The probability that all of the buttons are black when four buttons are picked at random from a which jar contains four black buttons and three, is 1/35.
What is probability of an event?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
A jar contains four black buttons and three brown buttons. The total number of buttons is,
[tex]4+3=7[/tex]
The probability of picking a black button in the first attempt is,
[tex]P_1=\dfrac{4}{7}[/tex]
Now, there is total 6 buttons remain in which 3 are black buttons. Thus, the probability of picking black button in second attempt is,
[tex]P_2=\dfrac{3}{6}[/tex]
Similarly, for the third event,
[tex]P_3=\dfrac{2}{5}[/tex]
For the fourth event,
[tex]P_4=\dfrac{1}{4}[/tex]
The probability that all of them are black by the chain rule of probability,
[tex]P=\dfrac{4}{7}\times\dfrac{3}{6}\times\dfrac{2}{5}\times\dfrac{1}{4}\\P=\dfrac{1}{35}[/tex]
Thus, the probability that all of the buttons are black when four buttons are picked at random from a which jar contains four black buttons and three, is 1/35.
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Please help with the 3 equations and tell me how to write it in a number line please! Will be marked brainliest if the answer makes sense!
number one is 4 so put it on 4 and number 2 would be on 6 and number 3 on 1 thats just how i see it hope this helps
Step-by-step explanation:
PLease help its a math question see image attached please
Answer:
Quadratic
Step-by-step explanation:
The function shown here is :
y = 2x²As the degree of the polynomial is 2, this function is considered to be quadratic.
A park is 4 times as long as it is wide. if the distance around the park is 12.5 kilometers, what is the area of the park? 2 answers
Answer:
6.25 km^2.
Step-by-step explanation:
Let the park be x km wide. Then it's length is 4x km.
Perimeter = 2(Length + width)
12.5 = 2(4x + x)
2*5x = 12.5
x = 12.5 /10 =1.25 km.
So the park is 1.25 km wide and 4*1.25 = 5 km long.
The area of the park = 1.25 * 5
= 6.25 km^2.
The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.
What is the area of the rectangle?Let W be the rectangle's width and L its length.
The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be
Area of the rectangle = L×W square units
A recreation area is multiple times for however long it is wide. assuming the distance around the recreation area is 12.5 kilometers.
Then the equation is given as,
L = 4W
Then the perimeter of the garden is given as,
12.5 = 2(L + W)
12.5 = 2(4W + W)
6.25 = 5W
W = 1.25 km
Then the length is given as,
L = 4 x 1.25
L = 5 km
Then the area of the garden is given as,
A = 5 x 1.25
A = 6.25 square km
The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.
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A printing press valued at $120,000 depreciates 12% per year. What will be the approximate value
printing press in seven years? Round your answer to the nearest whole dollar.
A. Growth or Decay
B. Equation:
C. Answer:
Answer:
1230000
Step-by-step explanation:
this is because of growth and inflation and deflation
12% of 120,000 = 14400
14400x7 = 100800
120,000 - 100800 = 19200
A:DECAY
help pleasee <3 >:((
[tex]v = \frac{lwh}{3} [/tex]
[tex]v = \frac{10 \times 6 \times 6}{3} [/tex]
[tex]v = 120 \: {ft}^{3} [/tex]
Volume of rectangular prism:[tex]v = lwh[/tex]
[tex]v = 10 \times 6 \times 4[/tex]
[tex]v = 240 \: {ft}^{3} [/tex]
Total volume:[tex]v = 120 + 240[/tex]
[tex]v = 360 \: {ft}^{3} [/tex]
volume of rectangular pyramid is 120 ft^3.
volume of rectangular prism is 240 ft^3.
total volume is 360 ft^3.
hope this helps.
Use the numbers in the multiplication
equation 28 x 1/7= 4 to write a division
equation involving division by a fraction.
Changing the multiplication sign to a division sign, we will have 28 ÷ 7
Multiplication and division ruleGiven the product of 28 and 1/7, we are to write a division equation involving division by a fraction.
Given
28 * 1/7 = 4
Changing the multiplication sign to a division sign, we will have:
28 * 1/7 = 28/7
This can also be written as 28 ÷ 7
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Here is a set of data
Answer:
a) 1.8
b) 11.8
c) 23.6
a)(2.4 + 1.6 + 3.2 + 0.3 + 1.5) / 5 = 1.8
b)(12.4 + 11.6 + 13.2 + 10.3 + 11.5) = 11.8
c)(24.8 + 23.2 + 26.4 + 20.6 + 23) / 5 = 23.6
or,
11.8 × 2 = 23.6
Answer+Step-by-step explanation:
a)
original mean = (2.4+1.6+3.2+0.3+1.5)÷5
= 9÷5
= 1.8
b)
New mean = ((2.4+10)+(1.6+10)+(3.2+10)+(0.3+10)+(1.5+10))÷5
= (12.4) + (11.6) + (13.2) + (10.3) + (11.5)) ÷ 5
= 59÷5
= 11.8
Note:
11.8-10 = 1.8
then
New mean = original mean + 10
c)
Newest mean = ((2×12.4)+(2×11.6)+(2×13.2)+(2×10.3)+(2×11.5))÷5
= ((24.8)+(23.2)+(26.4)+(20.6)+(23))÷5
= 118÷5
=23.6
Note :
Newest mean = 2×(New mean)
= 2×(original mean + 10)
what is the length of side x,y, and z
Answer:
X = [tex]\sqrt{2}[/tex] , Y = 3 , Z = 10
Step-by-step explanation:
using Pythagoras' identity in all 3 right triangles
X² = 1² + 1² = 1 + 1 = 2 ( take square root of both sides )
X = [tex]\sqrt{2}[/tex]
middle triangle
Y² = 1² + X² = 1 + ([tex]\sqrt{2}[/tex] )² = 1 + 2 = 3
triangle on right
Z² = 1² + Y² = 1 + 3² = 1 + 9 = 10
A rectangular hotel room is 11 feet wide and 25 feet long. What is its perimeter?
Answer:
The answer is 72
Step-by-step explanation:
The formula for perimeter is (L+W)x2
So in your case (11+25)x2
Or add all 4 sides of the rectangle up and you have your answer <3
What is the vertex of the graph shown below? Write your answer in the form
(x,y).
Answer:(-3,-1.5)
Step-by-step explanation: the vertex is the point then the line starts to bend. that would be (-3,-1.5).
Using slope, tell whether each pair of
lines is parallel, perpendicular, or
neither:
First set is parallel - same gradient
Second set is neither - gradient is 2/6 or 1/3. It then had to be 3 for it to be perpendicular.
Hope this helps!
.....Can someone help me?
Answer:
A (the one you already have selected!)
Step-by-step explanation:
the vertical asymptotes: x = pi / 2
Vertical shift: - 2
Phase shift and period: pi to the right
Pls help! Due soon!!
Answer:
See below ~
Step-by-step explanation:
1. 3d + 2
2. John = Kelly - 6
3. y/4 - 3
4. Thomas = 2(Luis)
5. 8p + 6
6. x³ + 5
Answer answer please please
Answer:
B. <
Step-by-step explanation:
2.7 * 10^3 is < 27 * 10^3
since
27 * 10^3 = 27000
2.7 * 10^3 = 2700
2700 < 27000
now since multiplying by 10 moves the decimal to the right, just looking and mentally comparing them. since they are both multiplied by 10^3 you're left with 2.7 and 27
27 is greater than 2.7
so
your answer is B or <
hope this helps :)
Answer: the answer is choice b
Step-by-step explanation:
what is the value of the expression 4(80+b) - 12, where b = 20?
Answer:
388
Step-by-step explanation:
Substituting b = 20 in the expression :
4(80 + 20) - 124(100) - 12400 - 12388HELP ME PLEASE!!!!!!
Answer:
x = 5
Step-by-step explanation:
216 ^x = 6^(x+10) notice that 216 = 6^3
(6^3 )^x = 6^(x+10)
6^3x = 6^(x+10) now just equate the exponents
3x = x + 10
2x = 10 x = 5
PLEASE HELP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
Find the difference between your wet bulb and dry bulb temperatures. Round the value to the nearest whole number. Use this value and your average dry bulb temperature in Celsius (round up or down to the nearest temperature) to determine the relative humidity using the chart below.
Relative Humidity (%)
Dry Bulb Temperature(°C)
Difference of Wet Bulb and Dry Bulb Temperatures(°C)
Answer:
20 degrees
Step-by-step explanation:
Answer:
20 degrees
Step-by-step explanation:
I got help from my teacher.
There is a pair of parallel sides in the following shape.
9. 5. 3
Answer:
area of composite shapes is area of rectangle plus area of square what do I know I'm just in 8th grad
The ratio of the circumference of two circles in 3:2. The radius of the smaller circle is 8 in. What is the radius of the larger circle?
Points A and B have the same x-coordinates but opposite y-coordinates.
5
A
4
3
2
NS
5 4 3 2 1
1 2 3 4 5 X
-2
-3
B
-4
-5
The awnser is 3 units
Start from the y-axis and count to your point.
When I was in tge 5th grade frog leaps/ bunny hops helped me.
How many kilometers is equal to 800 meters?
- - - - - - - - - - - - -- - - - - - - - - -- -- - - - - - - - -- - - - - - - -- - - - - - -- - - - - - -
[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
How many kilometers is equal to 800 meters?
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
Divide the number of meters by 1000 to convert meters (m) into kilometers (km):
[tex]\texttt{800:1,000=0.8 km}[/tex]
So 800 m is equal to 0.8 km.Good luck.- - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - -- - - - - - - - -
It's a trigonometry question.
The length of the hypotenuse x will be equal to x=89.72 cm.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.
It is given in the question that:-
The base is = 54 cm
Angle just opposite the base is =37
So the angle with the base will be =180-90-37=53
So by applying the cosine formula for the right-angled triangle:-
Cos Ф=(B)/(H)
Cos 53=(54)(x)
x=(54)(Cos53)
x=889.72 cm
Hence the length of the hypotenuse x will be equal to x=89.72 cm.
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equation that shows 3 less than the product of 4 and m
The statement is a mathematical statement, and the equation that shows the statement is y = 4m - 3
How to determine the equation?The product of 4 and m is represented as:
4 * m
Evaluate
4 * m = 4m
3 less than this product is represented as:
4 * m - 3 = 4m - 3
Let the result of the equation be represented with y.
So, we have:
y = 4m - 3
Hence, the equation that shows the statement is y = 4m - 3
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What are the x-coordinates for the maximum points in the function f(x) = 4 cos(2x − π) from x = 0 to x = 2π? (1 point) a x = 3 pi over 2 , x = π b x =
x-coordinates for the maximum points in any function f(x) by f'(x) =0 would be x = π/2 and x= 3π/2.
How to obtain the maximum value of a function?To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.
we want to find x-coordinates for the maximum points in any function f(x) by f'(x) =0
Given f(x)= 4cos(2x -π)
[tex]f'(x) = 0\\- 4sin(2x -\pi ) =0\\\\sin (2x -\pi ) =0 \\2x -\pi = k\pi ... k in Z[/tex]
In general [tex]x=(k+1)\pi /2[/tex]
from x = 0 to x = 2π :
when k =0 then x = π/2
when k =1 then x= π
when k =2 then x= 3π/2
when k =3 then x=2π
Thus, X-coordinates of maximum points are x = π/2 and x= 3π/2
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Robert wants to have 3 cherry trees planted on his property. He asked a landscaping company to give him a bid. The contractor wanted $750 to buy and plant the trees. Robert’s friend Tom said he would help him plant the trees on the weekend. The trees cost $115 each. How much will Robert save by having his friend help him?
Answer:
If I am correct he will save $405 by having his friend helping him.
Step-by-step explanation:
3x115=345
750-345=$405
totaled saved: 405
Find the difference between the numbers 497.063 and 52.12
Answer:
444.94300
Step-by-step explanation:
497.063-52.12
Estimate the sum
1.37 + 0.9
[tex]1.37 + 0.9\\\\\\=\dfrac{137}{100} + \dfrac{9}{10}\\\\\\=\dfrac{137}{100}+\dfrac{90}{100}\\\\\\=\dfrac{137+90}{100}\\\\\\=\dfrac{227}{100}\\\\\\=2.27[/tex]
if A - 13= (-8), then what does A equal?
(will mark brainliest)
Answer:
A = 5
Step-by-step explanation:
Add 13 to each side of the expression :
A - 13 + 13 = -8 + 13A = 13 - 8A = 5Step-by-step explanation:
A 13+13 equal to -8+13
A 13-8
A 5
A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose. This table shows the results. Which statement is true? Sharks Moose Total Students 90 10 100 CARNE Teachers 5 10 15 Total 95 20 115 A. "Moose" is equally popular with students and teachers. B. There is no difference between the preferences of students and teachers. C. "Moose" is more popular with students, but "shark" is more popular with teachers. ch D. "Shark" is more popular with students, but "moose" is more popular with teachers.
“Shark” is more popular with students, but “Moose” is more popular with teachers. Then the correct option is D.
How to find the relative frequency?Relative frequency is the ratio of the considered subgroup's count to the total count. (so its frequency of the considered subgroup relative to the total frequency).
A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose.
This table shows the results.
Sharks Moose Total
Students 90 10 100
Teachers 5 10 15
Total 95 20 115
Then the correct situation will be
“Shark” is more popular with students, but “Moose” is more popular with teachers.
Then the correct option is D.
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Which of the following sets of numbers could represent the three sides of a triangle? \{6,14,17\}{6,14,17} \{10,23,34\}{10,23,34} \{10,14,26\}{10,14,26} \{7,20,28\}{7,20,28}
The sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.
What is triangle inequality theorem?Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus, according to this theorem,
[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]
The sides of first option are, 6,14,and 17.
[tex]6+14 > 17\\20 > 17[/tex]
This set satisfy the triangle inequality theorem. All the other options do not follow, to satisfy this theorem.
Thus, the sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.
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