Answer:
Shorter
Step-by-step explanation:
When given the population standard deviation, σ, the normal distribution should be used. However, if the sample standard deviation is being used, the t distribution should be used. The implication of using a normal distribution in Lorraine's case when using the sample standard deviation which requires the use of the T - distribution is that, the interval beacjbea smaller as the critical value obtained is smaller than the T critical value with degree of freedom, n - 1 ; 41 - 1 = 40
At α = 0.05 ;
Tcritical, df = 40 = 2.02
Zcritical = 1.96
The ages of Raju and Ravi arw the ratio of their ages will be 4:5 . Find their present ages.
Answer:
Step-by-step explanation:
The ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages.
Ratio of ages at present = 3:4
Age of Raju = 3x
Age of Ravi = 4x
Age after four years:
Raju's age = 3x + 4
Ravi's age = 4x + 4
Ratio of ages after four year = 4 : 5
3x +4 : 4x + 4 = 4 : 5
(4x + 4)*4 = (3x + 4)*5
16x + 16 = 15x + 20
Subtract 16 from both sides
16x = 15x + 20 - 16
16x = 15x + 4
Subtract 15x from both sides
16x - 15x = 4
x = 4
Age of Raju = 3x = 3*4 = 12 years
Age of Ravi = 4x = 4*4 = 16 years
hello there i have no clue how to graph this function, f (x) =3/2 (2) ^x
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle.
The inequality x ≤ -8 would represent which of the following values?
{8, 5, 0}
{-6, -7, -8}
{-10, -9, -8}
None of these choices are correct.
Answer:
{-10. -9, -8}
Step-by-step explanation:
x ≤ -8 would be all values of x less than or equal to -8
x = -8, -9, -10
Consider the line y=7x-8.
Find the equation of the line that is parallel to this line and passes through the point (6, – 4).
Find the equation of the line that is perpendicular to this line and passes through the point (6, - 4).
Answer:
a). y = 7x - 46 b). y = -1/7x - 22/7
Step-by-step explanation:
a). y = 7x + b
-4 = 7(6) + b
-4 = 42 + b
-46 = b
y = 7x - 46
b). y = -1/7x + b
-4 = -1/7(6) + b
-4 = -6/7 + b
-22/7 = b
y = -1/7x - 22/7
Which transformations are needed to change the parent sine function to the sine function below? On a coordinate plane, a curve crosses the y-axis at y = 1.5. It has a minimum at y = 0.5 and a maximum at y = 1.5. It goes through one cycle at 4 pi. Vertical compression of One-half, horizontal stretch to a period of 4 pi, vertical shift of 1 unit up, phase shift of Pi units left vertical stretch of 2, horizontal compression to a period of 4 pi, vertical shift of 2 units up, phase shift of Pi units left vertical stretch of One-half, horizontal compression to a period of 2 pi, vertical shift of 1 unit up, phase shift of Pi units left vertical compression of One-half, horizontal stretch to a period of 2 pi, vertical shift of 1 unit down, phase shift of Pi units left
Answer:
Vertical compression of One-half, horizontal stretch to a period of 4 pi, vertical shift of 1 unit up and a phase shift of pi units left
Step-by-step explanation:
The parameters of the sine function are;
The point the curve crosses the y-axis (at x = 0) = 1.5
The minimum of the curve is y = 0.5
The maximum is y = 1.5
The time it goes through one cycle = 4 pi
The general form of the sine function is presented as follows;
y = A·sin(B·(x - C)) + D
From the given information, we have;
A = 0.5
The period = 4·π = 2·π/B
∴ B = 1/2
At x = 0, y = max, therefore, B·(x - C) = (1/2)·(0 - C) = π/2
∴ C = -π
D = 1
Therefore, the given sine function can be presented as follows;
y = 0.5·sin((1/2)·(x - π)) + 1
Therefore, the transformation needed to change the parent sine function to the given sine function are
Vertical compression of One-half, horizontal stretch to a period of 4 pi, vertical shift of 1 unit up and a phase shift of pi units left
Answer:
The answer is A
Step-by-step explanation:
[tex]solve : - \\ \\ ( \sqrt{100 - 64)} [/tex]
Answer:
[tex] \sqrt{100 - 64} \\ = 36 \\ = {6}^{2} [/tex]
A Solve the equation 2y2 – 7y – 4 = 0 . b Use your answer to part a to solve the equation 2(2x)2 _ 7(2x) _ 4 = 0. [5] 9
Answer:
[tex](a)\ y = 4\ or\ y = -\frac{1}{2}[/tex]
[tex](b)\ x = 2 \ or\ x = -\frac{1}{4}[/tex]
Step-by-step explanation:
Solving (a)
[tex]2y^2 - 7y - 4 = 0[/tex]
Expand
[tex]2y^2 +y - 8y - 4 = 0[/tex]
Expand
[tex]y(2y + 1) -4(2y + 1) = 0[/tex]
Factor out 2y + 1
[tex](y -4)(2y + 1) = 0[/tex]
Split
[tex]y - 4 =0\ or\ 2y + 1 = 0[/tex]
Solve:
[tex]y = 4\ or\ y = -\frac{1}{2}[/tex]
Solving (b):
[tex]2(2x)^2 - 7(2x) - 4 = 0[/tex]
Compare the above with the equation in (a)
[tex]2y^2 - 7y - 4 = 0[/tex]
We have:
[tex]2x = y[/tex]
So:
[tex]2x = 4 \ or\ 2x = -\frac{1}{2}[/tex]
Solve for x in both cases
[tex]x = 2 \ or\ x = -\frac{1}{4}[/tex]
Given statements:
If a shape is a rhombus, then the diagonals are perpendicular.
A square is a rhombus.
What is a logical conclusion from the given statements?
OA. The sides of a square are perpendicular.
OB. The diagonals of a square are perpendicular.
OC. A rhombus is a square.
OD. The diagonals of a square are not perpendicular.
Answer:
B
Step-by-step explanation:
if each square is 2cm long then the perimeter is
Answer:
for each square the perimeter would be length times width. so 2x2 =4
Now if there are multiple squares then the answer would be different. but 4 is the answer for the individual square.
Cual es!!! Es examen ayudaaaaa
hello babyyy hpi how you
The given equation has been solved in the table. Step Statement 1 1 –7n + 11 = -10 2. -7n + 11 – 11 = -10 – 11 3 -7n = -21 4 = = =21 .In -7 -21 __7 5 n = 3 Use the table to complete each statement. In step 2, the In step 4, the property of equality was applied. property of equality was applied.
Answer:
In step 2, the subtraction property of equality was applied
In step 4, the division property of equality was applied
Step-by-step explanation:
what are evidence that the himalayas mountains are still rising
Answer:
The Himalayas are still rising by more than 1 cm per year as India continues to move northwards into Asia, which explains the occurrence of shallow focus earthquakes in the region today. However the forces of weathering and erosion are lowering the Himalayas at about the same rate.
Step-by-step explanation:
we can tell that the himalayas are still rising because of the movement of india northwards into asia,so the more india moves to the north the more the himalayas rise by more than 1cm.
Find a ratio equivalent to the given ratio 3/10
Answer:
6/20
Step-by-step explanation:
3/10*2/2=6/20
hope it helped, please mark me brainliest.
BRAINLIEST FOR EXPLANATION AND STEP BY STEP. (One question)
1) In a right triangle, the side adjacent to the 25 degree angle is 15cm long. What is the length of the side opposite the 25 degree angle to the nearest centimeter?
MY QUESTIONS:
what is the question asking for? And where is the 25 degree in a right triangle??
PLS HELP! :))
Answer:
Step-by-step explanation:
Draw a right triangle with the following conditions.
Make one of the acute angles come out to your right.
The adjacent side should be one of the sides that makes up the acute angle you just drew.
The adjacent side is also horizontal.
The other side is vertical at the left end point of the 15 cm side
The right angle is made by the two sides you have already.
Join the vertical end point to the horizontal endpoint not part of the right triangle.
Label the left side of the horizontal line as 25 degrees.
You are looking for the vertical line length.
The vertical line divided by the horizontal line length = tan(25)
vertical / 15 = tan(25) Multiply both sides by 15
vertical = 15 * tan(25)
vertical = 15 * 0.4663
vertical = 6.995
Answer:
7 cm approximately
Step-by-step explanation:
A right triangle means one of the angles is 90 degrees. It tells one of the other angles is 25 degrees. It doesn't matter which one you call 25 degrees, just don't call the right angle 25 degrees:p.
We are given the adjacent side to 25 degrees. This is the side helping to create the angle whose measurement is 25 degrees. The other side helping to create the angle is the hypotenuse.
We are asked to find the opposite side to the 25 degree angle.
Since we are given the 25 degree angle, the adjacent side measurement=15 cm, and we are asked to find the opposite side measurement=x, we should use tangent ratio.
I like to refer to the acronym to help me remember which trig ratio to use: Soh Cah Toa.
So we need to solve tan(25)=x/15.
We can do this by multiplying both sides by 15 giving us 15tan(25)=x.
Now we punch it into our calculator giving us 6.995 cm approximately.
Round your answer to one decimal places where necessary. Please give steps.
4/3 x 3.14 x 2.25 = ?
Answer:
4/3 x 3.14 x 2.25=9.42
Hope This Helps!!!
Answer:
9.4
Step-by-step explanation:
[tex] \sf \frac{ \bold{4 }}{ 3 } × 3.14 × \underline{2.25}[/tex]
Step 1 :- Multiply decimal by the number. So, that the results equals whole number.
[tex] \sf \frac{ \underline{ 4 }}{ 3 } \\ [/tex] × 2.25 × 3.14 .
[tex] \sf \frac{9}{ 3 } \\ [/tex] × 3.14
Step 2 :- Divide the fraction.
= 3 × 3.14.Step 3 :- Multiply both .
= 9.42.Round to one decimal place :- 9.4
Evaluate the expression, m" ifm = 8 and n = 3.
Answer:
512
Step-by-step explanation:
8^3 = 512
.................
Answer:
512
Step-by-step explanation:
Given
[tex]m^{n}[/tex] ( substitute m = 8, n = 3 into the expression
= 8³
= 8 × 8 × 8
= 64 × 8 = 512
Someone tell me where everyone is going right please !!
Answer:
1) -4(3-5x) >= –6x+9
–12+20x >= -6x+9
The choose (D)
2 ) The choose (A)
3) The choose (A) step 1
4) 1/2(n-4)-3=3-(2n+3)
n=2
The choose ( B)
5) 2.5 (5x-4)=10+4(1.5+0.5x)
x=2
The choose (C)
1. -12 + 20 > -6x + 9
2. simplify by combining like terms
3. step 1
4. n=2
5. 2
Which of the following sampling methods are biased?
systematic random sample
voluntary response sample
convenience sample
simple random sample
Answer:
convenience sample is biased because you're only collecting the samples from places that are expedient, but doesn't necessarily represent the population
Si A es tu edad, la tasa de pulsos máxima que deberías mantener durante actividades aeróbicas es de 0.88 (220-A). ¿Cúal es la tasa de pulsos máxima que deberías mantener si tú estuvieras en el rango de los 20 años?
Respuesta:
176
Explicación paso a paso:
Dado :
La frecuencia máxima del pulso que se debe mantener durante las actividades aeróbicas viene dada por:
0,88 (220-A); donde A = edad
Para una persona de 20 años
Supongamos que la edad es de 20 años; A = 20
Poniendo A = 20 en la ecuación;
0,88 (220 - A); A = 20
Frecuencia de pulso máxima:
0,88 (220 - 20)
0,88 (200)
= 176
La frecuencia de pulso máxima es 176
Module 5: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.
Question: How do you determine whether a system of linear equations has no solution, one solution, or infinitely many solutions? Describe what each type of solutions look like.
Answer:
Step-by-step explanation:
H
What is X if
[-1 -2] +X = [-5 -1]
[4 8] [ 2 1]
A)
[-6 -3]
[6 9]
B)
[-6 -3]
[-2 -7]
C)
[-4 1]
[-2 -7]
Answer:
I think that ans is A.....
I have a lot of algebra problems. Someone help me even with this one please!
Answer:
60
Step-by-step explanation:
Subsitute the number if large vehicles
5x + 10(50) = 800
5x + 500 = 800
5x =300
X =60
Answer:
60
Step-by-step explanation:
Substitute y = 50 into the equation and solve for x
5x + 10(50) = 800 , that is
5x + 500 = 800 ( subtract 500 from both sides )
5x = 300 ( divide both sides by 5 )
x = 60
That is 60 small vehicles were washed in total
In the description of the following experiment, determine the experimental factor. A research team is testing a paste form of a drug to alleviate inflammation. Participants are grouped into Team A and Team B. Team A receives the paste form of the drug. Team B receives a similar paste with no active ingredients.
Answer:
The experimental factor is the drug to alleviate inflammation paste form
Step-by-step explanation:
An experimental factor is an independent variable that is being controlled by the experimenter which are the input values which the experimenter sets specifically
In the given experiment, two teams, Team A and Team B are administered different treatments (inputs)
Team A is administered the paste form of the drug being experimented
Team B is administered a similar paste with no active ingredient
Therefore, the experimental factor is the drug being administered in paste form
On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).
What is the perimeter of rhombus WXYZ?
StartRoot 13 EndRoot units
12 units
StartRoot 13 EndRoot units
20 units
Answer:
[tex]P = 4\sqrt{13}[/tex]
Step-by-step explanation:
Given
[tex]W = (7, 2)[/tex]
[tex]X = (5, -1)[/tex]
[tex]Y = (3, 2)[/tex]
[tex]Z =(5, 5)[/tex]
Required
The perimeter
To do this, we first calculate the side lengths using distance formula
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]
So, we have:
[tex]WX = \sqrt{(5- 7)^2 + (-1 - 2)^2[/tex]
[tex]WX = \sqrt{13}[/tex]
[tex]XY = \sqrt{(3-5)^2 + (2--1)^2}[/tex]
[tex]XY = \sqrt{13}[/tex]
[tex]YZ = \sqrt{(5-3)^2 + (5-2)^2}[/tex]
[tex]YZ = \sqrt{13}[/tex]
[tex]ZW = \sqrt{(7 - 5)^2 + (2 - 5)^2}[/tex]
[tex]ZW = \sqrt{13}[/tex]
The perimeter is:
[tex]P = WX + XY + YZ + ZW[/tex]
[tex]P = \sqrt{13}+\sqrt{13}+\sqrt{13}+\sqrt{13}[/tex]
[tex]P = 4\sqrt{13}[/tex]
Answer:
C on edge 2021
Step-by-step explanation:
I took the cumulative exam
Mrs. Khan purchased 6 sets of dress material costing Rs.1235 each and 5 shirts of Rs.1635 each. How much does she spend for dress materials?
Answer:
Rs. 6175
Step-by-step explanation:
Number of dress materials purchased = 6
Cost of each dress material = Rs.1235
Number of shirts purchased = 5
Cost of each shirt = Rs.1635
How much does she spend for dress materials?
Total cost of dress material = Number of dress materials purchased × Cost of each dress material
= 5 × Rs.1235
= Rs. 6175
Total cost of dress material = Rs. 6175
You go out to lunch with some friends. Your lunch came to $9.76. If you want to leave a 15% tip, how much will you pay in total?
Answer:
1.47
Step-by-step explanation:
9.76/10=10% = 0.976 round to 0.98
5%=0.97/2 = 0.49
add them = 1.47 tip
__1. What is the other term for Q3?
2. What measure of position is divided into four equal parts?
3. How many equal parts is the quartile divided into?
4. How many percentile is equivalent to Q1?
5. What is the other term for Median?
_6. What is the equivalence of D2 to Percentile?
7. What measure of position is divided into 10 equal parts?
_8. What measure of position is divided into 100 equal parts?
9. What is the decile equivalence of P80?
10. What quartile is equivalent to P75?
Answer:
1. The third quartile
2. The quartile
3. Four
4. 25
5. The second quartile, Q₂
6. 20th percentile
7. Decile
8. Percentile
9. D₈
10. The third quartile, Q₃
Step-by-step explanation:
1. The other term(s) for Q₃ is third quartile (or upper quartile). It is the mid point between the distribution's largest number and the median
2. The measure of position divided into four equal parts is the quartile
3. The quartile is the division of the data at three points (Q₁, Q₂, and Q₃) into four equal parts equal parts
4. Q₁, which is the first quartile is equivalent to the 25th percentile
5. The other term for the median is the second quartile, Q₂
6. D₂ which is the second decile (a decile divides the data into 10 equal parts) is equivalent to 20th percentile
7. The decile, D, divides a given data into 10 equal parts
8. The percentile divides a given data into 100 equal parts
9. The decile equivalent to P80, which is the 80th percentile, is D₈
10. The quartile equivalent to P75, which is the 75th percentile or the three quarter mark point of the data is equivalent to the the third quartile, Q₃
Each side of a square office is 3 meters long. It will cost $44.14 per square meter to replace
the carpet in the office. What would be the total cost to replace the carpet?
Answer:
3*3*44.14$
That's the answer
Use a calculator
Can someone help me please?!!!!
Answer: meh
Meh
Step-by-step explanation:
