What is 7/9 x 21/10=
Answer:
1 19/30
Step-by-step explanation:
Just multiply and cross simplify
7/9 x 21/10
9 and 21 can be simplified to 3/7
7/3 x 7/10
Multiply from left to right
49/30
1 19/30
Answer: 1.63333333333
7/9 = 0.77777777777
(7/9) * 21 = 16.3333333333
((7/9) * 21)/10 = 1.63333333333
1. (12 points) The tennis team at Taft High School has 8 players, and the tennis team at McKinley High School has 7 players. Rebecca is on the team at Taft, and her sister Leah is on the team at McKinley. The two teams are going to play a tournament with 4 rounds. In each round, one player from Taft will play a match against one player from McKinley. Each player can play in at most one match. A schedule for the tournament consists of an ordered list of the names of the players from each school who will play in each of the four rounds. The schedule does not include the results of each match. (a) How many schedules are there?
Complete Question
1. (12 points) The tennis team at Taft High School has 8 players, and the tennis team at McKinley High School has 7 players. Rebecca is on the team at Taft, and her sister Leah is on the team at McKinley. The two teams are going to play a tournament with 4 rounds. In each round, one player from Taft will play a match against one player from McKinley. Each player can play in at most one match. A schedule for the tournament consists of an ordered list of the names of the players from each school who will play in each of the four rounds. The schedule does not include the results of each match.
(a) How many schedules are there?
(b) How many schedules include neither sister?
Answer:
a
[tex]N = 1,411,200[/tex]
b
[tex]M = 302, 400[/tex]
Step-by-step explanation:
From the question we are told that
The number of players in Taft High School is t = 8
The number of players in McKinley High School is k = 7
The number of rounds is n = 4
The highest number of match each player can play is w = 1
Generally the total number of schedules is
[tex]N = ^tP_4 * ^k P_4[/tex]
[tex]N = ^8P_4 * ^7 P_4[/tex]
=> [tex]N = \frac{8!}{(8-4)!} * \frac{7!}{(7-4)!}[/tex]
=> [tex]N = \frac{8!}{4!} * \frac{7!}{3!}[/tex]
=> [tex]N = \frac{8*7 *6*5*4*3*2*1}{4*3*2*1} * \frac{7*6*5*4*3*2*1}{3*2*1}[/tex]
=> [tex]N = 1,411,200[/tex]
Generally the number of schedules that include neither of the sisters is mathematically represented as
[tex]M= \ ^{t-1}P_4 *\ ^ {k-1} P_4[/tex]
[tex]M= \ ^{8-1}P_4 *\ ^ {7-1} P_4[/tex]
=> [tex]M= \ ^{7}P_4 *\ ^ {6} P_4[/tex]
=> [tex]M = \frac{7!}{(7-4)!} * \frac{6!}{(6-4)!}[/tex]
=> [tex]M = \frac{7!}{3!} * \frac{6!}{2!}[/tex]
=> [tex]M = \frac{7 *6*5*4*3*2*1}{3*2*1} * \frac{6*5*4*3*2*1}{2*1}[/tex]
=> [tex]M = 302, 400[/tex]
Recall from Intermediate Algebra that two non-vertical lines are perpendicular if and only if they have negative reciprocal slopes. That is to say, if one line has slopem1and the other has slopem2thenm1 · m2 = −1.Please note that a horizontal line is perpendicular to a vertical line and vice versa, so we assumem1 ≠ 0andm2 ≠ 0.Below, you are given a line and a point which is not on that line. Find the line perpendicular to the given line which passes through the given point.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The line is [tex]y = -4 x[/tex]
Step-by-step explanation:
From the question we are told that
The line is [tex]y = \frac{1}{4} x + 8[/tex]
The point is P(0,0 )
Generally the equation for a line is [tex]yn = mx + c[/tex]
Now comparing this with the given equation we see that
[tex]m =\frac{1}{4} = slope[/tex]
[tex]C =8 = intercept [/tex]
Generally the slope of the perpendicular to the given line is mathematically evaluated as
[tex]m_1 = - \frac{1}{m}[/tex]
=> [tex]m_1 = - \frac{1}{ \frac{1}{4}}[/tex]
=> [tex]m_1 = -4 [/tex]
Generally from the univesal equation of a line and the given point we have that
y = mx + c at p(0,0) and [tex]m_1 = -4[/tex] is
0 = -4 (0 ) + c
=> c = 0
Hence the equation perpendicular to the line given at the point given is
[tex]y = -4 x[/tex]
5. A gift box is 8 inches long, 3 inches wide
and 4 inches tall. What is the approximate
length of its longest diagonal?
A. 9.4 inches
B. 10.2 inches
C. 15 inches
D. 89 inches
You have 8 quarts of brown stock.
You need 3 cups to make one serving of braised short ribs.
How many servings can you make?
(don't include partial portions)
Answer:
you can make 10 servings
Step-by-step explanation:
Brad had 72 bargain baseballs. What is the total price for the bargain baseballs if each ball is $9
Answer:
648
Step-by-step explanation:
9 times 27
Answer:
$8.
Step-by-step explanation:
72 divided by 9
hope this helped </3
find the value of x. The answer is 53, but I need to show my work.
THANK YOU!!!
Answer:
53
Step-by-step explanation:
so first sutract the large angle from 360:
360 - 213 = 147
then subtract the other large known angle:
147 - 107 = 40
now we know the x - 13 = 40 so to find x we just have to add 13:
40 + 13 = 53
what is the value of n n+11=13
Answer:
n = 2
Step-by-step explanation:
[tex]n + 11 = 13[/tex]
Subtract 11 from both sides to isolate n.
[tex]n + 11 - 11 = 13 - 11[/tex]
[tex]n = 2[/tex]
for the inequality Y
Step-by-step explanation:
Ur qsn is so confusing can you plz rewrite it
The total dinner bill for 5 people was 55.30. How much will each person pay if they share the cost equally
Answer:
11.06
Step-by-step explanation:
55.30/5 Separate the decimals and whole numbers and divide both by 5
55/5=11 and 0.30/5=0.06
11+0.06=11.06
Answer:
11.06
Step-by-step explanation:
Bernard a part of a small pizza he started with 11/12 of a pizza but only ate 2/3 of it which is the best estimate of the amount Bernard ate?
Answer:
Bernard ate a little less than Two-thirds of the pizza.
Step-by-step explanation:
i took the test
Answer:
c 2/3
Step-by-step explanation:Bernard ate part of a small pizza. He started with StartFraction 11 Over 12 EndFraction of a pizza but only ate Two-thirds of it. Which is the best estimate of the amount Bernard ate?as u can see it said HOW many did he eat he ate 2/3 of it your welcome friend!
juan reads 300 pages in 5 days and jose reads 150 in 3 days are these reading rates equivalent
Answer:
60 pages per day.
Step-by-step explanation:
300 ÷ 5 = 60.
Please help me i will give all of my points 14
Please help i need this right now
Answer:
3 7/12
Step-by-step explanation:
True or False: 0/2=2/0
Answer:
it's true 0 divided by 2 is 0 and 2 divided by 0 is still 0
Determine the intercepts please be sure
Answer:
X= (-40, 0)
Y= ( 0, 15
Step-by-step explanation:
Goodluck :)
a turtle is moving along a straight line a constant rate it moves 2/7 of a mile 3/5 of an hour
Answer:
0.2miles at 12minutes
Question
The force needed to break a board varies inversely with its length. Richard uses 24 pounds of pressure to break a 2-foot-
long board. How many pounds of pressure is needed to break a 5-foot-long board?
Provide your answer below:
Answer:
9.6
Step-by-step explanation:
60 pounds of pressure is needed to break a 5-foot-long board,
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Richard uses 24 pounds of pressure to break a 2-foot-long board.
How many pounds of pressure is needed to break a 5-foot-long board,
we have to find.
i.e. 24/2 * 5
=12*5
=60
hence, 60 pounds of pressure is needed to break a 5-foot-long board,
To learn more on multiplication click:
brainly.com/question/5992872
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What is the conjugate and modulus of 2 – 6i?
Answer:
2 + 6i
Step-by-step explanation:
It’s the same numbers with an opposite sign
The conjugate of 2 – 6i is 2 + 6i and the modulus is [tex]\sqrt{40}[/tex]
The conjugate of a complex number a + bi is a - bi. The conjugate is gotten by changing the sign of the imaginary part of the complex number.
The modulus of a complex number a + bi is:
|a + bi| = [tex]\sqrt{a^2+b^2}[/tex]
The conjugate and modulus of 2 – 6i is:
Conjugate of 2 - 6i = 2 + 6i
|2 - 6i| = [tex]\sqrt{2^2+(-6)^2}=\sqrt{40}[/tex]
The conjugate of 2 – 6i is 2 + 6i and the modulus is [tex]\sqrt{40}[/tex]
Find out more at: https://brainly.com/question/18392150
(x+4)(x-5)+(x+4)(x-2)
Answer:
(x+4)⋅(2x−7)
Step-by-step explanation:
Combine the like terms.
Suppose a university advertises that its average class size is 32 or less. A student organization is concerned that budget cuts have led to increased class sizes and would like to test this claim. A random sample of 40 classes was selected, and the average class size was found to be 34.8 students. Assume that the standard deviation for class size at the college is 99 students. Using α=0.10, complete parts a and b below.a. Does the student organization have enough evidence to refute the college's claim?Determine the null and alternative hypotheses.Upper H 0H0:μ▼Upper H 1H1:μ▼
Answer:
a
The student does have enough evidence to refute the college claim
b
The null hypothesis is [tex]H_o : \mu \le 32[/tex]
The alternative hypothesis is [tex]H_a : \mu > 32[/tex]
Step-by-step explanation:
From the question we are told that
The average class size is [tex]\mu = 32[/tex]
The sample size is [tex]n = 40[/tex]
The sample mean is [tex]\= x = 34.8[/tex]
The standard deviation is [tex]\siigma = 99[/tex]
The significance level is [tex]\alpha = 0.10[/tex]
The null hypothesis is [tex]H_o : \mu \le 32[/tex]
The alternative hypothesis is [tex]H_a : \mu > 32[/tex]
Generally the test statistics is mathematically represented as
[tex]z =\frac{\= x - \mu}{ \frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]z = \frac{34.8 - 32}{ \frac{99 }{\sqrt{99} } }[/tex]
=> [tex]z = 0.1789 [/tex]
Generally the p-value is mathematically represented as
[tex]p- value = P (Z > 0.1789)[/tex]
From the z- table
[tex] P (Z > 0.1789) =0.42901 [/tex]
So
[tex]p- value = 0.42901 [/tex]
So from the calculation we can see that [tex]p- value > \alpha[/tex] so we fail to reject the null hypothesis
This means that the student does not have enough evidence to refute the college claim
HURRY HELP ME select ALL the correct answers
A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour. which complex fraction represents the unit rate in miles per hour?
Pls help me 8th grade math pls solve all the problems correctly
Answer:
A.$12
B.$4.5
C.4.5$ per game + 12$
Step-by-step explanation:
It shows the first payment being 12$ so A is 12$
then it goes up to 16.5$ so
16.5-12= 4.5$
So 4.5$ per game.
C. 4.5$ per game + 12$
Simplify.
6 ( to the power of 2 )+4 ( to the power of 2
12
20
52
100
Answer:
6 times 6 = 12 + 4 times 4 = 16 so 12 + 16 =28
Step-by-step explanation:
Negative seven is less than negative six.
True or False
Answer:
true
Step-by-step explanation:
negatives keep getting smaller and smaller
Answer:
false
Step-by-step explanation:
negative 6 is bigger because its closer to a whole number (integer which is bigger) so it has more value
15.03 cm, 14.92 cm, and 15.30 cm. The actual length is 15cm. Which of the following would be most accurate?
FIRST TO ANSWER GETS BRAINLIEST!!!
Answer:
14.92 ^-^
Step-by-step explanation:
Simplify.
2 ( to the power of 3)+4⋅8
40
80
96
160
Answer:
2 to the power of 3 is 8 so
8 + 4.8 = 12.8
Step-by-step explanation:
PLEASEE HELP ME I DID THE FIRST BUR NEED HELP WITH THE OTHERS JM BEING TIMED
Answer:
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Step-by-step explanation:
fjkngsdngjkngsknjb.kxnb vncx gbjfx,cnm cfjgjg.kfdontjdgklbvj.bzexpectbdfjskbhsljhelpdsfjlzbjbdzjwhen ndsjbdjzsbfzjsyouncsjdlafbjlcant njdfslabgahelpvmxnzkznf,anyonenjsdflfnSLelsendjzlknjidiotnjdflzngjlznloser fdsalfhjlzgbdhjlzfbglj
Find the distance and midpoint between the pair of points. A(-1, 0), B(2, -4)
Answer:
distance is 5
midpoint is (1/2,-2)
Step-by-step explanation:
If y= 44 when x=240, what is the value of y when x=84?
A bag contains the following marbles: 5 black , 15 blue, 20 brown , and 10 green . What is the ratio of the green marbles to bkue marbles ? Express your ratio as a fraction or with a colon
Answer: 1:3:4:2
Step-by-step explanation: Cause it is :D
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