Answer:
524,288
Step-by-step explanation:
2^8 * 2^9* 4
2 to the 8th power is 256
2 to the power of 9 is 512
256 x 512 x 4= 524,288
Suppose you write the numbers 1 to 10 on separate index cards. You randomly choose one card, place it back in the set, and then randomly choose another card. What is the probability that the first card you choose is the number 1 or the second card you choose is the number 2?.
Answer:
1/100
Step-by-step explanation:
From 1 to 10 there are 10 numbers, so the fraction would be:
# / 10
Since you are putting the cards back into the deck, the denominator will never change.
The chances of getting " 1 " are 1 / 10.
And the chances of getting " 2 " are also 1 / 10
To find the odds of getting one-after-the-other, you multiply these 2 chances.
( 1 / 10 ) x ( 1 / 10 ) = ( 1 / 100 )
There is a 1 / 100 chance that you will draw 1, then 2 if you put the cards back after drawing.
A bag contains 9 red marbles, 3 blue marbles, 3 green marbles, and 3 yellow marbles. determine whether each statement correctly describes a likelihood of a event select true of false for each statement.
For the given number of marbles , the statement which represents the likelihood of the true event are as follow:
a. True.
b. False
c. False
d. False
As given in the question,
Total number of marbles in a bag = 16
Number of blue marbles = 5
Number of yellow marbles = 9
Number of red marbles = 2
Number of marbles selected at random for the given event = 1
1. To select a green marble is impossible is true statement as there are no green marbles in the bag.
2. There is a possibility of selecting yellow marbles as there are 9 yellow marbles in the bag.
Probability of yellow marble = 9/16.
It is false.
3. There is a possibility of selecting blue marbles but it is not compulsory that the marble is blue only.
Probability of blue marble = 5/16.
It is false.
4. There is a possibility of selecting red marbles as there are 2 red marbles in the bag.
Probability of red marble = 2/16.
It is false.
Therefore, for the given marbles statement representing likelihood of the true event is as follow:
a. true
b. false
c. false
d. false
The given question is incomplete, I answer the question in general according to my knowledge:
A bag contains 16 marbles. There are 5 blue, 9 yellow, and 2 red
marbles. One marble is selected at random.
Determine whether each statement correctly describes the likelihood
of an event based on the given bag of marbles. Select True or False
for each statement.
True False
It is impossible that a green marble will be selected.
It is unlikely that a yellow marble will be selected.
It is certain that a blue marble will be selected.
It is unlikely that a red marble will be selected.
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A right triangle has the side length of 7, 24, and 25 units. A scaled copy of the triangle is drawn. Which of the following could be side lengths, in units, or the scaled copy? Select sll that apply.
Answer:
I literally don’t know
Step-by-step explanation:
ABC de fg
Please help I’ll mark brainly fast
Answer:
y = 4x + 10 y = 1 + 4^x
x y x y
0 10 0 2
1 14 1 5
2 18 2 17
3 22 3 65
4 26 4 257
Rate of change on [1, 3]:
For y = 4x + 10:
(22 - 14)/(3 - 1) = 8/2 = 4
For y = 1 + 4^x:
(65 - 5)/(3 - 1) = 60/2 = 30
The rate of change on [1, 3] is much greater on y = 1 + 4^x than on y = 4x + 10 because y = 1 + 4^x generally gives larger numbers than y = 4x + 10 as x gets larger.
) Which list orders the fractions from least to greatest? A.) ½, ¾, ¼, ⅜ B.) ¾, ½, ⅜, ¼ C.) ¼, ⅜, ½, ¾ D.) ⅜, ½, ¾,
Answer:
I believe the answer is C
y=1/3x+11/15 find x if y=6
Step-by-step explanation:
plug in y
6=1/3x+11/15
multiply both sides by 15 to get rid of the fraction
90 = 5x +11
move terms to make them like terms
-5x =11- 90
-5x = -79
divide both sides by -5
evaluate for x
calculating standard error is not important in statistics, we only need to look at the regular standard deviation of a single data set. group of answer choices true false
False. Calculating standard error is indeed important in statistics, as it serves a different purpose than the regular standard deviation of a single data set.
While standard deviation measures the variability or dispersion within a data set, standard error is used to measure the accuracy of a sample mean as an estimate of the true population mean.
1. Standard deviation measures the dispersion or spread of data points in a single data set. It helps you understand how much the individual data points deviate from the mean (average) of that data set.
2. Standard error, on the other hand, is a measure of how accurate a sample mean is in estimating the true population mean.
It is calculated by dividing the standard deviation of the sample by the square root of the sample size (n).
Standard Error (SE) = Standard Deviation (SD) / √n
3. As the sample size increases, the standard error decreases, indicating that the sample mean becomes a more accurate estimate of the population mean.
This is because larger sample sizes tend to have a smaller sampling error.
4. In hypothesis testing and confidence interval estimation, standard error plays a crucial role.
It helps to determine the margin of error and to assess the significance of differences between sample means.
5. While standard deviation is a useful measure for understanding variability within a single data set, standard error is essential for making inferences about the population based on the sample data.
In conclusion, both standard deviation and standard error are important in statistics as they serve different purposes. Ignoring standard error would lead to inaccurate conclusions about the population mean based on sample data.
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Use the distributive property to simplify 5( x + 3).
(A). 8 x
(B). 5 x + 3
(C). 5 x + 8
(D). 5 x + 15
Answer:
D) 5x+15
Step-by-step explanation:
5×x+5×3
5x+15
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1. Employees of a landscaping company built a retaining wall with area 23(3/8) sq ft. They used brick to make the top portion of the wall, which is 8(1/2) feet. What is the total height of the wall? Write an equation to represent the situation. Then solve. Part 2: If the area of the brick portion of the wall is 15(7/12), what fraction of the wall is brick? Write an equation to show your work.
Answer:
a. h = A/w = 2 ³/₄ ft
b. A'/A = 2/3
Step-by-step explanation:
a. What is the total height of the wall? Write an equation to represent the situation. Then solve.
The wall is a rectangle and its area is A = wh where w = width and h = height of wall.
Making h subject of the formula,
h = A/w
Now, Since the area of the retaining wall, A is 23 ³/₈ ft² and its width is the length of the portion of the wall which is brick w is 8 ¹/₂ ft, then
h = A/w
= 23 ³/₈ ft² ÷ 8 ¹/₂ ft
= 187/8 ft² ÷ 17/2 ft
= 187/8 ft² × 2/17 ft
= 187/4 ft² × 1/17 ft
= 187/68 ft
= 2 ³/₄ ft
b. If the area of the brick portion of the wall is 15(7/12), what fraction of the wall is brick? Write an equation to show your work.
Since the area of the brick portion of the wall is A' = 15 ⁷/₁₂ ft² and the total are of the retaining wall is A = 23 ³/₈ ft²
The fraction of the wall that is brick = A'/A
= 15 ⁷/₁₂ ft² ÷ 23 ³/₈ ft²
= 187/12 ÷ 187/8
= 187/12 × 8/187
= 8/12
= 2/3
Answer with Step-by-step explanation:
a) 2 3/4 ÷ 3 = 11/12 feet
11/12 + 11/12 = 1 5/6
Or, you could write an algebraic equation:
2 3/4 ÷ 3 = x. (3x = 2 3/4)
x = 11/12
The height of the brick proportion of the wall is 1 5/6
b)
You know that 8 x 2 is 16. Well, you already know that the whole total of fractions, multiplied together, would probably be less that 1 and less than 1/2.
So, your rounded answer should be 16. Or 16 1/2
c)
Area = 8 1/2 x 2 3/4.
Use Distributive Property to solve the area.
(8 x 2) + (3/4 x 1/2) = x
8 x 2 = 16
3/4 x 1/2 = 3/8
16 + 3/8 = 16 3/8
x = 16 3/8
I think my answer is reasonable because I estimated 16, and 1/2. 3/8 is close to 1/2. That's why my answer is reasonable.
-kiniwih426
Which of the following equations results in infinitely many solutions?
7y + 15 - 2y = 7(y + 3)
7y +3-2y = 5(y + 3)
7y + 15 = 5(y + 3)
7y + 15 - 2y = 5(y + 3)
Answer:
7y + 15 - 2y = 5(y + 3)
Step-by-step explanation:
So two equations have infinitely many solutions, when they are exactly the same equation, in their most simplified form, for example: 2x = 3x-x which simplifies to 2x=2x. So in the options, three of the options have the same equation on the right side, so I'll distribute the 5. \(5(y+3) = 5y+15\). Now let's look at the options:
7y + 3-2y
5y+3 (this is not the same as 5y + 15)
7y + 15 (this is not the same as 5y + 15)
7y + 15 - 2y
5y + 15 = 5y + 15 (this is the same)
The figure shows the dimensions of a tennis court. Which expression will not give the perimeter of the tennis court?
Answer:
the answer is number 1
Step-by-step explanation:
△EFG has coordinates E(–2, –4), F(–8, 0), and G(–5, 3).
What are the coordinates of the vertices of the image after a reflection in the y-axis?
Answer:
E(2,-4), F(8,0), and G(5,3).
Step-by-step explanation:
Reflection in the y-axis means the signs of the x-coordinates should be flipped.
Answer:
Answer A
Step-by-step explanation:
I know that you already have the answer, but I wanted to show you a picture.
suppose a researcher discovered a .99 correlation between one’s arm length and the number of books the person owns. in general, people who own the fewest number of books would have
We can infer that people with shorter arm lengths are more likely to own the fewest number of books.
If there is a correlation of 0.99 between one's arm length and the number of books they own, it implies a strong positive relationship between these two variables. In this context, it means that as arm length increases, the number of books owned also tends to increase.
Given this correlation, we can make an inference about people who own the fewest number of books. Since there is a strong positive correlation, individuals with shorter arm lengths are more likely to have fewer books compared to those with longer arm lengths. However, it's important to note that correlation does not imply causation, and there may be other factors at play influencing the number of books owned by individuals.
Therefore, based on the given information, we can infer that people with shorter arm lengths are more likely to own the fewest number of books.
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Solve – 2v(v + 1) = 0.
v=
V=
At a school carnival, the diameter of a mat
The length of the metal frame that surrounds the trampoline is 37.6 feet.
Option D is the correct answer.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
We have,
Diameter of the metal frame = 12 feet
Radius = 12/2 = 6 feet
Now,
Circumference of the metal frame = 2πr
So,
The length of the metal frame that surrounds the trampoline.
= 2 x π x r
= 2 x 3.14 x 6
= 37.68 feet
= 37.7 feet
Thus,
The length of the metal frame is 37.6 feet.
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The complete questions:
At a school carnival, the diameter of the mat of a trampoline is 10 feet and the diameter of its metal frame is 12 feet. What is the length, in feet, of the metal frame that surrounds the trampoline? Use 3.14 for π and round your answer to the nearest tenth.
15.7 feet
18.9 feet
31.4 feet
37.7 feet
Factor 6x^2+27x+12
I NEED HELP ASAP
Answer:
\(\huge\boxed{6x^2+27x+12=3(x+4)(2x+1)}\)
Step-by-step explanation:
\(6x^2+27x+12=3(2x^2+9x+4)=3(2x^2+8x+x+4)\\\\=3\bigg[2x(x+4)+1(x+4)\bigg]=3(x+4)(2x+1)\)
A teacher buys pizza for her class. There are 5 pizzas, each with 8 slices. If she has 25 students, how many slices of pizza does each student get?
Group of answer choices
Which of the following lists of ordered pairs is a function?
A) (1,1), (2,2), (3,1), (3,2)
B) (-2,3), (2,4), (-3,6), (3,7)
C) (0,3), (-1,4), (1,6), (-1,7)
D) (2,5), (3,-4), (4,7), (2,2)
Answer:
B
Step-by-step explanation:
its B because the input for every pair has the same output, if the input had different outputs it would be considered not a function. Imagine it like a vending machine, if you were to press 3 on the vending machine you would get whatever 3 was, but if you pressed 3 and you get something else besides whatever 3 is it would be broken. I hope this was helpful, I struggled learning this stuff but now I got it down lol.
a square is inscribed in a circle with radius 6-/2 inches. what is the perimeter of the square in inches?
The perimeter of the square is 4*12 inches = 48 inches
To solve for the perimeter of the square inscribed in the circle, we first need to determine the side length of the square. Since the square is inscribed in the circle, the diameter of the circle is equal to the side length of the square.
Given that the radius of the circle is 6*√2 inches, we can find the diameter of the circle by multiplying the radius by 2:
Diameter = 2 * (6√2) inches
Diameter = 12√2 inches
Now that we know the diameter of the circle is equal to the side length of the square, we can find the perimeter of the square by multiplying the side length by 4:
Perimeter = 4 * (12√2) inches
Perimeter = 48√2\(\sqrt{2}\)\(\sqrt{2}\) inches
so the perimeter of the square is 48*√2 inches.
As we know that the square is inscribed in the circle, the diameter of the circle is equal to the diagonal of the square, so the side length of the square is equal to the diameter of the circle divided by sqrt(2) .
Side length = 12*√2 inches /√2
Side length = 12 inches
so, the perimeter of the square is 4*12 inches = 48 inches
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HELP PLEASE I WILL MARK BRAINOEST
Answer:
y ≤ 1/3x - 4
Step-by-step explanation:
it could not be options 3 or 4 because the y-intercept is -4, not +4
I picked a point in the shaded area to see which inequality, the first or the second, would make it true; the point I used was (3, -4)
1st option: y ≥ 1/3x - 4 Is this true? -4 ≥ 1/3(3) No, -4 is not GE 1
2nd option: y ≤ 1/3x - 4 Is this true? -4 ≤ 1/3(3) Yes, -4 is LE 1
Find the value of x in the solution of the system y = -4x + 48
Answer:
x = 12
Step-by-step explanation:
y= -4x+48
0=-4x+48
4x=48
x=12
David sold mugs at a crafts show. On the first day, he sold 10 mugs but lost $ 5. 40 on each mug. On the second day, he raised his price and sold 7 mugs with a profit of $ 5. 00 on each mug. What was his total profit or loss? Write a profit as a positive number and a loss as a negative number
David's total profit or loss is -$19, indicating a loss of $19.
To calculate David's total profit or loss, we need to determine the profit or loss on each day and then sum them up.
On the first day, David sold 10 mugs and incurred a loss of $5.40 on each mug. So the total loss on the first day is 10 * (-$5.40) = -$54.
On the second day, David sold 7 mugs and made a profit of $5.00 on each mug. Therefore, the total profit on the second day is 7 * $5.00 = $35.
To find the total profit or loss, we add the profit and loss from each day: -$54 + $35 = -$19.
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Which describes the standard deviation?
Step-by-step explanation:
standard deviation is used to measure risks involved in an investment instrument. Standard deviation provides investors a mathematical basis for decisions to be made regarding their investment in financial market. Standard Deviation is a common term used in deals involving stocks, mutual funds, ETFs and others. Standard Deviation is also known as volatility. It gives a sense of how dispersed the data in a sample is from the mean.
I hope I answered correctly :)
Determine the area of the figure.
The area of the trapezoid is x+11 cm.
Given a trapezoid has one side of (x+6) cm, the other side is 5 cm, and the height is 2 cm.
A two-dimensional quadrilateral consisting of the sum of non-adjacent parallel sides and a suitable non-parallel side is denoted as a trapezoid.
Now we will use the formula to find the area of a trapezoid
Area = 1/2 × (base 1 + base 2) × height
Here base 1 = (x+6) cm, base 2 = 5cm and height = 2cm
Substituting the values into the formula, we get
Area = 1/2 × (x+6+5) × 2
Area = 1/2 × (x+11) × 2
Area = x+11
Thus, the area of the given figure when one side is x+6, the other side is 5 cm and the height is 2 cm is x+11 cm.
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the dimensions of a rectangular photograph are even consecutive integers. the area of the photograph is 80 square inches. find the lengths of each side.
Answer:
The side lengths are 8 inches and 10 inches.
Step-by-step explanation:
Let l be the length and w be the width. w = l - 2.
We then have:
\(l(l - 2) = 80\)
\( {l}^{2} - 2l = 80\)
\( {l}^{2} - 2l - 80 = 0\)
\((l - 10)(l + 8) = 0\)
\(l = 10\)
\(w = l - 2 = 10 - 2 = 8\)
Please help me with these questions in algebra 1 and show work:
Answer:
I’m not gonna show you a graph but these instructions should help…
For the first equation.
You have
5y = -3x + 15
So we have to put it in y=mx + b format.
We can isolate y.
Divide 5 on both sides.
y = -3/5 x +3
You have your equation right htere.
The y intercept (b) here is 3 following the format y=mx +b
So now you plot a point on (0,3) since thats your Y- intercept, first point of contact on the y axis. Now for the slope. Slope goes by rise / run. Think of it as you get out of bed, you have to get up first before you run off to whatever you do.
Now you can just follow the instructions give, -3/5 is -3 rise and 5 run. Since a -3 rise is going down, we do down since its a negative slope here.
Starting from (0,3) you go down 3 units, then at that point go to the RIGHT 5 units. You should have a plotted point on, (5,0). Now following the postulate, if two lines exists in a plane that a line is created, draw a line using the 2 points from (0,3) to (5,0). (Draw throguh the whole thing, not segment and make sure it fills up the whole coordinate plane)
That is your equation.
For the second equation its the same thing, but this time it’s an inequality.
It’s the same gist and the equation is already simplified due for you!
Start on the y- intercept which is -2, or (0,-2)
Now since it’s a positive slope, because its 1/2, rise 1, run 2. From (0,-2) rise up 1 and then run two units to the RIGHT.
You should end up with, (2, -1)
Construct a line throught he two points (not segment line, fill the whole plane).
Now since its an inequality, we don’t stop there.
It’s a less then sign so when constructed the line that fills the whole plane.
You have to shade the bottom RIGHT of your screen that has a line throguh it.
So basically a line is made though two points and you have the whole plane covered. Shade in the bottom part WITHOUT crossing over the line.
Pls help due in 7 mins,ill give brainliest and 5 stars and thank you
Answer:
Step-by-step explanation:
a) 14x
b)-40c
c)8n
d)28x
e)8n
f)-15/2y= - 7 1/2 y
Parallelogram ABCD is rotated to create image A'B'C'D'.
The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:
Point A (2, 5) becomes A' (-5, 2).
Point B (5, 4) becomes B' (-4, 5).
Point C (5, 2) becomes C' (-2, 5).
Point D (2, 3) becomes D' (-3, 2).
By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.
This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.
Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.
Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
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Melissa has three different positive integers. She adds their reciprocals together and gets a sum of $1$. What is the product of her integers?Melissa has three different positive integers. She adds their reciprocals together and gets a sum of $1$. What is the product of her integers?
Answer:
One possible answer is 0,1,1
Step-by-step explanation:
-1x-1 is 1
HELP plz! and please explain! ty<3
Answer:
6f
Step-by-step explanation:
Combining like terms is easy. Just think it like this: 4+3-1, and add the f on later. That is 6, and add the f on and you get 6f. It's like adding variables.
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