How many pieces of 10 5/6 inch bar can be cut from a stock 29 foot bar
Answers
20 pieces of 10 5/6 inch bar can be cut from a stock 29 foot bar.
To calculate the number of pieces of 10 5/6 inch bar that can be cut from a 29 foot bar, we need to first convert the measurements to a common unit. One foot is equal to 12 inches, so 29 feet equals 348 inches.
Next, we need to determine how many 10 5/6 inch bars can be cut from the 348-inch stock bar. To do this, we can use division. First, we need to convert the mixed number 10 5/6 to an improper fraction by multiplying the whole number by the denominator and adding the numerator. This gives us 125/6 inches.
Now, we can divide the length of the stock bar (348 inches) by the length of one 10 5/6 inch bar (125/6 inches). This gives us:
348 / (125/6) = 20.736
Since we cannot cut a partial bar, we need to round down to the nearest whole number. Therefore, we can cut 20 pieces of 10 5/6 inch bar from a 29 foot stock bar.
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Related Questions
What values of x will satisfy the inequality 4x + 2 > 10?
Answers
Answer:
x > 2
Step-by-step explanation:
4x + 2 > 10
Subtract 2 from both sides;
4x > 8
Divide both sides by 4;
x > 2
Answer:
x > 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Property
Step-by-step explanation:
Step 1: Define
4x + 2 > 10
Step 2: Solve for x
Subtract 2 on both sides: 4x > 8Divide 4 on both sides: x > 2Here we see that any value x greater than 2 would work as a solution to the inequality.
GIVING BRAINLIEST TO THE PERSON WHO ANSWERS CORRECT
Answers
The areas of the bars distort the comparison.
What is a misleading graph?A misleading graph is a graphical depiction of data that has been altered or altered in a way that is erroneous or misleading. Unintentionally, as a result of confusion or a lack of information about how to show the data correctly, a misleading graph might be produced with the purpose to mislead.
Misleading graphs could change the axes' scale, use several scales for various regions of the graph, use incorrect labelling or units, or omit or exaggerate specific data points.
Hence, the areas of the bars distort the comparison.
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A textbook store sold a combined total of 288 history and chemistry textbooks in a week. The number of chemistry textbooks sold was 72 less than the number of history textbooks sold. How many textbooks of each type were sold?
Answers
The number οf histοry bοοks is 180 that sοld in a week. The number οf chemistry textbοοks is 108 sοld in a week.
What is an equatiοn?There are many different ways tο define an equatiοn. The definitiοn οf an equatiοn in algebra is a mathematical declaratiοn that illustrates the equality οf twο mathematical expressiοns.
Given that the tοtal number οf bοοks that sοld in a week is 288.
The number οf chemistry textbοοks sοld was 72 less than the number οf histοry textbοοks sοld.
Assume that the number οf histοry textbοοks sοld was x.
The number οf chemistry textbοοks sοld was (x-72)
The tοtal number οf bοοks sοld was x + (x-72) = 2x - 72.
Accοrding tο the questiοn:
2x - 72 = 288
Add 72 frοm bοth sides:
2x - 72 + 72 = 288 + 72
2x = 360
Divide bοth sides by 2:
x = 360/2
x = 180
The number οf histοry textbοοks sοld was 180.
The number οf chemistry textbοοks sοld was (180-72) = 108.
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1a-f please help i would appreciate it.
Answers
Answer:
c is the answer
Step-by-step explanation:
What does the following statement do?
double *num2;
A) Declares a double variable named num2.
B) Declares and initializes an pointer variable named num2.
C) Initializes a variable named *num2.
D) Declares a pointer variable named num2.
E) None of these
Answers
The statement "double *num2;" declares a pointer variable named num2. Option D) "Declares a pointer variable named num2" is the correct answer.
The asterisk (*) before the variable name indicates that num2 is a pointer variable. Pointers are variables that store memory addresses rather than values directly. In this case, the pointer variable num2 is expected to hold the memory address of a double type variable. However, the statement does not initialize the pointer or assign any specific memory address to it.
Therefore, The statement "double *num2;" declares a pointer variable named num2. Option D) "Declares a pointer variable named num2" is the correct answer.
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The statement 'double *num2;' declares a pointer variable named num2.
The statement 'double *num2;' is used to declare a pointer variable named num2. In programming, a pointer is a variable that stores the memory address of another variable. The asterisk (*) is used to indicate that num2 is a pointer variable. The 'double' keyword is used to specify the type of variable that num2 can point to, in this case, a double variable.
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72% of the students in Math 6 at AZVA are currently mastering there lessons. If 306 students are mastering their math lessons, how many students are in math 6?
Answers
Answer:
425
Step-by-step explanation:
72%of425 is 306
Answer:
306/x = 72/100
72x= 306 x 100
72x = 30600
X = 425
Step-by-step explanation:
Please help me I’m not really good at math.
Answers
Answer:
8
Step-by-step explanation:
since B. Crosses through the middle, we can see that 4x+1 = 33.
simplest way:
Easily, multiply 4 multiple times till you receive 32.
so, multiply 4 x 8 to receive 32.
Then add 1 to 32.
33.
Answer 8. because 4x8+1=33.
Warren earns $21.75 per hour and worked 36.5 hours last week and 32 hours the
week before. What is Warren's gross pay for the two weeks? Show your work.
Answers
Answer:
$1,489.88 (nearest cent)
Step-by-step explanation:
To calculate gross pay, multiply the number of hours worked by the pay per hour.
Warren worked 36.5 hours one week and 32 hours the week before.
Therefore, the total number of hours Warren worked was:
36.5 + 32 = 68.5 hoursMultiply the total number of hours worked by Warren's rate of pay of $21.75 per hour:
68.5 × 21.75 = 1489.875Therefore, Warren's gross pay for the two weeks was $1,489.88 (nearest cent).
Answer:
$1489.875
Step-by-step explanation:
Warren's gross pay for 36.5 hours last week can be calculated as follows:
Gross pay for 36.5 hours = $21.75/hour * 36.5 hours = $793.875
Similarly, Warren's gross pay for 32 hours the week before can be calculated as follows:
Gross pay for 32 hours = $21.75/hour * 32 hours = $696
Adding the gross pay for the two weeks, we get:
Gross pay for 2 weeks = $793.875 + $696 = $1489.875
Please prove by mathematical induction.
4) Prove that 3 ||n3 + 5n+6) for any integer n 20. n
Answers
To prove the statement that 3 divides (n³ + 5n + 6) for any integer n ≥ 20 using mathematical induction, we will show that the statement holds for the base case (n = 20) and then assume it holds for an arbitrary value of n and prove it for (n + 1).
Base case (n = 20):
Substitute n = 20 into the expression (n³ + 5n + 6):
(20³ + 5 * 20 + 6) = 9266
Since 9266 is divisible by 3 (9266 = 3 * 3088), the statement holds for the base case.
Inductive step:
Assume that the statement holds for an arbitrary value of n, denoted as k, i.e., 3 divides (k³ + 5k + 6).
Now we need to prove that the statement holds for (k + 1), i.e., 3 divides ((k + 1)³ + 5(k + 1) + 6).
Expand the expression ((k + 1)³ + 5(k + 1) + 6):
(k³ + 3k² + 3k + 1 + 5k + 5 + 6) = (k³ + 5k + 6) + (3k² + 3k + 6)
By the induction hypothesis, we know that (k³ + 5k + 6) is divisible by 3. Now we need to show that (3k² + 3k + 6) is also divisible by 3.
Factoring out 3 from (3k² + 3k + 6), we get: 3(k² + k + 2).
Since k² + k + 2 is an integer, we conclude that (3k² + 3k + 6) is divisible by 3.
