Answer:
minimum:0
lower quartile: 4
median: 7
upper quartile: 9
maximum: 11
Step-by-step explanation:
What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
Steel sheet length 2400 mm, wide 1200 mm, how many number of pieces 300 mm×200 mm for cutting.
6 12 24 48
The correct answer is 48 pieces.
To determine the number of pieces that can be cut from the steel sheet, we need to divide the dimensions of the steel sheet by the dimensions of each piece to see how many can fit.
Calculate the number of pieces along the length:
The length of the steel sheet is given as 2400 mm, and each piece has a length of 300 mm. By dividing the total length by the length of each piece, we get 2400 mm ÷ 300 mm = 8. This means we can cut 8 pieces along the length of the steel sheet.
Calculate the number of pieces along the width:
The width of the steel sheet is given as 1200 mm, and each piece has a width of 200 mm. By dividing the total width by the width of each piece, we get 1200 mm ÷ 200 mm = 6. This means we can cut 6 pieces along the width of the steel sheet.
Calculate the total number of pieces:
To find the total number of pieces, we multiply the number of pieces along the length by the number of pieces along the width: 8 pieces × 6 pieces = 48 pieces.
Therefore, the correct answer is 48 pieces.
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Which of the following are essential elements of hypothesis testing?
-It uses probability theory to determine if a hypothesis is a reasonable statement.
-It makes use of sample data.
The following are crucial factors in hypothesis testing:
It employs probability theory to evaluate if a hypothesis is a valid claim.It employs sample data.Explain the term hypothesis testing?In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test.
The type of data being used and purpose of the study will determine the methodology the analyst uses. A basic hypothesis can anticipate a causal relationship between variables, i.e., that one has an impact on the other. This is known as hypothesis testing, and it uses sample data to determine the plausibility of a hypothesis.It is a technique for analysis that evaluates presumptions and establishes the likelihood of something based on a predetermined level of accuracy. Testing hypotheses offers a technique to determine whether the outcomes of an investigation are reliable.Thus, before conducting the hypothesis testing, a null hypothesis as well as an alternative hypothesis are established.
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BEST ANSWER GETS BRAINLY
Answer:
The first answer choice is correct
Step-by-step explanation:
The height and the slant height of a cone are 24 cm and 25 cm respectively. Find the volume of the cone.
Pls answer with steps :)
Answer:
volume =183.26 cm³
Step-by-step explanation:
volume of a cone = 1/3πrl
l is the slant height
using; l²=h²+r²
r²= l²-h²
r²= 25²-24²= 625-576 =49
r=√49=7cm
volume = 1/3πrl = 1/3 (π×7×25)= 1/3 ×549.78
=183.26 cm³
Consider the following exponential probability density function. f(x) = 1/3 4 e^-x/3 for x > 0a. Write the formula for P(x < x_0). b. Find P(x < 2). c. Find P(x > 3). d. Find P(x < 5). e. Find P(2 <.x <5).
\(P(x < x_0) = ∫_0^x_0 f(x) dx\) ,\(P(x < 2) = ∫_0^2 (1/3) 4 e^-x/3 dx = -4e^-2/3 + 4\) , \(P(x > 3) = 1 - P(x < 3) = 1 - ∫_0^3 (1/3) 4 e^-x/3 dx = e^-1\) , \(P(x < 5) = ∫_0^5 (1/3) 4 e^-x/3 dx = -4e^-5/3 + 4\) , \(P(2 < x < 5) = P(x < 5) - P(x < 2) = (-4e^-5/3 + 4) - (-4e^-2/3 + 4) = 4e^-2/3 - 4e^-5/3\)
are the required solutions probability density function.
a. The formula for P(x < x_0) can be obtained by integrating the probability density function f(x) from 0 to x_0:
\(P(x < x_0) = ∫_0^x_0 f(x) dx\)
b. To find P(x < 2), we can substitute x_0 = 2 into the formula above and evaluate the integral:
\(P(x < 2) = ∫_0^2 (1/3) 4 e^-x/3 dx = -4e^-2/3 + 4\)
c. To find P(x > 3), we can use the complementary probability:
\(P(x > 3) = 1 - P(x < 3) = 1 - ∫_0^3 (1/3) 4 e^-x/3 dx = e^-1\)
d. To find P(x < 5), we can again use the formula for P(x < x_0) and substitute x_0 = 5:
\(P(x < 5) = ∫_0^5 (1/3) 4 e^-x/3 dx = -4e^-5/3 + 4\)
e. To find P(2 < x < 5), we can use the cumulative distribution function:
\(P(2 < x < 5) = P(x < 5) - P(x < 2) = (-4e^-5/3 + 4) - (-4e^-2/3 + 4) = 4e^-2/3 - 4e^-5/3\)
In general, the exponential distribution is commonly used to model the time until an event occurs, such as the time between radioactive decays or the time until a customer arrives at a service station. The parameter 1/λ, where λ is the rate parameter, represents the average time until the event occurs. The exponential distribution has a memoryless property, which means that the probability of the event occurring in the next unit of time is independent of the time elapsed so far. This property makes the exponential distribution useful in many applications, such as queuing theory and reliability analysis.
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4 whole numbers that have median of 11 and range of 3
Answer:
What is the question?
Step-by-step explanation:
It takes 120 minutes to drive home at 60kmh
how long it will take to drive home at 120kmh
Answer: 240 mins
Step-by-step explanation:
if 25% of 150 is 700% of n, then n is equal to what number
Answer:
n=75/11
Step-by-step explanation:
good luck
help need answer and work shown♀️
Answer:
adjacent = 8.66 2dp
hypotenuse = 10
Step-by-step explanation:
to find the adjacent side
tan(60) = x/5
tan(60) × 5 = x
adjacent side length = 8.66 2dp
to find the hypotenuse
8.66^2 + 5 ^2 = sqrt(ans)
hypotenuse = 10
What is the square root of -1?
Answer:
Second choice: i
Square root of -1 is an imaginary number, represented as i.
Please mark as BRAINLIEST! Thanks!
It would be very much appreciated if I could get help on this question.
Answer:
523.3 cm^3
Step-by-step explanation:
You have a formula for the volume of a sphere: \(V=\frac{4}{3}\pi r^3\) but to use it, you need the radius, r .
The panel on the left shows c = 31.4 cm (I am assuming c is the circumference, like the distance around the "equator" of the sphere).
What's the relationship of circumference of a circle (equator) to the radius?
\(c=2\pi r\)
So put 31.4 in for c in that last formula.
\(31.4 =2\pi r\)
If you use the approximate value of pi \(\pi \approx 3.14\) that becomes
\(31.4 = 2(3.14)r\\\frac{31.4}{6.28} = r\\\\5=r\)
Aha! The radius r is 5 cm. Now go back to the formula for volume:
\(V=\frac{4}{3} (3.14)(5^3)\\V=\frac{4}{3}(3.14)(125)\\V \approx 523.3 \text{ cm^3}\)
which of the following points is a solution of y > |x| 5? a. (7, 1) b. (0, 5) c. (1, 7) d. unlimited attempts remain
the point (1, 7) is the only solution to the inequality y > |x| + 5.
To determine which of the given points is a solution of the inequality y > |x| + 5, we need to substitute the x and y coordinates of each point into the inequality and check if the inequality holds true.
a. (7, 1)
Substituting x = 7 and y = 1 into the inequality:
1 > |7| + 5
1 > 7 + 5
1 > 12
This inequality is not true, so (7, 1) is not a solution.
b. (0, 5)
Substituting x = 0 and y = 5 into the inequality:
5 > |0| + 5
5 > 0 + 5
5 > 5
This inequality is not true, so (0, 5) is not a solution.
c. (1, 7)
Substituting x = 1 and y = 7 into the inequality:
7 > |1| + 5
7 > 1 + 5
7 > 6
This inequality is true, so (1, 7) is a solution.
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one pump can fill a pool in 14hr. working with a second pump, the pumps together can fill the pool in 10 hr. How fast can the second pump fill the pool by itself?
The second pump working by itself can fill the pool in 3.5 hours.
One pump can fill a pool in 14 hours. When working together, the pumps can fill the pool in 10 hours. We are required to determine the speed of the second pump working by itself.
Let's consider the speed of the first pump working by itself to be S1. Let's consider the speed of the second pump working by itself to be S2 We can now use the formula, Work = Speed × Time.
We know that both pumps working together can fill the pool in 10 hours. Therefore, using this formula:
1 = (S1 + S2) × 10/Pool Similarly
, we know that the first pump can fill the pool in 14 hours.
Therefore
1 = S1 × 14/Pool
We can use the above two equations to solve for S2
.S1 = 1/14
Pool (equation 1)
\(1 = (S1 + S2) × 10/Pool (equation 2)\)
Substituting the value of S1 from equation 1 into equation 2, we get:
\(1 = ((1/14Pool) + S2) × 10/\)
Pool Simplifying the above equation:
1 = (10/14 + 10S2)/Pool Multiplying both sides by Pool:
\(Pool \\= 10/4 + 10S2\\Pool = 2.5 + 10S2\)
Multiplying both sides by 4:4
\(Pool = 10 + 40S24Pool\\ = 10Pool + 40S24Pool - 10Pool \\= 40S214Pool = 40S2S2 \\= 14/4S2 \\= 3.5\)
The second pump working by itself can fill the pool in 3.5 hours.
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Consider a population regression model. For simplicity, ignore the subscript i that we normally attach with the variables. If k=2, then the model can be written as:
A. Y= β0 + β1X1 + β2X2 + e
B. Y = β0 + β1X1 + β2X2 +
C. Y = β0 + β1X1 + β2X2 = β0 + β1X1 + β2X2
D. Y = β0 + β1X1 + β2X2 + e
Among the given options (A, B, C, D), the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.
In a population regression model, we are interested in modeling the relationship between a dependent variable (Y) and one or more independent variables (X1, X2, etc.). The model equation consists of the regression coefficients (β0, β1, β2, etc.) that represent the effect of each independent variable on the dependent variable, and the error term (e) that captures the unexplained variation in the data.
Among the given options, only option D includes all the necessary components of a population regression model with two independent variables (k = 2). It includes the dependent variable Y, the regression coefficients β0, β1, and β2 for the independent variables X1 and X2, respectively, and the error term e.
Options A, B, and C are incorrect because they either omit the error term or have an incomplete equation. The error term is crucial in accounting for the unobserved factors and random variation in the relationship between the variables.
Therefore, the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The amount Erica owed for 6 years if $5300 is loaned to her at the rate of 8% is $8,551.56.
How to find the amount Eric owes for 6 years?The amount Erica owes for 6 years if 5300 dollars is loaned to her at the rate of 8% compounded monthly can be computed as follow:
Therefore, it is compounded 12 times.
\(A = p(1 +\frac{r}{n} )^{nt}\)
where
p = principalr = rate t = timen = number of time compoundedTherefore,
p = 5300 dollars
t = 6 years
n = 12
r = 8%
Therefore,
\(A = p(1 +\frac{r}{n} )^{nt}\)
\(A = 5300(1+ \frac{0.08}{12} )^{(12)(6)}\)
A = 5300(1 + 0.0067)⁷²
Therefore,
A = $8,551.56
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Pls help ASAP! 20pts! What is the value of sin N? What is the value of x to the nearest tenth? What is the value of x to the nearest degree?
Answer:
1.
\(C.\\sin(N)=\frac{\sqrt{3} }{2}\)
2.
\(x=82.1\)
3.
x = 18°
Step-by-step explanation:
1. The sine ratio is sin(θ) = opposite/hypotenuse, where θ is the reference angle. When N is the reference angle, we see that side OP with a measure of 5√3 units is the opposite side and side NP with a measure of 10 units is the hypotenuse.
Thus, we can find plug everything into the sine ratio and simplify:
\(sin(N)=\frac{5\sqrt{3} }{10} \\\\sin(N)=\frac{\sqrt{3} }{2}\)
2. We can use the tangent ratio to solve for x, which is tan (θ) = opposite/adjacent. If we allow the 75° to be our reference angle, we see that the side measuring x units is the opposite side and the side measuring 22 units is the adjacent side. Thus, we can plug everything into the ratio and solve for x or the measure of the opposite side:
\(tan(75)=\frac{x}{22}\\ \\22*tan(75)=x\\\\82.10511777=x\\\\82.1=x\)
3. Since we're now solving for an angle, we must using inverse trigonometry. We can use the inverse of the tangent ratio, whose equation is tan^-1 (opposite/adjacent) = θ. We see that when the x° is the reference angle, the side measuring 11 units is the opposite and the side measuring 33 units is the adjacent side. Now we can do the inverse trig to find the measure of x:
\(tan^-^1(\frac{11}{33})=x\\ 18.43494882=x\\18=x\)
2+3-6+0*4+1+2+3..........
Answer:
the ans is 6 it was a easy one
Sandra has a bunch of grapes that weighs 48.64 g and a bag of mangoes that weighs 937.2 g
If Sandra has a bunch of grapes that weighs 48.64 g and a bag of mangoes that weighs 937.2 g. The amount that the fruit weight in total is: $985.84.
What is the total fruit weight?Using this formula to determine the fruit weight in total
Total fruit weight = Weight of bunch of grapes + Weight of bag of mangoes
Where:
Weight of bunch of grapes = 48.64g
Weight of bag of mangoes = 937.2g
Let plug in the formula
Total fruit weight = 48.64g + 937.2g
Total fruit weight = 985.84g
Therefore $985.84 is the total weight of the fruits.
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The complete question is:
Sandra has a bunch of grapes that weighs 48.64 g and a bag of mangoes that weighs 937.2 g. How much does the fruit weigh in total?
help me wth ths qustion
Answer:
62
Step-by-step explanation:
im pretty sure this is right. sry if its not.
Answer:
62
Step-by-step explanation:
1) 10^3 = 1000
2) 1000 x .062=62
Can you help me pls? m 3n at m = 8, n = 2 ( pls show work)
Answer:
48
Step-by-step explanation:
I'm assuming it's just multiplication with given info
m3n = (8)3(2) = 24(2) = 48
How many solutions does this system have? x minus y = negative 4. 3 x + y = 8. one two an infinite number no solution
Answer:
One solution
Step-by-step explanation:
Answer:
The correct answer is A.) one
Step-by-step explanation:
I just did the test on edge 2021 and got it right!
Herky found that 8 out of every 100 beans in his garden were nibbled by rabbits. How many beans can he expect to be
damaged if there are 450 beans in his garden?
18 beans
36 beans
72 beans
108 beans
Answer:
36 beans
Step-by-step explanation:
Trust Me, I know the answer its quite easy you do 8×4=32 8×1/2=4 and add them both together which is 36
Answer: I confirm it is 36 beans
Step-by-step explanation:
Put these numbers in order from least to greatest
Answer:
0.3, 1/3, 2/5, 1/2, 0.6
Hope this helps!!
-4(x + 7) + 2(2 + x) = -20
Answer:
x = -2
Step-by-step explanation:
Step 1: Distribute
-4(x + 7) + 2(2 + x) = -20 ----> -4x-28 + 4+2x=-20
Step 2: Combine Like Terms
-4x-28+4+2x=-20 ----> -2x-24=-20 ----> -2x=4
Step 3: Divide both sides by -2, solving for x.
-2x=4 ----> -2/-2x = 4/-2 ----> x = -2
Mrs. Jones rented a truck. Easy math problem. Only answer if you know how to do it. Help needed ASAP
Answer:
80%
Step-by-step explanation:
150/100*20=$30
150-30=120
120/150=0.8=80%
The following data represent (hypothetical) energy consumption normalized to the year 1900. Plot the data. Test the model Q = ae^bx by plotting the transformed data. Estimate the parameters of the model graphically. x
0 10 20 30 40 50 60 70 80 90 100 Year
1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 Consumption Q
1.00 2.01 4.06 8.17 16.44 33.12 66.69 134.29 270.43 544.57 1096.63 Make an appropriate trunsformation to fit the model P aeh using Equation (3.4). Estimate a and h
The correct value of a or initial amount in exponential growth \(Q = ae^b^x\) is 789.
Quantity rises over time through a process called exponential growth and it happens when the derivative, or instantaneous rate of change, of a quantity with respect to time is proportionate to the original quantity.
Given that, hypothetical energy consumption normalized to the year 1990 we have to estimate a and h
\(Q = ae^b^x\)
\(ln Q= ln a+bx\)
For the year 1990:
\(x = 0\) \(lnQ =0\)
For the year 1910:
\(x= 10\) \(lnQ= 0.698\)
For the year 1920:
\(x=20\) \(lnQ= 1.4012\)
For the year 1930:
\(x=30\) \(lnQ=2.1\)
For the year 1940:
\(x=40\) \(lnQ=2.8\)
For the year 1950:
\(x=50\) \(lnQ=3.5\)
For the year 1960:
\(x=60\) \(lnQ=4.2\)
For the year 1970:
\(x=70\) \(lnQ=4.9\)
For the year 1980:
\(x=80\) \(lnQ=5.6\)
For the year 1990:
\(x=90\) \(lnQ=6.3\)
For the year 2000:
\(x= 100\) \(lnQ= 7\)
Here, estimate the parameters of the model graphically, the slope of line is approximated as follows:
a = \(\frac{1096.63-544.57}{7-6.3}\)
a = \(\frac{552.06}{0.7}\)
a = 788.657
a ≈ 789
Hence, a or initial amount in exponential growth \(Q = ae^b^x\) is 789.
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Find the measure of angle BCA
Answer: I think it's 30 degrees. Sorry if I'm wrong.
Step-by-step explanation:
a survey of 100 randomly selected customers found the mean age was 31.84 years. assume the population standard deviation for age was 9.84 years.2.find the margin of error if we want a 90% confidence interval for the true population mean age?a.1.62b.30.22c.5.83d.4.57e.9.84
The margin of error if we want a 90% confidence interval for the true population mean age is calculated to be 1.62 years, therefore option (a) is correct.
We can use the formula for the margin of error:
Margin of error = z × (σ / √(n))
where z is the z-score for the desired level of confidence, σ is the population standard deviation, and n is the sample size.
For a 90% confidence interval, the z-score is 1.645. Substituting the given values, we get:
Margin of error = 1.645 × (9.84 / √(100)) = 1.62
Therefore, the margin of error is 1.62 years, which is option (a).
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If x=1 and increases by h, by how much will volume of the box change? Simplify. You may find the following formulas useful (a+b)^2=a^2 + 2ab + b^2 (a + b)^2 = a^3 + 3a^2b + 3ab^2 + b^3V(1 + h) - V(1) = 4(1 + h)^3 - 61(1+h)^3 + 240(1 + h) - 180 =Previous question
"If x=1 and increases by h the volume of box changes by 4(1 + h)3 - 61(1 + h)3 + 240(1 + h) - 180
The formula to calculate the volume of a box is V = a3 + 3a2b + 3ab2 + b3.
Substituting in x = 1 and h = the increase, we get:
V(1 + h) - V(1) = 4(1 + h)3 - 61(1 + h)3 + 240(1 + h) - 180
Therefore, the volume of the box changes by 4(1 + h)3 - 61(1 + h)3 + 240(1 + h) - 180 when x=1 and increases by h.
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