Answer:
The anwser is number 4
Step-by-step explanation:
Find the unknown dimension of a rectangle if its perimeter is 254 meters and one dimension measures 6 meters. Use labeled sketches and equations to model and solve this problem. Show your work. Label your answer with the correct units.
please answer
Answer:2
Step-by-step explanation:
Ernest plans to attend Community College for two years. tuition at the college is $6,900 each year and it's earned a one-time scholarship for $2,500 he expects to earn $2,000 each year at his part-time job his parents have promise to pay the rest of his tuition how much money will earn his parents pay for two years of tuition
Answer:
7,300
Step-by-step explanation:
6900x2 years=13,800 total tuition.
13800-2500-4000 (2000x2)=7,300
Find the value of x and the value of y
Answer:
look at the picture i have sent
i need help its worth 30 points i have no clue how to do it and i have 5 mins left
Answer:
B
Step-by-step explanation:
hi pls help me lovelies
Answer:
53.8%
Step-by-step explanation:
Answer:
u already got ur awnser so hi
Step-by-step explanation:
ui
In an examination the following scores were a chief by a group of students:
draw a cumulative frequency graph of the data and use it to find:
a) The median examination mark.
b) How many students score less than 65 marks
c) How many students scored between 50 and 80 marks
d) How many students failed, given that the pass mark is 50
e) The credit mark, mark given that the top 25% of students were awarded credits
f) The interquartile range.
The median of cumulative frequency is 67.86 and the interquartile range is 32.86.
What is median?
The mean is "the middle number is sorter, ascending or descending, list of numbers and can be more descriptive of that data set than the average".
What is interquartile range?
The interquartile range is "measure of where the 'middle fifty' is in data set".
According to the question,
Score Mid value Frequency Cumulative frequency
10 ≤ x < 20 15 1 1
20≤x < 30 25 3 4
30≤x < 40 35 6 10
40≤x < 50 45 15 25
50≤x < 60 55 14 39
60≤x < 70 65 28 67
70≤x < 80 75 18 85
80≤x < 90 85 11 96
90≤x < 100 95 4 100
Uniform interval is 10.
a) The median of examination mark
Frequency = 1+3+6+15+14+28+18+11+4 = 100
Median = [tex]l+\frac{(\frac{N}{2} - m )}{f}[/tex] × c where l = lower limit of the median class, N = total frequency, m = cumulative frequency of the pre median class,
f = frequency of the median class, c = uniform class interval.
= 50 + [tex]\frac{\frac{100}{2} - 25 }{14}[/tex] × 10
= 50 + [tex]\frac{50 - 25}{14}[/tex] × 10
= 50 +[tex]\frac{25}{14}[/tex] × 10
= 50 + 1.786 × 10
= 50 + 17.86
= 67.86.
Thus, the median of examination mark is 67.86.
b) The number of students score less than 65 marks.
In order to find the number of students score less than 65 marks sum of all frequency below 65.
= 1 + 3 + 6 + 15 + 14
= 39
Thus, the number of students score less than 65 marks is 39.
c) The number of students scored between 50 and 80 marks
In order to find the number of students scored between 50 and 80 marks only if add frequency between 50 and 80 marks.
= 14 + 28 + 18 + 11
= 71
Thus, the number of students scored between 50 and 80 marks is 71.
d) The number of students failed, given that the pass mark is 50.
In order to find the number of students failed, given that the pass mark is 50 only if add frequency below 50.
= 1 + 3 + 6 + 15
= 25.
Thus, the number of students failed, given that the pass mark is 50 is 25.
f) The interquartile range
Interquartile range = Q₃ - Q₁ [In words, difference between upper quartile range and lower quartile range]
Q₁ = l₁ + [tex]\frac{\frac{N}{4} - m }{f}[/tex] × c where l₁ is the lower limit of the Q₁ class, m₁ is the cumulative frequency of the pre median class, f₁ is the Frequency of the Q₁ class, c is the class interval, N is the total frequency.
[tex]\frac{N}{4}[/tex] = [tex]\frac{100}{4} = 25[/tex]; [tex]\frac{3N}{4}[/tex] = 75
= 40 + [tex]\frac{25 - 25}{6}[/tex] * 10 = 40
Q₁ = 40
Q₃ = l₃ + [tex]\frac{3\frac{N}{4} - m3 }{f3}[/tex] × c
= 60 + [tex]\frac{75 - 39}{28}[/tex] × 10
= 60 + [tex]\frac{36}{28}[/tex] × 10
= 60 + 1.2857 × 10
= 60 + 12.857
= 72.857
Interquartile range = upper quartile range - lower quartile range
= 72.857 - 40
= 32.8571 ≈ 32.86.
Thus, interquartile range is 32.86.
Hence, a) The median of examination mark is 67.86.
b) The number of students score less than 65 marks is 39.
c) The number of students scored between 50 and 80 marks is 71.
d) The number of students failed, given that the pass mark is 50 below 50 is 25.
f) The interquartile range is 32.86.
Learn more about median here
https://brainly.com/question/12635191
#SPJ2
A car manufacturer advertises that its new sports car has a turning radius of only 16 feet. The front tires are 4.5 feet apart. The path of the inside and outside tires is shown in the diagram. Compare the distance that the outside tires must travel to the distance the inside tires must travel in order to make a complete circle.
Answer:
Solution given:
radius of small circle[r]=16-4.5ft=11.5ft
radius of large circle[R]=16ft
nowcircumference of small circle=2πr=2*3.14*11.5=72.22ft
circumference of large circle=2πR=2*3.14*16=100.48ft
distance that the outside tires must travel to the distance the inside tires must travel in order to make a complete circle
=[tex]\frac{100.48}{72.22}=\frac{32}{23}[/tex]
ratio is 32:23.
Which choices are equivalent to the fraction below? Check all that apply.
39
A. O
O B. 31
C. 318
✓ D. 1
O E. 30
Answer:
I believe it'll be A and E.
hope this helps!
Answer:
D and E
Step-by-step explanation:
Using the rules of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , [tex]a^{0}[/tex] = 1
Then
[tex]\frac{3^{9} }{3^{9} }[/tex]
= [tex]3^{(9-9)}[/tex]
= [tex]3^{0}[/tex] → E
= 1 → D
20 POINTS!!!!! Find the corresponding point on the unit circle for the given radian measure.
0=7pi/6
Answer:
(-[tex]\frac{\sqrt{3}}{2}[/tex],-[tex]\frac{1}{2}[/tex])
Step-by-step explanation:
The corresponding point on the unit circle is ( -√3/2 , -1/2).
What is a unit circle?A unit circle is just a circle that has a radius of 1 unit. A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another.
For the given situation,
The radian measure is θ = 7pi/6
In unit circle, the radian θ = [tex]\frac{7\pi }{6}[/tex] lies in the third quadrant and it's equal degree measure is [tex]210[/tex]°.
The corresponding point for this radian measure is
( [tex]\frac{-\sqrt{3} }{2} ,\frac{-1}{2}[/tex] )
Hence we can conclude that the corresponding point on the unit circle is ( -√3/2 , -1/2).
Learn more about unit circle here
https://brainly.com/question/4521626
#SPJ2
Find sin 0 a.8/15 b.8/17 c.15/8 d.15/17
Answer:
d.
Step-by-step explanation:
tan Ф = opp. / adj. = 15/8
hyp = √(8²+15²) = √289 = 17
sin Ф = opp./ hyp = 15/ 17
What is the volume??????
Answer:
[tex]36\:\mathrm{in^3}[/tex]
Step-by-step explanation:
The area of a prism is given by the product of the base and the height. In this triangular prism, the area of the either base is:
[tex]A=\frac{1}{2}\cdot 3\cdot 4=6\:\mathrm{in^2}[/tex]
The height is marked as [tex]6[/tex] inches. Thus, the volume of the prism is:
[tex]\frac{1}{2}\cdot 3\cdot 4\cdot 6=\boxed{36\:\mathrm{in^3}}[/tex]
10. A new fish tank has a volume of 10x2 + 30x -40 cubic inches. Assuming V =
LWH, determine the expressions of the length, width and height of the fish tank.
9514 1404 393
Answer:
10, (x+4), (x -1)
Step-by-step explanation:
The given volume expression can be factored as ...
V = 10x² +30x -40
= 10(x² +3x -4)
= 10(x +4)(x -1)
The expressions representing length, width, and height might be ...
10, (x+4), (x -1)
A painter is going to apply a special coating to a triangular metal plate on a new building. Two sides
measure 14.9 cm and 14.7 cm. She knows that the angle between the two sides is 124°. What is the
area of the surface she plans to cover with the coating?
Answer:
[tex]Area = 90.03cm^2[/tex]
Step-by-step explanation:
Given
[tex]s_1 = 14.9[/tex]
[tex]s_2 = 14.7[/tex]
[tex]\theta = 124[/tex] --- angle in between
Required
The area of the plate
Since [tex]\theta = 124[/tex] is between [tex]s_1[/tex] and [tex]s_2[/tex]
The area is:
[tex]Area = \frac{1}{2} * s_1 * s_2 * \sin(\theta)[/tex]
[tex]Area = \frac{1}{2} * 14.9 * 14.7 * \sin(124.7)[/tex]
[tex]Area = \frac{1}{2} * 14.9 * 14.7 * 0.8221[/tex]
[tex]Area = 90.03cm^2[/tex]
Quadrilateral RUST has a vertex at R(4,2).
What are the coordinates of R'after the translation (x, y) + (x - 1, y - 1).
followed by a dilation by a scale factor of 2, centered at the origin?
O A. (6,1)
O B. (7,3)
C. (6,2)
O D. (8,2)
Answer: it is C
Step-by-step explanation:
Translation: (4,2) -> (3,1)
Dilation: (3,1) -> (6,2)
The solution is, the coordinates of point R' are (7, 3) and the correct option is B.
What is transformation?A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have,
Given:
The coordinate of point R in quadrilateral RUST are (4,2).
R is dilated by a scale factor of 2, centered at the origin, followed by the translation (x, y) + (x - 1, y - 1).
To find:
The coordinates of R' after dilation and translation.
Solution:
If a figure is dilated by a scale factor of 2, centered at the origin, then
(x, y) ⇒ ( 2x, 2y )
We value R(4,2).
R(4,2) ⇒ R_1( 8,4)
The rule of translation is:
(x, y) + (x - 1, y - 1).
Using this rule, we get
R_1( 8,4) ⇒ R' ( 7,3)
Therefore, the coordinates of point R' are (7, 3) and the correct option is B.
To learn more on transformation click:
brainly.com/question/20211457
#SPJ2
The Ballantyne area has 200 people over the age of eighty-five living in it of these people, 56 of them have a dog, 24 of them have a cat, and 16 of them have both of a person
is chosen at random, find the probability that they have a cat, if it is known they have a dog.
a. 1/2
b.3/7
c.2/7
d.2/25
PLEASE HELP I DONT KNOW
Answer:
8ft
Step-by-step explanation:
Radius is the half of the diameter, which is 16ft in this circle. So half the diameter will be 16÷2 which is 8ft.
MARK ME BRAINLIEST :)))
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
8ft.Because,
r = 1 d
ㅤ 2
r = 1 × 16
ㅤ 2
r = 8 ft.
Thanks Hope it helps.De un saco de frutas que contiene 3 naranjas, 2 manzanas, y 3 plátanos, una muestra aleatoria de 2 piezas de se selecciona la fruta. Si X es el número de naranjas e Y es el número de manzanas en la muestra, encuentre
(a) la distribución de probabilidad conjunta de X y Y, muestre la tabla de distribución;
(b) Pruebe que la suma de columnas y renglones nos entregan las distribuciones marginales de X , Y
(c) Calcule P(Y = 0|X = 2).
(d) Demuestre que las variables aleatorias X ,Y no son estadísticamente independientes
Answer:
speak english plz
Step-by-step explanation:
y=-9x^2+571x-3884 find x
Answer:
I'm pretty sure it's either 3.1 or 4.1
Step-by-step explanation:
Answer:
x = (571 ± √186217) / 18
x ≈ 7.74840677368558702303.. or 55.69603767075885742140..
x ≈ 7.75 or 55.70
Step-by-step explanation:
y = -9x² + 571x – 3884.
x = (-b ± √b² – 4ac) / 2a
x =
(-(571) ± √((571)² – 4((-9) × (-3884))) / 2(-9)) →
(-571 ± √(326041 – 4(34956))) / -18) →
(-571 ± √(326041 – 139824)) / -18) →
(-571 ± √(186217)) / -18 →
(571 ± √186217) / 18 →
When factoring the difference of two squares, what will the signs in the parenthesis be
Answer:
The signs will be + and -
Step-by-step explanation:
Required
The signs in the parenthesis of difference of two squares
Let the expression be:
[tex](x^2 - a^2)[/tex]
Expand
[tex]x^2 - a^2 = x^2 -ax + ax - a^2[/tex]
Factorize
[tex]x^2 - a^2 = x(x -a) + a(x - a)[/tex]
Factor out x - a
[tex]x^2 - a^2 = (x +a)(x - a)[/tex]
See that the sign in front of a is + and - in the parentheses
help me plz god bless
Answer:
d.
Step-by-step explanation:
The gradient is -5 meaning that it's going downwards as x increases
The y-intercept is 3
Feel free to mark as brainliest :D
evaluate the expression when a =3 and y=2.
y-5a
Answer:
y-5a2-5×32-15-13hope it helps
stay safe healthy and happy.Answer:
Step-by-step explanation:
1. replace variables with the integers they represent. 2-5(3)
2. multiply 5 * 3 = 15
3. Subtract 2-15
Answer - 13
5/7 ÷ 2/3=?
Is it A?
Is it B?
Is it C?
Or is it D?
Answer:
[tex]C.[/tex] 5/7 × 2/3
Step-by-step explanation:
In the triangle below, we can solve to find GH = 16. Explain each
step you would do to solve for GH, and how you knew you could do
each step.
E
2x
Н.
F
3x - 8
G
Edit View Insert Format Tools Table
12pt v Paragraph B IVA e Tv
Answer:
see explanation
Step-by-step explanation:
HF is a perpendicular bisector of Δ EGH
Then Δ EGH is an isosceles triangle with 2 congruent sides GH and EH , so
GH = EH
3x - 8 = 2x ( subtract 2x from both sides )
x - 8 = 0 ( add 8 to both sides )
x = 8
Then
GH = 3x - 8 = 3(8) - 8 = 24 - 8 = 16
Answer:
From diagram, FG = EF
Solving fo HF and FG by Pythagorean Theorem
HF² = (3x -8)² -FG²
HF² = (2x)² -FG²
We can eliminate HF² and FG² from BOTH equations because they cancel out.
The 2 equations become (3x -8)² = (2x)²
9x² -48x +64 = 4x²
5x² -48x +64 = 0
Using Quadratic Formula
X1 = 8
X2 = 1.6
********************************************
2x = 16 AND 2x = 3.2
F is 90°
3x -8 = 16 AND 3x -8 = 2.8
Step-by-step explanation:
Practice:
Complete the table:
a. 1
b. -1
c. 2
d. 0
Please select the best answer from choices provided
Answer:
D. 0
Step-by-step explanation:
I calculated logically
Anyone know how to do this?
Answer:
1) [tex]2^{\frac{5}{3} }[/tex] = [tex]2^{\frac{5}{3} (3) }[/tex] = [tex]2^{5}[/tex]
2) [tex]2^{\frac{5}{3} }[/tex] = [tex]\sqrt[3]{2^{5} }[/tex] = [tex]\sqrt[3]{32 }[/tex]
3) [tex]2^{\frac{5}{3} }[/tex] = 3.17...
1^2 = 1
2^2 = 4
[tex]2^{\frac{5}{3} }[/tex] is between 1 and 2 to the power of 2
Select all numbers that are solutions to the inequality k > 5 a 4
b 5
c 6
d 5.01
e 5.2
f 0.5
Answer: C D E
Step-by-step explanation:
In a survey of 554 U.S. adults, it is found that 360 favor a ban on stem cell research. Set up the null and the alternative hypotheses to test whether there is sufficient evidence that over 61% favor a ban on stem cell research. If alpha is set to 3.0%, should the null hypothesis be rejected
Answer:
The null hypothesis will be rejected
Step-by-step explanation:
The null hypothesis is that people who favour ban on stem cell research is less than or equal to 0.61
The alternate hypothesis is that people who favour ban on stem cell research is greater than 0.61
Proportion of population = 0.61
Total events = 360
Sample size = 554
Sample proportion = 360/554 = 0.649
As per test statistics –
Z = (p-p0)/sqrt {(p0 (1-p0))/n} = (0.649 -0.61)/ {(0.61 (1-0.61))/554}
= 0.039/0.021
= 1.857
P (Z<1.857) = 1- P (Z<1.857) = 1-0.9664 = 0.0336
So alpha value is 0.064.
Thus, we will reject the null hypothesis
..........................Pls help math
Answer:
x=65
Step-by-step explanation:
that is all. It is isoceles triangle so if p is 65, l is also 65
Answer:
65 degrees
Step-by-step explanation:
The two sides of the angle is equal which means it is an isosceles triangle, the value will be 65 degrees
Ms. Jimenez surveyed 430 men and 200 women about their vehicles. Of those surveyed, 160 men and 85 women said that they own a white vehicle.
Find P(White)'.
A. 16/43
B. 11/18
C. 23/77
D. 3/7
Answer:
Step-by-step explanation:
Solve for x 6x + 7 = 19x = 28
Help and I will give brainiest use the photo to answer. Please provide step by step answer explanation
The value of x to satisfy the given case is 2.
What is mid point theorem?The mid point theorem states that in a triangle the line segment joining the mid point of two sides is always parallel and equal to half of the length of the third side.
As per the given figure the data is as follows,
The line segment of length 6x + 7 is parallel to the side of a triangle of length 19x - 28 such that it divides other two sides equally.
Apply mid point theorem to obtain,
6x + 7 = 1/2(19x - 28)
=> 19x/2 - 6x = 14 - 7
=> 7x/2 = 7
=> x = 2
Hence, the value of x for the given triangle is 2.
To know more about mid point theorem click on,
https://brainly.com/question/13677972
#SPJ2