Answer:
sure if it is about something i know
224,972.1 rounded to the nearest 100 people
Answer: 225,000
Step-by-step explanation:
slope of y= -1 - 1/5x
Answer:
m = -1/5
Step-by-step explanation:
The equation is y = mx + b
m = the slope
b = y-intercept
Our equation y= -1 - 1/5x
m = -1/5
So, the slope is - 1/5x
gonna feel like a moron for asking this, but Multiply (3)(−4)(2).
Answer:
\(-24\)
Step-by-step explanation:
\(\left(3\right)\left(-4\right)\left(2\right)=3\times -4\times 2=-12\times 2=-24\)
The Downtown Parking Authority of Tampa, Florida, reported the following information for a sample of 229 customers on the number of hours cars are parked and the amount they are charged.
Number of Hours Frequency Amount Charged 1 16 $ 3 2 34 6 3 51 12 4 39 16 5 34 21 6 16 24 7 9 27 8 30 29 229
a. Convert the information on the number of hours parked to a probability distribution. (Round your answers to 3 decimal places.) Hours Probability 1 2 3 4 5 6 7 8
a-2. Is this a discrete or a continuous probability distribution?
b-1. Find the mean and the standard deviation of the number of hours parked. (Do not round intermediate calculations. Round your final answers to 3 decimal places.)
b-2. How long is a typical customer parked? (Do not round intermediate calculations. Round your final answers to 3 decimal places.)
c. Find the mean and the standard deviation of the amount charged. (Do not round intermediate calculations. Round your final answers to 3 decimal places.)
Answer:
a
See in the explanation
a-2.
Discrete
b-1.
Mean = 4.201
Standard Deviation = 2.069
b-2.
4.201
c.
Mean = 16.153
Standard Deviation = 8.079
Step-by-step explanation:
Given Data:
Number of Hours Frequency Amount Charged
1 16 $3
2 34 6
3 51 12
4 39 16
5 34 21
6 16 24
7 9 27
8 30 29
∑f = 229
a. Convert the information on the number of hours parked to a probability distribution:
The probability is calculated by dividing each frequency by 229. For example probability of Hour 1 is calculated as:
16 / 229 = 0.06987
This way all the hours probabilities are computed. The probability distribution is given below
Hours Probability
1 0.06987
2 0.14847
3 0.2227
4 0.1703
5 0.1485
6 0.0699
7 0.0393
8 0.1310
∑ 1
a-2. Is this a discrete or a continuous probability distribution?
This is a discrete probability distribution as the probability of each hour of between 0 and 1 and the sum of all the probabilities of hours is 1.
b-1. Find the mean and the standard deviation of the number of hours parked.
First multiply each value of Number of hours by the corresponding frequency. Let x represents the number of hours and f represents frequency. Then:
Number of Hours Parked
fx
16
68
153
156
170
96
63
240
Now add the above computed products.
∑fx = 16+68+153+156+170+96+63+240 = 962
Compute Mean:
Now the formula to calculate mean:
Mean = Sum of the value / Number of value
= ∑fx / ∑f
= 962 / 229
Mean = 4.201
Compute Standard Deviation:
Let x be the Number of hours.
Let f be the frequency
First calculate (x-x_bar) where x is each number of hours and x_bar is mean. The value of x_bar i.e. \(\frac{}{x}\) = 4.201
For example for the Hour = 1 , and mean = 4.201
Then (x-\(\frac{}{x}\)) = 1 - 4.201 = -3.201
So calculating this for every number of hour we get:
(x-\(\frac{}{x}\))
-3.201
-2.201
-1.201
-0.201
0.799
1.799
2.799
3.799
Next calculate (x-\(\frac{}{x}\))². Just take the squares of the above column (x-\(\frac{}{x}\))
For example the first entry of below calculation is computed by:
(x-\(\frac{}{x}\))² = (-3.201 )² = 10.246401
(x-\(\frac{}{x}\))²
10.246401
4.844401
1.442401
0.040401
0.638401
3.236401
7.834401
14.432401
Next multiply each entry of (x-\(\frac{}{x}\))² with frequency f. For example the first entry below is computed by:
(x-\(\frac{}{x}\))² * f = 10.246401 * 16 = 163.942416
(x-\(\frac{}{x}\))² * f
163.942416
164.709634
73.562451
1.575639
21.705634
51.782416
70.509609
432.97203
Now the formula to calculate standard deviation is:
S = √∑(x-\(\frac{}{x}\))² * f/n
Here
n = ∑f = 229
∑(x-\(\frac{}{x}\))² * f is the sum of all entries of (x-\(\frac{}{x}\))² * f
∑(x-\(\frac{}{x}\))² * f = 980.759829
S = √∑(x-\(\frac{}{x}\))² * f/n
= √980.759829 / 229
= √4.2827940131004
= 2.0694912449924
S = 2.069
b-2) How long is a typical customer parked?
That is the value of mean calculated in part b-1. Hence
Typical Customer Parked for 4.201 hours
c) Find the mean and the standard deviation of the amount charged.
First multiply each value of Amount Charged by the corresponding frequency. Let x represents the number of hours and f represents frequency. Then:
fx
48
204
612
624
714
384
243
870
Now add the above computed products.
∑fx = 48+204+612+624+714+384+243+870 = 3699
Compute Mean:
Now the formula to calculate mean:
Mean = Sum of the value / Number of value
= ∑fx / ∑f
= 3699 / 229
Mean = 16.153
Compute Standard Deviation:
Let x be the Amount Charged.
Let f be the frequency.
First calculate (x-x_bar) where x is each value of Amount charged and x_bar is mean. The value of x_bar i.e. \(\frac{}{x}\) = 16.153
For example for the Amount Charged = 3 , and mean = 16.153
Then (x-\(\frac{}{x}\)) = 3 - 16.153 = -13.153
So calculating this for every number of hour we get:
(x-\(\frac{}{x}\))
-13.153
-10.153
-4.153
-0.153
4.847
7.847
10.847
12.847
Next calculate (x-\(\frac{}{x}\))². Just take the squares of the above column (x-\(\frac{}{x}\))
For example the first entry of below calculation is computed by:
(x-\(\frac{}{x}\))² = (-13.153 )² = 173.001409
(x-\(\frac{}{x}\))²
173.001409
103.083409
17.247409
0.023409
23.493409
61.575409
117.657409
165.045409
Next multiply each entry of (x-\(\frac{}{x}\))² with frequency f. For example the first entry below is computed by:
(x-\(\frac{}{x}\))² * f = 173.001409 * 16 =
(x-\(\frac{}{x}\))² * f
2768.022544
3504.835906
879.617859
0.912951
798.775906
985.206544
1058.916681
4951.36227
∑(x-\(\frac{}{x}\))² = 14947.65066
Now the formula to calculate standard deviation is:
S = √∑(x-\(\frac{}{x}\))² * f/n
Here
n = ∑f = 229
∑(x-\(\frac{}{x}\))² * f is the sum of all entries of (x-\(\frac{}{x}\))² * f
∑(x-\(\frac{}{x}\))² * f = 14947.65066
S = √∑(x-\(\frac{}{x}\))² * f/ ∑f
= √65.273583668122
= 8.0792068712295
S = 8.079
On a walk through the woods, Mr. Finley saw 16 blue jays and 25 purple finches. Write the ratio of finches to blue jays three different ways.
Answer:
25:16
50:32
100:64
Step-by-step explanation:
Subtract (−5r2−6rs+6s2) from (6r2+9rs−10s2) and simplify.
Answer: Hope this helps you understand!
Step-by-step explanation:
Let's simplify step-by-step.
−5r2−6rs+6s2−(6r2+9rs−10s2)
Distribute the Negative Sign:
=−5r2−6rs+6s2+−1(6r2+9rs−10s2)
=−5r2+−6rs+6s2+−1(6r2)+−1(9rs)+−1(−10s2)
=−5r2+−6rs+6s2+−6r2+−9rs+10s2
Combine Like Terms:
=−5r2+−6rs+6s2+−6r2+−9rs+10s2
=(−5r2+−6r2)+(−6rs+−9rs)+(6s2+10s2)
ANSWER:
=−11r2+−15rs+16s2
Answer:
11r^2+15rs−16s^2
Step-by-step explanation:
Use the distributive property.
(6r^2+9rs−10s^2)−(−5r^2−6rs+6s^2)
6r^2+9rs−10s^2+5r^2+6rs−6s^2
Use the commutative property to combine like terms, then simplify.
6r^2+9rs−10s^2+5r^2+6rs−6s^2
6r^2+5r^2+9rs+6rs−10s^2−6s^2
11r^2+15rs−16s^2
Nancy is curious if the consumption of sweets, mainly donuts, increases as people get older. Nancy asked 200 customers at a local Krispy Kreme how many donuts they eat in a month, y, and recorded their age, x. She obtained the following regression line y=47-1.36x. What is the meaning of the slope of this regression line
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Number of donuts consumed in a month = y
Age = x
Regression equation obtained :
y=47-1.36x
Meaning of slope of the regression line ;
Comparing the regression equation obtained with the general equation of a linear regression line ;
y = mx + c; where m = slope of the regression line
Hence, the value of slope in the equation is = - 1.36
Thus, the slope can be interpreted as ; The number of donuts consumed in a month is expected to decrease by 1.36 for per(1) increase in age x of consumer.
The slope means that the number of donuts reduces by 1.36 as people get older.
A linear equation is in the form:
y = mx + b;
where y, x are variable, m is the slope of the line and b is the y intercept.
Let y represent the number of donut ate by the customers in a month and x represent their age
Given the regression line:
y = 47 - 1.36x
The slope means that the number of donuts reduces by 1.36 as people get older.
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The formula for a baseball player's slugging percentage is: If a player has 58 singles, 24 doubles, 8 triples, and 39 home runs, with 324 At bats. What is the player's slugging percentage? A. 0.524 B. 0.779 C. 0.883 D. 0.736
Answer:
C.
Step-by-step explanation:
Plug it in:
\(\frac{58+48+24+156}{324} =0.88271604049=0.883\)
\left(6x10^2\right)\div \left(3x10^{-5}\right)
Answer:
\(\frac{6\times 10^2}{3\times 10^{-5}}\) = 2 x 10⁷
Step-by-step explanation:
Given expression is \(\frac{6\times 10^2}{3\times 10^{-5}}\)
The given expression is simplified as follows;
\(\frac{6\times 10^2}{3\times 10^{-5}} = (\frac{6}{3} )\times 10^{2-(-5)}\\\\(\frac{6}{3} )\times 10^{2-(-5)} = (\frac{6}{3} )\times 10^{2+5}\\\\(\frac{6}{3} )\times 10^{2+5} = 2 \ \times \ 10^7\)
Therefore, the result of the given expression is 2 x 10⁷
find the distance between the points E(3,7) and f (6,5)
Answer:
(2,2)
Step-by-step explanation:
If you graph the points out and count from up or down to left or right, I beleive this is the answer you'll get.
Answer:
3.6056 or square root of 13
Step-by-step explanation:
Based on experience, the probability that an incoming email is spam (an undesired message of solicitation) is 38%. If three emails are in my inbox, what is the probability that:A. All three messages are spam.B. At least one of the three messages are spam.C. None of the three messages are spam.
Answer:
0.0549
0.7617
0.2383
Step-by-step explanation:
Given that:
Probability that incoming email is spam ;
P(spam) = 0.38
If three emails are in my inbox, what is the probability that:
A. All three messages are spam.
P(1st message being spam) * p(second message being spam) * p(3rd message being spam)
= (0.38) * (0.38) * (0.38)
= 0.054872
= 0.0549
B. At least one of the three messages are spam.
1 - p(none of the 3 messages are spam)
P(none of the 3 messages are spam)
P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62
1 - [P(not spam) * p(not spam) * p(not spam)]
1 - (0.62 * 0.62 * 0.62)
= 1 - 0.238328
= 0.761672
= 0.7617
C. None of the three messages are spam.
P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62
P(not spam) * p(not spam) * p(not spam)
(0.62 * 0.62 * 0.62)
= 0.238328
= 0.2383
Find the value of each variable in the following parallelogram - show work
Answer: x=14 y=10
Step-by-step explanation:
HELP ME PLS I AM DESPERATE
Madeline scored 75 and 80 on her first two exams. What score does she need to achieve on the third exam in order to earn an average of 85?
Answer:
100
Step-by-step explanation:
75 + 80 + 100 divided by 3 = 85
Non Shaded Shaded
Area
Area
8
Find the radius
of the small circle
Answer:
The answer is 16pi or 50.3cm² to 1 d.p
Step-by-step explanation:
The non shaded=area of shaded
d=8
r=d/2=4
A=pir³
A=p1×4²
A=pi×16
A=16picm² or 50.3cm² to 1d.p
Answer:
3.45 cm (3 s.f.)
Step-by-step explanation:
We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.
To find the radius of a regular polygon given its side length, we can use this formula:
\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)
Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):
\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)
The formulas for the area of a regular polygon and the area of a circle given their radii are:
\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)
\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)
Therefore, the area of the regular pentagon is:
\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)
The area of the circumcircle is:
\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)
The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.
The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.
Given the shaded area is equal to the unshaded area:
\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)
\(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)
Therefore, the radius of the small circle is 3.45 cm (3 s.f.).
What is umbrella insurance?
Answer:
Umbrella insurance is a type of personal liability coverage the goes above and beyond the amount the a regular home or vehicle insurance offers.
Step-by-step explanation: I just looked it up hope that answers your question.
$8 is what percent of $8?
Answer:
100%?
Step-by-step explanation:
Find The Surface Area Of the Figure Below.
Answer: 200cm
Calculation: 15cm times 8=120
20cm times 4= 80
Add 120+80= 200cm
3. Make Sense and Persevere In the equation 0.755s - 5/8= 44, how do you combine the like terms
The equation given is:
\(0.755s-\frac{5}{8}=44\)"Like terms" are terms whose variables are the same. The coefficient (number in front of the variable) can be different. Also, constant (single numbers) are like terms with other constants.
In the equation given,
There is one term with the variable "s" and two "constant terms".
Thus, we combine the two constant terms and leave the "s" term as is because there isn't any other like term to combine it with.
So,
We have:
\(\begin{gathered} 0.755s-\frac{5}{8}=44 \\ 0.755s=44+\frac{5}{8} \\ 0.755s=44\frac{5}{8} \end{gathered}\)Note that we added (5/8th) to the right hand side with "44". When we change sides, we change signs.
If 15% of a number equals 4, find 60% of that number.
Answer:
16
Step-by-step explanation:
pweeze help Use the following net to find the surface area of the solid figure it represents.
144 yd 2
48 yd 2
88 yd 2
94 yd 2
Answer:
The correct answer is 48
Step-by-step explanation:
Select the correct name in the table.
A teacher arranged some pencils on her desk as shown below and asked her students what concept the pencils demonstrated.
Allie said the pencils are an example of perpendicular lines.
Caryl said the pencils are an example of perpendicular segments.
Frank said the pencils are an example of parallel lines.
Hector said the pencils are an example of parallel segments.
Morgan said the pencils are an example of lines that are neither parallel nor perpendicular.
Terrence said the pencils are an example of segments that are neither parallel nor perpendicular.
Which student answered correctly?
Allie Caryl Frank
Hector Morgan Terrence
The person that is correct among the students is Frank who said the pencils are an example of parallel lines.
What are parallel lines?Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.
Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.
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please tell me how to solve!!
the equation in the form of slope interpretation is y = 1/3x -4.
What is a Linear equation?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation has the conventional form y = mx + c.
Given data in a table such as it makes a linear equation slope-intercept form of the given equation is y = mx +c
Where m is the slope
c is constant
The slope for the given data
m = (y₂ - y₁) / (x₂ - x₁)
m = (-5 + 6 )/ (-3 + 6)
m = 1/3
Hence, the equation would be
y = 1/3x + c
for constant we would satisfy the equation with other coordinates of the line.
Substituting ( 0, -4) in the above equation
-4 = 0 + c
c = -4
thus, the equation of the line is y = 1/3x -4
therefore, the linear equation of the given data is y = 1/3x -4.
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don't spam answer only if you know What is the measure of angle x? Enter your answer in the box
Answer:
The angle of x is 83°
Step-by-step explanation:
A straight line has a total of 180°. That means if you can figure out what the third angle on the bottom is (the one in the middle) you can add 41 to it and subtract that from 180. Since all the lines are straight you can say that the middle angle on the bottom is the same as the middle angle on the top. So:
180° - (41° + 56°) = 83°
What is the distance between the points (22, 13) and (4, 13) in the coordinate plane?
A.
26 units
B.
18 units
C.
19 units
D.
9 units
Answer:
18 units
Step-by-step explanation:
You don't need to use slope since both are using 13 for y.
22 - 4 (both x values) = 18
B. 18 units
In the square pyramid shown, points and are midpoints of the edges of one face. If the figure is sliced through points and and through the base, which best describes the shape of the resulting cross section? The picture shows a triangular prism. M and N are the points on the prism. A. rectangle B. trapezoid C. quadrilateral D. parallelogram
Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D
Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.
Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.
Therefore, the correct answer is D. parallelogram.
It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.
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Is the table linear or exponential?
Answer:
this table is linear
Step-by-step explanation:
there is a difference of 4 each time
Answer:
linear
Step-by-step explanation:
the difference in x and y values is constant
two equations in standard for equivalent to x+y=-10
As part of a survey, 2400 people were asked to name their favorite sport to watch. The table below summarizes their answers. This information is also presented
as a circle graph.
Find the central angle measure, x, for the Baseball slice in the circle graph. Do not round.
Sport
Football
Soccer
Baseball
Basketball
Hockey
Other
Percentage
of People
29%
9%
14%
8%
8%
Soccer
Baseball
Basketball
Football
Other
Hockey
The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.
Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:
Football 29%
Soccer 9%
Baseball 14%
Basketball 8%
Hockey 8%
Other 32%
We need to find the central angle measure, x, for the Baseball slice in the circle graph.
For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:
Central angle measure = (Percentage/100) × 360°
Now, using the above formula, we can calculate the central angle measure for each sport as shown below:
Football: (29/100) × 360° = 104.4°
Soccer: (9/100) × 360° = 32.4°
Baseball: (14/100) × 360° = 50.4°
Basketball: (8/100) × 360° = 28.8°
Hockey: (8/100) × 360° = 28.8°
Other: (32/100) × 360° = 115.2°
The sum of all central angle measures should be 360°, which is the measure of a full circle.
So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°
We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.
Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.
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Please help.What are all the answers
Answer:
5.90=r, 6.67=can't see, 5.17=n, 5.34=o, 6.08=s, 6.83=can't see, 6.43=u, 5.01=m, 5.69=p
Please answer this correctly
Answer:
19.63
Step-by-step explanation:
If the radius is 5 centimeters, then the area is just 3.14*5^2 / 4, which is 78.5/4. This is equal to 19.625. Rounding this give us 19.63 as the final answer