Answer:
The area of pentagon B is [tex]83\frac{1}{3}\ in^{2}[/tex]
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z-----> the scale factor
x----> perimeter pentagon B
y----> perimeter pentagon A
[tex]z=\frac{x}{y}[/tex]
substitute the values
[tex]z=\frac{25}{15}[/tex]
Simplify
[tex]z=\frac{5}{3}[/tex] ----> scale factor
step 2
Find the area of pentagon B
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z-----> the scale factor
x----> area pentagon B
y----> area pentagon A
[tex]z^{2}=\frac{x}{y}[/tex]
we have
[tex]z=\frac{5}{3}[/tex]
[tex]y=30\ in^{2}[/tex]
substitute and solve for x
[tex](\frac{5}{3})^{2}=\frac{x}{30}[/tex]
[tex](\frac{25}{9})=\frac{x}{30}[/tex]
[tex]x=30*(\frac{25}{9})=83.33\ in^{2}[/tex]
convert to mixed number
[tex]83.33=83\frac{1}{3}\ in^{2}[/tex]
To find the area of pentagon B, we can use the fact that similar polygons have their corresponding sides proportional.
Explanation:To find the area of pentagon B, we can use the fact that similar polygons have their corresponding sides proportional. If the perimeter of pentagon A is 15 in and the perimeter of pentagon B is 25 in, we can set up the proportion:
perimeter of pentagon B / perimeter of pentagon A = corresponding side lengths of pentagon B / corresponding side lengths of pentagon A
To find the corresponding side lengths of pentagon B, we can multiply the corresponding side lengths of pentagon A by the ratio of the perimeters:
corresponding side lengths of pentagon B = corresponding side lengths of pentagon A * (perimeter of pentagon B / perimeter of pentagon A)
Once we have the corresponding side lengths of pentagon B, we can use the formula for the area of a regular pentagon: Area = (1/4) * sqrt(5 * (5 + 2 * sqrt(5))) * s^2, where s is the length of a side. Calculate the area of pentagon B using the corresponding side lengths.
Depending on the day of the week, a border guard searches every nth person coming across the border. Each Tuesday every 7th person is checked. What is the name of this method of sampling?
Convenience Sampling
Systematic Random Sampling
Stratified Random Sampling
Simple Random Sampling
the answer is "Systematic Random Sampling"
It takes Lisa 8 1/4 hours to give to her aunts house and takes Lisa 5 3/4 hours to get to her uncle's house how much farther does Lisa have to drive to get to her aunt's house in her uncle's house
Answer:
if she drove away she would have to drive 14 hours, or if it were i the same direction she would have to drive 2 1/2 hours
Step-by-step explanation:
8 1/4 + 5 3/4 = 14
8 1/4 - 5 3/4 = 2 1/2
Lisa has to drive an extra 2 1/2 hours to get to her aunt's house compared to her uncle's house. This is determined by converting the mixed numbers to improper fractions, subtracting the smaller fraction from the larger one, and simplifying the result.
Explanation:The subject of this question falls under Mathematics, specifically subtraction of fractions. In this question, Lisa takes 8 1/4 hours to get to her aunt's house and 5 3/4 hours to get to her uncle's house. The time difference is the extra distance she must travel to reach her aunt's house compared to her uncle's house.
First, we will convert mixed fractions to improper fractions. 8 1/4 becomes 33/4 and 5 3/4 becomes 23/4.Next, subtract the smaller fraction from the larger one: 33/4 - 23/4 = 10/4.Finally, simplify the resulting fraction to obtain the solution. 10/4 simplifies to 2 1/2.So, Lisa has to drive for an extra 2 1/2 hours to get to her aunt's house as compared to her uncle's house.
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The volume of the cylinder is 5275 ft and the height is 23 find the diameter please explain this is for school tomorrow
[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} V=5275\\ h=23 \end{cases}\implies 5275=\pi r^2(23)\implies \cfrac{5275}{23\pi }=r^2 \\\\\\ \sqrt{\cfrac{5275}{23\pi }}=r\implies 15.144\approx r~\hspace{10em}\stackrel{diameter=2r}{d\approx 30.288}[/tex]
The traffic light at the center of town is green for 45 seconds, then yellow for 5 seconds, then red for 40 seconds, at which point the cycle repeats. If a car approaches the traffic light at a random time, what is the probability that the traffic light will be green?
a. 1/9
b. 1/8
c. 1/2
d. 8/9
Answer:
C, 1/2 of the time.
Step-by-step explanation:
all the seconds added together is 90. 45 is half of 90, so half the time the light will be green, the cars will have a 50% chance of coming up to a green light.
Answer:
C.
Step-by-step explanation:
The wheels on Kiran's bike are 64 inches in circumference. How many times do the wheels rotate if Kiran rides 300 yards?
Answer:
168.75, about 169 times
Step-by-step explanation:
1 yd= 36 in
300 yd= 10800 in
10800 in/ 64 in=168.75
Answer:
169
Step-by-step explanation:
We are given that
Circumference of Kiran's bike wheel=64 in
Kiran rides total distance=300 yards
We have to find number of rotations made by wheel.
We know that
1 yard=36 in
300 yards=[tex]36\times 300=10800 in[/tex]
Number of rotation=[tex]\frac{Total\;distance\;covered\;by\; wheel}{Circumference\;of\;wheel}[/tex]
Number of rotations=[tex]\frac{10800}{64}=168.75\approx 169[/tex]
Hence, the wheel rotate=169 times
Dewight is proving the sum formula for the sine function. He has started his proof, what property should he use to complete the next line?
Answer:
C) the difference identity for the cosine function
Step-by-step explanation:
The last line showing shows the cosine of the difference of two angles. The difference identity for the cosine function would seem to be indicated.
The scatterplot shows pairs of final exam grades (x, y) for a group of students.
Which statement BEST describes the data?
There is no correlation between the hours studied and grades earned.
There is a negative correlation between the hours studied and grades earned.
There is a constant correlation between the hours studied and grades earned.
There is a positive correlation between the hours studied and grades earned.
Please help me out..!!!!!
Answer:
y = 178.3 ft
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan27° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{350}[/tex]
Multiply both sides by 350
350 × tan27° = y, hence
y = 178.3
The volume of a sphere is 2 comma 143.57 m cubed. To the nearest meter?, what is the radius of the? sphere? Use 3.14 for pi.
[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} V=2,143.57 \end{cases}\implies 2143.57=\cfrac{4\pi r^3}{3}\implies 6430.71=4\pi r^3 \\\\\\ \cfrac{6430.71}{4\pi }=r^3\implies \stackrel{\pi =3.14}{\cfrac{6430.71}{4(3.14) }}=r^3\implies 511.9992\approx r^3 \\\\\\ \sqrt[3]{511.9992}\approx r\implies 7.999996\approx r\implies \stackrel{\textit{rounded up}}{8=r}[/tex]
At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least 16 tickets. The system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys. r + f ? 16 4r + 2f ? 40 What is the maximum number of ride tickets she can buy? 4 6 10 12
Answer:
4
Step-by-step explanation:
Here let the number of ride tickets be r, and the number of food tickets be f.
Hence
[tex]r+f\ge16\\4r+2f\le40[/tex]
We first plot the two inequalities on graph as shown in attachment. From the graph we see that the two in-equation meet at (4,12)
Hence we can see that the maximum value of r is 4
Answer:
4
Step-by-step explanation: the maximum number of ride tickets she can buy is 4. so option a is correct
What is an equation for a sine curve with amplitude 2
ANSWER
[tex]y = 2 \: \sin(x) [/tex]
EXPLANATION
A basic sine curve has equation in the form:
[tex]y = a \: \sin(x) [/tex]
Where 'a' is the amplitude.
In this case a=2 because the amplitude is 2.
[tex]y = 2 \: \sin(x) [/tex]
For a transformed sine function, the general equation is:
[tex]y = a \: \sin(bx + c) + d[/tex]
where a=2 is still the amplitude
[tex]y = 2 \: \sin(3x + \pi) [/tex]
This is also a sine function with an amplitude of 2.
Others include:
[tex]y = 2 \: \sin(x + 1) [/tex]
[tex]y = 2 \: \sin(4x - \pi) [/tex]
e.t.c
Mateo wants to make a toy sailboat. He has two pieces of wood to choose from. His first piece of wood is a block that measures 18'' x 10" x 8". It weighs 46.65 lbs. His second piece of wood is a log of wood measuring 21" long, with an average circumference of 25.12". It weighs 39.25 lbs. The sailboat needs to float, but both blocks of wood are denser than wood usually is, and he's not sure either piece of wood will float. He doesn't want to get the water wet before he's applied a sealant, so he isn't willing to just drop them in the water to find out.
2a. Which common solid can he use to represent the block? Which common solid can he use to represent the log? (2 points)
2b. What is the density of the block in pounds per cubic inch? Give the formula for density and show your work. (3 points)
2c. What is the density of the log in pounds per cubic inch? Give the formula for density and show your work. Use 3.14 for π. (Hint: you can determine the radius from the circumference.) (3 points)
2d. Water has a density of about 0.0361 pounds/cubic inch. Anything rarer will float, and anything denser will sink. Which of the pieces of wood are suitable for making a toy boat that will float? (2 points)
Step-by-step explanation:
2a. The block of wood has the shape of a rectangular prism. The log has the shape of a cylinder.
2b. Density is mass divided by volume. We know the mass, but we need to find the volume.
Volume of a rectangular prism is:
V = whl
where w is the width, h is the height, and l is the length
V = (18)(10)(8)
V = 1440 in³
So the density is:
d = 46.65 lbs / 1440 in³
d = 0.0324 lb/in³
2c. Volume of a cylinder is:
V = πr²h
where r is radius and h is height.
The circumference is C = 2πr, so r = C / (2π).
r = 25.12 / (2*3.14)
r = 4.00
V = 3.14 (4.00)² (21)
V = 1055.04 in³
So the density is:
d = 39.25 lb / 1055.04 in³
d = 0.0372 lb/in³
2d. The block is less dense than water; the log is more dense than water. So he should make the boat out of the block.
Which of the following is not an example of exponential growth or decay? A. a t-shirt shrinks by 2% after each wash B. a one time bonus of 10% of a worker’s annual salary C. a yearly pay increase of 3% each year D. a savings account growing by 3% each year
Final answer:
Option B, a one-time bonus of 10% of a worker’s annual salary, is not an example of exponential growth or decay because it does not involve a percentage change being applied repeatedly over time to a changing base amount.
Explanation:
The question asked is: Which of the following is not an example of exponential growth or decay? The options are: A. a t-shirt shrinks by 2% after each wash, B. a one time bonus of 10% of a worker’s annual salary, C. a yearly pay increase of 3% each year, D. a savings account growing by 3% each year. To answer this, we must recognize that exponential growth or decay refers to processes that grow or decrease at a rate proportional to their current size. This means the amount of increase or decrease changes over time, as it is a percentage of an ever-changing base amount.
Options A, C, and D all describe situations where the quantity changes by a fixed percentage over time, indicative of exponential growth (or decay, in the case of shrinking). Option A discusses a t-shirt shrinking by 2% after each wash, meaning each time it shrinks, it does so based on its current size, which is a characteristic of exponential decay. Option C talks about a yearly pay increase of 3% each year, and Option D describes a savings account growing by 3% each year; both are examples of exponential growth. Therefore, the answer is Option B, a one-time bonus of 10% of a worker’s annual salary, as it does not describe a situation where the growth rate is applied over time to an ever-changing base amount.
Suppose you had to decide between an apartment that costs $800/month for a month-to-month contract, or $650/month for an annual contract. The annual contract includes a 2-month early termination penalty if you leave before 12 months. Now, suppose you chose the annual contract. If you leave after 8 months, which option would be the most cost effective?
Answer:
the second one would be more effective because $800*12 will cost a lot more than $650+2 months penalty if u leave
Which system of linear inequalities has the point (3,-2) in its solution set?
A.y < -3
y ≤ 2/3x - 4
B.y > -3
y ≥ 2/3x - 4
C.y < -3
y ≥ 2/3x - 4
D.y > -2
y ≤ 2/3x - 4
(the answers come with graphs but sorry I couldn't find a way to put them all in)
Answer:
Option B.
Step-by-step explanation:
we know that
If a ordered pair is a solution of the system of inequalities
then
the ordered pair must satisfy both inequalities of the system
Verify each case
Case A) we have
The point (3,-2)
Substitute the value of x and the value of y in both inequalities and then compare the results
Inequality 1
[tex]-2< -3[/tex] ----> is not true
therefore
The ordered pair is not a solution of the system A
Case B) we have
The point (3,-2)
Substitute the value of x and the value of y in both inequalities and then compare the results
Inequality 1
[tex]-2> -3[/tex] ----> is true
Inequality 2
[tex]-2 \geq \frac{2}{3} (3)-4[/tex]
[tex]-2\geq -2[/tex] ----> is true
therefore
The ordered pair is a solution of the system B
Case C) we have
The point (3,-2)
Substitute the value of x and the value of y in both inequalities and then compare the results
Inequality 1
[tex]-2<-3[/tex] ----> is not true
therefore
The ordered pair is not a solution of the system C
Case D) we have
The point (3,-2)
Substitute the value of x and the value of y in both inequalities and then compare the results
Inequality 1
[tex]-2>-2[/tex] ----> is not true
therefore
The ordered pair is not a solution of the system D
Answer:
i think it is b as well! on edg
Step-by-step explanation:
Which is a reason to save money regularly?
A. You will always have a steady income source
B. You need access to funds for frivolous spending
C. You can qualify for opportunities that might otherwise be impossible
D. You can pay less with credit purchases
(my answer is D)
Answer:
The answer is C I believe
Answer:
C. You can qualify for opportunities that might otherwise be impossible
A number by which another number is to be divided is called
Answer:
Step-by-step explanation:
If we had a division problem that read "16 divided by 8 equals 2", the 8 would be outside the division sign, the 16 would be under the division sign, and the 2 would be sitting on top of the division sign. The 8 is called the divisor, the 16 is called the dividend, and the 2 is called the quotient.
The answer you want, then, is "dividend"
The number by which another number is divided is called a divisor. This applies to many mathematical operations, including division, multiplication, and calculations involving exponents, such as in scientific notation.
Explanation:A number by which another number is to be divided is called a divisor. When we consider a division operation, we usually think of it as a 'dividend' divided by a 'divisor' equals a 'quotient'. If you take an example of 16 ÷ 4 = 4, here, 16 is the dividend (the number being divided), 4 is the divisor (the number that divides the dividend), and the resulting 4 is the quotient (the result of the division).
Similarly, this concept can be applied to complex mathematical operations such as multiplication and division in scientific notation or logarithmic expressions. For example, in scientific notation, when you want to divide two numbers, you divide the numbers out front and subtract the exponents.
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Kai correctly used the different laws of logarithms to rewrite log27 - log(3/5) -log 5 as one logarithm.
His work is shown here
Step one: Log27-(log3- log5) -log 5
Step two: log (3^3) -log 3+ log 5- log 5
Step three: log (3^3) - log3
Step 4: 3 log3- log 3
Step 5: 2 log 3
Step 6: log (3^2)
Step 7: log 9
In which step(s) did kai apply the difference law for logarithms
A- step 3
B- step 5
C- step 4
D- step 1
Answer:
A
Step-by-step explanation:
Final answer:
In step 3 of Kai's calculations, he applied the difference law for logarithms.
Explanation:
In step 1, Kai applied the difference law for logarithms by subtracting the logarithms of 3 and 5 from the logarithm of 27.
In step 3, Kai further simplified by using the property that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. In this case, he applied this property to rewrite 3^3 as (3^2).
Therefore, the correct answer is Step 3.
plz help I'm lost!!!!!
Answer:
D.
Step-by-step explanation:
A linear function is one that has a constant rate of change.
On table D, we can see that it has a constant rate of +2 as every time x increases by 1, y increases by 2.
Answer:
D
Explanation:
Because linear function is having the same difference or in another way it’s having the same rate of change.
Good luck,!~s
The hypotenuse of a right triangle is 3cm and one of the legs is 1cm. What is the length of the other leg?
A. 4cm
B. Square root 10cm
C. 2cm
D. 2 Square root 2cm
Check the picture below.
A sequence is defined by the recursive formula f (n + 1) = f(n) – 2. If f(1) = 18, what is f(5)?
Answer:
The answer is 10
Step-by-step explanation:
The value of f(5) will be 10 for the given sequence.
What is Sequence?A grouping of two or more items in a logical sequence. the sequential arrangement of two or more items. The sequence is a term used to describe chronological order. You should be familiar with the following four primary categories of sequences: arithmetic sequences, geometric sequences, quadratic sequences, and special sequences. a collection of two or more elements arranged logically. the placement of two or more elements in a particular order. The word "sequence" refers to chronological order. Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four main types of sequences that you should be aware of.
Given, A sequence is defined by the recursive formula f (n + 1) = f(n) – 2. If f(1) = 18.
for n = 1
f(2) = f(1) - 2 = 18 -2 = 16
for n = 2
f(3) = f(2) - 2 = 16 - 2 = 14
for n = 3
f(4) = f(3) - 2 = 14- 2 = 12
for n = 4
f(5) = f(4) - 2 = 12-2 = 10
Therefore, For the above sequence, f(5) will have the value of 10.
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i would appreciate help. tyvm
Answer:
4) reflexive property of congruence
5) SAS theorem
6) property of Congruent triangles
Step-by-step explanation:
Given:
In ΔXYZ, line YW ⊥ XZ
Also XW≅ZW
Now
4) by reflexive property of congruence that states that any line,object or figure is congruent to itself
hence YW≅YW
5) By SAS theorem that states that if the two corresponding sides and the angle between those sides of two triangles are congruent then the two triangles are said to be congruent.
Hence ΔWXY≅ΔWZY
6) By property of Congruent triangles that states that if two triangles are congruent then their corresponding sides are also congruent.
Hence XY≅ZY !
A square has side length of 16.5 in. If the area is multiplied by 9, what happens to the side length?
Answer:
The side length is multiplied by the scale factor of 3, which makes it 49.5
Step-by-step explanation:
The scale factor goes as follows
length : scale factor
area: scale factor squared
Volume : scale factor cubed
Since we increased the area by 9, that would be the scale factor squared
Take the square root of 9, which is 3, and that is the scale factor
We want to know what happens to the length
It is multiplied by the scale factor
16.5*3 = 49.5
How does A compare to B?
Answer:
a. [tex]A\geq B[/tex]
Step-by-step explanation:
[tex]sin\frac{\pi }{2} =1[/tex]
and
[tex]cos(-\pi )=-1[/tex]
Answer:
Sin (pi/2) > Cos (-pi)
Step-by-step explanation:
Sin (pi/2) = 1
Cos (-pi) -1
Which is the equation in slope-intercept form for the line that passes through (-2, 15) and is perpendicular to 2x + 3y = 4?
A. y = 2/3x + 18
B. y = 3/2x + 18
C. y = 3/2x - 12
D. y = -3/2x + 18
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2x + 3y = 4 into this form
Subtract 2x from both sides
3y = - 2x + 4 ( divide all terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{4}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex], hence
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation of the perpendicular line
To find c substitute (- 2, 15) into the partial equation
15 = - 3 + c ⇒ c = 15 + 3 = 18
y = [tex]\frac{3}{2}[/tex] x + 18 → B
The equation of the line that passes through (-2, 15) and is perpendicular to 2x + 3y = 4 is y = 3/2x + 18.
Option B is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
To find the equation of the line that is perpendicular to 2x + 3y = 4, we need to first find its slope.
We can rearrange the equation into slope-intercept form (y = mx + b) by solving for y:
2x + 3y = 4
3y = -2x + 4
y = (-2/3)x + 4/3
So the slope of line 2x + 3y = 4 is -2/3.
Now,
Since we want a line that is perpendicular to this line, we know that its slope will be the negative reciprocal of -2/3, which is 3/2.
Now we have the slope and a point (-2, 15) that the line passes through.
We can use the point-slope form to write the equation:
y - 15 = 3/2(x + 2)
Simplifying:
y - 15 = 3/2x + 3
y = 3/2x + 18
Thus,
The equation of the line that passes through (-2, 15) and is perpendicular to 2x + 3y = 4 is y = 3/2x + 18.
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I NEED THE ANSWER ASAP
Jasmin and Jarvis are going to the donut shop. They have two options, donuts or donut holes and two toppings chocolate or sprinkles. Create a tree diagram to represent the sample space.
So first do the diagram (vent) and but two and two donuts until a odd number pops I think the answer is 5.
Given that f (x) = x^2 - 5x + 6, evaluate the function f (-2).
Answer:
f(- 2) = 20
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x)
f(- 2) = (- 2)² - 5(- 2) + 6 = 4 + 10 + 6 = 20
The value of the function f(x) = x² - 5x + 6 at x = -2 is 20 after plugging the value of x is -2 in the function.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = x² - 5x + 6
Plug x = -2
f(-2) = (-2)² - 5(-2) + 6
f(-2) = 4 + 10 + 6
f(-2) = 20
Thus, the value of the function f(x) = x² - 5x + 6 at x = -2 is 20 after plugging the value of x is -2 in the function.
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Find the sum of a finite geometric series.
The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is ______ inches.
Answer: 17 in.
Step-by-step explanation:
The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is 17 in.
Answer with explanation:
⇒Side of largest equilateral triangle in which three equilateral triangles are inscribed = 16 inches
Perimeter of a triangle = Sum of three sides of triangle
Perimeter of equilateral triangle having side length 16 inches = 16 +16+16=48 inches
⇒→Second equilateral triangle which is inscribed in this equilateral triangle having side length half of that equilateral triangle in which it is inscribed
[tex]=\frac{16}{2}\\\\=8[/tex] inches
Perimeter of equilateral triangle having side length 8 inches = 8 +8+8=24 inches
⇒→Third equilateral triangle which is inscribed in this equilateral triangle having side length half of that equilateral triangle in which it is inscribed
[tex]=\frac{8}{2}\\\\=4[/tex] inches
Perimeter of equilateral triangle having side length 4 inches =4+4+4=12 inches
⇒→Fourth equilateral triangle which is inscribed in this equilateral triangle having side length half of that equilateral triangle in which it is inscribed
[tex]=\frac{4}{2}\\\\=2[/tex] inches
Perimeter of equilateral triangle having side length 2 inches =2+2+2=6 inches
→≡Total Perimeter of all four Equilateral Triangle
=48 +24+12+6
= 90 inches
A dance club ordered shoes for all of its members. The shoe sizes are shown in the table.
Ten members of the dance club were selected for a special performance. The shoe sizes are shown in the table.
What is the sample mean for the data?
Enter your answer, as a decimal, in the box
The Answer is 7.7
Add all the Shoe size From the second Table
7+7+10+6+9+6+8+7.5+8.5+8=77
77 divide by the number of Shoe size
There are 10 shoe size So,
77/10=7.7
Hope this Help:)
Answer:
7.7
Step-by-step explanation:
The mean (or average) is the sum of the data points divided by the number of data points.
μ = (7 + 7 + 10 + 6 + 9 + 6 +8 + 7.5 + 8.5 + 8) / 10
μ = 77/10
μ = 7.7
what times what gives me -48 but adds to be -32?
Answer:
a couple of irrational numbers: -16±4√19, approximately {1.436, -33.436}
Step-by-step explanation:
Your question can be cast as the quadratic equation
x² +32x -48 = 0
The solutions can be found using the quadratic formula:
x = (-32 ±√(32² -4(1)(-48)))/(2(1)) = -16±√304 = -16±4√19
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Comment on the equation we used
We notice that when p and q are roots, the equation can be written ...
(x -p)(x -q) = 0 = x² -(p+q)x +pq
You want p+q = -32, pq = -48, so the equation is ...
x² -(-32)x +(-48) = 0
x² +32x -48 = 0 . . . . . . with parentheses eliminated