And this problem, we're trying to figure out the probability that Xerxes arrives first and Regina arrives last. Now, the first thing to note is that there are nine people. So if we list off nine different spaces, there's nine spaces and now the order in which they arrive could be any order. So for the first spot there are nine different ways that someone can show up, Anyone can show up first and then once someone has shown up first, the person who arrives second, there are eight different ways to choose that person. Similarly, the person who arrives third, there are seven people remaining, so there's seven ways to choose that and so on. And so there are actually nine factorial ways that the people can arrive to the party. Now if xerxes needs to be in the first spot and Regina needs to be in the last spot than in these remaining seven spaces, we can put any people, so there can be any ordering between xerxes and Regina. So there is seven factorial ways to order the people between xerxes and Regina. So the probability that we end up with is seven factorial divided by nine factorial. So that is seven factorial. And remember that nine factorial can be written as nine times eight times seven factorial. The seven factorial are going to cancel. We get 1/7 times eight which is equal 1/72 which is equal to approximately zero point 014 and that's it
Find the unit rate for a
7 pack of chicken
strips for $8.34.
Answer:
Around $1.19
Step-by-step explanation:
$8.34/7= $1.191428571428
The measure of the angles of a triangle are shown in the figure below. Solve for x
The 3 angles in a triangle sum up to 180° (Angle sum property of a triangle).
90° + 36° + (7x + 5)° = 180°
126 + 7x + 5 = 180
131 + 7x = 180
7x = 180 - 131
7x = 49
x = 49/7
x = 7
_____
RainbowSalt2222 ☔
Answer:
x=7
Step-by-step explanation:
The sum of the angles of a triangle are 180
90+36+ 7x+5 = 180
131+7x = 180
7x = 180-131
7x =49
Divide by 7
7x/7 = 49/7
x=7
F(x)=5x+6;g(x)=7x-2 qfjnd (f+g)(x)
Answer:
12x+4
Step-by-step explanation:
Use the given functions to set up and simplify ( f + g ) ( x )
helpppp pleaseeeee
Answer:
0.25 or 1/4
Step-by-step explanation:
12 x blank =3
12x=3
12/12=3/12
3/12=1/4
The answer is 1/4 or 0.25 :)
Answer:0.25
Step-by-step explanation:
12×0.25=3
Can a phone be 113 grams or kilograms?
Answer:
A phone can be 113g but not 113kg
[tex]\frac{x}{a} +b=c[/tex]
A solve the equation for x in terms of a,b and c
B solve the equation for b in terms of a,c and x
PLS HELP 50 POINTS DO IT BY TOMMOROW MORNNG AND ILL GIVE BRAINLIEST
Step-by-step explanation:
Solve, for x
[tex] \frac{x}{a} + b = c[/tex]
[tex] \frac{x}{a} = c - b[/tex]
[tex]x = a(c - b)[/tex]
[tex] \: [/tex]
Solve, for b
[tex] \frac{x}{a} + b = c[/tex]
[tex]b = c - \frac{x}{a} [/tex]
sloveeeeeeee plssssssssss bots are deleted
a=b, b=40
360-a-b=c*2
360-80=c*2
280=c*2
140=c
本题已由中国数学会官方解答（现有会员：3人）
Please help me !!! somebody can help me this and I'm very appreciate it
Answer:2.11 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
If AB ≅ XY and AB have a length of 12 cm, what is the measure of XY¯¯¯¯¯¯¯¯ ?
Group of answer choices
12 cm
24 cm
6 cm
8 cm
Answer:
12cm
Step-by-step explanation:
They are congruent meaning the same
Answer:
24
Step-by-step explanation:
Find the percent decrease. Round to the nearest percent.
From 86°F to 68°F
Answer:
21%
Step-by-step explanation:
To find the decrease subtract 68 from 86
86 - 68 = 18
Divide 18 by the original temperature -
18/86 = 0.209
Multiply 0.209 by 100 to find the percent -
20.9%
Round to the nearest percent -
21%
What is the value of x in the triangle?
7.73 cm
8.12 cm
23.78 cm
16.5 cm
The value of x is 23.78 cm and this can be determined by the cosine function.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Given that a right triangle. The hypotenuse is labeled as 25 centimeters. The base is x.
Using the trigonometric functions the value of x can be determined. The cosine function can be used to determine the value of 'x'.
The cosine function is the ratio of the base to the hypotenuse.
Cos 18 = base /hypotenuse
Now, put the values of the base, hypotenuse, and the angle in the equation.
Cos 18 = x / 25
x = 23.78 cm
Therefore, the correct option is c).
Learn more about trigonometric;
https://brainly.com/question/21286835
#SPJ2
n: 35 = 6:70
what is the missing terms?
Answer:
n=3
Step-by-step explanation:
Think of both these as fractions. 35 is 1/2 of 70 so n has to be half of 6
yesterday, Jack drove 40 and 1/2 miles. hey used one and 1 and 1/4 gallons of gas. what is the unit rate for miles per gallon?
9514 1404 393
Answer:
32 2/5 miles per gallon
Step-by-step explanation:
To find miles per gallon, divide miles by gallons.
(40.5 mi)/(1.25 gal) = 32.4 mi/gal
The unit rate is 32 2/5 miles per gallon.
_____
Additional comment
We assume you want the answer as a mixed number, since all of the problem numbers are given in that format.
Mark has a board that is 12 feet long he cut the board into eight pieces that are the same length how long is each pieces?
Answer:
1.5 feet long
Step-by-step explanation:
you have to do 12 ÷ 8 then...
divide until you have an amount less than the divisor left over.Insert a decimal point and a zero at the end of the dividend.Place a decimal point in the quotient above the decimal point in the dividend. Continue to divide.12.0 ÷ 8 = 1.5
the sum of 2 integers is 9. the product of the integers is 14 what are the integers
Answer:
7 and 2
Step-by-step explanation:
7 plus 2 is 9. 7 times 2 is 14.
HELP DUE IN 10 MIN DONT SPAM OR YOU WILL BE REPORTED Gina needs to cut a board to use for a project. The board is 10 feet long. She first has to cut off board. She then cuts the remaining section of board into 3 equal pieces. 1 /1 2 feet from one end of the Whirh
Answer: The answer to this problem is:
3x + 1 1/2 = 10
Step-by-step explanation:
Answer:
3x + 1 1/2 = 10
Step-by-step explanation:
Does anyone know these answers?
Answer:
B
Step-by-step explanation:
its logic is right
Answer:
Option DStep-by-step explanation:
The order of solution given below
1. 2x + 5 and 3x - 33 are equal as vertical angle measures.
Solve for x:
2x + 5 = 3x - 333x - 2x = 5 + 33x = 382. 2x + 5 and 4y - 1 are supplementary angles as they form a linear pair.
Find the value of 2x + 5:
2x + 5 = 2*38 + 5 = 76 + 5 = 81Next, 81 and 4y - 1 sum to 180:
81 + 4y - 1 = 1804y = 180 - 804y = 100y = 25The answer is:
x = 38, y = 25Correct answer choice is D
Why is it hard to do 6th grade math?
Answer:
Because 6th grade math is the abosulute worst. other than every other math above 6th grade
Step-by-step explanation:
solve the equation -2y+6=-12
Answer:
y = 9
Step-by-step explanation:
from both sides of the equation
−2+6=−12
-2y+6=-12−2y+6=−12
−2+6−6=−12−6
-2y+6
−2y+6−6=−12−6
2
Simplify
Subtract the numbers
Subtract the numbers
−2=−18
-2y=-18−2y=−18
3
Divide both sides of the equation by the same term
−2=−18
-2y=-18−2y=−18
−2−2=−18−2
-2−2−2y=−2−18
4
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=9
A shipping box, in the shape of a cube, has a volume of 2,300 cubic inches. Estimate the length of the side of the shipping box to the nearest integer.
Answer:
13 inches
Step-by-step explanation:
The volume (V) of cube is related to the edge length (s) by ...
V = s³
Then the edge length is ...
s = ∛V
For a cube with a volume of 2300 cubic inches, the edge length is ...
s = ∛(2300 in³) ≈ 13.2 in
To the nearest integer, the length of the side of the shipping box is 13 inches.
Maria has a new beaded necklace. The necklace has 3 blue beads and 57 white beads. What percentage of the beads on Maria's necklace are blue?
Answer:
5%
Step-by-step explanation:
There are 60 beads in total,
therefore 3/60 multiplied by 100 equals 5%.
5% of the beads are blue which implies 95% are white.
A cheerful teen willing to help,
who listens to "ROAR,"
stay salty,
stay positive...
The graph of the linear function f is shown in the ayplane above. The graph of the inear function g inot shown is perpendicular to the graph of fand passes through the point (1.-5) what is the value of g(-2) ?
Answer:
Step-by-step explanation:
slope of f(x) is 1/3 as y increases one unit for every three units increase in x.
Perpendicular lines have negative reciprocal slopes, so g(x) has a slope of -3
-5 = -3(1) + b
b = -2
g(x) = -3x - 2
g(-2) = -3(-2) - 2 = 4
HELP PLEASE Tonya found $2.25 in nickels and quarters in her sofa cushions. If the number of nickels Tonya found is five more than three times the number of quarters she found, what is the total number of coins Tonya found?
Please answer my question Picture above
Why nobody is answering????
Answer:
Step-by-step explanation:
1. & 2. & 3. Direct Material Quantity Variance = (Planned Quantity - ActualQuantity) * Planned Price
Planned Quantity = 18,500 pounds
Actual Quantity = 18,800 pounds
Planned Price = $2.50
Direct Material Quantity Variance = (18,500-18,800)*$2.50
= - $750
Thus, the Direct Material Quantity Variance is $750 Unfavorable(As the actual quantity used is more than planned)
Answer:
$1502300 poundslabor rate variance: $1.50 per hour (unfavorable); efficiency variance: 0.25 units/hour (favorable)Step-by-step explanation:
1. The material cost is the cost per pound multiplied by the number of pounds used.
Planned material cost: (18,500 lb)($2.50 /lb) = $46,250
Actual material cost: (18,800 lb)($2.54 /lb) = $47,752
Material cost variance: $47,752 -46,250 = $1,502 . . . (unfavorable)
__
2. The material quantity is ...
Planned: 18,500 lb
Actual: 18,800 lb
Material quantity variance: 18,800 -18,500 = 300 . . . pounds (unfavorable)
__
3. The direct labor rate is the labor cost divided by the labor hours.
Planned labor rate: $16.50 per hour
Actual labor rate: $360,000/(20,000 h) = $18.00 per hour
Labor rate variance: $18.00 -16.50 = $1.50 . . . per hour (unfavorable)
The efficiency is assumed to be measured in units per hour of labor.
Planned efficiency: (1 unit)/(0.5 h) = 2 units/h
Actual efficiency: (45,000 units)/(20,000 h) = 2.25 units/h
Efficiency variance: 2.25 -2.00 = 0.25 . . . units/h (favorable)
_____
Additional comment
Question 1 asks for the price variance, not the cost variance. The price is given in terms of dollars per pound. The variance in price per pound would be $2.54 -2.50 = $0.04 (unfavorable). We assumed the more interesting number is the cost variance, which takes into account the material quantity used.
Efficiency is usually measured in terms of useful output for a given input. For example, auto efficiency is measured in the US in terms of miles per gallon. Hence units per hour would be an appropriate efficiency measure. (Higher is better.)
In some instances, efficiency is measured in terms of the input required to obtain a given output. For example, auto efficiency is measured in metric countries in terms of liters per 100 kilometers. In that sense, the efficiency measure would be hours per unit. (Lower is better.)
what is the simplified fraction for .35?
35/100 is simplified to 7/20, giving us the final answer.
In chess, Justin won 20 games, tied 8 games, and lost 14 games last year. What is Justin’s ratio of total games to tied games?
Answer:
4/21 or 4 over 21
Step-by-step explanation:
you would add all the numbers, 20+8+14. which equals 42 then it is looking for the ratio total games to tied games so the total is 42 games and tied games 8. so this would be 8 over 42. (8/42) This would be simplified into 4/21.
What’s 4 over 5 fraction simplified
Answer:
It's already simplified to its lowest term so....
Answer: It can’t be simplified.
Step-by-step explanation:
You can simplify 4/5 since it already in its simplest form.
What is the equation in the form y=mx+b
Answer:
y=1/3x+5
Step-by-step explanation:
The slope of the line is 6-5/3-0, which is 1/3.
We are already given the y intercept; 5, so we have y=1/3x+5
Susan is planning a party. She went to Target and bought 10 cupcakes for 2.75 each, 5 gallons of ice cream for 3.50 each and a half dozen liters of coke for 1.50 each. How much did Susan spend at Target?
50 POINTS PLEASE HELP!!!!!!!!!! ALL SH!+Y ANSWERS REPORTED.
The youth group is going on a trip to the state fair. The trip costs $62. Included in that price is $14 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.
Answer:
24 is your answer
Step-by-step explanation:
My teacher graded my assignment and told me i was correct! :)
