[tex]6 {x}^{2} - 6x - 72 = [/tex]
[tex]6( {x}^{2} - x - 12) = [/tex]
[tex]6(x - 4)(x + 3)[/tex]
No.3 .HELP NEEDED ASAP
Part A
2 white, 5 red, 7 total
P(1st white) = 2/7
P(1st white, 2nd white) = P(1st white)*P(2nd white)
P(1st white, 2nd white) = (2/7)*(4/9)
P(1st white, 2nd white) = 8/63
Let m = 8/63
---------------
P(1st red) = 5/7
P(1st red, 2nd red) = P(1st red)*P(2nd red)
P(1st red, 2nd red) = (5/7)*(7/9)
P(1st red, 2nd red) = 5/9
Let n = 5/9 = 35/63
---------------
m+n = P(both are same color)
m+n = 8/63+35/63
m+n = 43/63
Answer: 43/63========================================
Part B
m = P(first white then red)
m = (2/7)*(5/9)
m = 10/63
n = P(first red then white)
n = (5/7)*(2/9)
n = 10/63
r = P(second bead isn't same color as first)
r = m+n
r = 10/63+10/63
r = 20/63
Answer: 20/63========================================
Part C
m = P(1st white, 2nd white)
m = (2/7)*(4/9)
m = 8/63
n = P(1st red, 2nd white)
m = (5/7)*(2/9)
m = 10/63
m+n = P(2nd is white)
m+n = 8/63+10/63
m+n = 18/63
m+n = 2/7
Answer: 2/7========================================
Part D
If we withdraw 1 white bead, but we add it back in, then the probability of selecting white has not changed on the second selection.
The same can be said if we picked a red bead as well. This is because we simply replace the red bead with a copy of some other red bead.
Nick's statement is another way of saying replacement is happening.
Answer: Truethe price of the stock decreases 45 per day for four consecutive days.what was the total change in value of the stock over 4 days of period
Answer:
stream walls by louis tomlinson on itunes
Step-by-step explanation:
What three ratios are equivalent to 5 to 2
Answer:
10:4, 15:6, 20:8
hope that helps.
The perimeter of a rectangle is 600 yards. What are the dimensions of the rectangle if the length is 30 yards more than the width?
Answer:
L=165 W=135
Step-by-step explanation:
I plugged in numbers till I found the right fit or you could use the equation P=L+W
Answer: Length of one side: 165 Width of one side: 135
Step-by-step explanation: hope this helps
when a figure translated, reflected, or rotated, what’s the same about the original figure and it’s image? what’s different
Answer:
The size of the figure is still the same, but the positioning on the coordinate grid is different.
Step-by-step explanation:
The size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.
What is reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection. The reflection equation of the new reflected graph will be y=f(x), y = f (x) given an equation, y= -f(x), y = -f (x). In other words, the function is just multiplied by 1, which results in a curve that crosses the x-axis.The size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.As, it is stated in the description that the size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.
Therefore, the size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.
Know more about reflection here:
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what is the difference between an independent variable and a dependent variable and how does the independent and dependent variables relate to a graph
Answer:
Remember, the values of both variables may change in an experiment and are recorded. The difference is that the value of the independent variable is controlled by the experimenter, while the value of the dependent variable only changes in response to the independent variable
Step-by-step explanation:
Answer:
The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.
Step-by-step explanation:
Rectangle QUAD has coordinates Q(0,0), U(0,3), A(7,3), and D(7,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0) and scale factor 6. What are the coordinates of point U '?
Answer:
22
Step-by-step explanation:
After dilation with center (0,0) and scale factor 6 new coordinates of point U are ( 0, 18).
What is dilation?" Dilation is defined as to resize the given geometrical shape with given scale factor."
Formula used
Scale factor
= (Dimensions of new shape) ÷ (Dimensions of original shape)
According to the question,
Given rectangle QUAD,
Coordinates of Q(0,0)
Coordinates of U(0,3)
Coordinates of A(7,3)
Coordinates of D(7,0)
Q'U'A'D' is the image of QUAD after a dilation with center (0,0) and scale factor 6.
New Coordinates of Q'(0,0)
New Coordinates of U'(0,18)
New Coordinates of A'(42,18)
New Coordinates of D'(42,0)
Hence, after dilation with center (0,0) and scale factor 6 new coordinates of point U are ( 0, 18).
Learn more about dilation here
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Solve the equation -5+ (-4- 2c ) = 3.
Answer:
C = -6
Step-by-step explanation:
-5+-4=-9
-9-2c=3
-9+9=0; 3+9=12
-2c=12
12/-2= -6
c = -6
3 708 000 000 in scientific notation
3,708,000,000 in scientific notation is [tex]3.708[/tex] × [tex]10^9[/tex]
ANSWER QUICKLYYY PLEASEEE
What is the surface area of the rectangular prism below?
A 79 in.2
B120 in.2
C158 in.2
Answer:
The answer is B)120
Step-by-step explanation:
Multiply 5 and 8= 40 then, multiply 3 from 40.
Punch that into a calculator and it will give you 120
In a relay race, each runner completes the circuit 9 seconds faster than the previous one. If the first athlete runs his lap in 4 minutes 37 seconds, how many minutes does it take in total for the team of 8 competitors to finish the race? Give your answer correct to the nearest minute. [Answer format: integer, no units]
Answer:
31 minutes
Step-by-step explanation:
Here, we have 8 competitors with the previous runner outrunning the present by 9 seconds
1st runner time = 4 minutes 37 seconds
2nd runner time = 4 minutes 37 seconds - 9 seconds = 4 minutes 28 seconds
3rd runner time = 4 minutes 28 seconds - 9 seconds = 4 minutes 19 seconds
4th runner time = 4 minutes 19 seconds - 9 seconds = 4 minutes 10 seconds
5th runner time = 4 minutes 10 seconds - 9 seconds = 4 minutes 1 second
6th runner time s= 4 minutes 1 second - 9 seconds = 3 minutes 52 seconds
7th runner time = 3 minutes 52 seconds - 9 seconds = 3 minutes 43 seconds
8th runner time = 3 minutes 43 seconds - 9 seconds = 3 minutes 34 seconds
The total time is the addition of all the times
For clarity sake, we shall be adding all the minutes together and all the seconds together;
That will be ;
(4 * 6) + 3 minutes + ( 34 + 43 + 52 + 1 + 10 + 19 + 28 + 37)
= 27 minutes + 224 seconds
We need to convert 224 seconds to minutes
Since 60 seconds make one minute; we have
224 - 60(3) = 3 minutes and 44 seconds
Let’s add this to the minutes we had before
That would be;
27 minutes + 3 minutes + 44 seconds
= 30 minutes 44 seconds
since 44 seconds is greater than 1/2 minute (30 seconds), we can approximate it to 1 minute
So the total time is 30 minutes + 1 minute = 31 minutes
Help will be appreciated?
Find three consecutive integers such that when three times the third is increased by the first, the result is 8 less than five times the second.
Answer:
9, 10 and 11Step-by-step explanation:
x - the smallest of three consecutive integers (the first)
x+1 - the next of three consecutive integers (the second)
x+2 - the last of three consecutive integers (the third)
3(x+2) - three times the third integer
3(x+2)+x - three times the third increased by the first
5(x+1) - five times the second tnteger
5(x+1)-8 - 8 less than five times the second
3(x + 2) + x = 5(x + 1) - 8
3x + 6 + x = 5x + 5 - 8
4x + 6 = 5x - 3
-4x -4x
6 = x - 3
x = 9
x+1 = 10
x+2 = 11
Check: 3×11+9 = 33+9 = 42, 5×10-8=50-8 = 42
.The quantities xxx and yyy are proportional.
xxx yyy
444 101010
555 12.512.512, point, 5
101010 252525
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
r =r=r, equals
Answer:
2.5
Step-by-step explanation
:khan academy
Answer:
rx is 2.5. as the cop (constant of proportionality)
dialation of a triangle use picture for question
Answer:
see explanation
Step-by-step explanation:
Assuming the dilatation is centred at the origin.
Then multiply the coordinates of each point by the scale factor, that is
(- 2, 3 ) → (- 2(2), 3(2) ) → (- 4, 6 )
(3, 4 ) → (3(2), 4(2)) → (6, 8 )
(4, - 1 ) → (4(2), - 1(2)) → (8, - 2 )
HELP PLEASE I NEED ANSWER QUICK!!!
Explain why a function is always a relation but a relation is not always a function.
Answer:
Function is always a relation because otherwise an equation could not be written about its spread behavior.
