Answer:
5/14
Step-by-step explanation:
The probability of drawing a particular coloured card is the number of cards that are that colour, divided by the total number of cards:
The probability of drawing a blue card on your first draw would be 5 out of (5 + 3) = 5/8
The next draw would be the same principle, but the denominator (bottom number of the fraction) would be 1 less, because you have just taken out 1 card on your first draw:
The probability of drawing a blue card on your second draw (after drawing a blue card first) would be 4 (since you have already taken one) out of (8 - 1) = 4 / 7
To find the probability of both these steps combined, you multiply the two fractions together:
5/8 x 4/7 = 20/56
The question asks you to simplify, which means that the final answer is 5/14
Hope this helps!
1) Given A = {1, 2, 3, 4, 5 }; B = {2,4,6,83 2,4,6,8} Find A∩B, A-B
2) Is it true to say that sin ( A+B) = -sinA + sinB
3) prove that ( tan theta - sin theta ) / ( tan theta + sin theta ) = ( sec theta - 1 ) / ( sec theta + 1 )
Answer:
A∩B = 2,4
A-B = 1,3,5
sin (A+B) = sin(A)cos(B)+cos(A)sin(B)
Step-by-step explanation:
A intersects U means the numbers that are coming to both A and U
set a minus set b of the numbers that are not common to B
multiply the numerator and the denominator by csc(x)
NOTE: I substituted x for theta as I don't have theta on my phone
[tex] \frac{ \csc(x) }{ \csc(x)} \frac{ \tan(x) - \sin(x) }{ \tan(x) + \sin(x) } = \frac{ \sec(x) - 1}{ \sec(x) + 1} [/tex]
[tex] \frac {\csc(x)}{\csc(x)} \frac {\frac ({\sin(x)}{\cos(x)}-\sin(x)} {\frac ({\sin(x)}{\cos(x)} + \sin(x)}) [/tex]
Type the integer that makes the following addition sentence true: 9 + what = 2
I believe the answer to be (-7)
Answer:
-7
Step-by-step explanation:
Step 1: Make an equation.
[tex]9 + x = 2[/tex]Step 2: Subtract 9 from both sides.
[tex]9 + x - 9 = 2 - 9[/tex] [tex]x = -7[/tex]Step 3: Check if solution is correct.
[tex]9 + (-7) = 2[/tex] [tex]9 - 7 = 2[/tex] [tex]2 = 2[/tex]Therefore, the integer that makes the addition sentence true is -7.
What is a Graphic representation of association between variables
Using the graph, determine the coordinates of the vertex of the parabola.
Answer:
The coordinates of the vertex are
(-5;-9)
Answer:
(-5, -9)
Step-by-step explanation:
Use of the coordinate plane, center of the parabola 5 to the left and down 9.
Hope this helped!
HELPPPP PLEASEEEEEEE!!!!
Answer:
Depends on the range of x
Step-by-step explanation:
Does that make sense to you
what is the slope of the line on this graph
Answer:
-1/3 is the slope for this graph
Step-by-step explanation:
-2/6
Please solve this geometry math problem... I will mark you brainliest
Complete the statement. Round to the nearest hundredth if necessary.
3 km = m
Answer:
3km=3000m
Step-by-step explanation:
if 1 km=1000m,
3 km: 3 x 1000 = 3000m
hope this helps :)
4(x6+5)=2x+10 I'm not sure what the answer is can somebody help???
Answer:
[tex]4(6x + 5) = 2x + 10 \\ 4 \times 6x + 4 \times 5 = 2x + 10 \\ 24x + 20 = 2x + 10 \\ 24x - 2x = 10 - 20 \\ 22x = - 10 \\ x = \frac{ - 10}{22} = \frac{ - 5}{11} \\ thank \: you[/tex]
Answer:
-5 / 11 or -0.455
Step-by-step explanation:
this is a very simple question that does not need much complexity about it
we have
4( 6x + 5 ) = 2x + 10
first of all, we open the bracket;
24x + 20 = 2x + 10
now, we have to collect like terms;
24x - 2x = 10 - 20
22x = -10
divide through by 22 to give us!
22x / 22 = -10 / 22
x = -5 / 11
therefore,
x = - 5 / 11
hope that helps
thank you
An art teacher has 47 1/3 pounds of clay.he wants to give each student in his class 2 1/2 pounds of clay. The teacher estimates that he has enough clay for 9 students. Is this the best estimates explain
Answer:
47 1/3 = 142 / 3 total clay
2 1/2 = 5 / 2 clay required for each student
If we divide total clay by clay per student
(142 / 3) / (5 / 2) = 284 / 15 = 18.9
So he should have enough clay for 18 students
Find the x and y intercepts
Answer:
x:(-1,0),(5,0)
y:(0,-2)
Answer:
see explanation
Step-by-step explanation:
The x- intercepts are where the graph crosses the x- axis
The graph crosses the x- axis at x = - 1 and x = 5 ← x- intercepts
The y- intercept is where the graph crosses the y- axis
The graph crosses the y- axis at - 2 ← y- intercept
Write 640 g as a fraction of 4.8 kg. Give your answer in its simplest form,
Answer:
Step-by-step explanation:
640g=640g
4.8kg=4800g
640g/4800g=2/15
The sides of a rectangle are in the ratio of 5:6. If its longer side is 7.2 in., find the shorter side, the perimeter, and the area of this rectangle. PLSSS HELP
Answer:
43.2
26.4
6
Step-by-step explanation:
so first if we know that the loger side's ratio is 6 we divided by 7.2
7.2 divided by 6 which is 1.2
so we mulitply the 5 by 1.2
so the shorter side is 6
6 x 7.2 = 43.2 is the area
14.4 + 12 = 26.4 is the perimeter
PLEASE HELP ME
I don't know how to solve this, please give me a step by step explanation on how to solve this
Find the value of x:
7x - 2 = 55 + 4x (as corresponding angles)7x - 4x = 55 + 33x = 57x = 19Find the value of y:
y = 7x - 2 (as alternate exterior angles)y = 7*19 - 2 y = 131#30Find the value of x:
14x - 34 = 9x + 1 (as alternate interior angles)14x - 9x = 1 + 345x = 35x = 7Find the value of y:
y + (9x + 1) = 90 (as complementary angles)y = 90 - 9*7 - 1y = 26Please help me solve this this math problem... I will mark you brainliest
Answer:
by congruency theorem <ACB= <DEB
so 5y-3=72
5y=72+3
5y=75
y=15⁰
Hands-on equations lesson 10
Answer:
Step-by-step explanation:uhHoAnd ghiorioghiltihlgitrghile
May I please receive help
Answer:
the slope is 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
slope of ║ line is ( - [tex]\frac{5}{4}[/tex] )
slope of ⊥ line is [tex]\frac{4}{5}[/tex]
a number between 55 and 101 that is a multiple of 3, 5, and 9.
Answer:
90
that's the only number I could think of
HELP PLEASE WILL MARK BRAINLIEST TO BEST ANSWER
Answer:
the answer is B
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
If DEKL, then M _____ F.
Choose the relationship symbol to make a true statement.
<
=
>
Answer:
MLEF
<
Step-by-step explanation:
I hope this helps...
The population of a city increases by 0.9% per year. If this year's population is 261,000, what will next year's population be, to the nearest individual?
Answer:
263349
Step-by-step explanation:
I did mental math and big brain
Solve the system by substitution.
−5x+2y=14
y=3x+2
let −5x+2y=14 be [1]
& y=3x+2 be [2]
Finding the value of x
By substituting y in [2] for y in [1]
⇒ −5x + 2(3x+2) = 14 [expand the bracket]
⇒ -5x + 6x + 4 = 14 [subract 4 from both sides and simplify]
⇒ x = 10
Finding the value of y
Since x =10, we can substitute value of x into [2]
⇒ y = 3(10) + 2
⇒ y = 32
Need help ASAP points 50
Answer:
f(-2) = -28
Step-by-step explanation:
f(x) = 12x-4
Let x = -2
f(-2) = 12(-2) -4
Multiply
= -24-4
Add
= -28
(Edmentum)
Part A Write an expression to find size of the largest jellyfish. Represent the expression in meters as a product of two numbers in scientific notation.
Answer:
The expression for the size of the largest jellyfish 1 × 108 • 2 × 10-8 meters.
Step-by-step explanation:
A jellyfish can be up to 1 × 108 times bigger than femtoplankton. Find the size of the largest jellyfish by multiplying the size of a femtoplankton by 1 × 108 times.
The size of a femtoplankton is 2 × 10-8 meter. That means the expression for the size of the largest jellyfish 1 × 108 • 2 × 10-8 meters.
If f(x)= x² + 3x –10, then over which of the following intervals is f(x) <0?
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation: (−∞,∞)
Set-Builder Notation: {x|x∈R}
f(x) is continuous on (−∞,0).
The function is continuous.
Step-by-step explanation:
Write the equation of the mine in fully simplified slope intercept form
5 ounces of potatoes produce about 20 calories. What is the unit rate in
calories per ounce?
Answer:
4 calories per ounce.
Step-by-step explanation:
20/5 = 4
2a+4=3 what is the value of a???????
Hey there!
2a + 4 = 3
ADD 4 to BOTH SIDES
2a + 4 - 4 = 3 - 4
CANCEL out: 4 - 4 because that gives you 1
KEEP: 3 - 4 because it helps solve for the a-value
2a = 3 - 4
3 - 4 = -1
2a = -1
DIVIDE 2 to BOTH SIDES
2a/2 = -1/2
CANCEL out: 2/2 because it gives you 1
KEEP: -1/2 because it gives you the value of the a-value
a = -1/2
SIMPLIFY IT!
Therefore, your answer is: a = -1/2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Kate wants to buy a new bicycle from a sporting goods store. The bicycle she wants normally sells for $750. The store has a sale where all bicycles cost25of the regular price. What is the sale price of the bicycle?
Answer:
$187.50
Step-by-step explanation:
change 25% into a decimal: 0.25
the you will multiply:
0.25 × 750 = $187.50
Graph the following Standard Form equation.
3x + 4y = 12
Answer: See my graph below
Step-by-step explanation:
should be (0,3), (4,0) but im not completely sure!!