Answer:
24/25
Step-by-step explanation:
3/5×8/5
24/25
Jeff is planning to build a cylindrical water tank that has a capacity of no less than 80 cubic feet. Which of these combinations of the base radius (r) and the height (h) can he choose? Select all that apply. Use 3.14 for π.
Answer:
A good combination will be equal to or greater than 80 ft³. Example
r = 3 ft
h = 5 ft
volume = πr²h
volume = 3.14 × 9 × 5 = 3.14 × 45 = 141.3 ft³ is a good combination of radius and height .
Step-by-step explanation:
The volume of a cylinder = πr²h
Jeff is planning on building a cylindrical water tank that has a capacity of no less than 80 ft³. This means he want the volume of the cylindrical tank to be equal to or greater than 80 ft³(volume ≥ 80 ft³). The combinations of radius and height should be equal to or greater than 80 ft³ when they are inserted in the volume formula of a cylindrical water tank.
For example
volume = πr²h
r = 2 ft
h = 5 ft
volume = πr²h
volume = 3.14 × 2² × 5 = 62.8 ft³ is not a good combination of base radius and height because the volume is less than 80 ft³.
A good combination will be equal to or greater than 80 ft³. Example
r = 3 ft
h = 5 ft
volume = πr²h
volume = 3.14 × 9 × 5 = 3.14 × 45 = 141.3 ft³ is a good combination of radius and height .
Convert 1.5 kg to g.
5 people made the following grades on the last math test: 45, 83, 45, 77, 99. Use this information to find the mean.
what is the mean?
what is the range?
what is the median?
i will mark brainliest
Answer:
Mean is 69.8
Median is 77
Range is 54
Step-by-step explanation:
Mean is all numbers added up, then divided by the amount of numbers.
Median is the middle number of all numbers (To find this you put all numbers in order from least amount to highest amount, then you find the most center number of the rest).
Range is the highest number subtracted from the lowest number.
Answer:
Mean: 69.8
Range: 54
Median: 77
Step-by-step explanation:
The mean is the average of the numbers. The range is the largest number minus the smallest number. The median is the middle number.
The mean is 69.8.
[tex]\frac{45 + 83+45+77+99}{5} \\\frac{349}{5}\\69.8[/tex]
The range is 54.
99 - 45 = 54
The median is 77.
45 45 77 83 99
The sum of Emma’s age and her sisters age is 41 years. Emma is 11 years older than her sister. What is Emma’s age and what is her sisters age? Please respond as quick as possible
The required age for Emma and her sister is 26 years and 15 years respectively.
Given that,
The sum of Emma’s age and her sister's age is 41 years. Emma is 11 years older than her sister.
The problem given is of arithmetics.
Let the age of Emma be x and her sister be y.
The sum of Emma’s age and her sister's age is 41 years.
x + y = 41 - - - - - - (1)
Emma is 11 years older than her sister
x = y + 11 - - - - - (2)
Solving equations 2 and 1
y + 11 + y = 41
2y = 30
y = 15
Now,
Put y in equation 1.
x = 41 - 15
x = 26
Thus, the required age for Emma and her sister is 26 years and 15 years respectively.
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Please help me now plz
Answer:
?= 5.52
Step-by-step explanation:
We know that sin theta = opp side / hypotenuse
sin 65 = 5 / ?
? = 5 / sin 65
? =5.516889595
To the nearest hundredth
?= 5.52
A sports physician conducts an observational study to learn the average amount of time that 3,000 swimmers in the town can hold their breath underwater. He uses 150 sampling of 60 people. The average of the means of all the samplings is 72.7, and the standard deviation is 0.92. This is a histogram of the sampling distribution of the sample mean. Based on this data, with a 95% confidence interval the researchers can determine that the actual average amount of time the entire population can hold their breath under water is? Between and
Answer:
95% confidence interval for the actual average amount of time the entire population can hold their breath under water is between 72.55 and 72.85.
Step-by-step explanation:
Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample mean) ± (Margin of error)
Sample Mean = 72.7
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error of the mean)
Critical value will be obtained using the t-distribution. This is because there is no information provided for the population mean and standard deviation.
To find the critical value from the t-tables, we first find the degree of freedom and the significance level.
Degree of freedom = df = n - 1 = 150 - 1 = 149
Significance level for 95% confidence interval
(100% - 95%)/2 = 2.5% = 0.025
t (0.025, 1499) = 1.975 (from the t-tables)
Standard error of the mean = σₓ = (σ/√n)
σ = standard deviation of the sample = 0.92
n = sampling size = 150
σₓ = (0.92/√150) = 0.0751176854 = 0.07512
95% Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]
CI = 72.7 ± (1.975 × 0.07512)
CI = 72.7 ± 0.1483574288
95% CI = (72.55, 72.85)
95% Confidence interval = (72.55, 72.85)
Hope this Helps!!!
Peyton pays $39.90 for 3.8 pounds of trail mix. What is the price per pound of trail mix?
What is the equation of this circle in standard form?
(x+1)2+(y−1)2=5
(x−1)2+(y+1)2=25
(x−1)2+(y+1)2=5
(x+1)2+(y−1)2=25
Answer:
c.(x - 1)2 + (y - 1)2 = 25
Step-by-step explanation:
Got it on edg 2021
Hope this helps :]
Use a graphing utility to find the sum of the geometric sequence.
15
n
5
Σ
6
n=1
The sum is
- (Round to three decimal places as needed.)
phony
Answer:
its 5
Step-by-step explanation:
bruh
The sum of the geometric sequence can be found by plugging the values into the formula S_n = a * (1 - r^n) / (1 - r) and calculating it using a graphing utility.
Explanation:The question pertains to finding the sum of a geometric sequence using a graphing utility. The general formula to find the sum of a geometric sequence is S_n = a * (1 - r^n) / (1 - r) where S_n is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms. In your case, our first term a is 15, common ratio r is 5, and number of terms n is 6.
Now, you need to plug these values into the formula and compute the sum. Here's how: S_6 = 15 * (1 - 5^6) / (1 - 5). Solve this equation using your graphing utility to get the sum of the sequence. Remember to round off to three decimal places as needed.
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Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent.
Answer:
The perimeter would be 60 units; Option B
Step-by-step explanation:
~ Let us consider this problem. We know that tangent segments are congruent to one another provided they are from one endpoint. According to that, we would note that several segments are congruent to one another... ~
1. All the tangent segments that "sprout" from one vertex in this plane onto the circle circumscribed in this triangle are congruent, as noted before. According to that the side of the length 18 units has one part equivalent to 8.7 units.
2. With that being said the other part of the side with length 18 units, would be 18 - 8.7 = 9.3 units. Respectfully the side with length of 21.3 units has a part that is congruent to 9.3, by tangent ≅. This other part of the side with 21.3 units now = 21.3 - 9.3 = 12 units. Similarly the side with 8.7 as a part of it, has the other part ≅ to 12 units, it's measure thus also being 12 units.
3. Let us see the measures we have at this point. The perimeter would be ⇒ 8.7 + 8.7 + 9.3 + 9.3 + 12 + 12 = 60 units
Help me out please I’m stuck
Sales increased by 1/2 last month. If the sales from the previous month were $152,850 what were last months sales?
Answer
229275
Step-by-step explanation:
Take the previous month sales and cut that in half then add them to the same sales you just cut in half because they've increased by 1/2 and or 0.5
A submarine drops at a rate of 19 feet per minute. What is the submarine's depth, in feet, after 4 minutes?
a 67
ob -67
Oc 76
d -76
Answer:
.
Step-by-step explanation:
2
11. Multi-Step Lucy spent $16.08 for a dog
collar and $43.57 for a dog bed. She has
$25.45 left. How much money did Lucy
have before she went shopping?
n
Answer:
$34.20.
Step-by-step explanation:
You have to use addition. First, you add $16.08 and $43.57 and get $59.65. Then you subtract $25.45 from $59.65 getting $34.20. Hope this helps! If you are still confused please comment!
A paddle wheel on a boat is 8 feet in diameter. The fins along the outer edge travel at a speed of 6.7 feet per second. How long does it take the paddle wheel to complete 100 full revolutions? Round to the nearest second.
Answer:
375 seconds.
Step-by-step explanation:
Step 1
The first step is to find the Circumference of the paddle.
The Circumference of a paddle = Circumference of a circle = 2πr or πD
Where D = Diameter of the circle or Diameter of the paddle
In the question above,
Diameter of a paddle = 8 feet
Circumference of the paddle= πD
= π × 8
= 25.132741229 feet
Step 2
We have to find out first, the time it would take for the paddle to complete one revolution.
This is calculated using the formula:
Time(t) = distance travelled ÷ Speed travelled by the fins along the outer edge of the paddle
In the question,
Speed travelled by the fins along the outer edge of the paddle = 6.7 feet per second
It is important to note that the distance travelled is = Circumference of the paddle = 25.132741229 feet
Time taken to complete one revolution = 25.132741229 feet ÷ 6.7 feet per second
Time taken to complete one revolution. = 3.7511554073 seconds
Approximately = 3.75 seconds.
Step 3
If , 1 full revolution of the paddle takes = 3.75 seconds
100 revolutions =
100 × 3.75 seconds
= 375 seconds.
Therefore, it takes the paddle wheel 375 seconds to complete 100 full revolutions.
Help please please please
Answer:
$321. 25
$280. 25
$260. 25
$285. 25
a circle with radius 5 has a sector with a central angle of 9/10pi radians what is the area of the sector
Answer:
(9 / 10) * PI radians = .9 * PI = 2.8274333882 radians
Sector Area = Central Angle in Radians / 2 * radius^2
Sector Area = 2.8274333882 / 2 * 5 * 5
Sector Area = 1.4137166941 * 25
Sector Area = 35.3429173525
Using degrees:
Sector Area = (162 degrees / 360) * PI * radius ^2
Sector Area = .45 * PI * 25
Sector Area = 35.342917352
Step-by-step explanation:
cos(-15°) = _____.
cos 75°
-cos 345°
cos 15°
-cos 15°
Answer:
Cos 15
Step-by-step explanation:
Because they both have the same answer when you type them in the calculator
Hope this helps
The required simplified value of the given expression is cos 15°. Option C is correct.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Given
= cos(-15°)
Since,
Cos[-Ф] = cosФ,
cos(-15°) = cos 15°
Thus, the required simplified value of the given expression is cos 15°. Option C is correct.
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Find the slope of the line represented by the table of values.
First, let's pick two pairs of coordinates from the table.
I picked (-3,6) and (1,-2).
Now, let's find the slope of the two coordinates. We are going to use the rise over run method.
-2 -6 /1 - -3 = -8/4
-8/4 = -2
What is the measure of angle A?
(3y + 27)
What is the measure of angle B?
(5y - 3)
Answer: A = 72
B = 108
Step-by-step explanation:
the answer to the expression
Answer:
41/5
Step-by-step explanation:
24/5 + 17/5 = 41/5
At a children's party a 2 litre bottle of club orange is served in 125 ml cups. How many full cups of club orange can be served from the full bottle?
Answer:
16 cups
Step-by-step explanation:
Amount of club orange juice in bottle = 2 litre = 2000 ml
Capacity of cup = 125 ml
Number of cups in which 125 ml of orange juice can be served = 2000 ÷ 125
=16
What is the length and width?
Answer:
L. W = 60. 30.
Step-by-step explanation:
Perimeter = 2L + 2W where W = width and L = the length, and L = 2W.
We have the following system:
2L + 2W = 180
L = 2W
Substituting L = 2W in the first equation we have:
2(2W) + 2W = 180
4W + 2W = 180
6W = 180
W = 180/6 = 30.
So L = 2*30 = 60.
Fiona says that 7% of the model is shaded.
Do you agree? Why or why not?
O Yes, because 7 parts are shaded.
O Yes, because 7 of 10 parts are shaded.
O No, because
parts shaded equals 70%.
O No, because 6 parts are shaded.
PLEASE HELP IM BEING TIMED ILL GIVE THE BRAINLIEST
Answer:
no because 7% would not equal a whole piece so D is your answer
Step-by-step explanation:
Answer:
C. No, because 7/10 parts shaded equals 70%.
Step-by-step explanation:
The point P(x, y) lies on the terminal side of an angle a = Ū in standard position. What are the signs of the values of x and y?
Both x and y are positive.
Both x and y are negative.
x is positive, and y is negative.
x is negative, and y is positive.
The signs of x and y depend on the quadrant the point is located in, guiding whether each value is positive or negative.
The signs of the values of x and y depend on which side of the origin point P lies. When a point is in the first quadrant, both x and y values are positive.
In the second quadrant, x is negative, and y is positive.
In the third quadrant, both x and y are negative, while in the fourth quadrant, x is positive, and y is negative.
The graph below shows graph of f (x), its derivative f '(x), and its second derivative f "(x). Which of the following is the correct statement?
A is f ', B is f, C is f ".
A is f ", B is f, C is f '.
A is f ', B is f ". C is f.
A is f, B is f ', C is f ".
I believe B is the original, C the first derivative, and A is the second derivative. Can someone please confirm this for me? Thank you!
Answer:
A is f ", B is f, C is f '.
Step-by-step explanation:
Your answer is correct. B is the original function f. It has a local maximum at x=0, and local minimums at approximately x=-3/2 and x=3/2.
C is the first derivative. It crosses the x-axis at each place where B is a min or max. C itself has a local maximum at approximately x=-3/4 and a local minimum at approximately x=3/4.
Finally, A is the second derivative. It crosses the x-axis at each place where C is a min or max.
The solution is::
A is f ", B is f, C is f '.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
we get,
B is the original function f.
It has a local maximum at x=0, and local minimums at approximately x=-3/2 and x=3/2.
C is the first derivative.
It crosses the x-axis at each place where B is a min or max.
C itself has a local maximum at approximately x=-3/4 and a local minimum at approximately x=3/4.
Finally, A is the second derivative. It crosses the x-axis at each place where C is a min or max.
Hence, The solution is::
A is f ", B is f, C is f '.
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5. Mrs. Jones is handing out candy to trick-or-
treaters. She gives out candy bars to kids in
costume and small packages of gummies to kids
without a costume. The candy bars cost $0.80,
and the gummies cost $0.25. At the end of the
night, 100 children visited Mrs. Jones's home,
and she gave out $69.00 in candy. How many
children who visited Mrs. Jones's home were
wearing a costume?
A. 20
B. 50
C. 69
D. 80
E. 92
ANSWER. BBB
Step-by-step explanation:
Mrs. Jones gave candy bars to 80 children who were wearing costumes. The correct answer is option D.
The question is a classic example of a system of equations problem
Let's call the number of children with costumes x and the number without costumes y. We have two pieces of information that will help us solve for x:
The total number of children is 100, so x + y = 100.
The total amount of money spent on candy is $69, and since candy bars cost $0.80 and gummies cost $0.25, we can express this as 0.80x + 0.25y = 69.
We can solve this system of equations using substitution or elimination method.
Let's use substitution and express y in terms of x from the first equation: y = 100 - x.
Now we substitute this into the second equation:
0.80x + 0.25(100 - x) = 69
0.80x + 25 - 0.25x = 69
0.55x = 44
Solving for x gives us x = [tex]\frac{44}{0.55}[/tex]
Therefore, 80 children wearing costumes were given candy bars by Mrs. Jones. The correct answer is D.
Tonya baked two dozen cupcakes for the party. She frosted three-quarters of them with chocolate icing, and she frosted the rest with vanilla icing. How many of the frosted cupcakes had vanilla icing?
Answer:
6
Step-by-step explanation:
Two dozen cupcakes equals 24 cupcakes.
24/4=6
6*3=18
18 cupcakes are chochlate
24-18=6, so 6 are vanilla
Answer:
Step-by-step explanation:
If she baked two dozens, which are 24 cupcakes and 3 quarters are chocolate or 3/4 in fractional form. This would be:
24 divided by 3/4 would be: 18
24-18= 6
6 cupcakes are vanilla frosted.
the circumference of a circle is 11.4mm. find the length of the diameter. give your answer rounded to 3SF.
The diameter of a circle with a circumference of 11.4mm is approximately 3.63mm when rounded to three significant figures. The formula for calculating the diameter is D = C/π, where C is the circumference.
Explanation:The student is asking how to find the length of the diameter of a circle if the circumference is given as 11.4mm. To find the diameter, we can use the formula for the circumference of a circle, which is C = πD, where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14159, and D is the diameter. Rearranging the formula to solve for the diameter, we get D = C/π.
Substitute C with 11.4mm into the equation:
D = 11.4mm /π
Using a calculator:
D ≈ 11.4mm / 3.14159
D ≈ 3.63mm (rounded to three significant figures)
Therefore, the diameter of the circle is approximately 3.63mm when rounded to three significant figures.
If the probability of a chance event is 0, it is _________ to happen when compared to a chance event with a probability of 1.
If the probability of an event is 0, it is impossible to happen, in contrast to an event with a probability of 1, which is certain to happen. Probability is measured between 0 (impossible event) and 1 (certain event), with a familiar example being a coin flip where each outcome (heads or tails) has an equal probability of 0.5.
If the probability of a chance event is 0, it is impossible for it to happen when compared to a chance event with a probability of 1, which is certain to happen. The concept of probability is expressed as a number between zero and one, inclusive. An event with a probability of 0 is not expected to happen at all, while an event with a probability of 1 is considered an absolute certainty. In contrast, if two events are mutually exclusive, the probability that they both happen at the same time is zero (P(A AND B) = 0). A familiar example involving probability is flipping a fair coin, where there's a 1/2 chance of getting heads, meaning that the outcome of getting either heads or tails are equally likely; each has a probability of 0.5.