Answer:
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the students are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
7 seniors, from a set of 7.
3 juniors, from a set of 10. So
[tex]D = C_{7,7} \times C_{10,3} = \frac{7!}{7!(7-7)!} \times \frac{10!}{3!(10-3)&} = 1 \times 120 = 120[/tex]
Total outcomes:
10 students froms a set of 50. so
[tex]T = C_{50,10} = \frac{50!}{10!(50-10)!} = 10272278170[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{120}{10272278170} \approx 0[/tex]
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
The measure of Angle D is
degrees.
O=41 degrees
Answer:
49°
Step-by-step explanation:
O=41° and G=90° (because it is a right angle). The sum of the interior angles of a triangle is 180°. So, add the known angles, 41°+90°=131°. Since the sum of all three angles needs to be 180°, subtract the known angles from the total, 180°-131°=49°, to find the unknown angle.
The angle D in triangle OGD measures 49 degrees.
To find the measure of angle D in triangle OGD, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
Given that angle O is 41 degrees and angle G is 90 degrees, we can substitute these values into the equation:
Angle O + Angle G + Angle D = 180
41 + 90 + Angle D = 180
131 + Angle D = 180
Now, we can solve for angle D by subtracting 131 from both sides:
Angle D = 180 - 131
Angle D = 49
Therefore, angle D in triangle OGD measures 49 degrees.
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which symbol will make the following statement true? |−27|_____ 19
Answer:
the greater than symbol(>)
Step-by-step explanation:
the absolute value of -27 is 27. 27>19
If you use 104 kiloliters of water per year, approximately how many liters of water do you use in a day?
2,000 liters
0.28 liters
285 liters
85 liters
Which is equivalent to the expression below? |-3|
O
13
-1-31
O
3
"Everyone has a financial plan, but not everyone has financial goals." Explain what you think this
Answer:
Everyone has financial a plan, but not everyone knows what to do to make the plan work. Planning is different from putting it into action.
Find the missing side of each triangle.
1)
15 m
9 m
A) 19 m
C) 8 m
B) 17 m
D) 12 m
Answer:
20
Step-by-step explanation:
it is because its a even number XD
pls pls pls pls help, i will mark brainliest
Answer:
B) 81°
Step-by-step explanation:
∡1 ≅ ∡5 because they are corresponding angles
∡5 ≅ ∡7 because they are vertical angles
therefore, ∡1 ≅ ∡7
since the angles are equal we can create the following equation:
3x + 18 = 2x + 39
x + 18 = 39
x = 21
∡7 = 2(21) + 39
∡7 = 42 + 39
∡7 = 81
y = - 2x + 1
2x - 2y = 4
Solve systems of equations by substitutions
Answer:
x= 1
y= -1
Step-by-step explanation:
y=-2x+1
2x-2y=4
substitute for y
2x-2(-2x+1)=4
reduce
2x+4x-2=4
6x=6
x=1
y= -2(1)+1
y= -1
4) The length of a rectangle is 7 inches more than the width. The perimeter of the rectangle
is 178 inches. Find the width of the rectangle.
Answer:
41 inches
please mark brainliest
Step-by-step explanation:
l= 7+w
perimeter = 2(l+w) =2(7+w +w)= 2(7+2w)= 14+ 4w
178= 14+4w
4w =178-14= 164
w= 164/4 = 41 inches
What is 240 more than 100
Answer:
340
Step-by-step explanation:
240 + 100 = 340
Find the slope and y-intercept of equation y= 10x + 18
Answer:
slope is 10
y-intercept is 18
Step-by-step explanation:
The slope and y-intercept in y = 10x + 18 are 10 and 18 respectively.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given a line in slope-intercept form which is y = 10x + 18.
We know in y = mx + b, slope = m, and y-intercept = b.
∴ In y = 10x + 18.
Slope = 10 and y-intercept = 18.
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HELP ME!
Write an equation where a number is added to a variable, and a solution is -8.
Write an equation where a number is multiplied by a variable, and a solution is - 4/5 (negative four fifths)
also dont answer if you don't know
Let the variable be x
A number isn’t given so pick any number.
Let’s use 10
Set up the equation to get:
X + 10 = -8
Solve for the variable by subtracting 10 from both sides:
X = -18
Let the variable be y and pick any number, let’s use the number 2.
Equation: 2 x y = 4/5
Solve for y by dividing both sides by 2:
Y = 2/5
Martina is 3 inches less than twice as tall as her little brother.
In the space below, write an expression for Martina’s height. Then, use the expression to find Martina's height if her little brother is 28 inches tall.
Help ASAP
Answer:
m=2x-3
Step-by-step explanation:
2(28)-3
56-3
53 inches
Add 3/10+ 33/100+ 1+ 7/10 ( in fraction form) (this is 4th grade not middle school) please help
Step-by-step explanation:
Please refer to the attachment
Cesar bought 20 boxes of pizza and gave 14 nosed away what percentage is left
Answer:
30%
Step-by-step explanation:
14/20 is 70% he gave away, so 30% is left.
Answer:
30%
Step-by-step explanation:
I hope this helps :)
What is the value of the expression 7x (5-3) + (100 ÷ 5)
Answer:
Step-by-step explanation:
12x + 2y = 6
A. solve for y
B. What is the slope and what is the y-intercept?
Answer:
y=3
B.Slope is -6 Y intercept is 0.5
Step-by-step explanation:
Find the area of a square
with a side length of 3/4
Answer:
area of square
= side × side
= 3/4 ×3/4
=9/16
Is height always a statistical subject
Answer:
It Is!
Step-by-step explanation:
"For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students' ages."
HELP PLEASEEEEE PLEASE HELP
Answer:
What do you need help with?
Step-by-step explanation:
Plz help!!!!
With this question
Answer:
GH = 15
Step-by-step explanation:
14. BC = 19
GH = 9x - 3
FE = 5x + 1
Given that GH is the midsegment of the trapezoid, therefore:
GH = (BC + FE)/2
Plug in the values
9x - 3 = (19 + 5x + 1)/2
9x - 3 = (20 + 5x)/2
Multiply both sides by 2
2(9x - 3) = 20 + 5x
18x - 6 = 20 + 5x
18x - 5x = 20 + 6
13x = 26
Divide both sides by 13
x = 2
✔️GH = 9x - 3
Plug in the value of x
GH = 9(2) - 3 = 18 - 3
GH = 15
What is the sum of 5/7 + 5/6?
A. 10/42
B. 10/13
C. 1 & 23/42
D. 6 & 5/42
Answer:
C. 1 & 23/42
Step-by-step explanation:
Well when we add it we get 65/42 and we need to
simplify it and we get 1 & 23/42.
Answer:
C
Step-by-step explanation:
Does anyone know wha this could be
Mila bought a computer with a price tag of $1,200.
After tax the total was $1,284. What was the rate of the
tax?
Answer: 7%
Step-by-step explanation:
Help? I’ll give brainliest
9514 1404 393
Answer:
10,466.7 in^3
Step-by-step explanation:
The volume of a cone is given by ...
V = (1/3)πr^2·h
where r is the radius and h is the height. Using your numbers, we have ...
V = (1/3)(3.14)(20 in)^2·(25 in) = 10,466.7 in^3
_____
A more accurate value of π will give a different result.
out of 75/6 is 72%. (Write as a fraction in simplest form.)
Answer:22%
Step-by-step explanation:
The simplest form of the total of 75/6 would be 432 / 7500.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100. Suppose the value of which a thing is expressed in percentage is "a' Suppose the percent that considered thing is of "a" is b%
Then the percent; per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Given that out of 75/6 is 72%.
Therefore, it will be written as;
x of 75/6 = 72%.
We need to find the value of total x.
x of 75/6 = 72%.
x × 75/6 = 72%
x × 75/6 = 72/100
Cross multiplication;
x = 72/100 × 6/75
x = 432 / 7500
x = 0.0576
Hence, the simplest form of the total of 75/6 would be 432 / 7500.
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3r^2 if r = 1/6 can someone help me please.
Answer:
Step-by-step explanation:
Answer:
f = 1/18ir^3
Step-by-step explanation:
Let's solve for f.
3r2ifr=1/6
Step 1: Divide both sides by 3ir^3.
3fir3/3ir3 =1/6/3ir3
f=1/18ir3
Write the equation 12 = -3x + 6 in the form ax + b = c, with c = 12. What are the values of a and b?
sorry I don't know Ab = cd and bc = ad
Using SAS postulate triangles formed by ABC = abd
Opposite sides are equal and each angle is 90 degrees so by definition it is a rectangle.Ab = cd and bc = ad
Using SAS postulate triangles formed by ABC = abd
Opposite sides are equal and each angle is 90 degrees so by definition it is a rectangle.
Answer:
I think the answer is .
Step-by-step explanation:
C= 12
Hope this helps
Find the measure of the missing angle.
а
54°
Answer:
a = 36°
Step-by-step explanation:
a + 54° = 90°
a = 90° - 54°
a = 36°
The table shows the approximate diameters of four bacteria cells.
Bacteria Cell Diameters
Cell
Diameter
(meters)
w
0.0000029
х
0.000000024
Y
0.00002
N
0.00000027
Which list shows the bacteria cells in order from least to greatest diameter?
Answer:
Step-by-step explanation:
It’s b I think
