Answer:
-5
Step-by-step explanation:
The equation is in slope intercept form,
y = mx+b
where m is the slope and b is the y intercept.
y = -4x-5
The slope is -4 and the y intercept is -5.
A company prices its tornado insurance using the following assumptions:
• In any calendar year, there can be at most one tornado.
• In any calendar year, the probability of a tornado is 0.08.
• The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year.
Using the company's assumptions, calculate the probability that there are fewer than 2 tornadoes in a 22-year period.
The probability that there are fewer than 2 tornadoes in a 22-year period is, 0.214
What is probability?Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.
Probability of Event = Favorable Outcomes/Total Outcomes = X/n
Since the probability of a tornado in any given year is 0.08,
the probability of no tornado in any given year is;:
= 1 - 0.08
= 0.92.
Let X be the number of tornadoes in a 22-year period.
X follows a binomial distribution with n = 22 and p = 0.08.
We want to calculate the probability that there are fewer than 2 tornadoes in a 22-year period.
This can be written as:
P(X < 2) = P(X = 0) + P(X = 1)
Using the binomial probability formula, we can calculate:
P(X = 0) = (22 choose 0) x (0.08)⁰ x (0.92)²² ≈ 0.038
P(X = 1) = (22 choose 1) x (0.08)¹ x (0.92)²¹ ≈ 0.176
Therefore,
P(X < 2) = P(X = 0) + P(X = 1) ≈ 0.214
So the probability that there are fewer than 2 tornadoes in a 22-year period is approximately 0.214 or 21.4%.
To know more about Probability check:
https://brainly.com/question/30034780
#SPJ9
What is the percentage, to the nearest tenth, of 29-year olds with some degree of heart disease?
The function P(x)= 120/1+372e^-0.133x models the percentage, P(x), of Americans who are x years old and have some degree of heart disease.
To the nearest tenth, 13.55% of people aged 29 have some form of cardiac disease.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
The function for the estimation of the percentage of heart disease is,
[tex]P =\dfrac{ 120}{1+372e^{-0.133x}}[/tex]
The percentage will be calculated as:-
[tex]P =\dfrac{ 120}{1+372e^{-0.133x}}[/tex]
[tex]P =\dfrac{ 120}{1+372e^{-0.133\times 29}}[/tex]
P= 120 / ( 1 +7.85)
P = 13.55%
Therefore, 13.55% of adults aged 29 have a heart condition, to the closest tenth.
To know more about expression follow
https://brainly.com/question/29010443
#SPJ1
Suppose a turtle walks 3/8 of a mile in 50 minutes what is the unit rate
Answer:
3/400 per min
Explanation:
Divide the rate at which he can walk by the number how mins he can walk at that rate
Selina claims single having one exemption. Her state tax deduction is 21% of her federal tax contribution. Calculate the amount of state tax selina owes if her gross pay for two weeks is $840. The following federal tax table is for biweekly earnings of a single person. A. $16. 17 b. $16. 80 c. $32. 34 d. $33. 60 please select the best answer from the choices provided a b c d.
The amount of federal state tax Selina owes if her gross pay for two weeks is $840 is $14.11, which is closest to option A: $16.17. so the best answer is A as it is the closest.
To calculate Selina's federal tax contribution, we first need to determine her taxable income. From her gross pay of $840, we can subtract the biweekly standard deduction for a single person, which is $191.15 (based on the federal tax table provided). This gives us a taxable income of $648.85.
Using the federal tax table for biweekly earnings of a single person, we can see that the federal tax on this amount is $67.25.
Selina's state tax deduction is 21% of her federal tax contribution, which is 0.21 x $67.25 = $14.11.
Therefore, the amount of state tax Selina owes is $14.11, which is closest to option A: $16.17. However, none of the given options match the calculated amount exactly, so the best answer is A as it is the closest.
To know more about federal state tax:
https://brainly.com/question/25763883
#SPJ4
If a rock is thrown upward on an exoplanet of a nearby star with initial velocity…..
the displacement is 23.14m and the velocity is 21.28m/s
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.
The given equation y = 25t - 1.86t²
at t = 1
So the displacement y = 25-1.86 = 23.14
to find velocity dy/dt = 25- 2(1.86)t
v = 25 - 3.72 = 21.28m/s
Hence the displacement is 23.14m and velocity is 21.28m/s
Learn more about quadratic equation, by the following link.
brainly.com/question/1214333
#SPJ1
A mother is five times as old as her daughter in six years. The mother will be three times as old as her daughter how old is each now.
Answer:
Step-by-step explanation:
12 x 3 =36
According to a 2009 Reader's Digest article, people throw away approximately 13% of what they buy
at the grocery store. Assume this is the true proportion and you plan to randomly survey 90 grocery
shoppers to investigate their behavior. What is the probability that the sample proportion exceeds
0.12?
Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations.
(Enter your answer as a number accurate to 4 decimal places.)
The probability that the sample proportion exceeds 0.12 is given as follows:
0.6103 = 61.03%.
How to obtain probabilities using the normal distribution?
The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].The parameters of the binomial distribution are given as follows:
n = 90, p = 0.13.
Hence the mean and the standard error are given as follows:
[tex]\mu = 0.13[/tex][tex]s = \sqrt{\frac{0.13(0.87)}{90}} = 0.0354[/tex]The probability that the sample proportion exceeds 0.12 is one subtracted by the p-value of Z when X = 0.12, hence:
Z = (0.12 - 0.13)/0.0354
Z = -0.28
Z = -0.28 has a p-value of 0.3897.
Hence:
1 - 0.3897 = 0.6103.
More can be learned about the normal distribution at https://brainly.com/question/25800303
#SPJ1
Write an equation in slope intercept form for the line that passes through the two given points.(-3,4) (3,2)
Answer:
y = -1/3 x + 3
Step-by-step explanation:
To find the equation of the line that passes through the two points (-3,4) and (3,2) in slope-intercept form, we'll first find the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the two given points.
Plugging in the given points, we get:
m = (2 - 4) / (3 - (-3)) = -2 / 6 = -1/3
Next, we'll use the point-slope form of a line to find the equation of the line:
y - y1 = m(x - x1)
where (x1, y1) is one of the given points, and m is the slope of the line.
We'll use the first given point, (-3,4), so we have:
y - 4 = -1/3 (x - (-3))
Expanding the right side of the equation, we get:
y - 4 = -1/3 x + 1
Finally, we'll rearrange the equation to get it in slope-intercept form, which is:
y = -1/3 x + b
where b is the y-intercept. To find b, we'll plug in one of the given points and solve for b:
y = -1/3 x + b
4 = -1/3 * (-3) + b
4 = 1 + b
b = 4 - 1
b = 3
So the equation of the line in slope-intercept form is:
y = -1/3 x + 3
A company that bottles mustard is allowed to advertise their bottle size as 21 ounces as long as the actual amount in the bottle is within 0.15 ounces of that amount. Which inequality shows all the possible actual bottle volumes (v) that the manufacturer would be able to advertise as 21 ounces?
Answer:
Step-by-step explanation:
the Answer is b
A quadratic function is shown on the graph
What is the range of the function?
The range is the set of all y-values used by the graph.
This graph's lowest y-value is 3 at the point (0,3).
The graph almost reaches as y-value of 12, but doesn't actually get there because of the closed circle at (-3,12).
The range is [3, 12) or { y | 3 ≤ y < 12}, depending on the notation needed.
the frame of a bike weighs16 pounds. each tire weighs 9 ounces. the seat weighs 12 ounces. the handlebars weigh 24 ounces. how punds does the bike weigh
19.375 pounds is the weight of bike.
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
Given that the frame of a bike weighs16 pounds.
each tire weighs 9 ounces.
In a bike there are 2 tires, so total weight of tires is 2×9=18 ounces.
The seat weighs 12 ounces
The handlebars weigh 24 ounces.
Convert the ounces to pounds.
We know that 1 pound=16 ounces
So The total number of weight in ounces is 18+12+24=54 ounces
Divide by 16 to convert 54 ounces to pounds
54/16=3.375
Now total weight=16+3.375 pounds
=19.375
Hence, 19.375 pounds is the weight of bike.
To learn more on Unit of Measurement click:
https://brainly.com/question/15402847
#SPJ9
Jack works as a waiter and is keeping track of the tips he earns daily. About how much does jack have to earn in tips on sunday if he wants to average $19 a day?.
