The probability that a randomly selected marble is either large or green is approximately 0.6333 or you can express it as a fraction: 19/30.
Consider the total number of marbles that satisfy either of these conditions.
Total large marbles: 19
Total green marbles: 5
However, the large marbles include the green marbles, so we need to subtract the overlap:
Number of large green marbles: 5
Total marbles that are either large or green = Total large marbles + Total green marbles - Number of large green marbles
Total marbles that are either large or green = 19 + 5 - 5
= 19
Now, we'll find the probability by dividing the total marbles that are either large or green by the total number of marbles:
Probability = (Total marbles that are either large or green) / (Total number of marbles)
Probability = 19 / (19 + 11)
Probability ≈ 0.6333 (rounded to four decimal places)
Therefore, the probability that a randomly selected marble is either large or green is approximately 0.6333 or you can express it as a fraction: 19/30.
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The probability that randomly selected marble from the box is large or green is 0.7667.
Explanation:The probability of selecting a large or green marble from a box can be found by analysing the given information. We have 19 large marbles, out of which 5 are green. We also have 11 small marbles, out of which 6 are small and green since small marbles cannot be large. This means there are a total of 30 marbles (19 large and 11 small), and 9 of them are green. To calculate the probability that a marble is large or green, we need to include all large marbles (since they meet one condition) and add the small green marbles (since they meet the other condition, but aren't already counted with the large marbles).
The number of favorable outcomes is therefore 19 (large marbles) plus 4 (small green marbles), since 5 large marbles have already been counted as green, we don't count them again. That makes a total of 23 favorable outcomes. The probability is the number of favorable outcomes divided by the total number of marbles:
Probability = 23 / 30. As a decimal rounded to four places, this is approximately 0.7667.
The radius of a cylindrical construction pipe is 2ft . if the pipe is 23ft long, what is its volume? use the value 3.14 for π , and round your answer to the nearest whole number. be sure to include the correct unit in your answer.
Which of the following angles is in the solution set of sec^2θ - 3secθ - 2 = 0 for 0° ≤ θ < 360°.
A. 0°
B. 56°
C. 60°
D. 74°
The sum of the circumference of a circle and the perimeter of a square is 16. find the dimensions of the circle and square that produce a minimum total area. (let x be the length of a side of the square and r be the radius of the circle.)
Suppose you had d dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality that represents this situation.
A) d + 22 ≤ 28; d ≤ 72
B) d – 22 > 28; d > 50
C) d + 22 ≥ 28; d ≥ 72
D) d – 22 ≥ 28;d ≥ 50
Answer:
D) d – 22 ≥ 28;d ≥ 50
Step-by-step explanation:
Let d represents the initial money ( in dollars ) in the account,
So, after spending $ 22 the remaining amount = initial amount - $ 22 = (d-22) dollars,
According to the question,
The remaining amount ≥ $ 28
⇒ d - 22 ≥ 28
Adding 22 on both sides, ( additive property of inequality ),
⇒ d ≥ 50
Hence, the required inequality and its solution would be,
d - 22 ≥ 28; d ≥ 50
Option 'D' is correct.
How many three quarter pound burgers can be made with twelve pounds of hamburger?
Answer:
[tex]16\ burgers[/tex]
Step-by-step explanation:
Let
n ----> the number of burgers
x ----> the total pounds of hamburger
we know that
To find out the number of burgers, divide the total pounds of hamburger by three quarter pound (3/4 lb)
we have
[tex]x=12\ lb[/tex]
so
[tex]n=\frac{12}{(3/4)}=\frac{48}{3}=16\ burgers[/tex]
This results in 16 burgers. To find out how many three quarter pound burgers can be made with twelve pounds of hamburger, you divide the total pounds of hamburger by 0.75.
First, you need to perform a division calculation.
Note that a three quarter pound burger is equivalent to 0.75 pounds.
Determine how many three quarter pound burgers equal twelve pounds by dividing the total pounds of hamburger by the weight of one burger:12 pounds ÷ 0.75 pounds per burger = 16 burgers.Therefore, you can make 16 three quarter pound burgers with twelve pounds of hamburger.
Use the formula C = 2πr and π= 3.14 to find the circumference of a circle with a radius of 5 meters.
A.15.7 m
B.78.5 m
C.3.140 m
D.31.4 m
E.34.54 m
Solve for x. 9≤17−4x Enter your answer, as an inequality, in the box.
The first thing you need to do is get rid of the 17 to leave -4x isolated..
so subtract -17 from 9 = -8 ≤-4x divide -4 from both sides = x≤2
Which scientist arrived at a fairly accurate calculation of the value of pi?
If 8 ounces of a sports drink contain 110 milligrams of sodium what is the total number of milligrams of sodium in 20 ounces of the sports drink
A boat takes 3.6 h to travel downstream from its dock to a fishing hole. If the water were still, it would have taken 4.5 h to make the trip. Let x represent the speed of the boat and let y represent the speed of the water.
(a) Write an expression for the distance traveled in moving water, using 3.6 h for the time. Then write an expression for the distance traveled as if in still water, using 4.5 h for the time.
(b) Set the expressions in Part (a) equal to each other. Then solve the equation for y. Show your work.
(c) What percent of the boat’s speed is the water current?
The composition do,0.75(x,y) ∘ do,2(x,y) is applied to △lmn to create △l''m''n''. which statements must be true regarding the two triangles? check all that apply. ∠m ≅ ∠m'' △lmn ~ △l''m''n'' △lmn ≅ △l''m''n'' the coordinates of vertex l'' are (-3, 1.5). the coordinates of vertex n'' are (3, -1.5). the coordinates of vertex m'' are (1.5, -1.5).
Answer:
A. ∠M ≅ ∠M''
B. △LMN ~ △L''M''N''
E. The coordinates of vertex N'' are (3, -1.5).
Step-by-step explanation:
Transformation involves changing the position and size of a shape.
The true statements are:
[tex]\mathbf{\angle m \cong \angle m"}[/tex].[tex]\mathbf{\triangle lmn \sim \triangle l"m"n"}[/tex].The coordinates of n" are [tex]\mathbf{N" = (3,-1.5)}[/tex].The coordinates of the triangle are:
[tex]\mathbf{L = (-1, 2)}[/tex]
[tex]\mathbf{ M = (-1, -1)}[/tex]
[tex]\mathbf{N = (2, -1)}[/tex]
The transformation rule is given as:
[tex]\mathbf{do, 0.75(x,y)\circ,2(x,y)}[/tex]
The transformation rule is a dilation by a factor of 0.75, and then a factor of 2.
Uniform dilation changes the size of a shape, but the angles remain unchanged. This means that:
[tex]\mathbf{\angle l \cong \angle l"}[/tex].[tex]\mathbf{\angle m \cong \angle m"}[/tex].[tex]\mathbf{\angle n \cong \angle n"}[/tex].[tex]\mathbf{\triangle lmn \sim \triangle l"m"n"}[/tex]The above highlights means that:
The angles of both triangles are congruentThe triangles are similarNext, we apply the rule on the coordinates of the triangle
[tex]\mathbf{L" = 0.75 \times 2 \times (-1,2)}[/tex]
[tex]\mathbf{L" = (-1.5,3)}[/tex]
[tex]\mathbf{M" = 0.75 \times 2 \times (-1,-1)}[/tex]
[tex]\mathbf{M" = (-1.5,-1.5)}[/tex]
[tex]\mathbf{N" = 0.75 \times 2 \times (2,-1)}[/tex]
[tex]\mathbf{N" = (3,-1.5)}[/tex]
Hence, the true statements are:
[tex]\mathbf{\angle m \cong \angle m"}[/tex].[tex]\mathbf{\triangle lmn \sim \triangle l"m"n"}[/tex].The coordinates of n" are [tex]\mathbf{N" = (3,-1.5)}[/tex].Read more about transformations at:
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The graph of a linear function h contains the points given in the table below.
Find h^-1. x y
-2,4
-1,2
1,-2
2,-4
a.h^-1(x)=2x
b.h^-1(x)=-2x
c.h^-1(x)=1/2x
d.h^-1(x)=-1/2x
Answer:
h-1(x) = -x
Step-by-step explanation:
20 P[OINTS!!!!!! ppppppllllllllllleeeeeeeeeeeeeeeaaaaaaaassssssseee help asap!!!!!!!
A quadrilateral is shown on the graph:
What effect will a reflection about the x-axis have on the quadrilateral? Be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image.
Answer:
The angles and side length would remain the same, the only thing that would change is the cornents, therefore the original pre image and the image would be congruent.
Step-by-step explanation:
In how many distinct ways can the letters in engineering be arranged?
Joanne had $115 to spend at the mall. She spent 23% of that money on a shirt. How much did Joanne spend on the shirt?
What is the exact value of tan (-pi/3)?
Answer:
[tex]-\sqrt{3}[/tex]
Step-by-step explanation:
we know that
[tex]tan(-\frac{\pi}{3})=-tan(\frac{\pi}{3})[/tex]
and
[tex]tan(\frac{\pi}{3})=\frac{sin(\frac{\pi}{3})}{cos(\frac{\pi}{3})}[/tex]
remember that
[tex]cos(\frac{\pi}{3})=\frac{1}{2}[/tex]
[tex]sin(\frac{\pi}{3})=\frac{\sqrt{3}}{2}[/tex]
substitute the values
[tex]-tan(\frac{\pi}{3})=-\frac{(\sqrt{3}/2)}{(1/2)}\\ \\=-\sqrt{3}[/tex]
Select the table that represents the following graph.
The stuff is on the links/screenshots
Answer:
The first image in your answer choices
Explanation:
To find the table of solutions for the given graph, we observe points on the graph that are intersected by the line.
The easiest starting point is often where the line intercepts (or crosses) the vertical y-axis. This occurs one unit above the origin (0,0), so we would say list this point as ordered pair (0, 1). This eliminates the third and fourth tables as answer choices.
Now we use the horizontal x-axis to find other points that the line crosses through. Starting at x = 1, we can see the line goes through the point 4 units above the x-axis here; therefore, its ordered pair is (1, 4). This eliminates the second table as an answer choice.
Let's use one more point to confirm we have the right choice. Starting at x = -1, we can see the line goes through the point 2 units below the x-axis here; therefore its ordered pair is (-1, -2).
The first table contains all of these ordered pairs (0, 1), (1, 4), and (-1, -2), making it your answer choice.
Both equations in a system of linear equations have y-intercepts at (0,2). is it possible for this system to have only one solution?
Both equations in a system of linear equations have y-intercepts at (0,2) but it is not possible for this system to have only one solution because it depends on another point as well.
Given :
Both equations in a system of linear equations have y-intercepts at (0,2).
The following steps can be used in order to determine the system have only one solution or not:
Step 1 - According to the given data, both equations in a system of linear equations have y-intercepts at (0,2).
Step 2 - The equation of a line is given by:
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Step 3 - From the above steps, it can be concluded that it does not say that the system to have only one solution because it depends on another point as well.
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Find the roc of the volume of a cube with respect to the length of its side s when s = 25.
Solve for x.
2x−45=x+4
What is 187.023 in word form
1. use the zero product property to solve the equation. (x-9)(x-8)=0
Answer:
X= 8 or 9
Step-by-step explanation:
Bob ate 10 carrots and 7 hershey's kisses and the total calories were 263. fred ate 4 carrots and 8 hershey's kisses and the total calories were 230. how many calories are in a carrot and a hershey's kiss? (the answer is not a scientific truth, only made up numbers!!!)
some integers are whole numbers? true or false
When rewriting y = 2x + 1 in function notation, what do you replace with f(x)?
Suppose that a number written as a decimal has an infinite number of non–repeating digits after the decimal point. what is this number called?
When a number has an infinite number of non-repeating digits, which is called a non-terminating decimal value, then such number is an irrational number such as 1.3127...
Irrational number are real numbers which cannot be expressed in the form of p/q ; that is they cannot be expressed accurately as a ratio.They are characterized as having repeating decimal values as well as non-terminating decimal digits. When a number has unending or infinite number of non-repeating digits, it is said to be non-terminating, hence, such number is called an irrational number.
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Should your calculator be in radians or degrees for physics
Geometry! What describes line FI?
Mr. Greenjeans planted 6 different crops on 2 acres of land. If half of it was planted with green beans, how many acres were planted with green beans?
To determine how many acres were planted with green beans, we simply take half of the total acreage. Mr. Greenjeans planted a total of 2 acres, so half of this is 1 acre; therefore, 1 acre was planted with green beans.
The question is asking how many acres were planted with green beans, given that Mr. Greenjeans planted crops on 2 acres of land and half of it was with green beans. To find the answer, we need to calculate half of the total land area.
Here is the step-by-step explanation:
Start with the total number of acres: 2 acres.Since half of the land was planted with green beans, we divide the total acres by 2.2 acres / 2 = 1 acre.Therefore, Mr. Greenjeans planted 1 acre of land with green beans.