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Explanation:
We'll involve the nCr combination formula here. This is because order doesn't matter.
There are n = 13 diamonds and we want to select exactly r = 3 of them.
So,
[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{13} C _{3} = \frac{13!}{3!*(13-3)!}\\\\_{13} C _{3} = \frac{13!}{3!*10!}\\\\_{13} C _{3} = \frac{13*12*11*10!}{3!*10!}\\\\_{13} C _{3} = \frac{13*12*11}{3!}\\\\_{13} C _{3} = \frac{13*12*11}{3*2*1}\\\\_{13} C _{3} = \frac{1716}{6}\\\\_{13} C _{3} = 286\\\\[/tex]
There are 286 ways to pick the three diamond cards. Then there are 52-13 = 39 ways to pick the fourth card that is either a spade, club of heart.
So we have 286*39 = 11,154 ways to pick the four cards given the conditions your teacher set.
This is out of 52C4 = 270,725 ways to pick four cards (use the nCr formula above with n = 52 and r = 4).
Divide the two values to get the answer:
(11,154)/(270,725) = 0.04120048019208
that rounds to 0.04 which converts to 4%
So there's roughly a 4% chance of getting exactly 3 diamond cards.
Answer:
4% (four percent)
if x= 3-2^2 then find the value of x^2+1÷x^2
X = 3-2^2
Simplify x:
3-4 = -1
X = -1
Replace x in the equation and solve:
(-1) ^2 + 1 /(-1)^2
(-1)^2 = 1
Simplify to get 1 + 1/1 = 1+ 1 = 2
The answer = 2
The equation which represents x, the width of the border is 2(8-2x) + 2(4- 2x) – 18. What is the width of the border?
oft
ft
1 ft
3 ft
Answer:
mumu and a pink one is a little it is a little bit of time with my family and then we are just getting back to talk with you and I will be in attendance and how to write an email to all you need the money to pay for the understanding that I have
Help please help 50 points!!!!! no links or i will report if you know how to solve just answeer pllllease !!
Answer:
39.6 degrees
Step-by-step explanation:
There are 176 baseball answers out of 1600
There are 360 degrees in a circle
Multiply the fraction of baseball responses by the degrees in a circle
176/1600 * 360
198/5
39.6 degrees
A water pail in your backyard has a small hole in it. You notice that it has drained a total of 2.5 liters in 4 days. What is the average change in water volume each day?
Answer:
0.625 liters
Step-by-step explanation:
Given data
volume drained= 2.5Liters
Time= 4 days
Now the if 4 days leakage will produce a volume of 2.5Liters
Then 1 day will produce a volume of x liters
cross multiply
4x= 2.5
x= 2.5/4
x= 0.625 liters per day
Hence, each day will produce 0.625 liters
Please help fast for question A and B I’d appreciate it
Step-by-step explanation:
a) Since the precision of the ruler is 1 mm, the uncertainty associated with this ruler is +-0.5mm. So the tire tread has a depth of 7.0 mm +- 0.5mm. The amount of tire thread that has worn off is
11.2 mm - (7.0 mm +- 0.5 mm) = 4.2 +- 0.5 mm
b) The tire thread can anywhere between 3.1 mm and 3.5 mm. Since the lower limit has gone below the legal limit of 3.2 mm, it's time to change the tire.
Find the median of the data.
Length (cm) of fish in tank:
7, 2, 1, 4, 5, 2, 3
Median: [?] cr
Answer:
Step-by-step explanation:
1,2,2,3,4,5,7
Median is 3
The median of 7, 2, 1, 4, 5, 2, and 3 stand 3 because when the numbers stand to put in order (1,2,2,3,4,5,7), the number 2 stands in the middle.
What is median?
The median stands for the middle value in a list ranked from smallest to largest. The mode stands for the most frequently occurring value on the list. The middle number; exists found by collecting all data points and choosing out the one in the middle (or if there exist two middle numbers, taking the mean of those two numbers).
Illustration: The median of 4, 1, and 7 stand 4 because when the numbers stand to put in order (1, 4, 7), the number 4 stands in the middle.
The given data: 7, 2, 1, 4, 5, 2, 3
The median of 7, 2, 1, 4, 5, 2, and 3 stand 3 because when the numbers stand to put in order (1,2,2,3,4,5,7), the number 2 stands in the middle.
Therefore, the Median is 3.
To learn more about median
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A business purchases a computer system for $3,000. The value of the
system decreases at a rate of 15% per year. What is the computer system
value after 5 years?
Answer: $6335.76
Step-by-step explanation:
you would do 3,000 times 105% = 3450
then you would do 3450 times 105% = 3967.5 then you would do 3967.5 times 105% = 4562.62 then you would do 4562.62 times 105% = 5247.01 next you would do 5247.01 times 105% = 6034.06 finally you would do 6034.06 times 105% = 6335.76
A(n) _______ is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
Answer: Algebraic Expression *-* :)))))) Hope your day is well!!!
"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can be used to indicate the logical syntax's order of operations and other features.
"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
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On a coordinate plane, a line goes through points (0, 1) and (3, 0). Y = one-half x minus 1.
Identify the slope of the graphed line:
Identify the y-intercept of the graphed line:
Identify the slope of the line given by the equation:
Identify the y-intercept of the line given by the equation:
Answer:
Step-by-step explanation:
1. -1/2
2. -1
3. -1/2
4. -1
Answer:
Identify the slope of the graphed line: -1/3
Identify the y-intercept of the graphed line: 1
Identify the slope of the line given by the equation: 1/2
Identify the y-intercept of the line given by the equation: -1
Step-by-step explanation:
the other person is wrong i got a 100 on my assignment its correct on edge 2021 hope this helps!!
for each type of division problem, decide if the quotient is positive or negative
complete the statement
Answer:
positive divided by positive = positive
negative divided by positive = negative
positive divided by negative = negative
negative divided by negative = positive
Step-by-step explanation:
Examples;
8 ÷ 2 = 4
-8 ÷ 2 = -4
8 ÷ -2 = -4
-8 ÷ -2 = 4
You can try these on a calculator
1. positive
2. negative
3. negative
4. positive
What is quotient?The number resulting from the division of one number by another.
The given quotient can be positive or negative can be decide by the facts given below:
1) positive divided by positive = positive
2) negative divided by positive = negative
3) positive divided by negative = negative
4) negative divided by negative = positive
Examples;
16÷ 4 = 4-6 ÷ 2 = -310 ÷ -2 = -5-10 ÷ -5 = 2Learn more about quotient here:
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Eli is following this recipe to bake bread rolls.
He uses 600 mL of water.
How much of the other ingredients does he use?
Recipe: Makes 10 bread rolls
600 g flour
9 g salt
12 g yeast
30 mL oil
500 mL water
Answer:
flour 720 g
salt 10.8 g
yeast 14.4 g
oil 36 ml
water 600 ml
Step-by-step explanation:
600 ml - 500 ml = 100 ml = 20% more
Set up ratios to determine 20% of each ingredient and add to the original amount.
Example:
20%/100% = x ml/30 ml
20x30÷100=6
So, for oil, you need 30 ml + 6 ml = 36 ml
6 ml = 20% more
A rectangle has a length of 30 and A diagonal that measures 34. What is the width of the rectangle? (Round your answer to the nearest tenth)
Answer:
45.34
Step-by-step explanation:
you have to use the pythagorean theorem
Pls, help me with this geometry question.
Answer:
x=45 degree
Step-by-step explanation:
x+135=180 degree (0pposite angles of a inscribed quadilateral in a circle are supplement of eaach other)
x=180-135
x=45 degree
Some angles are shown. Complete each of the 2 activities for this Task. Activity 1 of 2 The measure of angle NOP is 140°. Which of these equations could be used to find the measure of angle NOQ? A. 23+x=140 B. x−23=140 C. 23×x=140 D. 140÷23=x Activity 2 of 2 What is the measure, in degrees, of angle NOQ?
Answer:
A. 23+x=140
Step-by-step explanation:
The angle addition postulate states that the measure of a larger angle formed by two or more smaller angles placed side by side is the the sum of the smaller angles. The angle addition postulate states that if B is in the interior of AOC , then:
m∠AOB + m∠BOC = m∠AOC.
From the image:
∠NOP = ∠NOQ + ∠QOP
∠NOP = 140, ∠NOQ = x, ∠QOP = 23
substituting:
140 = x + 23
x = 140 - 23 = 117
∠NOQ = 117°
In a triangular prism area of rectangular surface is twice the area of traingular surface if tsa 3000. Find the area of triangular surface
Answer:
375
Step-by-step explanation:
Applying,
Total surface area of the triangular prism = 3×Area of the rectangular surface + 2×area of the triangular surface
Assuming the triangular base is an equilateral triangle
A = 3A'+2B.................... Equation 1
Where A = Total surface area of the prism, A' = Area of the rectangular surface, B = Area of the triangular base.
From the question,
IF A' = 2B,
Given: A = 3000
Substitute these values into equation 1
3000 = 3(2B)+2B
3000 = 6B+2B
3000 = 8B
8B = 3000
B = 3000/8
B = 375
What is the length of b?
Estimate 28 x 31 x 3
Answer:
2604
Step-by-step explanation:
Answer:
2600 as a estimate but it is 2604
Step-by-step explanation:
Which pairs of angles in the figure below are vertical angles?
Check all that apply
Answer:
[see below]
Step-by-step explanation:
Vertical angles are simply opposite angles that are made from intersecting lines.
The most appropriate pairs would be vertical pairs:
∠NSI and ∠TSW
∠NST and ∠ISW
The angles are opposite of each other and formed from the two lines.
Hope this helps.
if two polygons are similar, what is the length of SR
A. 13
B. 15
C. 28
D. 32
determine the slope between -2,6 3,4
Taxi A charges a fee of $3.50, plus $1.75 per mile. Taxi B charges a few of $1.25, plus $2.00 per mile. At what distance would the taxi cost the same?
Left parenthesis 5 plus 2 square root of 6 right parenthesis squared = a plus b square root of 6 then the value of a and b are
Answer:
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.
Step-by-step explanation:
The statement is equivalent to the following mathematic expression:
[tex]\left(5 + 2\sqrt{2})^{2} = a + b\cdot \sqrt{6}[/tex] (1)
By definition of the perfect square trinomial:
[tex]25 + 20\cdot \sqrt{2} + 8 = a + b\cdot \sqrt{6}[/tex]
[tex]33 + 20\sqrt{2} = a + b\cdot \sqrt{6}[/tex]
And by direct comparison we have the following system:
[tex]a = 33[/tex] (2)
[tex]b\cdot \sqrt{6} = 20\sqrt{2}[/tex] (3)
By (3), we solve for [tex]b[/tex]:
[tex]b = \frac{20}{\sqrt{3}}[/tex]
[tex]b = \frac{20\sqrt{3}}{3}[/tex]
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.
which expression is equivalent to 2x^(2)+11x+5
Answer:
(x + 5)(2x + 1)
Step-by-step explanation:
Given
2x² + 11x + 5
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 5 = + 10 and sum = + 11
The factors are + 10 and + 1
Use these factors to split the x- term
2x² + 10x + x + 5 ( factor the first/second and third/fourth terms )
= 2x(x + 5) + 1 (x + 5) ← factor out (x + 5 from each term
= (x + 5)(2x + 1) ← in factored form
Can someone help please (‘:
Answer:
exponent is -3, ceofficiant is 4
(d)
Mandy gets 6 out of every 8 questions on a test correct. If she gets 27 questions correct, how many questions are on the test?
Answer:
36
Step-by-step explanation:
She gets 6 question right for every 8 question that means a ratio of 6/8 which is equal to 3/4
so we can say the ratio multiplied by the number of questions equals the correct answers
while x is the number of questions:
solve for x
3/4 * x = 27
x = 27 / (2/3) = 36
Please someone help i'm struggling with this work!
Answer:
5es7tc6fz8s5exf UFO zd5d 3azyfxf6f,a3
Step-by-step explanation:
It is abe
PLEASE ANSWER QUICKLY! WILL MARK YOU BRAINLIEST IF CORRECT!!! Find x. Round your answer to the nearest integer,
O A. 20
ОО
B. 19
O C. 15
O D. 12
Answer:
x = 15
Step-by-step explanation:
sin = opp/hyp
sin37 = x / 25
Multiply both sides by 25
25 * sin37 = x
Use calculator
15.045375578801207 = x
Rounded
x = 15
D
Step-by-step explanation:
the answer is 12
if we add 25+12 =37
if we subtract 37-25 =12
How many four digit numbers cannot be divided by 5?
Answer:
2556
Step-by-step explanation:
The point-slope form of the equation of a line that passes through points (8. 4) and (0, 2) is y-4 = (x-8). What
is the slope-intercept form of the equation for this line?
O y= 2 x - 12
O y=-x-4
o y=+*+2
O y=x+6
Answer:
answer y=x-4
Step-by-step explanation:
slope intercept from is y=mx+b
m=slope b=y intercept
convert current equation to slope intercept
y-4=x-8
add 4 to both sides
y=-x-4
SOMEONE PLEASE HELP ME!!!!
Answer:
Step-by-step explanation:
scale factor=17/36