0.5 or 50% because there are 12 tiles and 6 are green. 6/12 probability simplifies to 1/2 = 0.5 = 50%
a what are the odds in favor of drawing a black 7 in a deck of cards?
b. What are the odds against drawing a black 7 in a deck of cards?
Answer:
a. 1/25
b. 25/1
Step-by-step explanation:
There are 2 black 7s in a deck (7 of spades and 7 of clubs). So there are 50 cards that are not black 7s.
The odds in favor of drawing a black 7 is therefore 2/50 = 1/25.
The odds against drawing a black 7 is therefore 50/2 = 25/1.
what’s the slope-intercept form of y + 3 = 4(x - 5),
Slope-intercept form is: y = mx + b
m = slope
b = y-intercept
y + 3 = 4(x - 5)
Distribute the 4
y + 3 = 4x - 20
Subtract 3 from both sides.
y = 4x - 23
Answer:
Step-by-step explanation:
Slope intercept form...
y=mx+c
where, m=slope
c=intercept
y + 3 = 4(x - 5)
Open the Brackets.
y + 3 = 4x - 20
SUBTRACT 3 FROM BOTH SIDES.
y + 3 (-3)= 4x - 20 (-3)
Take note of the signs and solve.
y = 4x - 23
4 is the slope.
-23 is the intercept.
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The table shows the blood types of 75 donors after a one-day blood drive. Based on results, what is the chance that a random donor has type A blood? Blood Type A B AB Frequency 31 33 9 2 31 33 25 75
Answer:
33
Step-by-step explanation:
I am did my diagnostic too.
The required chance of that a random donor has type A blood is given as 11/25. Option B is correct.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total blood donor = 31 + 33 + 9 + 2 = 75
Donors has type A blood = 33
Now, the chance that a random donor has type A blood,
= Donors has type A blood / Total blood donor
= 33 / 75
= 11 / 25
Thus, the required chance of that a random donor has type A blood is given as 11/25.
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What is the inverse of f(x) = 2x+ 2?
11) the difference between the product of 4 and a
number and the square of the number
Answer:
[tex]= 4x-x^2\\\\[/tex]
Step-by-step explanation:
Let the number be x;
The product of 4 and the number will be;
[tex]= 4 * x\\\\= 4x[/tex]
The the square of the number is given as;
[tex]= x^2\\[/tex]
Taking the difference of both expressions above;
[tex]= 4x-x^2\\\\[/tex]
Factor out the common term:
[tex]= x(4-x)\\\\[/tex]
Hence the difference between the product of 4 and a number and the square of the number is [tex]= 4x-x^2\\\\[/tex]
Camden drove 320 miles in 8 hours. If he continued at the same rate, how far would he travel in 7 hours?
Answer:
280 miles
Step-by-step explanation:
We want to determine what speed Camden is going first so we can find the distance. To do so, you can divide the total miles (320) by the number of hours (8) to find he is driving 40 miles per hour. Then, you can take that and multiple it by the number of hours he will drive (7) to get 280 miles. I hope this helps! :)
What is the image of T( -4,0) under the rule (x - 7, y)
Answer:
Step-by-step explanation:
I know the answer but can not create it on here sorry....A building is 1 ft from a 11-ft fence that surrounds the property. A worker wants to wash a window in the building 14 ft from the ground. He plans to place a ladder over the fence so it rests against the building. He decides he should place the ladder 9 ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need
Answer:
17.2 feet
Step-by-step explanation:
The ladder is placed 9 feet away from the fence, which is 1 foot away from the building. Therefore, the ladder is [tex]9+1=10[/tex] feet away from the building.
We know that the window is 14 feet above ground.
We now have a triangle which we need to find the hypotenuse of.
/|
/ | 14
/_|
10
To find the hypotenuse, we can use the Pythagorean Theorem. This states that [tex]a^2+b^2=c^2[/tex], where a and b are the legs of a triangle and c is the hypotenuse.
The legs are 10 and 14, so lets substitute inside the equation.
