Answer:
This number can be found using the Rule of 70, which describes the formula dt = 70 / r, where dt is the doubling time, and r is the annual rate of growth.
Step-by-step explanation:
24/6 = 4
20 x 2 = 40 x 2 = 80 x 2 = 160 x 2 = 320
20 ---> 320 in the first day.
Keep doing this equation. Multiply each day's end result by 2 four times for 9 more days.
SAT Scores 1510 1480 2100 1800 1300 1250 1400 1430 1390 1520 The SAT scores for a group of 10 students are shown. What is the mean absolute deviation of the group (round to the nearest tenth)
The mean absolute deviation of the group of SAT scores is approximately 169.8.
To find the mean absolute deviation (MAD) of the group of SAT scores, we follow these steps:
1. Calculate the mean (average) of the scores.
2. Find the absolute deviation of each score from the mean.
3. Calculate the mean of these absolute deviations.
Let's proceed with the calculations:
1. Calculate the mean:
[tex]\[ \text{Mean} = \frac{1510 + 1480 + 2100 + 1800 + 1300 + 1250 + 1400 + 1430 + 1390 + 1520}{10} \][/tex]
[tex]\[ \text{Mean} = \frac{14,580}{10} \][/tex]
[tex]\[ \text{Mean} = 1458 \][/tex]
2. Find the absolute deviation of each score from the mean:
[tex]\[ \text{Absolute deviations: } |1510 - 1458| = 52, |1480 - 1458| = 22, |2100 - 1458| = 642, |1800 - 1458| = 342, \][/tex]
[tex]\[ |1300 - 1458| = 158, |1250 - 1458| = 208, |1400 - 1458| = 58, |1430 - 1458| = 28, |1390 - 1458| = 68, |1520 - 1458| = 62 \][/tex]
3. Calculate the mean of these absolute deviations:
[tex]\[ \text{MAD} = \frac{52 + 22 + 642 + 342 + 158 + 208 + 58 + 28 + 68 + 62}{10} \][/tex]
[tex]\[ \text{MAD} = \frac{1698}{10} \][/tex]
[tex]\[ \text{MAD} = 169.8 \][/tex]
Therefore, the mean absolute deviation of the group of SAT scores is 169.8 (rounded to the nearest tenth).
The mean absolute deviation of the group of SAT scores is 162 (rounded to the nearest tenth).
To find the mean absolute deviation (MAD) of a set of data, you first need to calculate the mean (average) of the data, then find the absolute difference between each data point and the mean, and finally, calculate the average of these absolute differences.
Calculate the mean of the given SAT scores: (1510 + 1480 + 2100 + 1800 + 1300 + 1250 + 1400 + 1430 + 1390 + 1520) / 10 = 14660/10
= 1466
Calculate the absolute deviation of each score from the mean: |1510 - 1466|, |1480 - 1466|, and so on.
This gives - 44+14+634+334+166+216+66+36+76+54
= 1620
Calculating MAD -
= 1620/10
= 162
The mean absolute deviation of the group of SAT scores is 162 (rounded to the nearest tenth).
HELP FAST PLZ I HAVE LITTLE TIME I DONT WANT TO FAIL.
Given:
Given that the diameter of the circle is [tex]\frac{7}{2} \ cm[/tex]
We need to determine the radius, circumference in terms of π and circumference using π = 3.14.
Radius:
The radius of the circle can be determined using the formula,
[tex]r=\frac{d}{2}[/tex]
Substituting [tex]d=\frac{7}{2}[/tex], we get;
[tex]r=\frac{(\frac{7}{2})}{2}}[/tex]
Simplifying, we get;
[tex]r=\frac{7}{4} \ cm[/tex]
Thus, the radius of the circle is [tex]\frac{7}{4} \ cm[/tex]
Circumference in terms of π:
The circumference of the circle can be determined using the formula,
[tex]C=2 \pi r[/tex]
Substituting [tex]r=\frac{7}{4} \ cm[/tex], we get;
[tex]C=2 \pi (\frac{7}{4})[/tex]
[tex]C=\frac{7}{2} \pi \ cm[/tex]
Thus, the circumference in terms of π is [tex]\frac{7}{2} \pi \ cm[/tex]
Circumference using π = 3.14:
Substituting π = 3.14 in the circumference of the circle [tex]C=\frac{7}{2} \pi \ cm[/tex], we get;
[tex]C=\frac{7}{2}(3.14)[/tex]
[tex]C=10.99 \ cm[/tex]
Thus, the circumference of the circle is 10.99 cm
Solve the system of equations. -10y+9x=-9
10y+5x=-5
by the use of elimination method
make all coefficients of subject to be eliminated similar..by multiplying the coefficients with one another
for eqn(i)
5(-10y+9x=-9)
-50y+45x=-45
for eqn(ii)
9(10y+5x=-5)
90y+45x=-45
-50y+45x=-45
90y+45x=-45
...subtract each set from the other...
we get
-140y+0=0
y=0
from eqn(i)
10y+5x=-5
0+5x=-5
x= -1
A cylindrical pond has a 12 ft diameter, and the water in the pond is 5 ft deep. Water is being drained from the pond at a rate of 1 cubic foot per minute. How long will it take to drain the pond
Answer:
=452.16 ft^3
It will take 452.16 min.
Step-by-step explanation:
During the first 15 weeks of the 2016 season of a certain professional football league, the home team won 141 of the 241 regular-season games. Is there strong evidence of a home field advantage in this league? Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before proceeding with the hypothesis test.
Answer:
The answer is 2.0190
Step-by-step explanation:
From the given question,
We recall that,
p = 141/241 = 0.5850
so, p = 0.5
The Hypothesis is:
H₀ : P = 0.5, this means that H0:50% of the games played will be won
vs
H₁ : P > 0.5, This indicates that, win is greater than 0.5 due to home field advantages.
n=241,x=141
Then,
SD(p)=√(p*q/n)=√(0.5*0.5/141)=0.0421
z = p - p/ SD (p) = 0.5850 - 0.5/0.0421 = 0.085/0.0421 =2.0190
therefore, there is strong evidence that there is home field advantages in professional football.
Following are the calculation to the hypothesis test:
[tex]\to \hat{p}= \frac{141}{241}=0.5850 \\\\\to p=0.5[/tex]
Hypothesis:
[tex]H_{0}:P=0.5[/tex] implies [tex]H_0:50\%[/tex] of a games would be won.
vs
[tex]H_{1}:P>0.5[/tex] because of home-field advantages, the victory exceeds [tex]0.5[/tex] . [tex]\to n=241 \\\\\to x=141\\\\\to SD(p)=\sqrt{(\frac{p\times q}{n})}=\sqrt{(\frac{0.5\times 0.5}{241})}=\sqrt{(\frac{0.25}{241})}= \sqrt{0.001}=0.0322 \\\\\to z=\frac{\hat{p}-p}{SD(p))}=\frac{0.5850-0.5}{0.0322}=\frac{0.085}{0.0322}=1.624\\\\ \to P(Z>1.624)=0.0521879[/tex]
conclusion [tex]P-value =0.0521879<0.05[/tex], As a result, we reject the null hypothesis, i.e. there's really significant evidence that home-field advantage exists in pro football.
Learn more:
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what is 4+5????????????????
Answer:
9
Step-by-step explanation:
4+5=9
Answer:
9
Step-by-step explanation:
4 then add 5 lol
:
Mario walked at a rate of 23 miles every 10 minutes.
What was his walking rate in miles per hour?
Answer:
It might be 414 miles per hour. Sorry, I don't have an explanation for now, SO SORRY!
x^2+3x−4=0 Solve for x. Write the smaller solution first, and the larger solution second.
smaller x=
larger x=
Answer:
smaller x: -4
larger x: 1
Step-by-step explanation:
We need to factor this. In order to do so, we need to find factor pairs of the coefficient of x^2 (which is 1 in this case) and of the constant (-4 in this case) such that they add up to 3.
Here, the factors of 1 are obviously just 1 and 1. The factors of -4 are (1, -4), (-1, 4), and (2, -2). Notice that 1 * 4 + 1 * (-1) = 3, so we know that our factor pair from 1 is (1, 1) and our factor pair from -4 is (-1, 4).
Then, we factor this quadratic into: (x - 1)(x + 4) = 0. Now, solve for x by setting each of these two factors equal to 0:
x - 1 = 0 ⇒ x = 1
AND
x + 4 = 0 ⇒ x = -4
So, the solutions are x = -4 and x = 1.
Hope this helps!
Answer:
smaller x= -4
larger x= 1
Step-by-step explanation:
x² + 3x - 4 = 0
x² + 4x - x - 4 = 0
x(x + 4) - (x + 4) = 0
(x - 1)(x + 4) = 0
x = -4, 1
i really need helppppp
Could it be a im doing the same thing
Answer: A which is x=-3
Step-by-step explanation:
You put 2x to the left hand side which makes it a negative. Then you move the 5 to the other side since 2x has a variable and 5 doesn't. You need to put one side of the equation with a variable and one not. Then 5 becomes -5 because you move it over. So it will be 6x-2x= - 7- 5.Then subtract 6x and 2x which is 4x. -7 subtract -5 equals -12. Divide -12 and 4 which makes it -x=3.
What are 3 equivalent ratios to 2/5
Answer:
10/25, 4/10, 20/50
Step-by-step explanation:
They all simplify to be 2/5.
Which ordered pair is a solution of the equation?
- x - 4y = -10
Answer:
-10,0
Step-by-step explanation:
(-10,0)
Please help me idk this
Answer:
pi times d
Step-by-step explanation:the actuall formula is 2 pi r but since the radius times 2 is the diameer its pi times d hope this helps god bless
Answer:
c
Step-by-step explanation:
the circumference formula
i have to find the answer if 33% of 21
Answer:
6.93 is you're answer.
Step-by-step explanation:
6.93/21 = 33%
i need help with rhombus,rectangles and squares
Answer:
a= 11, b= 12
Opposite angles of parallelogram are equal.
m<D = m<B
9b-2=106°
9b= 108°
b= 12°
Sum of the adjacent angles of a parallelogram = 180°
m<B+m<C = 180°
106°+7a-3=180°
7a = 180°-106°+3
7a=77°
a= 11°
Which concept is used to prove that the opposite sides of a parallelogram are congruent?
congruent rectangles
similar rectangles
congruent triangles
similar triangles
1 Intro
Done
Answer:
congruent triangles
Step-by-step explanation:
You can eliminate useless answers based on their wording. "Similar" anything cannot be used to prove congruence. "Rectangles" will not help you prove congruence of parallelogram sides. The only reasonable choice is ...
congruent triangles
_____
Typically, a diagonal is drawn through the figure, and the two triangles created are shown to be congruent, often by ASA. Then, by CPCTC, sides of the parallelogram are shown to be congruent.
Answer: congruent
Step-by-step explanation:
Find the area os the rectangle TOUR
Answer:
The answer to your question is 80 units²
Step-by-step explanation:
Data
R = (-6, -6)
U = (6, -2)
O = (4, 4)
T = (-8, 0)
Process
1.- Find the distance between R and U, and the points U and O
dRU = [tex]\sqrt{6 + 6)^{2} + (-2 + 6)^{2}}[/tex]
dRU = [tex]\sqrt{12^{2} + 4^{2}}[/tex]
dRU = [tex]\sqrt{144 + 16}[/tex]
dRU = [tex]\sqrt{160}[/tex] = 12.65
dUO = [tex]\sqrt{(4 - 6)^{2} + (4 + 2)^{2}}[/tex]
dUO = [tex]\sqrt{(-2)^{2} + (6)^{2}}[/tex]
dUO = [tex]\sqrt{4 + 36}[/tex]
dUO = [tex]\sqrt{40}[/tex] = 6.32
2.- Find the Area
Area = base x height
-Substitution
Area = 12.65 x 6.32
- Result
Area = 80 units²
drop down 8x – 2 – 5x + 7 =
Answer:
3x + 5
Step-by-step explanation:
Add like terms together:
8x - 2 - 5x + 7
3x - 2 + 7
3x + 5
An item that regularly sells for $425 is marked down to $318.75. What is the
discount rate?
Answer: 25%
Step-by-step explanation:
[tex]\frac{425}{318.75}=\frac{100}{x}[/tex]
[tex]x=\frac{(318.75*100)}{425}\\x=75[/tex]
100-75=25
Which triangle shows the incenter at point A?
The Images are placed in order A- D
Answer:
B
Step-by-step explanation:
the incenter is found by constructing angle bisectors and then intersecting the three angle bisectors.
Quadrilateral CDEF is inscribed in circle A, so m arc CDE + m arc CFE= 360°. ∠CFE and ∠CDE are inscribed angles, which means that their measures are _________________. So, _________________. Using the substitution property of equality, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary. twice the measure of their intercepted arcs; 2 ⋅ m arc CDE= m∠CFE and 2 ⋅ arc CDE = m∠CDE twice the measure of their intercepted arcs; marc CDE= 2 ⋅ m∠CFE and arc CFE = 2 ⋅ m∠CDE one half the measure of their intercepted arcs; m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE one half the measure of their intercepted arcs; 2 ⋅ m arc CDE= m∠CFE and 2 ⋅ arc CFE= m∠CDE
Answer:
one half the measure of their intercepted arcs.
m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2. m∠CDE.
Step-by-step explanation:
Quadrilateral CDEF is inscribed in circle A, so m arc CDE + m arc CFE= 360°. ∠CFE and ∠CDE are inscribed angles, which means that their measures are 1/2 the measure of their intercepted arcs. So, m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2. m∠CDE.
We can see the pic shown in order to understand the question.
define these terms
social reform
predestination
revival
Answer:social reform:is a kind of social movement that aims to make gradual change, or change in certain aspects of society, rather than rapid or fundamental changes.
predestination:The act of predestining or the condition of being predestined. revival:is an act or instance of reviving or the state of being revived.
Answer:
Social Reform: A kind of social movement that aims to make gradual change, or change in certain aspects of society, rather than rapid or fundamental changes.
Predestination: The act of predestining or the condition of being predestined.
Revival: An act or instance of reviving or the state of being revived.
A ball is thrown into a lake, creating a circular ripple that travels outward at a speed of 5 cm per second. Express the area, A. of the circle in terms of the number of seconds, t, that have passed since the ball hits the lake. A = 25t A = 2576 A = Ar? A = 5t? None of the above
Answer:
The area of the circular ripple after t second is
A =25π t²
where A is in cm².
Step-by-step explanation:
Given that,
Circular ripple that travels outward at a speed of 5 cm per second.
It means that, the radius of the circular ripple increases at a seed 5 cm/ s.
Therefore the radius of the circular ripple after t seconds is
r(t)= 5t
where r(t) is in cm.
We know ,
The area of a circular object is = π r²
The area of the circular ripple after t second is
A= π(5t)²
=25πt²
where A is in cm².
The area, A. of the circle in terms of the number of seconds, t, that have passed since the ball hits the lake is A(t)= 25t²π
The formula for calculating the area of the circular ripple as a function of time is expressed as:
A(t) = πr(t)²
Given that the ripple travels outward at a speed of 5 cm per second, hence;
r(t) = 5tcm/s
Substitute the radius into the formula to have:
A(t) = π(5t)²
A(t)= 25t²π
Hence the area, A. of the circle in terms of the number of seconds, t, that have passed since the ball hits the lake is A(t)= 25t²π
Learn more on area of circles here: https://brainly.com/question/16263780
Which is a quadratic function?
f(x) = 2x + x + 3
f(x) = 0x2 – 4x + 7
f(x) = 5x2 – 4x + 5
Answer:
C. f(x)=5x^2-4x+5 is the correct answer on edge 2021
You have a bag of 12 marbles. Six are blue, two are green, three are yellow, and one is red. If you reach into the bag and pull out one marble, what is the probability that it will be yellow?
Answer:
1/4 or 25%
Step-by-step explanation:
Given that:
blue marbles : 6 green marbles : 2yellow marbles: 3red marble: 1Total marbles: 12If you reach into the bag and pull out one marble, so the probability that it will be yellow is:
P (Yellow) = Number of yellow marbles in the bag / Number of marbles in the bag
= 3/12
= 1/4 or 25%
Hope it will find you well.
What’s 20 times 1000
to answer this it's simple
the answer is 20,000
The expression 15p+12r shows the total cost of buying p printed shirts and r plain shirts find the total cost if you buy two printed shirts and three plain shirts
In Mathematics, we use algebraic expressions to solve problems. In this case, substituting the numbers of printed and plain shirts into the given expression determines the total cost, which is 66.
Explanation:The subject of this question is in the discipline of Mathematics, specifically within algebraic expressions. The expression representing the total cost of buying shirts is 15p+12r, where p is the number of printed shirts and r is the number of plain shirts.
To find the total cost for buying two printed shirts and three plain shirts, we substitute p with 2 and r with 3 in the given expression.
So, the total cost becomes: 15*2 + 12*3 = 30 + 36 = 66. Therefore, the total cost of buying two printed shirts and three plain shirts is 66.
Learn more about Algebraic Expressions here:https://brainly.com/question/953809
#SPJ12
Final answer:
The total cost of buying two printed shirts and three plain shirts can be calculated by substituting into the expression 15p + 12r. The result is a total cost of $66.
Explanation:
The student is asking how to calculate the total cost of buying printed and plain shirts. The expression to find the total cost is given as 15p + 12r, where p is the number of printed shirts and r is the number of plain shirts. To find the total cost for two printed shirts and three plain shirts, we substitute p with 2 and r with 3 into the expression, which gives us:
Total Cost = 15(2) + 12(3)
Total Cost = 30 + 36
Total Cost = 66
Therefore, if you buy two printed shirts and three plain shirts, the total cost would be $66.
Help please
This question is stressing me out
Answer:
Maximum: C= 6(5) + 2y or C= 30 + 2y
Step-by-step explanation:
X can be greater than or equal to 0, but can also be less than or equal to 5.
Y is greater than or equal to 0.
4 times x then subtracted by y is greater than or equal to 1.
Since X can't go higher than 5, the maximum is 5.
Y can be anything since it can be greater than or egual to 0 and either way it would be greater than one.
I hope I could help!
x - 5y = -15 if x = -5
Answer:
If x= -5 y=2
Step-by-step explanation:
1. Plug in -5 in X then solve for Y
2. Solve for y
-5 - 5y = -15
-5y= -10
y= 2
Hope this helps!
Answer:
y = 2
Step-by-step explanation:
First, put the -5 in for x:
-5 - 5y = -15
Then, add five to both sides to get - 5y by itself:
-5y = -10
Finally, divide both sides by -5 to get y:
y = 2
Someone please help me
Answer: -2 dab
Step-by-step explanation: add all the negatives = -40
Then add all positives +26
-40+26=-14 /7 numbers =-2
The High Roller wheel in Las Vegas has a diameter of 520 feet and its base is 30 feet off the ground. You board a gondola on the wheel and rotate 240 degrees counterclockwise before the wheel temporarily stops. How high above the ground are you when the wheel stops?
Answer:
420 feet
Step-by-step explanation:
GIVEN: The High Roller wheel in Las Vegas has a diameter of [tex]520[/tex] feet and its base is [tex]30[/tex] feet off the ground. You board a gondola on the wheel and rotate [tex]240[/tex] degrees counterclockwise before the wheel temporarily stops.
TO FIND: How high above the ground are you when the wheel stops?
SOLUTION:
Consider the figure attached.
As wheel rotate counter clockwise [tex]240^{\circ}[/tex], its current position is [tex]120^{\circ}[/tex] clock wise.
Total height [tex]=260+30+h\rightarrow290+h[/tex]
Calculating value of [tex]h[/tex]
[tex]\sin 30^{\circ}=\frac{h}{260}\impliesh=260\sin30^{\circ}[/tex]
[tex]\implies h=260\times\frac{1}{2}=130feet[/tex]
Total height [tex]=290+130[/tex] feet
[tex]=420\text{ feet}[/tex]
Hence total height is 420 feet