Answer:2.86.
Step-by-step explanation:
We can use the geometric distribution to solve this problem. The geometric distribution models the number of trials needed to achieve the first success in a sequence of independent trials with a constant probability of success.In this case, the probability of success (the teacher tripping over the cords) is 0.35. Therefore, the expected value or mean of the geometric distribution is 1/0.35 ≈ 2.86.So, on average, students need to wait for 2.86 periods until the teacher trips over the cords in her classroom.Therefore, the answer is 2.86.
493÷16
And I need to show my work
Answer: 493/16
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 493 and 16 is 1
Divide both the numerator and denominator by the GCD
493 ÷ 1
16 ÷ 1
Reduced fraction:
493
16
Therefore, 493/16 simplified to lowest terms is 493/16. or 30.8125
A and B are mutually exclusive events. P(A) = 0.20 and P(B) =
0.50.
What is P(A or B)?
Is c=8 a solution to the equation 2(c-3)=10?
2(c - 3) = 10
Let's evaluate the equation for c = 8
2(8 - 3) = 10
2(5) = 10
10 = 10
Which is true. Therefore c = 8 is a solution for the equation.
Solve | x - 6 | = 8
A: x = 14 and x = -14
B: x = 14 and x = -2
C: x = -14 and x = -2
D: x = -14 and x = 2
Answer:
B
Step-by-step explanation:
Answer:
x=-2 or x=14
Step-by-step explanation:
since it's absolute value, this actually has two equations:
x-6=8
and
x-6=-8
we solve x-6=8 by adding 6 to both sides which equals x=14
we solve x-6=-8 by also adding 6 to both sides which equals x= -8+6= -2
I hope this helps! and please mark brainliest!
If you close your eyes and choose a ball, what is the probability that it will be green? Simplify to lowest terms.
If you were to close your eyes and pick a ball then the probability of picking a green ball is 3 / 14.
How to find the probability ?To find the probability of picking a green ball, the formula is :
= Number of green balls / Number of total balls
The number of green balls would be 3 balls.
The number of total balls is 14 balls.
The probability of picking a green ball is therefore :
= 3 / 14
This is the simplest form.
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can someone help me solve for x and show the work please
Answer:
D. -10
Step-by-step explanation:
The sum of a triangle = 180°, therefore,
64° + 63° + x + 63 = 180°
Add like terms
x + 190° = 180°
Subtract 190 from each side
x + 190 - 190 = 180 - 190
x = -10
Which expression is equivalent to
Help ‼️‼️‼️
The equivalent expression to 2/3 - 1/4x + 1/2x - 1/6 is given as follows:
1/2 + 1/4x.
What are like terms?Like terms are terms that share these two features:
Same letters. (algebraic variables).Same exponents.If two terms are like terms, then they can be either added or subtracted, that is, we can use them to simplify an expression.
The expression for this problem is defined as follows:
2/3 - 1/4x + 1/2x - 1/6.
The like terms are simplified as follows:
2/3 - 1/6 = 4/6 - 1/6 = 3/6 = 1/2.-1/4x + 1/2x = -1/4x + 2/4x = x/4.Hence the simplified expression is given as follows:
1/2 + 1/4x.
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Referring to a line segment with endpoints A and B, what does it mean to refer to AB with no line over it?
Answer: length of AB
Step-by-step explanation:
\(\overline{AB}\) represents the line segment from point A to point B
\(\overrightarrow{AB}\) represents ray from point A to infinity through point B
AB represents the length of the line segment from point A to point B.
Divide: 1/2÷1/10
SHOW WORK
Answer:
5
Step-by-step explanation:
1/2÷1/10=
1/2x10/1=
10/2=5
Answer:
the answer is 5
Step-by-step explanation:
keep change flip
1/2 x 10 =5
An Olympic-size swimming pool holds approximately 6×105 gallons of water. The capacity of this swimming pool is between which interval?
The capacity of this swimming pool is between B. 500 gallons to 1,000 gallons.
What is the capacity?Capacity refers to the product of the length, width, and height of a three-dimensional object or space.
The capacity of an object means the same as its volume.
Olympic-size swimming pools have the following standard dimensions:
Length = 50 m
Width = 25 m
Height = 2 m
Capacity of an Olympic swimming pool = 2,500 m³ (50 x 25 x 2)
= 660,000 gallons (2,500 x 1,000 ÷ 3.785)
An interval estimate shows the lower and upper limits.
6 x 105 gallons = 630 gallons
Thus, the capacity of the swimming pool is Option B.
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Question Completion with Answer Options:A. 100 gallons to 500 gallons
B. 500 gallons to 1,000 gallons
C. 1,000 gallons to 1,500 gallons
D. 1,500 gallons to 2,000 gallons
Find the sum: -11 + (-8) А 3 B -3 C 19 D -19
Which of the following examples has a unit price of $4.75? Select all that apply.
A) 2 cheeseburgers for $9.00
B) 2 burritos for $9.50
C) 10 sandwiches for $47.50
D) 5 pizzas for $26.50
E) 3 hats for $14.25
Answer:
B
Step-by-step explanation:
9.50 divided by 2 equals 4.75, so 1 unit would equal 4.75 (sorry if that was a bad explanation
Answer:
B) 2 burritos for $9.50
C) 10 sandwiches for $47.50
D) 3 hats for $14.35
Step-by-step explanation:
B) 9.50/2=4.75
C) 47.50/10=4.75
D) 14.35/3=4.75
a⃗ =⟨4, −3⟩ and b⃗ =⟨−1,−2⟩.
Represent a⃗ +b⃗ by using the head to tail method.
Use the Vector tool to draw the vectors, complete the head to tail method, and draw a⃗ +b⃗ . Do not draw any unnecessary vectors.
To use the Vector tool, select the initial point and then the terminal point.
The vector addition of vector a = < 4, - 3 > and b = < - 1, - 2 > is given by,
a + b = < 3, -5 >
The graph of the vector sum is given below.
The addition of vectors suggests the addition of the corresponding components of the involving vectors.
Given the vectors are:
a = < 4, - 3 >
b = < - 1, - 2 >
So doing vector addition we get,
a + b = < 4, - 3 > + < - 1, - 2 > = < (4 + (-1)), (-3+(-2)) > = < (4 - 1), (-3 -2) > = < 3, -5>
Head to tail method is a method to draw vector addition, where the initial point of a vector involved in vector addition is started from tail point of another vector involved in vector addition.
Using vector tool we draw the vector addition of given vectors 'a' and 'b' we get,
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Answer: Look at the image below
Step-by-step explanation: I took the test.
Step 1: Select Vector
Step 2: Click on (0, 0), then click on (4, -3); (for every point your going to have to click on where you start then where you want to go.)
Step 3: Click on (4, -3), then (3, -5). Why?: ((4 - 1), (-3 - 2)) = (3, -5)
Step 4: To complete the problem and thus completing the "head to tail" method, you need to click on the origin (0,0) and finally click on (3, -5)
Your answer should now look like mine, now go get that A.
help for brainliest and good luck
18 is the correct answer
Researchers in the Hopkins Forest (see Problem 7-16 from) also count the number of maple trees (genus
acer) in plots throughout the forest. The following is a histogram of the number of live maples in 1002 plots
sampled over the past 20 years. The average number of maples per plot was 19.86 trees with a standard
deviation of 23.65 trees.
a). If we took the mean of a sample of eight plots, what would be the standard error of the
mean?
b). Using the central limit theorem, what is the probability that the mean of the eight would be
within 1 standard error of the mean?
c). Why might you think that the probability that you calculated in (b) might not be very
accurate?
Suppose that a news article claims that 4% of allAmericans live with vision impairment. Astudy done on 200 Americans showed that9% of them had vision impairment.a) 200 Americans is a...Sample
Solution
Then it means that 200 Americans is a sample
A sample is just a part of a population
Question: "Estimate 8 x 572."
4580 or 4600 is the best answer I have gotten for this question
Please help me!! Find the distance between points (-7,-4) and (-2,0)
Answer:
This is odd since the answer is 9 units. The best option would most likely be D since that is the closet answer. Unless it tells you to round i would go with D.
Step-by-step explanation:
Annie's rectangular garden is 5 feet long and 3 feet wide. What is the area of her garden?
we know that
the dimensions of the first garden are------> 5 ft x 3 ft
perimeter first garden=2*[5+3]-----> 16 ft
the dimensions of the second garden are---> (5*2) ft x (3*2) ft
10 ft x 6 ft
perimeter second garden=2*[10+6]-----> 32 ft
so
The answer is
32
Find the surface area of the square pyramid.
S=
circumference of OC 7.5 m F G 76° C APARUMORISCHER
Answer: 570OC^2mFG
Step-by-step explanation: I did this in school! Trust Me! You can report if wrong!
What is the equation of the line tangent to y=x3+3x2+2 at its point of inflection.
The equation of the line tangent to y = x^3 + 3x^2 + 2 at its point of inflection is y = -3x - 1.
What is the equation of the tangent line?
To find the point of inflection, we need to take the second derivative of the function and set it to zero:
f(x) = x^3 + 3x^2 + 2
f'(x) = 3x^2 + 6x
f''(x) = 6x + 6
Setting f''(x) = 0, we get:
6x + 6 = 0
x = -1
So the point of inflection is (-1, f(-1)),
f(-1) = (-1)^3 + 3(-1)^2 + 2 = 2
So the point of inflection is (-1, 2).
To find the equation of the tangent line at this point, we need to find the slope of the tangent. The slope of the tangent is the first derivative evaluated at the point of inflection:
f'(x) = 3x^2 + 6x
f'(-1) = 3(-1)^2 + 6(-1) = -3
So the slope of the tangent line is -3.
Now we use the point-slope form of the equation of a line, with the point (-1, 2) and the slope -3:
y - 2 = -3(x + 1)
Simplifying, we get:
y = -3x - 1
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Change the equation from standard form into vertex form by completing the square.
y equals x squared plus 14 x plus 53
Which rule explains why these triangles are congruent?
Find the unknown coordinate so that
(2,_)
is a solution of 5x+2y=4.
If 5 kilos of Black Label cheddar cheese cost $24.80, what does 8 kilos of cheese cost?Make sure you round to the hundredths place since your answer is money.
This is a problem of proportions , were we know what a relationship between two quantities is, and want to find the relationship that is equivalent to it.
So we start saying that $24.80 is to 5 kilos, the same as some unknown price (let's call it "x") is to 8 kilos.
In math terms this is written as:
24.80 : 5 the same as (=) x : 8
which can also be written using fractions:
\(\frac{24.80}{5}=\frac{x}{8}\)Notice that in the above expression, we can solve for the unknown "x" (that means isolate x on one side of the equal sign) by multiplying both sides of the equation by the factor "8" thus cancelling the denominator on the right and leaving x on its own on that side of the equal sign:
\(x=\frac{24.80\cdot8}{5}=39.68\)So we see that the price we are looking for is $39.68 (for the 8 kilos of the cheese)
Alicia received the following seven scores on her math assignments.
80, 90, 10, 75, 90, 95, 99
Find the mean and median. Which measure of center best represents the data?
Answers:
Mean = 77Median = 90The median is the better measure of center=============================================
Explanation:
Part (1) Finding the mean
Add up the values to get
80 + 90 + 10 + 75 + 90 + 95 + 99 = 539
Then divide by 7 because there are 7 values in this list
539/7 = 77
The mean is 77
--------------------------
Part (2) Finding the median
First we'll need to sort the values from smallest to largest
{80, 90, 10, 75, 90, 95, 99}
will sort to
{10, 75, 80, 90, 90, 95, 99}
The middle most value is 90 since we have three items below it {10,75,80} and three items above it {90, 95, 99}.
The median is 90
--------------------------
Part (3) Which is the better measure of center?
Nearly all of the values are clustered from 75 to 99. The value 10 is an outlier since it's far from the main cluster. There are more technical processes used to find out if 10 is actually an outlier or not, but we won't deal with that right now.
The much smaller outlier pulls on the mean to make it smaller than what it should be. The mean 77 is too small to represent what the center should be. The median is not affected by outliers, which is why it's used in applications such as home prices.
The median 90 is the better measure of center.
Answer:
I tried c and i got it wrong
Step-by-step explanation:
its not c
What is 2/5 to the 5th power? (as a fraction)
Answer:
2/3125
Step-by-step explanation:
Answer:
32/3125
Step-by-step explanation:
(2/5)^5 = (2^5) / (5^5)
= 32 /3125 means 2·2·2·2·2 = 32; 5·5·5·5·5= 3125
you are opening a t-shirt store. you can have long sleeves or short sleeves, three different colors, five different designs, and four different sizes. how many different shirts can you make? leave answer as a whole number, do not include decimals. answer: 120
There are 120 different shirts you can make from different combinations of sleeves, colors, and sizes.
To find the number of different shirts that can be made, use the fundamental counting principle wherein we multiply the number of options for each characteristic:
Long sleeves or short sleeves: 2 options
Three different colors: 3 options
Five different designs: 5 options
Four different sizes: 4 options
2 x 3 x 5 x 4 = 120
Therefore, the total number of different shirts that can be made is 120.
This calculation assumes that all of the characteristics are independent and can be combined in any way, which means that each shirt can have a unique combination of long/short sleeves, color, design, and size.
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A blogger had 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.
Answer:
\(600, 900, 1350\)
Step-by-step explanation:
Given
\(a = 400\) -- initial subscribers
\(b = 1.5\) -- growth factor
Required
Determine the number of subscribers in the next three months
To do this, we make use of:
\(y = ab^x\)
In this case:
x is the number of months
y is the number of subscribers
So:
when x = 1;
\(y = ab^x\)
\(y = 400 * 1.5^1\)
\(y = 400 * 1.5\)
\(y = 600\)
when x = 2
\(y = 400 * 1.5^2\)
\(y = 400 * 2.25\)
\(y = 900\)
when x= 3
\(y = 400 * 1.5^3\)
\(y = 400 * 3.375\)
\(y = 1350\)
So, the next three number of subscribers is:
\(600, 900, 1350\)