[tex]10^2 + 14^2 = c^2\\\\100+196=c^2\\\\296=c^2\\\\c = \sqrt{296}\\\\c \approx 17.2[/tex]
Hope this helped!
-3x - 9y = 18
Solve for y
Steps to solve:
-3x - 9y = 18
~Add 3x to both sides
-9y = 18 + 3x
~Divide -9 to everything
y = -1/3x - 2
Best of Luck!
Tthe diagonals of a rectangle are twice as long as the shorter sides. calculate the angle between a diagonal and a short side.
Answer:
30°
Step-by-step explanation:
Let the length of shorter side of rectangle be x units.
Therefore, length of diagonal = 2x
In order to calculate the angle between a diagonal and a short side, we need to find the sin ratio of shorter side and diagonal of rectangle.
Let the measure of angle formed between shorter side and diagonal be [tex] \theta [/tex].
[tex] \therefore \sin \: \theta = \frac{x}{2x} \\ \\ \therefore \sin \: \theta = \frac{1}{2} \\ \\\therefore\sin \: \theta = \sin \: 30 \degree \\ ( \because \: \sin \: 30 \degree = \frac{1}{2}) \\ \implies \: \huge \red{ \boxed{\therefore\theta = 30 \degree }}[/tex]
find the value of the following expression 9(-4) over -3
Answer:
Look below
Step-by-step explanation:
9(-4) is the same as 9*(-4) so it equals -36.
-36/-3=positive 12 so ye. The answer is 12
Helpppp I need to turn this in ASAP
Well, this should be a bit easy.
We can move the negative sign to the denominator:[tex] \frac{3}{-8}[/tex]
We can also multiply the entire fraction by an integer.
( I would perfer [tex] \frac{3}{-8}[/tex] as the answer)
:)
Question 10 of 10
Which of the following graphs represents the equation y = 3x + 2?
A
B
с
51% (1.6)
5+
(2.6)
5
5
1 (0, 1)
(0, 2)
(0, 2)
(-1.0)
5
5
-5
1-1,-1)
0.-2)
-5+
-5
CranbA
Answer:
You haven't attached a picture but this is what your line should look like
Step-by-step explanation:
For this equation you simply have to graph it.
First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.
Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.
Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.
Hope this helps a bit,
Flips
The value of graph of function y = 3x + 2 is shown in figure.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
The equation of line is,
y = 3x + 2
Now, The value of y - intercept of the equation is,
⇒ 2
⇒ (0, 2)
Thus, The value of graph of function y = 3x + 2 is shown in figure.
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A bonus of £2100 is shared by 10 people who work for a company. 40 percent of the bonus is shared equally between 3 managers. The rest of the bonus is shared equally between 7 salesmen. One of the salesmen say if the bonus is shared equally between all 10 people I will get 25 percent more money. Is the salesmen correct? you must show your answer.
Help me on this question and please show your working out and explain thank you
Answer:
Salesman is not correct
Step-by-step explanation:
First we calculate the share of salesman when 60 percent of bonus is shared among 7 salesmen:
Bonus Share For 7 Salesmen = (0.6)(£ 2100)
Bonus Share For 7 Salesmen = £ 1260
Now, this is equally divided among 7 salesmen:
Bonus Share of 1 Salesmen (when 60% is shared) = S₁ = £ 1260/7
S₁ = £ 180
Now, we calculate the share each salesmen get if bonus is equally divided among 10 people:
Bonus Share of 1 Salesmen (when equally shared) = S₂ = £ 2100/10
S₂ = £ 210
S₂/S₁ = £ 210/£ 180
S₂/S₁ = 1.16
S₂ = 1.16S₁
S₂ = 116% of S₁
This means that if bonus is equally divided between all 10 people then the salesman will get 16 percent more money.
Therefore, salesman is not correct
HELLLLLLLLPPPP PLEEEAAASSSSSSEEEEEE
Answer:
1 and 8 , and 4 and 8 are congruent
The rest are supplementary
Step-by-step explanation:
3x – 2y+3
3y - 2x
X=7 Y=6
In which quadrant do each of the points lie?
