Step-by-step explanation:
The numical sum of probabilities P(A) and P(B) = 4/7+1/7 = 5/7
Events A and B cannot be complementary because complementary events have their probabilities add up to exactly one.
Since P(A)+P(B)=5/7, A and B cannot be complementary.
what is the square of 5.5?
Answer:
30.25
Step-by-step explanation:
Answer: 2.345
Step-by-step explanation:
The square root of 5.5 is 2.345.
Please help me match these formulas . :)
Answer:
1. equilateral triangle
2. rectangle
3. circle area
4. trapezoid
5. circle circumference
6. parallelogram
7. regular polygon
8. triangle
Hope that helps.
Sam has a collection of yellow and red cards. Yellow cards are worth 3 points and
red cards are worth 5 points. He has at most 15 cards, totaling at least 45 points.
This can be modeled by the following system.
y + r < 15
3y + 5r > 45
Graph the system. Then use the graph to determine which combination is a
solution.
1. 3 yellow and 9 red
2. 6 yellow and 4 red
3. 9 yellow and 3 red
4. 12 yellow and 8 red
Answer:1.
1. 3 yellow and 9 red
Step-by-step explanation:
r, the amount of red cards, is represented ox x-axisy, the amount of yellow cards, is represented ox y-axisIn the picture attached, the system is represented. The darker area shows all the points that are a solution to the system of inequalities.
The combinations can be rewritten as a coordinate pair, as follows:
1. 3 yellow and 9 red -> (9,3)
2. 6 yellow and 4 red -> (4,6)
3. 9 yellow and 3 red -> (3,9)
4. 12 yellow and 8 red -> (8,12)
As we can see in the picture, only the first option is a solution.
This graph shows how the length of time a canoe is rented is related to the rental cost. What is the rate of change shown in the graph? A. $3/hour B. 3 hours/dollar C. $6/hour D. 6 hours/dollar
Answer:
what is the answer?
Step-by-step explanation:
Answer:
C. $6/hour
Step-by-step explanation:
AP3X
What is the solution to the equation √x^2+2x-25=√x+5 x = –6 x = 5 x = 6, x = –5 x = –6, x = 5
Answer:
x = 5, -6
Step-by-step explanation:
Step 1: Write out equation
x² + 2x - 25 = x + 5
Step 2: Move everything to one side
x² + x - 30 = 0
Step 3: Factor
(x - 5)(x + 6) = 0
Step 4: Find roots
x - 5 = 0
x = 5
x + 6 = 0
x = -6
Which situation shows a constant rate of change? A. The number of points scored in a basketball game compared with the number of minutes played. B. The height of a monkey swinging from branch to branch over time. C. the height of a bouncing ball over time. D. The amount a person pays for gas compared with the number of gallons purchased.
Answer: D
Step-by-step explanation:
A constant rate of change means that for every x, y increases the same amount.
In the situation "The amount a person pays for gas compared with the number of gallons purchased ," the independent quantity, or x-value, is the number of gallons, and the dependent quantity, or y-value, is the amount paid. Since gas has a set price per gallon, for every gallon purchased, the total amount paid goes up the same amount. This means it has a constant rate of change.
Need help with trig problem in pic
Answer:
a) [tex]cos(\alpha)=-\frac{3}{5}\\[/tex]
b) [tex]\sin(\beta)= \frac{\sqrt{3} }{2}[/tex]
c) [tex]\frac{4+3\sqrt{3} }{10}\\[/tex]
d) [tex]\alpha\approx 53.1^o[/tex]
Step-by-step explanation:
a) The problem tells us that angle [tex]\alpha[/tex] is in the second quadrant. We know that in that quadrant the cosine is negative.
We can use the Pythagorean identity:
[tex]tan^2(\alpha)+1=sec^2(\alpha)\\(-\frac{4}{3})^2 +1=sec^2(\alpha)\\sec^2(\alpha)=\frac{16}{9} +1\\sec^2(\alpha)=\frac{25}{9} \\sec(\alpha) =+/- \frac{5}{3}\\cos(\alpha)=+/- \frac{3}{5}[/tex]
Where we have used that the secant of an angle is the reciprocal of the cos of the angle.
Since we know that the cosine must be negative because the angle is in the second quadrant, then we take the negative answer:
[tex]cos(\alpha)=-\frac{3}{5}[/tex]
b) This angle is in the first quadrant (where the sine function is positive. They give us the value of the cosine of the angle, so we can use the Pythagorean identity to find the value of the sine of that angle:
[tex]cos (\beta)=\frac{1}{2} \\\\sin^2(\beta)=1-cos^2(\beta)\\sin^2(\beta)=1-\frac{1}{4} \\\\sin^2(\beta)=\frac{3}{4} \\sin(\beta)=+/- \frac{\sqrt{3} }{2} \\sin(\beta)= \frac{\sqrt{3} }{2}[/tex]
where we took the positive value, since we know that the angle is in the first quadrant.
c) We can now find [tex]sin(\alpha -\beta)[/tex] by using the identity:
[tex]sin(\alpha -\beta)=sin(\alpha)\,cos(\beta)-cos(\alpha)\,sin(\beta)\\[/tex]
Notice that we need to find [tex]sin(\alpha)[/tex], which we do via the Pythagorean identity and knowing the value of the cosine found in part a) above:
[tex]sin(\alpha)=\sqrt{1-cos^2(\alpha)} \\sin(\alpha)=\sqrt{1-\frac{9}{25} )} \\sin(\alpha)=\sqrt{\frac{16}{25} )} \\sin(\alpha)=\frac{4}{5}[/tex]
Then:
[tex]sin(\alpha -\beta)=\frac{4}{5}\,\frac{1}{2} -(-\frac{3}{5}) \,\frac{\sqrt{3} }{2} \\sin(\alpha -\beta)=\frac{2}{5}+\frac{3\sqrt{3} }{10}=\frac{4+3\sqrt{3} }{10}[/tex]
d)
Since [tex]sin(\alpha)=\frac{4}{5}[/tex]
then [tex]\alpha=arcsin(\frac{4}{5} )\approx 53.1^o[/tex]
Then determine which answer
On a piece of paper, graph f(x) =
(x if x < 1
11 if x 2 1
choice matches the graph you drew.
The required graph of the function f(x) = {x when x < 1; 1 when x ≥ 1} has been shown.
As mentioned in the question we have to sketch the graph of the function f(x) = {x when x < 1; 1 when x ≥ 1}.
Since the given function is the piece vice function.
The graph of the piece vice function is will be the function y = x for range x < 1, and y = 1 for x greater equal to 1.
Thus, the required graph of the function f(x) = {x when x < 1; 1 when x ≥ 1} has been shown.
Learn more about piece-wise function here:
https://brainly.com/question/16984860
#SPJ7
HURRY I NEED HELP for 20 points
Beginning at the origin, how far do you travel along the y-axis when plotting the point below? (6, 12)
Answer:
the answer is 12
Step-by-step explanation:
because (6, 12) x axis is 6, and the 12 is the y axis. Meaning that you would go 12 along the y axis.
Answer:
I believe the answer is 12
please help i dont understand it
30 POINTS
Answer:
0.16 P(Yellow or Brown)=0.16
Answer: 0.44
Step-by-step explanation:
0.4 + 0.28 = 0.68
1.00 - 0.68 = 0.32
0.32 divided by 2.0 = 0.16
Total answer is 0.44
GLAD TO HELP:)
HAVE A NICE DAY!
BTW: I WAS DOING A TEST, BUT TOOK MY TIME TO HELP YOU! :)
PLEASE BRAINLEST ME!
