The probability of selecting an M&M that is not red is 11/15.To find the probability of selecting an M&M that is not red, we need to first find the total number of M&Ms in the bag,
It is the sum of the number of M&Ms of each color: 4 + 8 + 6 + 12 = 30.
Next, we need to find the number of M&Ms that are not red, which is the sum of the number of M&Ms of all other colors: 4 + 6 + 12 = 22.
Therefore, the probability of selecting an M&M that is not red is 22/30, which can be simplified by dividing both the numerator and the denominator by 2:
22/30 = 11/15
So the probability of selecting an M&M that is not red is 11/15.
In other words, there is an 11/15 chance that the selected M&M will be blue, orange, or green, and a 4/15 chance that it will be red.It is important to note that this assumes that each M&M is equally likely to be selected, and that the bag is well-mixed so that each M&M has an equal chance of being chosen.
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Write an equation of the circle with center (4, 5) and diameter 10.
Answer:
\((x-4)^{2} + (y-5)^{2} = 25\)
Step-by-step explanation:
r = \(\frac{Diameter}{2}\)
= \(\frac{10}{2}\)
= 5
Equation of circle with location of center of circle (h, k) and radius r:
\((x-h)^{2} + (y-k)^{2} = r^{2}\)
Substituting the values of h, k and r:
\((x-4)^{2} + (y-5)^{2} = 5^{2}\)
∴\((x-4)^{2} + (y-5)^{2} = 25\)
I really really really really really really need help
Answer:y equals 11
Step-by-step explanation:
✓ 49 < V53 < V64
Evaluate the square roots of the perfect
squares.
49 = [?]
4 +7
B. +9
C. 8
D. +3
Answer:
A
Step-by-step explanation:
root of 49 is 7
as we know 7 * 7 is 49
also -7 * -7 is 49
so yeah that's the r8 answer
Mercury and Alcohol are two common liquids used in thermometers. The boiling point of MERCURY is 357 degree C, while its freezing point is -39 degree C; For ALCOHOL, the boiling point is 78 degree C and the freezing point is -80 degree C; It is required in a laboratory to make measurements which are in the region of -60 degree C. Which type of thermometer would be more suitable? (ASSET)
Answer:
Alcohol
Step-by-step explanation:
Alcohol would be more suitable for making measurements in a -60 degree laboratory, since its boiling point is 78 degrees and its freezing point is -80 degrees, meaning alcohol will not freeze in a -60 degree environment.
Mercury on the other hand, has a freezing point of -39. Thus, it will freeze in a -60 degree environment, making it not suitable for use in this laboratory.
What is there effect on the volume of a cylinder when the radius is doubled and the height is unchanged?
Answer
Explanation:
Volume of a cylinder is expressed as;
\(\text{V = }\pi r^2h\)If the radius is doubled and the height is unchanged, then;
r2 = 2r
h2 = h
Get the volume of the new cylinder
\(undefined\)Find the H.C.F. of 567 and 255 using Euclid’s division lemma.
Step-by-step explanation:
To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:
Step 1: Apply Euclid's division lemma:
Divide the larger number, 567, by the smaller number, 255, and find the remainder.
567 ÷ 255 = 2 remainder 57
Step 2: Apply Euclid's division lemma again:
Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.
255 ÷ 57 = 4 remainder 27
Step 3: Repeat the process:
Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.
57 ÷ 27 = 2 remainder 3
Step 4: Continue until we obtain a remainder of 0:
Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.
27 ÷ 3 = 9 remainder 0
Since we have obtained a remainder of 0, the process ends here.
Step 5: The H.C.F. is the last non-zero remainder:
The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.
Therefore, the H.C.F. of 567 and 255 is 3.
Marcel Park is weeding the rectangular vegetable garden. The garden has an area of 599.5 square feet. If the garden is 22 feet wide,how long is the garden? Justify your procedure!
Answer:
27.25 feet long
Explanation and Check part below
Hope this helps :)
Step-by-step explanation:
The area is 599.5 square feet and it is 22 feet wide. So in order to find the area we have to multiply the width (22 feet wide) and the legth (unknow number which will stand for "x"). Since we area multiplying the width and legth we need to do the inverse operation which is dividing. We didvide the area 599.5 by the width 22 to get 27.25 feet long.
22x = 599.5
----- -------- <------ Fraction bar/divide
22 22
x = 27.25
Check:
When a number is next to parenthesis it means to multiply the 2 numbers.
22 (27.25) = 599.5
599.5 = 599.5
True statement.
wsdbfmnsedbznvmsdbn jkcmendz jvmdsbn xzjkv,dmzb cnxrfjklserjdzcfilksdjcfiovk,dsjnifkvsjdxioglmhsrndxjkflgbnesjkdxhbnk
Answer:
0.149> 0.128
Step-by-step explanation:
Hope this helps!
HURRY PLZZZZ
Find the volumes of the three-dimensional figures. Rectangular prism: m3 Pyramid: ft3
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
The pyramid would be a pyramid-shaped design, which usually built of stone. These structures are established through oldest to youngest in several regions of the world. volume of pyramid= \(\frac{1}{3} \times base \times \ height\)A prism is 3D, approaching one another in two identical shapes. Even these types are related to as 'bases.' Its bases can be q - axis, triangle, or any other polygon, rectangles are both sides of a prism.volume of prism = \(base \times \ height\)Answer:
For the first one it is 135 (The second option)
For the second one it is 128 ( The first option)
Step-by-step explanation:
this is correct on edg!
The table shows the number of passengers that can be transported in a company's vans. How many passengers can b
transported in five vans?
Plz help
Answer: 60 passengers
Step-by-step explanation: i got it right on edge
Answer:
your answer is 60
Step-by-step explanation:
i got it correct
Which ratios correctly compare bananas to apples, as shown in the picture ( 6 apples in a circle and 1 banana in the center ) check all that apply.... Pls help
Answer:
6:1
Step-by-step explanation:
There are 6 apples t o1 banana
(This is all i can do would have been easier with picture)
how to solve -3x² + 5 < 2x - 1
−3x² + 5 = 2x −1
−3x² + 5−(2x −1) = 2x −1 −(2x −1) (Subtract 2x-1 from both sides)
−3x²−2x + 6 = 0
For this equation: a=-3, b=-2, c=6
−3x²+−2x+6=0
===> (Use quadratic formula with a=-3, b=-2, c=6)
\(\large\displaystyle\text{$\begin{gathered}\sf x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a} \end{gathered}$}\)
\(\large\displaystyle\text{$\begin{gathered}\sf x=\frac{-(-2)\pm\sqrt{(-2)^{2}-4(-3)(6) } }{2(-3)} \end{gathered}$}\)
\(\large\displaystyle\text{$\begin{gathered}\sf x=\frac{-2\pm\sqrt{76} }{-6 } \end{gathered}$}\)
\(\large\displaystyle\text{$\begin{gathered}\sf x=\frac{-1}{3}+\frac{-1}{3}\sqrt{19} \ or \ x=\frac{-1}{3}+\frac{1}{3}\sqrt{19} \end{gathered}$}\)
Check intervals in between critical points. (Test values in the intervals to see if they work.)
\(\large\displaystyle\text{$\begin{gathered}\sf x < \frac{-1}{3}+\frac{-1}{3}\sqrt{19} \ \ (Works\:in\:original\:inequality) \end{gathered}$}\)
\(\large\displaystyle\text{$\begin{gathered}\sf \frac{-1}{3}+\frac{-1}{3}\sqrt{19} < x < \frac{-1}{3}+\frac{1}{3}\sqrt{19} \ \ (Doesn't\:work\:in\:original\:inequallity) \end{gathered}$}\)
\(\large\displaystyle\text{$\begin{gathered}\sf x > \frac{-1}{3}+\frac{-1}{3}\sqrt{19} \ \ (Works\:in\:original\:inequality) \end{gathered}$}\)
\(\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{x < \frac{-1}{3}+\frac{-1}{3}\sqrt{19} \ \ or \ x > \frac{-1}{3}+\frac{1}{3}\sqrt{19} } \end{gathered}$}}}\)
Michael SpymoreThe expression 3(-2m + 5) - 6(-4m - 2) can be written in the form am + b. What is the value of a + b?
Answer: 45
Step-by-step explanation:
3(-2m + 5) -6(-4m - 2) =
-6m + 15 + 24m + 12=
18m + 27
18= a 27= b 27 + 18= 45
The value of the expression a + b is 45.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
First, we can simplify the expression using the distributive property:
3(-2m + 5) - 6(-4m - 2) = -6m + 15 + 24m + 12
Combining like terms, we get:
18m + 27
So, a = 18 and b = 27, which means:
a + b = 18 + 27 = 45
Therefore,
The value of a + b is 45.
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Can someone please explain to me how to solve these types of equations? I'm supposed to solve for x in 4^(-5x-6)=4^(9x+4)
Answer:-5/7 i think that is wrong
Step-by-step explanation:
Solve for x.6(x - 2) = 41.x=12.x=1 1/33.x= 2 2/3
The given equation is:
\(6(x-2)=4\)It is required to solve for x.
Distribute 6 into the expression in parentheses:
\(6x-12=4\)Add 12 to both sides of the equation:
\(\begin{gathered} 6x-12+12=4+12 \\ \Rightarrow6x=16 \end{gathered}\)Divide both sides of the equation by 6:
\(\begin{gathered} \frac{6x}{6}=\frac{16}{6} \\ \Rightarrow x=\frac{8}{3}=2\frac{2}{3} \end{gathered}\)Hence, the correct answer is 3) x=2 2/3.
The correct option is 3.
Three equal circles with radius r are drawn as shown, each with its centre on the circumference of the other two circles. A, B and C are the centres of the three circles. Prove that an expression for the area of the shaded region is:
A = r^2 / 2 (Pi - _/3)
The shaded region is composed of three separate circles with their centers located at A, B, and C. By the definition of a circle, the circumference of each circle is 2πr, where r is the radius. The area of a circle can be calculated by A = πr^2.
Therefore, the area of the shaded region can be calculated using the following equation:
A = (area of circle A) + (area of circle B) + (area of circle C)
A = πr^2 + πr^2 + πr^2
A = 3πr^2
However, the shaded region is also composed of three 120° central angles which have intercepted arcs of the three circles. The length of each arc is (2πr)/3. Therefore, the area of the shaded region can be calculated using the following equation:
A = (area of circle A) - (area of intercepted arcs)
A = 3πr^2 - (2πr/3)^2
A = 3πr^2 - (4πr^2/9)
A = r^2 / 2 (π - _/3)
Therefore, the expression for the area of the shaded region is A = r^2 / 2 (π - _/3).
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write a polynomial function of least degree with integral coefficients that has the given zeros imaginary
Polynomial function of least degree with integral coefficients that has the given zeros imaginary \(\\f(x) & =x^4+5 x^2-6\)
As per the given data:
\(\sqrt{6} i$\) is a zero.
Therefore \($-\sqrt{6} i$\) is also a zero.
\($(x+1),(x-1),(x-\sqrt{6} i)$\) and \($(x+\sqrt{6} i)$\) are factors
\($$\begin{aligned}f(x) & =(x+1)(x-1)(x-\sqrt{6} i)(x+\sqrt{6} i) \\& =\left(x^2-1\right)\left(x^2-(\sqrt{6} i)^2\right) \\& =\left(x^2-1\right)\left(x^2-6 i^2\right) \\& =\left(x^2-1\right)\left(x^2+6\right) \\& =x^4+6 x^2-x^2-6 \\f(x) & =x^4+5 x^2-6\end{aligned}$$\)
Therefore the polynomial function is \(\\f(x) & =x^4+5 x^2-6\)
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Write a polynomial function of least degree with integral coefficients that have the given zeros of-1, 1, and i times square root of 6.
I NEED TO KNOW WHAT THIS IS PLEASE HELP ASAP
Answer:
this is a counting template
Step-by-step explanation:
brain cells
Which expression has a value that is 6 times the value of the expression 63 – 3y?
A. 6 X 63 - 3y
B. 63 - 3y + 6
C. 63+ (6 x 3y)
D. 6 X (63 - 3y)
o
Answer:
D. 6x(63-3y)
Step-by-step explanation:
You would be multiplying
Step-by-step explanation:
You want to be very carful with the parentheses for this question.
You want to find the equation that is 6 times the value of 63 - 3y, so you want to put the equation 63 - 3y in one big parentheses.
6 x (63 - 3y)
A hotel uses an external laundry service to provide clean towels. The hotel generates 600 dirty towels a day. The laundry service picks up the dirty towels and replaces them with clean ones at regular intervals. There is a fixed charge of $81 per pickup and delivery service, in addition to the variable cost of $0.60 per towel. It costs the hotel $0.02 a day to store a dirty towel and $0.01 per day to store a clean one. how often should the hotel use the pickup-and-delivery service
the cost is lower when using the service every 10 days, the hotel should use the pickup-and-delivery service every 10 days to minimize costs.
To determine how often the hotel should use the pickup-and-delivery service, we need to compare the costs of storing the dirty towels and clean towels with the costs of the pickup-and-delivery service.
Let's calculate the costs of storing the towels:
Dirty towel storage cost per day: 600 towels x $0.02 = $12 per day
Clean towel storage cost per day: 600 towels x $0.01 = $6 per day
Next, let's calculate the costs of the pickup-and-delivery service:
Fixed charge per pickup and delivery service: $81
Variable cost per towel: 600 towels x $0.60 = $360
Now, let's compare the costs:
If the hotel uses the pickup-and-delivery service every 10 days, the total cost would be:
10 days ($12 + $6) + $81 + $360 = $267
If the hotel uses the pickup-and-delivery service every 9 days, the total cost would be:
9 days ($12 + $6) + $81 + $360 = $255
Since the cost is lower when using the service every 10 days, the hotel should use the pickup-and-delivery service every 10 days to minimize costs.
