Given parameters:
Number of equally sized slices = 10
Red slices = 2
Yellow slices = 4
Blue slices = 4
Unknown:
Probability that the dial stops on a red or yellow color =?
Solution:
Probability is the likelihood of an event to occur.
Probability = [tex]\frac{Possible outcome }{Total outcome}[/tex]
This probability cites a mutually exclusive event because if the dial stops on red, it cannot be on yellow.
Pr(red or yellow) = Pr(red) + Pr(Yellow)
= [tex]\frac{2}{10}[/tex] + [tex]\frac{4}{10}[/tex]
= [tex]\frac{6}{10}[/tex]
= [tex]\frac{3}{5}[/tex]
The probability of red or yellow is [tex]\frac{3}{5}[/tex]
Gina made 9{,}350 \text{ mL}9,350 mL9, comma, 350, start text, space, m, L, end text of chicken noodle soup. She packed 1.8 \text{ L}1.8 L1, point, 8, start text, space, L, end text of the soup in her kids' lunches. She froze the rest of the soup. How many milliliters of soup did Gina have left to freeze? \text{mL}mL
Answer:
[tex]Frozen\ Soup = 7550mL[/tex]
Step-by-step explanation:
Given
[tex]Soup = 9,350mL[/tex]
[tex]Packed = 1.8L[/tex]
Required
Determine the frozen soup
This is calculated as thus:
[tex]Frozen\ Soup = 9,350mL - 1.8L[/tex]
Convert 1.8L to mL
[tex]Frozen\ Soup = 9,350mL - 1.8 * 1000mL[/tex]
[tex]Frozen\ Soup = 9,350mL - 1,800mL[/tex]
[tex]Frozen\ Soup = 7550mL[/tex]
Simplify the following expression:
2x − 2y + 5z − 2x − y + 3z NEED HELP PLZ :(
A x − 3y + 8z
B 2x − 2y + 8z
C 3y + 8z
D−3y + 8z
Answer:
D) -3y + 8z
Step-by-step explanation:
2x - 2y + 5z - 2x - y + 3z
first, group the same variables together.
2x - 2x - 2y - y + 5z + 3z
then, this step which I don't have a name for.
2x - 2x = 0x.
-2y - y = -3y
5z + 3z = 8z
0x - 3y + 8z
or, -3y + 8z
If LMN=XYZ, which congruences are true by CPCTC?
Answer: this is how you do it
Step-by-step explanation:
For example if you have a function f(x) = x - 1, then x = 1 is a zero of this function because using it as x gives 1 - 1 = 0. The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.
What is the solution to the inequality 5.25 – b ≥ 6.5?
Answer:
A
Step-by-step explanation: got it right on edge
(12x – 13) m
(7x + 2) m
(2x + 17) m
E
Answer:
x = 3
Step-by-step explanation:
Since the 3 angles in the triangle are equal, then the triangle is equilateral.
Thus the 3 sides are congruent.
Equate any 2 of the sides and solve for x, that is
12x - 13 = 7x + 2 ( subtract 7x from both sides )
5x - 13 = 2 ( add 13 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
3) Car A and B travel in opposite directions. Both cars leave the same location at the same time. Car A is traveling west at a speed of 10 mph more than Car B, which is headed east. Find the speed of Car A if the two cars are 300 miles apart after traveling 3 hours. Chart is optional. Include units in your answer. *
Let, speed of car B is -x.
So, speed of car A is x + 10.
Relative speed of A w.r.t B is ,
[tex]v_{ab}=(x+10)-(-x)\\\\v_{ab}=2x+10\ mph[/tex]
So, time taken by A to travel 300 miles relative to B given by 3 hours .
[tex]v_{ab}=2x+10\\\\\dfrac{300}{3}=2x+10\\\\x = 45 \ mph[/tex]
Therefore, speed of car A is 45 + 10 = 55 mph.
Hence, this is the required solution.
Which equation represents a linear function that has a slope of 4/5 and a y-intercept of -6?
a. y=-6x+ 4/5
b. y=4/5x-6
c. y=4/5x+6
d. y=6x+ 4/5
Simplify: 45÷3+2×8-12+42
Show working
The value of y varies directly with x. When y=2 4/7, x=3/7 .
What is the value of y when x is 2/7 ?
A. 1 5/7
B. 2 /37
C. 3 1/7
D. 3 4/7
Answer:
1 5/7
Step-by-step explanation:
I literally just took the test so yeah
Answer:
I think the answer is 2 3/7. because you are decreasing 1/7.
Step-by-step explanation:
Write the inverse of the function.
f(x) = x2 + 7
[tex]f(x) = {x}^{2} + 7 [/tex]
[tex]y = {x}^{2} + 7 [/tex]
Subtract the sides of the equation minus 7
[tex]y - 7 = {x}^{2} [/tex]
Take the square root of both sides of the equation
[tex]x = \sqrt{y - 7} [/tex]
So ;
[tex] {f}^{ - 1}(x) = \sqrt{x - 7} [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
hhhheeeellllpppppp pls
Answer:
3rd one 1000 times greater
Step-by-step explanation:
first you make 10^9 into 1000000000 then you make 10^6 into 1000000 then you divide them both and you get 1000
In the data set #1 {75,95,80,65,85}, what is the range
Answer:
The range is 30
Step-by-step explanation:
The range is the biggest number which is 95 subtracted from the smallest one 65 which is 30
Helppppppppp????????
Answer:
esxrdctfvgbyhunijmkhn;bygitvcrfydxtesjtfhctryrx6
Step-by-step explanation:
Below, you are given the 2012 value of a product and the rate at which the value is expected to change during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the year. (Let t = 12 represent 2012.) 2012 Value Rate $48,000 $2200 decrease per year
Answer:
[tex]y = 48000 - 2200x[/tex] --- equation
[tex]y = 37000[/tex] --- value at 5th year
Step-by-step explanation:
Given
[tex]Value = \$48000[/tex]
[tex]Rate = \$2200[/tex] decrease
Required
Determine the linear equation
Determine the value at the 5th year
Represent years with x.
If the rate in 1 year is 2200,
in x years, it'll be 2200x (decrement)
So, the value (y) at x years is.
[tex]y = 48000 - 2200x[/tex]
The value at the 5th year is when x = 5.
So, we have:
[tex]y = 48000 - 2200 * 5[/tex]
[tex]y = 48000 - 11000[/tex]
[tex]y = 37000[/tex]
A line has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is
.
Answer:
y = 2 x - 6
the second answer is
y + 6 = 2 (x - 0)
Step-by-step explanation:
HELP!!! RIGHT NOW!! Please solve the problem as soon as possible!
Answer:
The domain is continuous and the weight y of x identical hardcover books
Step-by-step explanation:
Discrete means non continuous data. This is continuous and equal so the domain is continuous.
Also, precipitation each week can vary so that won't work. Eating carrots each day can also vary so that doesn't work. The cost of an item can vary almost every day! So that is not true.
Therefore it is the last one, because it is identical and all of the coordinates make (1,3).
Hope this helps! :)
the distance between the two points (-6, 1) and (-4, 5). Round to the nearest tenth.
Answer:
d = 4.5
Step-by-step explanation:
d = [tex]\sqrt{\s(x2-x1)^{2} +(y2-y1)^{2}}[/tex]
d = [tex]\sqrt{(-4+6)^2+(1-5)^2}[/tex]
d = 4.5
what is the answer for x+7=2(x-15)
Answer:
x=37 Hope this helped <3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+7=2(x−15)
x+7=(2)(x)+(2)(−15)(Distribute)
x+7=2x+−30
x+7=2x−30
Step 2: Subtract 2x from both sides.
x+7−2x=2x−30−2x
−x+7=−30
Step 3: Subtract 7 from both sides.
−x+7−7=−30−7
−x=−37
Step 4: Divide both sides by -1
Answer:
[tex]\boxed {x = 37}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]x + 7 = 2(x - 15)[/tex]
-Use Distributive Property:
[tex]x + 7 = 2(x - 15)[/tex]
[tex]x + 7 = 2x - 30[/tex]
-Take [tex]2x[/tex] and subtract it from [tex]x[/tex]:
[tex]x + 7 - 2x = 2x - 2x - 30[/tex]
[tex]-x + 7 = -30[/tex]
-Subtract [tex]7[/tex] to both sides:
[tex]-x + 7 - 7 = -30 - 7[/tex]
[tex]-x = -37[/tex]
-Divide both sides by [tex]-1[/tex]:
[tex]\frac{-x}{-1} = \frac{-37}{-1}[/tex]
[tex]\boxed {x = 37}[/tex]
So, the value of [tex]x[/tex] is [tex]37[/tex].
Write the equation of the line that passes through the point (4, 3) and has a slope of
5/4.
y = 5/4x + 17
y = 5/4x - 2
y = 5/4x - 8
y = 5/4x + 1/4
please help pleeaasssee
Answer:
10
Step-by-step explanation:
just do 4-18 and u get the answer
PLEASE HELP Identify and solve the inequality that
represents how many $20 bills, n , you can withdraw from the account without
going below the minimum balance. Current amount $320.00 minimum $100.00
you can withdraw 11 times before it reaches the minimum of $100
V = 1/3 πr^2h
Pls help
whats the answer to 5(x−2)+3x−4= 38
Answer:
x = 6.5
Step-by-step explanation:
5(x−2)+3x−4= 38
5 times x, 5 times -2 =
5x - 10 + 3x - 4 = 38
Combine like terms
5x + 3x = 8x
8x - 10 - 4 = 38
Add 10
8x -10 +10 -4 = 38 +10 =
8x -4 = 48
Add 4
8x -4 +4 = 48 +4
8x = 52
Divide by 8
8x/8 = 52/8 =
x = 6.5
suppose you take the small prism and stack it on top of the larger prism. what will be the volume of the composite figure?
Solve the equation (leave your answer as an improper fraction)
x-2/3=-2
Answer:
x = -2 + 2/3
= -6/3 + 2/3
= -4/3
Hailey cuts a 7-inch square piece of plywood for a birdhouse. She rotates the piece 90° counterclockwise. What is the length in inches of each side of the piece of plywood after the rotation?
Can someone please help me ASAP!!
Answer:
[tex]\huge\boxed{7\ \text{inches}}[/tex]
Step-by-step explanation:
As I mentioned earlier with a single side (line), rotations do not change the size of something. Only dilations do that. This goes for both lines AND shapes.
However, if the question said she dilated the piece, then yes, the length in inches would be different. However, rotation just changes the position and nothing happens to the length.
Hope this helped!
(62 points) Jim makes $5 an hour at the surf shop. His boss gives him a one time bonus of $50. Sarah makes $8 an hour at the clothes store. Her boss gives her a one time bonus of $14. After how many hours will their paychecks be the same?
Answer:
12 hours
Step-by-step explanation:
So we know that Jim makes $5 an hour and was given a one time bonus of $50. Using the information given, we can make the expression:
5h + 50
to represent how much Jim makes in h hours.
Now we also know that Sarah makes $8 an hour and was given a one time bonus of $14. Using this information, we can make the expression:
8h + 14
to represent how much Sarah makes in h hours.
Now to find how many hours it will take for their paychecks to be the same, we have to set the two expressions equal to each other and solve for h:
8h + 14 = 5h + 50
Now solve for h. Subtract 5h from both sides.
3h + 14 = 50
Subtract 14 from both sides.
3h = 36
Divide both sides by 3.
h = 12
So it will take 12 hours for their paychecks to be the same.
I hope you find my answer and explanation to be helpful. Happy studying.
42 divided by -6+5 show step by step
Answer:
17
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
42/-6+5
-7+5 = -2
A 7-kg bag of apples for $10
Answer:
0.7 kg = $1
Step-by-step explanation:
7 kg - $10
? kg - $1
7 / 10 = 0.7
0.7 kg = $1
Let me know if I did something wrong :)
Answer:
7:10
Step-by-step explanation:
I do not know if this is a ratio problem but if this is than the answer is 7:10
A test has a mean of 80 with a standard deviation of 4. Which of the following scores is within one standard deviation of the mean?
A
75
B
77
С
BO
D
90
E
09
Answer:
B
Step-by-step explanation:
Mathematically, we shall be using the z-score here
Z-score = (x-mean)/SD
From the question, mean = 80 and SD = 4
So we want to get the option in the question that has a z-score of 1 or below
Let’s look at 75
80-75 = 5 ( this is clearly above 1 standard deviation of 4)
For 77;
80 -77 = 3
This is less than the standard deviation of 4, meaning it is within 1 standard deviation of the mean
Option B) is correct.
Step-by-step explanation:
Given :
Mean [tex](\mu)[/tex] = 80
Standard Deviation [tex](\sigma)[/tex] = 4
Calculation :
We have to find the score that would be 1 deviation from the mean. Which means, the interval [tex](\mu-\sigma, \mu+\sigma)[/tex]
[tex]\mu-\sigma = 80-4=76[/tex]
[tex]\mu+\sigma =80+4=84[/tex]
The interval is (76,84)
Therefore, option B) is correct.
For more information, refer the link given below
https://brainly.com/question/23907081?referrer=searchResults