Function cannot have two ys to an x. So, a relation is not always a function.
Step-by-step explanation:
Answer:
Function is always a relation because otherwise an equation could not be written about its spread behavior.
Function cannot have two ys to an x. So, a relation is not always a function.
It is estimated that the distance traveled by each volunteer driver at the Huntington VA Medical Center is normally distributed with a mean of 50 thousand miles and a standard deviation of 12 thousand miles each year. What percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year?
Answer: 25.08%
Step-by-step explanation:
Given: Distance traveled by each volunteer driver is normally distributed.
Mean ([tex]\mu[/tex]) = 50 thousand miles
standard deviation ([tex]\sigma[/tex])= 12 thousand miles
Let X = distance traveled by each volunteer driver
Required probability : [tex]P(X<30)+P(X>60)[/tex]
[tex]=P(\dfrac{X-\mu}{\sigma}<\dfrac{30-50}{12})+P(\dfrac{X-\mu}{\sigma}>\dfrac{60-50}{12})\\\\=P(z<-1.67)+P(z>0.83)\ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\= (1-P(z<1.67))+(1-P(z<0.83)\ \ \ [P(Z<-z)=1-P(Z<z)=P(Z>z)]\\\\= 2- P(z<1.67)-P(z<0.83)\\\\= 2- 0.9525-0.7967=0.2508\ \ [\text{By p-value table}][/tex]
Hence, percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year = 25.08%
I dont understand what to do here
Answer:
x=6?
Step-by-step explanation:
it is 90 degresses
What does it take to become a boxer?
Answer:
Train your very hardest. You can't just give up on day on. Believe in yourself.
Step-by-step explanation:
What is the value of r for 16-18
Answer:
98275
Step-by-step explanation:
5=6
look at each expression. is it equivalent to "the quotient of 10 plus x and y minus 3"?
Answer:
B
Step-by-step explanation:
B
The numerator is 10 + x.
The denominator is y - 3.
First to answer gets BRAINLY!!
Answer:
the second answer
Step-by-step explanation:
Graph on the number line x >-3
^
| there’s a line under the <
graph on the number line
x < -1
there’s a line under the <
Answer:
x>-3 means that x is anywhere from -2 to any positive number... I don't know if this helps at all but it's what I got from the question ask! <3
Step-by-step explanation:
Write the converse of the following statement.
If two lines have equal slopes, then the lines are parallel.
Answer:
If two lines are parallel, then they have equal slopes.
Step-by-step explanation:
Conditional:
If two lines have equal slopes, then the lines are parallel.
Converse: switch the hypothesis and the conclusion.
Converse:
If two lines are parallel, then they have equal slopes.
Someone plz help me and plz show working out
Answer:
20y
Step-by-step explanation:
Area of rectangle = area of square
=> length * breadth = side²
=> 50y * 8y = side²
=> 400y² = side²
=> (20y)² = side²
=> 20y = side length of square
I don't understand this
Answer: m<DEA = 95° also
Step-by-step explanation: I took geometry last year and I don’t remember the exact name of the explanation but both of the angles are equal
I need help with this
Answer:
x=15
Step-by-step explanation:
4 I x-5 I +20 = 60 Distribute the 4
4x - 20 + 20 = 60 Combine like terms :
4x - 0 = 60
4x = 60 Divide:
x = 15
Check : 4 I 15 - 5 I + 20 = 60
4 I10I +20 = 60
40 + 20 = 60
60 = 60 ✔
Hope this helps :)
Answer:
x = 15Step-by-step explanation:
so simplify the first half of the equation
4x-20+20 = 60
combine like terms
4x = 60
divide both sides by 4
x = 15
I hope this helped ;D4x - 5y - z= 18
-2x - 5y -2z= 12
-2x + 5y + z = 4
Answer:
x=-4, y=0, z=-2
Step-by-step explanation:
Convert 5.4 ⋅ 10^3 to standard form.
Answer:
It's in standard form
Step-by-step explanation:
The cost of 6 1/2 kg of apples is Rs. 520. What is the rate of one kg of apples
Step-by-step explanation:
So, cost of 6.5 kg of apples is Rs. 520 and we need to find cost of one kg apples.
It can be done just by applying Unitary Method!So,
6.5 kg -- Rs. 520
1 kg -- Rs.(520/6.5) = Rs.80
So, cost of 1 kg apples is Rs.80.