Using the number line below find the
probability, as a decimal to the nearest
hundredth, that a point on HP lies between L
and K.
Answers
Answer:
0.3
Step-by-step explanation:
To find this probability, we need to know the distance from point H to P and the distance from point L to K, and then the probability of a random point in HP being inside LK will be the division of the distance from L to K by the distance from H to P:
H to P: distance = 15 - 5 = 10
L to K: distance = 10 - 7 = 3
Probability: LK/HP = 3/10 = 0.3
Related Questions
Your computer password has 4 capital letters followed by 4 digits. Your
friend randomly chooses 4 capital letters and 4 digits. How many different
passwords can be created?
Answers
10x10x10x10= 10,000
Final Answer: 4,569,760,000
4,569,760,000 different passwords can be created.
What is a Password?A password is a string of characters that allows access to a computer system or service.
How to solve it?There are 26 letters, four times. There are 10 numbers, four times. 26x26x26x26=456,976
10x10x10x10= 10,000
Final Answer: 4,569,760,000
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Two pyramids like the one below sit on top of the gates at the entrance to the bridge.
Which expression shows how to determine the minimum amount of cement used to make each of the pyramids?
1.1/3(10)(10)(12)
2.1/2(10)(10)(12)
3.4[1/2(10)(13)]+10(10)
4.4[1/3(10)(13)]+10(10)
Answers
Answer:
A
Step-by-step explanation:
Step-by-step explanation:
We need to find the volume of the pyramid. The volume of a square pyramid is denoted by: , where B is the base area and h is the height.
Here, we know that the height of the pyramid is 12 and that the square base has dimensions 10 by 10. That means the base area is just 10 * 10 and the height is h = 12.
Plug these into the equation:
Thus, the answer is A.
Hope this helps!
The lifespan of zebras in a particular zoo are normally distributed. the average zebra lives 20.5 years the standard deviation is 3.9 years.
use the empirical rule (68-95-99.7%) to estimate the probability of a zebra living less than 32.2 years.
Answers
The empirical rule tells us that approximately 99.7% of data in a normal distribution falls within three standard deviations of the mean. The lifespan of 32.2 years is three standard deviations from the mean lifespan of zebras in the zoo, so the probability of a zebra living less than 32.2 years is about 99.7%, which is very high.
To the lifespan of zebras being normally distributed, with a mean of 20.5 years and a standard deviation of 3.9 years.
To estimate the probability of a zebra living less than 32.2 years, we can use the empirical rule, also known as the 68-95-99.7 rule. This rule states that for a normal distribution:
Approximately 68% of the data falls within one standard deviation of the mean (both above and below).
About 95% fall within two standard deviations.
Almost all, or 99.7%, fall within three standard deviations.
To find the probability of a zebra living less than 32.2 years, we first calculate how many standard deviations away from the mean this is, which is called the z-score.
The difference between 32.2 and the mean is 32.2 - 20.5 = 11.7 years.
Dividing this by the standard deviation of 3.9 years, we get a z-score of approximately 3, indicating that 32.2 years is three standard deviations above the mean.
According to the empirical rule, the probability of a zebra living less than 32.2 years would include almost all of the distribution or approximately 99.7%.
Therefore, the probability of a zebra living less than 32.2 years is very high, close to 100%.
Which quadrilateral is a trapezoid?
Answers
Answer:
BACD the third one I hope that this is right
The correct quadrilateral which is a trapezoid is shown in image 3.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
There are three figures are shown.
Now, We know that;
A trapezoid, which is also known as a trapezium, is a closed shape which having 4 straight sides, with one pair of parallel sides.
Hence, By given figures.,
The correct quadrilateral which is a trapezoid is shown in image 3.
Because it has one pair of parallel sides.
Thus, The correct quadrilateral which is a trapezoid is shown in image 3.
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Helppp plzz! Four shapes are listed below.
I. Triangle
II. Parallelogram
III. Pentagon
IV. Hexagon
Which of these are possible cross sections of a cube?
A. I and II
B. I, II, and III
C. I, II, and IV
D. I, II, III, and IV
Answers
Answer:
the answers D all of them
Step-by-step explanation:
When a plane intersects a cube there is a variety of shapes of the resulting cross section.
a single point (a vertex of the cube)
a line segment (an edge of the cube)
a triangle (if three adjacent faces of the cube are intersected)
a parallelogram (if two pairs of opposite faces are intersected – this includes a rhombus or rectangle)
a trapezium (if two pairs of
a pentagon (if the plane meets all but one face of the cube)
a hexagon (if the plane meets all faces of the cube)
a pentagon (if the plane meets all but one face of the cube)
a hexagon (if the plane meets all faces of the cube)
The last five of these (the non-degenerate cases)
In a way we can get all the given shapes as a cross-section of a cube, the correct option is D
What is cross-section?A cross-section is the intersection of a plane in an object giving some specific shapes.
Given are the names of shapes, we need to identify we can be the possible shape for the cross-sections of a cube.
Since, when a plane intersects a cube there is are so many shapes getting as cross-section.
Therefore,
A triangle = three adjacent faces of the cube are intersected.
A parallelogram = two pairs of opposite faces are intersected (rhombus or rectangle)
A pentagon = the plane meets all but one face of the cube
A hexagon = the plane meets all faces of the cube
Hence, in a way we can get all the given shapes as a cross-section of a cube.
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A spinner is divided into eight equal sections. The sections are numbered 1, 2, 3, 4, 5, 6, 7, and 8. What is the probability of spinning a 2, 3, or a 4?
Answers
Answer:
A 30% chance
At the school carnival, Jade has a game booth with a spinner. The banner at her booth reads "80% chance of winning!" What is the chance that a player may not win?
Answers
Answer:
20%
Step-by-step explanation:
100-80=20
Answer:
20% chance a player may not win
Step-by-step explanation:
100- 80 = 20
Complete the statement. The lines shown in the graph have the same A) x-intercept. B) y-intercept. C) equation. D) slope.
Answers
Answer:
B. Y-intercept
Step-by-step explanation:
Here's the proof!
Answer: b/y-intercept
Step-by-step explanation:
i did it and got it right
A lunch menu consists of 4 different kinds of sandwiches, 5 different kinds
of soup, and 3 different drinks. How many choices are there of ordering a
sandwich, soup and drink?
Answers
Answer:
4 sandwich + 5 soup +3 drink
total = 20
choices of ordering a sandy , soup and drink =
3/12= 1/4
Final answer:
To determine the number of meal combinations, multiply the number of sandwich, soup, and drink options together. With 4 sandwiches, 5 soups, and 3 drinks, there are 60 different meal combinations.
Explanation:
The student's question is asking for the number of different combinations available when choosing one sandwich, one soup, and one drink from a menu with multiple options for each category. To calculate the total number of combinations, we apply the Fundamental Principles of Counting and use the Multiplication Principle. Since there are 4 kinds of sandwiches, 5 kinds of soup, and 3 drinks, the number of unique combinations can be found by multiplying these numbers together.
Number of combinations = Sandwich options × Soup options × Drink options
= 4 × 5 × 3
The calculation gives us 4 × 5 × 3 = 60 different combinations.
Solve 92x = 66.
Round to the nearest ten-thousandth.
Answers
Answer:
x = 66/92
Step-by-step explanation:
divide both sides by 92
Answer:
x=33/46
Step-by-step explanation:
92x/92=66/92
x=66/92
x=33/46
what is the volume of this pyramid in cubic inches?
Answers
Answer:
The answer is 80, you multiply the numbers together to get volume.
the volume of a pyramid is 80 cubic inches .
Given that -5 < -3, which statement is not true?
-5 is to the left of -3 on the number line.
-3 is to the right of -5 on the number line.
-3 > -5
-3 is less than -5,
Answers
D is incorrect because the higher the negative number is the less it becomes. So, the answer is -3 is less than -5.
a 5/1
b 1/5
c 5/4
d 4/5
Answers
Answer:
The answer is b 1/5
Step-by-step explanation:
There are 5 sections in the spinner and 1 of the 5 is a three so it would be 1/5.
An English teacher wants to know the
mean number of words students included
in recent essays. He randomly chooses
20 essays submitted by 180 students. He
records the word count of each one. His
data are shown below.
