The bin should contain 30 rock CDs, which constitutes half of the total CDs (60). This conclusion is reached by dividing the total number of CDs by 2, as the question implies an equal probability of picking a rock or classical CD.
Explanation:The question pertains to the concept of probability in mathematics. Here, the total number of CDs is specified as 60. If choosing a rock CD has the same number of favorable outcomes, it means that half of the CDs are rock CDs (as the other half would then be classical CDs). So, to find the number of rock CDs in the bin, you simply divide the total number of CDs by 2. Here, 60 CDs divided by 2 equals 30. Thus, there are 30 rock CDs in the bin.
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The table represents f(x), and the graph represents g(x). Which statements about the functions are true for the interval [4, 10]?
x f(x)
______
3 1.33
4 1
5 0.8
6 0.66
10 0.4
Select ALL that apply
1- The average rate of change of f(x) is greater than the average rate of change of g(x).
2- The average rate of change of f(x) is less than the average rate of change of g(x).
3- Both functions have the same average rate of change.
4- The average rate of change of f(x) is 0.1, and the average rate of change of g(x) is 0.25.
5- The average rate of change of f(x) is -0.1, and the average rate of change of g(x) is -0.25.
Answer:
1- The average rate of change of f(x) is greater than the average rate of change of g(x).
5- The average rate of change of f(x) is -0.1, and the average rate of change of g(x) is -0.25.
Step-by-step explanation:
average rate of change of a function h(x) in the interval [a, b] is computed as follows:
average rate of change = h(b) - h(a)/(b - a)
So, for f(x) (see table):
average rate of change = f(10) - f(4)/(10 - 4) = (0.4 - 1)/(10 - 4) = -0.1
And for g(x) (see figure):
average rate of change = g(10) - g(4)/(10 - 4) = (1 - 2.5)/(10 - 4) = -0.25
In this Punnett square, what is the ratio of homozygous to heterozygous offspring? In the Punnett square, what percentage of the offspring are homozygous recessive?
A rectangular table is twice as long as it is wide. If it was 3 meters shorter and 3 meters wider it would be a square. What size is the table?
Fond the value of x and the unknown angle in each problem
What must you do if you multiply one number in a ratio by n?
Answer:
multiply the others by n
Step-by-step explanation:
If you want to keep the same ratio, you must multiply all of the numbers by n.
A ratio of 1 : 1 will remain 1 : 1 if all the numbers are multiplied by n:
1 : 1 = n : n
_____
Comment on alternate interpretation of the question
There are occasions for multiplying the ratio by n:
x/n = 1/2
To solve this for x, we multiply the ratio (1/2) by n. This multiplies the numerator, but does not change the denominator.
x = n(1/2) = n/2
A bowl contains 24 marbles consisting of 6 white marbles, 8 blue marbles, 7 black marbles, 3 red marbles. What is the probability of drawing a red marble?
A. 6/24
B.5/25
C.1/8
D.7/8
The probability of drawing a red marble is 1/8.
The correct option is C.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
Total marbles = 24
White marble = 6
Blue marble = 8
Black marble = 7
Red marble = 3
So, the probability of drawing a red marble
= 3 / 24
= 1/8
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HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPP
Part A: Write an algebraic expression for 6 more than 7 times a number.
Part B: Write a verbal expression for 3(n + 8).
Write a story problem about 40 apples and 17 pears
Find the area. The figure is not drawn to scale
Answer:
D) 704 in.²
Step-by-step explanation:
The area is height × width.
So, the area =32 × 22 = 704 in.²
Randall bought a notebook for $8 and 6 highlighters. He spent a total of $20.how much did each highlighter cost
Does a trapezoid have obtuse angles
A glider is gliding at an altitude of 295 ft. An airplane is flying at an altitude of 46 comma 020 ft. How many times higher is the airplane than the glider? How many times higher would the airplane be than the glider if the altitude of the glider was only 156 ft?
choose an object that is the same length as a real baseball bat explain how to estimate its length in feet
Tom mowed lawns for the summer. In June he deposited $120 the first week, $80 the second week, and $75 the following week. Then the mower needed repairs, so Tom had to withdraw $30 from his account. How much money did he have left in his account at the end of June?
What is 1/2 + 3/4???
Solve 6(z+6)=3(2z+12) Please. Giving brainliest for the brainliest answer.
A = bh/2 solve for b
The value of b in the equation is [tex]b=\frac{2A}{h}[/tex].
What is simplification of an equation?Simplification of an equation is the process of writing an equation in the most efficient and compact form without affecting the value of the original equation.
For the given situation,
The equation is [tex]A=\frac{bh}{2}[/tex]
The equation can be simplified as
⇒ [tex]A=\frac{bh}{2}[/tex]
⇒ [tex]2A=bh[/tex]
⇒ [tex]b=\frac{2A}{h}[/tex]
Hence we can conclude that the value of b in the equation is [tex]b=\frac{2A}{h}[/tex].
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Find the coordinate that divides the directed line segment from A(-2,-4) to B(8,1) in the ratio of 2 to 3
Witch is bigger 8 yards or 20 feet
what is the solution to the equation 1/3 x = 6
In the figure, m and n are rays. Which statements are true? Select each correct answer.
A: m∠3=m∠1
B: m∠2=60°
C: m∠1=60°
D: m∠3=120°
The statements that are true about the intersecting rays are
A) m∠3 = m∠1
B) m∠2 = 60°
D) m∠3 = 120°
What are the angles formed by 2 intersecting lines?Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.
Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
Given data ,
Let the two intersecting lines be m and n
Now , the angles formed are shown in the diagram
where the measure of ∠1 = ∠3 ( Opposite angles are congruent )
Now , the measure of ∠2 = 180° - ( 65° + 55° ) ( angles in a triangle = 180° )
The measure of ∠2 = 60°
So , the measure of ∠3 = 180° - ∠2 ( Adjacent angles are supplementary = 180° )
And , the measure of ∠3 = 120°
Hence , the angles in the intersecting lines are solved
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Multiply: (2x2 − 5x)(4x2 − 12x + 10)
A) 8x4 − 44x3 + 40x2 − 50x
B) 8x4 − 4x3 + 40x2 − 50x
C) 8x4 − 44x3 + 80x2 − 50x
D) 8x4 − 4x3 − 40x2 + 50x
The sum of two numbers is 47. The smaller number is 19 less than the larger number. What are the numbers?
The two numbers are 33 and 14, where 33 is the larger number and 14 is the smaller number that is 19 less than the larger number. Their sum equals 47.
Explanation:Finding Two Numbers Based on Sum and Difference
The problem given states that the sum of two numbers is 47, and that the smaller number is 19 less than the larger number. To solve this, let's denote the larger number as x and the smaller number as x - 19. The equation representing their sum is:
x + (x - 19) = 47
Combining like terms, we get:
2x - 19 = 47
Adding 19 to both sides gives:
2x = 66
Dividing both sides by 2, we get:
x = 33
So the larger number is 33. Now we can find the smaller number:
33 - 19 = 14
Therefore, the two numbers are 33 and 14.
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PLEASE HELP ME I WILL GRANT YOU BRAINLIEST I HAVE BEEN WORKING ON THIS FOR AN HOUR also for 7.7 the other one is also 7.7
A cube that has side lengths measuring 7 inches
A cube with side lengths measuring 7 inches means that each side of the cube is 7 inches long.
To find the volume of the cube, you multiply the length, width, and height of the cube since all sides are equal:
Volume = length × width × height
For a cube, all these measurements are the same, so you can simply cube the length of one side:
Volume = 7 inches × 7 inches × 7 inches
Volume = 7³ cubic inches
Volume = 343 cubic inches
So, the volume of the cube is 343 cubic inches.
A cube with side lengths measuring 7 inches implies that each side of the cube is 7 inches long.
To find the volume of the cube, we use the formula for the volume of a cube, which is side length cubed.
Since all sides of a cube are equal, we simply cube the length of one side: 7 inches × 7 inches × 7 inches. This equals 7³ = 343 cubic inches.
Therefore, the volume of the cube is 343 cubic inches. In a cube, all sides, angles, and faces are congruent, making it a regular polyhedron with 6 square faces.
Complete Question:
A cube that has side lengths measuring 7 inches.
the bottom of the inside of a rectangular prism is completely covered with the layers of the letter cubes are shown. The edges of a cube are 1 and 1/2 inches long. Please explain all and answer Part A and B.
In a scale drawing a plane has a length of 35 centimeters. The actual length of the plane is 87.5 feet. What is the scale of the drawing?
The scale of the drawing is [tex]\( \boxed{1 : 0.4} \).[/tex]
To find the scale of the drawing, we need to determine the ratio between the length in the drawing and the actual length.
Let x be the scale of the drawing.
According to the given information, the length of the plane in the drawing is 35 centimeters, and the actual length of the plane is 87.5 feet.
So, we can set up the proportion:
[tex]\[\frac{\text{Length in drawing}}{\text{Actual length}} = \frac{35}{87.5} = x\][/tex]
To find x , we solve for it:
[tex]\[x = \frac{35}{87.5} = 0.4\][/tex]
The scale of the drawing is [tex]\( \boxed{1 : 0.4} \).[/tex]
the point (-3,2)is on the line given by which equation below A. y = 3x B.y = x-5 C.y = x+5 D.y = - 3 x need asap
The shape below is transformed to another shape.
Which shape could be its image?
the images are 1 2 3 4
Answer:
Option 4 is the image of the given figure.
Step-by-step explanation:
We are given that,
The shape EFGHCD is transformed to form another shape.
From the options, we see that,
Figure 2 and 3 does not have the same vertices as that of the figure.
So, they are discarded.
Since, after transforming a figure, we get a new figure.
So, the vertices cannot have same name as that of the original figure.
So, option 1 is discarded.
Thus, we get,
Option 4 is the image of the given figure after transformation as shown below.
a woman wants to build a rectangular Garden she plans to use a side of the shed for one of the sides of the garden. she has 96 yards of fencing material. What is the maximum area that will be enclosed