Calculate the probabilities of selecting specific pairs of blouses from Maddie's closet with different colors.
Explanation:1. P(black and yellow):
Number of ways to select 1 black blouse out of 4 black blouses = 4Number of ways to select 1 yellow blouse out of 2 yellow blouses = 2Total number of ways to select 2 blouses out of 11 blouses = 11C2 = 55Therefore, P(black and yellow) = (4/55) * (2/11) = 8/605
2. P(green and green):
Number of ways to select 2 green blouses out of 2 green blouses = 1Total number of ways to select 2 blouses out of 11 blouses = 11C2 = 55Therefore, P(green and green) = (1/55) * (1/11) = 1/605
Does a trapezoid have obtuse angles
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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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?
Find the coordinate that divides the directed line segment from A(-2,-4) to B(8,1) in the ratio of 2 to 3
How would you find the area of this shape? ( rectangle and congruent triangle )
Witch is bigger 8 yards or 20 feet
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 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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what is the solution to the equation 1/3 x = 6
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?
Without graphing estimate the x-intercepts of the graph of f(x)=7x^2+9x+1 to the nearest tenth.
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
A repairman leans the top of an 8 ft ladder against the top of a stone wall the base of the ladder is 5.5 ft from the wall about how tall is the wall round to the nearest tenth of a foot
The height of the wall if A repairman leans the top of an 8 ft ladder against the top of a stone wall, the base of the ladder is 5.5 ft from the wall, is 5.81 feet.
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine, cosine, and tangents are their names and acronyms (tan).
Given:
A repairman leans the top of an 8 ft ladder against the top of a stone wall, the base of the ladder is 5.5 ft from the wall,
Calculate the height of the wall as shown below,
Assume the height of the wall is x then,
x² + base² = ladder height²
x² + 5.5² = 8²
x² = 64 - 30.25
x² = 33.75
x = √33.75
x = 5.81 ft
Thus, the height of the wall is 5.81 feet.
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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 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
choose an object that is the same length as a real baseball bat explain how to estimate its length in feet
Find the value of x and the value of y
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.
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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Write a story problem about 40 apples and 17 pears
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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If the probability of winning a carnival game was 2/5 and Max played it five times, write an expression that would calculate the probability he won the first three games and lost the last two
The probability of Max winning the first three games while losing the rest two is 0.023.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
As it is given that the probability of winning the game is 2/5. Since the sum of all the probability of an event is 1, therefore, the probability of losing the game can be written as,
Sum of all probability = Probability of winning + Probability of losing
[tex]1 = \dfrac25+\text{(Probability of losing)}\\\\\text{(Probability of losing)}=\dfrac35[/tex]
Thus, the probability of losing the game is 3/5.
As we need to calculate the probability of Max winning the first three games while he losing the rest two. Therefore,
[tex]P = \dfrac25 \times \dfrac25 \times \dfrac25 \times \dfrac35 \times \dfrac35 = \dfrac{72}{3125} = 0.023[/tex]
Hence, the probability of Max winning the first three games while losing the rest two is 0.023.
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Solve 6(z+6)=3(2z+12) Please. Giving brainliest for the brainliest answer.
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
Three tables are placed side by side by side. One table is 3 feet 11 inches wide, another is 6 feet 10 inches wide, and the third is 3 feet 7 inches wide. How wide are they combined?
To find the combined width of the three tables, add up their individual widths.
Explanation:To find the combined width of the three tables, we need to add up their individual widths.
The first table is 3 feet 11 inches wide, which is equivalent to 3 feet 11 inches + 0 feet 11 inches = 3 feet 22 inches.
The second table is 6 feet 10 inches wide, which is equivalent to 6 feet 10 inches + 0 feet 10 inches = 6 feet 20 inches.
The third table is 3 feet 7 inches wide, which is equivalent to 3 feet 7 inches + 0 feet 7 inches = 3 feet 14 inches.
Adding up the widths: 3 feet 22 inches + 6 feet 20 inches + 3 feet 14 inches = 12 feet 56 inches.
Therefore, the combined width of the three tables is 12 feet 56 inches.
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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
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Part A: Write an algebraic expression for 6 more than 7 times a number.
Part B: Write a verbal expression for 3(n + 8).
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
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 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.