Answer:
A.) combination
B.) 167,960 ways
C.) 58,344 ways
Step-by-step explanation:
A.)
Choosing 11 players out of 20 available is a cbinationtuon problem simply because the order of choice of the 11 players does not matter on this scenario.
B.)
Here, the coach wants to select her 11 from all available 20:
We apply the combination formula :
nCr ; where ; n = 20 ; selection, r = 11
nCr = n! / (n-r)!r!
20C11 = 20! / 9!11!
20C11 = 167,960
C.)
1 goalie 10 players
1 goalie is selected from the 3 available goalies AND 10 players from the 17 available players :
This gives :
3C1 * 17C10
3C1 = 3
17C10 = 19,448
3C1 * 17C10 = 3 * 19448
= 58,344 ways
42 is greater than 24, 24 is less than 42
Answer:
Step-by-step explanation:
42 > 24
24 < 42
Find the reciprocal of the numbers below: a. 1/3 b. 4/5 c. 7
Answer:
a. 1/3 = 3 b. 4/5 = 5/4 c. 7 = 1/7
Step-by-step explanation:
Reciprocal means switching the numerator to the denominator and the denominator to the numerator. Whenever you have a whole number, there is an imaginary 1 as the denominator that is why the reciprocal of 7 is 1/7.
Convert 3.12 mm into cm, m and km.
Step-by-step explanation:
to cm = 3.12×100 = 312
to m = 3.12×1000 = 3120
:) HOPE THIS HELPS YOU
Si 4x+2x=2, el valor de x es?
Answer:
answer is 1
Step-by-step explanation:
Answer:
[tex]x = \frac{1}{3} [/tex]
Step-by-step explanation:
Recopilar términos semejantes:
[tex]6x = 2[/tex]
Divide ambos lados de la ecuación por 6:
[tex] \frac{6x}{6} = \frac{2}{6} [/tex]
Por lo tanto, la respuesta será x = 1/3
I JUST NEED SOME HELP PLEASE!! ~0~
Find the RATIO and the EXACT VALUE of the given Tan B.
Answer:
Ratio: Tan B = 12/5
Exact value in degrees: [tex]67.38^{o}[/tex]
Step-by-step explanation:
SOH CAH TOA
Means Tan B means opposite/adjacent.
Tan B = 12/5
B = [tex]Tan^{-1} (\frac{12}{5})\\[/tex]
B = [tex]67.38^{o}[/tex]
What is x^2-24x+c
As a perfect square need this answer ASAP
When solving a system of inequalities or just an inequality (like 2-4y > 14), in what condition the sign flip to the other way?
Answer:
When the coefficient of the variable is negative, as shown below,
Step-by-step explanation:
2-4y>14
-4y>14-2
-4y>12, divde through by - 4
y>-3
Scores on the SAT Mathematics test (SAT-M) are believed to be Normally distributed with mean µ. The scores of a random sample of three students who recently took the exam are 550, 620, and 480. A 95% confidence interval for µ based on these data is
Answer:
The 95% confidence interval for µ based on these data is (408,692).
Step-by-step explanation:
Sample mean and standard deviation:
The first step to solve this question is finding the sample mean and standard deviaton.
[tex]\overline{x} = \frac{550+620+480}{3} = 550[/tex]
[tex]s = \sqrt{\frac{(550-550)^2+(620-550)^2+(480-550)^2}{3}} = 57.1548[/tex]
Confidence interval:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 3 - 1 = 2
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 2 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 4.3027
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 4.3027\frac{57.1548}{\sqrt{3}} = 142[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 550 - 142 = 408
The upper end of the interval is the sample mean added to M. So it is 550 + 142 = 692
The 95% confidence interval for µ based on these data is (408,692).
The product of four and a number, decreased by seven
Answer:
32
Step-by-step explanation:
As per what is given
- the product of 4 and a number decreased by 7 (4 times that number let us call it x, minus 7)
- equals 100, the equation formed equals 100
Form an equation;
4(x - 7) = 100
Solve using inverse operations;
4(x - 7) = 100
/4 /4
x - 7 = 25
+7 +7
x = 32
What is the value of this expression n = 5? 45/n +10
Answer:
19
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
45/5=9
9+10=19
Help me pls :/
15 points ig
Answer:
D. 17/7
Step-by-step explanation:
Let's make 2 3/7 into an improper fraction. We first multiply the 2 to 7 and then add the 3. So 2 x 7 = 14, 14 + 3 = 17. The denominator always stays the same. Therefore our answer is 17/7
Answer:
D:17/7
Step-by-step explanation:
2×3/7
=(7×2+3)/7
=17/7
Find one value of xxx that is a solution to the equation:
(2x+3)^2-6x-9=0(2x+3)
2
−6x−9=0left parenthesis, 2, x, plus, 3, right parenthesis, squared, minus, 6, x, minus, 9, equals, 0
x=x=x, equals
Answer:
-3/2
Step-by-step explanation:
Given the funtion
(2x+3)² - 6x+9 = 0
(2x+3)² = 6x + 9
Expand
4x²+12x+9 = 6x + 9
4x²+12x - 6x = 0
4x²+6x = 0
4x² = -6x
4x = -6
x = -6/4
x = -3/2
Hence the value of x is -3/2
The frequency table shows the results of a survey comparing weekly gasoline costs to the average number of miles a car can drive on a gallon of gasoline.
4-column table with 3 rows. First column has no label with entries less than 30 miles a gallon, greater than or equal to 30 miles a gallon, total. The second column is labeled less than 40 dollars a week with entries 33, 27, 60. The third column is labeled greater than or equal to 40 dollars a week with entries 77, 3, 80. The fourth column is labeled total with entries 110, 30, 140.
Marcel converts the frequency table to a conditional relative frequency table by row.
4-column table, 3 rows. First column no label with entries less than 30 miles a gallon, greater than or equal to 30 miles a gallon, total. Second column labeled less than 40 dollars a week with entries W, Y, almost equals 0.43. Third column labeled greater than or equal to 40 dollars a week with entries X, Z, almost equals 0.57. Fourth column labeled total with entries 1.0, 1.0, 1.0
Which value should he use for Y? Round to the nearest hundredth.
0.19
0.45
0.82
0.90
Answer:
D.) 0.90
Step-by-step explanation:
Doing the unit test review on EDG right now! :D
Wish you all luck~
Have a good day! :3
(Evidence: screenshot below!)
The value for Y to the nearest hundredth is 0.90; option D.
What is the value for Y?The value for Y is obtained from the data in the frequency table.
By solving for Y from the frequency table:
Y + Z = 0
Y + Z = 1.0
Either Y is 0 or Y is 1.
Therefore, Y is approximately 0.90 to the nearest hundredth.
Learn more about frequency table at: https://brainly.com/question/16148316
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Can someone check this answer before i turn it in?? don't say yes just to get points i really need to pass this
I got 3141.59 on a calculator after doublechecking but it doesn't seem right
Answer:
ya its right
Step-by-step explanation:
Solve for x (geometry)
Answer:
x = -6°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
Identify and set up
x + 81 + 65° + 40° = 180°
Step 2: Solve for x
[Addition] Combine like terms: x + 186° = 180°[Subtraction Property of Equality] Subtract 186° on both sides: x = -6°6. Write an equation that represents the
relationship “4 more than a number is 5"?
Answer:
4+x=5
Step-by-step explanation:
4+x=5
A pyramid with a slant height 4.6 in whose triangular base measures 8 in on each side.Each altitude of the base measures of 6.9 in
Answer:
82.8 in²
Step-by-step explanation:
The surface area a triangular based pyramid :
Base area + 1/2(perimeter * slant height)
Base = 8 inches ; Slant height = 4.6 inches ; altitude of base measure = 6.9 inches
Base area of triangle :
1/2 * base * height
1/2 * 8 * 6.9
4 * 6.9
Base area = 27.6 in²
The perimeter, P = sum of sides ; (s1 + s2 + s3
P = 8 + 8 + 8 = 24 in
Hence,
Surface area = 27.6 in² + 1/2(24*4.6)
Surface area = 27.6 in² + (12 * 4.6) in²
Surface area = (27.6 + 55.2)
Surface area = 82.8 in²
Please answer the pic below for Brainliest and 5 stars (If correct)
C. 17 mm and 53.5 mm
please help! I need to solve kt algebraically and if you can show your work/explain how you got the answer that would help a ton because I need that to!
Step-by-step
=> 900=-100x+300
=> -100x+300=900
=> -100x=900–300
=> -100x=600 divide both side by -100
=> x=-6
You start with 900= -100x + 300
you want to get x by itself on a side of the equation
you can do this by adding -100x to both sides of the equation
this would make it look like 900 + 100x = -100x + 100x + 300
if you simplify, you get 900 + 100x = 300
then subtract 900 on both sides to get x by itself
you will end up with 100x = -600
you divide both sides by 100 to get x by itself and you will end up with
x = -6
if you have any questions ask me and ill answer :)
the coefficient in the term 7xy is
Answer:
The coefficient is 7
Step-by-step explanation:
The coefficient of an algebraic expression is the number that is being multiplied by a variable or multiple variables. In this case, 7 is being multiplied by x and y, so 7 is the coefficient.
Need help on this question asap I would really appreciate it please
Answer:
Volume of cube = 512 inch³
Volume of sphere = 268 inch³ (Approx.)
Volume of empty space = 244 inch³
Step-by-step explanation:
Given:
Side length of cube = 8 inches
radius of sphere = 4 inches
Find:
Volume of cube
Volume of sphere
Volume of empty space
Computation:
Volume of cube = Side³
Volume of cube = 8³
Volume of cube = 512 inch³
Volume of sphere = (4/3)πr³
Volume of sphere = (4/3)(3.14)(4)³
Volume of sphere = 268 inch³ (Approx.)
Volume of empty space = Volume of cube - Volume of sphere
Volume of empty space = 512 - 268
Volume of empty space = 244 inch³
ASAP need help!!
vvvv
Answer:
Step-by-step explanation:
5 5 5 m²
You have found a house that you would like to purchase. The amount of the home is $525,000. You would like to finance the home through your local credit union but they require a 8% down payment. Determine the amount needed for the down payment so that the bank will finance the home purchase.
Answer:
4200
Step-by-step explanation:
hey! 525,000%8=42=>4200
Can someone help me please
Answer:
its the 1st answer choice/A
Step-by-step explanation:
there is 10 people who are 25-29, and 5 people 20-24, so 10+5=15 so 15 people are younger than 30
Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 24 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by V = 1 3 π r 2 h
Answer:
Step-by-step explanation:
Quadratic equation I need help
John needs 6 cups of ice cream to make 4 servings of milkshake. How many servings can John make using 3 gallons of ice cream?
Answer:
24
Step-by-step explanation:
-------- 24 --------
Hope that helps
Find the area of the triangle
Answer:
Step-by-step explanation:
area of triangle=base*height/2
=8*3/2
=24/2
=12 m^2
Select all the expressions which are equivalent to –43
4
3
p – 25
2
5
.
–43
4
3
p + 25
2
5
–25
2
5
– 43
4
3
p
43
4
3
p – 25
2
5
–43
4
3
p + (–25
2
5
)
25
2
5
+ 43
4
3
p
Answer:
–43p + (–25) is Equivalent to –43p – 25.
Step-by-step explanation:
Needed: 25 – 43p , 25 – 4 , p 3. –25p –43 , –43p + (–25)
Paisley is going to invest in an account paying an interest rate of 3.4% compounded
daily. How much would Paisley need to invest, to the nearest dollar, for the value of
the account to reach $400 in 16 years?
Answer:
232
Step-by-step explanation: