Answer:
[tex]\frac{1}{30}[/tex]
Step-by-step explanation:
Separate into Case 1 and Case 2:
Case 1: We want a yellow marble
There is only 1 yellow marble out of the 6 marbles.
Probability for a yellow marble = [tex]\frac{1}{6}[/tex]
Case 2: We want a blue marble
There is only 1 blue marble out of the 5 marbles remaining. (We took 1 yellow marble out already)
Probability for a yellow marble = [tex]\frac{1}{5}[/tex]
Multiply Case 1 with Case 2 because they are a combination:
[tex]\frac{1}{6} *\frac{1}{5} =\frac{1}{30}[/tex]
how to Master grade 12 Euclidean geometry
Euclidean Geometry is normally taught by starting with the statement of the theorem, then its proof (which includes the diagram, given and RTP – Required To Prove), then a few numerical examples and finally, some non-numerical examples. Have you seen the problem yet?? The PROOF is given at the beginning!
Step-by-step explanation:
hope this will help you
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With regularly distributed data, what percentage of the data points will fall within one standard deviation from the mean?.
Answer:
68%
Step-by-step explanation:
The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.
A 45-45-90 triangle is a special type of isosceles right triangle that has angle measures of 45°, 45°, and 90°. Every 45-45-90 triangle has the same ratio of side lengths. If the legs of a 45-45-90 triangle are a, write an expression for the length of the hypotenuse.
Answer:
[tex]a\sqrt{2} =h[/tex]
Step-by-step explanation:
The expression for the length of the hypotenuse is 2x.
Where x is any positive integer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
An isosceles right triangle has angle measures of 45°, 45°, and 90°.
This means,
Two sides opposite to the equal angles are equal.
Now,
Equal sides = M
Hypotenuse sides = N
Now,
Every 45-45-90 triangle has the same ratio of side lengths.
This means,
Angles ratio:
45 : 45 : 90 = 1 : 1 : 2
Similarly,
Sides ratio:
M : M : N = 1x : 1x : 2x
Thus,
The expression for the length of the hypotenuse is 2x.
Where x is any positive integer.
Learn more about triangles here:
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HELP ASAP! 2. in the figure, x is an exterior angle to the triangle below.
(a) explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the equation with the steps/work that proves this theorem.
Step 1: __
Step 2: __
Step 3: __
(b) what is the measurement of < x ?
Answer: 56°
Step-by-step explanation: 116° = 60 ° + X° ( Exterior angle is equal to sum
of 2 opposite interior angle)
X = 116° - 60°
X = 56°
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A bus leaves a bus station at 9:00 am and travels on the Eastbound Highway. A second bus leaves the same bus station 45 minutes later and travels in the same direction on the same highway at a speed of 20 kilometers per hour faster than the first bus. The second bus catches up with the first bus at 12:00. How fast was each bus traveling? (Include units in your answer. ) A. [3 pts) Define variables to represent the unknowns and setup the necessary equations to answer the question
The speed of the first bus is 60 km/h while the speed of the second bus is 80 km/h.
SpeedSpeed is the rate of change of distance with time. It is given by:
Speed = distance / time
Let a represent the speed of the first bus, and b represent the speed of the second bus.
b = a + 20
At 12:00, t = 3 hours, hence:
a = d/3
d = 3a
Also:
b = d/2.25
d = 2.25b
3a = 2.25b
3a = 2.25(a + 20)
a = 60
b = 60 + 20 = 80
The speed of the first bus is 60 km/h while the speed of the second bus is 80 km/h.
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What is the solution set for the inequality 4 - 5g > 39?
The solution set for the given inequality is [tex]g > -7[/tex]
Given the following inequality:
[tex]4 - 5g > 39[/tex]What is an inequality?An inequality can be defined as a mathematical relation that is typically used to compare two (2) integers or variables in an equation by illustrating any of the following:
Greater than (>).Less than (<).Greater than or equal to the other (≥).Less than or equal to the other (≤).Simplifying the inequality, we have:
[tex]4 - 5g > 39\\\\5g > 4-39\\\\5g > -35\\\\g > -7[/tex]
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Write 3 570 000 the following in scientific notation
A website streams movies and television shows to millions of users. Employees know that the average time a user spends per session on their website is 2 hours. The website changed its design, and they wanted to know if the average session length was longer than 2 hours. They randomly sampled 100 users and found that their session lengths had a mean of 2.75 hours and a standard deviation of 1.55 hours. The employees want to use these sample data to conduct at test about the mean.
Required:
Which conditions for performing this type of test did their sample meet?
Using the Central Limit Theorem, it is found that since the sample size is greater than 30, a normal approximation can be used, hence the test can be made.
Central Limit TheoremThe Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.
In this problem, the distribution of lengths is skewed, however, since the sample size is of 100 greater than 30, a normal approximation can be used, hence the test can be made.
To learn more about the Central Limit Theorem, you can check https://brainly.com/question/24663213
Answer:
The picture shows what you're looking for.
Step-by-step explanation:
Choices below
The exponential grows at approximately half the rate of the quadratic.
The exponential grows at approximately the same rate as the quadratic.
The exponential grows at approximately twice the rate of the quadratic.
The exponential grows at approximately four times the rate of the quadratic.
Answer:
The exponential grows at approximately half the rate of the quadratic.
Step-by-step explanation:
Average rate of change of function f(x) over the interval a ≤ x ≤ b :
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Interval: [tex]0\leq x\leq 1[/tex]
[tex]\implies a=0, b=1[/tex]
Quadratic function: [tex]f(x)=2x^2[/tex]
[tex]\implies f(0)=2(0)^2=0[/tex]
[tex]\implies f(1)=2(1)^2=2[/tex]
[tex]\implies \textsf{Average rate of change}=\dfrac{f(1)-f(0)}{1-0}=\dfrac{2-0}{1}=2[/tex]
Exponential function: [tex]f(x)=2^x[/tex]
[tex]\implies f(0)=2^0=1[/tex]
[tex]\implies f(1)=2^1=2[/tex]
[tex]\implies \textsf{Average rate of change}=\dfrac{f(1)-f(0)}{1-0}=\dfrac{2-1}{1}=1[/tex]
Therefore, the exponential grows at approximately half the rate of the quadratic in the interval [tex]0\leq x\leq 1[/tex]
What is the elasticity of demand between $1 to $2?
I say it's 10$ because surprise is on the side and quality is on the bottom surprised the line is hitting 10 which it will be $10
the reciprocal of each number?
2
1/3
0.6
-5
2 1/2
1.4
3.2
-4
Answer .5,3,1.66666666667,-.2,.4,.71428571428,.3125,-.25
Step-by-step explanation:
please help me with this
Answer:
Samantha is taller then Elisa
Step-by-step explanation:
I hope this helps you.
Answer: Samantha is taller then Elisa
hope this helps :) if i get this wrong then my bad
The figures are congruent because Figure ABCD maps onto Figure KLMN by a reflection and a translation.
The figures are congruent because Figure ABCD maps onto Figure KLMN by a rotation.
The figures are not congruent because Figure ABCD does not map onto Figure KLMN by a sequence of transformations.
The figures are not congruent because Figure ABCD only maps onto Figure KLMN by a dilation.
Answer:
The figures are not congruent because Figure ABCD does not map onto Figure KLMN by a sequence of transformations.
Step-by-step explanation:
Approximate the distance between (2,4) and (7,2) to the nearest tenth.
Answer:
5,2
Step-by-step explanation:
this is the distance of these points
i need help with this
Answer:
x = 2 square roots of 2
Step-by-step explanation:
it is a 45-45-90 triangle and in that the two legs are equal to each other so both are 2 and then the hypotenuse is x times the square root of 2
PLEASE ANSWER QUICKLY
Answer:
C. Both have the same y- intercept
Step-by-step explanation:
find the circumference of the circle if the area is 64 inches squared
Step-by-step explanation:
the area of a circle is
A = pi × r²
the circumference of a circle is
C = 2 × pi × r
so,
A = pi × r² = 64 in²
r² = 64 / pi
r = sqrt(64 / pi) = 8×sqrt(1/pi) in
the circumference is then
C = 2 × pi × r = 2 × pi × 8×sqrt(1/pi) = 16×pi×sqrt(1/pi) =
= 28.35926161... in
The size of your pool cover distance or area
Answer:
You solve this question
Step-by-step explanation:
Area = To work out the area of a square or rectangle, multiply its height by its width. If the height and width are in cm, the area is shown in cm².
Distance = It a numerical measurement of how far apart objects or points are.
Answer:
My pool's maximum depth: 6ft
My pool's full width: 10ft
My pool's full length: 12ft
(yea, it's pretty big!)
How do I find the area of my pool now?
First, let's start with the distance covered by the pool (area)
We can find that by just doing 10x12, which is 120
So, my pool's distance is 120ft²
EXTRA:
Now, the VOLUME of my pool...
we can find it by doing 6x10x12
6x10=60
6x12=72
60x12=720
So, my pool's VOLUME is 720ft.²
Thanks!
Answered by: FieryAnswererGT
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Jessica rented 1 video game and 3 movies for a total of 11.50$. the video game cost 4.75$ to rent the movies cost the same amount each to rent. what amount, in dollars, did Jessica pay to rent each movie
Answer:
It costs 2.25 to rent a movie
Step-by-step explanation:
11.50-4.75=6.75
6.75/3=2.25
Help meee please l don’t understand it’s a new topic
The unsorted stem-and-leaf diagram would look like this:
5 | 6, 3, 5, 0, 2
3 | 2, 7, 3, 3, 4
2 | 6, 9, 1, 1
1 | 7, 1, 1, 6, 8
4 | 4, 2, 4, 3, 4
Basically, you separate the given set of numbers by their whole number part (the digit before the decimal) and list the numbers' fractional part (digit after the decimal) in the order you see them.
The sorted diagram would then be
1 | 1, 1, 6, 7, 8
2 | 1, 1, 6, 9
3 | 2, 3, 3, 4, 7
4 | 2, 3, 4, 4, 4
5 | 0, 2, 3, 5, 6
What is the IQR for the data set? {61, 70, 59, 55, 69, 59, 62} Drag and drop the correct answer into the box.
Answer:
10
Step-by-step explanation:
Interquartile Range Formula:
IQR = Q3 - Q1
Quartiles Quartiles:
Q1 --> 59
Q2 --> 61
Q3 --> 69
69 - 59 = 10
[RevyBreeze]
Answer:
10
Step-by-step explanation:
The IQR(interquartile range is the sencond highest number subtracting 2 lowest number unlike range is highest subtract lowest
Hope this helps have a great day:)
PLEASE HELP ASAP WILL GIVE BRAINLIEST
(a)Find the greatest common factor (GCF) of 20 and 15.
(b)Use the GCF to factor 20 – 15.
Answer:
A.) 5
B.) 5
Step-by-step explanation:
Factors of 15 are: 1, 3, 5, 15
Factors of 20 are: 1, 2, 4, 5, 10, 20
What does the C mean in these problems?
Answer:
[′präb·ləm ‚def·ə‚nish·ən] (computer science) The art of compiling logic in the form of general flow charts and logic diagrams which clearly explain and present the problem to the programmer in such a way that all requirements involved in the run are presented.
Solve the following equation
7 • 10^n = 7000
Answer:
N=3
Step-by-step explanation:
7.10^n =7000
10^n =1000
10^n = 10^3
(coz bases are the same powers are equal)
Therefore n =3
4−10 =84 what is the answer n explanation
Answer:
x=23.5
Step-by-step explanation:
4x-10=84
+10 +10
4x=94
x=94/4
94/4=23.5
Hope this Helps!
If not I am sorry.
Solve:
+8 + (-8) +3 - (+3)
Answer:
0Step-by-step explanation:
Solve:
8 + (-8) +3 - (+3)
8 - 8 + 3 - 3 =
3 - 3 =
0
Can someone help me with this question? I need help ASAP ⚠️⚠️
One can of frosting covers about 280 square inches, Is one fan of frosting enough to frost the cake?
- fill in the blanks
Answer:
frist brack answers is 32and sandebracket and is55and third bracket and is 98
Original price $69.80 with a 15% discount, what is the new price.
Answer:
$59.33
Step-by-step explanation:
To begin, let's start with what we know
Item = 69.80
Discount = 15% or 0.15
So, let's put it into this formula
New Price = Item ( 1 - Discount) Note: P is the final price
= 69.80 ( 1 - 0.15)
= 69.80 ( 0.85 )
= 59.33
The new price is $59.33.
If you have any questions, please let me know in the comments. If you could mark this answer as the brainliest, I would greatly appreciate it!
Answer:
$59.33
Step-by-step explanation:
To find the new price, we need to know what is 15% of 69.80, and then subtract the result from 69.80. To find the percent, we multiply the number by the percent using decimals for the percent. 15% is 0.15, so we multiply 69.80 * 0.15 = 10.47
Next, subtract 10.47 from 69.80.
69.80 - 10.47 = 59.33
The new price is 59.33.
Another method is that since 69.80 is 100 percent, then the new price will be 100% - 15% = 85%. Multiply the 85 percent by 69.80, and find your answer.
0.85 * 69.80 = 59.33
Hope this helps.
This is math please help me I need the answer quick
The base of the exponential function is 3.
How to identify the base?Here we have the graph of an exponential function of the form:
f(x) = b^x
We want to find the value of b.
Remember that any number with an exponent of 1 is equal to the number:
a^1 = a
Then, we will have:
f(1) = b^1 = b
If you look at the graph, you can see that when x = 1, the function is equal to 3.
Then:
f(1) = 3 = b
From this, we can conclude that the base is equal to 3.
If you want to learn more about exponential functions, you can read:
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How do you work out this
Step-by-step explanation:
5x+4x=180°(Co-interior angles)
9x=180°
X=180/9
X=20
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