A. (5,-2) B. (-1, -6)
1. 1 AND 2
2. 2 And 3
3.3 and 4
4. 3 and 1
The perimeter of a rectangle is represented by the expression 2 (3x + 1) + 22.
Convert the decimal 0.9988 to a fraction
Answer:
The decimal 0.9988 to a fraction is 9988/10000
Answer:
9988
_____
10,000
Step-by-step explanation:
I got it correct on test :)))
What is 3/8 divided by 2
Hello.
3/8 divided by 2 can be put into the equation 3/8 ÷ 2/1.
You can't divide fractions, so you flip the divisor's fraction, then switch the equation to multiplication. The equation is now 3/8 × 1/2. Multiply across
--> 3 * 1
________
--> 8 * 2
Finishing the equations, we are left with 3/16. This cannot be reduced, so the final answer is 3/16
Five less than one half of a number is 18.
5 – = 18
1/2 – 5 18
x – 5 = 18
5- X = 18
Answer:
c the 3rd one
Step-by-step explanation:
hope this helps you.
What is the solution to the following equation 8x-3(2x-4)=3(x-6)
Answer:
X=30
Step-by-step explanation:
Answer:
[tex]x=-6[/tex]
Step-by-step explanation:
[tex]8x-3(2x-4) = 3(x-6)[/tex]
[tex]8x-6x+12 = 3x-18[/tex]
[tex]2x+12 = 3x-18[/tex]
[tex]2x=3x-30[/tex]
[tex]5x= -30[/tex] Divide by 5 next
[tex]x=-6[/tex]
Hope this helps, have a great day:)
In a lab, a substance is heated by 4°C each hour for 28 hours. What was the total change in temperature?
Answer:
112 difference in tempature
Step-by-step explanation:
multiply 4x28
put in order smallest to largest
cups court pint gallons ounces quarts
Answer:
ounces, cups, pints, quarts, and gallons
Step-by-step explanation:
If 13x+2=15 then 6x=?
Answer:
6x=6
Step-by-step explanation:
13x+2=15
13x=13
x=1
Answer: 6x = 6
X = 1
Step-by-step explanation:
First you need to find the value of x with the equation given.
13x = 13 (I subtracted 2 from both sides)
X = 1
Find the value of the variables in the figure to the right.
Answer:
x = 9
y = 56
Step-by-step explanation:
(3x + 7)° + (6x + 2)° = 90° (both angles are complementary)
Find the value of x using this equation
[tex] 3x + 7 + 6x + 2 = 90 [/tex]
Collect like terms
[tex] 3x + 6x + 7 + 2 = 90 [/tex]
[tex] 9x + 9 = 90 [/tex]
Subtract 9 from each side
[tex] 9x + 9 - 9 = 90 - 9 [/tex]
[tex] 9x = 81 [/tex]
Divide both sides by 9
[tex] \frac{9x}{9} = \frac{81}{9} [/tex]
[tex] x = 9 [/tex]
y° = (6x + 2)° (both angles are vertical angles. Vertical angles are equal)
Plug in the value of x to find y
y = 6(9) + 2
y = 54 + 2
y = 56
Is -5 3/8 a rational number
Answer: YES
Step-by-step explanation:
THREE WAYS TO DETERMINE:
If the number given is in integer, it is rational.
If the number given is fraction, it is rational.
If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)
----------------------------------------------------
-5 3/8
It is a fraction, which fits the second point.
So, it is rationalHope this helps!! :)
there were 96 runners to start a race. in the first half of the race, 1/4 of them dropped out. in the second half of the race, 1/6 of the remaining runners dropped out. how many runners finished the race?
Answer: 60
Step-by-step explanation: 1/4 of 96 is 24 so you subtract that and get 72. And 1/6 of 72 is 12 and you subtract that leaving you with 60 to remain.
Rewrite the following linear equaton in slope intercept form Y-5=3(x+1)
what is square root of 64?
Answer:
8
Step-by-step explanation:
8*8=64