Create a table of values for the function f(x) = (1/3)^–x
Answer:
See the explanation
Step-by-step explanation:
The function given to us is:
f(x) = (1/3)⁻ˣ
We can convert the negative power into positive one by interchanging the numerator and denominator.
f(x) = (3/1)ˣ
f(x) = 3ˣ
Substitute value for x= -3 , -2, -1, 0, 1, 2, 3
f(-3) = 3⁻³ = 0.037
f(-2) = 3⁻² = 0.111
f(-1) = 3⁻¹ = 0.333
f(0) = 3⁰ = 1
f(1) = 3¹ = 3
f(2) = 3² = 9
f(3) = 3³ = 27
f(4) = 3⁴ = 81
and so on
The table of the found values of f(x) or y for the corresponding values of x, along with their graph is given below.
Help help please.....Thanks
Hey there! :)
Answer:
56.7 kg.
Step-by-step explanation:
Use the density formula to solve for the mass:
D = m/V.
Rearrange in terms of mass, or 'm':
DV = m.
Solve for the volume:
0.06 × 0.9 × 1.5 = 0.081 m³.
Plug this into the equation along with the density:
700 × 0.081 = 56.7 kg.
arrange these numbers in order of size from smallest to largest 15.36 15.07 51.9 5.8 5.62 5.07 brainliest
Answer:
5.07, 5.62, 5.8, 15.07, 15.36, 51.9
Answer:
answer is 5.7,5.8,5.62,15.07,15.36,51.9
1
If one serving contains 90 calories, how many calories are in 4ź servings?
O a. 202.5 calories
b. 20 calories
OC. 405 calories
O d. 810 calories
Answer:
Re-Write The Question
Step-by-step explanation:
(Unexplainable)
The trisectors of angles $B$ and $C$ of scalene triangle $ABC$ meet at points $P$ and $Q$, as shown. Angle $A$ measures 39 degrees and angle $QBP$ measures 14 degrees. What is the measure of angle $BPC$?
Answer:
BPC=52 degreees
Step-by-step explanation:
ROWAN IS CHEAT
Answer:
133 degrees
Step-by-step explanation:
I saw this answer in the comments and it is correct.
I NEED HELP ASAP!!!! WILL MARK BRAINLIEST
Answer: 5x + 1
Step-by-step explanation:
f(x) - g(x)
(3x + 2) - (-2x + 1) Here you distribute the negative sign to (-2x + 1)
3x + 2 + 2x - 1 Here you combine like terms
5x + 1 This is the answer.
Find the volume of the prism shown. Use Cavalieri’s principle. ANSWERS: 336 cm3 2,696 cm3 1,084 cm3 164 cm3
Answer:
336 cm3
Step-by-step explanation:
Using Cavalieri’s principle, this volume is the same as for a right rectangular prism with these dimensions. Apply the formula for volume of a rectangular prism:
V = lwh
V = (6)(4)(14)
V = 336 cm3
Please help me with this problem
Answer:
A- 30,968 + 31,211
Step-by-step explanation:
Since 62,179 minus 31,211 is equal to 30968, 30968 plus 31,211 can be used to help check the answer for 62,179 minus 31,211.
30 points, high school geometry question.
Answer:
2.6
Step-by-step explanation:
4.6/6.8 = CD/3.8
CD = 2.6
Answer:
2.6
Step-by-step explanation:
it shoudl be 2.6 i think. since the ratios should be the same i think. so 3.8/6.8*4.6
correct me if i'm wrong please. looks like khan accademy. good luck!
Prove that 3(x+1)(x+7)-(2x+5) ^2 is never positive
Answer:
Step-by-step explanation:
It will never be positive becasue there is a negitive sign in the equation. negitives overule positives. Therefor it will never be positive.
Use the indicated x-values on the graph of y = f(x) to find the following.
Find intervals over which the graph is concave down. (Consider only the interval (a,h). Enter your answer using only interval notation.)
Answer:
(a,c) ∪ (f, g)
Step-by-step explanation:
The function is:
concave down in the intervals: (a,c) and (f, g)concave up in the intervals: (c, f) and (h, g)Draw the slope of the tangent lines of several points on the curve,
if the slope increases, the segment is concave upif the slope decreases, the segment is concave down.10 + 3² - 6 = 7 10 11 13
Answer:
13
Step-by-step explanation:
Evaluate 3² then add and subtract, that is
10 + 3² - 6
= 10 + 9 - 6
= 19 - 6
= 13
Please help answer this question Minni has to buy stickers, erasers, and a pencil. She can only spend $4. A sticker costs $0.35, an eraser costs $0.99, and a pencil costs $0.59. Can Minni buy 2 stickers and 2 erasers? [Use the inequality 0.35x + 0.99y + 0.59 ≤ 4] (1 point) Select one: a. Yes, because the total will be $3.27 b. Yes, because the total will be $1.93 c. No, because the total will be $4.27 d. No, because the total will be $5.93
Answer: A
Since you already have an equation just put in how many stickers and erasers she wants to get: 0.35(2)+0.99(2)+0.59≤4.
Then you multiply: .35(2)=.70. .99(2)=1.98.
Then add: .70+1.98+.59=3.27, so yes she can since 3.27 is less than 4 so the answer is A
Answer:
A. yes, because the total will be $3.27
Step-by-step explanation:
0.35x + 0.99y + 0.59 ≤ 4
0.35(2) + 0.99(2) + 0.59 ≤ 4
0.70 + 1.98 + 0.59 ≤ 4
3.27 ≤ 4
Can you help to solve this and explain how thanks in advance
Hey there! :)
Answer:
5.
Step-by-step explanation:
The pattern of this puzzle is to take the bottom two numbers of the triangle, find the sum, then divide by the top number. For example:
8 + 4 = 12 --> 12/3 = 4.
5 + 13 = 18 --> 18/6 = 3.
9 + 5 = 14 --> 14/2 = 7.
Therefore:
14 + 6 = 20 --> 20/4 = 5. The missing number is 5.
Answer: 5
Step-by-step explanation:
a group of 12 friends want to see a movie, only 7 seats are available for the current show, they draw straws to determine who will watch the movie and who will go to a leter show. how many different groups are posssible for the current showing of the movie? a 426 b 95,040 c 792 d 33, 264
5. Solve the inequality.
-4(3-X) > 8
a. -5
b. x < -5
c. 5< x
d. x < 5
Answer:
x >5
Step-by-step explanation:
-4(3-X) > 8
Divide by -4, remembering to flip the inequality
-4/-4(3-X) < 8/-4
3-x < -2
Subtract 3 from each side
3-x-3 < -2-3
-x <-5
Divide by -1, remembering to flip the inequality
x >5
Answer:
[tex]c.[/tex] [tex]5<x[/tex]
Step-by-step explanation:
[tex]-4(3-x)>8\\3-x>-2\\-x>-5\\x>5[/tex]
Find the x-intercepts of the graph y = StartFraction 2 Over x squared EndFraction?
a.
(2, 0) and (-2,0)
c.
There are no x-intercepts
b.
(-1,0) and (1, 0)
d.
x-intercept is (3, 0)
Answer:
The answer is option c.
There are no x-intercepts
Hope this helps
Why is the domain of this function?
Answer:
Step-by-step explanation:
The answer is A
the diagonals of a square are _____ each other
Answer: d) perpendicular bisectors of
Step-by-step explanation:
Answer:
The last option. D
Step-by-step explanation:
A. incorrect
B. a square is equal with its sides
And option C is also incorrect so it will be D
"perpendicular bisectors of" with is correct because all the sides of a square at equal with eachother
the rectangle below has an area of x^2-6x-7, square meters and a width of x-7 meters.What expression represents the length of the rectangle?
Answer:
Length = (x^2-6x-7)m²/ (x-7)m
Step-by-step explanation:
let L =length
let W= width
let A = area of the rectangle.
if A = L × W
making L the subject, divide both side by W
A/W= L×W/W
therefore, L =A/W
L= (x²-6x-7)m²/(x-7)m