The probability that each guest of each type m+n will receive a roll is 79.
Given that the breakfast should have consisted of three types of rolls, one each of the nut, cheese and fruit rolls, and the cook should have wrapped each of the nine rolls.
The denominator of m/n equals the total number of possible role configurations assigned to the three people. It [tex]${9 \choose 3}{6 \choose3}$[/tex] is the same as the number of ways to choose three roles out of 9 to give to the first person [tex]${9 \choose 3}$[/tex], and three rolls of 6 [tex]${6 \choose3}$[/tex]. After that, the remaining three roles have no more configurations.
The numerator is the number of ways to assign a roll of each type to each of the three people, which can be done by defining the three types of roles such as flavored x, flavored y and flavored z.
xxx, yyy, zzz
So we have to choose one x, one y and one z to give to the first person. There are 3x, 3y and 3z to choose from, resulting in 3³ combinations. Multiply that by the combinations of xs, ys and zs for the second person, which is clearly 2³ since there are two of each letter left. simplify to our fraction m / n, which is 9/70. If you add them together, you get 9 + 70 = 79.
Thus, the probability that each guest has obtained a roll of each type is m / n, where m and n are relatively prime, so m + n is 79.
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FIRST CORRECT ANSWER WILL GET BRAINLIEST
Answer:
They are parallel.
Step-by-step explanation:
They have the same slope, 7, and different y-intercepts, 4, -1/4, so they are parallel.
Levi rented a movie for $3.20 and bought a package of candy for $2.55. How much money did Levi spend in total?
$5.25
$5.50
$5.75
$6.00
The total amount of money Levi spent on renting movie and buying candy is $5.75
EquationAmount Levi rented movie = $3.20A package of candy = $2.55Total = Amount Levi rented movie + A package of candy
= $3.20 + $2.55
= $5.75
Therefore, the total money spent by Levi is $5.75
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10 points to you if you help me
and brainlyist
Answer:
Step-by-step explanation:
For the frequency distribution, count the numbers that satisfy each category.
79 to 83: 4 (81, 82, 83, 81)
84 to 88: 3 (87, 88, 86)
89 to 93: 7 (92, 93, 93, 93, 90, 90, 91)
94 to 98: 1 (97)
For the historagram, raise the bars at the bottom of the histogram to the numbers above (4, 3, 7, 1; in this order)
Noah has a summer tree-trimming business. Based on experience, Noah knows that his profit, P, in dollars, can be modelled by = −3x^2 + 150 − 1200, where x is the amount he charges per tree.
1. How much does he need to charge if he wants to break even?
2. How much does he need to charge if he wants to make a profit of $600?
He need to charge 24$ per tree if he wants to make a profit of $600.
According to statement
Noah knows that his profit, P, in dollars, are P= −3x^2 + 150 − 1200.
Now, we find the value of x when the profit is $600
Where X represent the Amount he charges per tree.
The given equation is P= −3x^2 + 150 − 1200.
Substitute the value of p is $600 in the above written equation
Then
600 = −3x^2 + 150 − 1200.
After solving the equation by a substitution method the value of X becomes
600+1200-150 = -3(x)^2
x = (1650/3)^1/2
x= 24$
it means the charge per tree is 24$.
So, He need to charge 24$ per tree if he wants to make a profit of $600.
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There are federal excise taxes on the retail price when purchasing fishing equipment. the taxes are intended to help pay for parks and conservation. what is the federal excise tax rate if there is an excise tax of $17.50 on a fishing rod and reel that has a retail price of $175?
Using proportions, it is found that the federal tax rate is of 10%.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The tax rate is the proportion that $17.50 is of $175, hence:
r = 17.50/175 = 0.1 = 10%.
The federal tax rate is of 10%.
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Find the data set that places 22.6 as an outlier.
2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9
13.6, 31.7, 25.8, 22.6, 18.9, 21.6, 30.5
20.5, 20.8, 21.6, 22.6, 23.7, 24.5, 25.1
22.6, 21.5, 23.7, 22.6, 28.9, 22.6, 20.9
The data-set that places 22.6 as an outlier is given as follows:
2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9
When a measure is considered an outlier in a data-set?A measure is considered an outlier in a data-set if it is very far from other measures, especially in these two cases:
If the measure is considerably less than the second smallest value.If the measure is considerably more than the second highest value.In this problem, he data-set that places 22.6 as an outlier is given as follows:
2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9.
The second highest value is 5.3, which is considerably less than 22.6, hence 22.6 is an outlier in the data-set.