Therefore, the statement holds for (k + 1).
By the principle of mathematical induction, we have shown that the statement "3 divides (n³ + 5n + 6)" holds for any integer n ≥ 20.
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You have been given the following set of data: 1, 2, 1, 3, 2, 1, 9. Which of the following is the better measure of central tendency for this data set?range, mode, variables or median
Answers
The set of data we have is:
\(1,2,1,3,2,1,9\)To represent the central tendency, we need a measure that is representative of most of the data we have. In the case that the values are similar or there is not much variation, it is most common to use the mean.
But in cases like the one, we have in this problem where most of the values are close together like 1, 2, or 3, and then we have a "much" greater or different value, like the 9 we have in the set, it is better to use the median.
The Median will be a better measure of the central tendency because it will reflect where most of the values of the set of data are located, and the 9 will not affect as much as it can affect by using the mean.
Answer: Median
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer: 2.5, 5.3
Step-by-step explanation:
\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)
A study of iron deficiency among infants compared samples of infants following different feeding regimens. One group contained breastfed infants, while the infants in another group were fed by a standard baby formula without any iron supplements. The summary results on blood hemoglobin levels at 12 months of age are provided below. Furthermore, assume that both samples are sampled from populations that are reasonably normally distributed. (M.F. Picciano and R.H. Deering?The influence of feeding regimens on iron status during infancy,? American Journal of Clinical Nutrition, 33 (1980), pp. 746-753)
Group n x s
Breast-fed 23 13.3 1.7
Fourmula 19 12.4 1.8
(a) Test the hypothesis that there is a difference in the population means between breast-fed infants and formula-fed infants at α = 0.05. Assume the population variances are unknown but equal.
(b) Construct a 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants. Assume the population variances are unknown but equal.
(c) Write at least one complete sentence describing how your answers to parts (a) and (b) yield the same conclusion about whether there is a difference in the mean blood hemoglobin levels. Hint: Be sure to use the number 0 when discussing the conclusions.
Answers
A. statistically significant difference in the mean blood hemoglobin levels between breastfed infants and formula-fed infants at α = 0.05.
B. the 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants is (−0.06, 1.18).
C. Both the hypothesis test and the confidence interval lead to the same conclusion that there is a difference in the mean blood hemoglobin levels between the two feeding regimens.
What is null hypothesis?
In statistics, the null hypothesis (H0) is a statement that assumes that there is no significant difference between two or more groups, samples, or populations.
(a) To test the hypothesis that there is a difference in the population means between breast-fed infants and formula-fed infants, we can use a two-sample t-test with equal variances. The null hypothesis is that the population means are equal, and the alternative hypothesis is that they are not equal. Using α = 0.05 as the significance level, the critical value for a two-tailed test with 40 degrees of freedom is ±2.021.
The test statistic can be calculated as:
t = (x1 - x2) / (Sp * √(1/n1 + 1/n2))
where x1 and x2 are the sample means, Sp is the pooled standard deviation, and n1 and n2 are the sample sizes. The pooled standard deviation can be calculated as:
Sp = √(((n1 - 1) * s1² + (n2 - 1) * s2²) / (n1 + n2 - 2))
where s1 and s2 are the sample standard deviations.
Plugging in the values from the table, we get:
t = (13.3 - 12.4) / (1.776 * √(1/23 + 1/19)) = 2.21
Since the absolute value of the test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is a statistically significant difference in the mean blood hemoglobin levels between breastfed infants and formula-fed infants at α = 0.05.
(b) To construct a 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants, we can use the formula:
(x1 - x2) ± tα/2,Sp * √(1/n1 + 1/n2)
where tα/2,Sp is the critical value of the t-distribution with (n1 + n2 - 2) degrees of freedom and α/2 as the significance level.
Plugging in the values from the table, we get:
(x1 - x2) ± tα/2,Sp * √(1/n1 + 1/n2)
= (13.3 - 12.4) ± 2.021 * 1.776 * √(1/23 + 1/19)
= 0.56 ± 0.62
Therefore, the 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants is (−0.06, 1.18).
(c) The hypothesis test and the confidence interval both lead to the conclusion that there is a difference in the mean blood hemoglobin levels between breast-fed infants and formula-fed infants. In part (a), we rejected the null hypothesis that the population means are equal, which means we concluded that there is a difference. In part (b), the confidence interval does not contain 0, which means we can reject the null hypothesis that the difference in means is 0 at the 95% confidence level.
Therefore, both the hypothesis test and the confidence interval lead to the same conclusion that there is a difference in the mean blood hemoglobin levels between the two feeding regimens.
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find a number whose sum is 36 and their difference is 10 what are the numbers and its calculation
Answers
Answer:
x=23, y=13
Step-by-step explanation:
x+y=36
x-y=10
23+13=36
23-13=10
Select the correct answer.
7
3
77
X
A) 363
C) 7
B) 33
D) 77
Answers
Answer:
B) 33
Step-by-step explanation:
Therefore the sides are in the same ratio
This implies , 3/7=x/77
=> x= 3*77/ 7
x= 33
Hope it helps :))
solve the equation by completing the square x^2-3x-18=0
Answers
Answer:
x = -3, 6
Step-by-step explanation:
First, add 18 to both sides
x² - 3x - 18 = 0
+ 18 + 18
x² - 3x = 18
Add 9/4 to both sides because that is the square of half of -3
x² - 3x + 9/4 = 18 + 9/4
Multiply both sides by 4 to get rid of the fractions
(x² - 3x + 9/4 = 18 + 9/4)4
4x² - 12x + 9 = 72 + 9 = 81
Factor the left side of the equation
(2x - 3)² = 81
√(2x - 3)² = √81
Because of the square root, this will result in a positive number and a negative number
2x - 3 = 9
2x - 3 = -9
For both equations, add 3 to both sides then divide by 2
2x - 3 = 9
+ 3 +3
2x = 12
2x/2 = 12/2
x = 6
2x - 3 = -9
+ 3 + 3
2x = -6
x = -3
A music collection includes 19 ROCK CDs, 12 COUNTRY CDs, 6 CLASSICAL CDs, and 5 HIP HOP
CDs. What is the probability that a CD randomly selected from the collection IS NOT a classical
CD?(answer as simplified fraction)
Answers
Answer:
the answer is 6/7.
you're welcome.
Plz help its a quick question
x^5 . x^7
Answers
Answer:
It is just x for both of them
Step-by-step explanation:
A variable by itself is counted as one and 1 x 1 x 1 x 1 x 1 = 1 so its just x its the same for x^7
What is the measure of angle C?
Answers
Answer: A: 90 degrees
Step-by-step explanation:
The measure of angle C is 90 degrees as BD and BC are chords to the circle.
PLEASE PLEASE HELP WILL MARK BRAINIEST PLEASEEEE
the measure of angle a is -2x+35 degrees. the measure of angle b is quadruple angle a. write an expression for their sum.
Answers
Answer:
= -10x + 175
Step-by-step explanation:
(4(-2x+35)) + (-2x+35)
= -8x+140 - 2x + 35
= -10x + 175
Chase bought a PlayStation 5 for $320 after a 20% discount. How much was the Playstation 5 originally?
Answers
Answer:
$4600 I think soooo yhhhh
Free brainleist question
Whats (9+10) Times 15
Answers
Answer:
135
Step-by-step explanation:
(9+10)=19
19•15
135
Nathan sells 10 cups of lemonade for $1.00 each. It cost him $0.25 to make
each cup. Which expression represents Nathan's profit?
Answers
Answer:
Maybe 2500 i dont know i forgot
Step-by-step explanation:
.25 Times 10 is 2.5 and then 1 times 10 is 10 and 10-2.5=7.5 therefore 10(1-0.25)
What's the product of 72 and 56
Answers
Answer: 4032
Step-by-step explanation:
72x56=4032
Answer:
The product of 72 and 56 is 4,032.
Step-by-step explanation:
"Product" means multiplication, so you need to multiply 72 by 56. I'm soo sorry if that's wrong :(
For each offspring genotype in the Punnett square you just completed, determine the phenotype. In other words, what is the predicted fur color and eye color of the offspring? Using your Punnett square from the last step, fill in the predicted fraction for each phenotype in the data table below. (other ppl got it wrong, so here is the answer)
answer:
(predicted fractions)
16/16
0/16
0/16
0/16
(predicted percentage)
100%
0%
0%
0%
Answers
Answer:
(predicted fractions)
16/16
0/16
0/16
0/16
(predicted percentage)
100%
0%
0%
0%
a common recurrence is: t(n) = 2t(n/2) n what is its solution and what are some algorithms it describes?
Answers
The given recurrence relation is t(n) = 2t(n/2) + n. Its solution can be found using the Master Theorem, which is applicable to recurrence relations of the form T(n) = aT(n/b) + f(n).
Let's provide a step-by-step explanation for solving the given recurrence relation, t(n) = 2t(n/2) + n, using the Master Theorem:
The given recurrence relation is of the form t(n) = a * t(n/b) + f(n), where a = 2, b = 2, and f(n) = n.
To find the solution using the Master Theorem, we compare f(n) with n^(log_b(a)), which is n^(log_2(2)) = n.
In this case, f(n) = n and n^(log_b(a)) = n^(log_2(2)) = n^1 = n. Since f(n) is of the same order as n^(log_b(a)), we fall into case 2 of the Master Theorem.
According to case 2, if f(n) = Θ(n^c * log^k(n)), where c = log_b(a), then the solution to the recurrence relation is t(n) = Θ(n^c * log^(k+1)(n)).
In our case, c = log_2(2) = 1 and k = 0. Therefore, the solution to the recurrence relation t(n) = 2t(n/2) + n is t(n) = Θ(n^1 * log^(0+1)(n)) = Θ(n * log(n)).
Hence, the correct solution to the given recurrence relation is t(n) = Θ(n * log(n)).
This recurrence relation represents the time complexity of certain divide-and-conquer algorithms, such as Merge Sort. Merge Sort works by recursively dividing the input array into two equal halves, sorting them, and then merging the sorted halves. The time complexity of Merge Sort is indeed Θ(n * log(n)), matching the solution to the given recurrence relation.
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For which of the inequalities below is v = 4 a solution?
A v + 5 ≥ 9 B v + 5 ≤ 8
C v + 5 < 8 D v + 5 > 9
Answers
Step-by-step explanation:
You can use this app is call symbols and it's completely free.
Hope this helps
A measure of goodness of fit for the estimated regression equation is the.
Answers
A measure of goodness of fit for the estimated regression equation is the residual standard error (RSE)
It is a measure of goodness of fit for the estimated regression equation. It measures the average amount that the response variable (y) deviates from the estimated regression line, in the units of the response variable.
The RSE is calculated as the square root of the sum of squared residuals divided by the degrees of freedom. A smaller RSE indicates a better fit of the regression line to the data.
It represents the proportion of the variation in the dependent variable that is explained by the independent variable(s) in the model. The value of R-squared ranges from 0 to 1, with higher values indicating a better fit of the model to the data.
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may someone help me with this following question I already know it's not (B)
Answers
Answer:
a
Step-by-step explanation:
Answer:
the answer would be A
Step-by-step explanation:
180-135=45
90+45=135
180-135=45
w=90
x=45
Please please help!!
Answers
Answer:
Step-by-step explanation:
pls do this!!!!
worth 80 points!!
Answers
Answer:
a. x > -1
b. x >= -2
c. x <= 3
d. x <= 0
Step-by-step explanation: