The number of the 1(3/4) inch blocks will be 34 out of the 5 feet of stock.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that 1 3/4-inch long machine bolt blanks can be cut from a 5-foot length of the stock. The number of the blocks will be calculated as below:-
Number = 5 foot / ( 1(3/4)
Number = 60 / ( 7/4)
Number = 34.2
Therefore, the number of the 1(3/4) inch blocks will be 34.
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(-3 x 10 to the 4th power) x (2 x 10 to the power of -3) RESPOND QUICK PLEASE
Answer:
-60
Step-by-step explanation:
(-3 x \(10^{4}\)) x (2 x \(10^{-3}\))
(-30,000) x (.002) = -60
The volume of a sphere with a diameter of 6cm, rounded to the nearest tenth
Answer:
113.1 cm³
Step-by-step explanation:
diameter = 2 X radius
Volume of sphere = (4/3) X π X r ³
= (4/3) π (3)³
= 36π
= 113.1 cm³ to nearest tenth
Maddie and Logan Jackson obtained a 250,000 mortgage loan at an annual interest rate
of 6%. The loan period is for 25 years and the Jacksons will pay it in equal monthly
payments that include interest.
What is the:
A. Monthly payment
B. Total amount paid for house
C. Total interest charged
Answer:
a.2083.33(r)
b. 625,000
c. 375,000
Step-by-step explanation:
6 percent of 250,00 add those together and divide by 25 x 12 to get A
A _____ measures the dispersion around the expected value.
A. standard deviation
B. mean
C. coefficient of variation
D. chi square
The correct answer is A. Standard deviation measures the dispersion or variability around the expected value or mean of a data set. It is a commonly used statistical measure to quantify the spread of data points.
Standard deviation is calculated by taking the square root of the variance. The variance is the average of the squared differences between each data point and the mean. By squaring the differences, negative values are eliminated, ensuring that the measure of dispersion is always positive.
A higher standard deviation indicates greater variability or dispersion of data points from the mean, while a lower standard deviation suggests that the data points are closer to the mean.
On the other hand, the mean (option B) is a measure of central tendency that represents the average value of a data set. It does not directly measure the dispersion or variability around the mean.
The coefficient of variation (option C) is a relative measure of dispersion that is calculated by dividing the standard deviation by the mean. It is useful for comparing the relative variability between different data sets with different scales or units.
The chi-square test (option D) is a statistical test used to determine if there is a significant association between categorical variables. It is not a measure of dispersion around the expected value.
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Expert needed! Need assistance with these 2 math problems so please show full solutions and all calculations you used to get to the final answer. Thanks for stopping by!
Answer:
2^4.08746287Step-by-step explanation:
You want 17 written as a power of 2, and the value of the expression ...
3log₂(4) -2log₂(3) +log₂(18)
1. Power of 2Remembering that a logarithm is an exponent, the exponent of 2 that gives a value of 17 will be the log of 17 to the base 2. The change of base formula is useful here.
\(\log_2(17)=\dfrac{\log(17)}{\log(2)}\approx\dfrac{1.23044892}{0.301029996}\approx4.0874628\\\\\\\boxed{17=2^{4.0874628}}\)
2. Log expressionThe rules of logarithms tell you ...
log(ab) = log(a) +log(b)
log(a/b) = log(a) -log(b)
log(a^b) = b·log(a)
Combining the logs into a single logarithm, we have ...
3log₂(4) -2log₂(3) +log₂(18) = log₂(4³) -log₂(3²) +log₂(18)
= log₂(4³·18/3²) = log₂(64·18/9) = log₂(128) = log₂(2⁷)
= 7
The value of the log expression is 7.
__
Additional comment
A calculator can help you evaluate log expressions.
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Raju took some marble from his box. He put them in equal groups of 4. Then he put them in the groups of 5 , and then in the groups of 10. Each time no marble was leftover. Find the Minimum number of marbles he took from his box.
Answer:
ans is 20. just find the lcm between the three and it is 20
Solve for q. 2q2 = 8 9 q=
To solve for q in the equation 2q^2 = 8,
we can start by dividing both sides of the equation by 2:
2q^2/2 = 8/2
Simplifying, we get:
q^2 = 4
To solve for q, we can take the square root of both sides of the equation:
√(q^2) = ±√4
Simplifying, we get:
q = ±2
So, the solutions for q are q = 2 and q = -2.
Two sides of a triangle measure 5 inches and 6 inches. Jason says the triangle must be scalene. Is Jason correct? Explain.
When adding or subtracting matrices you need to add/subtract [Select] In order to add or subtract matrices the matrices must be [Select] Multiplying by a Scalar When multiplying a matrix by a scalar you are multiplying by a [Select] If A is a matrix and you need to find 4A you should [Select] The Transpose of a Matrix If A is a matrix and you need to find AT you should [Select] That means row 1 will become [Select] Column 3 will become
In order to add or subtract matrices, the matrices must have the same dimensions.
When adding or subtracting matrices you need to add/subtract corresponding elements.
In order to add or subtract matrices, the matrices must have the same dimensions.
When multiplying a matrix by a scalar you are multiplying by a constant.
If A is a matrix and you need to find 4A, you should multiply each element of A by 4.
If A is a matrix and you need to find \(A^T\) (transpose of A), you should interchange the rows and columns of A.
That means row 1 will become column 1, row 2 will become column 2, and so on.
Column 3 will become row 3.
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Consider a line process with 3 processing stages. The production requires each unit to go through Stage A through Stage C in sequence. The characteristics of the Stages are given below: Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100% Determine the system capacity. Which stage is the bottleneck? What is the utilization of Stage 3.
The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.
A line process has three processing stages with the characteristics given below:
Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%
To determine the system capacity and the bottleneck stage and utilization of Stage 3:
The system capacity is calculated by the product of the processing capacity of each stage:
1 x 1 x 2 = 2 units per minute
The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:
Process time per unit = 1 + 2 + 3 = 6 minutes per unit
Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit
The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.
However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.
Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.
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You start at (9, 5). You move left 3 units and up 1 unit. Where do you end?
Hello!
(9,5)
3 units left: (6, 5) (we subtract 3 from the x-coordinate)
1 unit up: (6, 6) (we add 1 to the y-coordinate)
Hope this helps you!
~Just a joyful teen
\(SilentNature\)
Which value of y completes the proportion?
18/27 = 2/y
A. 1
B. 2
C. 3
D. 9
I picked c.) 3 am I right?
Answer:
c. 3
yes you are right, good job!!
Step-by-step explanation:
18 divided by what equals 2?
18 / 2 = 9 so 18 / 9 = 2
so 27 / 9 = y which y = 3
check: 9 x 3 = 27
Answer:
Yes, C
Step-by-step explanation:
18/2 = 9 so you need to divide 27 by 9 to get 3
Simplest form X^3+X^2-6x-6
Answer:
Factor x3+x2−6x−6
x3+x2−6x−6
=(x+1)(x2−6)
Answer:
(x+1)(x2−6)
Step-by-step explanation:
Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $8,000, annual interest: 7%, interest periods: 4, number of years: 10
Please help
Credit Card StatementCalculate the newPrevious Balance $125.00 balance on thisFinance Charge $16.00 account after theseNew Purchases$120.00 charges andPayments $(150.00)payments areCredits$0.00 applied.A $161.00B. $111.00C. $171.00D. $411.00
This is a credit balance problem. Listed the previous balance, finance charge, new purchases, payments, and credits, the new balance can be calculated by summing up the previous balance, finance charge, and new purchases then subtracted to the sum of payments and credits. Applying this calculation, the new balance for the credit card is
\(\begin{gathered} Balance=\$125.00+\$16.00+\$120.00-(\$150.00-\$0.00) \\ \text{Balance}=\$111.00 \end{gathered}\)Answer: B. $111.00
Figure A is a scale image of figure B.
Pls help!!!
x = 5.25
since there is a scale factor of 1.75, you multiply 3 * 1.75 and get 5.25
hope this is helpful!
If z = 7, what is the value of the equation? ( only write the numeric value for the answer)
4z + 5 = ?
Answer
4z+5=
4*7+5=33
33
Step-by-step explanation:
A student received scores of 86, 76, and 90 on three quizzes, what is the lowest score the student can get on the next test to achieve an average score of at least 70?
Answer:
its 70 its a trick question
Step-by-step explanation:
which set has the greatest mode?
Answer:
A
Step-by-step explanation:
What is the value of 6 - (-2)?
Answer:
8
Step-by-step explanation:
That's the value for 6- (-2)=8
we are willing to regard the wood pieces prepared for the lab session as an srs of all similar pieces of douglas fir. engineers also commonly assume that characteristics of materials vary normally. make a graph to show the shape of the distribution for these data. does it appear safe to assume that the normality condition is satisfied?
If the histogram shows a bell-shaped curve and the normality test (if performed) supports the normality assumption, it appears safe to assume that the normality condition is satisfied for the wood pieces prepared for the lab session, considering them as an SRS of all similar pieces of Douglas fir.
To determine if the normality condition is satisfied, you can follow these steps:
1. Organize the data: Collect the measurements for the characteristics of the wood pieces in your sample (such as density, strength, etc.) and organize them in a list or a table.
2. Create a frequency distribution: Calculate the frequencies of the different measurements and arrange them in a frequency distribution table.
3. Plot a histogram: Using the frequency distribution, create a histogram to visually represent the data. The x-axis represents the measurements and the y-axis represents the frequency.
4. Evaluate the shape of the histogram: Examine the shape of the histogram to determine if it resembles a normal distribution. A normal distribution is characterized by a bell-shaped curve, which is symmetrical around the mean value.
5. Conduct a normality test (optional): If you want to statistically confirm the normality of the data, you can perform a normality test, such as the Shapiro-Wilk test or the Kolmogorov-Smirnov test.
For the wood pieces manufactured for the lab session, using them as an SRS of all comparable pieces of Douglas fir, it is acceptable to infer that the normality criterion is satisfied if the histogram displays a bell-shaped curve and the normality test (if performed) confirms the normality assumption.
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For this problem use the given number line to find the probability given below.
(see attached image)
The probability P(GH) is 0%.
Since we know that,
Probability denotes the likelihood of something happening. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one.
Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. Probability is defined as the degree to which something is likely to occur.
This is the fundamental probability theory, which is also utilized in probability distribution, in which you will learn about the possible results of a random experiment.
To determine the likelihood of a particular event occurring, we must first determine the total number of alternative possibilities.
Now to find the probability of GH,
We can see that there is no any poit G and H are showing in the given number line,
Therefore,
Favorable outcomes = 0
Since we know that,
Probability = number of favorable outcomes/total number of outcomes
Thus,
⇒ P(GH) = 0/total number of outcomes
Hence,
⇒ P(GH) = 0%
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Every weekend Martha bicycles a 12-mile trail in 1. 5 hours. Explain why and how you can express this information as a rate and as a unit rate
Martha travels 8 miles per hour, which is the same as saying that she covers 8 miles in one hour.
We can express Martha's weekend bicycling information as a rate by dividing the distance traveled by the time taken. In this case, her rate would be:
\(\frac{12 miles}{1.5 hours} = $8 miles per hour\)
This tells us that Martha travels 8 miles for every hour that she spends bicycling.
We can express Martha's weekend bicycling information as a unit rate by dividing the distance traveled by the time taken and expressing the result in terms of one unit of time (usually one hour). In this case, her unit rate would be:
\($\frac{12 miles}{1.5 hour}. \frac{1 hour}{1} = \frac{8 miles}{1 hour}\)
This tells us that Martha travels 8 miles per hour, which is the same as saying that she covers 8 miles in one hour.
Expressing information as a rate or a unit rate allows us to compare different situations more easily. In this case, we could compare Martha's weekend bicycling rate with her weekday bicycling rate, or with the rates of other bicyclists, to see how they differ.
Therefore, Martha travels 8 miles per hour, which is the same as saying that she covers 8 miles in one hour.
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can plz help iam new
Find the value of x.
Answer:
Step-by-step explanation:
10x + 10 + 8x + 20 =
18x + 30
hope it helps you
What’s the length of the third side of the right triangle?
Answer:
The third side of the right angled triangle is called hypotenuse.It is the longest side of the right angled triangle.
Let the hypotenuse be c and other two remaining sides a & b.
c = a²+b²
I am a solution. If you square my number, the answer will equal 441. What number am I? (hint: there are two of me)
Answer:
(21)(21)
Step-by-step explanation:
21x21=441
21²
Which triangle is not congruent to the other three triangles?
For all four triangles, we have the angles 50°, 60° and 70°, and one side with length equal 9.
In the options b, c and d, the side measuring 9 is between the angles 50° and 60°, but for option a, this side is between the angles 50° and 70°, so it's a different side, therefore the triangle is not congruent.
So the correct option is 'a'.
stephen curry, a professional basketball player in the nba, has made 92% of his free throws during the 2018-2019 regular season with the golder state warriors. calculate the probability that curry will make exactly three of his next five free throws.
The probability of Stephen Curry making exactly three of his next five free throws is 0.3264 or 32.64%.
\(p(x) = nCx * p^x * q^(n-x)\)
where:
n = total number of attempts (5 in this case)
x = desired number of successes (3 in this case)
p = probability of success (0.92 in this case)
q = probability of failure (1 - p, or 0.08 in this case)
Plugging these numbers into the equation gives us:
p(3) = 5C3 * 0.92^3 * 0.08^2 = 0.3264
Stephen Curry is a professional basketball player in the NBA who is known for his incredibly accurate shooting ability. He made 92% of his free throws during the 2018-2019 regular season with the Golden State Warriors. We can calculate the probability of Curry making exactly three of his next five free throws using the binomial probability formula. This formula takes into account the probability of the event (Curry making the free throw) and the number of attempts (five). In this case, the probability of success (Curry making the free throw) is 0.92 and the number of attempts is five. Plugging these numbers into the equation gives us a probability of 0.3264 or 32.64%. This means that Curry has a 32.64% chance of making exactly three of his next five free throws.
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a company has given you the task to research the amount of snowfall in cleveland from december to february. would you be more interested in looking at the mean, median, or mode?
The number of measurements, and the mode being the most frequently occurring value among the snowfall measurements.
The mean, median, and mode are all useful measures of central tendency when researching the amount of snowfall in Cleveland from December to February. The mean is calculated by adding up all of the snowfall measurements and dividing that by the number of measurements. For example, if there were 4 snowfall measurements of 10, 20, 30 and 40 inches, the mean would be 25 inches (10+20+30+40 / 4). The median is the middle value of the snowfall measurements when they are arranged from least to greatest. In this example, the median would be 25 inches as well. The mode is the most frequently occurring value among the snowfall measurements. In this example, the mode is also 25 inches.
The mean, median and mode are all useful measures of central tendency when researching the amount of snowfall in Cleveland from December to February, with the mean and median being calculated by adding up all of the snowfall measurements and dividing that by the number of measurements, and the mode being the most frequently occurring value among the snowfall measurements.
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