Jack needs to make at least $95 in tips on Sunday to reach an average of $19 per day.
Average = (Sum of all values) / (Number of values)
Average = ($19) / (7 days)
Average = ($19) / (7)
Average = $2.71
Sunday = ($2.71) x (7)
Sunday = $19.00 + $76.00
Sunday = $95.00
Jack is working as a waiter and needs to keep track of his tips. He wants to make an average of $19 per day and needs to figure out how much he needs to make on Sunday. To calculate this, he needs to first figure out the average he wants to make per day. For this, he needs to divide the amount he wants to make daily ($19) by the number of days he is working (7). This gives him an average of $2.71 per day. To get to the amount he needs to make on Sunday, he needs to multiply this average by the number of days he is working, which is 7. This gives him an amount of $19.00 + $76.00, which equals $95.00. Thus, Jack needs to make at least $95 in tips on Sunday to reach an average of $19 per day.
Learn more about average here
https://brainly.com/question/24057012
#SPJ4
Please help question below
The required equation that Nandita used to make the given graph is y = -3x + 2. Option B is correct.
What is the intercept in the equation?In the equation intercept is the value of the linear function where either of the variables is zero.
Here,
From the graph, we need to identify the y-intercept and then match that intercept with each given in the options So,
From the graph, the y-intercept is ordered where the x coordinate of the pair is zero, So,
(0, y) = (0, 2)
Thus, the required equation among the option is y = -3x + 2.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ1
Find the limit…………………….
Answer:
[tex]\frac{1}{22}[/tex]
Step-by-step explanation:
Limits:For these time of limit problems, we want to try to rewrite the equation in such a way that we can get some value, because in this case plugging in x=121, we simply get 0/0 which is indeterminate.
One thing you may or may not notice is that 11 and 121 are closely related, as 121 is just the square of 11... something important to solving this.
We have the fraction: [tex]\sqrt{x}-11[/tex], we want to possibly rewrite this into the denominator (x-121) to cancel out the two... well we can use the difference of squares. [tex](\sqrt{x}-11)(\sqrt{x}+11)=x-121[/tex] and we want to multiply the bottom by this amount as well, giving us the fraction:
[tex]\frac{x-121}{(x-121)(\sqrt{x}+11}[/tex]
Now we can cancel out the x-121 from the numerator and denominator, leaving us with:
[tex]\frac{1}{\sqrt{x}+11}[/tex]
and now we can directly plug in 121
[tex]\frac{1}{\sqrt{121}+11}=\frac{1}{11+11}=\frac{1}{22}[/tex]
etry E.7 Find the distance between a point and a line GWC
Q Search
Line & has equation y=x+1. Find the distance between t and the point V(-5-6).
Round your answer to the nearest tenth.
Submit
Work it
The distance between the line and the point is 2 units
How do we calculate the distance between a line and a point?A perpendicular line will give the shortest distance between a point and a line.
From the equation of the line y = x+1. Therefore the slope is 1
using the equation (y-y1) = m(x-x1)
equation of the line joining the point and the line
= y-(-6) = -1(x - (-5)
= y+6 = -x-5
y = -x-11
x-1 = -x-11
2x = -10
x = -5
y = -5+1
y = -4
(x,y) = (-5,-4)
d = √ -5-(-5)²+ -4-(-6)²
d = √ 0+ 4
d = √4
d = 2 unit
learn more about distance between a point and a line from
https://brainly.com/question/18276750
#SPJ1
Find the value of each variable. Round to the nearest tenth, if necessary.
16.7, 6.7 and 22 degrees respectively are the measures of a, c and m<C
Solving trigonometry identityThe given diagram is a triangle with the following sides
Hypotenuse = AC = 18
m<A = 68 Degrees
We need to determine the measure of a, b and m<C
Using the trigonometry identity
sin 68 = a/18
a = 18sin68
a = 16.7
Similarly;
cos68 = c/18
c = 18cos68
c = 6.7
Since the sum of angles in a triangle is 180 degrees, hence:
m<C = 90 - m<A
m<C = 90 - 68
m<C = 22 degrees
Hence the measure of a, c and m<C is 16.7, 6.7 and 22 degrees respectively.
Learn more on triangles here: https://brainly.com/question/1058720
#SPJ1
21. A rectangle has an area of 24 square inches. Let W be the
width (in inches), L be the length (in inches), and A be the
area (in square inches).
a. Sketch three possible rectangles of area 24 square inches.
b. Which of the symbols W. L. and A are variables? Explain.
Which of the symbols W, L. and A are constants? Explain.
Three possible rectangles of area 24 square inches are:
A rectangle with width 6 inches and length 4 inches
A rectangle with width 8 inches and length 3 inches
A rectangle with width 4 inches and length 6 inches
How to explain the areaIt should be noted that W and L are variables because their values can change, whereas A is a constant because it is fixed at 24 square inches. W and L can be any values as long as the product of their values is equal to 24.
In this case, W and L are variables and A is a constant.
Learn more about area on:
https://brainly.com/question/25292087
#SPJ1
Can someone help me with the step by step solutions to these? Thanks
Answer:
c. √2/30
f. 13√3/14
i. -11√10/24
Step-by-step explanation:
You want the sums of the fractions shown.
Sum of fractionsTwo fractions can be added like this:
[tex]\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}[/tex]
If the denominators have a common factor (k), then this can be reduced to ...
[tex]\dfrac{a}{bk}+\dfrac{c}{dk}=\dfrac{ad+bc}{bdk}[/tex]
The product bdk is the least common denominator when k is the greatest common factor.
Here, the numerators have a common factor, so we can factor that out, perform the sum, then multiply the result by that numerator factor.
c[tex]\dfrac{\sqrt{2}}{5}-\dfrac{\sqrt{2}}{6}=\sqrt{2}\left(\dfrac{1}{5}-\dfrac{1}{6}\right)=\sqrt{2}\cdot\dfrac{6-5}{5\cdot6}=\boxed{\dfrac{\sqrt{2}}{30}}[/tex]
f[tex]\dfrac{3\sqrt{3}}{7}+\dfrac{\sqrt{3}}{2}=\sqrt{3}\left(\dfrac{3}{7}+\dfrac{1}{2}\right)=\sqrt{3}\cdot\dfrac{3\cdot2+7}{7\cdot2}=\boxed{\dfrac{13\sqrt{3}}{14}}[/tex]
iThe denominators have a common factor of 2: 6=3·2, 8=4·2.
[tex]\dfrac{-5\sqrt{10}}{6}+\dfrac{3\sqrt{10}}{8}=\sqrt{10}\left(\dfrac{-5}{6}+\dfrac{3}{8}\right)=\sqrt{10}\cdot\dfrac{-5\cdot4+3\cdot3}{3\cdot4\cdot2}=\boxed{-\dfrac{11\sqrt{10}}{24}}[/tex]
A park has two rectangular, fenced playgrounds. The first playground has a perimeter of 160 feet. The second playground is twice as long and twice as wide as the first playground. Which of these could be the perimeter of the second playground in feet? pls help now ty
a. 640
b. 320
c. 240
d. 168
Answer:
So, the answer is (b) 320 feet.
Step-by-step explanation:
Let's call the length and width of the first playground "x".
The perimeter of the first playground is 160 feet, so 2 times the length plus 2 times the width is equal to 160:
2x + 2x = 160
Simplifying:
4x = 160
Dividing both sides by 4:
x = 40
So the length and width of the first playground are both 40 feet.
The second playground is twice as long and twice as wide as the first playground, so the length and width of the second playground would be 2 * 40 = 80 feet.
The perimeter of the second playground would then be 2 * 80 + 2 * 80 = 320 feet.
So, the answer is (b) 320 feet.
12.
Find the equation of the circle which touches the line 3y-4x-24 = 0 at the point
(0,8) and also passes through the point (7,9). Prove that this circle also touches the
x-axis. Find the equation of the tangents to this circle which are perpendicular to the
line 3-4x-24=0.
The equation of the circle is (x-3)^2 + (y-4)^2 = 85.the equations of the tangents to the circle that are perpendicular to the line 3y-4x-24=0 are y = (-4/3)x + 11 and y = (-4/3)x + 9.
What is the equation of the circleFirst, we find the center of the circle. Since the circle touches the line 3y-4x-24=0 at the point (0,8), the center must lie on the line perpendicular to this line and passing through (0,8), which has the equation 4y + 3x - 32 = 0. The intersection of this line with the line passing through (7,9) and perpendicular to the line 3y-4x-24=0 gives us the center of the circle:
Solving the equations 3y - 4x - 24 = 0 and 4y + 3x - 32 = 0 gives us the point (3,4), which is the center of the circle.
Now, we can find the radius of the circle by using the distance formula between the center (3,4) and the point (7,9):
r = √((7-3)^2 + (9-4)^2) = √(85)
So the equation of the circle is (x-3)^2 + (y-4)^2 = 85.
To prove that the circle also touches the x-axis, we need to show that the distance from the center (3,4) to the x-axis is equal to the radius. The equation of the x-axis is y=0, so the distance from (3,4) to the x-axis is simply 4. Since the radius is sqrt(85), which is also approximately equal to 9.22, we can see that 4 is indeed equal to the radius, so the circle touches the x-axis.
To find the equations of the tangents to the circle that are perpendicular to the line 3y-4x-24=0, we first find the slope of this line, which is 3/4. The slope of a line perpendicular to this line is the negative reciprocal, which is -4/3.
To find the points of tangency, we need to find the intersection points of the line passing through (3,4) with slope -4/3 and the circle (x-3)^2 + (y-4)^2 = 85. This gives us two points of tangency: (0,7) and (6,1).
The tangent lines at these two points can be found using the point-slope form of the equation of a line, with the slope equal to the negative reciprocal of the slope of the line 3y-4x-24=0:
At (0,7), the tangent line has the equation y - 7 = (-4/3)(x-0), which simplifies to y = (-4/3)x + 7 + 4 = (-4/3)x + 11.
At (6,1), the tangent line has the equation y - 1 = (-4/3)(x-6), which simplifies to y = (-4/3)x + 9.
Therefore, the equations of the tangents to the circle that are perpendicular to the line 3y-4x-24=0 are y = (-4/3)x + 11 and y = (-4/3)x + 9.
Learn more on equation of circle here;
https://brainly.com/question/24810873
#SPJ1
Maria started an account with an initial deposit of $47.00 on week 1. She then deposited $18.50 into the account each week thereafter for a total of 40 weeks. How much was the balance of the account after 40 weeks?
Answer:
$121.00
Step-by-step explanation:
y = 18.50x + 47.00
y = the total amount in the account
x = the number of weeks
y = 18.50(4) + 47.00
y = 74.00 + 47.00
y = 121
The graph of a function is showed below
Answer: a
Step-by-step explanation: it's increasing and it's a line
one night a movie theater sold 124 tickets. an adult ticket cost $12.50 and a child ticket cost $6.50. in all, $1298 was taken in. how many of each kind of ticket were sold?
Using the system of equations, we found the number of adult tickets sold as 82 and the number of child tickets sold as 42.
What is the system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
Given,
Number of tickets sold = 124
Cost of one adult ticket = $ 12.50
Cost of one child ticket = $ 6.50
Total money received = $ 1298
We can write a system of equations using the above information.
Number of adult tickets sold = x
Number of child tickets sold = y
x + y = 124
12.5x + 6.5y = 1298
Solving the above equations, we can find x and y.
Multiplying the first equation by 6.5
6.5x+ 6.5y = 806
12.5x + 6.5y = 1298
Subtracting the equations,
-6x = -492
x = 82
Substituting the above value in any one of the equation
82 + y = 124
y = 42
Therefore from the system of equations, the number of adult tickets sold is 82 and the number of child tickets sold is 42.
To learn more about the system of equations, follow the link.
https://brainly.com/question/13729904
#SPJ1
?
equation or inequality best
75x + 0.55y = 125
The solution set for the given equation is (0, 227), (1, 91) and (2, -45.45)
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 75x + 0.55y = 125.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Substitute x=0, 1, 2, 3, 4, 5,....
When x=0
75(0)+0.55y=125
0.55y=125
y=125/0.55
y=227
When x=1
75(1)+0.55y=125
0.55y=50
y=50/0.55
y=91
When x=2
75(2)+0.55y=125
0.55y=-25
y=-25/0.55
y=-45.45
Therefore, the solution set for the given equation is (0, 227), (1, 91) and (2, -45.45)
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ9
12 in.
10 in.
2 in.
7 in.
21 in.
What’s the volume
The required volume of the given rectangular prism is given as 240 in ³.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
From the data we have,
Length of the rectangle prism = 12 in
Width of the rectangle prism = 2 in
Height of the rectangle prism = 10 in
The volume of the rectangular prism = length × width × height
= 12 × 2 × 10
= 240 in ³
Thus, the required volume of the given rectangular prism is given as 240 in ³.
Learn more about Volume here:
https://brainly.com/question/12798956
#SPJ9
The question is incomplete.
Complete question is," Calculate the volume of the prism of dimensions length, width and height are 12, 2, and 10 respectively. "
Help with my algebra homework
The evaluation of the function expressions gives:
(q + f)(5) = 1
(f - q)(2) = -2
(q f)(4) = 9
(f /q)(0) = 1
How to use the graph to evaluate the function expressions?A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
From the graph, when c = 5, q(5) = 0, f(5) = 1. Thus:
(q + f)(5) = 0 + 1 = 1
From the graph, when c = 2, f(2) = 0, q(2) = 2. Thus:
(f - q)(2) = 0 - 2 = -2
From the graph, when c = 4, q(4) = 3, f(4) = 3. Thus:
(q f)(4) = 3 * 3 = 9
From the graph, when c = 0, f(0) = 4, q(0) = 4. Thus:
(f /q)(0) = 4/4 = 1
Learn more about function on:
brainly.com/question/1415456
#SPJ1
In an election, 2325 votes were cast. Person A received 59 fewer votes than person B, and person C received 5 more votes than person B. How many votes did each candidate receive?
The candidates received ;
Person A = 734 votes
Person B = 793 votes
Person C = 798 votes
How to determine the valuesFrom the information given, we have that;
The total votes is 2325Person A received Person B - 59Person C received Person B + 5Now, substitute the values
Person A + Person B + Person C = 2325
Person B - 59 + Person B + Person + B = 2325
Let Person B = x
x -59 + x + x + 5 = 2325
collect like terms
3x = 2325 +54
Add the like terms
3x = 2379
Make 'x' the subject of formula
x = 2379/3
x = 793 votes
Learn about algebraic expressions at:
https://brainly.com/question/4344214
#SPJ1
Ezra 1:9,10 records that King Cyrus returned thirty gold chargers, one thousand silver chargers, twenty - nine knives, thirty gold basons, four hundred ten silver basons, and one thousand other vessels. How many items did Cyrus return to Israel?
Answer:
2489
Step-by-step explanation:
it would be 30+ 1,000+29+30+400+1,000+ 2489
I really hope this helps
Proverbs 4:6-7
Do not forsake wisdom, and she will protect you; love her, and she will watch over you. The beginning of wisdom is this: Get wisdom. Though it cost all you have, get understanding. Cherish her, and she will exalt you; embrace her, and she will honor you. (just a little encouragement to keep studying hard!)
Answer:
2489
Step-by-step explanation:
Ismail tried to prove that
sin
(
�
)
=
cos
(
90
°
−
�
)
sin(θ)=cos(90°−θ)sine, left parenthesis, theta, right parenthesis, equals, cosine, left parenthesis, 90, degree, minus, theta, right parenthesis using the following diagram. His proof is not correct.
The first mistake in Ismail's proof is that (3) cos(90 - Ф) = AC/BC
How to determine Ismail's mistakeThe complete question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
The two column proof
In the two column proof, we have
cos(90 - Ф) = AC/BC
This equation is incorrect because by the definition of cosine, we have
cos(90 - Ф) = AB/BC
i.e. cos(x) = adjacent/hypotenuse
Hence, the mistake in his proof is cos(90 - Ф) = AC/BC
Read more about trigonometry at
https://brainly.com/question/24349828
#SPJ1
Some researchers want to compare meditation and exercise to see which is more effective for reducing
stress. They randomly selected 100 people who suffer from high stress to participate in the study. The
subjects will either be given a 10-week course in a meditation program or they will participate in a 10-
week exercise program. The researchers must decide how to assign the subjects to these programs.
One option would be random assignment of the subjects into the programs. Another option is to allow
each subject to choose a program.
Which of the following is the main advantage of randomly assigning subjects to one of the two
programs rather than allowing them to choose?
Answer:
This is not math...
Step-by-step explanation: