is the outcome of the coin toss (either head or tail).
So,
The sample space for rolling a number cube and then tossing a coin is:
{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}
For example, (3, H), (6, T), (1, H), and (4, T) are all elements in the sample space.
Thus,
The sample space for rolling a number cube and then tossing a coin is:
{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}
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If f(x) is discontinuous, determine the reason.
f of x equals the quantity x squared plus 4 for x less than or equal to 1 and equals x plus 4 for x greater than 1 (5 points)
A. f(x) is continuous for all real numbers
B. The limit as x approaches 1 does not exist
C. f(1) does not equal the limit as x approaches 1
D. f(1) is not defined
Answers
Answer: Choice A
f(x) is continuous for all real numbers
=============================================================
Explanation:
The piecewise function given to us basically breaks down into these two cases:
If x = 1 or smaller, then f(x) = x^2+4If x > 1, then f(x) = x+4So if we plug in x = 1, then we go for the top line and say
f(x) = x^2+4
f(1) = 1^2+4
f(1) = 5
Showing that f(1) is indeed defined. We rule out choice D because of this.
----------------
Let's see what happens when we plug x = 1 into the bottom equation
f(x) = x+4
f(1) = 1+4
f(1) = 5
Both pieces produce the same output. This tells us that as x approaches 1 from either the left or right sides, the y value approaches y = 5. Therefore, the limit at x = 1 exists. We rule out choice B because of this.
We rule out choice C as well because f(1) does equal the limiting value mentioned earlier.
----------------
The answer is choice A because no matter what x value we plug in, it's not only defined but also it's connected to the rest of the function curve as shown below.
Answer: A; f(x) is continuous for all real numbers
Water is being drained at a constant rate from a tank.
It contains 1000 gallons of water.
After 10 minutes there are 940 gallons of water remaining in the tank.
How much water remained in the tank after 5 minutes?
20 minutes?
30 minutes?
27 minutes?
X minutes?
What is the rate of flow of the water from the tank?
Organize your work to help you answer the questions,
Answers
Answer:
Step-by-step explanation:
1000 gallons - 940 = 60 then divide by the time which gets us 60/10=6
Now we can use this answer to help find out the amount remaining in the tank.
5 minutes = 5x6=30; 1000-30= 970 gallons
20 minutes= 20x6=120; 1000-120= 880 gallons
30 minutes=30x6=180; 1000-180= 820 gallons
27 minutes=27x6=162; 1000-162= 838 gallons
X minutes = 1000-6x
Rate of flow is 6 gallons per minute.
Hope this helps!
Q.No.1: A subset of {2, b} is:
Answers
Answer:
{2}
or
{b}
a subset is a part of the whole set.
Answer:
hope it helps...
3a+5b+2c=?
a+b=15
b+c=14
5b=3b,2b
Answers
Step-by-step explanation:
please check you typing 5b = 3b, 2b
?????
Answer:
73
Step-by-step explanation:
3a + 5b + 2c = ?
Given:
a + b = 15
b + c = 14
now express in terms of b
a = 15 - b equation (i)
c = 14 - b equation (ii)
3a + 5b + 2c
substitute the values
3(15 - b) + 5b + 2(14 - b)
45 - 3b + 5b + 28 - 2b
add or subtract like terms
73 + 5b - 5b
plus 5b and minus 5b gets cancel
73
Find the value of x in the triangle .Please show work
Answers
Answer:
x=4
Step-by-step explanation:
So basically first we see the angles of this triangle, and we learn that all the angles are congruent. Only a equilateral triangle can have all angles congruent, so this must be equilateral triangle. In equilateral triangles all the sides are congruent. So we just put 5x-12=3x-4. We then solve for x and get 4.
Trong mặt phẳng tọa độ Oxy , cho vectơ a = ( -3;4) . Độ dài vectơ a bằng bao nhiêu
Answers
Answer:
Step-by-step explanation:
Độ dài vecto a= căn bậc hai của (-3)*(-3)+4*4=5
Answer:
5
Step-by-step explanation:
he tables represent two linear functions in a system.
A 2 column table with 5 rows. The first column, x, has the entries, negative 6, negative 3, 0, 3. The second column, y, has the entries, negative 22, negative 10, 2, 14. A 2 column table with 5 rows. The first column, x, has the entries, negative 6, negative 3, 0, 3. The second column, y, has the entries, negative 30, negative 21, negative 12, negative 3.
What is the solution to this system?
(negative StartFraction 13 over 3 EndFraction, negative 25)
(negative StartFraction 14 over 3 EndFraction, negative 54)
(–13, –50)
(–14, –54)
Answers
Answer:
8-22 is the answer ok thanks
which functions have a range of.. SELECT MORE THAN 1
Answers
Answer:
The 3rd and the 5th
Step-by-step explanation:
The graphs of the 3rd and the 5th functions are straight lines
The 1st and 2nd are parabolas
The 4th is an exponential
You must look at the graph: it shall include all the real values for the y coordinate
Help please!!!!!!!!!!!!!!!!!!!!
Answers
9514 1404 393
Answer:
(c) The solution -6 is an extraneous solution
Step-by-step explanation:
If you solve the equation graphically, you can avoid extraneous solutions. The true solution is x = -1.
You can tell from the equation that the domain will be restricted to values of x that make the radical non-negative:
x+4 ≥ 0 ⇒ x ≥ -4
Then x=-6 must be an extraneous solution. It arises when the negative square root is used.
__
The conventional solution method has you square both sides and solve the resulting quadratic.
(x +4)² = x +10
x² +7x +6 = 0
(x +6)(x +1) = 0 ⇒ x = -6 or -1
The solution x=-6 is not in the domain, so is extraneous.
__
Additional comment
Graphical solution is often easier if the equation is in the form f(x) = 0. That form can be had by subtracting one side of the equation from both sides. In the attached, we subtracted √(x+10) from both sides. (We added the negative branch of the square root function to show where the extraneous root comes from.)
Which expression is represented by the model?
Answers
Answer:
X+3
Step-by-step explanation:
I did the test
find the value of x and y
Answers
58-14= 44
44+58= 102
180-102= 78
78/2=39
Y=39
Answer:
x = 58
y = 39
Step-by-step explanation:
x = 58 (Vertically opposite angles)
x + 2y + (x-14) = 180 (Angles in a straight line)
=> x + 2y + x - 14 = 180
=> 2x + 2y = 180 + 14
=> 2(58) + 2y = 194
=> 116 + 2y = 194
=> 2y = 194 - 116
=> 2y = 78
=> y = 78/2
=> y = 39
2020 people formed a line. In one move, you are allowed to exchange the positions of two people, separated by one other person. Can you always sort the people form tallest to shortest using these moves?
Answers
Answer:
yes you CAN you can use the descending to ascending formular but on people in which they might be a mixup of tallest and shortest
No, it is not always possible to sort the people from tallest to shortest using these moves.
Suppose there are four people in the line with heights A, B, C, and D, where A is the tallest and D is the shortest.
The initial order is A-B-C-D.
In each move, we can only exchange the positions of two people separated by one other person.
However, no matter how many moves we make, we cannot change the relative order of A and D since they are separated by two other people.
Thus, it is not possible to sort the people from tallest to shortest using these moves.
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In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠Q ≅ ___
Answers
Answer: Choice A. [tex]\angle T[/tex]
Explanation:
Notice how letters Q and T are in the middle of the sequences of PQR and STR respectively. This means the angles correspond.
Because the triangles are congruent, this means the corresponding pieces are congruent. Therefore, angle Q and angle T are the same measure.
As you can see, the order matters when it comes to forming congruence statements. Something like [tex]\triangle PQR \cong \triangle STR[/tex] is slightly different from [tex]\triangle PQR \cong \triangle SRT[/tex]
Congruent triangles have all corresponding measurements like angles and side lengths congruent. The completed statement would be ∠Q ≅ ∠T (Option A: ∠T)
What are congruent triangles?Suppose it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written matters.
For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.
Thus, we get:
[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D[/tex] (small m shows we're taking about measurement) (both the statements are equivalent)[tex]\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E[/tex][tex]\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F[/tex][tex]\rm |AB| = |DE| \: \: or \: \: AB \cong DE[/tex][tex]\rm |AC| = |DF| \: \: or \: \: AC \cong DF[/tex][tex]\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex](|AB| denotes length of line segment AB, and so on for others).
For this case, we have: ΔPQR ≅ ΔSTR
Thus, we have:
[tex]\angle Q = \angle T[/tex]
Thus, the completed statement would be ∠Q ≅ ∠T. (Option A: ∠T)
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The ages of five children in a family are 6, 1, 3, 10, and 17. Which statement is true for this group of data?
mode>mean
median>mean
median=mode
mean>median
Answers
Answer:D - mean>median
Step-by-step explanation:
There are no repeating variables to have a mode so median and mean are the only options. The mean of this data set is 7.4 and the median is 6. Therefore mean greater than median
what number can be add to
[tex] {9x}^{2} + 24x[/tex]
to make it a perfect square
•∆•
Answers
The required number will be 16
the expression will be like :
[tex]9 {x}^{2} + 24x + 16[/tex][tex](3x) {}^{2} + (2 \times 3x \times 4) + (4) {}^{2} [/tex][tex](3x + 4) {}^{2} [/tex]hope it helps you cap !!
Anti - Venom
Using the net below, find the surface area of the pyramid. 6 cm 7 cm Surface Area - [?] cm2
Answers
Answer:
120 cm²
Step-by-step explanation:
Surface area of the pyramid = area of the 4 triangles + area of the square
✔️Area of the 4 triangles = 4(½*b*h)
b = 6 cm
h = 7 cm
Area = 4(½*6*7)
= 4(3*7)
= 4(21)
= 84 cm²
✔️Area of the square = s²
s = 6 cm
Area = 6² = 36 cm²
✅Surface area of the pyramid = 84 + 36 = 120 cm²
Can someone help I don’t understand the question
Answers
Answer:
36x
Step-by-step explanation:
OF= 6x (given radius of circle)
OB=OF+FB
= 6x +6x(given OF=FB)
= 12x
Angle D= angle B and angle O= 60°( given arc EF is 60°)
D + B + O= 180° ( sum of angles in a triangle)
x + x + 60= 180° ( let the value of remaining angles be x and D= B)
2x= 180 -60
x = 120/2
x= 60°
now, triangle DOB is a equilateral triangle because all angles are equal.
so, OB=DB=OD= 12x ( all sides are equal in equilateral triangle)
so,
perimeter of DOB= OB+DB+OD
= 12x+12x+12x
= 36x
follow me if this was helpful
The Happy Platter orders corn tortillas and flourtortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 2 : 3. What is the ratio of the number of flour tortillas to the total number of tortillas? Write your ratio 2 ways.
Answers
Answer:
One was to write this ratio is lets say you where ordering 100 Happy Platters this mean you would get 200 corn and 300 flour.
another way is lets say you got a Happy Platter and split it in half with some one else you would get 1 corn and 1.5 flour
Please help me ASAP
Answers
Answer:
no
Step-by-step explanation:
no
Anyone know the answer to this question ?
Answers
Answer:
4.35
Step-by-step explanation:
(1 * 0.35) + (2 * 0.2) + (5 * 0.1) + (8 * 0.2) + (10 * 0.15) = 4.35
Write an equation of a line that passes through (3, -1) and is perpendicular to y = 6x - 4. Show work.
I NEED THIS FAST
Answers
Answer:
y = -1/6x - 1/2
Step-by-step explanation:
y = -1/6x + b
-1 = -1/6(3) + b
-1 = -1/2 + b
-1/2 = b
If the cos of an angle is .75, what is the csc?
A. 1/√(5)
B. 9/√(6)
C. 6/√(2)
D. 3/√(9)
E. 4/√(7)
F. 2/√(3)
Answers
Answer: Choice E. 4/sqrt(7)
This is the same as writing [tex]\frac{4}{\sqrt{7}}[/tex]
=================================================
Explanation:
0.75 = 3/4
Recall that cosine is the ratio of adjacent over hypotenuse.
That means if cos(theta) = 3/4, then the adjacent is 3 units and the hypotenuse is 4 units.
Through the pythagorean theorem, we would then find that
a^2+b^2 = c^2
a = sqrt(c^2 - b^2)
a = sqrt(4^2 - 3^2)
a = sqrt(7)
This is the opposite side of reference angle theta.
From here, we can say
csc(angle) = hypotenuse/opposite
csc(theta) = 4/sqrt(7)
which points to choice E as the final answer.
Can i get some help with this!
Answers
I think you've got it, I don't know man.
weight of three boys is 25 kg 28 kg and 31 kg respectively. Find the average weight of the boys.
a. 25kg
b. 27kg
c. 28kg
d. 26kg
please hurry!!
Answers
Answer:
C)
Step-by-step explanation:
Find the total sum
25+28= 53
53+31=84
Fimd the average by dividing by 3
84/3= 28
Hence, the answer is c
Answer:
c. 28kg
Step-by-step explanation:
28+25+31 = 84
84/3 = 28kg
If xy= 180 and HCF (x,y) = 3, then find the LCM (x,y)
tell the answer of LCM (x,y)
Answers
Answer:
Step-by-step explanation:
LCM×HCF= Product
LCM×3=180
LCM=180/3=60
Help is appreciated:)
Answers
Answer:
252 in^3
Step-by-step explanation:
7*3*12 = 252
252*.04 = $10.08