we would expect the result to be within 3 percentage points of the true population value 95 of those times.
sample of the population, we know that the result probably won’t exactly match the “true” result that we would get if we interviewed everyone in the population.
The margin of sampling error describes how close we can reasonably expect a survey result to fall relative to the true population value.
A margin of error of plus or minus 3 percentage points at the 95% confidence level means that if we fielded the same survey 100 times,
we would expect the result to be within 3 percentage points of the true population value 95 of those times.
To know more about margin of error brainly.com/question/29101642
#SPJ4
A football team has four different jerseys that players wear throughout the season: school colors, white, throwback, and pink (for breast cancer awareness). The tree diagram shows the conditional probabilities of the outcome of their games when players wear each type of jersey.
For a randomly selected game, determine the probability that players wore their white jerseys, given that they won.
0.34
0.41
0.42
0.80
Answer:0.41
Step-by-step explanation:
a solid object is made with the combination of a cylinder and cone having the same radii. The height of cylinder is 21cm and the slant height of the cone is 10cm .If the total cost of painting the Total surface of the solid object at the rate of RS 140 per 100 sq cm is RS 1531.20. find the height of the cone.
Step-by-step explanation:
The lateral surface area of a cone is A = π r L, where L = √(r² + h²) is the slant height.
The lateral surface area of a cylinder is A = 2 π r H.
The area of the cylinder's base is A = π r².
The total area is therefore:
A = π r L + 2 π r H + π r²
A = π r² + (π L + 2 π H) r
The total cost of painting the surface is Rs. 1531.20 at a rate of Rs. 140 per 100 cm². Therefore the total surface area is:
A = Rs. 1531.20 / (Rs. 140 / 100 cm²)
A = 1093.71 cm²
Plug in and solve for r:
1093.71 = π r² + (10π + 42π) r
348.14 = r² + 52r
r² + 52r − 348.14 = 0
r = [ -52 ± √(52² − 4(1)(-348.14)) ] / 2
r = [ -52 ± √(52² − 4(1)(-348.14)) ] / 2
r = (-52 ± 64) / 2
r = -58 or 6
Since r > 0, r = 6.
Solve for h:
L² = r² + h²
10² = 6² + h²
h = 8 cm
What is the quotient of 535 ÷ 30? Enter your answer in the boxes.
Select the correct answer.
Which graph represents function g?
g(x) = (-x)1/2
Answer:
Step-by-step explanation:
g(x) = (-x)1/2
Which system of equations has no solution?
3x + y = 5
6x + y = 5
3x + y = 5
6x + 2y = 7
3x + y = 5
6x + y = 10
√3x + y = 5
O
6x + 2y = 10
PLEASE HELP QUICKLY I GIVE BRAINLIEST
Figure A is a scale image of figure B.
Figure A maps to figure B with a scale factor of 2 1/2
What is the value of x
The value of x is equal to 2, for the figure A which maps to figure B with a scale factor of 2 1/2 .
What is scale factorScale factor is the ratio between the scale of a given original object and a new object, which is its representation but of a different size either bigger or smaller.
From the question, figure A maps to figure B with a scale factor of 2 1/2 which implies that figure B was made bigger by multiplying with 2 1/2 , so we can evaluate for the value of x as follows:
2 1/2 = 5/2
x = 5 ÷ (5/2) {changing division to multiplication}
x = 5 × 2/5 {cancel out 5}
x = 2
Therefore, the value of x is equal to 2, using the scale factor of 2 1/2 for figure A and figure B.
Know more about scale factor here: https://brainly.com/question/2826496
#SPJ1
Factor by grouping: 16x³ +28x² - 28x - 49 = 0
A) (4x²-7) (4x + 7) = 0
B (4x² + 7) (4x + 7) = 0
C(4x² + 7) (4x - 7) = 0
D (4x² - 7) (4x - 7) = 0
Factor by grouping: 16x³ +28x² - 28x - 49 = 0 is (4x² - 7) (4x - 7) = 0
What is factoring by grouping?Large polynomials can be divided into groups based on a common factor. As a result, we may factor each distinct group and then merge like words. We refer to this as factoring by grouping.
We have the equation,
16x³ +28x² - 28x - 49 = 0
In order to solve the equation by using factor by grouping:
We find common terms in between,
So, we arrange the terms,
16x³ +28x² - 28x - 49 = 0
4x² (4x - 7) -7 (4x - 7) = 0
Here, we have common term (4x-7).
Factor out the common binomial.
(4x² - 7) (4x - 7) = 0
Therefore, (4x² - 7) (4x - 7) = 0 is the factor.
To learn more about the factoring by grouping;
https://brainly.com/question/11919488
#SPJ1
If ACDG~ AEDF, find the value of x.
F
2x + 7
48
D
5x2
40
E
G
The value of x for the given figure is 2.35 if triangle ΔCDG~ ΔEDF
What is meant by a triangle?Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The designation "triangle ABC" refers to a triangle containing the vertices A, B, and C. When three points are non-collinear in Euclidean geometry, they each produce a distinct triangle and plane. Since it was first described on the first page of Euclid's Elements, the vocabulary for classifying triangles is more than two thousand years old. Modern categorization names are either literal transliterations of Euclid's Greek or their Latin interpretations.
A closed triangle has 3 sides, 3 angles, and 3 vertices. It is a 2-dimensional shape. Polygons include triangles as well. ABC is used to signify a triangle in the previous illustration.
FD/DC=ED/DG
2x+7/48=5x-2/40
40(2x+7)=48(5x-2)
80x+280=240x-96
160x=376
x=2.35
Therefore, The value of x for the given figure is 2.35 if triangle ΔCDG~ ΔEDF
To know more about triangle, visit:
https://brainly.com/question/2773823
#SPJ1
a flood lamp is installed on the ground 20 feet from a vertical wall. a 6-foot-tall man is walking towards the wall at the rate of 5 ft/s. how fast is the tip of his shadow moving down the wall when he is 5 feet from the wall?
Therefore , the speed of shadow moving down the wall when he is 5 feet from the wall is 8/3 ft/sec.
What does differentiation mean?A method of determining a function's derivative is differentiation. Mathematicians use the technique of differentiation to determine the instantaneous rate of change in a function based on one of its variables. The most typical example is velocity, which is the rate at which a distance changes in relation to time.
Here,
ΔABC & ΔDBE
=> AC/DE = BC/BE
=> h/6 = 20 /20-x
=> h = 120/20-x
Differentiate w.r.t to t
=> dh/dt = [tex]\frac{120}{{(20-x)}^{2} }[/tex] * dx/dt
given the man is walking towards wall at the rate of 5 ft/s
thus, dx/dt =5 ft/s
=>dh/dt = [tex]\frac{120}{{(20-5)}^{2} }[/tex] * 5
=>dh/dt = 8/3 ft /sec
Therefore , the speed of shadow moving down the wall when he is 5 feet from the wall is 8/3 ft/sec.
To know more about differentiation , visit
https://brainly.com/question/24898810
#SPJ4
Rewrite 3x + 15 as the product of two factors
Answer:
Below
Step-by-step explanation:
3x+15 <==== factor out '3'
3 * ( x+5) done !
Alfreda made a container shaped like a triangular prism, as shown in the diagram.
A
14 in.
4 in.
11 in.
What is the volume of the container in cubic Inches?
The volume of the triangular prism is 308 in³
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Given that, Alfred made a container shaped like a triangular prism,
Given are the dimensions, 14 in., 4 in. and 11 in.
Volume of a triangular prism = BxHxL/2
= 14x4x11/2 = 616/2 = 308 in³
Hence, The volume of the triangular prism is 308 in³
For more references on volume, click;
https://brainly.com/question/13338592
#SPJ1
In the equation y=x2+2x+5 what is the value for y when x equals 3?
The value of y in the equation y=x2+2x+5 when x=3 is y= 20
SimplifySimplifying algebraic expressions is the same idea, except you have variables (or letters) in your expression.
simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving
y=x^2+2x+5
mathematically, x=3
substitute the valve of x=3 into the equation
y= 3^2 + 2(3) + 5
y= (3x3) + 2(3) +5
Evaluate the value of y by adding the numbers together
y= 9 + 6+ 5
y= 20
Therefore, the value of y in the equation y=x^2+2x+5 is 20
Learn more about Simplify here: https://brainly.com/question/28036476
#SPJ1
If a fair coin is tossed 5 times, what is the probability, to the nearest thousandth, of getting exactly 3 heads?
The required probability of getting exactly 3 heads is 0.3.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
here,
Total sample space = 2×5 = 10
Favorable outcome (3 heads) = 3
Probability is given of getting exactly 3 heads
= favorable outcome / total sample space
Substitute the value in the above equation
= 3 / 10
= 0.3
Thus, getting the 3 heads while tossing a coin 5 times has a probability of 0.3.
Learn more about probability here:
brainly.com/question/14290572
#SPJ1
he charges $15.75 for 3 hours and $26.25 for 5 hours.
complete the explanation of why the relationship between how much steven charges and time is a proportional relationship.
the rate have the same?
A proportional relationship is when a change in one variable results in a change in the other variable in a consistent manner.
explain why the rate is the same and the link between the amount Steven charges and the passage of time is proportional?similar to direct variation in the form
y = k × x
where,
y = dependent variable
x = independent variable
k = constant.
The relationship between how much Steven charges and time is a proportional relationship because the rate of change between the two variables is constant. This can be seen in the equations:
For 3 hours: cost = 15.75
For 5 hours: cost = 26.25
The rate of change can be calculated by dividing the difference in costs (26.25 - 15.75) by the difference in time (5 hours - 3 hours) which equals a rate of 5.50 per hour. This rate remains constant for all other time increments, making it a proportional relationship.
To learn more about the constant of proportionality refer to:
https://brainly.com/question/1835116
#SPJ1
write 987.6 in scientific notation
987.6 million written in scientific notation is 9.876 × [tex]10^{8}[/tex]
What is scientific notation?
Scientific notation is basically a shortcut for writing numbers. It is a method of expressing real numbers in terms of a significand, multiplied by a power of 10.
When using scientific notation, you're allowed to simplify all the zeros that you have in the number by writing the number as a product of a number and a power of 10. 987.6 million in exponential form is [tex]a^{b}[/tex], a is the base, and b is called the exponent . The term [tex]a^{b}[/tex] is called the exponential expression. 987.6 million = 9.876 x 100,000,000 = 9.876 ×[tex]10^{8}[/tex].
To know more about scientific notation visit:
https://brainly.com/question/10401258
#SPJ1
what is the answer to this question?
−6(4y + 4y + (−4))
Answer:
-48y+24
Step-by-step explanation:
−6(4y + 4y + (−4))
=-6(8y+-4)
=-48y+24
Answer:
-48y + 24
Step-by-step explanation:
−6(4y + 4y + (−4)) =
= −6(8y - 4)
= -48y + 24
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 1, negative 3) and (0, 0). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (negative 2, 3) and (1, negative 3). Everything to the right of the line is shaded.
A school is planning for an addition in some open space next to the current building. The existing building ends at the origin. The graph represents the system of equations that can be used to define the space for the addition. What is the system of equations that matches the graph?
y ≤ 3x
y > –2x – 1
y > 3x
y ≤ –2x – 1
y < –3x
y ≥ 2x – 1
y > –3x
y ≤ 2x – 1
The system of inequalities that matches the graph is defined as follows:
y ≤ 3x.y > –2x – 1.How to define the system of inequalities?The first solid line has a positive slope and goes through (-1, -3) and (0, 0). Everything to the left of the line is shaded, hence this is the upper bound of the interval, as it is a solid line, it is a closed interval.
This line has an intercept of zero and a slope of 3, as when x increases by one, y increased by 3, hence the constraint is defined as follows:
y ≤ 3x
he second dashed line has a negative slope and goes through (-2, 3) and (1, -3). Everything to the right of the line is shaded, meaning that this is the lower bound of the interval, with an open interval.
When x increased by 3, y decayed by 6, hence the slope of the line is of:
m = -6/3 = -2.
Then:
y = -2x + b.
When x = 1, y = -3, then the intercept is given as follows:
-3 = -2 + b
b = -1.
Thus the constraint is of:
y > –2x – 1.
More can be learned about a system of inequalities at https://brainly.com/question/9290436
#SPJ1
Solve by factoring
X^2+x=63
Answer:
x = 3[tex]\sqrt{7- x}[/tex]
Step-by-step explanation:
so what you do here is move the x to the other side.
X^2 = 63 - x
then you square root both sides
so [tex]\sqrt{x^{2} }[/tex] and [tex]\sqrt{63 - x}[/tex]
so you end up with
x = [tex]\sqrt{63 - x}[/tex]
so now we ask what can we take out? 9 times 7 is 63 and 9 is a perfect square so when we take the square root of that, we end up with
x = 3[tex]\sqrt{7- x}[/tex]
have a good day :)
help me solve this asap emergency
Answer:
a. -4
b. 1/4
Step-by-step explanation:
a. [tex]\textrm{slope}_{||} = \dfrac{\textrm{rise}}{\textrm{run}} = \dfrac{-4}{1} = -4[/tex]
b. [tex]\textrm{slope}_\perp = \dfrac{-1}{\textrm{slope}_{||}} = \dfrac{-1}{-4} = \dfrac{1}{4}[/tex]
Louisa purchased a new snake for $199.00. Sales tax is 7.25%. What is her total bill? Round your answer to the nearest hundredth.(1 point)
A tutor guarantees that 10% of her students will obtain A on every test they write. For the last test, the mean mark is 68 and the standard deviation is 6.
What mark is required to receive an A on the test?
The mark that is required to receive an A on the test is; 75.68
How to find sample mean?The formula for z-score here with the parameters given is;
z = (x' - μ)/σ
where;
x' is sample mean
μ is population mean
σ is standard deviation
We are given;
p-value = 10% = 0.1
μ = 68
σ = 6
Now, from z-score tables, the z-score at a p-value of 0.1 is z = 1.28. Thus;
1.28 = (x' - 68)/6
x' = 68 + (1.28 * 6)
x' = 75.68
We conclude that this value is the mark required to receive an A on the test.
Read more about sample mean at; https://brainly.com/question/28103278
#SPJ1
Insert terms to make a identity replace *
(15x+*)^2=225x^2+90xy+*
Answer:
3y, 9y²
Step-by-step explanation:
We use laws of binomial
(a+b)²=a²+2ab+b²
From this, we get
15x × * × 2 = 90xy
2×*=6y
*=3y
Now, we square this term to get the last term
3y×3y=9y²
Create three addition expressions with unlike denominators that are equivalent to the expression below:
6/12+3/12
Answer:
Step-by-step explanation:
3/6 + 1/4, 6/12 + 3/12, 12/24 + 6/24, 18/36 + 9/36
PLEASE HELP!!!!! I WILL MARK BRAINIEST
Answer:
Step-by-step explanation:
7/8
------
3/10
use the fraction rule: 7x10/8x3- 35/12
try that, im not sure if its fully correct
Make b the subject of p=1/2ab^2
Answer:
b = [tex]\sqrt{2p/a}[/tex]
Step-by-step explanation:
The given equation is:
p=1/2ab^2
Multiply by 2 on both sides
2p = ab^2
Then divide by a on both sides,
b^2 = 2p/a
take square root on both sides, then we can get subject of b,
b = [tex]\sqrt{2p/a}[/tex]
Hence, the subject of the given equation make the value of b is b = [tex]\sqrt{2p/a}[/tex]
The subject of an equation is the value that is being solved for. An equation is a mathematical statement consisting of an equality sign (=) between two expressions that have the same value. The expression on the left side of the equality sign is called the left-hand side, while the expression on the right side of the equality sign is called the right-hand side. The left-hand side of the equation can be thought of as what is being solved for, while the right-hand side of the equation can be thought of as the clues or tools that are used to solve for the left-hand side. For example, in the equation 3x + 1 = 7, the subject of the equation is the variable x, which is the value that is being solved for.
To learn more about equation refer to:
https://brainly.com/question/22688504
#SPJ1
A shipping container will be used to transport several 50-kilogram
crates across the country by rail. The greatest weight that can be
loaded into the container is 27500 kilograms. Other shipments
weighing 9500 kilograms have already been loaded into the container.
Write and solve an inequality which can be used to determine x, the
number of 50-kilogram crates that can be loaded into the shipping
container.
Answer:
50x + 9500 ≤ 27500
x ≤ 360
Step-by-step explanation:
50x + 9500 ≤ 27500 Subtract 9500 from both sides
50x + 9500 - 9500 ≤ 27500 - 9500
50x ≤ 18000 Divide both sides by 50
[tex]\frac{50x}{50}[/tex] ≤ [tex]\frac{18000}{50}[/tex]
x ≤ 360
I need help the question > The function f(x)=2-3x Find the value of the number K if kf(3)=7f(2) can anyone help?
The value of k for the function k f( 3 ) = 7 f( 2 ) is 2
What is a Function ?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
According to the given information
We are given with the function
f( x ) = 2 -3x
f ( 3 ) = 2 - 3(3)
= 2 - 9
f ( 3 ) = -7
f ( 2 ) = 2 - 2(2)
= 2 - 4
f ( 2 ) = -2
We are given
k f( 3 ) = 7 f( 2 )
k ( -7 ) = 7 ( -2 )
k = 2
The value of k for the function k f( 3 ) = 7 f( 2 ) is 2
To know more about Function
https://brainly.com/question/28193995
#SPJ1
how many ways can a group of 7 adults and 4 children stand in a line if no two children are allowed to stand next to each other?
We can arrange the group in 120960 different ways.
Given,
Number of adults = 7
Number of children = 4
We have to find the number of ways they can stand when no two children are allowed to stand together;
Here,
Arrange 7 adults in a row of 7 ; 7
Number of arrangements = 7! = 5040
Consider that there are four possible placements for a child, but only one youngster can be placed in each of them: on either side of the row of adults, or in between two adults.
Consequently, pick one place for each youngster from the possibilities below: 4 for the first adult, 3 for the second,... the final adult's two options are = 4 × 3 × 2 = 24 arrangements
Add the two groupings together = 5040 × 24 = 120960
Therefore,
There is 120960 ways to arrange the standing position of the group.
Learn more about arrangement of group here;
https://brainly.com/question/18530971
#SPJ4
Write to the equation y=mx+b in the terms of m?
Answers
M=y-b divided by x
M=X+b divided by y
M=y divided by X -b
M=xy-b
Which one?
The equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.
What is the isolation of a variable in an equation?
Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.
Isolation is the process of moving one variable to one-side of the equation and everything else on the other side of the equation.
How to solve the question?
In the question, we are given an equation, y = mx + b, and are asked to write m in terms of x, y, and b.
This means that we need to isolate the variable m, to get an expression equal to m.
The isolation of the variable m can be done as follows:
y = mx + b,
or, y - mx = mx + b - mx {Subtracting mx from both sides},
or, y - mx = b {Simplifying},
or, y - mx - y = b - y {Subtracting y from both sides},
or, -mx = b - y {Simplifying},
or, (-mx)/(-x) = (b - y)/(-x) {Dividing both sides by (-x)}
or, m = (y - b)/x {Simplifying}.
Thus, the equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.
Learn more about the isolation of variable at
brainly.com/question/27631286
#SPJ1
The equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.
What is the isolation of a variable in an equation?
Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.
Isolation is the process of moving one variable to one-side of the equation and everything else on the other side of the equation.
How to solve the question?
In the question, we are given an equation, y = mx + b, and are asked to write m in terms of x, y, and b.
This means that we need to isolate the variable m, to get an expression equal to m.
The isolation of the variable m can be done as follows:
y = mx + b,
or, y - mx = mx + b - mx {Subtracting mx from both sides},
or, y - mx = b {Simplifying},
or, y - mx - y = b - y {Subtracting y from both sides},
or, -mx = b - y {Simplifying},
or, (-mx)/(-x) = (b - y)/(-x) {Dividing both sides by (-x)}
or, m = (y - b)/x {Simplifying}.
Thus, the equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.
Learn more about the isolation of variable at
brainly.com/question/27631286
#SPJ1
Solve for j
1 - j/4 = 3
Answer:
j = - 8
Step-by-step explanation:
1 - j/4 - 3
1 is also 4/4
so
4/4 - j/4 = 3
4 - j/ 4= 3
multiply by 4 on both sides
which gets you
-j + 4 = 12
minus 4 from both sides
-j = 8
j = -8
Answer:j=-8 I hope this helps
Step-by-step explanation:
1-j/4=3
Multiply both sides of the equation by 4
which gives you
4-j=12
Move the constant to the right-hand side and change its sign
-j=12-4
Subtract the numbers
-j=8
Change the signs on both sides of the equation
j=-8 - This is your answer
