Answer:
y=4x+4
Step-by-step explanation:
using y=mx+b, y is y since we are writing a function. 4 would be the slope, as that is added per minute, so that takes the place of m, and x stays the same, which leaves b, the y intercept, to be 4. this is because the barrel already had 4 gallons inside before.
Which best describes independent events?
A. The results of all events have different individual probabilities.
B. The results of any previous events affects the probability of future events.
C. The results of all events have the same individual probability.
D. The results of all previous events do not affect the probability of future events.
The option that best describes independent events is the results of all previous events do not affect the probability of future events.
What are independent events?Independents events are events whose occurrence do not depend on each other. They are random events.
For example, there is no relationship between the the colour of shoes you wear and the chances that it would rain. Thus, they are independent events.
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Answer:
D ✔️
Step-by-step explanation:
"The results of all previous events do not affect the probability of future events."
whats the probability of Rolling an even number on a dice, then flipping a coin to get a tails
Answer:the probabilities of getting a head and a tail are equal to 12 . The probability of getting an even number on a die is 36=12
Step-by-step explanation:because among 6 results there are 3 even numbers.
5. A wheel makes 726 revolutions per minute. How many
revolutions does it make per second?
Question 1 options:
The Jones family is driving from San Antonio, Texas, to Anchorage, Alaska, which is a distance of 4304 miles. They have already driven 1639.2 miles.
How much farther does the family need to drive to reach Anchorage?
Enter your answer as a decimal in the box
Answer:
2664.8 miles left to drive
Step-by-step explanation:
4304 miles driven
subtract 1639.2 miles driven
total left is 2664.8 miles yet to drive
whats 2 divide by 1/6.
Answer:
1/3
Step-by-step explanation:
2 divided by 1/6
2/1 divided by 1/6
2/6 ---> Simplify: 1/3
Answer:
12
Step-by-step explanation:
the answer is 12 because 2 dived by 1/6 is 12 i used a calculator to fund the answer btw
Hello, please help! I will be using this a lot within the next few days lol
Answer:
1/2
Step-by-step explanation:
1/3 + 1/6
LCM of 3 and 6 is 6.
therefore, multiple the fraction that doesn't have 6 as denominator with a fraction that makes the denominator equal to the LCM.
1/3 × 2/2 = 2/6
(we have used 2/2 because 3×2= 6)
so,
2/6+1/6 = 2+1/6
(2 + 1 whole divided by 6)
therefore we get,
3/6
on simplification,
3/6 = 1/2 = 0.5
hope it helps!!
PLEASE MARK BRAINLIEST..
Answer:
1/3 + 1/6 = 2/6 + 1/6 = 1/2 (simplified from 3/6)
Step-by-step explanation:
since 1/3 = 2/6 (to get the same denominator)
2/6 + 1/6 = 3/6 (or 1/2 simplified, when divided by 3/3)
so 2/6 + 1/6 = 3/6
2 is the first blank
1/2 is your answer. (second blank)
hope this helps:)
PLEASE HELP ME IN MY MATH PROBLEM
The values are
.|8|=8|-8|=8-|8|=-8-|-8|=-8First plot two dots on 8
Then rest two on -8
Answer:
See below ~
Step-by-step explanation:
Solving :
|8| = 8|-8| = 8-|8| = -8-|-8| = -8Ships arriving in U.S. ports are inspected by Customs officials for contaminated cargo. Assume, for a certain port, 20% of the ships arriving in the previous year contained cargo that was contaminated. A random selection of 50 ships in the current year included 5 that had contaminated cargo. Does the data suggest that the proportion of ships arriving in the port with contaminated cargoes has decreased in the current year
The value of the np is 10, and the value of the nq is 40 which is less than 5 also the hypothesis H0: p = 0.20 versus H1: p<0.20
What are the null hypothesis and alternative hypothesis?The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.
We have:
n = 50
p = 20% = 0.02
q = 1-p = 1- 0.02 = 0.08
[tex]\rm n_p = 50 \times 0.20 = 10\\\\\rm n_q = 50\times 0.80 = 40[/tex]
[tex]\rm n_q > 5\\\\\rm n_p > 5[/tex]
The conditions are verified for this test.
Null hypothesis H0: The number of ships arriving in ports with hazardous cargoes has remained constant.
Alternative hypothesis H1: The number of ships arriving in port with polluted goods has dropped.
H0: p = 0.20 versus H1: p<0.20
Thus, the value of the np is 10, and the value of the nq is 40 which is less than 5 also the hypothesis H0: p = 0.20 versus H1: p<0.20
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Two equations are given below:
x - 3y = 9
x = y - 3
Use the substitution method to find the solution of the system in the form (x, y)?
