Answers
Answer:
We have to prove the triangles ΔXYW and ΔZYW are similar. We can do this by showing that they have two equal/in-ratio corresponding sides with the same angle between them (SAS/side-angle-side), or by showing they have two equal corresponding angles (AA/angel-angle), or by showing their sides are in ratio (SSS).
We are told XY=ZY, so we already know the triangles share an equal side.
Both triangles also share YW as a side.
Because YW bisects <XYZ, we know <XYW = <ZYW, so we know the angle between the triangle's corresponding sides are the same.
Therefore, since the triangles have two equal corresponding sides with the same angle between them (SAS), we can say they are similar.
Hope this helps :)
Related Questions
Given g(x)=5x+4g(x)=5x+4, solve for xx when g(x)=9g(x)=9.
Answers
Answer:
[tex]\huge\boxed{\sf x = 1}[/tex]
Step-by-step explanation:
Given function:g(x) = 5x + 4
Given that, g(x) = 9
So,
9 = 5x + 4
Subtract 4 to both sides
9 - 4 = 5x
5 = 5x
Divide 5 to both sides
1 = x
OR
x = 1
[tex]\rule[225]{225}{2}[/tex]
Answer:
x = 1
Step-by-step explanation:
The given information is,
→ g(x) = 5x + 4
→ g(x) = 9
Now the value of x will be,
→ 5x + 4 = g(x)
→ 5x + 4 = 9
→ 5x = 9 - 4
→ x = 5/5
→ [ x = 1 ]
Hence, the value of x is 1.
Jenny collected donations at a pet store for the local animal shelter. As she left, Jenny
estimated she had collected $85. After counting the donations, she learned she had actually
collected $110. What is the percent error for her estimate?
If necessary, round your answer to the nearest tenth of a percent.
Answers
Answer:
Step-by-step explanation
Initial amount = $85
Final amount = $110
percentage error = ((Final amount - Initial amount)*100)/Final amount
= (25*100)/110
=22.7272
=22.7 (to the nearest tenth of a percent, which is 1 decimal place)
The solution is 22.7 %
The percentage error in the estimation of donations at the pet store by Jenny is 22.7 %
What is Percentage Error?
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage error is the difference between the measured value and the true value , as a percentage of the true value
Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100
Given data ,
Let the percentage error be represented as A
Now , the value of A is
The estimated donation amount by Jenny = $ 85
The actual donation amount collected by Jenny = $ 110
Now , the percentage error in the estimation of Jenny A is calculated by the equation ,
Percentage error in the estimation of Jenny A = ( ( | estimated donation amount - actual donation amount collected by Jenny ) | / actual donation amount collected by Jenny ) ) x 100
Substituting the values in the equation , we get
Percentage error in the estimation of Jenny A = ( | 85 - 110 | / 110 ) x 100
On simplifying the equation , we get
Percentage error in the estimation of Jenny A = ( 25/110 ) x 100
Percentage error in the estimation of Jenny A = 2500 / 110
Percentage error in the estimation of Jenny A = 22.72 %
Therefore , the value of A is 22.7 %
Hence , the percentage error in the estimation is 22.7 %
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Evaluate. (5/6+2/3)−(3/4+1/12) Enter your answer as a fraction in simplest form by filling in the boxes. $$
Answers
The evaluation of the fraction (5/6 + 2/3) - (3/4 + 1/12) in its simplest form is 2/3
How to evaluate fractions?A fraction is a number which consists of a numerator and a denominator.
A numerator is the upper or top value of a fraction while a denominator is the lower or bottom value of a fraction.
(5/6 + 2/3) - (3/4 + 1/12)
= (5+4)/ 6 - (9+1) / 12
= 9/6 - 10/12
= 3/2 - 5/6
= (9-5) / 6
= 4/6
= 2/3
Consequently, the answer to the given fraction in its simplest form is 2/3
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Please help me solve
Answers
As per the concept of matrix multiplication, the value AB is [tex]\begin{bmatrix}11 &15 &-17 \\ -1&-4 &-4 \\ 17&15 &-22 \end{bmatrix}[/tex]
Matrix multiplication:
Matrix multiplication states that "The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix."
