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Related Questions
The following are ages of 16 of the signers of the Declaration of Independence.
43, 62, 35, 45, 42, 46, 39, 31, 60, 37, 39, 47, 35, 36, 35, 40
Send data to calculator
Find 10th and 75th percentiles for these ages.
(a)
The 10th
percentile: 0
(b)
The
75th
percentile: 0
Х
5
?
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The following list shows how many brothers and sisters some students have:
3
,
4
,
4
,
5
,
5
,
2
,
5
,
4
,
6
,
3
,
6
,
5
,
3
State the mode.
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Answer:
5
Step-by-step explanation:
So we have the set of numbers: 3,4,4,5,5,2,5,4,6,3,6,5,3.
Mode just means the most repeated number so let's sort them into groups.
(2) (3,3,3) (4,4,4) (5,5,5,5) (6,6).
the most repeated number is 5 which we see in the sequence about 4 times.
-2.2y - 3.4y -1(-5.7y) + 8.2y
Answers
Answer:
8.3y
Step-by-step explanation:
-2.2y - 3.4y -1(-5.7y) + 8.2y
Apply rule -(-a) = a:
⇒ -2.2y - 3.4y + 5.7y + 8.2y
Factor out common term y:
⇒ y(-2.2 - 3.4 + 5.7 + 8.2)
Carry out operations in the parentheses:
⇒ y(8.3)
Write in standard form:
⇒ 8.3y
Emily got a new fish tank for her pet betta fish.
The tank is shaped like a rectangular prism that
is 48 centimeters long, 30 centimeters wide,
and 30 centimeters high. She is filling the tank
with water from a faucet flowing at a rate of 7.2
liters, or 7,200 cubic centimeters, per minute.
How many minutes will it take Emily to fill the
tank?
Write your answer as a whole number or
decimal. Do not round.
Answers
Explanation:
To start off, we'll need the volume of the fish tank.
Volume of a rectangular block = (length)*(width)*(height)
V = L*W*H
V = 48*30*30
V = 43,200
The volume of the tank is 43,200 cubic cm.
Divide this over the flow rate of 7200 cubic cm per minute to get
(43,200)/(7200) = 6
It will take Emily 6 minutes to completely fill the tank.
If i have 3 apples then i lose 1 and get 2000 more then give half to a friend? how many apples do i have.
Answers
Answer:
1001
Step-by-step explanation:
You lose an apple, so now have 2You buy 2000 (you must be rich), so now have 2002You give half to your friend, so divide by 2That gives you 1001 applesPlease help! I cannot figure this out, I have no idea what to do.
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3. First you should identify which line corresponds to which equation.
x + 2y = -8 ⇒ y = -x/2 - 4
is the line with slope -1/2 and intercept (0, -4), so the first inequality refers to the lower line in the graph.
For the inequality itself, the solution set that satisfies it is either the region above or below it. To decide which, pick any point in the plane and plug its coordinates into the inequality. The origin is a natural choice, since it's not on the line and working with 0s is easy.
In the first inequality, we have
x = 0 and y = 0 ⇒ 0 + 2•0 = 0 < -8
which is not true. So (0, 0) is not in the solution set, and it stands to reason that any point in the same region will not be a solution. In other words, the region above the line x + 2y = -8 does not satisfy the inequality, while the one below it does.
In the second inequality,
x = 0 and y = 0 ⇒ 2•0 + 0 = 0 ≥ -1
which is true. This means the region containing (0, 0) above the upper line solves the second inequality.
The solution to the system of inequalities is then the intersection of these two regions. (See attached; I've labeled the solution to the first inequality in blue, the solution to the second one in red, and the solution to both in green.)
All this work is kind of overkill for this particular question, though. All you really need to do is check if the given point satisfies the inequalities:
• (-5, 5) :
x = -5 and y = 5 ⇒ -5 + 2•5 = 5 < -8 ⇒ NO
• (2, -5) :
x = 2 and y = -5 ⇒ -2 + 2•5 = 8 < -8 ⇒ NO
• (-4, -6) :
x = -4 and y = -6 ⇒ -4 + 2•(-6) = -16 < -8 ⇒ MAYBE
x = -4 and y = -6 ⇒ 2•(-4) + (-6) = -14 < -8 ⇒ YES
• (5, -7) :
x = 5 and y = -7 ⇒ 5 + 2•(-7) = -9 < -8 ⇒ MAYBE
x = 5 and y = -7 ⇒ 2•5 + (-7) = 3 < -8 ⇒ NO
4. x is the number of candy boxes with chocolates and y is the number of boxes without chocolates. Each of the x boxes cost $27.50, so if you have x boxes, their total cost is $27.5x. Each of the y boxes cost $25.00, so y boxes cost $25y. The sponsor doesn't want to order more than 100 boxes total, so
x + y < 100
but wants to raise at least $2000, so
27.5x + 25y ≤ 2000
Now do the same thing as before; plug in the listed x- and y-coordinates and pick the point that satisfies both inequalities. You will find that (50, 30) is the correct choice.
5. Consult the "overkill" part of problem 3. The line y = -3x + 6 has a negative slope, so it's the downward sloping one. Check if the origin satisfies the inequality:
x = 0 and y = 0 ⇒ 0 ≤ -3•0 + 6 ⇒ 0 ≤ 6 ⇒ YES
This means Regions II and III solve the first inequality.
Do the same with the other inequality:
x = 0 and y = 0 ⇒ 0 ≥ 1/2•0 + 1 ⇒ 0 ≥ 1 ⇒ NO
This tells us that Regions I and II solve the second inequality.
The intersection of these regions is of course Region II.
6. One of the plotted lines is apparently y = x + 4, which has a positive slope, so this must be the upper line. The shaded region below it corresponds to the solution of either y < x + 4 or y ≤ x + 4 and we eliminate B.
The other line has negative slope, which eliminates A and D since
3x - 4y = 20 ⇒ y = 3/4x - 5
has positive slope. This leaves D.
Helpppp me tell me the fraction
Answers
Answer: [tex]\frac{5}{6}[/tex] of a yard
=========================================================
Explanation:
The longest is [tex]\frac{6}{6}[/tex] yard and the shortest is [tex]\frac{1}{6}[/tex] of a yard.
This is because 6 is the largest numerator and 1 is the smallest numerator.
Subtract the two fractions:
[tex]\frac{6}{6} - \frac{1}{6} = \frac{6-1}{6} = \frac{5}{6}[/tex]
We subtract the numerators while the denominator stays the same at 6 the entire time.
This is the difference between the longest and shortest ribbon, and the unit is in yards.
A circle passes through the point (5,2) and touches the line y + x = 9 at the point (3.6). Find the coordinates of the center and the radius of the circle. Hence, state the standard equation of the circle
Answers
Step-by-step explanation:
solution is attached
MARK ME AS BRAINLISTFind the equation of a line that passes through the points (-4,-2) and (6, 3).
Answers
Answer:
[tex]y = \frac{x}{4} [/tex]
Step-by-step explanation:
we find the slope which also represented as m by the formula
[tex] m = \frac{(y2 - y1)}{(x2 - x1)} [/tex]
where from point (-4, -2) the x1 is -4 and the y1 is -2 and also from point (6, 3) the x2 is 6 and the y2 is 3.
so we substitute
[tex] \frac{(3 - ( - 2))}{(6 - ( - 4))} = \frac{(3 + 2)}{(6 + 4)} = \frac{5}{10} = \frac{1}{2} [/tex]
[tex]m = \frac{1}{2} [/tex]
after we have the slope, we calculate the equation of the line by using the formula
[tex](y - y1) = m(x - x1)[/tex]
but for now, we only have y1, m and x1 so can substitute
[tex](y - ( - 2)) = \frac{1}{2} (x - ( - 4))[/tex]
we have to get rid of the fraction 1/2 so we multiply it through by the denominator 2
[tex]2(y + 2) = 2 \times \frac{1}{2}(x + 4) [/tex]
we get
[tex]2(y + 2) = 1 \times (x + 4)[/tex]
so now we expand the brackets
[tex]2y + 4 = x + 4[/tex]
we make y stand alone by grouping liked terms.
[tex]2y = x + 4 - 4[/tex]
we get
[tex]y = \frac{x}{4} [/tex]
Espanol
- 9
1
2
P4
8
3
5
6
A triangle is placed in a semicircle with a radius of 3 yd, as shown below. Find the area of the shaded region.
Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Answer: 5.13 square cm
Step-by-step explanation:
Financial- One of the main differences between a Roth IRA and a traditional IRA is that:
A. You can withdraw money at different ages.
B. The amount you can contribute depends on your age.
C. A Roth IRA is offered by banks, while a traditional IRA is offered by an employer.
D. Contributions are taxed differently.
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The difference between Roth IRA and a traditional IRA is that Contributions are taxed differently. That is option D.
What is Individual Retirement Account (IRA)?An Individual Retirement Account (IRA) is an account that has tax advantages which is used for financial saving for a long term.
In Roth IRA, taxes are being paid while the individual is still working.
In traditional IR, taxes are being paid after retirement.
Therefore, the difference between Roth IRA and a traditional IRA is that Contributions are taxed differently.
Learn more about tax here:
https://brainly.com/question/25783927
The main difference between a Roth IRA and a traditional IRA is that D. Contributions are taxed differently.
What is IRA?It should be noted that IRA simply means an individual retirement account. They're usually not taxed until retirement.
In this case, the main difference between a Roth IRA and a traditional IRA is that the contributions are taxed differently.
Therefore, the correct option is D.
Learn more about IRA on:
https://brainly.com/question/27445373
the area of a parallelogram measures 171 cm the base of the parallelogram is 18 cm in length which of the following best represents the height of the parallelogram A. 11cm B. 9.5 C. 13.5 D. 8cm give step by step explanation
Answers
Answer:
A=bxh
171 cm=18cmxh
h=171/18
= 9.5 cm
which is B no.
Tanya is training a turtle for a turtle race. For every 3 of an hour that the turtle is crawling, he can travel 25 of a mile. At what unit rate is the turtle crawling? A 7 of a mile per hour 75 B. of a mile per hour C 37 } miles per hour D. 7 of a mile per hour
Answers
Answer:
D. but there should be an 8.33
Step-by-step explanation:
The answer should be 8.33 but in here it only says 7 which is the closest because the unit rate would be 8.33 miles an hour.
Mr. and Mrs. Doran have a genetic history such that the probability that a child being
born to them with a certain trait is 0.61. If they have four children, what is the
probability that at most two of their four children will have that trait? Round your
answer to the nearest thousandth.
Answers
Using the binomial distribution, it is found that there is a 0.011 = 1.1% probability that exactly one of their four children will have that trait.
For each children, there are only two possible outcomes, either they have the trait, or they do not. The probability of a children having the trait is independent of any other children, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X=x)=C_{n,x.}p^x.(1-p)^{n-x}[/tex]
[tex]C_{n,x}=\frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
85% probability of a children having the trait, hence [tex]p=0.85[/tex].They have four children, hence [tex]n=4[/tex]The probability is P(X = 1), hence:
[tex]P(X=x)=C_{n,x.}p^x.(1-p)^{n-x}[/tex]
[tex]P(X=1)=C_{4,1*}(0.85)^1.(0.15)^3=0.011[/tex]
0.011 = 1.1% probability that exactly one of their four children will have that trait.
A similar problem is given at https://brainly.com/question/24863377
A temperature of 35 degrees Fahrenheit is as cold as a temperature of -35 degrees Fahrenheit.
Answers
Answer:yes
Step-by-step explanation:
Multiply: (x−4)(x+5)
Simplify and write your answer in Standard Form.
HINT
Standard Form: ax2+bx+c
Answers
Answer:
x^2 + x -20
Step-by-step explanation:
First, Multiply
(x)(x) + (x)(5) + (-4)(5) + (-4)(x)
Second, Add The Like Terms Together
X^2 + x + -20
Answer: Its x^2 + 9x -20
Step-by-step explanation:
I did the test and got it wrong
Please solve with explanation high points
Answers
Answer:
k = 0, k = 4
Step-by-step explanation:
Given equation:
[tex]y=x^2+kx+3k+4x+4[/tex]
Rearrange into standard form [tex]ax^2+bx+c[/tex]:
[tex]\implies y=x^2+kx+4x+3k+4[/tex]
[tex]\implies y=x^2+(k+4)x+(3k+4)[/tex]
Therefore:
[tex]a=1, \quad b=(k+4), \quad c=(3k+4)[/tex]
If the vertex lies in the x-axis, then the quadratic has one (repeating) root at (x, 0). Therefore, we can use the discriminant to find the values of k.
Discriminant
[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}[/tex]
[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}[/tex]
[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}[/tex]
Therefore, set the discriminant to zero and solve for k:
[tex]\implies (k+4)^2-4(1)(3k+4)=0[/tex]
[tex]\implies k^2+8k+16-12k-16=0[/tex]
[tex]\implies k^2-4k=0[/tex]
[tex]\implies k(k-4)=0[/tex]
[tex]\implies k=0, k=4[/tex]
So the vertex lies in the x-axis when k = 0 or k = 4
How many milliliters are in 5 liters?
500 mL
5,000 mL
50,000 mL
50 mL
Answers
Answer:
5,000 is the correct answer
This is correct
7u<42
solve the inequality for U
Answers
Answer: u<6
Step-by-step explanation:
Isolate u by dividing both sides of the inequality by 7
[tex]\frac{7u}{7} < \frac{42}{7} \\u < 6[/tex]
u<6
Solution:In order to solve this inequality, we need to divide both sides by 7.Remember, our goal is to find the value of u.We know that 7u is less than 42.So, divide both sides by 7:u<6So u is less than 6.This also means that the numbers less than 6 will satisfy the inequality (make it true).Hope it helps.
Do comment if you have any query.
Determine the equation of the circle graphed below.
Answers
Answer:
(x+6)^2+(y-5)^2 = 3.1622^2
Step-by-step explanation:
The equation for a circle can be represented by (x+_)^2+(y+_)^2 = r^2
So, we already can find this portion of the equation knowing the center of the circle:
(x+6)^2+(y-5)^2= r^2
Next, we find the distance between the two given points to find the radius.
6-5 = 1
-3--6 = 3
1^2+3^2 = c^2
1+9= c^2
10=c^2
3.1622...
So, now we know the full equation.
(x+6)^2+(y-5)^2 = 3.1622^2
Jack dining room room is 5 inches wide and 12 inches long. He wants to install wooden trim around the top of the room. The trim cost 5$ per inch. How much will it cost him to buy enough trim?
Answers
Answer:
$170
Step-by-step explanation:
since he wants to put it around the top and not fill it, it will be a perimeter problem. 5+12+5+12 is 34, and 34 x $5 is 170.
A train travels at an average rate of 40 mph and travels for 110 miles . Write an equation
Answers
Answer:
the equation is 40/1 = 110/x hours
Step-by-step explanation:
It would take (2 hours and 45 min) for the train to travel this far
3827 x 8/8 lees than equal to or greater than 3827 asap
Answers
Answer:
It's equal to itself. Here are the two ways to do this problem. ↓
[tex](3,827 * 8) / 8 = 3,827[/tex][tex]3,827 * 100~percent(8/8) = 3,827[/tex]What is the equation of this line?
Answers
Answer:
y = 2x
3
Step-by-step explanation:
From the graph, y=4 when x= 6
And
y= -4 when x= -6
So, we can deduce the relationship between x and y.
Find the reciprocal of 6.
Answers
Answer:
1/6
Step-by-step explanation:
6 = 6/1
Therefore, reciprocal= 1/6
Answer:
1/6
Step-by-step explanation:
Triangle ABC is similar to triangle XYZ. Find side a.
Answers
Answer:
If ABC and XYZ are two similar triangles, then by the help of below-given formulas, we can find the relevant angles and side lengths. ∠A = ∠X, ∠B = ∠Y and ∠C = ∠Z AB/XY = BC/YZ = AC/XZ
Help help help help math math
Answers
Answer:
x> 2
Step-by-step explanation:
Multiply by 6
2x6=12
5x+2>12
Move the 2 and make it subtraction
5x>12-2
Subtract 12-2=10
5x>10 divide by 5
X>2
V
Playing with Numbers
5. Test the divisibility of the following numbers by 8:
(iii) 36712
Answers
Answer:
Last 3 digits 712 is divisible by 8 so 36712 is divisible by 8
Step-by-step explanation:
Multiply and reduce to lowest terms. Convert into a mixed number if necessary.
I will give you brainliest if you answer
Answers
Answer: 1 3/12
Step-by-step explanation: You can multiple straight accross and
5 is equivelant to 5/1 so we would do
5/1 * 3/12 = 15/12 which can get simplified into 1 3/12
Hopt this helps :D
Add the mixed numbers.
6 1/12
+ 3 1/3
The sum is ___
Answers
Answer:
9 5/6
Step-by-step explanation:
6 1/2 + 3 1/3
= (6 + 3) + (1/2 + 1/3)
= 9 + 1 * 3/ 2 * 3 + 1 * 2/ 3*2
= 9 + 3/6 + 2/6
= 9 + 3+2/6
= 9 + 5/6
= 9 5/6
Hey there!
6 1/12 + 3 1/3
= 73/12 + 10/3
= 73/12 + 40/12
= 73 + 40 / 12 + 0
= 113 / 12
= 9 5/12
Therefore, your answer is:
• 113/12
OR
• 9 5/12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)