(-9,-6)
(-4,-3)
(-6,-3)
(-9,-7)
Answer:
The answer is option A
Step-by-step explanation:
The solution is in the image
Which step is the most efficient way to find the solution of p+5>−13?
Answer:
Subtract 5 from both sides
Step-by-step explanation:
Because you are rearanging for P as you want the solution for the inequality so you would chose this as it requires the least steps and is not trial and error like one of the other options
The patel family went to a festival. the family is made up of 2 adults and 3 children. admission to the festival is $22.00 for adults and $15.00 for children. how much did the family spend to enter the festival? the family spent $ .00 to enter the festival. please help d:
Answer:$89.00
Step-by-step explanation:22 times 2 is 44.
15 times 3 is 45.
44 plus 45 is 89
Answer:
$89.00
Step-by-step explanation:
2 adults = $22 x 2 = $44
3 children = $15 x 3 = $45
$44 + $45 = $89.00
Hope this helps!
If an object is rotated 360 degrees then what will the figure look like?
1. The exact same as the pre-image
2. An upside down version of the pre-image
3. A sideways version of the pre-image
Answer:
the exact same as the pre image
David has kept track of his family’s grocery bills for the past
10 weeks, as shown in the table.
Week 1 2 3 4 5 6 7. 8 9 10
Bill ($) 92 106 129 115 100 84 110 156
98 87
Would you choose to use a histogram, a circle graph, or a line graph to
display the data? Explain your choice.
Answer:
it is more easier to use a histogram and accurate
Answer:
Line graph
Step-by-step explanation:
A line graph is specifically used to display data that changes over time, a line plot uses several points connected by straight lines on an x and y axis.
I wouldn't choose a histogram because a histogram is used to summarize continuous data.
As well as I wouldn't use a circle graph becasue it is often used to show the percentage of of population who gave a certain answer.
There are 125 people in a sport centre.
59 people use the gym.
70 people use the swimming pool.
55 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
17 people use the gym and the track.
6 people use all three facilities.
A person is selected at random.
What is the probability that the person uses exactly one of the facilities?
Answer: 97/125
Step-by-step explanation:
)The number of elements in power set {1, 2, 3} is
(a) 4
(b) 6
(c) 8
(d) 9
Answer:
(c) 8Step-by-step explanation:
The number of elements in a power set = the number of subsets of a set
Formula:
Let S be a sent ,the number of elements of the power set of S =
[tex]2^{\text{card(S)} }[/tex]
Where card(S) = number of element of S itself.
=======================================
In this case :
Card(S) = 3
Then
the number of elements of the power set of S =
[tex]2^{3}=8[/tex]
Find the length of the straight lines joining the following pairs of points (-1,3)and(5,2)
Answer:
es lo que es
Step-by-step explanation:
step by step =step momPLEASE HELP ASWER NEEDED BEFORE 2 HOURS!10. When adding or subtracting mixed numbers, you can use the To help separate the whole numbers from the fractions. Solve the following problems 11. + // 12.1 / +2/3/ 13. 10+ 39/160 14.6 / +9 15.3 1/1 + 4/1/20
Answer:
I was unable to do no. 10 hope others solution can help you
Please help its a math problem please see image attached
Answer:
(-∞, ∞)
Step-by-step explanation:
Solving :
Lowest x-value is -22 options have the lowest value as 0Hence, the correct option is : (-∞, ∞)
What is the mode for the data set?
27, 21, 24, 21, 26, 28, 25, 21, 27, 29, 24
Answer: 21
Step-by-step explanation:
Mode is the value that appears most often in a set of data values.
Write the numbers in your data set from least to greatest.21, 21, 21, 24, 24, 25, 26, 27, 27, 28, 29
Count the number of times each number is repeated and identify the value(s) that occur most often. In this case, 21 repeated 3 times.Answer:
The mode for the data set is 21
Step-by-step explanation:
The more type of numbers that you see in a data set is the mode... like for example- the data set 1, 1, 1, 5, 6, 7, 5
1 is the mode because there are more 1's than any number in the data set.
Your welcome! ;D
Find the value of 8!.
Hey there!
8!
= 8(7)(6)(5)(4)(3)(2)(1)
= 56(6)(5)(4)(3)(2)(1)
= 336(5)(4)(3)(2)(1)
= 1,680(4)(3)(2)(1)
= 6,720(3)(2)(1)
= 20,160(2)(1)
= 40,320(1)
= 40,320
Therefore, the answer should be:
40,320
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Trapezoid defg is dilated according to the rule do,4(x,y) to form the image trapezoid d'e'f'g', which is shown on the graph. on a coordinate plane, trapezoid d prime e prime f prime g prime has points (negative 8, 8), (negative 3, 8), (negative 5, 4), and (negative 8, 4). what are the coordinates of point g of the pre-image? (-2, 1) (-4, 2) (-12, 0) (-32, 16)
Since the figure is dilated by a factor of 4, the coordinates of point g of the pre-image is (-2, 1)
How to determine the coordinates of point g?The coordinates of the image are given as:
d' = (-8,8)e' = (-3,8)f' = (-5,4)g' = (-8,4)The dilation rule is given as:
(x,y) -> 4(x,y)
So, we have:
(-8,4) = 4 * g
Divide both sides by 4
g = (-2,1)
Hence, the coordinates of point g of the pre-image is (-2, 1)
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Answer:
A
Step-by-step explanation:
edge
If you get a $50.00 raise in pay per month and your taxes also increase about $50.00 per month, how would you probably feel?
appreciated because you are getting rewarded for your hard work
satisfied because you broke even
proud because the government needs your money more than you do
resentful because it seems unfair
Answer:
i would say satisfied because you broke even. Because then you still work the same as you did, because before that you were breaking even every month. So you are not getting paid any extra
Step-by-step explanation:
A circular cake is 360˚. If you eat a piece that is 40˚ of the cake, how many degrees
are left in the cake?
Answer:
320˚ left
Given that:
Total angle: 360˚
Angle Eaten: 40˚
Left:
Total angle - Angle Eaten
360˚ - 40˚
320˚
Which expression is equivalent to 52.2
O
(2.50) + 2
(2 • 26) + 2
O
(z.50) + (z. 2)
O (z • 2) + 26
Answer:
Anwer is (z.50)+(z.2) since expanding it is z.52
Help with these geometry problems, please! 10th grade geometry
Step-by-step explanation:
3.
the left cup is the summary of 2 cylinders.
the right cup is just a cone.
the volume of a cone is
pi×r²×h/3 = pi×3.5²×6/3 = pi×12.25×2 = pi×24.5 =
= 76.93 in³
the volume of a cylinder is
pi×r²×h
the first cylinder is
pi×3²×1.5 = pi×9×1.5 = pi×13.5 = 3.14×13.5 = 42.39 in³
the second cylinder is
pi×2²×2.25 = pi×4×2.25 = pi×9 = 28.26 in³
in total the cup has
42.39 + 28.26 = 70.65 in³
so, the cone has the larger volume by 6.28 in³ ≈ 6 in³.
that would be 3.479827 fl.oz. ≈ 3 fl.oz. of water.
I have no idea on what scale you need to quantify the amount of water. I just guessed.
2.
here we need the surface area.
the object consists of a large prism (or block) and a cylinder.
we don't need the bottom area for neither, as the cylinder is simply on top of the prism, and its bottom is not going to be painted either.
we need 5 sides of the prism :
front and back
left and right
top (and we need the full top, because the area the cylinder is covering up is the same area for the top of the cylinder).
and the we need to add only the side wall of the cylinder the "mantle".
so,
front and back rectangles are 10×3 × 2 = 60 in²
left and right rectangles are 10×3 × 2 = 60 in²
the top rectangle (square) is 10×10 = 100 in²
the cylinder mantle is
circumference of the circle × height
2×pi×r×h = 2×pi×4×6 = 3.14×48 = 150.72 in²
so, in total we have
60 + 60 + 100 + 150.72 = 370.72 in² ≈ 371 in²
Answer:
Question 2: 320.48 in^2
Question 3: 6.28 in^3
Step-by-step explanation:
Question 2)
The question tells us that the shape will be covered in paint. This means that we need to find the surface area instead of volume. In the question, I’ll find the surface area of the two individual shapes (The cylinder and the rectangular prism) and take away parts that will not be covered in paint.
Rectangular Prism
1. ((10x10)+(10x3)+(10x3))x2 — All rectangular prisms have 2 sides with the same area. Since there are 6 sides total, all we need to do is find 3 sides of different sizes and multiply them by 2. The number we get is 320 in^2.
2. We will not be painting the bottom, so we can take the area of the bottom away. The area of the bottom is 10x10, which is 100. 320 - 100 is 220 in^2.
3. We are also not painting the area where the cylinder is touching the top (The circle-shaped area). The formula of finding the area of a circle is radius x radius x pi. Since the radius is 4 and pi can be rounded to 3.14, the area of the circle will be 4x4x3.14, which is 50.24 in^2. We can take that away from 220, so 220 - 20.24 is 169.76 in^2.
Cylinder
1. 4x4x3.14 — We know that one side of the cylinder (The base) will not be painted, so all we need to do is find the area of one of the bases. Radius x Radius x pi, in this case, is 50.24 in^2.
2. (((4+4)x3.14)x6) — Now we need to find the area of the side of the cylinder. The area of the side is base x height. The base length is the perimeter of the circle. The equation of the circle perimeter is (radius + radius) x pi. In numbers, it will be 8x3.14 which is 25.12. The height of the side is 6, so the equation will be 25.12 x 6, which is 150.72.
3. The surface area of the cylinder (excluding the base at the bottom) is 150.72 in^2.
Since the rectangular prism and the cylinder is stuck together and is considered as a whole, we add the two numbers together. 169.76 + 150.72 = 320.48 in^2!
Question 3)
The amount of water the cups can hold is the same size as the volume of individual cups. In order to find out the amount of water each cup can hold, we need to find the volume first.
Cup #1
1. (2x2x3.14)(2.25) — This is the base times the height of the bottom cylinder. The formula to find a circle is radius x radius x pi, and the height was 2.25. The volume of this shape will be 28.26 in^3.
2. (3x3x3.14)(1.5) — The area of the bottom is radius x radius x pi, and the height was 1.5 If we multiply all of these numbers together, we get 42.39 in^3.
3. Now that we found the two cylinders of the first cup, we can add them together. 28.26 + 42.39 = 70.65.
4. The area of cup #1 is 70.65 in^3.
Cup #2
1. (3.5 x 3.5 x 3.14)(6)(1/3) — The formula for finding the area of a cone is base x height x 1/3. The area of the base is radius x radius x pi, and the height is 6. Then we multiply by 1/3 (or divide by 3). Then, we get 76.93 in^3.
2. The volume of cup #2 is 76.93 in^3.
The question asks: How much more water will the larger cup hold?
Comparing 70.65 in^3 (First cup) and 76.93 in^3 (Second cup), we know that the second cup is bigger. To find the difference in the amount of water it can hold, we can subtract 70.65 from 76.93. This equals 6.28 in^3.
The final answer for Question 3 will be 6.28 in^3!
----------What is the measure,in degrees,of angle VSR?
Answer:
Angle VSR = 135 degrees.
Step-by-step explanation:
since it is a straight line at the top, those angles are going to add up to 180 degrees. The corners of a square is 90 degrees. And we know the other side is 45. 90 + 45 = 135 so 180 - 135 = 45 and that is the measure of the other angle. An easier way to do it would be that theres another square and the corners are still 90 degrees so you just do 90 - 45 and get 45 now you add the 45 to 90 and get 135 which is the answer.
15-(7+3x)=16-(4x-1)
please give me a step by step answer, I don't understand the rules to removing parenthasees and I keep getting different answers :( pls help
Answer:
Step-by-step explanation:
On World Environment day, Class-9 students bought five plants of mango, silver oak, orange, banyan, and
Amla from the soil department. They plotted where to plant these trees and noted the locations as (x, y).
Then the group leader was then assigned to join these points in the given order.
(iv) Which of the following trees are planted exactly in the x - axis?
(a) Amla and Mango
(b) Orange and Amla
(c) Orange and mango
(d) Silver Oak and Banyan
Based on the points given about the locations these trees are planted, the trees that will be planted exactly on the x-axis are (a) Amla and Mango.
Which trees will be on the x-axis?When plotting a line on a graph, the points that will be found on the x-axis are those that will have a y coordinate of 0.
From the table given, both Mango and Amla have y coordinates of 0 which means that they will be planted exactly on the x-axis.
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it’s timed please help :)
help me PLEASE FIND THE VOLUME
Answer:
1. 519.75 cm^3
2. 19.22 cm^3
3. 613.6 cm^3
4. 1365.68 cm^3
Step-by-step explanation:
Hello again, similar to the other questions, these problems use the same formulas.
1. volume of a rectangular prism is: V = lwh, where l = length, w = width, h = height. Substitute known values into this equation: V = 4.5 x 7 x 16.5 and we get V = 519.75 cubic cm.
2. V = (1/2)bhl, where the base and height are dimensions of the triangle. V = (1/2)6.2 x 2 x 3.1 and we get V = 19.22 cubic cm
3. V = Bh, where B is the base area and h is the perpendicular height. Substitute known values into equation: V = 52(11.8). So, V = 613.6 cubic cm.
4. And again, V = Bh. Substitute given values into this equation: V = 79.4(17.2), which means V = 1365.68 cm^3
