A percentage is a way to describe a part of a whole. The total number of females in the sample are 400.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that In a sample of 500 respondents, men account for 20% of all observations in the sample. Therefore, if we deduct the number of male from the total number of respondents, then we can get the total number of women.
Now, the total number of females in the sample are:
Total number of females in the sample
= Total number of respondents - Total number of males in the sample
= 500 - 20% of total respondents
= 500 - 20% of 500
= 500 - 0.20(500)
= 500 - 100
= 400
Hence, the total number of females in the sample are 400.
Learn more about Percentages here:
https://brainly.com/question/6972121
#SPJ2
Priya creates a scatter plot showing the relationship between the number of steps she takes and her heart rate. The correlation coefficient of the line of best fit is 0.88.
1. Are they correlated? Explain your reasoning.
2. Does either of the variables cause the other to change? Explain your reasoning.
Answer:
Positive correlation exists ;
Number of Steps taken will cause heart rate to increase.
Step-by-step explanation:
Correlation refers to the relationship which exists which exists between two variables. It shows how an increase in one variable affects the other variable. Variables are divided into independent and dependent variables. Correlation may either be positive, negative or non - existent.
Given the correlation Coefficient of 0.88 between heart rate and number of steps taken, the R value being close to 1 depicts a strong positive relationship or correlation.
Correlation between number of steps taken and heart rate.
Yes, The number of steps taken will cause the hear rate to increase. Hence, the dependent variable is is heart rate and it depends on the number of steps taken (independent variable).
1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.
2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.
What is Correlation Coefficient?A correlation coefficient shows how corelated two variables are.Correlation coefficient ranges from -1 to 1.The closer the correlation coefficient is to -1 or 1, the stronger the correlation between two variables.1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.
2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.
Learn more about correlation coefficient on:
https://brainly.com/question/4219149
Shen invested in a savings bond for 2 years and was paid simple interest at an annual rate of 2% the total interest that he earned was $28 how much did he invest 
Answer:
Principal = $700
Step-by-step explanation:
Simple interest = principal × rate × time
Simple interest = $28
Rate = 2% = 0.02
Time = 2 years
Principal = x
Simple interest = principal × rate × time
28 = x * 0.02 * 2
28 = 0.04x
x = 28/0.04
x = $700
Principal = x = $700
please help meeeeeee
Find the value of x in the diagram. Explain how you found the answer.
Answer:
x = 65
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
subtract the sum of the 2 given angles from 180° for third angle
third angle = 180° - (60 + 55)° = 180° - 115° = 65°
65° and x are vertical angles and are congruent, thus
x = 65
Answer:
x = 65 degrees
Step-by-step explanation:
Three angles are marked with their values: 55 and 60 degrees. Thus, the third interior angle of the left triangle (unmarked) is 180 degrees - (115) degrees = 65 degrees.
This 65 degree angle and x are vertical angles. Thus, x = 65 degrees. This plus y form a straight angle, so y = 180 degrees - 65 degrees = 115 degrees.
Line segment GH has endpoints at G(4,-8) and (-2,6). What is the midpoint of the line segment GH
Answer:
(1,-1)
Step-by-step explanation:
Find the middle between the two points:
4 to -2=6, so the middle would be 3
4-3=1
-8 to 6=14, so the middle would be 7
-8+7=-1
Answer:
[tex]\displaystyle (1,-1)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point G(4, -8)
Point H(-2, 6)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [Midpoint Formula]: [tex]\displaystyle (\frac{4-2}{2},\frac{-8+6}{2})[/tex][Fraction] Subtract/Add: [tex]\displaystyle (\frac{2}{2},\frac{-2}{2})[/tex][Fraction] Divide: [tex]\displaystyle (1,-1)[/tex]Tamia watched 1 2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Tamia watch at
Answer: Tamiya watched [tex]\dfrac16[/tex] of the movie at night.
Step-by-step explanation:
Let x = part of movie watched at night.
Given : Tanya watched [tex]\dfrac12[/tex] of movie in the morning.
Part left to watch = [tex]\dfrac13[/tex]
As per given, we have
[tex]\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16[/tex]
Hence, Tamiya watched [tex]\dfrac16[/tex] of the movie at night.
Which equation represents the line that is parallel to y=5/2x+31 and passes through (-10,30)?
Answer:
Line parallel would mean having the same gradient of 5/2 hence it’s either option C or D. Sub in the coordinates into y= 5/2x + c to get c= 55 hence the answer is D
Step-by-step explanation:
which of theses three numbers is the largest 4.187 or 4.2 or 4.099
The diameter of a circle is 54 cm. Calculate the circumference of the circle.
Given that rectangle MNOP ~ rectangle STUV, what is the length of ¯¯¯¯¯¯ T U ?Rectangle M N O P is shown with segment N O labeled 10 and segment O P labeled 4. rectangle S T U V is shown with segment T U labeled x and segment U V labeled 6
Answer:
[tex]TU = 15[/tex]
Step-by-step explanation:
Given
[tex]\square MNOP \simeq\ \square STUV[/tex]
[tex]NO = 10[/tex]
[tex]OP = 4[/tex]
[tex]TU = x[/tex]
[tex]UV = 6[/tex]
Required
Determine the length of TU (i.e. x)
Because both shapes are similar, then the following equivalent ratios exist:
[tex]NO : OP = TU : UV[/tex]
Substitute values for NO, OP, TU and UV
[tex]10 : 4 = x : 6[/tex]
Represent as fraction
[tex]\frac{10 }{ 4 } = \frac{x }{ 6}[/tex]
Multiply both sides by 6
[tex]6 * \frac{10 }{ 4 } = \frac{x }{ 6} * 6[/tex]
[tex]6 * \frac{10 }{ 4 } = x[/tex]
[tex]x = 6 * \frac{10 }{ 4 }[/tex]
[tex]x = \frac{60 }{ 4 }[/tex]
[tex]x = 15[/tex]
Hence:
[tex]TU = 15[/tex]
Help i need help i will mark you as brainiest if your answer is right
Answer:
free points :)
Step-by-step explanation:
5. ¿Cuál es la expresión algebraica que representa el área de la siguiente figura?
A) 5x + 15
B) 5x + 3
C) 5 + 3x
D) 5x – 15
This figure shows the dimensions of a right triangular prism.
What is the volume of the right triangular prism in cubic
centimeters?
160 cm3
240 cm3
960 cm3
1920 cm3
PLEASE HELP ILL
GIVE BRAINLIEST
Answer:
960
Step-by-step explanation:
Boom! If I get this wrong I am bad.... :(
Answer:
960
Step-by-step explanation:
I took the test look
The total cost of making a daily taco special for a restaurant is represented by the function C(t)=2.5t+1, where t is the number of tacos made. How does the total cost change for every taco special the food truck makes? a: $1 b: $2.50 c: -$1 d: -$2.50
Given:
The total cost of making a daily taco special for a restaurant is represented by the function
[tex]C(t)=2.5t+1[/tex]
Where t is the number of tacos made.
To find:
The total cost change for every taco special the food truck makes.
Solution:
We have,
[tex]C(t)=2.5t+1[/tex]
Here, 1 is a constant because it is free from the variable and 2.5 is the coefficient of t.
It means, 1 represents fixed cost of making tacos but 2.5t changes with respect to t. Thus, 2.5 represents the addition cost of every taco special the food truck makes.
So, $2.5 is the total cost change for every taco special the food truck makes.
Therefore, the correct option is b.
Find the slope of the line.
a.-7
b.7
c.-1
d.1
Answer:
(-1)
Since it is a downward slope with two equalized points x=7 and y=7. The slope is m = -1.
Answer:
d.1
Step-by-step explanation:
For this question, use change in y value from one point to another over change in x value from one point to another.
Two equations that would have a solution of (3,6)
Answer:
[tex]1) y=2x\\2) y=x+3[/tex]
Step-by-step explanation:
[tex]1) y=2x\\2) y=x+3[/tex]
Hope I helped!
Check out my profile for more answers!
25.5125 como lo conmvierto a sexigesimal
25.5125 = 25 + 5125 / 10⁴ = 25 + 41 / 80
(41 / 80) / 60⁻¹ = 2460 / 80 = 123 / 4 = 30.75
30.75 = 30 + 75 / 10² = 30 + 3 / 4
(3 / 4) / 60⁻² = 180 / 4 = 45
→ 25.5125₁₀ = [25].[30][45]₆₀
HELP ASAP DUE SOON!!
Answer:
I think the answer is B.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Dividing by 1/2 is the same as multiplying by what number
Answer:
0.5
Step-by-step explanation:
HELP PLS THE QUESTION IS ALL IN THE PHOTO THE LENGTH OF A FOOTBALL IS 11 INCHES
A laptop computer is normally $1300 but is discounted to $988. What percent of the original price does Charles pay?
Answer:
Step-by-step explanation:
Your answer
24% discount.
Pays a total of 76 % cost
Mark it as Brainlist. Follow me for more answer.
Determine if the following equation is true or false. (a^9)^1/ a^4 = a^8 x a^1/ a^4
Answer:
True
Step-by-step explanation:
[tex]\frac{a^9}{a^4} = a^8 . \frac{a^1}{a^4}[/tex]
[tex]a^8 . a^1 = a^9[/tex]
[tex]\frac{a^9}{a^4} = \frac{a^9}{a^4}[/tex]
a farmer is creating a budget for planting soybeans and wheat. planting soybeans costs $200 per acre and planting wheat costs $500 per acre. He wants to spend no more that $100,000 planting soybeans and wheat. Write an inequality to describe the constraints. specify what each variable represents
The inequality that represents the constraint is as follows;
200x + 500y ≤ 100000
How to solve inequality?The inequality to describe the constraints is as follows;
Therefore,
let
x = acre of land use to plant soya beans
y = acre of land use to plant wheat
Therefore,
200x + 500y ≤ 100000
Hence, the inequality that represents the constraint is as follows;
200x + 500y ≤ 100000
learn more on inequality here: https://brainly.com/question/13996579
#SPJ1
Answer:
200x + 500y ≤ 100000
Step-by-step explanation:
Given ,
The cost of planting soybeans is $ 200 per acre
The cost of planting wheat is $ 500 per acre
The maximum amount he can spend for planting is $ 100,000
Let's assume
x = acre of land use to plant soya beans
y = acre of land use to plant wheat
We know that ,
If 'a' is the cost spend on unit item and 'b' is the number of items the total cost will be a * b
So the total amount spend for planting will be,
200x + 500y
As the amount spend cannot exceed a maximum of $ 100,000 ,
200x + 500y should be less than or equal to 100,000
Therefore we can mathematically represent it using the inequality ≤ as,
200x + 500y ≤ 100000
Hence, the inequality that represents the constraint is as follows;
200x + 500y ≤ 100000
learn more on inequality here: brainly.com/question/13996579
#SPJ1
help me plzz im almost. out of time
Kevin can travel LaTeX: 22\frac{1}{2}\:22 1 2miles in LaTeX: \frac{1}{3}\:1 3hour. What is his average speed in miles per hour? Group of answer choices
Answer:
67.5 mile per hour
Step-by-step explanation:
Kevin can travel LaTeX: 22\frac{1}{2}\:22 1 2miles in LaTeX: \frac{1}{3}\:1 3hour. What is his average speed in miles per hour? Group of answer choices
Speed = Distance /Time
Speed = 22 1/2 miles ÷ 1/3 hour
= 45/2 ÷ 1/3
= 45/2 × 3/1
= 67.5 mile per hour
AB, CD and EF are straight lines.
AB is parallel to CD.
work out the size of angle y.
Answer:
y = 108°
Step-by-step explanation:
Since, line AB is parallel to line CD,
By the definition of corresponding angles,
m∠FPB = m∠FQD
(2x + 16)° = (3x - 12)°
3x - 2x = 16 + 12
x = 28
(3x - 12) = 3(28) - 12
= 72°
m∠FQD + m∠EQD = 180° [Linear pair of angles]
72° + y = 180°
y = 180 - 72
y = 108°
The sum of 67,42 and (6x-1) is 180 what is the value of x?
Answer:
180 - 109 = 6x-1
6x - 1 = 71
6x = 72
x = 12
Step-by-step explanation:
The cost of a set of DVDs after a 25% markup can be represented by the expression c+0.25c . Simplify the expression.
Answer: 1.25c
Step-by-step explanation:
The original cost of the DVDs is given as c.
The cost of the DVDs after a 25% markup is: c + 0.25c to show that 25% of c was being added to c to increase the price.
As both numbers in the equation have the same variable attached, they can be added. c is assumed to be 1c when it stands alone.
= c + 0.25c
= 1c + 0.25c
= 1.25c
i need help with question 7
Find IK
Answer:
A. 46
Step-by-step explanation:
because IJ is 46 also and there both the same size.
Plz help ill give u brainliest!
Answer:
4320
Step-by-step explanation:
Multiply 18000 by 6 then multiply it by 0.04 and you get 4320
IT IS AAAAAAAAAAAAAA
$18,000x6 then divide by .40
So it should be d!
. Help quick. My computer is crashing quickkkkkkkk
Answer:
a) 80.35m^2
b)2 and 18
C)4.8
D)200% of 7=14
7 decreased by 200=-7
Step-by-step explanation: