Answer: A range of values, created using sample, within which population parameter has a certain probability of occurring.
Reason: E.g. P(a<x>b) = 0.95
confidence interval is A range of values, is created using a sample, within a population parameter that has a certain probability of occurring.
A sampling method's degree of certainty or uncertainty is measured by confidence intervals. In statistics, the probability that a population parameter will fall between a set of values for a certain percentage of the time is referred to as a confidence interval. Confidence intervals that contain either 95% or 99% of expected observations are frequently utilized by analysts. To comprehend the statistical significance of their estimates, inferences, or predictions, statisticians and other analysts employ confidence intervals.
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Flooring costs £10 per m². How much will it cost to buy enough flooring for this room?
Check the picture below.
[tex]18m^2~~ + ~~10m^2\implies 28m^2\hspace{5em}(\stackrel{m^2}{28})(\stackrel{\pounds}{10})\implies \text{\LARGE \pounds280}[/tex]
what is greater 23/20 or 110%
Answer:
23/20
Step-by-step explanation:
110% of 20 is 22/20, so 23/20 is more.
Step-by-step explanation:
23/20 = 1,15
110% = 1,1
1,15 > 1,1
⇒ 23/20 > 110%
Mariana tried to drink a slushy as fast as she could. She drank the slushy at a rate of 4.54.54, point, 5 milliliters per second. After 171717 seconds, 148.5148.5148, point, 5 milliliters of slushy remained.
How much slushy was originally in the cup?
milliliters
How long did it take Mariana to drink all the slushy?
seconds
The amount of slushy that was originally in the cup is 225 milliliters and the time it took Mariana to drink all the slushy is 50 seconds.
How to find the original quantity?Total quantity she took
Total quantity = 4.5 × 17
Total quantity = 76.5 milliliters
Original quantity = 148.5 + 76.5
Original quantity = 225 milliliters
b. Time taken to drink all
Time =225 milliliters /2.5
Time = 50 seconds
Therefore original quantity 225 milliliters and the time is 50 seconds.
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help me solve this problem
The value of GK = 18.6, GM = 14.5 AND JZ = 19.9.
From the figure:
MZ is a perpendicular bisector of ∆GHJ.
GM = MJ
GM = 14.5
KZ is a perpendicular bisector of ∆GHJ.
GK = KH
GK = 18.6
Z is the circumcenter of ∆GHJ.
JZ = GZ
JZ = 19.9
Therefore the value of GK = 18.6, GM = 14.5 AND JZ = 19.9.
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What is the square root of 144?
Answer:
12
Step-by-step explanation:
12*12=144
Answer: 12 is the correct answer
Step-by-step explanation:
144 = a × a = 122
Then a = √144 = √(12 × 12)
12 × 12 = 144 or -12 × -12 = 144
The square root of 144 is +12 or -12
This shows that 144 is a perfect square.
Find a formula for the nth term of the arithmetic sequence-2 -8 -14 -20…. (I did that already) but explain in detail using words on how you got the answer -6
The general term of the Arithmetic sequence is [tex]T_{n} = -6n +4[/tex]
The given arithmetic sequence is -2, -8, -14, -20
The first term = a = -2,
The common difference = d = -8 -(-2) = -8 +2 = -6
The general term of the arithmetic sequence is given by
[tex]T_{n} = a + (n-1)d[/tex]
Now, putting the values of the first term and common difference in the general term.
[tex]T_{n} = -2 +(n-1) (-6)\\\\T_{n} = -2 -6n +6\\ \\T_{n} = -6n +4[/tex]
Hence, the general term of the Arithmetic sequence is [tex]T_{n} = -6n +4[/tex]
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Simplify.
-2.3-9.0875
Answer: -11.3875
Step-by-step explanation:
Which equation represents a line with slope of -1/3 and y intercept of 5/3?
A. X-3y=5
B.3x-y=5
C.x+3y=5
D.3x+y=-5
The equation of line with slope is -1/3 and y intercept 5/3 is : x + 3y = 5.
What is equation of line?A straight line's general equation is y = mx + c, while m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Y = mx + c represents a equation of a straight line having gradient m and intercept c mostly on y-axis.In the form of a slope intercept, the line's equation looks like this:
y = mx + b
where
slope = m
y-intercept = b
Here given slope = -1/3
y-intercept at 5/3
As a result, the line's equation has a slope of -1 / 3.
Let's use the locations to determine the y-intercept 5/3.
y = mx + b
Here b = 5/3
By substituting ,
y = -1/3x + 5/3
Multiplying both sides by 3,
3y = -x + 5
3y + x = 5
= x + 3y = 5.
Therefore the equation of line is x + 3y = 5.
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Suraj took a slice of pizza from the freezer and put it in the oven. The pizza's temperature (in degrees Celsius) as a function of time (in minutes) is graphed. How long was each increase by 4 degrees Celsius?
A.) 1/2
B.) 1 Minute
C.) 1/4
D.) 1/3
The time taken for the increase in temperature by 4 degrees Celsius is 1/2 minute.
Suraj took a slice of pizza from the freezer and put it in the oven. The pizza's temperature (in degrees Celsius) as a function of time (in minutes) is given in the form of a graph. The coordinates of the points through which the line passes are (2, 10) and (4.5, 30). We can find the slope of the straight line. If the coordinates of two points are (x1, y1) and (x2, y2), then the slope of the passing line is given as below.
m = (y2 - y1)/(x2 - x2)
m = (30 - 10)/(4.5 - 2)
m = 20/2.5
m = 8
This means there is an increase of 8 degrees in temperature in one minute. We need to calculate the time taken for a 4-degree increase in temperature.
m = Δy/Δx
8 = 4/Δx
Δx = 4/8 = 1/2
Hence, the increase in temperature by 4 degrees Celsius took half a minute.
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Can anyone explain to me how to do this if so u get 90 points or wtv
The transformations to function f(x) that results in function g(x) are described as follows:
5. Reflection over the x-axis, vertical stretch by a factor of 2.
6. Shift right of 6 units, shift up of 4 units.
7. The rule for g(x) after the transformation is given as follows:
[tex]g(x) = \sqrt[3]{-x + 7}[/tex]
What are the transformations to each function?For item 5, the functions are given as follows:
Parent function: [tex]f(x) = \sqrt{x}[/tex]Transformed function: [tex]g(x) = -2\sqrt{x}[/tex]The transformation is a multiplication by -2, which means that the function was:
Vertically stretched by a factor of 2, due to the multiplication by a number with absolute value of 2.Reflected over the x-axis, due to the multiplication by a negative number.For item 6, the functions are given as follows:
Parent function: [tex]f(x) = \sqrt[3]{x}[/tex]Transformed function: [tex]g(x) = \sqrt[3]{x - 6} + 4[/tex]Then the transformations are explained as follows:
Shift right of six units, due to the transformation x -> x - 6.Shift up of four units, due to the addition by 4.For item 7, the parent function is:
[tex]f(x) = \sqrt[3]{x}[/tex]
Then the transformations and their effects are given as follows:
Reflection over the y-axis: x -> -x.Translation 7 units right: -x -> -x + 7.Hence the function is:
[tex]g(x) = \sqrt[3]{-x + 7}[/tex]
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someone please help me
Answer:
a= im not sure sorry
h= horizontal shift
k= vertical shift
Step-by-step explanation:
a = the vertical stretch or compression factor
h = is the x-translation, that is it moves the graph right or left
k = The 'k' is the "vertical shift".
If positive, moves graph up k units.
If negative, moves graph down k units.
If 2 i added to a number and the um i tripled, the reult i 16 more than the number. Find the number
The number for this equation is 5.
What is equation?
In arithmetic, Associate in Nursing equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
let the number be x.
So , according to question =
3(x+2) = x+16
Now solving this equation , we will get the answer
⇒ 3x +6 = x+16
now moving x to left side and taking the constant to right,
⇒ 3x-x = 16 -6
⇒ 2x = 10
⇒ x=5
Hence the number is 5.
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Joe went to the hobby shop and bought 2 model sports cars at $8.95 each and some paints. If he spent a total of 23.65, what was the cost of the paints? Can you give the equation pleaseee
If Joe spent a total of $23.65 , then the cost of the paints is $5.75 .
In the question ,
it is given that ,
From the hobby shop , Joe bought 2 model sportscars for $8.95 each
the cost for 2 sports car = 8.95*2 = 17.9
the total amount spent by Joe at the shop = $23.65
let the cost of the paint be "$x" .
the above situation can be represented by the equation .
total cost = cost for 2 model cars + cost of paint
substituting the values from above ,
we get ,
23.65 = 17.9 + x
x = 23.65 - 17.9
x = 5.75
Therefore , If Joe spent a total of $23.65 , then the cost of the paints is $5.75 .
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make x the subject of 4(x-3)/a
The rearranged form of equation 4(x-3)/a=y will be x=ay+3.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the expression is, 4(x-3)/a=y
First, we open the bracket to make x the variable in the equation.
4x - 12/a = y
4x - 12 = ay
4x = ay + 12
x = ay + 12/4
x = ay + 3
Thus, the rearranged form of equation 4(x-3)/a=y will be x=ay+3.
The question is incomplete,
The complete question is"Rearrange to make x the subject of 4(x-3)/a=y:
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consider a wire 2 ft long cut into two pieces. one piece forms a circle with radius r and the other forms a square with side length x. (a) determine a formula for the radius r in terms of x .
The formula for the radius r in terms of x . and for the maximum areas is x=2/[tex]\pi[/tex]+4
Given that,
y forms a circle of radius r
y=2[tex]\pi[/tex]r
r=y/2[tex]\pi[/tex]
(2-y)- forms Square Side x
(2-y) = 4x
x=(2-y)/4
Now Sum of Area's=Area of Square +Area of Circle
Sum = [tex]\pi[/tex]r² + x²
Substitute the r and x values in above equation,
A(y)= y²/4[tex]\pi[/tex]+(y-2)²/ 16
To maximize Area A(y)
A'(y)= 0
2y/4[tex]\pi[/tex] + 2(y-2)/16 =0
y/2[tex]\pi[/tex] + (y-2)/8 =0
y = 2[tex]\pi[/tex]/[tex]\pi[/tex]+4
Y max will be max, x to be maximum.
for maximum sum of areas,
x=2/[tex]\pi[/tex]+4
Hence,The formula for the radius r in terms of x . and for the maximum areas is x=2/[tex]\pi[/tex]+4
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A rain gutter is made from sheets of
aluminum that are 14 inches wide by
turning up the edges to form right
angles. Determine the depth of the
gutter that will maximize its cross-
sectional area and allow the greatest
amount of water to flow. What is the
maximum cross-sectional area?
Explanation:
Let x = depth of the gutter
then
14-2x = width of the gutter
:
Cross section area:
A = depth * width
A = x(14-2x)
A = 14x - 2x^2
:
Axis of symmetry will give x value for max area: x = -b/(2a)
x = -14/2 * -2
x = -14/-4
x = +3.5 inches is the depth for max area
:
:
Max area: 3.5 * 9 = 31.5 sq/in
Genesis owns a small business selling clothing. She knows that in the last week 6
customers paid cash, 66 customers used a debit card, and 44 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with
something other than cash as a percent to the nearest whole number.
The probability of the next customer paying with a debit or credit card other than cash is =94.82%
We have given,
Genesis owns a small business selling clothing.
She knows that in the last week 6 customers paid cash, 66 customers used a debit card, and 44 customers used a credit card.
we are asked to determine the probability that the next customer will pay with something other than cash as a percent to the nearest whole number
P(A)= number of favorable outcome in event A divided by the total outcome in a sample space
customers will pay through debit or credit card other than cash.
last week of customers paid cash: 6
last week of customers paid w/ a debit card: 66
last week of customers paid w/ a credit card: 44
Therefore, 6+66+44= 116
=110/116
=0.9482
= 94.82% is the probability that the next customer will pay with
something other than cash as a percent to the nearest whole number.
Hence we get the required answer.
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I need to know how to solve it please
For the given pair of intersecting lines, we find out that the value of x is 1 and the measure of the angle 1 is 169°.
From the figure we see that there are two lines intersecting each other.
We know,
Sum of all the angles formed = 360
We also know that
If there are a pair of two intersecting lines, then the vertically opposite angles are equal.
=> 20x+11 = 25x-14
=> 5x = 5
=> x = 1
Substituting the value of x in 20x+11 , we have
20*1 + 11 = 21°
Substituting the value of x in 25x-14 , we have
25*1 - 14 = 11°
It is also known to us that the sum of the adjacent angles of a pair of intersecting lines is equal to 180°. This implies that
11° + 1 = 180°
=> 1 = 180° - 11°
=> 1 = 169°
Thus, for the given pair of intersecting lines, we find out that the value of x is 1 and the measure of the angle 1 is 169°.
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find the area of a rectangle 73 cm by 26 cm Help me please? I'm so confused?
Answer:
1898
Step-by-step explanation:
Multiply both numbers together to find the area.
Quadrlateral proofs (Reasons Only)
prove abcd is a rhombus
help pls i hate proofs....
-7(-4w - x + 5) Use the distributive property to remove the parentheses
Answer: -28w + 7x -35
Step-by-step explanation:
[tex]-7(-4w -x +5)\\\\= -7*-4w + (-7)*(-x) + (-7)*5= -28w + 7x -35[/tex]
Answer:
28w+7x-35
Step-by-step explanation:
if the test scores of a class of 35 students have a mean of 75.3 and the test scores of another class of 26 students have a mean of 65.6, then the mean of the combined group is
Answer:The mean of combined group is 71.12 kg
Step-by-step explanation:
Mean of 35 students test score=75.3
Total score of 35 students=mean×test score
=35×75.3
=2635.5
Mean of 26 students test score=65=65.6
Total score of 26 students= 26×65.6
=1705.6
Mean of combined group=(Total score of 35 students+Total score of 26 student ÷Number of total students
=(12635.5+1705.6)÷61
=71.16
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The combined group's average is 71.16.
Given;
If the average test score for one class of 35 students is 75.3 while the average test score for another class of 26 students is 65.6
Mean of 35 student's test scores = 75.3
The total score of 35 students is the mean * test score
=35 * 75.3 =2635.5
Mean of 26 student's test scores = 65.6
The total score of 26 students = 26 * 65.6 =1705.6
Mean of combined group = (Total score of 35 students + Total score of 26 students) / Number of total students
= (12635.5 + 1705.6) / 61
= 71.16
Hence, the mean of the combined group is 71.16
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Which angle is vertical to ∠EAD?
Please help!!!
Answer:
Step-by-step explanation:
Halie, find angle EAD.... see it? next think about the definition of vertical angles: each of the pairs of opposite angles made by two intersecting lines.
which angle is EAD an opposite pair of? ∠IAH looks like a good one.
(REPOST) 13. Find the measure of
(5x +27)°
(2x + 10)°
(4x + 2)°
The measure of angles of ( 5x + 27 )° , ( 2x + 10 )° and ( 4x + 2 )° are 102° , 40° and 62° respectively
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
Given data ,
The angles of the triangle ABC are
∠A = ( 2x + 10 )°
∠B = ( 4x + 2 )°
Let angle ∠C be y
The sum of ∠A + ∠B + ∠C = 180°
So ,
( 2x + 10 )° + ( 4x + 2 )° + y = 180° be equation (1)
Now , we can see that AD is a straight line and C is a point on the line AD
The total angle of C on the line AD is 180°
So , ( 5x + 27 )° + y = 180°
y = 180° - ( 5x + 27 )° be equation (2)
Substituting the value of equation (2) in equation (1) , we get
( 2x + 10 )° + ( 4x + 2 )° + 180° - ( 5x + 27 )° = 180°
On Simplifying , we get
( 2x + 10 )° + ( 4x + 2 )° - ( 5x + 27 )° = 0
( 2x + 4x - 5x ) + ( 10 + 2 - 27 ) = 0
x - 15 = 0
Adding 15 on both sides , we get
x = 15°
Substituting the value of x in the ∠A , ∠B and ∠C equation , we get
∠A = ( 2x + 10 )°
= 40°
∠B = ( 4x + 2 )°
= 62°
∠C = 180° - ( ∠A + ∠B )
= 180° - 102°
= 78°
Therefore , the angles of the triangle ABC are 40° , 62° and 78°
The measure of ( 5x + 27 )° is
= ( 5 x 15 + 27 )°
= 102°
Hence , the measure of angles of ( 5x + 27 )° , ( 2x + 10 )° and ( 4x + 2 )° are 102° , 40° and 62° respectively
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Show that diagonal EG is a line of symmetry for rhombus EFGH.
The diagonal EG is a line of symmetry for rhombus EFGH
A rhombus is a quadrilateral with equal sides. Because opposite sides of a parallelogram are equal, a rhombus is a type of parallelogram in which all sides are equal.
Given rhombus EFGH
We have to prove that diagonal EG is a line of symmetry for rhombus EFGH
According to the property of the rhombus
Four sides of EFGH are equal
So EF = EH
FG =HG
Meanwhile EG =EG(common side)
So triangle EFG = triangle EHG
The diagonal EG is a line of symmetry for rhombus EFGH
Therefore the diagonal EG is a line of symmetry for rhombus EFGH
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Pls help, if multiple people answer this, I’ll give someone brainliest :D
Answer:
B . 72 you have to skip count by 12
C . 18 because 54 divide by 3 is 18 because they frame 3 houses in one week
Sorry I tried to do the rest but got confused I hope this helps u
Step-by-step explanation:
Lucy i making the ame bracelet for eight of her Friend he ha 32 bead how many bead can you put on each bracelet?
Using the fraction concept, we can say that The number of beads each friend will get is 4.
What are fractions?
Fractions are referred to as the components of a whole in mathematics. A single object or a collection of objects might be entire. When we cut a piece of cake in real life from the entire cake, the part represents the percent of the cake. The word "fraction" is derived from Latin. "Fractus" means "broken" in Latin. The fraction was expressed verbally in earlier times. It was afterward presented in numerical form.
A piece or sector of any quantity is another name for the fraction. It is indicated by the sign "/," such as a/b. For instance, in the fraction 2/4, the lower part represents the denominator, and the top part the numerator.
In the given question, we have:
Number of bead = 32 bead;
Total number of friends = 8;
So,
we need to find how many beads will one friend get:
So,
The number of beads each friend will get : [tex]\frac{32}{8}[/tex]
The number of beads each friend will get is 4.
Hence,
using the fraction concept, we can say that The number of beads each friend will get is 4.
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Which fraction is the smallest?
3/5 1/2 2/3 4/7 3/8
Can someone please explain this to me my exams in one day
The rate of interest half yearly is 8.25 and monthly is 1.375%.
In the given question we have to find the effective rate of intereset, if a amount of money is borrowed an interest rate of 16.5% p.a. and is compounded.
The interest rate annually = 16.5%
(a) We have to calculate rate of interest half yearly.
In a half year have 6 months and in total have 12 months. So their is rate of interest for 2 times.
So the rate of interest half yearly = 16.5%/2
The rate of interest half yearly = 8.25%
(b) We have to calculate rate of interest monthly.
As we know that in a year have 12 months.
So the rate of interest monthly = 16.5%/12
The rate of interest monthly = 1.375%
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How many millimeters are in 1 centimeter
Answer:
10mm = 1cm
Step-by-step explanation:
Milli means 1000th of
Centi means 100th of
1000 / 100 = 10
So,
10mm = 1cm