Diamond is playing a game. In the game she has to spin a spinner
that is divided into 4 equal sections of green, red, blue, and yellow.
What is the probability that on her first spin she will land on green
and then red on her second spin?
Answer: 1/16
In decimal form, this is equivalent to 0.0625
=====================================================
Explanation:
Each of the four sections are of equal area, so that means the probability of landing on any given color is 1/4.
The probability of landing on green first is 1/4, then followed by red is another 1/4. We multiply these fractions. This is valid because each event of spinning the spinner is independent of one another. None of the spins affect any others.
We then get (1/4)*(1/4) = (1*1)/(4*4) = 1/16
The probability of Diamond landing on the green on her first spin and then red on her second spin is 1/16.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required event / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Assuming that each section of the spinner has an equal chance of being landed on, the probability of landing on the green on the first spin is 1/4.
Since each spin is independent of the others, the probability of landing on red on the second spin is also 1/4.
To find the probability of both events happening, we multiply the probabilities of each event:
P(green and red) = P(green) × P(red) = 1/4 × 1/4 = 1/16
Therefore,
The probability of Diamond landing on the green on her first spin and then red on her second spin is 1/16.
Learn more about probability here:
https://brainly.com/question/14099682
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Please help me. what is 10x10+4
104
Step-by-step explanation:
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Answer:
104
10 × 10 = 100
100 + 4 = 104
Therefor, the answer is 104.
2 ( n - 7 ) = 20
What is n?
Answer:
The answer is n = 17
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
Hoped this helped!
brainly, please?
Hey guys please help if I did this question correct if not can you answer it for me I would give you a Brainliest answer if you answer and that is NO JOKE❤
Answer:
Hope this helped :D Because summation means adding both values. So when we add negative integer, it will be more negative and hence resultant value will be smaller than both the integers.
Find the value of x pls help thank u so much
Answer:
7.81
Step-by-step explanation:
Answer:
[tex] \sqrt{66} [/tex]
Step-by-step explanation:
By geometric mean property:
[tex]BD = \sqrt{6 \times 5} = \sqrt{30} \\ \\ In \: \triangle ABD: \\ by \: pythagoras \: theorem : \\ \\ AD^2 = AB^2 + BD^2 \\ \\ {x}^{2} = {6}^{2} + {( \sqrt{30}) }^{2} \\ \\ {x}^{2} = 36 + 30 \\ \\ {x}^{2} = 66 \\ \\ x = \sqrt{66} [/tex]
SOLVE THIS PROBLEM PLEASE EXPLAIN HOW IT IS CORRECT PROVIDE! ASAP PLS THANK YOU SO MUCH FOR HELPING 10+ POINTS
Answer:
14x7=98
Step-by-step explanation:
First you see the line going down and there is the height 7 you can move that tiny triangle to the left where the parallelogram can be made into a rectangle.
all you need is to multiply base x height
base 14cm height 7cm pls brainliest
hope this helps!
PLEASE I NEED HELP FAST ITS PAST DUE AND IM STUCK ON THIS ONE. ILL MRK BRAINLIEST FOR THE FIRST PERSON WHO GIVES ME THE CORRECT ANSWER
Answer:
[tex]-27x^2\\[/tex]
Step-by-step explanation:
(Assuming you can use a calculator)
[tex]\sqrt[3]{-729x^6} = \sqrt[3]{-1} * \sqrt[3]{729} * \sqrt[3]{x^6} \\\sqrt[3]{-1} =-1\\\sqrt[3]{729} = 27\\\sqrt[3]{x^6} = ((x^6)^{1/3}) = x^(6/3) = x^2\\\\hence\\\sqrt[3]{-729x^6} = -1*27*x^2 = -27x^2[/tex]
Answer:
d
Step-by-step explanation:
Suppose I randomly choose 4 distinct integers between 1 and 60. Is it true, or is it not true, that at least 2 of them must differ by no more than 19.
Answer:
It’s true
Step-by-step explanation:
Proof by induction
Let the four chosen numbers be x_1, … x_4 and, without loss of generality, let x_1 < x_2, … < x_4.
For x_1 = 1, the smallest possible choice, let x_2 = x_1 + 20 = 21 be the smallest possible choice that has a difference larger than 19. Likewise, x_3 = x_2 + 20 = x_1 + 40 = 41. Then x_4 has to be at least x_3 + 20 = x_1 + 60 = 61 which is out of range.
For the induction, suppose that x_4(n) = x_1(n) + 60 > 60 and therefore x_4(n) can’t be chosen for a given x_1(n). Then incrementing x_1(n+1) = x_1(n) + 1 would require x_4(n+1) to be at least x_1(n) + 1 + 60 = x_4(n) + 1 > 61, so this is out of range as well.
For another induction, suppose that x_4(n) = x_2(n) + 40 > 60 and therefore x_4(n) can’t be chosen for a given x_2(n). Then incrementing x_2(n+1) = x_2(n) + 1 would require x_4(n+1) to be at least x_2(n+1) + 40 = x_4(n) + 1 > 61, so this is out of range as well.
Likewise, for the induction, suppose that x_4(n) = x_3(n) + 20 > 60 and therefore x_4(n) can’t be chosen for a given x_3(n). Then incrementing x_3(n+1) = x_3(n) + 1 would require x_4(n+1) to be at least x_3(n+1) + 20 = x_4(n) + 1 > 61, so this is out of range as well.
Therefore all choices of x_1, x_2, x_3 with differences greater than 19 leaves no choice of x_4 within range with x_4 > x_3 + 19.
Question 9 of 10
Solve the system of equations:
y= 2x + 1
y = x2 + 2x - 8
A. (0.1) and (2,5)
B. (-4,0) and (2,0)
C. (-3, -5) and (3,7)
O D. (-3,5) and (3, 2)
Answer:The answer is =3,7
Step-by-step explanation:
Question 2 - Find the nth term of the following
a) 10, 7, 4, 1
b 6, 4, 2,0
c) 9,4 -1,-6
d) 2.5, 2. 1.5, 1
Please help me quick
Answer:
nth term = 10 + (n - 1)-3
Step-by-step explanation:
a) 10, 7, 4, 1
First term,a = 10
Common difference,d = 7 - 10 = -3
nth term = a + (n - 1)d
nth term = 10 + (n - 1)-3
b 6, 4, 2,0
First term,a = 6
Common difference,d = 4 - 6 = -2
nth term = a + (n - 1)d
nth term = 6 + (n - 1)-2
c) 9,4 -1,-6
First term,a = 9
Common difference,d = 4 - 9 = -5
nth term = a + (n - 1)d
nth term = 9 + (n - 1)-5
d) 2.5, 2. 1.5, 1
First term,a = 2.5
Common difference,d = 2 - 2.5 = -0.5
nth term = a + (n - 1)d
nth term = 2.5 + (n - 1)-0.5
The circumference of a circular garden is 106.76 feet. What is the radius of the garden?
Answer:
16.9659
Step-by-step explanation:
you have to divide the circumference by pi, then you will have your diameter, after that you have to divide the diameter by 2 to get your radius
How do you do 20/4 divided by 8/9 and put it in simplest form?
Answer:
45/8, or 5.625
Step-by-step explanation:
20/4 is simplified to 5/1.
5/1 divided by 8/9
5/1 * 9/8
45/8
simplified to 5.625
Answer:
45/8 or 5 5/6.
Step-by-step explanation:
20/4 / 8/9 We invert the second fraction and multiply:
= 20/4 * 9/8
= 180 / 32
= 45/8
= 5 5/8.
HELP ME PLEASEEEEE PLEASEEEEE
Answer:
5.46π cm³
Step-by-step explanation:
Volume of sphere= 4/3πr³
= 4/3×π×(1.6)³ cm³
=5.46π cm³
hope this helped you!
Can anyone help me with this please.
I’ll mark you as a brainliest.
Answer:
x = 21
Step-by-step explanation:
5x + 18 = 7x - 24
=> 5x - 7x = - 24 - 18
=> -2x = - 42
=> x = -42 / -2
=> x = 21
Hope it helps :)
Please mark my answer as the brainliest
What is the other match?
Answer:
A
Step-by-step explanation:
please answer this quickly
Answer:
Step-by-step explanation:
What is the circumference of the circle
below?
The value of x in the equation 161 - 6 - 26 is
Answer:
129
161-6=155-26=129 so x is 129
Answer:
x= 129
Step-by-step explanation:
161-6-26=x
161-6= 155
155-26= 129
x=129
Find the measure of the indicated angle to the nearest degree?
Please hurry
Answer:
53.13°
Step-by-step explanation:
Sin x = Opp/Hyp
Sin x = 76/95
x = Sin- 0.8
=53.13°
Help please the problem is in the picture below.
Answer:
Step-by-step explanation:
C=pi times 4
C= 3.14 times 4
C=12.56
how many gallons of gas can you get for $15.80
Kari bought a fountain online. It cost $946 plus 28% shipping and handling. What was the total cost?
Answer:
$1210.88
Step-by-step explanation:
100 + 28 = 128
946/100 X 128 = 1210.88
Use the Pythagorean theorem to obtain the function D(x) for the length of the diagonal of a double square of width x.
Answer:
[tex]D(x)= x\sqrt{2}[/tex]
Step-by-step explanation:
Given
[tex]Side = x[/tex]
Required
Represent the diagonal as a function
Using Pythagoras theorem, the diagonal is:
[tex]D^2= Side^2 + Side^2[/tex]
Substitute x for Side
[tex]D^2= x^2 + x^2[/tex]
[tex]D^2= 2x^2[/tex]
Take the square root of both sides
[tex]D= \sqrt{2x^2[/tex]
Split
[tex]D= \sqrt{2} * \sqrt{x^2[/tex]
[tex]D= \sqrt{2} * x[/tex]
[tex]D= x\sqrt{2}[/tex]
Express as a function.
[tex]D(x)= x\sqrt{2}[/tex]
Trigonometry Practice
Answer:
x = 16.20
Step-by-step explanation:
tan48 = 18/x
xtan48 = 18
x = 18/tan48
x = 16.20
A city has a population of 350,000 people, suppose that each year the population grows by 5%. What will the population be
after 14 years?
Answer:
595,000
Step-by-step explanation:
find 5% of the present population
5/100*350,000 =17,500
there fore the population increases by 17,500 yearly
in 14 yrs time
=(14*17500) + 350,000
=245000+350000
=595000
How many three-digit numbers are divisible by 2,3 or 5? plEASe helP I aM DeSpeRatE
GIVE ME THE RIGHT ANSWER
Answer:
30
Step-by-step explanation:
- A number is divisible by 2 if its last digit is 2, 4, 6, 8 or 0
- A number is divisible by 3 if ist sum of digits is divisible by 3.
- A number is divisible by 5 if its last digit is a 5 or a 0.
_
The least 3 digit number divisible by 30 is 120 and the greatest is 990.
Answer: 30
Step-by-step explanation:
Divisible by 2,3 and 5 means divisible by 2*3*5=30
So we require to calculate number of multiples of 30 in the range 100 to 999.
The least 3 digit number divisible by 30 is 120 and greatest is 990.
This is an AP series with common difference 30.
First number is 120 and n'th number is 990.
We need to find n.
Using the AP series formula
120 + (n-1)*30= 990
or n= 30
There are 30 3-digit numbers divisible by 2,3 and 5.
Stephen places 950 pounds in a bank that pays 1.6 percent simple interest per year. How much interest will he earn each year
Answer:
15.2
Step-by-step explanation:
You have to divide 950 by 1.6 percent
950/1.6
PLEASE HELP
Special Right Triangles and Pythagorean Theorem
1. Find the length of the missing side.Leave your answer in the simplest radical form.
please show work
Answer:
x = 14
Step-by-step explanation:
15² = x² + 6²
225 = x² + 36
189 = x²
√189 = x
x = 13.7
x = 14
A triangle has a base of 3 inches and an area of 5 to square inches. Find the height of
the triangle. Show your reasoning.
Answer:
Four Is The Answer
Step-by-step explanation:
Thx Me Later
please help me solve this