Reyesburg Corporation is contemplating using a new, more expensive glue in the construction of its laminated veneer lumber. Of importance to the company is the carrying load of the lumber. The company has tested NM beams using the new glue, recording for each beam the pressure (in pounds per square foot) at which the beam broke. The data collected are presented in the following histogram:
Based on the histogram, find the proportion of carrying loads in the sample that are less than NM pounds per square foot. Write your answer as a decimal, and do not round your answer.
Carrying Load (in pounds per sq. ft) Frequency
860-880 3
880-900 6
900-920 9
920-940 4
940-960 3
Answers
The proportion of carrying loads in the sample that are less than or equal to 880 pounds per square foot is 0.12.
To find the proportion of carrying loads in the sample that are less than NM pounds per square foot, we need to sum up the frequencies of all the bins that have carrying loads less than NM.
Given the histogram data:
Carrying Load (in pounds per sq. ft) | Frequency
860-880 3
880-900 6
900-920 9
920-940 4
940-960 3
Let's assume NM is the upper limit of the desired range for the carrying load. To calculate the proportion of carrying loads less than NM, we need to add up the frequencies of all the bins with carrying loads below NM.
For example, if NM is less than or equal to 880, then all the frequencies of the first bin (860-880) will be included in the calculation. If NM is between 880 and 900, the frequencies of both the first and second bins will be included, and so on.
To find the proportion, we sum up the frequencies of the relevant bins and divide it by the total sample size.
For the given histogram data, the total sample size is:
Total sample size = 3 + 6 + 9 + 4 + 3 = 25
Let's calculate the proportion for NM values less than or equal to 880:
Proportion = (Frequency of bin 1) / (Total sample size) = 3 / 25 = 0.12
Therefore, the proportion of carrying loads in the sample that are less than or equal to 880 pounds per square foot is 0.12.
Note: The exact value of NM was not provided, so we calculated the proportion for NM values less than or equal to 880 as an example. The calculation can be done for any specific NM value by summing up the frequencies of the relevant bins and dividing by the total sample size.
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Related Questions
Help please I don’t know the answer
Answers
Option A is correct answer
Answer:
option A i believe is correct
Step-by-step explanation:
hope that helps you :)
In the adjoining figure, the area of the rectangular surfaces of the prism is 720 sq. Cm, XX' 20 cm and XY : XZ: YZ = 5:3 : 4, find the length of XY
Answers
The length of XY, with the area of the rectangular surface of the prism 720 sq.cm, XX' 20 cm and XY : XZ: YZ = 5:3:4, is 12 cm.
Area of the rectangular surface of the prism = 720 sq. cm
XX' = 20 cm
XY : XZ: YZ = 5:3:4
As we know, area of prism = 3 × area of rectangle
⇒720 = 3 × area of rectangle
⇒area of rectangle = 720/3
⇒XY × XX' = 240
⇒XY × 20 = 240
⇒XY = 240/20
⇒XY = 12 cm
Thus, the length of the XY is 12 cm.
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Find an equation of the plane with the given characteristics. The plane passes through the points (4,2,1) and (−2,6,5) and is parallel to the z-axis.
Answers
The equation of the plane with the given characteristics is z = 1.
Let's find the equation of the plane with the given characteristics of passing through points (4,2,1) and (−2,6,5) and is parallel to the z-axis. An equation for a plane in three-dimensional space can be defined in various ways. Here, we use the point-normal form of the plane equation.In the point-normal form of the plane equation, a plane is defined by a point on the plane and a normal vector to the plane. Let (x1, y1, z1) be the point on the plane, and let the normal vector to the plane be (A, B, C). Then the equation of the plane is given by
Ax + By + Cz = D
where D = A x1 + B y1 + C z1.
Now, let's find the normal vector to the plane which is parallel to the z-axis. The normal vector to the plane is perpendicular to the plane. Since the plane is parallel to the z-axis, the normal vector should be perpendicular to the z-axis and hence be along the x-y plane. Therefore, the normal vector to the plane is given by (0,0,1).Let the point (4, 2, 1) be the point on the plane. Then the equation of the plane is
Ax + By + Cz = D
where A = 0, B = 0, C = 1, and (x1, y1, z1) = (4, 2, 1).
So, the equation of the plane is0x + 0y + 1z = D
Substituting the point (4,2,1) in the above equation, we get
0(4) + 0(2) + 1(1) = DSo, D = 1
Hence, the equation of the plane is given by
0x + 0y + 1z = 1or simply, z = 1.
Therefore, the equation of the plane with the given characteristics is z = 1. Thus, the equation of the plane with the given characteristics is z = 1.
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(PLEASE ANSWER THESE ASAP)
(1) K-Mart is offering a 15% discount on children's clothing. Susan sees a jumper she likes for $30. How much does she pay for the jumper?
(2) Michael has $35 to divide between his two daughters, Paula and Mathilda, in the ratio of 3:2 How much money does each daughter receive?
Answers
Answer:
easy
Step-by-step explanation:
easy..................
Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary
Answers
Answer:
506π ft^2
Step-by-step explanation:
here's your solution
=> height of cylinder = 12 ft
=> radius of cylinder = 11 ft
=> surface area of cylinder = 2πr(h+r)
=> SA = 2*11(12+11)*π
=> SA = 22*23π
=> SA = 506π ft^2
hope it helps
maya is driving 120 miles to her grandmothers house.she drivs 35% of the distance before stopping for lunch. how far does she drive before stoppping for lunch
Answers
Answer:
42 miles
Step-by-step explanation:
32% is the same thing as 0.35
Think of the word "of" as multiplication.
Therefore, 0.35 of 120 miles is 0.35×120
This equals 42 miles.
Complete the equivalent ratio. How many ounces are in 2 cups?
StartFraction 48 ounces Over 6 cups EndFraction = StartFraction question mark ounces Over 2 cups EndFraction
Answers
2 Cups = (8 Ounces) x 2
2 Cups = 16 Ounces
I hope that this helps! :)
This pattern can be
represented by the explicit
expression of 2n.
Answers
Answer:
False
Step-by-step explanation:
The given sequence for n = 0, 1, 2, 3 is 0, 1, 4, 9. The suggested expression for the pattern is 2n. If we use the given values of n in that expression, we get a sequence of 0, 2, 4, 6. That is not the same sequence.
The explicit expression does not represent the given pattern. (False)
Answer:
its is false
Step-by-step explanation:
the sequence would be 0,2,4,6
Evaluate each expression if a = 4, b = 6, and c = 2.
Answers
Answer:
26
Step-by-step explanation:
ab+c
plug in #s
4(6)+2
start to solve
24+2
26
Among 420 randomly selected employees at a company, the mean number of hours of overtime worked per month is 10 hours and the standard deviation is 1. 6. What is the margin of error, assuming a 99% confidence level? 4. 12 0. 01 0. 20 20. 5.
Answers
The margin of error of the random selection is 0.20
The given parameters are:
\(n = 420\) --- the sample size
\(\sigma = 1.6\) --- the standard deviation
\(\bar x = 10\) --- the mean
\(\alpha = 99\%\) --- the confidence level.
The margin of error (E) is calculated as follows:
\(E = z \times \sqrt{\frac{\sigma^2}{n}}\)
So, we have:
\(E = z \times \sqrt{\frac{1.6^2}{420}}\)
\(E = z \times \sqrt{\frac{2.56}{420}}\)
The z-value for 99% confidence level is 2.576.
Substitute 2.576 for z
\(E = 2.576 \times \sqrt{\frac{2.56}{420}}\)
\(E = 2.576 \times \sqrt{0.006095}\)
Take square roots
\(E = 2.576 \times 0.0781\)
Multiply
\(E = 0.2012\)
Approximate
\(E = 0.20\)
Hence, the margin of error is 0.20
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A research company surveys people in a community about a new recycling program. The company expects 6,000 people to respond favorably. If there is a percent error of 2.5%, what is the range of the number of people who are expected to respond favorably to the survey?
Answers
Answer:
5850
Step-by-step explanation:
is the question complete? if so this is the answer pls check if the question has more details
If a factory produces 16 lawn mowers per hour, how many lawn mowers can it produce in seven hours?.
Answers
Answer:
112 lawn mowers
Step-by-step explanation:
we multiply 16 by 7 since 16 is each hour
16x7
112
Hopes this helps please mark brainliest
The required number of lawnmowers that can be produced in 7 hours is 112.
Given that,
A factory produces 16 lawnmowers per hour, how many lawnmowers can it produce in seven hours is to be determined.
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.
Here,
The factory produces 16 lawnmowers per hour
In 7 hour lawnmowers produced = 16 × 7 = 112
Thus, the required number of lawnmowers that can be produced in 7 hours is 112.
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I need help, i am a 2nd grader and i cant figure this out. 2 to the power of 19 + 18 to the power of 2
Answers
Answer: 274896781636
Step-by-step explanation:
Brainliest pls:)
Answer:
524612 is the actual answer
Step-by-step explanation:
A rowing team rowed an average of 14.4 miles per hour with the current and 6.8 miles per hour against the current. Determine the teams rowing speed in still water and the speed of the current.
Answers
Answer:
Rowing speed: 10.6 miles per hour
speed of the current: 3.8 miles per hour.
Step-by-step explanation:
Let the team's rowing speed in still water be "x" and the speed of the current be "c".
x + c = 14.4
x - c = 6.8
(x + c) + (x - c) = 14.4 + 6.8
2x = 21.2
x = \(\frac{21.2}{2}\)
x = 10.6
10.6 + c = 14.4
c = 14.4 - 10.6
c = 3.8
The team's rowing speed in still water is 10.6 miles per hour, and the speed of the current is 3.8 miles per hour.
BRAINLIEST ASAP! help pls
Answers
This is because the order can be switched but the answer will not change
A rectangle is drawn in a coordinate plane with vertices (-2,4),(4,4)(4,0) and (-2,0) which of the following represents the dimensions of the rectangles. A. 1 unit by 3 units B. 2 units by 3 units C. 4 units by 6 units D. 6 units by 8 units
Answers
The cordinates of the vertices if the rectangle are given as (-2,4),(4,4)(4,0) and (-2,0).
Note that the side joining (4,0) and (-2,0) lies on the x-axis from point x=-2 to x=4.
So the length of this side is given by,
\(\begin{gathered} d_1=\sqrt[]{(0-0)^2+(-2-4)^2} \\ d_1=\sqrt[]{(-6)^2} \\ d_1=\sqrt[]{36} \\ d_1=6 \end{gathered}\)Now, for any adjacent side one point should be any of the two above.
Consider the adjacent side joining the coordinates(4,0) and (4,4). The length of the side is given by,
\(\begin{gathered} d_2=\sqrt[]{(4-0)^2+(4-4)^2} \\ d_2=\sqrt[]{(4)^{2+(0)^2}} \\ d_2=\sqrt[]{16} \\ d_2=4 \end{gathered}\)So the rectangle has sides 6 and 4 units.
Therefore, option C is the correct choice.
A baker has 12 pounds of almonds. She puts them in bags, so that each bag has the same weight.
Answers
Answer:
2x6 and 6x2
Step-by-step explanation:
because 12/6 gets you 2 and 6x2 equals 12
Answer:
2
Step-by-step explanation:
Clarie and Tyler thought about 12 divided by 6 because if you thought how much weight would give me 12?, You would think you need to divide to know that and if you multiply 2x6 it gives you the product of 12 so 12 divided by 6 is 2 therefore the missing number is 2.
wind speeds, represented by random variable , in , have a lognormal distribution. in other words, is normal. if , and , what value of (the standard normal rv) is associated with a wind speed of ?
Answers
Wind speeds, represented by random variable X, have a lognormal distribution. The corresponding value of the standard normal random variable (Z) is associated with a wind speed of 14.35 is 25.5
Wind speeds represented by random variable X, in miles per hour, have a lognormal distribution. In other words, log(X) is normal.
If \(\mu = 4.8\) and \(\sigma = 0.4\), what value of Z (the standard normal rv) is associated with a wind speed of 15 miles per hour.
The value of Z (the standard normal rv) associated with a wind speed of 15 miles per hour.
The standard score (z) of a random variable X is calculated as follows:
\(z = \frac{(X - \mu)}{\sigma}\)
Given: μ = 4.8, σ = 0.4
Let X be a wind speed 15 mph.
To find the standard normal rv Z associated with a wind speed of 15 miles per hour, we will use the formula for calculating the standard score (z):
\(z = (X - \mu) /\sigma \\z = (15 - 4.8) / 0.4\\z = 25.5\)
Therefore, the value of Z (the standard normal rv) associated with a wind speed of 15 miles per hour is 25.5.
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A. 124ft
B. 125ft
C. 126ft
D. 123ft
Answers
Answer:
\( \sqrt{950} \)
Step-by-step explanation:
3800=4(x^2)
x^2=950
From the following state-variable models, choose the expressions for the matrices A, B, C, and D for the given inputs and outputs.
The outputs are x1 and x2; the input is u.
x·1=−9x1+4x2x·1=-9x1+4x2
x·2=−3x2+8ux·2=-3x2+8u
Multiple Choice
A. A=[00], B=[08], C=[1001], and D=[−904−3]A=[00], B=[08], C=[1001], and D=[-940-3]
B. A=[00], B=[1001], C=[08], and D=[−904−3]A=[00], B=[1001], C=[08], and D=[-940-3]
C. A=[−904−3], B=[1001], C=[08], and D=[00]A=[-940-3], B=[1001], C=[08], and D=[00]
D. A=[−904−3], B=[08], C=[1001], and D=[00]
Answers
The accurate answer is:
A. A=[0 0; -9 4], B=[0; 8], C=[1 0; 0 -3;], and D=[-9 0; 0 -3]
Explanation:
A matrix represents the coefficients of the state variables in the state-space equations. Based on the given state-variable models, we have x·1 = -9x1 + 4x2 and x·2 = -3x2 + 8u. Therefore, the matrix A would be [0 0; -9 4], representing the coefficients of x1 and x2 in the state equations.
B matrix represents the coefficients of the input variable (u) in the state-space equations. Based on the given state-variable models, we have x·1 = -9x1 + 4x2 and x·2 = -3x2 + 8u. Therefore, the matrix B would be [0; 8], representing the coefficient of u in the state equations.
C matrix represents the coefficients of the state variables in the output equation. Based on the given state-variable models, the outputs are x1 and x2. Therefore, the matrix C would be [1 0; 0 -3], representing the coefficients of x1 and x2 in the output equations.
D matrix represents the coefficients of the input variable (u) in the output equation. Based on the given state-variable models, the outputs are x1 and x2, and there is no direct dependence on the input u in the output equations. Therefore, the matrix D would be [0 0; 0 0], representing no direct dependence of u in the output equations.
What is the domain of the graph function
Answers
Answer:
D
Step-by-step explanation:
it -4<x<8 your answer is d
A bag holds 13 marbles. 6 are blue, 2 are green, and 5 are red.
If you select two marbles from the bag in a row without replacing the first marble, what is the probability that the first marble is blue and the second marble is green?
Note: you are not replacing any marbles after each selection.
PLS SHOW ALL WORK!
Answers
The probability of selecting blue marble and green marble is 1/13.
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 which is equivalent to 100%.
Probability = sample space/total outcome
total outcome = 13
The probability of picking blue in the first pick = 6/13
since there is no replacement, the total outcome for the second pick = 12
The probability of picking green in the second pick = 2/12 = 1/6
Therefore the probability of selecting blue and green marble = 6/13 × 1/6
= 1/13
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Consider the parametric curve given by C +3 12t, y=2t2 - 2 (a) Find dy/dx and dạy/dx? in terms of t. dy/dx = (41)/(3^(2)-12) dºg/dz2 = (b) Using "less than" and "greater than" notation, list the t-interval where the curve is concave upward. Use upper-case "INF" for positive infinity and upper-case "NINF" for negative infinity. If the curve is never concave upward, type an upper-case "N" in the answer field. t-interval:
Answers
The t-interval where the curve is concave upward is (-INF, INF).
(a) To find dy/dx, we differentiate y with respect to t and divide by dx/dt:
dy/dt = 4t
dx/dt = 12
Now, we can find dy/dx:
dy/dx = (dy/dt) / (dx/dt) = (4t) / 12 = t/3
To find d²y/dx², we differentiate dy/dx with respect to t and divide by dx/dt:
d(dy/dx)/dt = d(t/3)/dt = 1/3
So, d²y/dx² = 1/3.
(b) To determine the t-interval where the curve is concave upward, we need to find where d²y/dx² is positive. In this case, d²y/dx² is constantly 1/3, which is positive. Therefore, the curve is concave upward for all values of t.
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consider the equation 10 2z/3=15.
solve the equation for z.
express the solution as a logarithm base-10
z=
approximate the value of z. round your answer to the nearest thousandth
z=
Answers
Hi there! :)
\(\large\boxed{z = 1.764}\)
\(10x^{(2z/3)} = 15\)
Rewrite as a logarithmic equation using this format:
\(a^{b} = c \\\\log_{a}c = b\)
In this instance:
a = 10 (log is by default base 10)
b = 2z / 3
c = 15
Rewrite as the log equation:
\(log 15 = 2z/3\)
Evaluate log (15):
\(1.176 = 2z / 3\)
Multiply both sides by 3:
\(3.528 = 2z\)
Divide both sides by 2:
\(z = 1.764\)
Answer:
z= 3log(15)/2
z= 1.764
336,765=3,14×0.55×(l+0.55) please help
Answers
Answer:
l = 194999.45
Step-by-step explanation:
I'm going to assume that you meant 3.14 by 3,14.
336,765 = 3.14 × 0.55 × (l + 0.55)
336,765 ÷ (3.14 × 0.55) = l + 0.55
(336,765 ÷ (3.14 × 0.55)) - 0.55 = l
l = 194999.45
What is the value of a?
a–2=3+6a
--------
3
Answers
Answer:
a = 17 / 11
Step-by-step explanation:
or, a - 2 = 3(3 + 6a)
or, a - 2 = 9 + 18a
or, - 2 - 9 = 18a - a
or, -11 = 17a
or, a = 17 / 11
Can any one here please help me in this math problem I really need help
Answers
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
15Pts An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck one year are defective. It has contacted the owners of these vehicles and asked them to return their trucks to the dealer to check the transmission. The Friendly Auto Mart sold seven of these trucks and has two of the new transmissions in stock. What is the probability that the auto dealer will need to order more new transmissions?
Answers
The probability that the auto dealer will need to order more new transmissions is the sum of the probabilities of having 3, 4, 5, 6, or 7 defective transmissions among the seven trucks sold.
To calculate the probability that the auto dealer will need to order more new transmissions, we can use the binomial probability formula.
Given that the probability of a defective transmission is \(20\%\) (or 0.2), and the dealer has sold seven trucks with two new transmissions in stock, we want to find the probability of having more than two defective transmissions among the seven sold.
Let's denote X as the number of defective transmissions among the seven sold. We need to calculate \(\(P(X > 2)\).\)
Using the binomial probability formula, we can calculate the probability of X using the following formula:
\(\[P(X = k) = \binom{n}{k} \cdot p^k \cdot (1 - p)^{n - k}\]\)
Where:
\(- \(\binom{n}{k}\)\) is the number of combinations of choosing \(\(k\)\) items from a set of n items.
- p is the probability of success (defective transmission).
- n is the total number of trials (number of trucks sold).
To calculate \(\(P(X > 2)\),\) we need to sum the probabilities of having 3, 4, 5, 6, or 7 defective transmissions.
\(\[P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)\]\)
Now let's calculate each term and sum them:
\(\[P(X = 3) = \binom{7}{3} \cdot (0.2)^3 \cdot (0.8)^{7 - 3}\]\[P(X = 4) = \binom{7}{4} \cdot (0.2)^4 \cdot (0.8)^{7 - 4}\]\[P(X = 5) = \binom{7}{5} \cdot (0.2)^5 \cdot (0.8)^{7 - 5}\]\[P(X = 6) = \binom{7}{6} \cdot (0.2)^6 \cdot (0.8)^{7 - 6}\]\[P(X = 7) = \binom{7}{7} \cdot (0.2)^7 \cdot (0.8)^{7 - 7}\]\)
Finally, we sum these probabilities to get the desired result:
\(\[P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)\]\)
Calculating these probabilities will yield the probability that the auto dealer will need to order more new transmissions.
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Tonys terrific tools is selling a hammer at 30% discount the sale price is $12.60 what is the original price of the hammer
Answers
Answer:
100: x
70 : 12.6
7x=1260
x=1260/70
x or original price= $18
Step-by-step explanation:
Rashaad leans a 16-foot ladder against a wall so that it forms an angle of 66° with the ground. what's the horizontal distance between the base of the ladder and the wall?
Answers
The horizontal distance between the base of the ladder and the wall is approximately 6.58 feet
We can use trigonometric function to solve this problem. Let's call the horizontal distance we are looking for "x".
First, we can use the fact that the ladder forms an angle of 66° with the ground to find the vertical height it reaches. We know that the ladder is 16 feet long, and we can use the sine function to find the vertical height
sin(66°) = height/16
height = 16×sin(66°) = 15.12 feet (rounded to two decimal places)
Now, we can use the same angle and the cosine function to find the horizontal distance x
cos(66°) = x/16
x = 16×cos(66°) = 6.58 feet (rounded to two decimal places)
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