Golf balls are sold in packages of three and made from a solid rubber material. The diameter of the golf ball is 1.68 inches. Approximately, what is the volume of all three golf balls?
Remember that
the volume of teh sphere is equal to
\(V=\frac{4}{3}\cdot\pi\cdot r^3\)the volume of three golf balls is
\(\begin{gathered} V=3\cdot\lbrack\frac{4}{3}\cdot\pi\cdot r^3\rbrack \\ V=4\cdot\pi\cdot r^3\rbrack \end{gathered}\)we have
r=1.68/2=0.84 in
pi=3.14
substitute
V=4(3.14)(0.84^3)
V=7.44 in3
answer is 7.44 cubic inchesAnswer all questions shown
17. Tommy wants to convert 68 miles per hour to inches per second. This is his
conversion, is it set up correctly?*
.
68 miles
1 hour
5280 ft
1 mile
.
12 inches
1 ft
60 hour
1 min
.
60 min
1 sec
Yes, he is correct.
No, he is not correct.
Answer:
no, he is not correct
Step-by-step explanation:
His last two conversion fractions are reversed. He should have 1hr/60min and 1min/60s.
Harry and Tim both made New Year’s Resolution. Harry made 5 more resolutions than Tim. Together they made 13 resolutions. How many resolutions did Harry make?
Answer:
Harry made 9 resolutions.
Step-by-step explanation:
Tim made x resolutions.
Harry made five more, x + 5.
Harry and Tim's together was 13.
x + x + 5 = 13
combine like terms.
2x + 5 = 13
subtract 5
2x = 8
divide by 2
x = 4
Tim made 4 resolutions.
Harry made 4 + 5, that is, 9 resolutions.
Check:
Harry and Tim together is 13.
4 + 9 = 13
Harry made 9 resolutions.
jessie works in an electronics store and earns a 7.5% commission on every item that she sells. How much commission would she earn for selling a computer that costs $1,580?
Work Shown:
7.5% = (7.5)/100 = 0.075
7.5% of $1580 = 0.075*1580 = 118.50
what is 62/25 - 5/4 and find the
Answer:
123/100
Step-by-step explanation:
Answer:
Step-by-step explanation:
62 / 25 = 2.48
5 / 4 = 1.25
2.48 - 1.25 = 1.23
Determine if the statement is true or false. A system in echelon form can have more variables than equations. True False
Answer:
True.
Step-by-step explanation:
A system of a mathematical expression such as a matrix is said to be in echelon form when it has many variables.
There are two (2) forms of echelon matrices and these includes;
I. Reduced row echelon form (RREF)
II. Row echelon form (REF)
Hence, a system in echelon form can have more variables than equations.
\(\left[\begin{array}{ccc}1&2&3\\0&0&1\\0&7&5\\0&0&0\end{array}\right]\)
A recent study reported the mean body mass index (BMI) for adults in the United States was 26. 8. A researcher believes the mean BMI of marathon runners is less than 26. 8. A random sample of 35 marathon runners had a mean BMI of 22. 7 with a standard deviation of 3. 1. The researcher will conduct a one-sample t-test for a population mean. Have the conditions for inference been met
Since the samples of the study are independent, the condition for inference have been met
The body mass index for adults in the United States = 26.8
BMI stands for Body Mass Index
Body mass index of marathon runners = less than 26.8
The random samples = 35
The body mass index of the random samples = 22.7
Standard deviation = 3.1
Then the researchers will conduct a one sample t test for a population mean.
The one sample t-test is is defined as the hypothesis test that check whether the unknow population mean is different from the specific value
Here the samples are independent
Therefore, the condition for inference have been met
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What is equal to 2+1 1/5
Answer:
3 1/5
Step-by-step explanation:
.....
Please help me with this!
Answer: d
Step-by-step explanation:
Answer:
The answer is definitely D :)
In my bingo game you have to match 3 balls to win.
20 balls are drawn from a 60 ball total.
I’m able to deduce that I have a 1 / 34,220 chance of winning.
However, I win more like 1 / 100 attempts.
Please identify where my maths is going wrong:
My maths:
For the first ball there are 60 options.
For the second ball there are 59 options.
For the third ball there are 58 options.
I need to multiply these 3 options:
60 x 59 x 58 = 205,320
1 / 205,320.
However, the order of the numbers doesn’t matter, so we’ll exclude permutations from the total combinations:
Permutations = 3! = 3x2 = 6
205,320 / 6 = 34220
So to win a this game I have a 1 / 34,220 chance.
Why then am I winning 1/100 attempts? Something is very wrong.
Using the hypergeometric distribution, it is found that you are going to win approximately 3.33% of the time. The reason for the difference is that you considered that only 3 balls would be drawn, and not 20.
What is the hypergeometric distribution formula?The formula is:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.For this problem, the parameters are given as follows;
N = 60, k = 3, n = 20.
You win if you have the 3 correct balls, hence the probability is P(X = 3), found as follows:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = 3) = h(3,60,20,3) = \frac{C_{3,3}C_{60,20}}{C_{60,20}} = 0.0333\)
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Pls help on 1,2,3 I’m so confused
Answer:
1 4 2
Step-by-step explanation:
Answer:
the answer is
1
4
2
Step-by-step explanation:
The answer above
i need more characters for some reason
100 points and I will give brainlist but before I get released, I have to verify answers
A simplification of the fractions (-5/8) ÷ (-3/4) is equal to: B. -20/24.
The step in which Johnetta made her error include the following: A. step 1.
What is a fraction?In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
Based on the information provided above, the division can be calculated as follows;
Fraction = (-5/8) ÷ (-3/4)
Fraction = -5/8 × (-4/3)
Fraction = -20/24
For Johnetta, we have:
Fraction = 7/9 ÷ 3/8
Fraction = 7/9 × 8/3
Fraction = 56/27
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Find the pattern. What numbers come next?
61, 54, 47, 40,
Answer:
33
Step-by-step explanation:
It's decreasing by 7
The relation is the descending the series by 7 and the next term is 33.
We have to determine, find the pattern and what numbers come next
We have given that, 61, 54, 47, 40.
What is the series?
A series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other.
61-54=7
54-47=7
47-40=7
So the next term is
40-7=33
Therefore the relation is the descending the series by 7 and the next term is 33.
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Choose the expression that correctly compares 0.720 and 0.7200.
0.720 = 0.7200
0.720 > 0.7200
0.720 < 0.7200
Answer:
0.720=0.7200
Step-by-step explanation:
because 0.720 is equal to 0.72 only and even the 0.7200 is only 0.72 which are equal in quantity
Pauline Romer has taken a $100000 mortgage loan on her house at an interest rate of 3 percent per year. If the mortgage calls for 20 equal annual payments, what is the amount of each payment?
Answer:
5000
Step-by-step explanation:
Using the mortgage interest principle, the amount of equal payment to be made ls $8000
Mortgage payment = $100000
Interest rate = 3%
The total amount to repayed can be calculated thus :
Mortgage payment × interest rate × timeNumber of annual payments = 20
Total repayment = 100000(1 + (0.03 × 20))
Total repayment = 100000 + 60000 = $160,000
Amount of each payment = $160000 / 20 = $8000
Therefore, the amount to be repayed annually is $8000
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Convert 99f to celsuis
solve the exponential equation for x, 5^7x+5 = 125^2x-7
The value of is -26
How to determine the valueFirst, to determine the value of x, we need to know that index forms are described as mathematical forms that are used to represent numbers of values that are too small or large in more convenient forms
From the information given, we have that;
5⁷ˣ⁺⁵ = 125²ˣ⁻⁷
Now, make that the bases are like terms, we have that;
125 = 5³
Substitute the value and we have;
5⁷ˣ⁺⁵ = 5³⁽²ˣ⁻⁷⁾
Take the exponents, we get;
7x + 5 = 6x - 21
collect the like terms, we have;
7x - 6x = -21 - 5
x = - 26
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May I please get a little help with this question? Thank you so much.
The y-intercept of the function is (0, c)
The coefficients b determine the horizontal shift of the parabola compared to the parent function
If a is negative, the parabola opens downward
The y-intercept of the function is (0, c).
This means that when x = 0, the y-value is equal to c.
The constant term c represents the y-coordinate of the point where the parabola intersects the y-axis.
The coefficient b determines the horizontal shift of the parabola compared to the parent function.
The value of b affects the position of the vertex and determines if the parabola is shifted to the left or right.
A positive value of b shifts the parabola to the left, while a negative value of b shifts it to the right.
If a is negative, the parabola opens downward.
The coefficient a determines the shape of the parabola.
If a is positive, the parabola opens upward, and if a is negative, the parabola opens downward. The sign of a determines the direction in which the parabola faces.
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An item on sale costs 80% of the original price. The original price was 33%
The sale price of the item is given by the equation A = $ 26.40
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the sale price of the item be represented as A
Now , the equation will be
The original price of the item = $ 33
An item on sale costs 80% of the original price
So , the sale price of the item A = 80 % x original price of the item
Substituting the values in the equation , we get
The sale price of the item A = ( 80 / 100 ) x 33
The sale price of the item A = 0.80 x 33
The sale price of the item A = $ 26.40
Therefore , the value of A is $ 26.40
Hence , the sale price is $ 26.40
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WEEK 2 Direction: Answer the following problems. 1. Jun wanted to know how much ice cream he got in on scoop. The radius of a scoop is 2 inches. Find the volum Use 3.14 for pi. (SHOW YOUR SOLUTION) a) What is asked in the problem? b) What are the given facts? c) What is the formula to be used? d) Number Sentence e) Final answer. (show your solution pls)
We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.
a) The problem asks for the volume of ice cream in one scoop.
b) The given fact is that the radius of the scoop is 2 inches.
c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.
d) Number Sentence:
- Given: Radius (r) = 2 inches
- Formula: V = (4/3)πr³
- Substituting the value: V = (4/3)π(2)³
- Simplifying: V = (4/3)π(8)
- Evaluating: V = (4/3)(3.14)(8)
- Multiplying: V = 33.49333333 (approx.)
e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.
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Write a recursive sequence that represents the sequence defined by the following explicit formula:
The recursive sequence that represents the sequence defined by the following explicit formula is given as follows:
\(a_1 = -32\)\(a_{n + 1} = -\frac{1}{4}a_n\)What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n-1}\)
In which \(a_1\) is the first term.
The first term and the common ratio for this problem is given as follows:
\(a_1 = -32, q = -\frac{1}{4}\)
The common ratio means that each term is the previous term multiplied by -1/4, hence the recursive formula is given as follows:
\(a_{n + 1} = -\frac{1}{4}a_n\)
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15 pies a m regla de 3
Answer:
5m
Step-by-step explanation:
regla de 3:
1m = 3ft
15 pies ÷ 3 = 5m
The fact that 1 liter = 1.057 quarts can be written as the conversion factor
The conversion factor of litre to quarts is 1 litre = 1.057 quarts and its meaning is discussed below.
What is a conversion factor?
A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. The correct conversion factor to convert minutes to hours is 60 minutes = 1 hour.
The metric unit of a volume known as the litre is mostly used to measure liquids.
An English measurement of volume equal to the one-quarter gallon is the quart. There are now three different types of quarts in use: the liquid quart, dry quart, and imperial quart of the British imperial system.
The standard value of converting liquid to quarts is 1 litre = 1.057 quarts.
This means that volume of 1 litre of a substance is equivalent to the volume of 1.057 quarts of the same substance.
Therefore the conversion factor of litre to quarts is 1 litre = 1.057 quarts.
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The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
find the perimeter of the rectangle
5x+12
-x+3
Whoever answers both of them with right answer will get brainliest
Answer:
8x+30 for the first. 8x-20 for the second.
Step-by-step explanation:
The first is 2(-x+3)+10x+24
Second is 4(2x-5)
Order of operations, step by step
56-12 / 6+4
Answer:
58
Step-by-step explanation:
Order of operations:
ParenthesesExponentsMultiplication-DivisionAddition-SubtractionSolve:
56-12 / 6+4
56 - (12/6) +4 { No Multiplication but do have Division} (12/6 = 2)
56 - 2 + 4 {Subtraction ⇒ 56-2 = 54}
54 + 4 { Addition ⇒ 54 + 4 = 58}
Answer = 58
[RevyBreeze]
Camila has 6 bags of candy. She can pour 1/3 of a bag of candy into a bowl. How many bowls of candy can Camila make in all?
Answer:
18 Bowls of Candy
Step-by-step explanation:
Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.
Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.
Now, we can calculate the total number of bowls of candy:
Total bowls of candy = (Number of bags) x (Bowls per bag)
Total bowls of candy = 6 bags x 3 bowls per bag
Total bowls of candy = 18 bowls
Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.
What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101 I meant sorry lol
Answer:
The third angle is 55 degrees.
Step-by-step explanation:
1) The three angles of a triangle always add up to 180 degrees. So, add together 34 + 101 = 135.
3) Then, subtract 180 - 135 = 55 degrees, and this is the missing angle!
I hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your assignment. :)
Answer:
Hi, I think it's 55 degrees.
Step-by-step explanation:
If you add 34 and 101, then subtract 180 from that, it's 55.
If i have 19 croc pins and 50 hydroflasksksk how may visco items do I have.
Answer:
a lot of back sksksksksk
Which of the following ratios would form a proportion with Two-thirds?
a.
Three-fourths
c.
StartFraction 12 Over 15 EndFraction
b.
StartFraction 6 Over 9 EndFraction
d.
One-third
The proportion equivalent with Two-thirds would be 6/9.
Since we know that the proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that the proportion with Two-thirds
If you actually divide it’ll make since , so first we want to divide the 2 , then you want to multiply the third of the two
2/3 x 3/3
6/9
thus, the answer will be 6/9.
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