Answers
You add all the numbers together then divide by how many numbers there was. In this case all the numbers added to 6405. You divide by 20 because there were 20 numbers. This will get you to 320.25. The closest answer choice would be 320
In a survey of students, 60% were in high school. The percentage of the students who were not in high school was?
Answers
Answer:
Is it 40?
Step-by-step explanation:
Answer:
40%
Step-by-step explanation:
There is a total of 100%.
If you subtract the amount that are in high school (60%) from 100%, then you would get 40%. Hope this helps! :)
What are the solutions to the system of equations? y=2x2−6x+3 y=2x+3 Enter your answers in the boxes. ( _,_ ) and ( _,_ )
Answers
Answer:
(0,3) and (4,11)
Step-by-step explanation:
Answer:
(0,3) AND (4, 11)
Step-by-step explanation:
y = 2(x^2) - 6x + 3
y = 2x + 3
Substitute
2x + 3 = 2(x^2) - 6x + 3
0 = 2(x^2) - 8x -->
0 = 2x(x - 4)-->
x = 0; 4 -->
y = 2(0) + 3 -->
y = 3
AND
y = 2(4) +3 -->
y = 11
(0,3) AND (4, 11)
Sal owns a clothing store that sells shorts and graphic T-shirts. He sells the
shorts for $14 each and the T-shirts for $6 each and. He is limited to the
constraints show by the set of inequalities below. Which of the points (s, t)
will maximize Sal's profit?
SS 30 - 37
s215 - +
SS 25 - 7
s20
t20
O A. (7.5, 7.5)
O B. (22.5, 2.5)
O c. (25,0)
Answer: (25,0) aka. C
Answers
Answer:
c. (25,0)
Step-by-step explanation:
Hope this helps!
The maximum profit is achieved at (25, 0), which means Sal should sell 25 shorts and 0 T-shirts to maximize his profit. So, the answer is (C) (25, 0).
What is profit?Profit is simply the difference between total revenue and total expenses. It shows you how much money your company made after expenses.
Profit, as the primary goal of any business, is a clear indicator of how your company is functioning and performing in the market.
To maximize the profit, we need to use the objective function, which is given by:
P = 14s + 6t
Where s is the number of shorts sold and t is the number of T-shirts sold.
The constraints are:
s + t ≤ 30 (constraint on the total number of items sold)
2s + 5t ≤ 75 (constraint on the amount of shelf space)
The feasible region is the shaded area above.
We can now evaluate the objective function at each corner point of the feasible region to find the maximum profit:
At (0, 20), P = 6(20) = 120
At (7.5, 7.5), P = 14(7.5) + 6(7.5) = 165
At (15, 15), P = 14(15) = 210
At (20, 5), P = 14(20) + 6(5) = 290
At (25, 0), P = 14(25) = 350
Therefore, the answer is (C) (25, 0).
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Let m=6x+5m=6x+5m, equals, 6, x, plus, 5.
Which equation is equivalent to (6x+5)^2-10=-18x-15(6x+5)
2
−10=−18x−15left parenthesis, 6, x, plus, 5, right parenthesis, squared, minus, 10, equals, minus, 18, x, minus, 15 in terms of mmm ?
Answers
We have been given that [tex]m=6x+5[/tex]. We are asked to rewrite the equation [tex](6x+5)^2-10=-18x-15[/tex] in terms of m.
First of all, we need manipulate right side of our given equation.
We will factor out -3 from right side of equation as:
[tex](6x+5)^2-10=-3(6x+5)[/tex]
Upon substituting [tex]m=6x+5[/tex] in our equation, we will get:
[tex](m)^2-10=-3(m)[/tex]
[tex]m^2-10=-3m[/tex]
Upon writing this equation in general form of equation, we will get:
[tex]m^2+3m-10=-3m+3m[/tex]
[tex]m^2+3m-10=0[/tex]
Therefore, the equation [tex]m^2+3m-10=0[/tex] is equivalent to our given equation.
Which fraction is equal to 5 3/4 ?
12/4
15/4
23/4
53/4
Answers
expand and simplyfy 2(3x-5) +3(2x+3)
Answers
6x-10
6x+9
Answer:12x-19
I think it needs to be a + but I am not sure
Answer:
[tex]12x-1[/tex]
Step-by-step explanation:
Considering the expression:
[tex]2(3x-5) +3(2x+3)[/tex]
[tex]6x-10+6x+9\\12x-1[/tex]
If the dimensions of a solid proportionally increase by a scale factor of 5/2, by what factor does the surface area increase?
A. 5/2
B. 5/4
C. 25/2
D. 25/4
Answers
Answer:
D
Step-by-step explanation:
Given that the dimensions of a solid are in proportion a : b, then
then the ratio of the area is a² : b²
Thus
scale factor = [tex]\frac{5}{2}[/tex] , then
area factor = [tex]\frac{5^2}{2^2}[/tex] = [tex]\frac{25}{4}[/tex] → D
Answer:
D
Step-by-step explanation:
Four times the square of a certain number increased by 6 times the number equals 108. Find the number
Answers
So to do this you’ll make an equation x will represent the number so 4x^2+6x=108 so we want the equation to equal 0 so we can solve it to do that you have to subtract 108 from both sides so it ends up being 4x^2+6x-108=0 we want to isolate the x onto one side and division property allows us to divide both sides by 2 the reason it’s two is because 2 is the biggest divisible number that every number in the equation is divisible by so once you divide every number by two you get 2x^2+3x-54=0 now you have to factor cause but since you only have 3x and nothing else to factor with you have to write 3x as a difference so you could do 2x^2+12x-9x-54=0 so you are complicating the problem so you can factor out 2x from the expression so 2x(x+6)- 9(x+6)=0 the 54 got factored because it’s divisible by 9 that 6 is in replace of the 54 cause if you solved it 9x6 is still 54 next factor out x+6 so (x+6) x (2x-9) =0 so one of the two have to equal 0 so right the equations separately x+6=0 minus 6 from both sides and you’ll get x to equal -6 and 2x-9=0 add 9 to both sides and you’ll get 2x=9 divide both sides by 9 and you’ll get x to equal 4.5 when you plug 4.5 and -6 for x the equation works out
y = |x| translated one unit to the left 30 POINTS
Answers
Answer:
y = |x+1|
Step-by-step explanation:
To shift a function left, add inside the function's argument: f (x + b)
y = |x|
We will add 1 to x
y = |x+1|
To shift a function right, subtract inside the function's argument: f (x - b)
Answer:
y = |x+1|
Step-by-step explanation:
In y = |x|, the vertex is at (0,0)
When translated one unit left, vertex will be at (0,-1)
Equation:
y = |x - (-1)|
y = |x+1|
Una rampa para descargar mercancía mide 2m. Si la distancia a la que se coloca la rampa es igual a la altura, ¿qué altura alcanza?
Answers
Answer:
~14.14m.
espero que esto ayude :)
3. A savings account is started with an initial deposit of $500. The account earns 1.5% interest compounded
annually.
(a) Write an equation to represent the amount of money in the account as a function of time in yea
(b) Find the amount of time it takes for the account balance to reach $800.
Answers
The equation for the amount in a savings account over time is provided, and the time to reach a balance of $800 is calculated.
The equation representing the amount of money in the account over time is A(t) = [tex]500(1 + 0.015)^t[/tex] where t is the number of years.
To find the time it takes for the account balance to reach $800, we substitute $800 for A(t) in the equation and solve for t.
For $800 = [tex]500(1 + 0.015)^t[/tex], solving for t gives t = 7.31 years.
A polynomial of the 5th
5thdegree with a leading coefficient of 77 and a constant term of66
Answers
Answer:
77x^5+66
Step-by-step explanation:
The leading coefficient is the first number in the polinomial, the degree is the exponent and the constant is the last term
Answer:
7x5 + 2x2 + 6
Step-by-step explanation:
like it up!
Can someone please help me
Answers
will give the brainliest!!!
Answers
the answer should be 320.4
Answer:
320.4
Step-by-step explanation:
On a coordinate plane, 2 lines intersect at (0, 5). What is the solution of the system of equations? ( , )
Answers
Answer:
(0,5)
Step-by-step explanation:
I think...
I'm 99.9% sure that I'm wrong...
it issssssss (0,5) booooooooooooooom now you get a A+ on yo assinement ITS COREECT ON EDGEUNITEE
If Pamela was given a 15% off her $71 purchase, how much was the discount? *