Answer:
5:3
Step-by-step explanation:
140:84 =
35:21 =
5:3
Hope that helps! (If you're up for it, can you give me a brainliest? Thanks)
The ratio is 5:3
What is ratio?A ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.
Given:
Total participants= 224
nonresidents =84
So, residents= 224-84 = 140
Now, ratio of residents to nonresidents
=140/84
=70/42
=10/6
=5/3
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At this rate, how much would Cary earn for 55 hours of babysitting?
Answer:
if Cary works at 8 hours per hour, then she will have $440
Step-by-step explanation:
this is, if you are referring to your previous question about Cary making $56 in 7 hours.
mr hoges wonts to buld a fences around his entir retangler garden what is the totle distance around his garden
Answer:
perimeter = 2(length) + 2(width)
Step-by-step explanation:
Can someone help I’m confused
Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20th percentile 20 Correct: Your answer is correct. 25th percentile 21 Incorrect: Your answer is incorrect. 65th percentile 27.5 Incorrect: Your answer is incorrect. 75th percentile 28 Incorrect: Your answer is incorrect.
Answer:
[tex]P_{20} = 20[/tex] --- 20th percentile
[tex]P_{25} = 21.75[/tex] --- 25th percentile
[tex]P_{65} = 27.85[/tex] --- 65th percentile
[tex]P_{75} = 29.5[/tex] --- 75th percentile
Step-by-step explanation:
Given
27, 24, 21, 16, 30, 33, 28, and 24.
N = 8
First, arrange the data in ascending order:
Arranged data: 16, 21, 24, 24, 27, 28, 30, 33
Solving (a): The 20th percentile
This is calculated as:
[tex]P_{20} = 20 * \frac{N +1}{100}[/tex]
[tex]P_{20} = 20 * \frac{8 +1}{100}[/tex]
[tex]P_{20} = 20 * \frac{9}{100}[/tex]
[tex]P_{20} = \frac{20 * 9}{100}[/tex]
[tex]P_{20} = \frac{180}{100}[/tex]
[tex]P_{20} = 1.8th\ item[/tex]
This is then calculated as:
[tex]P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)[/tex]
[tex]P_{20} = 16 + 0.8*(21 - 16)[/tex]
[tex]P_{20} = 16 + 0.8*5[/tex]
[tex]P_{20} = 16 + 4[/tex]
[tex]P_{20} = 20[/tex]
Solving (b): The 25th percentile
This is calculated as:
[tex]P_{25} = 25 * \frac{N +1}{100}[/tex]
[tex]P_{25} = 25 * \frac{8 +1}{100}[/tex]
[tex]P_{25} = 25 * \frac{9}{100}[/tex]
[tex]P_{25} = \frac{25 * 9}{100}[/tex]
[tex]P_{25} = \frac{225}{100}[/tex]
[tex]P_{25} = 2.25\ th[/tex]
This is then calculated as:
[tex]P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)[/tex]
[tex]P_{25} = 21 + 0.25(24-21)[/tex]
[tex]P_{25} = 21 + 0.25(3)[/tex]
[tex]P_{25} = 21 + 0.75[/tex]
[tex]P_{25} = 21.75[/tex]
Solving (c): The 65th percentile
This is calculated as:
[tex]P_{65} = 65 * \frac{N +1}{100}[/tex]
[tex]P_{65} = 65 * \frac{8 +1}{100}[/tex]
[tex]P_{65} = 65 * \frac{9}{100}[/tex]
[tex]P_{65} = \frac{65 * 9}{100}[/tex]
[tex]P_{65} = \frac{585}{100}[/tex]
[tex]P_{65} = 5.85\th[/tex]
This is then calculated as:
[tex]P_{65} = 5th + 0.85(6th - 5th)[/tex]
[tex]P_{65} = 27 + 0.85(28 - 27)[/tex]
[tex]P_{65} = 27 + 0.85(1)[/tex]
[tex]P_{65} = 27 + 0.85[/tex]
[tex]P_{65} = 27.85[/tex]
Solving (d): The 75th percentile
This is calculated as:
[tex]P_{75} = 75 * \frac{N +1}{100}[/tex]
[tex]P_{75} = 75 * \frac{8 +1}{100}[/tex]
[tex]P_{75} = 75 * \frac{9}{100}[/tex]
[tex]P_{75} = \frac{75 * 9}{100}[/tex]
[tex]P_{75} = \frac{675}{100}[/tex]
[tex]P_{75} = 6.75th[/tex]
This is then calculated as:
[tex]P_{75} = 6th + 0.75(7th - 6th)[/tex]
[tex]P_{75} = 28 + 0.75(30- 28)[/tex]
[tex]P_{75} = 28 + 0.75(2)[/tex]
[tex]P_{75} = 28 + 1.5[/tex]
[tex]P_{75} = 29.5[/tex]
48g of 70g petcentage
Answer:
48/70 = 24/35 = 0.685714 = 68.57%
Answer:
48 acopf70 (eg)3 ( nt)2
Step-by-step explanation:
48 acopf70 (eg)3 (nt)2
If sin(x) = cos(y), which of these are possible values of x and y?
A X=and y = 0
B x = 15 and y = 30
C x = 30 and y = 60
D x = 120 and y = 60
Step-by-step explanation:
C
good luck
:) :) :) :) :) :) :)
The value of x and y are respectively, 30°, 60°. So option C is correct.
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
There are 6 commonly used functions in trigonometry with their name and abbreviations-
sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)
If sin(x) = cos(y), then x and y must satisfy the following relationship:
sin(x) = cos(90 - x)
So, x and 90 - x must both be in the range of 0 to 90 degrees, or x must be in the range of 0 to 45 degrees.
Therefore, the only possible values of x and y that satisfy this relationship are:
x = 30 degrees and y = 60 degrees
Thus, the value of x & y are 30° & 60°
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Which of the equations or
inequalities below are true?
O A. 7-274
O B. 7-2 5 5
D C. 7 - 2 = -5
D. 7-2 > 6
Answer:
C
Step-by-step explanation:
Have a great day ^^ :)
find the meassure of the missing angle
Step-by-step explanation:
Side A is 4
Side B is 6
Perimeter is 28
Complete each statement then state the property or properties illustrated by each statement on
Answer:
(8n)(-77)=-77(n*8)
We move all terms to the left:
(8n)(-77)-(-77(n*8))=0
We add all the numbers together, and all the variables
8n(-77)-(-77(+n*8))=0
We multiply parentheses
-616n-(-77(+n*8))=0
We calculate terms in parentheses: -(-77(+n*8)), so:
-77(+n*8)
We multiply parentheses
-616n
Back to the equation:
-(-616n)
We get rid of parentheses
-616n+616n=0
We add all the numbers together, and all the variables
=0
n=0/1
n=0
the property is Associative Property
Step-by-step explanation:
this one was kinda hard pls let me know it its right or not
Write an equation in slope-intercept form of a line that has a slope of -2/3 and a y-intercept of 6.
respondo por qué el juego me lo diste 2+24
Answer:
y = -2/3x + 6Step-by-step explanation:
Equation in slope-intercept form:
y = mx + bSubstitute values:
y = -2/3x + 6what is the derivative of 5(x+2)
Answer:
5
Step-by-step explanation:
d(5(x+2))/dx
d(5x+10)/dx
d(5x)/dx + d(10)/dx
5+0
5
find c and round to the nearest tenth
Answer:
Step-by-step explanation:
<C = ?
a = 22
b = 20
c = 18
Formula
c^2 = a^2 + b^2 - 2*a*b* cos(C)
Solution
18^2 = 22^2 + 20^2 - 2*22*20*cos(C)
324 = 484 + 400 - 880*cos(C)
324 = 884 - 880*Cos(C)
-560 = - 880 * cos(C)
-560 / - 880 = cos(C)
0.63636 = cos(C)
C = cos-1(0.63636)
C =50.48
Answer:
20
Step-by-step explanation:
Pl help it’s for a grade
Answer:
A
Step-by-step explanation:
Answer:
23 m, South
Step-by-step explanation: He traveled 25 m north then he went 48 m south so that means you would have to subtract 25 from 48 to get 23 m, south
Are there any vertical, complimentary, or any supplementary angles here ? And label for ex. 1 supplementary
Supplementary: 1 and 2 & 3 and 4
Supplementary angles: A pair of angles whose sum is equal to 180°.
Vertical: 1 and 3 & 2 and 4
Vertical angles: A pair of opposite angles that are made by two intersecting lines.
Complimentary: None
Complimentary angles: A pair of angles whose sum is equal to 90°.
Hope this helps! :D
PLEASE HELP!!! WILL GIVE BRAINLIEST!!!
Instructions
Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.
Complete the following. Show all work for calculations.
List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length: 6 inches
Width: 2 and a half inches
Height: 12 inches (1 foot)
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of 1/10?
Answer:
I chose a box of cereal-------> rectangular prism
see the attached figure
Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length: 20 cm
Width: 8 cm
Height: 32 cm
Part 2).
Describe the shape of the cross-section when the box is cut parallel to the base
the shape of the cross-section would be a rectangle of dimensions
20 cm x 8 cm
Part 3)
What is the surface area of the box?
surface area=2*area of the base+perimeter of the base*height
area of the base=20*8=160 cm²
perimeter of the base=2*[20+8]-----> 56 cm
height=32 cm
surface area=2*160+56*32------> 2,112 cm²
the answer part 3) is
2,112 cm²
Part 4)
What is the surface area of the box if it is scaled up by a factor of 10?
we know that
surface area of the larger box=[scale factor]²*surface area original box
scale factor=10
surface area original box=2,112 cm²
so
surface area of the larger box=10²*2,112-----> 211,200 cm²
the answer part 4) is
211,200 cm²
Part 5)
What is the volume of the box?
volume of the box=L*W*H-----> 20*8*32------> 5,120 cm³
the answer Part 5) is
5,120 cm³
Part 6)
What is the volume of the box if it is scaled down by a factor of 1/10
we know that
volume of the smaller box=[scale factor]³*volume original box
scale factor=1/10
volume original box=5,120 cm³
so
volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³
the answer part 6) is
5.12 cm³
Step-by-step explanation:
Answer:
541/2 square
Step-by-step explanation:
we know that
the volume of the smaller box=[scale factor]³*volume original box
scale factor=1/10
volume original box=5,120 cm³
so
volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³
the answer part 6) is 541/2 square
find the value of x.
Answer:
x = 120 degress
Step-by-step explanation:
I can help with more, I have the answers.
Nolan is 11
4
5
years old. Jillian is 1
1
6
years older than Nolan and Jane is 1
1
3
years older than Jillian. How old is Jane?
Answer:
Jane is 13.
Step-by-step explanation:
Nolan is 11
Jillian is 12 because Jillian is 1 year older than Nolan.
Jane is one year older than Jillian. Which leads to the statement that Jane is 13 years old.
A checking-account balance is no more than $500. find the
inequality
Answer:
x <= 500
Step-by-step explanation:
x (how much money) is less than, or equal to $500.
Use the office to approximate the number in the sample
where's the sample?
lol
How many cups of yogurt would 5 people get if they equally shared 3/4 cups of yougurt
Complete the statement describing the solution set to this compound inequality.
Complete the statement describing the solution set to this compound inequality. 3 − 2x ≥ 11 or x + 6 > 14
The solution set includes all values of x that are ___ or ___
a. no more than -4
b. no more than -7
c. at least -7
d. at least -4
a. less than 8
b. less than 20
c. greater than 20
d. greater than 8
Answer:
I believe it is D. at least -4 and also D. greater than 8
Step-by-step explanation:
The solution set includes all values of x that are a. no more than -4 or d. greater than 8.
What is a linear inequality ?Comparing linear expressions which are non equal by inequity signs.
According to the given data.
Complete the statement describing the solution set to this compound inequality 3 − 2x ≥ 11 or x + 6 > 14.
For 3 - 2x ≥ 11
3 - 2x ≥ 11
- 2x ≥ 11 - 3
-2x ≥ 8
- x ≥ 4
Now make x positive by moving it to the other side and this also switches the inequality.
∴ x ≤ - 4.
For x + 6 > 14
x + 6 > 14
x > 14 - 6
x > 8.
So we have two value of x one is less than or equal to -4 and the other is greater than 8.
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Help me plsssssssssssssssssssssss
Vaughn threw the shot put 9 yards at a track meet. The official used a tape measure to measure the distance in feet. How many feet did he throw the shot put?
Answer:
27 feet
Step-by-step explanation:
There are 3 feet in 1 yard. 9×3=27
Find the value of x. I WILL GIVE 100 POINTS ANSWER QUICK!
Answer:0.714 not sure exactly if i need to simplify, mullitiply, or divide.
Step-by-step explanation:
What is 285 - 15?
17
28
19
21
Please help quickly thanks
Answer:
19
Step-by-step explanation:
please help me thank you
Answer: the fully simplified version would be 8/x^5y^4
What equivalent ratio to 5:15?
Answer:
10 : 30
Step-by-step explanation:
Answer:
10:30
----------------------
Sarah is going to invest $8,600 and leave it in an account for 16 years. Assuming the
interest is compounded annually, what interest rate, to the nearest tenth of a percent,
would be required in order for Sarah to end up with $18,500?
Answer:
4.9%
Step-by-step explanation:
Solve 5x + 34 = –2 + 7x for x.
Question 14 options:
A)
x = 12
B)
x = 18
C)
x = –16
D)
x = –24
Answer:
x = 18
Step-by-step explanation:
[tex]simplify \sqrt{21 - 20i} [/tex]
Answer:
o. k this is a required answere