Answer:
27.0 feet
Step-by-step explanation:
Length of an arc (s) = 2πrθ/360................. Equation 1
Where r = radius of the circle, θ = angle in degree substends by the arc at the center of the circle.
From the question,
Given: r = 9 feet, θ = 3 radian = 3 (57.2950) = 171.89°
Constant: π = 3.14
Substitute these values into equation 1
s = 2(3.14)(9)(171.89)/360
s = 9715.2228/360
s = 26.99 feet
s ≈ 27.0 feet
A manufacturer has cube shaped cardboard boxes with an exact volume of 12000 cubic inches. What is the volum of the largest sphere that can be packed inside the cube shaped box? Give you answer rounded to the nearest whole cubic inch
Answer:
6283 in³
Step-by-step explanation:
The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.
Since the cardboard box is in the shape of a cube, its volume V = L³
So, L = ∛V
Since V = 12000 in³,
L = ∛(12000 in³)
L= 22.89 in
So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2
So, V = 4π(L/2)³/3
= 4πL³/8 × 3
= πL³/2 × 3
= πL³/6
= πV/6
= π12000/6
= 2000π
= 6283.19 in³
≅ 6283.2 in³
= 6283 in³ to the nearest whole cubic inch
Please help, GodBless.
Answer:
(A) seems to have the least amount of slope with a slope of -6, compred to all, its the least one.
Step-by-step explanation:
Follow slope formula
(y2-y1) / (x2-x1)
Or calculate using rise over run method
In a particular region, 6% of the population is thought to have a certain disease. A standard diagnostic test has been found to correctly identify 91% of the people who have the disease. However, the test also incorrectly diagnoses 8% of those who do not have the disease as having the disease (in other words, the person does not have the disease but the test tells them that they do). A randomly selected person in the region is tested for the disease. (a) What is the probability the test comes back positive
Answer:
The positive predictive value ≈ 30.012%
Step-by-step explanation:
(a) The given percentage of the people in the region that have the disease, P(D) = 6% = 0.06
The percentage people correctly identified as having the disease by the standard diagnostic test = 91%
The percentage of people incorrectly identified as having the disease by the standard diagnostic test, P(T + |H) = 8%
Therefore, the sensitivity of the test, P(T + |D) = 0.91
The specificity of the test, P(T - |H) = 1 - 0.08 = 0.92
Therefore, the probability that a person is healthy, P(H) = 1 - 0.06 = 0.94
Therefore, in a population of 1,000 people, 60 people have the disease, with a sensitivity of 91%, the test will correctly pic 0.91×66 = 60.06 people correctly with the disease and 0.91 × 940 = 855.4 people without the disease
The number of non-diseased that test positive by the test is 0.08 × 1000 = 80 people which are false positives
Therefore, the number of diseased diagnosed as negative is 0.08 × 60 = 4.8
Therefore, we have;
[tex]\begin{array}{cccc}&Deseased&Non-diseased& Diseased + Non-diseased\\Test \ +ve&60.06&80& 140.06\\Test \ -ve&4.8&855.4&\end{array}[/tex]
The positive predictive value = Diseased +ve/(Diseased +ve + Non-diseased +ve)
[tex]The \ positive \ predictive \ value = \dfrac{Diseased +ve}{Diseased +ve + Non-diseased +ve} \times 100[/tex]
Therefore;
The positive predictive value = 60.06/(60.06 + 140.06) × 100 ≈ 30.012%
The largest U.S flag in the world is 225 feet by 505 feet.
Is the ratio of the length to the width equivalent to 1:19,
the ratio for official government flags?
Answer:
Step-by-step explanation:
Remark
The ratio should be 10 : 19
Given
Flag Ratio: 225 : 505
Break the dimensions into prime factors.
225: 15 * 15 = 3*5 * 3*5
505: 5 * 101
Conclusion
101 is prime so this dimension cannot be broken down any further
The fives cancel out. The dimensions of this flag are in the ratio of 45/101 which is 0.4455
10/19 = 0.5263
I would say this is reasonably close.
A certain bacterium has an exponential growth rate of 25% per day. If we start with 0.5 gram and provide unlimited resources, how many bacteria can we grow in 2 weeks? Round to the nearest tenth of a gram. HINT: How many days are in a week?
Answer:
FV= 11.369 gr
Step-by-step explanation:
Giving the following information:
Growth rate (g)= 25% per day
Number of periods (n)= 14 days
Present Value (PV)= 0.5 gr
To calculate the Future Value(FV) in grams, we need to use the following formula:
FV= PV*(1+i)^n
FV= 0.5*(1.25^14)
FV= 11.369 gr
CAN SOMEONE HELP AND EXPLAIN WHAT TO DO PLEASEEEEEEEEEEEEEE
Answer:
a. 19 Questions
b. No, Collins grade was 81%, or B-minus :(
Step-by-step explanation:
There are 21 questions in total on the test. Collin wants a 90 percent at least. If you multiply 21 by 90 percent (as below), you will get 18.9
[tex]21 * .9\\=18.9[/tex]
Of course, you can't get 18.9 questions right (unless you're teacher gives .9 extra points lol, So we need to round UP to a whole number (don't round down because it'll give you a number lower than what 90 percent would equate to.
And, Collin got 17 questions right. That's equivalent to 81 percent of 21 (as below).
[tex]17 / 21\\=.8095[/tex]
This rounds to about 81%, meaning Collin did not reach his goal :(. Oh well, he'll just have to try harder next time!
Have a nice day, fam.
Izzy has 354 grapes and 600 red grapes. The man in the store is selling apples. How many grapes are there in all?
A dump truck is filled with 82.162 pounds of gravel. It drops off 77.219 pounds of the gravel at a construction site. How much gravel is left in the truck?
Answer:
I believe the answer is 4.943 :)
Step-by-step explanation:
82.162-77.219= 04.943
Which is the correct equation for x:y=8:1
See picture attached.
Answer:
Step-by-step explanation:
Means of means = means of extremes 8y = x
x = 8y
Option B is the correct answer
A number of days, d, of sunshine is not 28.
Answer:
D<28
Step-by-step explanation:
The required inequality for the given situation can be, d > 28 or d < 28
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, write an inequality for the situation.
Situation :-
A number of days, d, of sunshine is not 28.
Here, the number of days is said to be not equal to 28, we are not given if is less or more,
It can be less or more than 28 but not 28
So, here we get two situations,
Either, the number of days, d, of sunshine is less than 28, or the number of days, d, of sunshine is more than 28.
If we write these situations, mathematically, the inequalities we will have, are :-
1) The number of days, d, of sunshine is less than 28 :-
d < 28
2) The number of days, d, of sunshine is more than 28 :-
d > 28
Therefore, the two inequalities, are :- d < 28 or d > 28
Hence, the required inequality for the given situation can be, d > 28 or d < 28
Learn more about Inequalities, click;
https://brainly.com/question/30228778
#SPJ2
The complete question is :-
Write an inequality for the situation.
A number of days, d, of sunshine is not 28 .
A cup and saucer together cost N$ 20.50 . A cup and two saucer cost N$ 27.00 . Find the cost of the cup and the saucer.
Answer: Cup-$14, Saucer-$6.5
Step-by-step explanation:
Given
Cup and saucer costs $20.5
A cup and two saucer costs $27
Assume the price of cup and saucer are x and y
So, we can write
[tex]\Rightarrow x+y=20.5\quad \ldots(i)\\\\\Rightarrow x+2y=27\quad \ldots(ii)[/tex]
Solving [tex](i)\ \text{and}\ (ii)[/tex] we get
[tex]x=\$\ 14, y=\$\ 6.5[/tex]
Thus, the cost of the cup is $14 and that of the saucer is $6.5
Carson packed his movies in a box that is in the shape of a rectangular prism. The height of the box is 17 inches. The length of the box is 1.5 times the height. The volume of the box is 5,635.5 cubic inches. What is the width of the box?
Answer:
Width: 13 inches
Step-by-step explanation:
To find the width of prism you would have to divide the volume of the prism by the area of the cross section.
First calculate the area of the cross section of the prism:
17 × 25.5= 433.5
Then divide the cross section area by the volume:
5635.5 ÷ 433.5= 13
The width is 13 inches
In 20 seconds, a roller coaster goes up a 100-meter hill, then down 72 meters and then back up a 48-meter rise. what integer represents the vertical change from the start of the ride for the coaster after the 20 seconds
This is the answer
I hope if you get it correct or right
Good luck everyone
The total vertical change from the start of the ride for the roller coaster after the 20 seconds 76 m.
What is vertical change?The rise is the vertical difference between two points called vertical change.
Calculation for the vertical change:Step 1: Calculation for the the total rise when roller coaster goes up a 100 meter hill and the down 72 meter.Thus, the total vertical rise will be,
100 (upward) - 72 (downward) = 28(upward)
Step 2: Calculation for the total rise after the roller coaster again goes vertical to 48 meter.So, the total rise will become,
28(upward) + 48(upward) = 76(upward)
Therefore, the total vertical rise of the roller is 76 meter during the time of 20 seconds.
To know more about the vertical line test, here
https://brainly.com/question/2257047
#SPJ2
Need help please. Thanks!
Answer:
Option 1: 4h
Step-by-step explanation:
perimeter of square = 4 × length
h × 4 = 4h
Can someone please help me please I really need help please answer it correctly
Answer:
Princeton FloristLet the total charge is y, the number of small arrangements is x.
Total charge will be:
y = 13x + 47Chad's FlowersTotal charge will be:
y = 17x + 35Since the total charge is same in both shops, we have:
13x + 47 = 17x + 35Solve for x:
17x - 13x = 47 - 354x = 12x = 3Total cost is:
13*3 + 47 = 39 + 47 = 86Small arrangements = 3, cost = $86
What is the best description of a food chain?
the competition among several species for the same food item
the transfer of energy from one organism to another
Answer:
the transfer of energy from one organism to another
Step-by-step explanation:
The highest value on the domain of the function is called its ____ ____. (2 words)
starts with ab
Answer:
It is called the maximum value.
Step-by-step explanation:
The highest value on the domain of the function is called its maximum value.
What is domain and range of the function?The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:
Domain = the set of all x-coordinates = {1, 2, 3, 4}
Range = the set of all y-coordinates = {2, 3}
The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph. There is no point above the maximum value of the function. Thus the highest point on the graph is known as the maximum value of the domain of the function.
The maximum value is one of the extreme values of the domain of the function. The other extreme value is known as the minimum value. It is on one side of the graph and the maximum value is on the other side of the graph.
Therefore, the highest value on the domain of the function is called its maximum value.
To learn more about the domain and range visit:
brainly.com/question/28135761.
#SPJ6
5. Bryce gets a monthly allowance of $10 plus $1 for each
additional chore.
A) Determine if the situation is linear or not.
B) Determine if the situation is proportional or not.
C) Determine if the situation is a function or not.
How can you tell? Be sure to use the words input, output, slope and y-intercept in your
explanation.
Calculate each unit price. Determine which is the best buy.
$1.25 for 6 oz.
$1.33 for 8 oz.
$1.50 for 12 oz.
$2.05 for 16 oz.
Answer:
1.50 for 12 ounces would be the best buy.
Step-by-step explanation:
We can calculate the unit price by dividing the price the the amount. In this case, we use ounces as our amount. Based on the calculations below, the best buy would be the 1.50 for 12 ounces as it has the lowest unit price.
1.25/6 = 0.208
1.33/8 = 0.166
1.50/12 = 0.125
2.05/16 = 0.128
pls help! correct gets thanks and brainliest :)
Answer:
[tex] m\angle SYX=76\degree [/tex]
Step-by-step explanation:
[tex] m\angle SYX = m\angle UYV[/tex]
(Vertical angles)
[tex] \because m\angle UYV=76\degree [/tex]
[tex] \therefore m\angle SYX=76\degree [/tex]
What is the distance between A(7, 4) and B(2, −8)?
Answer:
The distance would 13 square units
Step-by-step explanation:
Well follow the formula
=√(2−1)^2+(2−1)^2
Plug in everything and solve, remeber to follow order of operations
Please answer correctly! I will mark you as Brainliest!
Answer: 1047.2
Step-by-step explanation:
V=(4/3)(pi)(r^3)
V=(4/3)(pi)(5^3)
=523.6
Since there are 2 pinatas, you multiply 523.6 by 2.
=1047.2
Choose the correct answer.
Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?
%
answer:
Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?
45 %
The percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%
How to determine the change in the rates?From the chart (table), we have the following rates in Germany:
Rate in 1970 = 27.42Rate in 1976 = 39.74The percentage change is then calculated using:
Percentage change= (Final - Initial)/Initial * 100%
This gives
Percentage change= (39.74 - 27.42)/27.42* 100%
Evaluate the quotient
Percentage change= 0.45* 100%
Evaluate the product
Percentage change= 45%
Hence, the percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%
Read more about percentage change at:
https://brainly.com/question/978738
Evaluate the expression
Show your work
b) -10 -5h for h = -6
Answer:
20
Step-by-step explanation:
-10-5x(-6)
-10+30
20
what is 11309.73 to the nearest hundredth
PLEASE HURRY!! I need help!!!
Calculate the IQR given in the box: 
what is 8.7+[2.7-(4x0.5)]x9
*
2) Does the following table show a function?
Answer:
no it does not show a fucntion
what angle is opposite the longest side?
I will mark as brainliest
Answer:
75
Step-by-step explanation:
Answer:
the angle that is 75 degrees
Step-by-step explanation:
Because the longest side is always opposite of the largest angle and the smallest side is always opposite of the smallest angle.
$12 with a 85% markup
12+85% is $22.20
80%x12=9.6
5%x12=0.6
9.6+0.6=10.2
12+10.2=22.20
Answer: $22.20
