Find the HEIGHT of the rectangular prism given its surface area is 238 square yards.
Answers
Answer:
Height = 5
Step-by-step explanation:
Related Questions
word problem of addition or subtraction
Answers
Answer:
subtraction
Step-by-step explanation:
In order to find out how many more flowers you need, you need to subtract both of the numbers to get the difference.
Answer:19
Step-by-step explanation:subtract 27 from 8.
If a(x) = 3x + 1 and p(x)= x-4, what is the domain of (b•a)(x)?
Answers
Answer:
all real numbers
Step-by-step explanation:
Both a(x) and b(x) are polynomials. The set of polynomials is closed on multiplication, so (b•a)(x) will also be a polynomial. All polynomials are defined for all real numbers. The domain is the set of input values (x) for which the function is defined.
The domain of (b•a)(x) is all real numbers.
Multiply the fraction by the whole number. Find the answer as a proper fraction or mixed number in simplest terms. *
3 x 4/5: options
*2 3/5
*1 2/5
*2 1/5
*2 2/5
Answers
Answer:
2[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Whole numbers can be seen as the number over 1. So, 3 can also be written as [tex]\frac{3}{1}[/tex]. To do [tex]\frac{3}{1}[/tex] x [tex]\frac{4}{5}[/tex] you just multiply across (3x4 and 1x5). Doing so gets you [tex]\frac{12}{5}[/tex]. Since 12 is bigger than 5, you need to find out how many times 5 fits into 12, which is 2 times. This means 2 is the whole number, however you're still left with 2 from the fraction [tex]\frac{12}{5}[/tex], since 2x5 is just 10. You write the remaining 2 as [tex]\frac{2}{5}[/tex], because that's what the original denominator was. The final answer is 2[tex]\frac{2}{5}[/tex].
Some people take the early retirement option at age 62. According to the Social Security Administration, if you retire at age 62, your retirement benefits will be permanently reduced by 25%. If your monthly benefit, at full retirement age (67), would have been $1300 per month, and you retire at age 62, how much would you lose in total annual income over one year?
Answers
Answer:
$3900.
Step-by-step explanation:
If retirement is taken at the age of 67 years, income = $1300 per month.
% Loss, if retirement taken at the age of 62 years = 25% per month
Loss in dollars per month if retirement taken at the age of 62 years = 25% of Monthly income if retirement is taken at the age of 67 years
[tex]\Rightarrow \dfrac{25}{100} \times 1300\\\Rightarrow \dfrac{1300}{4}\\\Rightarrow 325 \$[/tex]
We know that there are 12 months in an year.
So, annual loss in total annual income over one year:
Loss in dollars per month [tex]\times[/tex] 12 :
325 [tex]\times[/tex] 12 = 3900$
Answer: $3,900
Step-by-step explanation:
What you usually make:
$1300 * 12 months = $15600
What you make with the cut:
$1300 * 0.75 = $975
* 12 months = $11700
15600-11700 = $3900
A roulette wheel has 38 slots, of which 18 are black, 18 are red,and 2 are green. When the wheel is spun, the ball is equally likelyto come to rest in any of the slots. One of the simplest wagerschooses red or black. A bet of $1 on red returns $2 if the balllands in a red slot. Otherwise, the player loses his dollar. Whengamblers bet on red or black, the two green slots belong to thehouse. Because the probability of winning $2 is18/38, the meanpayoff from a $1 bet is twice 18/38, or 94.7 cents. Explain what the law of large numberstells us about what will happen if a gambler makes very many betson red.
Answers
Answer:
Step-by-step explanation:
The question says,
A roulette wheel has 38 slots, of which 18 are black, 18 are red,and 2 are green. When the wheel is spun, the ball is equally likely to come to rest in any of the slots. One of the simplest wagers chooses red or black. A bet of $1 on red returns $2 if the ball lands in a red slot. Otherwise, the player loses his dollar. When gamblers bet on red or black, the two green slots belong to the house. Because the probability of winning $2 is 18/38, the mean payoff from a $1 bet is twice 18/38, or 94.7 cents. Explain what the law of large numbers tells us about what will happen if a gambler makes very many betson red.
The law of large numbers tells us that as the gambler makes many bets, they will have an average payoff of which is equivalent to 0.947.
Therefore, if the gambler makes n bets of $1, and as the n grows/increase large, they will have only $0.947*n out of the original $n.
That is as n increases the gamblers will get $0.947 in n places
More generally, as the gambler makes a large number of bets on red, they will lose money.
Sam conducted a survey to determine your favorite flavor of ice cream is his hometown. 15 of the 50 people he surveyed liked strawberry best. How many of the 3,500 residents in the town would you expect to like strawberry best
Answers
Answer: 1050 people.
Step-by-step explanation: It's a rule of three question.
15/50 as x/3500
Then you have that 50x = 52500
x = 1050
There you have it.
Find the 69th term of the following arithmetic sequence.
6, 15, 24, 33,
Answers
Answer:
414
Step-by-step explanation:
6 x 69= 414
Answer:
618
Step-by-step explanation:
9n-3
9 x 69 - 3
= 618
........
Find the ratio a:b, if it is given that ...
7a=3b
Answers
Answer:
a:b
3:7
Step-by-step explanation:
a:b also means a/b
Taking the equation
7a = 3b
Dividing each side by b
7a/b = 3b/b
7 a/b = 3
Divide each side by 7
a/b = 3/7
The ratio is 3/7
a:b
3:7
Answer:
a:b = 3/7
Step-by-step explanation:
we need to find the ratio a:b which is the same as a/b.
7a=3b
Devide left and right of the = sign by b gives
7a/b = 3 * b/b
7a/b = 3 * 1
7a/b = 3
Multiply left and right of the = sign by 1/7 gives
1/7 * 7a/b = 1/7 * 3
7/7 * a/b = 3/7
1 * a/b = 3/7
a/b = 3/7
Since a/b is the same as a:b, we now have the answer.
a:b = 3/7
This table shows Jill’s math quiz scores. What is the minimum score she needs on her next quiz to have a mean of at least 92?
90
94
88
92
Answers
Answer:
~ Jill needs a minimum score of 90% to recieve an average of at least 92% on all her math quizzes ~
Step-by-step explanation:
1. The table shows that her past weeks math quiz scores are: 92, 96, 94, 88
2. If she were to get a mean, or average, of at least 92, we could set up an equation to determine the minimum score she will recieve on her next quiz:
92 + 96 + 94 + 88 + x/ 5 = 92 ⇒ (where x is the minimum score she should recieve on her next quiz to get an average of at least 92%)
3. Now let us solve this equation for x through simple algebra ⇒
92 + 96 + 94 + 88 + x/ 5 = 92 ⇒
370 + x/5 = 92 ⇒
x/5 + 74 = 92 ⇒
x/5 = 18
x = 90
4. Jill needs a minimum score of 90% to recieve an average of at least 92% on all her math quizzes
Answer: She would need a 90
Step-by-step explanation: I did the iready
Tres empresas de transporte terrestre cumplen el recorrido Lima - Piura, siendo la longitud del trayecto de aproximadamente 1 000 km. La frecuencia de salida es de 10, 12 y 15 días, respectivamente. Si el 14 de marzo tuvieron una partida simultánea, ¿cuántas veces vuelven a coincidir en su partida hasta el 31 de julio?
A)1 B) 2 C) 3 D) 4
Answers
Answer:
B) 2
Step-by-step explanation:
We have to find the interval of time for which they begin the traject simultaneously.
One begins each 10 days, other each 12 and other each 15. So to find the number of days before dey start together, we have to find the lesser common multiple(non-zero) between 10,12, and 15.
M(10) = {0,10,20,30,40,50,60,...}
M(10) are the multiples of 10.
M(12) = {0,12,24,36,48,60,...}
M(15) = {0,15,30,45,60,...}
So the lesser common multiple between 10,12 and 15 is 60.
This means that they will begin together each 60 days.
So, first on March 14, after that:
60 days is approximately months.
So approxiately on May 14, and then approximately on July 14
That is, two times before July 31.
So the correct answer is:
B) 2
A mother decides to teach her son about a letter each day of the week. She will choose a letter from the name of the day. For example, on Saturday she might teach about the letter S or the letter U, but not the letter M.
1. What letters are possible to teach using this method? (There are 15.)
2. What are 4 letters that can't be taught using this method?
3. On TUESDAY, the mother writes the word on a piece of paper and cuts it up so that each letter is on a separate piece of paper. She mixes up the papers and picks one. What is the probability that she will choose the piece of paper with the letter Y? Explain your reasoning.
Answers
Answer: 1. A,D,E,F,H,M,N,O,R,S,T,U,W,Y
2. B,C,G,J,K,L
3. the probability would be 7
Step-by-step explanation: i tried my best ig
Help me please!!!! If you do this correct, I will mark you the brainliest and this question is worth 50 points so please help me!!!
Answers
Answer:
B and C .. thhx
Step-by-step explanation:
y = x^2 - 7x - 5
y = -2x + 19
Subtract:
y-y = x^2 - 7x - 5 - (-2x + 19)
Simplify:
o = x^2 - 5x - 24
Solve the polynomial by finding two numbers when added together equal -5 and when multiplied by each other equal -24
x = -3 and x = 8
Now replace x in the first equation with -3 and solve for y, then replace x with 8 and solve:
y = x^2 -7x -5: y = -3^2 - 7(-3) - 5 = 9 + 21 - 5 = 25
y = 8^2 - 7(8) -5 = 3
The answers are (8,3) and (-3,25)
You purchased a bond 75 days ago for $911.72. You received an interest payment of $32.00 68 days ago. Today the bond’s price is $993.39.
What is the holding period return (HPR) on the bond as of today?
Answers
Answer:
Holding Period Return (HPR) = 12.47% (Approx)
Step-by-step explanation:
Given:
Purchase price of bond = $911.72
Interest received = $32
Ending price of bond = $993.39
Find:
Holding period return (HPR) = ?
Computation:
⇒ Holding Period Return (HPR) = [Ending price of bond - Purchase price of bond + Interest received] / Purchase price of bond
⇒ Holding Period Return (HPR) = [$993.39 - $911.72 + $32] / $911.72
⇒ Holding Period Return (HPR) = [$113.67] / $911.72
⇒ Holding Period Return (HPR) = 0.12467
⇒ Holding Period Return (HPR) = 12.47% (Approx)
Solve |6k + 12| + 9=9 for k
Answers
6k+12=0
K=12/6= -2 or 2
Answer:
k= -2
Step-by-step explanation:
Lola has h hats. Polly has triple as many hats as Lola. Darla has eight less hats than Polly.
a. Write an expression for how many hats each person has in terms of h.
Answers
Answer:
number of Lola hats = h
number of Polly hats = 3h
number of Darla hats = 3h - 8
Step-by-step explanation:
Lola has h number of hats . Polly has triple as many as Lola . Then Darla has eight number of hat less than Polly. The expression for how many hat each person has in terms of h can be express below.
Let
number of Lola hats = h
number of Polly hats = 3h (recall Polly has triple as many as Lola)
number of Darla hats = 3h - 8(Note Darla has 8 number less of hats than Polly who already have 3h number of hats)
The simplest way to explain this is that Lola has h number of hats. This means she has h number of hats .Polly has triple of Lola hats, this implies that 3 times h of Lola hats is Polly hats. Then finally Darla hats is 8 less than Polly hats. This simply means if you subtract 8 from Polly's hats you have gotten Darla's hats.
Given the graph and the equation y= (x + 3) - 2, which one has the smaller minimum and by how mucha
A
The graph by one unit
B)
The graph by five units
The equation by one unit
D)
The equation by five units
Answers
Answer:
A
Step-by-step explanation:
The average lifetime of a set of tires is three years. The manufacturer will replace any set of tires failing within two years of the date of purchase. The lifetime of these tires is known to follow an exponential distribution. What is the probability that the tires will fail within two years of the date of purchase?
Answers
Answer:
48.67% probability that the tires will fail within two years of the date of purchase
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
In this question:
[tex]m = 3, \mu = \frac{1}[3}[/tex]
[tex]P(X \leq 2) = 1 - e^{-\frac{2}{3}} = 0.4867[/tex]
48.67% probability that the tires will fail within two years of the date of purchase
What is the probability of rolling a sum of 5 on at least one of two rolls of a pair of number cubes?
Answers
The teacher decides that no student can win twice, so she removes the tickets of the first winner before drawing the second winner. What is the probability that she draws Kitzen first and then Ava second? Use a / to represent a fraction bar.
Answers
Answer:
3/4
Step-by-step explanation:
Take Kitzen's number of raffle tickets and put them over Ava's tickets to give you 12/16 and the simplify which gives you 3/4 because the fraction is divisible by 4.
Employees at a manufacturing plant have seen production
rates change by approximately 105% annually. In contrast,
the graph shows the change in the average annual wages
of the employees
Which statement accurately compares the annual change
in production to the annual change in average salary?
50.000
50.000
0 The annual changes cannot be compared because the
initial production value is unknown.
The annual change in production will, at some point,
exceed the annual change in average salary
The annual change in production increases at a slower
rate, 5% per year, than the annual increase in the
average salary, $500 per year.
The annual change in production increases at a slower
rate, 105% per year, than the annual increase in average
salary, $500 per year
40
30.000
20.000
10.000
Answers
Answer:
both measures show strong growth in CEO
Step-by-step explanation:
350 firms in 2018 was $17.2 million- or $14.0 both show that they have a strong growth in the last 2 years.
Answer:
The answer is B "The annual change in production has exceeded the annual change in the average salary."
Step-by-step explanation:
Yes
Which expression is equivalent to 5(2+7)
A. 2(5+7)
B. 2+7(5)
C. 5(2)+7
D.5(2)+5(7)
Answers
Answer:
D
Step-by-step explanation:
So 5(2+7) equals 45
A. 2(5+7)=24
B. 2+7(5)=37
C. 5(2)+7=17
D.5(2)+5(7)=45
Only D equals 45
Hope I helped :D
Complete the solution of the equation. Find the
value of y when x equals o.
6% - 2y = 14
Enter the correct answer
OOD
BONE
Answers
Calculate the area for the shape above. Round answer to the nearest hundredths
Answers
Answer:
400
Step-by-step explanation:
20 x 20= 400
Answer:
I'd say that if it is the total area square and half of the circle. the answer could be 557.08
Step-by-step explanation:
area of the square 20*20= 400
area of the circle= Pi*radio to the square divided by two cause its only the half of a circle so it is like 3.1416*10^2=100*3.1416=714.16/2=157.08
now we can sum up the square area and the circle
400+157.08= 557.08
I'm not actually sure itll depend if the wide and height of the square is the same. here im guessing that its 20 both. and another thing I didnt round the answer it was just that
simplify- 5^23 x 5^15
Answers
Answer:5^38
Step-by-step explanation:
5^23 x 5^15
5^(23+15)
5^38
A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than 15 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. Based on a sample of wind speed recordings (taken at random intervals), the wind speed at the site averaged with a standard deviation of To determine whether the site meets the organization's requirements, consider the test, where μ is the true mean wind speed at the site and Fill in the blanks. "A Type I error in the context of this problem is to conclude that the true mean wind speed at the site _____ 15 mph when it actually _____ 15 mph."
Answers
Answer:
"A Type I error in the context of this problem is to conclude that the true mean wind speed at the site is higher than 15 mph when it actually is not higher than 15 mph."
Step-by-step explanation:
A Type I error happens when a true null hypothesis is rejected.
In this case, as the claim that want to be tested is that the average wind speed is significantly higher than 15 mph, the null hypothesis has to state the opposite: the average wind speed is equal or less than 15 mph.
Then, with this null hypothesis, the Type I error implies a rejection of the hypothesis that the average wind speed is equal or less than 15 mph. This is equivalent to say that there is evidence that the average speed is significantly higher than 15 mph.
"A Type I error in the context of this problem is to conclude that the true mean wind speed at the site is higher than 15 mph when it actually is not higher than 15 mph."