Given,
Here we have the matrix A and B.
And we have to perform the multiplication operation on it.
The value of matrix A is written as,
[tex]\begin{bmatrix} -4& 1 &-4 \\3 & 3 & 1 \\2 & 5 & 5\end{bmatrix}[/tex]
And the value of the matrix B is written as,
[tex]\begin{bmatrix} -4& -5 &4 \\3 & 3 & -5 \\2 & 2 & -1\end{bmatrix}[/tex]
Now, we have to multiply these two matrix, then we get the following,
[tex]\begin{bmatrix} -4& 1 &-4 \\3 & 3 & 1 \\2 & 5 & 5\end{bmatrix}\times\begin{bmatrix} -4& -5 &4 \\3 & 3 & -5 \\2 & 2 & -1\end{bmatrix}[/tex]
And the multiplication of the matrix is written as,
[tex]\begin{bmatrix} -4\times-4+1\times3-4\times2& -4\times-4+1\times3-4\times2 &-4\times4+1\times-5-4\times-1 \\3\times-4+3\times3+1\times2 & 3\times-5+3\times3+1\times2 & 3\times4+3\times-5+1\times-1 \\2\times-4+5\times3+5\times2 & 2\times-5+5\times3+5\times2 & 2\times4+5\times-5+5\times-1\end{bmatrix}[/tex]
When we simplify this one then we get the value of AB is,
[tex]\begin{bmatrix}11 &15 &-17 \\ -1&-4 &-4 \\ 17&15 &-22 \end{bmatrix}[/tex]
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Set up the triple Integral SI V over the tetrahedron formed by the coordinate planes and the plane X + y + 24 using six different orders of Integration de dy dx dx dy dy do dy dx de ar ddy dr dy (b) Find the volume of the tetrahedron.
Answers
Step-by-step explanation:
For Part A:
Refer to the photo for an explanation on how to graph z=x+y+24 and how to set up the first integral. I will not explain how to do the other five but I have placed them beneath....
[tex]\int\limits^{24}_0 {} \,\int\limits^{z-24}_0 {} \,\int\limits^{z-y-24}_0 {} \, 1dxdydz \\\\[/tex]
Where limits are, [tex]0\leq x\leq z-y-24\\0\leq y\leq z-24\\0\leq z\leq 24[/tex]
[tex]\int\limits^{-24}_0 {} \,\int\limits^{y+24}_0 {} \,\int\limits^{z-y-24}_0 {} \, 1dxdzdy\\\\[/tex]
Where limits are, [tex]0\leq x\leq z-y-24\\0\leq z\leq y+24\\0\leq y\leq -24[/tex]
[tex]\int\limits^{24}_0 {} \,\int\limits^{z-24}_0 {} \,\int\limits^{z-x-24}_0 {} \, 1dydxdz\\\\[/tex]
Where limits are,[tex]0\leq y\leq z-x-24\\0\leq x\leq z-24\\0\leq z\leq 24[/tex]
[tex]\int\limits^{-24}_0 {} \,\int\limits^{x+24}_0 {} \,\int\limits^{z-x-24}_0 {} \, 1dydzdx\\\\[/tex]
Where limits are, [tex]0\leq y\leq z-x-24\\0\leq z\leq x+24\\0\leq x\leq -24[/tex]
[tex]\int\limits^{-24}_0 {} \,\int\limits^{-y-24}_0 {} \,\int\limits^{x+y+24}_0 {} \, 1dzdxdy\\\\[/tex]
Where limits are, [tex]0\leq z\leq x+y+24\\0\leq x\leq -y-24\\0\leq y\leq -24[/tex]
[tex]\int\limits^{-24}_0 {} \,\int\limits^{-x-24}_0 {} \,\int\limits^{x+y+24}_0 {} \, 1dzdydx[/tex]
Where Limits are, [tex]0\leq z\leq x+y+24\\0\leq y\leq -x-24\\0\leq x\leq -24[/tex]
For Part B:
All the above limits equal the same volume. So I will just solve for one of the limits.
Evaluate, [tex]\int\limits^{24}_0 {} \,\int\limits^{z-24}_0 {} \,\int\limits^{z-y-24}_0 {} \, 1dxdydz \\\\[/tex]
[tex]\int\limits^{24}_0 {} \,\int\limits^{z-24}_0 {} \, (x]^{z-y-24} _0){} dydz \\\\[/tex]
[tex]\int\limits^{24}_0 {} \,\int\limits^{z-24}_0 {} \, [(z-y-24)-0]{} dydz \\\\[/tex]
[tex]\int\limits^{24}_0 {} \,\int\limits^{z-24}_0 {} \,z-y-24{} dydz \\\\[/tex]
[tex]\int\limits^{24}_0 {} \,[0-\frac{y^{2} }{2} -0]{} dz \\\\[/tex]
[tex]\int\limits^{24}_0 {} \,\frac{y^{2} }{2} ]^{z-24} _{0} {} dz \\\\[/tex]
[tex]\int\limits^{24}_0 {} \,[(\frac{(z-24)^{2}}{2})-0] {} dz \\\\[/tex]
[tex]\int\limits^{24}_0 {} \,[\frac{z^2}{2}-288] {} dz \\\\[/tex]
[tex][\frac{z^3}{6}-288z]^{24} _{0} {} \\\\[/tex]
[tex][(\frac{24^3}{6}-288(24))-0] {}[/tex]
[tex](4608-6912)=-2304\\[/tex]
Answer: -2304
Evaluate : -15 + 6 =
Answers
Answer: -11
(absolute value) (15 - 6) x -1 = 11 x -1 = -11
Answer:
6 on edge
Step-by-step explanation:
Convert 33kilo to pounds using unit fraction
Answers
The conversion of 33 kilo to pounds using unit fractions is given by 72.765 pounds
How to convert from kilo to pounds?There are several units used by scientist to measure different things such as weight, temperature, mass, length etc. Units can be converted from one form to another.
Kilograms written as kg is a unit of mass
Milligrams written as mg is also a unit of mass.
Convert kilo to pounds:
1 kilo = 2.205 pounds
33 kilo = 2.205 × 33
= 72.765 pounds
That is,
A kilo is equivalent to 2.205 pounds
In conclusion, the conversion of 33 kill to pounds is 72.765 pounds.
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City A and City B had two different temperatures on a particular day. On that day, five times the temperature of City A was 8° C more than three times the temperature of City B. The temperature of City A minus twice the temperature of City B was −4° C. The following system of equations models this scenario: 5x = 8 + 3y x − 2y = −4 What was the temperature of City A and City B on that day? City A was 1° C, and City B was −1° C. City A was 4° C, and City B was 4° C. City A was 7° C, and City B was 9° C. City A was 10° C, and City B was 14° C.
Answers
The temperature of City A and City B on that day was 4° C respectively.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
WE have been given system of equations as;
5x = 8 + 3y
x − 2y = −4
Now we can multiply equation B by -5 to eliminate the x variable in both equations.
Add them together;
5x = 8 + 3y
-5x + 10y = 20
Then add both of them A + B:
-5x + 10y + 5x - 3y = 20 + 8
7y = 28
y = 4
To solve for x;
5x = 8 + 3y
5(x) = 8 + 3(4)
x = 4
Hence, the temperature of City A and City B on that day was 4° C respectively.
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Answer:
B. City A was 4° C, and City B was 4° C.
Step-by-step explanation:
It is right i did it on the test
Pls answer this is in khan academy pls answer fast rapidly
Answers
The required place values in the chart are as Hundred: 9, Tens: 5, Ones: 0, Tenths: 0, Hundredths: 4, and Thousandths: 8. The number in standard form is 950.048.
The number is given in the question as:
(9 × 100) + (5 × 10) + (4 × 1/100) + (8 × 1/1000)
900 + 50 + 4/100 + 8/1000
1040 + 1/25 + 1/125
118756/125
950.048
As per the requierd place values in the chart are:
Hundred: 9
Tens: 5
Ones: 0
Tenths: 0
Hundredths: 4
Thousandths: 8
Now, the number in standard form is 950.048.
Thus, the required place values in the chart are as Hundred: 9, Tens: 5, Ones: 0, Tenths: 0, Hundredths: 4, and Thousandths: 8. The number in standard form is 950.048.
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ILL GIVE BRAINLY AND 10 PONITS Which inequality matches the graph?
Answers
Answer: not 100% but i think its A
Step-by-step explanation:
The Garcias bought a $328,000 house. They made a down payment of $49,000 and took out a mortgage for the rest. Over the course of 15 years they made monthly payments of $2354.37 on their mortgage until it was paid off. What was the total amount they ended up paying for the house (including the down payment and monthly payments)? $0 (b) How much interest did they pay on the mortgage? $0 (a) t 5
Answers
Answer:
328,000-49,000= 279000
the amount of mortgage they paid
15 x 2354.37= 35315.55
Step-by-step explanation:
Each student in Ms. Lee's class is either a junior or a senior. Ms. Lee took some students from her class on a field trip. Of the 18 juniors in her class, 5/6 went on the trip, and 17 seniors from her class also went on the trip.
Use this information to answer the questions below.
If not, enough information is given to answer a question, click on "Not enough information."
(a) How many juniors from the class did not go on the field trip?
(b) How many juniors from the class went on the field trip?
(c) How many students from the class did not go on the field trip?
Answers
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is each student in Ms. Lee's class is either a junior or a senior. Ms. Lee took some students from her class on a field trip. Of the 18 juniors in her class, 5/6 went on the trip, and 17 seniors from her class also went on the trip.
[A] - Juniors that did not went are -
18 - (5/6 x 18)
18 - 15
3
[B] - Juniors that went are -
(5/6 x 18)
15
[C] - Not enough information
Therefore -
3 Juniors that did not went to trip.15 Juniors went to trip.Not enough informationTo solve more questions on equation modelling, visit the link below-
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What is the test statistic for a hypothesis test where H0: μ=12.5, x¯¯¯=14.1, s=2.7, and n=12? Responses
Answers
The test statistic for the hypothesis test using the parameters is 2.05
A test statistic is used to access how consistent sample data are with the null hypothesis in a hypothesis test.
How to calculate test hypothesis of given parameters?
Using the parameters
Hₙ: ц=12.5, x=14.1, s=2.7, and n=12
The test statistic (t) is given by the formula
t=[tex]\frac{x-U}{s/\sqrt{n} }[/tex]
Substituting the given parameters;
t=[tex]\frac{14.1-12.5}{2.7/\sqrt{12} }[/tex]
t=[tex]\frac{1.6}{2.7/3.46}[/tex]
t=[tex]\frac{1.6}{0.78}[/tex]
t=2.05
This figure is round up to 2 decimal places
The test statistic using the parameters is 2.05
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need help than you pls
Answers
The number of pupils altogether that said cola was their favorite is 26.
From the question:
The total number in pupils in the class = 60
Number of Boys in the classroom =32
Number of Girls in the classroom=Total number of pupils - Number of Boys in the classroom
Number of Girls in the classroom= 60-32
= 28
Number of Boys that like Cola only= 12
Number of Boys that like water best = 4
Number of Girls that like water best = 9
The number of pupils altogether that said Milk was their favorite =21
The number of pupils altogether that said Water was their favorite = 9 boys+ 4girls
The number of pupils altogether that said Water was their favorite =13
Thus,
The number of pupils altogether that said cola was their favorite =Total number of pupils -The number of pupils altogether that said Water was their favorite - The number of pupils altogether that said Milk was their favorite
= 60 - 21 - 13
=26
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WILL ASSIGN BRAINLIEST
determine the quadratic function of the form f(x)=a(x-h)^2+k
Whose graph is given below
Graph shows -3,8 and 0,-19
Answers
The quadratic function of the graph is f(x) = [tex]-3(x+3)^2+8[/tex]
The coordinates of the vertex of the graph = (-3, 8)
The coordinates of the point on the parabola = (0, -19)
The quadratic function of the form
f(x) = [tex]a(x-h)^2+k[/tex]
Where (h, k) is the coordinates of the vertex of parabola
y = [tex]a(x-(-3))^2+8[/tex]
y = [tex]a(x+3)^2+8[/tex]
The coordinates of the point = (0, -19)
-19 = [tex]a(0+3)^2+8[/tex]
Take the square of the number
-19 = a × 9 +8
Multiply the terms
-19 = 9a + 8
9a = -19 - 8
Subtract the terms
9a = -27
a = -27 / 9
Divide the terms
a = -3
Hence, the quadratic function of the graph is f(x) = [tex]-3(x+3)^2+8[/tex]
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If V is an independent variable and W is a variable that depends on V which of the following could be a function notation representations of W select all that apply …
Answers
The function notations that could represent the variable, w, are:
f(v) = 2v - 1
f(v) = 1 - 8v
What are the Variables of a Function?For example, if we are given the function notation as f(b) = b, where a and b are the variables, it means that:
b is the independent variablea is the dependent variable, which is equivalent to f(b)The value of f(b) is dependent on the value of b.In the same vein, if v is an independent variable and w is a dependent variable, it means that:
w which is the dependent variable is equivalent to f(v)
The value of f(v) is dependent on the value of v.
The function notation can therefore be:
f(v) = 2v - 1
f(v) = 1 - 8v
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x is rounded to 1 decimal place is 3.7
Write down the error interval for x.
Answers
The error interval for x will be 3.65<x<3.75 rounded to 1 decimal place.
What is interval notation?It is defined as the representation of a set of values that satisfy a relation or a function. It can be represented as open brackets and close brackets the close brackets mean the value at the close bracket is also included, and the open bracket means the value at the open bracket does not include.
It is given that, the number is 3.7.
We have to find the error interval for x rounded to 1 decimal place for the number 3.7.
Thus, the error interval for x will be 3.65<x<3.75 rounded to 1 decimal place.
When a number has been rounded or truncated, error intervals are the upper bounds of accuracy. They represent the range of values that a number might have had before being rounded or truncated.
This is so that we may round the range of 3.65 to 3.75 to one decimal place, and as 3.74 or less is considered to be below 3.75, rounding to one decimal place gives us 3.7.
Thus, the error interval for x will be 3.65<x<3.75 rounded to 1 decimal place.
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K
A car rental agency rents 440 cars per day at a rate of $40 per day. For each $1 increase in rate, 10
fewer cars are rented. At what rate should the cars be rented to produce the maximum income? What
is the maximum income?
...
The rental agency will earn a maximum income of $
when it charges $
per day.
Time Remaining: 01:44:21
Next
Answers
The maximum income is Maximum cost C is $19740
What is the maximum income?Let Q represent the number of cars rented per day and P the rate.
To form the demand equation;
Q = a - bP
A car rental agency rents 440 cars per day at a rate of $40 per day
440 = a - 40b ......1
For each $1 increase in rate, 10 fewer cars are rented
(440-10) = a - (40+1)b
430 = a - 41b ......2
Subtracting equation 2 from 1
10 = b
From equation 1;
440 = a - 10(40)
a = 440 + 400 = 840
So;
Q = 840 - 10P
Cost C = Q×P = P (840-10P) = 840P - 10P^2
Maximum cost is at dC/dP = 0
dC/dP = 840 - 20P = 0
P = 840/20 = $42
Maximum cost C is
C = P(840-10P) = 42(840-370) = 42 × 470 = $19740
The maximum income is Maximum cost C is $19740
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Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 8.
27y= x³, y=0, x=6
Answers
The volume V generated by rotating the region bounded by the given curves is V = 960π/7.
Given:
the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 8.
27y= x³, y=0, x=6
dV = π(8^2-(8-y)^2)dx
y = [tex]x^{3} /27[/tex]
= π*([tex]8^2-(8-(x^3/27)^2)dx[/tex]
= π(64 - 64+16*[tex]x^3/27[/tex]-[tex]x^6/729[/tex])dx
[tex]= \int\limits^6_0 {16x^3/27-x^6/729} \, dx[/tex]
= π(4.[tex]6^6/27 - 6^7/7.729[/tex])
= π(5184/27 - 384/7)
= π(960)/7
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Wyatt was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 19%. What number should he multiply the cost of the meal by to find the total plus tip in one step?
Answers
Answer:
The cost of the meal should be multiplied by 1.19.---------------------------------------
Let the cost of the meal be x.
Adding a tip of 19%:
x + 19% = x + 0.19x = x (1 + 0.19) = 1.19xAnswer:
Wyatt should multiply with 1.19.
Step-by-step explanation:
Forming the expression,
→ 1 + (19% of 1)
Now the required number is,
→ 1 + (19% of 1)
→ 1 + ((19/100) × 1)
→ 1 + (19/100)
→ 1 + 0.19 = 1.19
Hence, required number is 1.19.
Zoe can rent space for her gelato stand for $275.50 per month for the year, or for
$575.25/month for only the four summer months. She is debating whether she should
run the business all year, or only during the summer months. She knows that after all
other expenses, not considering rent, she makes a profit $700.00/month for each of the
summer months, but only $150.00 for each of the rest of the months. She is paying
herself a wage in her expenses.
Answers
II. Reacting Metals with Solutions of Metallle Salts
appearance of 0.5 M Al2(SO4)3 :
metal description of reaction mixture 5 min did reaction occur?
after mixing with 0.5 M Al2(SO4)3
Fe
Cu
Answers
From the position of the metals on the electrochemical series, there would be no reaction of the solution with iron and copper.
What is the reactivity?We know that a reaction is said to have occurred between a metal and a solution if the metal is able to displace the cation that is in the solution. This displacement would in turn have a lot to do with the position of the metals in the electrochemical series.
Given that iron and copper are all less than aluminum which is the cation in the solution in the electrochemical series then it would not be possible for these metals to displace it in solution thus there would be no reaction.
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Solve the system of equations by the substitution method.
Answers
The system of equations given have infinite number of solutions
System of EquationA system of equations, also known as a set of simultaneous or an equation system, is a finite set of equations for which we sought the common solutions. A system of equations can be classified in a similar manner as single equations.
In the equations given;
4x + y = 10 ...eq(i)
16x + 4y = 40 ...eq(ii)
Solving both equations;
The value of x and y is
y = 10 - 4x
This shows that the system has infinite number of solutions.
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Multiple Choice You are taking guitar •lessons. The cost of the first lesson is twice the cost of each additional lesson. You spend $360 for 8 lessons. How much did the first lesson cost'7 A $40 (C $50 (E $80 B) $45 (D $60
Answers
Answer:
E $80
Step-by-step explanation:
This would be like paying for 9 lessons
9 x 40 is 360
The first lesson costs twice as much, so it costs 80.
Jim is a preschool teacher. While he was getting ready for his class's snacktime, he put 6 carrots on each plate. If he used 48 total carrots, which equation could be used to determine the number of plates, p, that he used?
Answers
The equation that can be used to determine the number of plates used is p = 48 / 6.
What is the equation?In order to determine the number of plates that Jim used, divide the total number of carrots by the number of carrots used for each plate.
Division is the mathematical process used to put a number into equal groups using another number. The sign that represents division is ÷.
Total number of plates used = total number of carrots / carrot used per plate
Total number of plates used = 48 / 6
Total number of plates used = 8
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Which of the following is true
Answers
Answer:
The answer is answer choice E.
Step-by-step explanation:
Complementary angles add up to 90 degrees, while supplementary angles add up to 180 degrees
Given the function h(x) = -x² - 9x + 23, determine the average rate of change of the function over the interval -8 ≤ x ≤ -2
Answers
The average rate of change of the function h(x) = -x² - 9x + 23, over the interval -8 ≤ x ≤ -2 is 1
What is average rate of change?
The average rate of change of function f over the interval, a ≤ x ≤ b is given by this expression: f(b) - f(a) / b - aIt is a measure of how much the function changed per unit, on average, over that interval.It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.Let's find the average rate of change of h(x) = -x² - 9x + 23 in the interval of -8 ≤ x ≤ -2
h(-8) = -(-8)² - 9(-8) + 23
= -64 + 72 + 23
= 31
h(-2) = -(-2)² - 9(-2) + 23
= -4 + 18 + 23
= 37
Average rate of change = f(b) - f(a) / b - a
= h(-2) - h(-8)
= 37 - 31 / -2 - (-8)
= 6 / -2 +8
= 6/6
= 1
Here, the average rate of change of the function h(x) = -x² - 9x + 23, over the interval -8 ≤ x ≤ -2 is 1.
To know more about rate of change check the below link:
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The mean points obtained in an aptitude examination is 159 points with a standard deviation of 13 points.
What is the probability that the mean of the sample would differ from the population mean by more than 1 point if 60 exams are sampled? Round your answer to four decimal places.
don't for get to round
Answers
Answer:
[tex]0.4514 = 45.14%[/tex]
Step-by-step explanation:
Use the equation:
[tex]Z=\frac{X-u}{a}[/tex]
Given:
[tex]u=159, o=13,n=60,s=1.68[/tex]
This is the pvalue of Z when [tex]X = 159+1 = 160[/tex] subtracted by the pvalue of Z when [tex]X = 159-1 = 158[/tex]
[tex]x = 160[/tex]
[tex]Z=\frac{X-u}{o}[/tex]
Central Limit Theorem applied:
[tex]Z=\frac{X-u}{o}[/tex]
[tex]Z=\frac{160-159}{1.68}[/tex]
[tex]Z=0.6[/tex]
[tex]Z=0.6(\text{P-value}:0.7257)[/tex]
[tex]X=150[/tex]
[tex]Z=\frac{X-u}{o}[/tex]
[tex]Z=\frac{158-159}{1.68}[/tex]
[tex]Z=-0.6[/tex]
[tex]Z=-6(\text{P-value}:0.2743[/tex]
[tex]0.7257-0.2743=0.4514[/tex]
This means that there is a 45.14% probability.
Select the correct answer.
What is this expression in simplified form?
√32.5√2
40
5√34
12
8
Answers
Answer:
8
Step-by-step explanation:
Multiply the two radicals and then square it.
Simplify
√ 96x³
please help
Answers
Answer:
4x[tex]\sqrt{6x}[/tex]
Step-by-step explanation:
This can be written:
[tex]\sqrt{(3)(2)(2)(2)(2)xxx}[/tex] Pull out all the pairs. There are 2 pairs of 2 and 1 pair of x's
(2)(2)x[tex]\sqrt{(3)(2)x}[/tex] Clean up
4x[tex]\sqrt{6x}[/tex]
