A cabinet maker buys 3.5 liters of oak varnish. The varnish cost $4.95 per liter. What is the total cost of 3.5 L of varnish ?
I need help with this question please
The table below shows the number of marbles of different colors in a bag:
Marble Experiment
Color of
Marbles Number of
Marbles
Red
5
White
8
Black
2
Deja draws a marble from the bag randomly without looking. She then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing red marbles in both the trials? (5 points)
5 over 15 multiplied by 4 over 14
5 over 15 multiplied by 4 over 15
5 over 15 added to 4 over 14
5 over 15 added to 4 over 15
The correct answer is: 5 over 15 multiplied by 4 over 14
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given this, Deja draws a marble from the bag randomly without looking.
The total number of marbles in the bag is:
5 + 8 + 2 = 15
Deja draws a marble from the bag randomly without looking. Therefore, the probability of drawing a red marble in the first trial is:
P(red on first draw) = 5/15
Deja draws another marble from the bag without replacing the first one. Therefore,
The probability of drawing a red marble in the second trial, given that she drew a red marble in the first trial, is:
P(red on second draw | red on first draw) = 4/14
We multiply these probabilities because the events are independent (i.e., the outcome of the first draw does not affect the outcome of the second draw).
Therefore, the expression that shows the probability of drawing red marbles in both trials is:
= P(red on the first draw) × P(red on second draw | red on the first draw)
= (5/15) × (4/14) = 4/63
So the correct answer is: 5 over 15 multiplied by 4 over 14.
Learn more about probability here:
https://brainly.com/question/30034780
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A rope stretches directly depending on the load it must carry. If a load of 8 pounds stretches the rope 9.6 inches, the constant of proportionality is equal to:
8(9.6)
8/9.6
9.6/8
"Our proportionality constant would be how much the rope stretches versus the weight being hung. This is set up by simply dividing the two numbers.
9.6 inches / 8 pounds
or for every pound hung, it will stretch 1.2 inches so we know if it stretches 6 inches, we can set up an equation 6 inches = 1.2 [inches/pound] * pounds solve for weight to get 5 pounds being hung from the rope."
Answer: 9.6 inches / 8 pounds
Step-by-step explanation: I got it right
Describe how to model -3x + 7=28 with algebra tiles
Rolf spent 15 hours last week practicing his saxophone if 3/10 of the time was spent practicing warm up routines, how much time did he spend practicing warm up routines ?
A baker uses 5.5 lb of flour daily how many ounces of flour will he use in two weeks
1 pound = 16 ounces
16 * 5.5 = 88 ounces per day
88*7 = 616 ounces per week
616 * 2 = 1232 ounces in 2 weeks
What number makes the the number sentence true 420,008 - 9,569 =n
Answer: its 410439
(all u need to do is subtract!)
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1) A dealer sold 112 cars during the month of May and 96 during the month of June. What was the percentage of the decrease?
2) At an evening performance, 85% of the seats in a movie house was occupied. If 34 people attended this performance, what was the seating capacity of the movie house?
3) A merchant sold articles of clothing at 140% of what he paid for them. What did he pay for an article that he sold for $84?
4) A family spent 486 a week for food. This was 20% of its weekly income. What was its weekly income?
5) An agent sold 250 boxes of apples at $6.50 each. He charged a commission of 5%. What was his commission?
6) At the rate of $0.80 per $100, how much does it cost to insure a car against fire and theft for $1,650?
The perimeter of the following rectangle is 40 inches. What is the length of w?
Bottom: 14 in.
Side: Unknown
2.9 in.
6 in.
12 in.
26 in.
6 inches is the answer
P= 2( L+W)
Answer: 6 inches
Step-by-step explanation:
Given: The perimeter of the rectangle = 40 inches
Let the unknown side be w.
And the bottom side l=14 in.
We know that the perimeter of rectangle is given by :-
[tex]\text{Perimeter}=2(l+w)\\\Rightarrow40=2(14+w)\\\Rightarrow\frac{40}{2}=14+w\\\\Rightarrow20=14+w\\\Rightarrow\ w=20-14)\\\Rightarrow w=6\ in.[/tex]
Hence, the the length of w = 6 inches.
sum of 6 divided by a number and that number divided by 6
kathi starts with a number. she adds 3 to her number, then doubles the result. finally, she subtracts 7. if she ended with 9 what number did ahe start with
Find an explicit formula for the arithmetic sequence -11,-3,5,13,...
A cable is 7.1m long. How long is the cable in decimeters?
What are the next letters? BE GJ LO QT
I REALY NEED HELP!
A number line contains points Q, R, S, and T. Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42. Find the probability that a point chosen at random on QT is on ST. Express your answer as a percent.
25%
42.2%
50%
72.2%
Answer:
The correct option is 4.
Step-by-step explanation:
It is given that Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42.
Total numbers lie on line QT is
[tex]42-24=18[/tex]
The numbers lie on line ST is
[tex]42-29=13[/tex]
The probability that a point chosen at random on QT is on ST is
[tex]P=\frac{\text{The numbers lie on line ST}}{\text{Total numbers lie on line QT}}\times 100[/tex]
[tex]P=\frac{13}{18}}\times 100[/tex]
[tex]P=72.222\approx 72.2\%[/tex]
The probability that a point chosen at random on QT is on ST is 72.2%. Therefore option 4 is correct.
Answer this question, me and my partner have no idea what to do I'm very confused
What is the probability of receiving a 6 or a 9 from a deck of 52 cards and an ace or a king?
Final answer:
The probability of selecting a heart or a face card from a standard deck of cards is approximately 42.31%, which is significantly higher than the probability of selecting just a heart suit face card, which is about 5.77%.
Explanation:
To calculate the probability of selecting a heart or a face card, we first need to count the number of favorable outcomes. There are 13 hearts in a deck of cards and 12 face cards (Jacks, Queens, and Kings, with 3 in each suit). However, there are overlap cards that are both hearts and face cards (Jack, Queen, King of Hearts), which amount to 3 cards. We must subtract these to avoid double counting. So, the formula to find the total number of favorable outcomes is:
Favorable outcomes = Total hearts + Total face cards - Overlap of hearts and face cards
Favorable outcomes = 13 (hearts) + 12 (face cards) - 3 (heart face cards) = 22
Next, we calculate the probability:
P(A) = Favorable outcomes / Total number of cards
P(A) = 22 / 52 ≈ 0.4231 or 42.31%
This is the probability of selecting a heart or a face card from a standard deck. Comparing this to the probability of selecting a heart suit face card (which is 3/52 or about 5.77%), it is clear that selecting a heart or a face card is much more likely.
Therefore, the probability of selecting either a heart or a face card is less than the probability of drawing only heart-suit face cards, since the number of favorable outcomes for the latter is smaller.
(I really need help!!!)
x + 14 + (-x)
Halle has 36 feathers, 48 acorns, and 60 agates. She wants to put all of these items into bowls with the same number of feathers, acorns, and agates in each bowl and none left out. What is the maximum number of bowls she can put the items into?
48-36 =12
60-48=12
36/12 =3
48/12=4
60/12=5
the maximum number of bowls is 12
Answer:
12
Step-by-step explanation:
help What is the length of the unknown leg in the right triangle?
Robert buys 3 pounds of bananas at $0.50 per pound and 3 pounds of apples at $1.00 per pound. Which of the following expressions represents the total cost of the fruit he bought (in dollars
Answer:
The answer is $3(0.50+1.00)
Step-by-step explanation:
Robert bought 3 pounds of bananas at $0.50 per pound which can be expressed as:
[tex]3*0.50[/tex]
And 3 pounds of apples at $1.00 per pound which can be expressed as:
[tex]3*1.00[/tex]
As Robert bought the apples and bananas, you can add both expressions:
[tex]3*0.50 + 3*1.00[/tex]
This expression can be factorized as:
[tex]3(0.50+1.00)[/tex]
or
[tex]3(1.50)[/tex]
Both expressions will give you the same result, which is $4.50.
Using Pythagorean inequalities, determine which set of the given three sides produces an obtuse triangle. A. 4, 5, 6 B. 5, 13, 19 C. 12, 14, 25 D. 21, 72, 75
Answer:
Obtuse triangle sets
B. 5, 13, 19
C. 12, 14, 25
Step-by-step explanation:
The Pythagorean inequality for the sides of the triangle to be an obtuse:
[tex]a^2 + b^2 < c^2[/tex], where a, b and c are the sides of the triangle.
The other Pythagorean inequalities are:
[tex]a^2 + b^2 > c^2[/tex], for Acute triangle
[tex]a^2 + b^2 = c^2[/tex], for Right triangle
Now let's check which set of the given sets satisfy the above inequality.
Option A
4, 5, 6
Here a = 4, b = 5 and c = 6
[tex]4^2 + 5^2 < 6^2\\16 + 25 < 36\\41 < 36\\[/tex]
Which is not true.
Here [tex]a^2 + b^2 > c^2[/tex], So this is Acute triangle
Option B
5, 13, 19
Here a = 5, b = 13 and c = 19
[tex]5^2 + 13^2 < 19^2\\25 + 169 < 361\\194 < 361\\[/tex]
Which is true. This is Obtuse triangle
Option C
Here a = 12, b = 14 and c = 25
[tex]12^2 + 14^2 < 25^2\\144 + 196 < 625\\340 < 625\\[/tex]
Which is true. This is obtuse triangle.
Option D
Here a = 21, b = 72 and c = 75
[tex]21^2 + 72^2 < 75^2\\441 + 5184 < 5625\\5625 < 5625\\[/tex]
Which is not true for obtuse.
Here [tex]a^2 + b^2 = c^2[/tex], for Right triangle
So this is Right triangle.
Answer:
c
Step-by-step explanation:
just did it
Which sets of values can be the measures of the exterior angles of a triangle? Click all that apply.
120°, 110°, 130°
35°, 103°, 122°
123°, 87°, 220°
120°, 120°, 120°
123°, 157°, 90°
The angles are within the range of angles are 120°, 110°, 130° and 120°, 120°, 120°
The exterior angle of a triangle is the sum of its exterior angles. The exterior angle of a triangle is obtuse in nature and obtuse angles are angles that are greater than 90 but less than 180 degrees.]Hence the set of angles required must fall within the range [tex]90^0<\theta<180^0[/tex]From the given options, the angles are within the range of angles are 120°, 110°, 130° and 120°, 120°, 120°
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Which expression is equivalent to 2−35?
Which linear inequality is represented by the graph?
y < 2/3x + 3
y >3/2 x + 3
y >2/3 x + 3
y < 3/2x + 3
The linear equality represented by the graphis [tex]\boxed{{\mathbf{y > }}\frac{{\mathbf{2}}}{{\mathbf{3}}}{\mathbf{x + 3}}}[/tex] and it matches with [tex]\boxed{{\mathbf{OPTION C}}}[/tex].
Further explanation:
From given graph, theline passes through points [tex]\left({3,5}\right)[/tex] and [tex]\left({ - 3,1}\right)[/tex] as shown below in Figure 1.
The slope of a line passes through points [tex]\left({{x_1},{y_1}}\right)[/tex] and [tex]\left({{x_2},{y_2}}\right)[/tex] is calculated as follows:
[tex]m = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}{\text{}}[/tex] ......(1)
Here, the slope of a line is denoted as and points are [tex]\left({{x_1},{y_1}}\right)[/tex] and [tex]\left({{x_2},{y_2}}\right)[/tex].
Substitute [tex]3[/tex] for [tex]{x_1}[/tex] , [tex]5[/tex] for [tex]{y_1}[/tex] , [tex]-3[/tex] for [tex]{x_2}[/tex] and [tex]1[/tex] for [tex]{y_2}[/tex] in equation (1) to obtain the slope of a line that passes through points [tex]\left( {3,5}\right)[/tex] and [tex]\left({ - 3,1}\right)[/tex].
[tex]\begin{aligned}m&=\frac{{1 - 5}}{{ - 3 - 3}}\\&=\frac{{ - 4}}{{ - 6}}\\&=\frac{2}{3}\\\end{aligned}[/tex]
Therefore, the slope is [tex]\frac{2}{3}[/tex].
The point-slope form of the equation of a line with slope passes through point is represented as follows:
[tex]y - {y_1} = m\left({x - {x_1}}\right){\text{}}[/tex] ......(2)
Substitute [tex]3[/tex] for [tex]{x_1}[/tex] , [tex]5[/tex] for [tex]{y_1}[/tex] and [tex]\frac{2}{3}[/tex] for [tex]m[/tex] in equation (2) to obtain the equation of line.
[tex]\begin{aligned}y - 5 = \frac{2}{3}\left({x - 3} \right)\\3\left( {y - 5} \right) = 2x - 6\\3y - 15 = 2x - 6\\3y = 2x - 6 + 15\\\end{aligned}[/tex]
Further simplify the above equation.
[tex]\begin{aligned}3y=2x + 9\\y=\frac{2}{3}x+\frac{9}{3}\\y=\frac{2}{3}x + 3\\\end{aligned}[/tex]
Therefore, the value of [tex]y[/tex] is [tex]\dfrac{2}{3}x + 3[/tex].
Since the shaded part in Figure 1 is above the equation of line [tex]y = \dfrac{2}{3}x + 3[/tex], therefore, greater than sign is used instead of is equal to
Therefore, the inequality is [tex]y > \dfrac{2}{3}x + 3[/tex].
Now, the four options are given below.
[tex]\begin{aligned}{\text{OPTION A}}\to y < \frac{2}{3}x + 3 \hfill \\{\text{OPTION B}} \to y > \frac{3}{2}x + 3 \hfill \\{\text{OPTION C}} \to y > \frac{2}{3}x + 3 \hfill \\{\text{OPTION D}}\to y < \frac{3}{2}x + 3 \hfill\\\end{aligned}[/tex]
Since OPTION C matches the obtained equation that is [tex]y > \dfrac{2}{3}x + 3[/tex].
Thus, the linear equality represented by the graph is [tex]\boxed{{\mathbf{y > }}\frac{{\mathbf{2}}}{{\mathbf{3}}}{\mathbf{x + 3}}}[/tex]and it matches with [tex]\boxed{{\mathbf{OPTION C}}}[/tex]
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Answer Details:
Grade: Junior High School
Subject: Mathematics
Chapter: Coordinate Geometry
Keywords: Coordinate Geometry, linear equation, system of linear equations in two variables, variables, mathematics,equation of line, line, passes through point, inequality
Stumped on how to solve this one! The numbers just aren't making sense to me
30 = 3/5
so 1/5 = 10 miles
there are 20/5 in 4 inches
10*20 = 200
they are 200 miles apart
A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
find the mean absolute deviation
Answer:
(MAD) Mean Absolute Deviation: 3.28
Step-by-step explanation:
Mean: 4 + 5 + 8 + 10 + 15 = 42/5 = 8.4
8.4 - 4 = 4.4
8.4 - 5 = 3.4
8.4 - 8 = 0.4
8.4 - 10 = 1.6
8.4 - 15 = 6.6
Mean Absolute Deviation: 4.4 + 3.4 + 0.4 + 1.6 + 6.6 = 16.4/5 = 3.28
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Solve the following quadratic equation. 3(x + 5)2 = 60