Answer:
The dimensions of this rectangle are 65 in by 39 in ⇒ B
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ The perimeter of the rectangle = 2(length + width)
∵ The perimeter of a rectangle is 208 inches
∴ 208 = 2(length + width)
→ Divide both sides by 2
∴ 104 = length + width
∵ The ratio of its length to its width is 5: 3
∴ The sum of the ratios = 5 + 3 = 8
→ By using the ratio method
→ length : width : length + width
→ 5 : 3 : 8
→ x : y : 104
→ By using cross multiplication
∵ x × 8 = 5 × 104
∴ 8x = 520
→ Divide both sides by 8
∴ x = 65
∵ y × 8 = 3 × 104
∴ 8y = 312
→ Divide both sides by 8
∴ y = 39
∵ x and y represents the length and the width of the rectangle
∴ The length = 65 inches
∴ The width = 39 inches
∴ The dimensions of this rectangle are 65 in by 39 in
A study done by researchers at a university concluded that % of all student athletes in this country have been subjected to some form of hazing. The study is based on responses from athletes. What are the margin of error and 95% confidence interval for the study?
The missing digits is highlighted in bold form
A study done by researchers at a university concluded that 70% of all student-athletes in this country have been subjected to some form of hazing. The study is based on responses from 1800 athletes. What are the margin of error and 95% confidence interval for the study?
Answer:
Step-by-step explanation:
Given that:
The sample proportion [tex]\hat p = 0.70[/tex]
The sample size n = 1800
At 95% confidence interval level:
The level of significance = 1 - 0.95 = 0.05
Critical value: [tex]Z_{0.05/2} = Z_{0.025} = 1.96[/tex]
Thus, the Margin of Error E = [tex]Z_{\alpha/2} \times \sqrt{\dfrac{\hat p ( 1- \hat p)}{n}}[/tex]
[tex]= 1.96 \times \sqrt{\dfrac{ 0.70 ( 1-0.70)}{1800}}[/tex]
[tex]= 1.96 \times \sqrt{\dfrac{ 0.70 ( 0.30)}{1800}}[/tex]
[tex]= 1.96 \times \sqrt{\dfrac{0.21}{1800}}[/tex]
[tex]= 1.96 \times \sqrt{1.16666667\times 10^{-4}}[/tex]
the Margin of Error E = 0.021
At 95% C.I for the population proportion will be:
[tex]= \hat p \pm Z_{\alpha/2} \sqrt{\dfrac{\hat p(1- \hat p)}{n}}[/tex]
= 0.70 ± 0.021
= (0.70 - 0.021, 0.70 + 0.021)
= 0.679, 0.721)
explain three situations under which the President of India can proclaim emergency
Answer:
The President can exercise his emergency powers in three types of emergencies: national emergency, state emergency, and financial emergency.
National Emergency is imposed by the President on request by the Prime Minister’s cabinet of ministers. Article 352 of the Indian Constitution states that an emergency can be called in the event of imminent danger to the national security due to armed rebellion, war or external aggression.
State Emergency is often referred to as President’s Rule. State emergency is declared under Article 356, in the event when the state government collapses and the constitutional machinery fails in a particular state. It can be imposed for a period of six months and can last only for three years with parliamentary consent required every six months. The Governor, the President’s representative in the state, governs the state under emergency in the name of the President.
Financial Emergency is imposed by the President if he reckons financial stability of the country is in danger. Article 360 empowers the President to declare this emergency on the condition that it would be approved by the Parliament within two months of its enforcement.
when divided by 8 i am 70 when divided by 7 i am 80
Answer:
your answer is 560 am I correct.
8×70=560 /560 =8
70
7×80=560. / 560 =7
80
Please help me I will mark you as brainlist pls you need to pick 2 answers
Answer:
i believe the answer is option 1 and option 4
Step-by-step explanation:
Answer:
3 mi / 1hr
6 mi / 2hr
Step-by-step explanation:
4 pounds of sugar can make 8 batches of candy corn. How many pounds of sugar are needed if we want to make 12 batches of candy corn?
6
(4=8 so 8+4=12 which means, the answer is 2 because we can´t do 16, which is 8+8. But we can split the 4 in half since 4 is half of 8.)
are these all right?? PLS HELP IM SO DUMB AHAH.
Answ
yes
Step-by-step explanation:
Answer:??
Step-by-step explanation: How do I use this app??
Which graph correctly matches the equation y = 2-x?
Answer:
This is the graph I got (0,2) (2,0)
Step-by-step explanation:
Quadrilateral ABCD is graphed on a coordinate plane with the vertices A(-9,-6), B(-4,-6), C(-3,-2), and D(-8,-2). A. Quadrilateral ABCD is translated to the left 2 units and up 6 units. Write the translation in terms of x and y using ordered pair notation. B. Determine the coordinates of the vertices of the image. Be sure to name each of the vertices of the image with the correct notation.
Answer:
translated :
A'(-11,0)
B'(-6,0)
C'(-5,4)
D'(-10,4)
Step-by-step explanation:
Create an equation for each of the following sentences
1) The sum of a number and 12 is 16
helppp
Answer: x+12=16
Step-by-step explanation: hope this helps
Pls help me solve 55 x 77 x 247903
Answer:
1049869205
Step-by-step explanation:
55 * 77 = 4235
4235 * 247903 = 247903
What is the volume of the geometric solid produced by the triangle below
when it is rotated 360 degrees about the vertical axis YZ? *
Answer:
The volume of the geometric solid produced is 391 cubic cm ⇒ A
Step-by-step explanation:
When a right triangle is rotated about its vertical leg 360°, then it formed a cone its radius is the horizontal leg of the triangle and its height is the vertical lege of the triangle.
The rule of the volume of the cone is V = [tex]\frac{1}{3}[/tex] π r² h, where
r is the radius of its baseh is the length of its height∵ Triangle XYZ is rotated 360° about the vertical side YZ
∴ It formed a cone with a radius = XZ and a height = YZ
∵ [tex]\frac{YZ}{XZ}=tan(60)[/tex]
∵ YX = 6√3
∴ [tex]\frac{6\sqrt{3}}{XZ}=tan(60)[/tex]
∵ tan(60) = √3
∴ [tex]\frac{6\sqrt{3}}{XZ}[/tex] = √3
→ By using cross multiplication
∴ 6√3 = XZ(√3)
→ Divide both sides by √3
∴ 6 = XZ
∵ XZ = r and YZ = h
∴ r = 6 and h = 6√3
→ By using the rule of the cone above
∵ V = [tex]\frac{1}{3}[/tex] (π) (6)² (6√3)
∴ V ≅ 391 cm³
∴ The volume of the geometric solid produced is 391 cubic cm
find the midpoint of the line segment JK if j (4,6) and k(0,-4)
Answer:
[tex](2,1)[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDAS
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Step-by-step explanation:
Step 1: Define points
J (4, 6)
K (0, -4)
Step 2: Find midpoint
Substitute: [tex](\frac{4+0}{2},\frac{6-4}{2})[/tex]Add/Subtract: [tex](\frac{4}{2},\frac{2}{2})[/tex]Divide: [tex](2,1)[/tex]Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. In how many years would Mary's salary be the same at both companies. What would that salary be?
Answer:
6 years. Mary's salary would be 46,500.
Step-by-step explanation:
It's hard for me to explain how I got the answer. But I know the answer is right(I know cause I checked my work like five times).
A popular dance club allows 29 customers to enter per hour. The club has to keep their occupancy below 600 at any time during the day. Currently, the club has 339 customers. If none of the customers leave, how many more hours, x, can the club continue to accept new customers?
Select the number line that includes the largest number of hours the club can continue to accept new customers without exceeding their occupancy.
Answer:
The club can continue to accept customers for 9.66 hours, after which they'll have exceeded 600.
Step-by-step explanation:
339 + 29h = 600
29h = 261
h = 9.66
Which diagram shows possible angle measures of a triangle?
Answer:
The 2nd one
Step-by-step explanation:
A triangle has to equal 180 and 115+32+33=180
Answer:
the second one
Step-by-step explanation:
the angles have to add up to 180 in total and that one does
jarak kota a ke kota b adalah 130 km Amir berangkat dari a pukul 8.15 menuju b dengan kecepatan rata-rata 50 km per jam Amir tiba di kota b pada pukul
Answer:
10:51
Step-by-step explanation:
Given that :
Distance from A to B = 130km
Departure time = 8 : 15
Average speed = 50 km/hr
Recall :
Speed = distance / time
Time = distance / speed
Time = (130 km) ÷ (50km/hr)
Time = 130 / 50
Time = 2.6 hours = 2 hours + (0.6 * 60) = 2 hours 36 minutes
Arrival time = (8:15) + (2 hours 36 minutes) = 10:51
Writing the Equation of a Line in Slope-lh
Given Two Points
Try it
Write the equation of the line that passes through
the points (-1, 2) and (6, 3) in slope-intercept form,
Step 1: Choose (X1Y1).
Answer:
[tex]y=\frac{1}{7}x +\frac{15}{7}[/tex]
Step-by-step explanation:
Jose got 56 questions correct on a test, which gave him a 70%. How many questions were on the test
Divide correct questions by percentage:
56/ 0.7 = 80
There were 80 questions total.
The tax rate as a percent, r, charged on an item can be determined using the formula StartFraction c Over p EndFraction minus 1 equals r. – 1 = r, where c is the final cost of the item and p is the price of the item before tax. Louise rewrites the equation to solve for the final cost of the item: c = p(1 + ). What is the final cost of a $40 item after an 8% tax is applied? $
Answer:
43.20
Step-by-step explanation:
Had to take one for the team
Answer:
The answer is 43.20.
hey there, can you plz help me with my math assignment, plzzzzz
Answer:
i dont see it-
Step-by-step explanation:
Step-by-step explanation:
ok but what's the question
Solve the problem.
In less than two months the world will be celebrating Christmas, a season of gift giving. The Philippines is noted for the
longest Christmas celebration because Filipinos just love Christmas. One of the Filipino traditions during Christmas is the
exchange of gifts between families or friends. This year you want your gift to be very special, you want to make a personalized
gift box for your mother. The gift box has a volume of (2x - 10x2 - 8x + 58) cubic inches, the height of the gift box (2x-2) inches,
length of (4x-5) inches and width of (x + 1) inches.
Make a gift box using the given above by solving the value of x. Use any available materials at your home and be
creative.
Step-by-step explanation:
Filipino Christmas practices. Every country has its own set of traditions to follow for the Yuletide season, but Filipinos do it best. After all, we celebrate Christmas longer than any other country ...
have a nice day ahead hope it will help you
love u dear
What are the partial products for 52x27?
Answer:
(50*20) + (50*7)+(2*20)+(2*7)
Step-by-step explanation:
52 is 50 + 2
27 is 20 + 7
(50*20) + (50*7)+(2*20)+(2*7)
The value of y varies directly with x. If x = 4, then y = 20.
What is the value of x when y = 60?
5
7
12
44
Answer: 12
Step-by-step explanation:
Since value of y varies directly with x, we introduce a constant, k which will give:
y = kx
If x = 4, then y = 20 we then calculate the value of k.
y = kx
20 = 4k
k = 20/4
k = 5
We then find the value of x when y = 60. This will be:
y = kx
60 = 5x
x = 60/5
x = 12
The value of x is 12 when y is 60
i just need the answers, u dont need to show ur work :)
Answer:
10 units
Step-by-step explanation:
Formula to find the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Distance between two points (0, -7) and (-6, 1) will be,
d = [tex]\sqrt{(0+6)^2+(-7-1)^2}[/tex]
= [tex]\sqrt{36+64}[/tex]
= [tex]\sqrt{100}[/tex]
= 10
Therefore, distance between the given points is 10 units.
What is the value of n in the equation { (2n + 4) + 6 = -9 +4(2n+1)?
n =
N= 1
Answer:
n=1
Step-by-step explanation:
its stay same always.
list 5 examples and application where geometric sequences occur in everyday life.justify your answer are geometric sequences
Oy I hate this subject I swear just a few more but still giving out brainliest and points!
Answer:
C
Step-by-step explanation:
your y values which produce the range differ between 2 and 10 which means that will be your range. All of the values are real.
help!!! please & explain if can:(
Answer:
x = 15
Step-by-step explanation:
AEB is a right angle, a right angle is 90 degrees
this means 5x+15 needs to equal 90
plug in 15 for x
5 x 15 + 15 = 90
Can you plz help me with this question ?
Answer:
AC=PR because a and c are the first and third letters of the first group so you would do the same with the second.
Step-by-step explanation:
Which of the following expressions is equivalent to 3m(m - 2) - (m^2 + 1)
A. 2m^2 - 1
B. 4m^2 - 1
C. 4m^2 - 6m + 1
D. 2m^2 - 6m - 1