If 210 people said football was their favorite sport to watch, how many people were surveyed?
Without additional data, such as the percentage of those surveyed who chose football, it's impossible to determine the total number of people surveyed from the information provided. The data given only specifies that 210 individuals selected football as their favored sport to watch.
Explanation:Based on the provided question, there's not enough information to determine the total number of people who were surveyed. The information given only states that 210 people picked football as their favorite sport to watch, but it does not provide the overall total number of people surveyed.
To calculate the total number of respondents, you need to know the ratio or percentage of people who chose football. For example, if you knew that football was chosen by 70% of those surveyed, you could use that information to calculate the total number of people. In this case, the equation would be 210 = 0.70 * x. Solving for x (the total number of people surveyed) would give you x = 210 / 0.70, which comes out to approximately 300 people.
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How to subtract 546 from 735
bryan rides the bus to and from work on the days he works at the library in one month he rode the bus 24 times solve the equation 2x=24 to find the number of days bryan worked at the library
Which values of P and Q result in an equation with exactly one solution? Qx-6=Px-103
Answer:
For any value of P & Q except when both are equal , we get One solution of equation.
Step-by-step explanation:
Given: Linear Equation, Qx - 6 = Px - 103
This equation has exactly 1 solution.
To find: Value of P and Q
First we solve the linear equation for value of x,
Qx - 6 = Px - 103
Transpose Px to LHS ( Left hand side ) we get,
Qx - Px - 6 = -103
Transpose 6 to RHS ( Right hand side ) we get,
Qx - Px = -103 + 6
Qx - Px = -97
taking x common in LHS, we get
( Q - P ) x = -97
Traspose ( Q - P ) to RHS, we get
[tex]x=\frac{-97}{Q-P}[/tex]
[tex]x=\frac{-97}{-(P-Q)}[/tex]
[tex]x=\frac{97}{P-Q}[/tex]
Thus, we are get only 1 value of x but it exist if P ≠ Q
otherwise no solution exist for the given linear Equation.
Therefore, For any value of P & Q except when both are equal , we get One solution of equation.
(4,7), (x,19); slope = 3 the pair points lies on the same line with the given slope. Find x
what is the slope of the line that goes through (0,0) (5,1)
Let
[tex]A(0,0)\\B(5,1)[/tex]
we know that
the formula to calculate the slope between two points is equal to
[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]
Substitute the values in the formula
[tex]m=\frac{(1-0)}{(5-0)}[/tex]
[tex]m=\frac{1}{5}[/tex]
therefore
the answer is the option b
the slope is equal to [tex]\frac{1}{5}[/tex]
Suppose the first class in a frequency table of quantitative data is 0 dash 40-4 and the second class is 5 dash 95-9. what is the class midpoint of the first class?
Answer:
4 + 0 = 4/2 = 2 would be the answer.
Step-by-step explanation:
(1 pt) find the coordinates of the point (x, y, z) on the plane z = 3 x + 4 y + 4 which is closest to the origin.
The solution to the problem involves setting up and solving a system of equations derived from the distance function in 3D. The minimum point of the distance function corresponds to the point in the plane that's closest to the origin.
Explanation:
To find the coordinates of the point (x, y, z) on the plane z = 3x + 4y + 4 which is closest to the origin, we need to find the minimum distance from origin (0,0,0) to any point on the plane. The distance equation is given by √[(x₂−x₁)²+(y₂−y₁)²+(z₂−z₁)²]. This is simply Euclidean distance in 3D.
In this case, we can define the distance function d = √(x² + y²+ (3x + 4y + 4)²). To find the minimum distance, we take the derivative of this distance function with respect to both x and y, set them to 0, and solve the resulting equations. The solutions to these equations yield x and y. We substitute x and y into z = 3x + 4y + 4 to get z.
Finally, solving these equations we obtain the coordinates of the point (x, y, z) on the plane that is closest to the origin.
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Answer:
(-6/13, -8/13, 2/13)
Step-by-step explanation:
You want the point on the plane z = 3x +4y +4 that is closest to the origin.
Normal vectorWhen the plane equation is written in standard form, the variable coefficients comprise a vector that is normal to the plane. The line normal to the plane and passing through the origin can be written in terms of this vector. Solving for the variable in that equation lets us find the point on the plane where the line intersects.
The standard form equation for the plane is ...
3x +4y -z = -4 . . . . . . . subtract 4+z from the given equation
Then the normal to the plane is ...
N = (3, 4, -1)
and the vector equation of the line through the origin is ...
L = (0, 0, 0) +tN = (3t, 4t, -t)
Point of intersectionThe value of t that makes a point on the line satisfy the plane equation is ...
3(3t) +4(4t) -(-t) = -4
26t = -4
t = -4/26 = -2/13
Then the point tN is ...
(-2/13)(3, 4, -1) = (-6/13, -8/13, 2/13)
The point on the plane closest to the origin is (-6/13, -8/13, 2/13).
Marla says that every number in nineties is composite. Jackie says that one number in the nineties is prime. Who is correct?
Answer:
Jackie, 91, 97 is prime.
Step-by-step explanation:
Remember that a number greater than 2 is NOT prime if it is divided by any number different than 1, for example 6 is NOT prime because 3 divides 6. 7 is prime because the only divisors of 7 are 1 and 7.
So for the nineties 90 is divisible by 45.
91 is divisible by 7
92 is divisible by 2
93 is divisible by 3
94 is divisible by 2
95 is divisible by 5
96 is divisible by 2
97 IS PRIME, is just divisible by 1 and 97
98 is divisible by 2
99 is divisible by 3
What is...a increased by 25%
Answer:
1..25a
Step-by-step explanation:
a + 25%·a = a(1 + 0.25) = 1.25a
_____
Comment on percentages
The symbol "%" is a shorthand way to write "/100", so 25% = 25/100 = 0.25.
Of course, 100/100 = 100% = 1.
Adding 25% of something to 100% of it gives 125% of it, the original amount multiplied by 125/100 = 1.25.
Answer:
1.25a
Step-by-step explanation:
a + 25%·a = a(1 + 0.25) = 1.25a
_____
Comment on percentages
The symbol "%" is a shorthand way to write "/100", so 25% = 25/100 = 0.25.
Of course, 100/100 = 100% = 1.
Adding 25% of something to 100% of it gives 125% of it, the original amount multiplied by 125/100 = 1.25.
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Several shapes are cut out of a piece of cardboard. Two squares of length x, five rectangles of length x and width y and two circles with radius z. The two squares and four of the rectangles are glued together to form a prism, and the two circles and the remaining rectangle are used to form a cylinder with height y. Which represents the combined volume of the two figures?
SSA triangle problems may have zero, one, or two solutions, true of false?
Answer:
True.
Step-by-step explanation:
We use law of sine to solve the triangle when two sides and angle (SSA) is given.There are different cases possible .
1) If a < b sin A.
In this case No possible triangles or we can say there will be zero solutions.
2) If a > b sin A.
In this case there are Two triangles possible.In such cases at least one of the solutions will be an obtuse triangle.
3) If a = b sin A.
We have Unique solution or one solution.This is true for a right triangle.
Hence the given statement SSA triangle problems may have zero, one, or two solutions is True.
Answer: true
Step-by-step explanation:
Ap3x
Can someone help me? Please show your work.
If a pizza is cut into 8 pieces and 3 children each eat one piece, what fraction of the pizza is gone
write always, sometimes or never,a conjecture is _____ true
Janice really likes potatoes. potatoes cost $0.50 per pound, and she has $5.00 that she could possibly spend on potatoes or other items. suppose she feels that the first pound of potatoes is worth $1.50, the second pound is worth $1.14, the third pound is worth $1.05, and all subsequent pounds are worth $0.30. instructions: enter your answers as whole numbers.
a. how many pounds of potatoes will she purchase?
b. what if she only had $3.00 to spend?
Janice will purchase 4 pounds of potatoes if she has $5.00. If she only has $3.00 to spend, she will purchase 3 pounds of potatoes.
Explanation:To determine how many pounds of potatoes Janice will purchase, we need to subtract the cost of each pound of potatoes from her total budget until she no longer has enough money to purchase another pound. Let's go step by step:
Janice has $5.00 and the first pound of potatoes costs $1.50. After purchasing the first pound, she will have $5.00 - $1.50 = $3.50 left.
The second pound of potatoes costs $1.14, so she can buy the second pound and have $3.50 - $1.14 = $2.36 left.The third pound costs $1.05, so she can buy it and have $2.36 - $1.05 = $1.31 left.The fourth pound and any subsequent pounds cost $0.30 each. Since Janice has $1.31 left, she can afford $1.31 / $0.30 ≈ 4.37 pounds of potatoes.Therefore, Janice will purchase 4 pounds of potatoes.
If Janice only has $3.00 to spend, we can follow the same steps:
With $3.00, she can afford $3.00 / $0.30 = 10 pounds of potatoes. However, since the value of each pound decreases after the third pound, she can only purchase the first three pounds. The fourth pound would cost $0.30, but she doesn't have enough money left.Therefore, if Janice has $3.00 to spend, she will purchase 3 pounds of potatoes.
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Find the product
54.88 x 7.3
Manuel worked 5 days a week, and 6 hours each day. That week he earned $337.50. What was his hourly rate of pay?
Manuel's hourly rate of pay is calculated by dividing his total weekly earnings by the total hours he worked. He worked a total of 30 hours and earned $337.50, resulting in an hourly rate of $11.25.
The question asks us to calculate Manuel's hourly rate of pay based on the total amount he earned in a week and the number of hours he worked. To find the hourly rate, we need to divide the total earnings by the total number of hours worked.
Calculate the total number of hours worked in a week: 5 days a week times 6 hours each day equals 30 hours.
Divide Manuel's total earnings for the week by the total hours worked:
$337.50 divided by 30 hours equals an hourly rate of $11.25.
Given: C is a point on the perpendicular bisector, l, of AB.
Prove: AC = BC
Use the drop-down menus to complete the proof. By the unique line postulate, you can draw only one segment, BC. Using the definition of reflection, reflect BC over l. By the definition of reflection, C is the image of itself and A is the image of B. Since reflections preserve length, AC = BC.
Garys unpaid credit card balance is $2543.32. His APR is 17.4% qnd he made ine new transaction for $320 whats his new balance
Brook says there are 49 days until july 4 there are 7 days in a week in how many weeks will it be until july 4
7 weeks until July 4.
Calculating the Number of Weeks Until July 4
To determine in how many weeks it will be until July 4, given that there are 49 days left:
We know there are 7 days in a week.
We need to divide the total number of days by the number of days in a week.
The calculation is: 49 days ÷ 7 days/week.
Doing the division: 49 ÷ 7 = 7 weeks.
Which equations represent hyperbolas?
Answer:
The correct options are 2 and 5.
Step-by-step explanation:
The general form of conics is
[tex]Ax^2+Bxy+Cy^2+Dx+Ey+F=0[/tex]
This equation represents the hyperbola if
[tex]B^2-4AC>0[/tex]
compare the given equations with the general equation.
In option 1,
[tex]A=2,B=0,C=2,D=16,E=14,F=-9[/tex]
[tex]B^2-4AC=(0)^2-4(2)(2)=-16<0[/tex]
This equation does not represents a hyperbola.
In option 2,
[tex]A=2,B=0,C=-5,D=4,E=-10,F=57[/tex]
[tex]B^2-4AC=(0)^2-4(2)(-5)=40>0[/tex]
This equation represents a hyperbola.
In option 3,
[tex]A=-1,B=0,C=-7,D=5,E=2,F=-81[/tex]
[tex]B^2-4AC=(0)^2-4(-1)(-7)=-28<0[/tex]
This equation does not represents a hyperbola.
In option 4,
[tex]A=0,B=0,C=-2,D=1,E=4,F=15[/tex]
[tex]B^2-4AC=(0)^2-4(0)(-2)=0[/tex]
This equation does not represents a hyperbola.
In option 5,
[tex]A=-1,B=0,C=3,D=12,E=7,F=11[/tex]
[tex]B^2-4AC=(0)^2-4(-1)(3)=12>0[/tex]
This equation represents a hyperbola.
Therefore the correct options are 2 and 5.
How many halves are in the following
12, 10, 13, 15,8 and 5
In a right triangle, cosA=0.352 and sinA=0.936 What is the approximate value of tanA?
A- 0.329
B- 0.376
C-1.288
D-2.659
Answer:
tanA=2.6591
Step-by-step explanation:
[tex]tanA=\dfrac{sinA}{cosA} \\\\tanA=\dfrac{0.936}{0.352} \\\\tanA=2.6591[/tex]
A mutual fund has total assets of 2.4 million dollars and 300,000 shares. What is the net asset value of one share of the fund? a. $0.08 b. $0.80 c. $8.00 d. $80.00
Answer:
Net assest value of one share is $8 .
Option (c) is correct .
Step-by-step explanation:
As given
A mutual fund has total assets of 2.4 million dollars and 300,000 shares.
As 1 million = 1000000
Total assest value = $2.4 × 1000000
Thus
[tex]Net\ asset\ value\ of\ one\ share = \frac{2.4\times 1000000}{300000}[/tex]
Put all the values in the above
[tex]Net\ asset\ value\ of\ one\ share = \frac{24\times 1000000}{300000\times 10}[/tex]
[tex]Net\ asset\ value\ of\ one\ share = \frac{24}{3}[/tex]
Net asset value of one share = $8 .
Therefore net assest value of one share is $8 .
Option (c) is correct .
Find the area of A circle whose diameter is 8.3m round to the nearest tenth
Answer:
the answer is 54.1
If n is a term of the sequence 2, 5, 8, 11, ..., which expression would give the value of n?
Calculate the noon sun angles for new orleans, usa and helsinki, finland on september 22. in the answer below, new orleans answer is listed first. refer to the notes on how to calculate noon sun angles. 36.5 degrees, 6.5 degrees 60 degrees, 30 degrees 83.5 degrees 53.5 degrees
Answer:
60 degrees, 30 degrees
Explanation:
Sun angle = 90° - Zenith angle
On September 22, the sun passes over celestial equator. Equinox occurs.
Zenith Angle = Latitude of the place
Latitude of New Orleans, US = 29.95° ≈ 30°
Latitude of Helsinki, Finland = 60.95° ≈ 60°
Thus, the Sun angle at noon at New Orleans would be 90° - 30° = 60°
and at Helsinki, Finland would be 90° - 60° = 30°
550 is 5% of what number?
27.5 if you divide 550by 5% you get 27.5
How do you solve
6(3b + 5) = 2(6b - 21) and
10y - 4 = 2(5y - 2)?