A regulation baseball can weigh no more than 149 grams. A factory produces baseballs with weights that are normally distributed with a mean of 146 grams and a standard deviation of 2.3 grams. (a) If a baseball produced by the factory is randomly selected, what is the probability that it is within regulation weight? (b) The baseballs are shipped in boxes of 16. What is the probability that at least 15 of the 16 baseballs in a pack are within regulation weight? (c) The factory will not ship a box of 16 if the average weight of the baseballs in the box exceeds 147 grams. What is the probability that a pack of 16 baseballs would have an average weight of more than 147 grams?
Answers
90.32% probability that it is within regulation weight
(a) The probability that a selected ball is within regulation weight is 84%.
(b) Probability of at least 15 of 16 balls withing regulation weight is 10.5%.
(c) The probability of average weight of more than 147 grams is 66.67%.
Probability of baseball within regulation weightThe probability of baseball within regulation weight is calculated as follows;
one standard deviation above the mean = M + d = 84%
two standard deviation above the mean = M + 2d = 98%
where;
M is the meand is standard deviationone standard deviation above the mean = 146 g + 2.3 g = 148.3 g
two standard deviation above the mean = 146 g + 2(2.3g) = 150.6 g
150.6 g is above regulation weight.
Thus, when a baseball is randomly selected, the probability that it is within regulation weight is 84%.
Probability of at least 15 balls out of 16 balls;outcome = (15, 16) = 2 outcome
P = 2/16 x 84%
P = 10.5%
Probability of average weight of more than 147 gramsMean of the distribution = 146 = 50%
Average weight more than 147g = ?
Maximum weight of 149g = 100%
(147 - 146)/(149 - 146) = (? - 50)/(100 - 50)
0.333 = (? - 50)/(50)
50(0.333) = ? - 50
? = 50(0.333) + 50
? = 66.67%
Learn more about probability here: https://brainly.com/question/24756209
Today, high tide measured 7.5 ft and low tide measured 3 ft. What is the amplitude of a cosine function modeling the depth of the water in feet as a function of time in hours?
Answers
Answer:
The amplitude of wave is [tex]A = 2.25\,ft[/tex].
Step-by-step explanation:
The amplitude is computed by using the following expression:
[tex]A = \frac{7.5\,ft - 3\,ft}{2}[/tex]
[tex]A = 2.25\,ft[/tex]
Answer:
2.25 ft
Step-by-step explanation:
PLEASE HELP ASAP!! MARKING AS BRAINLIEST!!!!!! 23 POINTS!! HELP PLSPLSPLSPLSPLSPLSPLSPLS Which of the following is equivalent tan[tex](\frac{5\pi }{6})[/tex] ?
A. cot[tex](\frac{5\pi }{6})[/tex]
B. tan[tex](\frac{7\pi }{6})[/tex]
C. tan[tex](-\frac{5\pi }{6})[/tex]
D. tan[tex](-\frac{\pi }{6})[/tex]
THANKS!
Answers
Answer:
D
Step-by-step explanation:
Because of how they have a pie and a six involved meaning if you were to divided both you could get the same thing.
Answer:
tan(-pie/6)
Step-by-step explanation:
Identify the graph of y=2^x+3
Answers
could you show me a picture so maybe i can answer it please
Assume you have a safe code that is 8 digits long. The numbers 0-9 may be used for any digit. How many possible codes are there? Show your work and leave your answer in either exponential or factorial form.
Answers
Answer:
10^8 choices
Step-by-step explanation:
You have 10 numbers to choose from for each digit of the code.
There are 8 digits of the code.
You have 10*10*10*10*10*10*10*10 = 10^8 choices in total.
Number of possible codes are [tex]10^{8}[/tex]
What is Permutation?In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements
Given,
Number of digits in passcode = 8
The numbers 0-9 may be used for any digit. Therefore total of 10 numbers
Here repetition is allowed.
Therefore, each of the 8 vacant place can be filled in the succession of 10 different ways
Number of possible codes are = 10×10×10×10×10×10×10×10 = [tex]10^{8}[/tex]
Hence, the number of possible codes are [tex]10^{8}[/tex]
Learn more about Permutation here
https://brainly.com/question/1216161
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