Answer:
[tex]\frac{16}{28}[/tex]
Step-by-step explanation:
Question asked:
Select all of the ratios that are equivalent to 4 to 7.
1) 5/8
2) 12/10
3) 8.14
4) 5 to 10
5) 16/28
6) 9 to 16
Solution:
To know the ratios are equivalent to [tex]\frac{4}{7}[/tex] or not, we have to check each by cross multiplication:-
1) [tex]\frac{5}{8}[/tex]
[tex]\frac{4}{7} =\frac{5}{8} \\ \\[/tex]
By cross multiplication:
[tex]4\times8=5\times7\\ \\ 32=35[/tex]
Not equivalent.
2) [tex]\frac{12}{10}[/tex]
[tex]\frac{4}{7} =\frac{12}{10} \\ \\[/tex]
By cross multiplication:
[tex]4\times10=12\times7\\ \\ 40=84[/tex]
Not equivalent.
3) 8.14 = [tex]\frac{814}{100} \ eliminating\ decimal[/tex]
[tex]\frac{4}{7} =\frac{814}{100} \\ \\[/tex]
By cross multiplication:
[tex]4\times100=814\times7\\ \\ 400=5698[/tex]
Not equivalent.
4) [tex]\frac{5}{10}[/tex]
[tex]\frac{4}{7} =\frac{5}{10} \\ \\[/tex]
By cross multiplication:
[tex]4\times10=5\times7\\ \\ 40=35[/tex]
Not equivalent.
5)[tex]\frac{16}{28}[/tex]
[tex]\frac{4}{7} =\frac{16}{28} \\ \\[/tex]
By cross multiplication:
[tex]4\times28=16\times7\\ \\ 112=112[/tex]
Yes, this is equivalent.
6) [tex]\frac{9}{16}[/tex]
[tex]\frac{4}{7} =\frac{9}{16} \\ \\[/tex]
By cross multiplication:
[tex]4\times16=9\times7\\ \\ 64=63[/tex]
Not equivalent.
Thus, only [tex]\frac{16}{28}[/tex] is equivalent.
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
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).
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
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
If the area of a circle is 36pi, what is the circumference
Answer:
113.1cm^2
Step-by-step explanation:
We know the area for a circle is pi * r^2, where r is the radius. We know the diameter, so all we need to do to find the radius is half the distance of the diameter, which would then be 6 cm. We plug in 6 as r, we get 36pi cm^2 as our exact answer. And a good approximation would be 113.1 cm^2.
Answer: 37.68
Step-by-step explanation:
First off our formulas are:
[tex]Area: A=\pi r^2\\Circumference: C=2\pi r[/tex]
Solve for r in the area formula.
[tex]A=\pi r^2\\r^2=\frac{A}{\pi} \\r=\sqrt[]{\frac{A}{\pi} }[/tex]
[tex]r=\sqrt[]{\frac{36\pi}{\pi} }[/tex]
[tex]r=\sqrt[]{36}[/tex]
r=6
Plug this into the circumference formula.
[tex]C=2\pi r\\C=2(3.14)(6)\\C=37.68[/tex]
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.
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
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
A bag contains 2 red marbles, 3 green marbles, and 4 blue marbles.
If we choose a marble, then another marble without putting the first one back in the bag, what is the probability that the first marble will be green and the second will be red?
Answer:
0.083333333333 or 8.3%
Step-by-step explanation:
3/9x2/8
The second fractions has a demoninator of 8 bc u already took one from the bag and didnt return it
Answer:
1/12.
Step-by-step explanation:
There are a total of 9 marbles so
Prob(drawing first a green) = 3/9.
After drawing the green there are 8 marbles left in the bag, so:
Prob(drawing a red) = 2/8.
The required probability = 3/9 * 2/8
= 1/3 * 1/4
= 1/12.
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.
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.
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
The graph shows the number of pages in each chapter of a book that Josh is reading. A number line going from 2 to 28. 1 dot is above 2. 0 dots are above 4. 0 dots are above 6. 0 dots are above 8. 2 dots are above 10. 0 dots are above 12. 3 dots are above 14. 2 dots are above 16. 1 dot is above 18. 2 dots are above 20. 2. dots are above 22. 0 dots are above 24. 1 dot is above 16. 0 dots are above 28. Which statement is true about the effect of the 2-page introduction chapter? The outlier of 2 increases the median page count. The outlier of 2 increases the mean page count. The outlier of 2 decreases the median page count. The outlier of 2 decreases the mean page count.
Answer:
The outlier of 2 decreases the mean page count.
Step-by-step explanation:
Answer:
D) The outlier of 2 decreases the mean page count.
Step-by-step explanation:
Hope this helps:)
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
Here is a list of numbers that my teacher drew out of a hat from 49 possible numbers over the last 11 days: {35, 2, 39, 24, 19, 21, 39, 14, 24, 43, 8}. For this set of data, determine the:
a.) mean
b.) median
c.) mode
Answer:
a) Mean = 24.4 to the nearest tenth.
b) Median = 24.
c) There are 2 modes 24 and 39.
Step-by-step explanation
First list the numbers in ascending order:
2, 8, 14, 19, 21, 24, 24, 35, 39, 39, 43.
There are a total of 11 numbers.
a) Mean = sum of the above / 11 = 268/11
= 24.4.
b) Median = the middle number = 24,
c) Mode The numbers 24 and 39 occur twice so there are 2 modes.
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%
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:
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°
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.
:
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!
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.
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.
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.
Which ordered pair is a solution of the equation?
- x - 4y = -10
Answer:
-10,0
Step-by-step explanation:
(-10,0)
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
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
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
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:
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