Answer:
See explanation below
Explanation:
1) Option C is correct.
The average difference in husband and wife marriage ages in Cumberland County; μd
2) Option D is correct.
Null: The average difference in marriage ages in Cumberland County is 0.
Alt: The average difference in marriage ages is greater than 0.
3) Option A is correct
Null: μd = 0
Alt: μd > 0
4) Given:
n = 24
d' = 1.875
Sd = 4.812
Find test statistic:
[tex] t = \frac{d'}{Sd/\sqrt{n}} [/tex]
[tex] = \frac{1.875}{4.812/\sqrt{24}} [/tex]
[tex] t = 1.909 [/tex]
Degree of freedom, df = n - 1 = 24 - 1 = 23
Pvalue [tex] = (t_2_3 > 1.909) = 0.0344 [/tex]
Pvalue = 0.0344
Significance level = 0.05
5) Since p value is less than significance level, reject null hypothesis H0
Hence, there is strong evidence that, on average, husbands are older than their wives in Cumberland County
Answer:
CDA
Step-by-step explanation:
Dude trust me...
please tell ans of attached photo
Answer:
192 m^2.
Step-by-step explanation:
We can split this up into 3 rectangles:
Area of the bottom rectangle = 27 * (9-3)
= 27 * 6 = 162 m^2.
Area of rectangle on the left = (18-6)*2
= 24 m^2
Area of small rectangle on the right = 3*2
= 6 m^2
Total area = 162+24+6
192 m^2.
Using a Graph to Find Positive or Negative Intervals
Answer:
Step-by-step explanation:
The second is correct
f(x) <0 on ( _ infinit, -2.7) and ( -1, 0.8)
Quadrilateral DEFG is rotated 180° about the origin to create quadrilateral D'E'F'G'. In which quadrant does G' lie? A. I B. II C. III D. IV
Answer:
B. II
Step-by-step explanation:
G is in quadrant IV. The quadrant that is across the origin from that is quadrant II.
G' will lie in quadrant II
Answer:
B. 11
Step-by-step explanation:
The following display from a graphing calculator presents the least-squares regression line for predicting the price of a certain commodity (y) from the price of a barrel of oil (x).
Y = a + bx
a = 4.95
b = 0.29
r2 = 0.53045
r = 0.72832
Predict the commodity price when oil costs $107 per barrel.
Answer:
35.98
Step-by-step explanation:
Fill in the numbers and do the arithmetic.
y = a + bx . . . . . . a=4.95, b=0.29, x=107
y = 4.95 + 0.29(107) = 35.98
The predicted price is 35.98.
can someone help me solve this problem
Answer:
D
Step-by-step explanation:
I need help fast this is my summer packet
Answer:
40 miles per hr.
Step-by-step explanation:
alll u have to do is divide the number of miles by the hrs.
ex.80/2=40
140/3.5=40
200/8=40
300/7.5=40
Four horizontal forces of magnitudes 1 N, 2 N, 3N and 4N act at a point in the direction whose bearings are 000, 060, 120 and 270 respectively. a Calculate the magnitude of their resultant. b. A 5th horizontal force of magnitude 3 N now acts at the same points so that the resultant of all five forces has a bearing of 090. Find the bearing of the 5th force
Answer:
resultant = 0.356N 202.1°
Step-by-step explanation:
Resultant force = √((x component)² + (y component)²)
X component= 1 cos 90 + 2 cos 30 + 3 cos 30 -4 cos 0
X component = 0 + 1.732 + 2.598 - 4
X component = 0.33
Y component = 1 sin 90 + 2 sin 60 -3sin 60 + 3 sin 0
Y component= 1+1.732-2.598
Y component= 0.134
Resultant = √( (0.33)² +(0.134)²)
Resultant= √(0.1089+0.017956)
Resultant= √ 0.126856
Resultant= 0.3562 N
Tan tita = 0.134/0.33
Tan tita = 0.406
Tita = 22.1°
Tab is positive In the third quadrant and first quadrant but the magnitude of the force lies mainly on the third so resultant = 0.356N 202.1°
For the fifth force.
X component =- 0.356 cos 67.9 +x
X component= -0.134 +x
Y component = 0.356sin22.1 +0
Y component= 0.1334
Tan tita = 0.1334/(-0.134+x)
Tita = tan^-1 0.1334/(-0.134+x)
90 = 0.1334/(-0.134+x)
Tan 90 is undefined so no more solution
If possible, find AB. & State the dimension of the result.
Answer:
Step-by-step explanation:
[tex]A=\begin{bmatrix}0 &0 &5 \\ 0 &0 &-3 \\ 0 &0 &3 \end{bmatrix}[/tex]
[tex]B=\begin{bmatrix}8 &-12 &5 \\ 7 &19 &5 \\ 0 &0 &0 \end{bmatrix}[/tex]
A.B = A × B
[tex]A.B=\begin{bmatrix}0 &0 &0 \\ 0 &0 &0 \\ 0 &0 &0 \end{bmatrix}[/tex]
Dimension of the resultant matrix is (3 × 3)
Jane entered a raffle at a festival and hopes to win a new TV. The odds in favor of winning a new TV are 4/7 . Find the probability of winning a new TV.
Answer:
4/11
Step-by-step explanation:
The probability of winning a new TV is the number of times you will win a TV over the total number of times you try to win a TV. In this case, the odds of winning a new TV are 4/7, or 4 wins every 7 loses. (Odds are probability of success to failure) Therefore, there are 4 wins for every 4 + 7 raffles, or 4/11.
A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60 cm/s. Find the rate which the area within the circle is increasing after
a) 1 second, b) 3 seconds, and c) 5 seconds.
What can you conclude?
Answer:
[tex]\frac{dA}{dt} = 7200\pi t[/tex]
a) [tex]\frac{dA}{dt} = 7200\pi\ cm^2/s[/tex]
b) [tex]\frac{dA}{dt} = 21600\pi\ cm^2/s[/tex]
c) [tex]\frac{dA}{dt} = 36000\pi\ cm^2/s[/tex]
We can conclude that the area of the circle increases faster when the time increases.
Step-by-step explanation:
First let's write the equation for the area of the circle:
[tex]A = \pi*r^2[/tex]
The rate that the radius of the circle increases is 60 cm/s, so we have:
[tex]\frac{dr}{dt} = 60[/tex]
[tex]dr = 60dt \rightarrow r = 60t[/tex]
To find the rate that the area increases, let's take the derivative of the equation of the area in relation to time:
[tex]\frac{dA}{dt} = \pi*\frac{d}{dt} r^2[/tex]
[tex]\frac{dA}{dt} = \pi *\frac{dr^2}{dr} \frac{dr}{dt}[/tex]
[tex]\frac{dA}{dt} = \pi *2r *\frac{dr}{dt}[/tex]
[tex]\frac{dA}{dt} = 2\pi *(60t) *60[/tex]
[tex]\frac{dA}{dt} = 7200\pi t[/tex]
a)
Using t = 1, we have:
[tex]\frac{dA}{dt} = 7200\pi *1 = 7200\pi\ cm^2/s[/tex]
b)
Using t = 3, we have:
[tex]\frac{dA}{dt} = 7200\pi *3 = 21600\pi\ cm^2/s[/tex]
c)
Using t = 5, we have:
[tex]\frac{dA}{dt} = 7200\pi *5= 36000\pi\ cm^2/s[/tex]
We can conclude that the area of the circle increases faster when the time increases.
Deluxe coffee is to be mixed with regular coffee to make at least 5151 pounds of a blended coffee. The mixture must contain at least 99 pounds of deluxe coffee. Deluxe coffee costs $55 per pound and regular coffee $33 per pound. How many pounds of each kind of coffee should be used to minimize costs?
Answer:
9 pounds of deluxe
42 pounds of regular
Step-by-step explanation:
given data
Deluxe coffee mix with regular coffee = 51
mix contains deluxe coffee = 9 pounds
Deluxe coffee costs $5
regular coffee costr = $3
solution
we consider here
deluxe coffee = x lbs
regular coffee = y lbs
and
x+ y ≥ 52
and mixture contains at least 9 pounds of deluxe coffee
so x ≥ 9
and
cost equation will be
cost C = 5x + 3 y
deluxe costs more than regular
and here we want to use as possible as to minimize the cost
so least amount
x + y = 51
x = 9
y = 51 - 9
y = 42
Reflections over the X Axis
y = -✔️X
Domain:
Range:
Find an equation of the tangent line to the curve at the given point. y = x , (16, 4) Step 1 To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equation of the tangent line at the point (16, 4), we know that (16, 4) is a point on the line. So we just need to find its slope. The slope of a tangent line to f(x) at x = a can be found using the formula mtan = lim x→a f(x) − f(a) x − a . In this situation, the function is f(x) = and a =
The question is incomplete. The complete question is:
Find an equation of the tangent line to the curve y = [tex]\sqrt{x}[/tex] at the given point (16,4). To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equation of the tangent line at the point (16,4) we know that (16,4) is a point on the line. So we just need to find its slope. The slope of a tangent line to f(x) at x = a can be found using the formula m tan = lim x↔a f(x) - f(a)/ x - a.
Answer: y = [tex]\frac{x}{8} + 2[/tex]
Step-by-step explanation: The tangent line is a line that intercepts a curve in only one point. The point-slope formula for a line is [tex]y-y_{0} = m(x-x_{0})[/tex], where m is the slope of the line and can be calculated by the first derivative of the given curve. For this case:
y = [tex]\sqrt{x}[/tex]
f'(x) = [tex]\frac{dy}{dx} = \sqrt{x}[/tex]
f'(x) = [tex]\frac{1}{2\sqrt{x} }[/tex]
At point (16,4), the slope will be:
m = f'(16) = [tex]\frac{1}{2.\sqrt{16} }[/tex]
m = [tex]\frac{1}{8}[/tex]
With slope and a point, the line function will be:
[tex]y-y_{0} = m(x-x_{0})[/tex]
y - 4 = [tex]\frac{1}{8}[/tex](x - 16)
y = [tex]\frac{x}{8}[/tex] - 2 + 4
y = [tex]\frac{x}{8}[/tex] + 2
The tangent line to the curve is y = x/8 + 2
PLS HELP (pic included)
hope it helps uh.......
A. Translation: (x,y) → (x – 5,y); Reflection across y-axis
B. Translation: (x,y) → (x,y + 5); Reflection across x-axis
C. Translation: (x,y) → (x,y – 5); Reflection across y-axis
D. Translation: (x,y) → (x,y + 5); Reflection across y-axis
Answer:
Option D
Step-by-step explanation:
Let's choose a point A to understand the transformations given in the picture attached,
Coordinates of A → (2, -1)
Coordinates of image A' → (-2, 4)
From these coordinates of A and A' we can calculate the vertical shift of point A = [4 - (-1)] = 5 units
Rule used for the translation,
(x, y) → (x, y + 5)
A(2, -1) → A"(2, 4)
Followed by the reflection across y - axis,
Rule for the reflection of a point across y-axis,
(x, y) → (-x, y)
By this rule, A"(2, 4) → A'(-2, 4)
Therefore, There is a translation of 5 units upwards and reflection across y-axis.
Option D will be the answer.
Solve the one-variable equation using the distributive property and properties of equality.
-6(2 + a) = -48
What is the value of a?
O a = -6
O a = -3
O a = 5
Са= 6
Hey there! :)
Answer:
Last choice. a= 6.
Step-by-step explanation:
Starting with:
-6(2 + a) = -48
Distribute the -6:
-6(2) -6(a) = -48
Simplify:
-12 - 6a = -48
Add 12 to both sides:
-12 + 12 - 6a = -48 + 12
-6a = -36
Divide both sides by -6:
a = 6. Therefore, the last choice is correct.
Answer:
a = 6
Step-by-step explanation:
Solve the one-variable equation using the distributive property and properties of equality.
–6(2 + a) = –48
What is the value of a?
a = –6
a = –3
a = 5
a = 6
There were 35,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold, nine times as many paperback copies as hardback copies were sold. If a total of 448,000 copies of the novel were sold in all, how many paperback copies were sold
Answer:
3,717,000
Step-by-step explanation:
The calculation of paperback copies is shown below:-
Let us assume hardback copies is x, so paperback copies will be 9x
now the equation is
35,000 + x + 9x = 448,000
10x = 448,000 - 35,000
10x = 413,000
[tex]= \frac{413,000}{10}[/tex]
= 41,300
Therefore, the paperback copies are
= [tex]9\times 41,300[/tex]
= 3,717,000
Hence, the paperback copies is 3,717,000
Add and write the fraction or mixed number in its simplest form: 2/5 + 1/4 + 7/10
Answer:
The LCM of 5, 4, and 10 is 20 so we can rewrite this expression as:
8/20 + 5/20 + 14/20 = (8 + 5 + 14) / 20 = 27 / 20 = [tex]1\frac{7}{20}[/tex]
Adding all the three fractions ,
Simplest form is
[tex]1\frac{7}{20}[/tex]
Given :
[tex]\frac{2}{5}+\frac{1}{4} +\frac{7}{10}[/tex]
Step-by-step explanation:
To add all the fractions , the denominators should be same
Lets find out LCD of 5,4 and 10
[tex]5= 1,5\\4=2,2\\10=5,2\\LCD=5\cdot 2\cdot 2=20[/tex]
Least common denominator = 20
Multiply the first fraction by 4 and second fraction by5 and third fraction by 2 to get same LCD 20
[tex]\frac{2}{5}+\frac{1}{4}+\frac{7}{10}\\\frac{8}{20}+\frac{5}{20}+\frac{14}{20}\\\\\frac{8+5+14}{20}\\\frac{27}{20}[/tex]
We cannot simplify the fraction further . So we write it in mixed form
[tex]1\frac{7}{20}[/tex]
Learn more : brainly.com/question/22881654
Factor completely
7a^2+53a+28
Hello! :)
____________ ☆ ☆____________________
Answer:
(7a+4)⋅(a+7)
Step-by-step explanation:
First you have to multiply... 7x28=196
Now find the factors of 196
Factor: 53
Add the first two terms
Add up the four terms and you get your answer
ANSWER: (7a + 4) • (a + 7)
_____________ ☆ ☆___________________
Hope this helps! :)
By BrainlyMember ^-^
Good luck!
Will give brainliest answer
Answer:
Radius = 6.5cm
Diameter = 13cm
Step-by-step explanation:
The diameter is given (13)
Radius is half the diameter (13/2=6.5)
Answer:
Radius = 13 / 2 = 6.5 cmDiameter = 13 cmExplanation
RadiusThe straight line is drawn from the centre of a circle to a point on its circumference is called radius of the circle. The radius of a circle is half of its diameter.
DiameterThe chord that passes through the centre of a circle is called diameter of circle. Diameter is also called the largest chord of any circle. The length of diameter of a circle is two times it's radius.
Hope this helps...
Good luck on your assignment...
y=-5x-8
y=-2x-6
Round to the nearest hundredth.
(x, y) =
Evaluate geometric series sigma1^20 4(8/9)^n-1
Answer:
32.5861
Step-by-step explanation:
I interpreted it this way:
20 - stop at n = 20 (inclusive)
1 - start at n = 1
4(8/9)^(n - 1) - geometric expression
Kelsey is going to graph the ordered pairs that are represented by this table on a coordinate plane
Answer:
4
Step-by-step explanation:
Since there are 4 columns of x and y values the answer is 4.
Answer:
How many points should appear in Kelsey’s graph Option B
(B) 4
Step-by-step explanation:
I AM GIVING + 20 POINTS !!!!! PLEASE ANSWER SOON!!!!! Which is NOT a good reason to perform step 1 in the solution shown? equation: 4x = 88 step 1: 4x/4 = 88/4 step 2: x = 22 a. divide by 4, because 4 is a factor of 88. b. dividing 4x by 4 isolates x on one side of the equation. c. dividing is the inverse of multiplying d. dividing both sides by 4 keeps the equation balanced
Answer:
c. dividing is the inverse of multiplying because it doesn't really relate the equation like the others do.
what is the remainder when p(x) is divided by (x-3) please help
Answer:
1
Step-by-step explanation:
We will use polynomial remainder theorem or little Bézout's theorem. It states that reminder p(x) divided by (x - a) is p(a). In our case (a = 3) it is p(3) = 1
what is 4 3/4 of rupee 1
Answer:
[tex]\frac{19}{4}=Rs 1[/tex]
[tex]Rs. 1 = 100 paise[/tex]
[tex]\frac{19}{4}=100 paise[/tex]
[tex]4.75=100 paise[/tex]
[tex]\frac{4.75}{100}=paise[/tex]
[tex]0.0475=paise[/tex]
i hope this will help you :)
=1,075
Therefore,
\frac{43}{4} =1,075
Hope it helps you!!!
Plz Mark me as a brailiest
Step-by-step explanation:
The cone in the diagram has the same height and base area as the prism. What is the ratio of the volume of the cone to the volume of the
prism?
base area = B
base area = B
A
1
volume of cone
volume of prism 2
O B.
volume of cone
volume of prism 3
C.
volume of cone 2
volume of prism 3
OD.
volume of cone
volume of prism
= 1
E.
volume of cone
volume of prism 2
الف لا
Answer:
C.
volume of cone 2
volume of prism 3
OD.
Step-by-step explanation:
Answer:
I just took the test and the correct option is B.
Step-by-step explanation:
Drag each description to the correct location on the chart. In a large single-elimination basketball tournament, the first round of play begins with 64 teams. In each successive round, the number of teams remaining in the tournament is reduced by half. This relationship can be described by the following exponential function. When this relationship is graphed, determine the quantity and axis that will represent each of the variables. x-axis y-axis Teams Remaining Tournament Round
Answer: Left column x- axis
Right column : Tournament round
Left column: y-axis.
Right column: number of teams remaining
Step-by-step explanation:
You expect the y -value, teams remaining to decrease as you go from the first round to the last round in the x-values.
After the first round only 32 teams will left.
After the second round 16 teams will left.
After the third round 8 teams will left.
After the fourth round only 4 teams will left.
After the fifth round only 3 teams will left.
After the sixth round only 1 team will left.
What is independent and dependent variable?
If x and y are two variables in an algebraic equation and every value of x is linked with any other value of y, then 'y' value is said to be a function of x value known as an independent variable, and 'y' value is known as a dependent variable.
What is an exponential function?An exponential function is a mathematical function in the form f(x) = [tex]a^{x}[/tex] where x is a variable, and a is a constant called the base of the function.
According to the given question
We have an exponential function
[tex]f(x) = 64(\frac{1}{2} )^{x}[/tex]
And y-axis represents the teams remaining and x axis represents the tournaments round
Since, here the values of x are independent variables and values of y are dependent variables.
Now for the
Tournament round 1 ,
y = f(1) = [tex]64(\frac{1}{2} )=32[/tex]
⇒ 32 teams are remaining
Tournament round 2
[tex]y = f(2) = 64(\frac{1}{2}) ^{2}[/tex]
⇒ y = 16, only 16 teams are remaining
For round 3
[tex]y = f(3) = 64(\frac{1}{2}) ^{3} =8[/tex]
For round 4
[tex]y = f(4) = 64(\frac{1}{2} )^{4}= 4[/tex]
⇒ Only 4 teams are remaining
For round 5
[tex]y = f(5) = 64(\frac{1}{2} )^{5} = 2[/tex]
⇒ only 2 teams are remaining
For round 6
[tex]y = f(6) = 64(\frac{1}{2}) ^{6}=1[/tex]
⇒ only one team is remaining
By using these parameters we will plot a graph for tournament rounds .
Learn more about the exponential function here:
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In quadrilateral ABCD, AD || BC
What must the length of segment AD be for the
quadrilateral to be a parallelogram?
B
8 units
O 16 units
3x + 7
5x - 9
31 units
62 units
С
D
Answer:
31 units
Step-by-step explanation:
I just did it
The length of segment AD must be 31 units for ABCD to be a parallelogram.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Now, When the figure is a parallelogram, opposite sides have the same measure:
That is,
⇒ AD = BC
Plug the given values we get;
⇒ 3x +7 = 5x -9
⇒ 16 = 2x
⇒ 8 = x
Hence, Use this value of x in the expression for AD to find its required length:
AD = 3(8) +7 = 24 +7
AD = 31 . . . . units
Thus, The length of segment AD must be 31 units for ABCD to be a parallelogram.
Learn more about the rectangle visit:
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3x−1−(x+3)=1 PLEASE HELP IDK HOW TO DO IT
Answer:
x = 5/2
x = 2 1/2
x = 2.5
Step-by-step explanation:
3x - 1 - (x + 3) = 1
3x - 1 - x - 3 = 1
2x - 1 - 3 = 1
2x - 4 = 1
2x = 1 + 4
2x + 5
2x = 5
x = 5/2 → 2 1/2 → 2.5 ( can be written in any of these forms depending on what you need to do)
Hope this helped! :)
Answer:
x = 5/2Step-by-step explanation:
3x−1−(x+3)=1
First remove the bracket
That's
3x - 1 - x - 3 = 1
Group the constants at the right side of the equation
That's
3x - x = 1 + 1 + 3
Simplify
We have
2x = 5
Divide both sides by 2
That's
2x / 2 = 5/2
x = 5/2Hope this helps you