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Workout the picture below
Answer:
4 times
Step-by-step explanation:
Area of circle A
\(\pi \times {r}^{2} = area \: of \: a \: circle \\ \pi = 3.14 \\ 3.14 \times {8}^{2} \\ 3.14 \times 64 = 200.96 \: {cm}^{2} \)
Area of circle B
\(\pi\times 4 (because \: radius \: is \: the \: half \: of \: diameter) \\ 3.14 \times 4 square = 50.24\: {cm}^{2} \)
How many times larger is the area of circle A than circle B
\(200.96 \div 50.24 = 4\)
therefore circle A is 4 times larger than circle B in accordance with its area
the correct bls sequence of events for adults is:
The components of BLS include initial assessment, airway maintenance, breathing (rescue breathing; mouth-to-mouth ventilation) and chest compression.
The correct BLS (Basic Life Support) sequence of events for adults is:
1. Ensure scene safety: Check the area for potential hazards before approaching the victim.
2. Assess responsiveness: Gently tap the victim's shoulder and ask if they are okay.
3. Call for help: If the victim is unresponsive, call emergency services and request an AED (automated external defibrillator).
4. Open the airway: Tilt the victim's head back by lifting the chin to open the airway.
5. Check for breathing: Look, listen, and feel for normal breathing for no more than 10 seconds. If there's no normal breathing, start chest compressions.
6. Perform chest compressions: Place the heel of your hand in the center of the chest and push hard and fast (compress at least 2 inches deep for adults) at a rate of 100-120 compressions per minute.
7. Deliver rescue breaths: Give 2 rescue breaths by pinching the victim's nose, sealing your mouth over their mouth, and blowing air into their lungs until the chest rises.
8. Continue CPR: Follow a 30:2 ratio of compressions to breaths until emergency services arrive, an AED becomes available, or the victim starts to breathe normally.
Remember to follow these steps in the correct order to effectively perform BLS on adults.
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I don’t understand this :(
Answer:
3 < S < 17
Step-by-step explanation:
picture the 10 side as the bottom
the 7 side pivoting on the right end of the 10 leg
when it swings toward the left the shortest the third side can be is >3
when it swings to the right the longest the third side can be is <17
Es.
3
e
5. Andrew says that 60 is the greatest whole
number that rounds to 60. Is Andrew
correct? Explain your reasoning
Andrew is correct because 60 is the highest whole number that can round to 60. Any number higher than 60 will round up to a higher number. For example, 61 will round up to 70, and 62 will round up to 70. Therefore, 60 is the greatest whole number that rounds to 60.
The highest whole number is infinity, as there is no limit to how high a number can be. Whole numbers are all the numbers that are greater than or equal to 0, including 0 itself. The highest whole number is therefore infinity, as this is the highest possible number.
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392.5 cubic units
1,020.5 cubic units
486.7 cubic units
565.2 cubic units
Write 165300 in standard form
Answer:
one hundred sixty five thousand and three hundred
Step-by-step explanation:
Hey there!
\(165300\) is in standard form.
This is because it is not in scientific notation, in which it would be \(1.653 * 10^4\).
Hope it helps and have a great day!
Find the equation of the line pecified. The lope i 7, and it pae through ( 8, 6). A. Y = 7x - 50
b. Y = 14x - 50
c. Y= 7x 6
d. Y = 7x 62
That the equation of the line is y = 7x - 50.
The equation of a line with slope m passing through the point (x1, y1) is given by: y - y1 = m(x - x1).
In this case, the line has a slope of 7 and passes through (8, 6). Therefore, we can plug in the values for m, x1, and y1 into the equation above to find the desired equation.
Substituting in 7 for m, 8 for x1, and 6 for y1, we can rewrite the equation as: y - 6 = 7(x - 8).
Simplifying, we find that the equation of the line is y = 7x - 50.
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I NEED HELP!!
I'll give you 50 points and a brainlist if you figure this out, all you have to do is to Solve the following multi-step equation, and write it out
Answer:
X= -4
Step-by-step explanation:
Refer to image
If you need more xplanation just ask in the comments
Answer:
x=-4
Step-by-step explanation:
-4(x+6)=5x+12
-4x-24=5x+12
-24-12=5x+4x
9x=-36
x=-36/9=-4
Which of the following expressions are equivalent to 1 1/2. Select all that apply.
Answer:
1 2/4, 1 3/6 ,1 4/8, 1 5/10, 1 6/12 I can't see the answer choices but here are things that 1 1/2 will equal
Step-by-step explanation:
Evaluate the series 1 + 2 + 4 + 8 to S10.
The series to 10 term is
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512
What is recurrent relation?An equation that represents a sequence based on a rule is called a recurrence relation.
Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.
The term is predicted by multiplying the preceding term by 2
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