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Arrange the tiles on both boards to find the value of x.
Board sum: 3x + (-5) = 1
What x value solves the equation?
3x - 5 = 1
X =
Answer:
3x-5=1
3x=5+1
3x=6
x=6/3
x=2
Simplify 7 1/5 5 A B C D
Answer:
C. 7
Step-by-step explanation:
The answer is 7. Use the power of a power property. To use it you have to multiply the power inside the parenthesis to the one outside of the parenthesis. 1/5 * 5 = 1. Since the power is 1, you do not need to write the power.
Hope this helps!
Study the illustration. Write the ratio
of flowers to bees. Complete the sentence.
For every 5 flowers there are _______
bees.
Answer: 6 bees
Step-by-step explanation:
The picture has 12 bees and 10 flowers. Thus, the ratio of flowers to bees is 10 to 12, which simplifies to 5 to 6.
Therefore, for every 5 flowers, there are 6 bees.
Question 4 of 5
Which values are solutions to x < 7?
OA. x= 1 and x = 6
OB. x= 8 and x = 12
OC. x = 6 and x = 12
OD. x=8 and x = -1
HELP ASP please
A swimming pool is 10 m wide and 25 m long. It is 1.2 m deep at one end and 2.2 m deep at the other end. The floor slopes uniformly from one end to the other.
a)Explain why the shape of the pool is a prism. 1.2 m
b)The pool is filled with water at a rate of 2 m³ per minute. How long will it take to fill the pool?
At a rate of 2 m³ per minute, it would take 212.5 minutes to fill this swimming pool.
The shape of the pool.Based on the information provided, we can logically deduce that the shape of this pool is a prism because it is deep (2.2 m) at one end and shallow (1.2 m) at the other end.
How to calculate the time?First of all, we would determine the volume of this swimming pool as follows:
Volume = 1/2 × (1.2 + 2.2) × 10 × 25
Volume = 1/2 × (3.4) × 250
Volume = 1.7 × 250
Volume = 425 m³.
For the time, we have:
Time = volume/rate
Time = 425/2
Time = 212.5 minutes.
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Male bullies are often: Question 5 options: below average in verbal assertiveness. above average in verbal assertiveness. above average in size. smaller than average in size.
ƒ(1) = −16 [ƒ(1)
f(n) = -29 - f(n-1)
what is f(2)=
Answer:
f(2) = -13
Step-by-step explanation:
Evaluate the given formula with the given value of the variable.
Applicationf(1) = -16 . . . . . . . . . . given
f(n) = -29 -f(n-1) . . . . given
For n = 2, we have ...
f(2) = -29 -f(2-1) = -29 -f(1) = -29 -(-16) . . . . put 2 in place of n and evaluate
f(2) = -13
At a sale, dresses were sold for 61% of their original price. If the dresses originally cost $200 each, how much did a dress cost on sale?
The new cost of the dress on sale given the original price is $122
PercentageOriginal cost = $200New cost = 61% of original price
= 61/100 × $200
= 0.61 × 200
New cost = $122
Therefore, the new cost of the dress is $122
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The population parameters that describe the y-intercept and slope of the line relating y and x, respectively, are _____. Group of answer choices B0 and B1 y and x a and b a and B
B0 AND B1 are the parameters which describes the intercept and slope of the lines.
According to statement
we have to find the parameters which describes the intercept and slopes.
Simple linear regression is a model that estimates the relationship between one independent variable and one dependent variable using a straight line. Both variables should be quantitative.
So, B0 AND B1 are the parameters which describes the intercept and slope of the lines.
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I NEED THE ANSWER TO D please provide
Answer:
y = 2/5x -4
Step-by-step explanation:
Point-Slope Form formula
y - y1 = m (x - x1)
slope = m = 2/5
(-5, -6)
y - -6 = 2/5 (x - -5)
y + 6 = 2/5x + 2
y = 2/5x - 4
patrickJMT
1. Factor and simplify: cos² xcsc² x-cos²xcot² x
Answer:
Cos² x
Step-by-step explanation:
Trigonometry:[tex]\sf Cos^2 \ x *Csc^2 \ x-Cos^2 \ x *Cot^2 \ x = Cos^2 \ x (Csc^2 \ x - Cot^2 \ x)[/tex]
[tex]\sf = Cos^2 \ x \left(\dfrac{1}{Sin^2 \ x} - \dfrac{Cos^2 \ x}{Sin^2 \ x}\right)\\\\= Cos^2 \ x \left(\dfrac{1-Cos^2 \ x}{Sin^2 \ x}\right)\\\\\boxed{\bf Indentity: \ 1 - Cos^2 \ x = Sin^2 \ x}\\\\\\= Cos^2 \ x \left(\dfrac{Sin^2 \ x}{Sin^2 \ x}\right)\\\\= Cos^2 \ x[/tex]
Find the equation of a circle centered on the origin going through the point (-5,3)
The given center and point on the circle of (0,0) and (-5, 3), respectively
gives the equation of the circle as [tex]x^{2} +y^{2} =\sqrt{34}[/tex].
The general form of the equation of the circle is presented as follows
(x - h)² + (y - k)² = r²
Where,(h, k) is the center of the circle and r is the radius of the circle
Here (h, k) is centered about the origin and the radius of the circle
Radius of the circle = √[(-5-0)² + (3-0)²]
= √(25+9)
=√34.
The equation of a circle centered on the origin going through the point (-5,3)
[tex]x^{2} +y^{2} =\sqrt{34}[/tex]
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A movie ends at 7:45 P.M. The next movie begins 50 minutes later. What time does the next movie begin?
Answer:
8:35 PM
Step-by-step explanation:
First, subtract 15 from 50.
50-15=35
Add that 15 taken from 50 to 7:45.
7:45 + 0:15 = 8:00
Add 35 to 8:00
8:00 + 0:35 = 8:35
The next movie will start at 8:35 PM.
Hope this helps!
WILL GIVE BRAINLEST!!!
Find the length of the base.
Answer:
32
Step-by-step explanation:
The length of segment AB is the average of XY and WZ.
(22 + x)/2 = 27
22 + x = 54
x = 32
The ratio of boys and girls in a class with 40 students = 3:2. If 4 new boys are added, what will be the new ratio?
Answer: 7:4
Step-by-step explanation:
40 boys and girls 3:2 = 24 boys + 16 girls
4 boys are added 28 boys + 16 girls /4 = 7:4
Answer:
7:11
Step-by-step explanation:
We know the total number of students and the ratio of boys to girls. The total for the ratio of boys and girls would be 5 (3+2). Now we can set up proportions knowing these numbers.
b = 3
g =2
t =5
Let's find out how many actual boys there are by setting up a proportion
3/5 = b/40
I will look at the denominators to find x. 5 times what gives me 40? (8). So, I will multiple the top number (numerators). Since I need to multiple the bottom number by 8 to get the number 40, I will now multiple the top number by 8 and get 24.
Now, I know how many actual boys and girls were in the original class. There were 24 boys, 16 girls (40 - 24) and 40 total students.
Now I will take this new information and apply it to the new situation. Now I have 28 boys (24 + 4) and a new total 44.
The ratio of boys to girls would not be 28: 16 or 7:4
Where is the horizontal center of mass of the entire upper extremity?
Answer:
can you tell me please
Step-by-step explanation:
nicest
What is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result? entanglement factorization interference superposition i don't know this yet.
The term for breaking a number into smaller sections and multiplying these numbers is factorization.
What is factorization?This is a common method used in math that implies breaking a big number into smaller ones and then multiplying the numbers. This multiplication should lead you to the original number.
What is an example of factorization?120 can be broken as 12 and 10, then 12 × 10 = 120
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Can some please help
Number of rooms left excluding a quarter of 140 is: 105 rooms.
What is a Quarter of a Number?A quarter is one-fourth. A quarter of a number is therefore, one-fourth of that number or 1/4 part of the number.
Therefore, number of rooms cleaned = 1/4(140) = 35.
A quarter of the 140 rooms is: 35.
Number of rooms left for cleaning in the afternoon = 140 - 35
Number of rooms left for cleaning in the afternoon = 105 rooms.
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The plane is tiled by congruent squares of side length $a$ and congruent pentagons of side lengths $a$ and $\frac{a\sqrt{2}}{2}$, as arranged in the diagram below. The percent of the plane that is enclosed by the pentagons is closest to (A) 50 (B) 52 (C) 54 (D) 56 (E) 58
The percentage of this plane that's enclosed by the pentagons is closest to: D. 56.
How to determine the percentage?Since the side of the small square is a, then the area of the tile is
given by:
Area of tiles = 9a²
Note: With an area of 9a², 4a² is covered by squares while 5a² by pentagons.
This ultimately implies that, 5/9 of the tiles are covered by pentagons and this can be expressed as a percentage as follows:
Percent = 5/9 × 100
Percent = 0.555 × 100
Percent = 55.5 ≈ 56%.
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Complete Question:
The plane is tiled by congruent squares of side length a and congruent pentagons of side lengths a and a²/a, as arranged in the diagram below. The percent of the plane that is enclosed by the pentagons is closest to (A) 50 (B) 52 (C) 54 (D) 56 (E) 58
A company makes rubber rafts. 12% of them develop cracks within the first month of operation. 27 new rafts are randomly sampled and tested, by being used for one month, under standardized conditions that mimic typical operating conditions. Calculate the probability that the number of tested rafts that develop cracks is no more than 3. Round your answer to four decimal places.
The probability that the number of tested rafts that develop cracks is no more than 3 is .00006.
The true proportion, p for the population is given to 0.12.
Thus, the mean, μ, for the sample = np = 27*0.12 = 3.24.
The sample size, n, given to us is 27.
Thus, the standard deviation, s, for the sample can be calculated using the formula, s = √{p(1 - p)}/n.
s = √{0.12(1 - 0.12)}/27 = √0.003911 = 0.0625389.
We are asked to calculate the probability that the number of tested rafts that develop cracks is no more than 3, that is, we need to calculate P(X ≤3).
P(X ≤ 3)
= P(Z ≤ {(3 - 3.24)/0.0625389) {Using the formula z = (x - μ)/s}
= P(Z ≤ -3.8376114706)
= .00006 {From table}.
Thus, the probability that the number of tested rafts that develop cracks is no more than 3 is .00006.
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how meny grams are in 6 ounces?
Answer:
170.097 grams are in 6 ounces
Answer:
170.097 g to nearest thousandth
Step-by-step explanation:
1 ounce = 28.34952 g
6 = 170.09712 g
HELPPPPPPPPPPPPP99 n
Answer:
555 meters
Step-by-step explanation:
toymaker = height/shadow
= 0.9/0.2
CN tower = height/shadow
= x/123.3
solve for x:
;[tex]\frac{0.9}{0.2} = \frac{x}{123.3} \\\\0.2(x) = (0.9)(123.3)\\0.2x = 110.97\\(\frac{10}{2} )\frac{2}{10}x = 110.97(\frac{10}{2})\\ x = 554.85[/tex]
They are all in meters, so we don't need to convert anything so rounded to the nearest meter, the answer is 555 meters
Answer: 555 m
Step-by-step explanation:
We will set up a proportion to solve.
[tex]\displaystyle \frac{\text{vertical side}}{\text{horizontal side}} \;\;\;\;\;\;\;\frac{0.9\;m}{0.2\;m} =\frac{x\;m}{123.3 \;m}[/tex]
Now we will cross multiply.
0.9 * 123.3 = 0.2 * x
110.97 = 0.2x
554.85 = x
x = 554.85
Lastly, we will round the nearest m.
554.85 ➜ 555 m
(06.04 MC)
Find the perimeter of the image below:
Answer: 39 units
Step-by-step explanation:
Using the distance formula, we get that:
[tex]PT=\sqrt{10^2 + 4^2}=\sqrt{116}\\\\TS=\sqrt{7^2 + 0^2}=7\\\\SR=\sqrt{7^2 + 1^2}=\sqrt{50}\\\\RQ=\sqrt{6^2 + 5^2}=\sqrt{61}\\\\PQ=\sqrt{2^2 + 6^2}=\sqrt{40}[/tex]
So, the perimeter is
[tex]\sqrt{116}+7+\sqrt{50}+\sqrt{61}+\sqrt{40} \approx 39[/tex]
At a community fund raiser event, bracelets cost $3 and necklaces cost $6. Complete the patterns in
the first two columns for the cost of 0, 1, 2, 3, and 4 pieces of jewelry. Write the ordered pair for the
corresponding terms in the third column. Then graph the ordered pairs.
I need to make a sequence for the cost of braclets (in dollars) and I also need to make an sequence for the cost of necklaces (in dollars)
please help :)
The sequence for the cost of bracelet in dollars = $0, $3, $6, $9 and $12.
Also the sequence for the cost of necklace is = $0, $6, $12, $18, $24.
Calculation of the various cost sequenceThe column given concerning the products contains the following amounts of products such as 0, 1, 2, 3, and 4 pieces.
Therefore to calculate the amount to be used to buy each product of bracelet and necklace in each column multiplication is carried out.
That is, 0×3, 1 ×3, 2×3, 3×3, and 4×3
which is = $0, $3, $6, $9 and $12 respectively for the bracelet.
0×6, 1 ×6, 2×6, 3×6, and 4×6
Which is = $0, $6, $12, $18, $24. respectively for the necklace.
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