A spinner is spun 77 times and stops on the color green 17 times. Calculate the experimental probability of the spinner stopping on the color green.
Answer:
[tex]\boxed {\boxed {\sf \ \frac {17}{77}}}}[/tex]
Step-by-step explanation:
The experimental probability is the probability of an event occurring in an experiment that was conducted. It is the ratio of the times an event occurred to the total trials.
[tex]P(event)= \frac{ number \ of times \ event \ occurs} {total \ number \ of \ trials}[/tex]
We are trying to find the experimental probability of landing on green.
The spinner was spun 77 times. This is the total number of trials. The spinner landed on green 17 times. This is the event.[tex]P(green)= \frac{17}{77}[/tex]
This fraction cannot be simplified any further, so the experimental probability of landing on the color green is 17/77
A rectangular balcony is 14 feet long and 6 feet wide. What is its area?
Answer:
I will do
Step-by-step explanation:
length of balcony: 14 feet
Breadth of balcony:6 feet
area of rectangular balcony: length ×breadth
answer 14ft × 6ft = 84ft²
BREADTH MEANS WIDE
What percentage (nearest whole percent) is budgeted for entertainment if $200 is allotted from a total budget of $1260 ?
What is 0.5% of 1,000 pounds
Answer:
995 pounds took the test got it right
Step-by-step explanation:
Answer:
5 pounds
Step-by-step explanation:
% (percent) means 100
0.5% of (1000 pounds)
= 0.5% × (1000 pounds)
= 0.5 ÷ 100 (1000 pounds)
= 5 pounds
On a coordinate plane, point A is located at (7, 4), and point B is located at (-8, 4). What is the distance between the two points? *
-1
3
15
56
Answer:
Solution given;
A(x1,y1)=(7,4)
B(x2,y2)=(-8,4)
distance AB=?
we have
d=[tex]\sqrt{(x2-x1) ²+(y2-y1) ²}[/tex]
AB=[tex] \sqrt{(-8-7)²+(4-4)²}[/tex]
AB=15 units
the distance between the two points is 15 units.
what is the length for the 3rd side? write in simplest radical form if needed
Answer:
10
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
Let the third side be x , then
x² + 6² = (2[tex]\sqrt{34}[/tex] )²
x² + 36 = 136 ( subtract 36 from both sides )
x² = 100 ( take the square root of both sides )
x = [tex]\sqrt{100}[/tex] = 10
Find the distance between the points (-4,9) and (5, -3).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
Submit
Answer:
15 unitsStep-by-step explanation:
The formula of a distance between two points:
[tex]A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}[/tex]
We have:
[tex]A(-4;\ 9);\ B(5;\ -3)\\\\|AB|=\sqrt{(5-(-4))^2+(-3-9)^2}=\sqrt{9^2+(-12)^2}=\sqrt{81+144}\\\\=\sqrt{225}=15[/tex]
Please I need help!!!!
Answer:
1st
Vertex
we have
f(x)=x²-18x+88
let
y=x²-18x+88
comparing above equation with ax²+bx+c
we get
a=1
b=-18
c=88
now
vertex(x,y)=(-b/2a,f(-b/2a))
x=(18/2×1)=9
y=f(9)=9²-18×9+88=7
SO
VERTEX(X,Y)=(9,7)
=
#1
y=x²-18x+88x coordinate of vertex
-b/2a18/29y coordinate
y=9²-18(9)+88y=81+88-162y=7Option C.
#2
y=x²-9x-36y intercept
y=0-36=-36(0,-36)
x inetercepts
x²-9x-36=0x²-12x+3x-36=0(x-12)(x+3)=0x=12,-3(12,0)U(-3,0)
#3
y=-x²+3x+12Find dy/dx
-2x+3f'(x)=0<=>x=3/2
For increasing
-2x+3>0x<3/2For decreasing
x>3/2F(x) is increasing on (-oo,3/2)
F(x) is decreasing on (3/2,oo)
DLine t is mapped onto line m by a dilation centered at the origin with a scale factor of 2. The equation of line t is 3x-y=4. Determine and state an equation for line m.
9514 1404 393
Answer:
line m: 3x -y = 8
Step-by-step explanation:
The dilation scale factor affects only the constant in a linear equation. The scaled lines are parallel to each other, so the slope, or ratio of coefficients, does not change.
3x -y = 4 scaled by a factor of 2 becomes 3x -y = 8.
What is the volume of this triangular prism?
Answer:
Given:
perpendicular [p]=9cm
base[b]=15cm
length[l]=4cm
we have
the volume of this triangular prism=area of traingle. ×length=1/2 p×b×l
=½×9×15×4=270cm³
270cm³ is a required volume.
Answer:
[tex]\displaystyle V _{ \text{prism}} = 270 {cm}^{3} [/tex]
Step-by-step explanation:
we are given a triangular prism
we want to figure out the Volume of the given Prism
remember that,
[tex] \rm\displaystyle V _{ \text{prism}} = [\text{base area}] \times l[/tex]
since the base is triangle the formula of base area should be the formula of the area of a triangle
thus,
[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times b\times h] \times l[/tex]
substitute
[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times 9 \times 15]\times 4[/tex]
remove parentheses:
[tex] \displaystyle V _{ \text{prism}} = \frac{1}{2}\times 9\times 15\times 4[/tex]
reduce fraction:
[tex]\displaystyle V _{ \text{prism}} = 9\times 15\times 2[/tex]
simplify multiplication:
[tex]\displaystyle V _{ \text{prism}} = 270[/tex]
hence, the Volume of the given prism is 270cm³
What is 5/6 in simplest form
Answer:
5/6 in simpleest form is 5/6
It is already the lowest it can go
Answer:
Step-by-step explanation:
5/ 6 is already in the simplest form. It can be written as 0.833333 in decimal form (rounded to 6 decimal places).
Find the GCD (or HCF) of numerator and denominator
GCD of 5 and 6 is 1
Divide both the numerator and denominator by the GCD
5 ÷ 1
6 ÷ 1
Reduced fraction:
5/ 6
Therefore, 5/6 simplified to lowest terms is 5/6.
Which of the following choices are equivalent to the expression below? Check
all that apply. X^3/5
Answer:
[tex]\text{C. }(x^3)^{1/5},\\\text{F. }\sqrt[5]{x^3}[/tex]
Step-by-step explanation:
Exponent properties state [tex](a^b)^c=a^{(b\cdot c)[/tex]. Therefore, [tex]{x^{(\frac{3}{5})}=(x^3)^\frac{1}{5}[/tex].
Recall that [tex]a^{(\frac{b}{c})}=\sqrt[c]{a^b}[/tex]. Thus, [tex]x^{(\frac{3}{5})}=\sqrt[5]{a^3}[/tex].
find the distance between the points (-2,2) and (0,4)
Answer:
(2,2)
Step-by-step explanation:
Difference between -2 and 0 is 2 and difference between 4 and 2 is 2
Answer:
difference in y is 6 difference in x is 2
Step-by-step explanation:
Shown below is a jar which is in the shape of a right circular cylinder. What is the length of the longest stick that could fit in this jar (without bending or breaking the stick and with no part sticking out)?
Answer:
14.14
Step-by-step explanation:
please find attached a diagram showing the stick and the jar
the length of the longest stick can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² + 10²
100 + 100 = 200
determine the square root of 200
= 14.14
In a group of 24 people, 10 study
Physics, 15 study Chemistry and
18 study at least one subject.
Find the number of people who
do not study any of the subject.
click the photo there is the answer
A dentist has male and female patients that range in ages from 10
years old to 50 years old and up as shown in the table. What is the
experimental probability that the next patient will be female and in
the age range 22-39? Enter your answer in simplified fraction
form.
Answer:
56/125
Step-by-step explanation:
Can someone help me ?? I’ll give Brainliest
Answer: All I'm seeing is a blank screen I'm sorry can you try it again?
Answer:
nice black screen i like it
Which equation can be solved to find the value of y in this diagram?
Answer:
180-116-30=y
Step-by-step explanation:
Answer:
Step-by-step explanation:
180-116-30=y
Roger works part-time as a waiter at a pizza joint. He earns $9 per hour. How much does he earn for 20 hours of work?
Answer:
$180
Step-by-step explanation:
He earns $9 per hour
we should find how much does he earn for 20 hours
20 × 9
= 180
Hope it is helpful....What solution to the system? Write the x-value and the y-value
10x+7y=1
-5x-7y=24
Answer:
y = - 7 and x = 5
Step-by-step explanation:
10x + 7y - 5x - 7y = 1 + 24
5x = 25
5x ÷ 5 = 25 ÷ 5
x = 5
- 5(5) - 7y = 24
- 25 - 7y = 24
- 25 + 25 - 7y = 24 + 25
- 7y = 49
- 7y ÷ - 7 = 49 ÷ - 7
y = - 7
The top and bottom shelves of a triangular shelving unit are similar triangles. The shortest and longest sides of the larger shelf are 16.5 inches and 22.5 inches long. (24 POINTS PLS HELP) The longest side of the smaller shelf is 15.75 inches long. How long is the shortest side of the smaller shelf?
A. 11.45 inches
B. 11.55 inches
C. 24.48 inches
D. 23.57 inches
Answer:
Its B
Step-by-step explanation:
Please help, do not give links for an aswer.
pls help im rlly confused
Answer:
the y intercept is (0,29)
ANSWER FOR BRAINLIEST
Answer:A
Step-by-step explanation: A is 8d+d, and since d=1, 8d,+1d is equal to 9d
NEED HELP!! NO LINKS PLS
Write a quadratic equation in standard form that has the following solutions: x = 4/3 x = - 2/5
Answer:
[tex](3x-4)(5x+2)[/tex]
Step-by-step explanation:
When multiplying fractions, you multiply straight across? Yes or No ?
Answer:
YES!
Step-by-step explanation:
You do multiply straight across for ex: 3/4 x 4/3= 12/12=1
For addition you don't but for multiplication you do!
The price of Stock A at 9 A.M. was $14.83. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $15.33. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
0.5 hoursStep-by-step explanation:
Let the x be the number of hours after noon.
We have the following equation:
14.83 + 0.12(x + 3) = 15.33 - 0.15x 14.83 + 0.12x + 0.36 = 15.33 - 0.15x0.12x + 0.15x = 15.33 - 15.190.27x = 0.14x = 0.14/0.27x ≈ 0.5Helppp me for Brainlyiest pls provide proofff or nun
Answer:
2a + b/4
Step-by-step explanation:
The expression is the sum of two terms (2a + b/4)
The first term is the product (Multiply) of 2 and a (2a)
The second term is the quotient (Divide) of b and 4 (b/4)
Please Help Me!!! You had a bag of fruit snacks that you shared with 3 friends. Each of you got no more than 6 fruit snacks. The inequality x÷4≤6 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag. There were no more than____fruit snacks in the bag.
Answer: x<=24
Step-by-step explanation:
Data: x/4<=6 and to find the answer, we have to find(Isolate) x
x/4(4)<=6(4) which is x<=24
Since we have found x, we have our answer which is x<=24
I hope this helps!
Trapezoid TRAP is shown on the grid below.
What is the length of the midsegment MN?
6
9
12
18
Answer:
18
Step-by-step explanation: