Answers
Related Questions
how to solve (s + 5)(s - 5)
Answers
Answer:s^2-25
Step-by-step explanation:
Answer:
you would have to multiply so,
s*s is s^2
s*-5 is -5s
s*5 is 5s
5*-5 is -25
the final answer would be s^2-25 (-5s and 5s cancel each other out)
hope this helped!!
the steepest angle at which unconsolidated granular material remains stable is ________.
Answers
The steepest angle at which unconsolidated granular material remains stable is known as the angle of repose.
The steepest angle at which unconsolidated granular material remains stable is known as the angle of repose. This angle varies depending on the properties of the granular material such as size, shape, and degree of consolidation. The angle of repose is a critical factor in many fields such as engineering, geology, and agriculture. For example, in civil engineering, the angle of repose is essential in designing stable slopes and retaining walls. In agriculture, it is crucial for understanding the flow and distribution of granular materials such as seeds, fertilizers, and grains. In general, the angle of repose for unconsolidated granular materials ranges from 25 to 45 degrees, but it can be higher for certain materials such as sand, or smaller for cohesive soils.
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you have two large bins of marbles. in bin a, 40% of the marbles are red. in bin b, 52% of the marbles are red. you select a simple random sample of 30 marbles from bin a and 40 marbles from bin b. what is the probability that the proportion of red marbles in the sample from bin a is greater than the proportion of red marbles from bin b?
Answers
The prοbability that the prοpοrtiοn οf red marbles in the sample frοm bin a is greater than the prοpοrtiοn οf red marbles frοm bin b is 0.1573.
What is prοbability?Prοbability is a way οf calculating hοw likely sοmething is tο happen. It is difficult tο prοvide a cοmplete predictiοn fοr many events. Using it, we can οnly fοrecast the prοbability, οr likelihοοd, οf an event οccurring. The prοbability might be between 0 and 1, where 0 denοtes an impοssibility and 1 denοtes a certainty.
Here by using probability calculator for sampling distribution of \(p_1-p_2\).
\(z=\frac{\hat p_1-\hat p_2}{\sqrt{\frac{p_1(1-p_1)}{n_1}+\frac{p_2(1-p_2)}{n_2}}}\)
Here \(\hat p_1=p_1\) = 40% = 0.40 and \(\hat {p_2}=p_2\) = 52% = 0.52 and \(n_1=0 , n_2=40\)
=> \(z=\frac{0.40-0.52}{\sqrt{\frac{0.40(1-0.40)}{0}+\frac{0.52(1-0.52)}{40}}}\)
=> z = -1.00561
Here \(\hat p_1 > \hat p_2\)
=> \(\hat p_1 - \hat p_2 > 0\)
Then , P(x<z) = 0.1573.
Hence the prοbability that the prοpοrtiοn οf red marbles in the sample frοm bin a is greater than the prοpοrtiοn οf red marbles frοm bin b is 0.1573.
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7 and -3 are the roots of the quadratic equation x^2+kx-21=0 what is the value of k
Answers
Answer:
-4
Step-by-step explanation:
The roots are 7 and -3, so the factored version is (x - 7) (x + 3)
Foil them and you get x^2 - 4x - 21
Diana is crafting an email to her team about a new project that needs to start right away. In order for her team to act immediately, diana should ensure the message is
Answers
Answer:
To ensure that her team will act immediately, Diana should say the message is very important, or urgent.
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
Have a blessed day and remember to keep smiling! :)
Find the probability of drawing 3 Aces at random from a deck of 52 ordinary playing cards if the cards are:_________
A) Replaced
B) Not Replaced
Answers
Answer:
a. With replacement
1/2197
b. Without replacement
1/5,525
Step-by-step explanation:
Okay, here is a probability question.
The key to answering this question is by knowing the number of aces in a deck of cards.
There is 1 ace per suit, so there is a total of 4 aces per deck of cards.
So, mathematically the probability of picking an ace would be;
number of aces/ total number of cards = 4/52 = 1/13
a. Now since the action is with replacement; that means that at any point in time, the total number of cards would always remain 52 even after making our picks.
So the probability of picking three aces with replacement would be;
1/13 * 1/13 * 1/13 = 1/2197
b. Without replacement
what this action means is that after picking a particular card, we do not return the picked card to the deck of cards.
For the first card picked, we will be having a total of 4 aces and 52 total cards.
So the probability of picking an ace would be 4/52 = 1/13
For the second card picked, we shall be left with selecting an ace out of the remaining 3 aces and the total remaining 51 cards
So the probability will be 3/51 = 1/17
For the third and last card to be picked, we shall be left with picking 1 out of the remaining 2 aces cards and out of the 50 cards left in the deck.
So the probability now becomes 2/50 = 1/25
Thus, the combined probability of picking 3 aces cards without replacement from a deck of cards will be;
1/13 * 1/17 * 1/25 = 1/5,525
Using the binomial and the hypergeometric distribution, it is found that the probabilities are:
a) 0.0005 = 0.05%.
b) 0.0002 = 0.02%.
Item a:
With replacement, hence the trials are independent, and the binomial distribution is used.
Binomial probability distribution
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.For this problem:
In a deck, there are 52 cards, of which 4 are Aces, hence \(p = \frac{4}{52} = 0.0769\)3 cards are drawn, hence \(n = 3\).The probability is P(X = 3), then:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 3) = C_{3,3}.(0.0769)^{3}.(0.9231)^{0} = 0.0005\)
0.0005 = 0.05% probability.
Item b:
Without replacement, hence the trials are not independent and the hypergeometric distribution is used.
Hypergeometric distribution:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
Deck of 52 cards, hence \(N = 52\).4 of the cards are Aces, hence \(k = 4\).3 cards are drawn, hence \(n = 3\).The probability is also P(X = 3), hence:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = 3) = h(3,52,3,4) = \frac{C_{4,3}C_{48,0}}{C_{52,3}} = 0.0002\)
0.0002 = 0.02% probability.
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Solve the math problem
Answers
Answer/Step-by-step explanation:
5.)
Square = 2
Triangle = 3
Circle = 3
Star = 4
2(circle) + 2(triangle) = 12
12 ÷ 4 = 3
2(3) + 2(3) = 12
2(triangle) + 2(square) = 10
2(3) + 2(square) = 10
6 + 2(square) = 10
-6 -6
2(square) = 4
÷2 ÷2
Square = 2
(circle) + (star) + 2(square) = 11
(3) + (star) + 2(2) = 11
3 + (star) + 4 = 11
7 + (star) = 11
-7 -7
Star = 4
6.)
Circle = 3
Star = 5
Triangle = 4
4(star) = 20
÷4 ÷4
(star) = 5
(star) + 3(circle) = 14
5 + 3(circle) = 14
-5 -5
3(circle) = 9
÷3 ÷3
circle = 3
2(triangle) + (circle) + (star) = 16
2(triangle) + 3 + 5 = 16
2(triangle) + 8 = 16
-8 -8
2(triangle) = 8
÷2 ÷2
triangle = 4
I hope this helps!
based on the data shownin the graph how many boxes can the shipping company to pack in a 18 hour period
Answers
The equation of line is y = 12x and the number of boxes the shipping company can pack in 18 hour period is 216 boxes
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the number of hours be x
Let the number of boxes be y
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 5 , 60 )
Now , the slope of the line m = y/x
Substituting the values in the equation , we get
Slope m = 60 / 5 = 12
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 60 = 12 ( x - 5 )
y - 60 = 12x - 60
y = 12x
Now , when x = 18 hours
y = 12 ( 18 ) boxes
y = 216 boxes
Hence , the number of boxes is 216 boxes
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a grating that has 3200 slits per cm produces a third-order fringe at a 24.0 ∘ angle.
Answers
To solve this problem, we can use the grating equation:
m * λ = d * sin(θ)
Where:
m is the order of the fringe
λ is the wavelength of light
d is the slit spacing (distance between adjacent slits)
θ is the angle of the fringe
In this case, we're given:
m = 3 (third-order fringe)
θ = 24.0°
We need to calculate the slit spacing (d) using the information that the grating has 3200 slits per cm. First, we convert the number of slits per cm to the slit spacing in meters:
slits per cm = 3200
slits per m = 3200 * 100 = 320,000
Now we can calculate the slit spacing (d):
d = 1 / (slits per m)
d = 1 / 320,000
Now, let's substitute the given values into the grating equation and solve for λ (wavelength):
m * λ = d * sin(θ)
3 * λ = (1 / 320,000) * sin(24.0°)
λ = (1 / (3 * 320,000)) * sin(24.0°)
Using a calculator, we can calculate the value of λ:
λ ≈ 5.79 × 10^(-7) meters or 579 nm
Therefore, the wavelength of light for which the grating with 3200 slits per cm produces a third-order fringe at a 24.0° angle is approximately 579 nm.
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Adding an irrelevant variable to a regression will:
Group of answer choices
A-Have no effect on the regression results.
B-Tend to bias the coefficients for the other regressors.
C-Lower the R2.
D-None
Answers
A- Have no effect on the regression results.
Adding an irrelevant variable to a regression analysis, also known as a "nuisance variable" or "noise variable," is not expected to have a substantial effect on the regression results. The coefficient estimates for the relevant variables and the overall fit of the model should remain largely unchanged.
Including an irrelevant variable may slightly increase the complexity of the regression model, which can lead to a decrease in the precision of coefficient estimates. However, it does not necessarily introduce bias or impact the overall interpretation of the relevant variables.
the most appropriate answer is A - Adding an irrelevant variable to a regression will have no effect on the regression results.
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what is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14
Answers
y = -1/2x - 4
Step-by-step explanation:
First we wanna convert x + 2y = 14 into a slope-intercept equation.
x + 2y = 14
2y = 14 - x
y = 7 - x/2 or y = -1/2x + 7
Now that we have the line in slope-intercept form, we can solve for a line that is parallel to.
But first, what do parallel lines have in common? Parallel lines never intersect first of all and second they have the same slope so meaning we’re going to use -1/2 in order to find the equation of a parallel line so…
y = -1/2x + b
use the given point in the question
0 = -1/2(-8) + b
0 = 4 + b
b = 0 - 4
b = -4
The y-intercept of the line is -4
The equation of the line that passes through the point (-8, 0) and is parallel to the line x + 2y = 14 is y = -1/2x - 4
f (x) = x2 + 4
What is the value of x when f (x) = 42
A. -2
В. 0
C 12
D. 20
Answers
Answer:
f(x)=X^2+4
f(x)=42
42=X^2+4
X^2+4=42
X^2=42-4
X^2=38
X=sqrt(38)=6.16
\( \sqrt{?} \)
A Moving to another question will save this response. ≪ Question 16 4 points Jean purchases a house for $750,000 and is able to secure an interest only, 5 year fixed rate mortgage for $600,000 at 5% interest. After five year, the house appreciates to $792078.31. What is Jean's equity as a percent of the house value? Write your answer as a percent rounded to two decimal points without the % sign (e.g. if you get 5.6499%, write 5.65 ). Nastya takes our a 10-year, fixed rate, fully amortizing loan for $622422 with 5.2% interest and annual payments. What will be her annual payments? Round your answer to the nearest cent (e.g. if your answer is $1,000.567, enter 1000.57).
Answers
Nastya's annual payments on the loan will be approximately $7,350.68 (rounded to the nearest cent).
To find Jean's equity as a percent of the house value, we need to calculate the equity and divide it by the house value, then multiply by 100 to get the percentage.
Jean's equity is the difference between the house value and the mortgage amount. So, the equity is $792078.31 - $600,000 = $192,078.31.
To calculate the percentage, we divide the equity by the house value and multiply by 100: ($192,078.31 / $792078.31) * 100 = 24.26%.
Therefore, Jean's equity as a percent of the house value is 24.26%.
Now, let's move on to Nastya's question.
To calculate Nastya's annual payments on a fully amortizing loan, we need to use the formula for calculating the monthly payment:
P = r * PV / (1 - (1 + r)^(-n))
Where:
P = Monthly payment
r = Monthly interest rate (annual interest rate / 12)
PV = Present value of the loan
n = Total number of payments
Given:
PV = $622,422
Annual interest rate = 5.2%
n = 10 years
First, we need to convert the annual interest rate to a monthly interest rate: 5.2% / 12 = 0.43333%.
Next, we substitute the values into the formula and solve for P:
P = (0.0043333 * 622422) / (1 - (1 + 0.0043333)^(-10))
Using a calculator, we get P ≈ $7,350.68.
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A road running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and an airplane is flying east above the second road. At a particular time the car is 15 kilometers to the north of P and traveling at 60 km/hr, while the airplane is flying at speed 185 km/hr 10 kilometers east of P at an altitude of 2 km. How fast is the distance between the car and the airplane changing?
Answers
Answer:
D^2 = (x^2 + y^2) + z^2
and taking derivative of each term with respect to t or time, therefore:
2*D*dD/dt = 2*x*dx/dt + 2*y*dy/dt + 0 (since z is constant)
divide by 2 on both sides,
D*dD/dt = x*dx/dt + y*dy/dt
Need to solve for D at t =0, x (at t = 0) = 10 km, y (at t = 0) = 15 km
at t =0,
D^2 = c^2 + z^2 = (x^2 + y^2) + z^2 = 10^2 + 15^2 + 2^2 = 100 + 225 + 4 = 329
D = sqrt(329)
Therefore solving for dD/dt, which is the distance rate between the car and plane at t = 0
dD/dt = (x*dx/dt + y*dy/dt)/D = (10*190 + 15*60)/sqrt(329) = (1900 + 900)/sqrt(329)
= 2800/sqrt(329) = 154.4 km/hr
154.4 km/hr
Step-by-step explanation:
eleven less than five times a number is 24. find the number
Answers
Answer:
7
Step-by-step explanation: please mark brainliest
(5*7)-11=24
What is 0.1326 as a unit rate?
Answers
Answer:
0.13
Step-by-step explanation:
because you have to round up when the fourth number is from 0-4 it stays the same but when its from 5- and up it goes up one
Which equations can pair with y = 3x – 2 to create a consistent and independent system? x = 3y – 2 y = –3x – 2 y = 3x + 2 6x – 2y = 4 3y – x = –2
Answers
Answer:
\((a)\ x = 3y - 2\)
\((b)\ y = -3x - 2\)
\((e)\ 3y - x = -2\)
Step-by-step explanation:
Given
\(y =3x -2\)
Required
Equations that can create consistent and independent systems
For a pair of equation to have consistent and independent systems, the equations must have different slopes.
An equation of the form \(y = mx + c\) has m has its slope.
In \(y =3x -2\)
\(m = 3\) --- slope
Considering the options
\((a)\ x = 3y - 2\)
Make y the subject
\(x = 3y - 2\)
\(3y = x+2\)
Divide by 3
\(y = \frac{1}{3}x+\frac{2}{3}\)
The slope is:
\(m_1 = \frac{1}{3}\)
Hence, (a) can make a consistent and independent system with \(y =3x -2\)
\((b)\ y = -3x - 2\)
The slope is:
\(m= -3\)
Hence, (b) can make a consistent and independent system with \(y =3x -2\)
\((c)\ y = 3x + 2\)
The slope is:
\(m=3\)
Hence, (c) cannot make a consistent and independent system with \(y =3x -2\)
\((d)\ 6x - 2y = 4\)
Make y the subject
\(2y = 6x -4\)
Divide by 2
\(y = 3x -2\)
The slope is
\(m =3\)
Hence, (d) cannot make a consistent and independent system with \(y =3x -2\)
\((e)\ 3y - x = -2\)
Make y the subject
\(3y = x -2\)
Divide by 3
\(y = \frac{1}{3}x -\frac{2}{3}\)
The slope is:
\(m = \frac{1}{3}\)
Hence, (e) can make a consistent and independent system with \(y =3x -2\)
A tank has 120 gallons of
water and is being drained at a rate of
gallon each second. Another tank has 100
gallons of water and is being drained at a
rate of á gallon each second. Which equation
could be used to determine x, the number of
seconds, when the two tanks have the same
amount of water?
Answers
a certain species of deer Is to be introduced Into a forest Wildlife experts estimate The population will grow to P(t)= (988)3 1/2 where t where represents The number of years from the time of introduction.How long will it take for the population to reach 26676 deer according to this model?
Answers
Using exponential function it will take approximately 2.6 years for the population to reach 26676
Exponential FunctionExponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). An exponential function can be in one of the following forms.
The formula given in this question is
P(t) = 988(3.5)ˣ
x = number of years from time of introductionThe time it will take to reach a population of 26676 is
26676 = 988(3.5)ˣ
x = 2.6 years
It will take approximately 2.6 years
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Which expression is equivalent to 4^-5 • 3^-5 ?
Answers
The expression equivalent to 4^-5 • 3^-5 is 12^-5
What are equivalent expressions?Equivalent expressions are simply known as expressions with the same solution but different arrangement.
Given the index expressions;
4^-5 • 3^-5
Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.
This can be written as;
4(3) ^ -5
expand the bracket
12^-5
Thus, the expression equivalent to 4^-5 • 3^-5 is 12^-5
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what is (6x-4)+(5z+8)
Answers
Combine like terms.
6x + 5z + 4
(1 point) Consider the following linear system: How many solutions does this system have? Ο Α. 0 O B. 1 C. 2 O D. 3 O E. 4 O F. Infinitely many 2x +9y+7z = -9 -6x + y − 3z = −5
Answers
To determine the number of solutions for the given linear system, we can analyze the consistency of the system by performing row operations on the augmented matrix. If we end up with a row of zeros on the left side and a nonzero number on the right side, the system is inconsistent and has no solution. If we end up with a row of zeros on the left side and a zero on the right side, the system has infinitely many solutions. If we don't encounter these cases, the system has a unique solution.
Let's represent the given linear system in augmented matrix form:
[ 2 9 7 | -9 ]
[ -6 1 -3 | -5 ]
Perform row operations to simplify the augmented matrix. Apply row operations to eliminate the coefficients below the pivot in each row. Use Gaussian elimination or any other row reduction method. After performing the row operations, we obtain the row-echelon form or reduced row-echelon form of the matrix.
Analyze the row-echelon form: If we end up with a row of zeros on the left side and a nonzero number on the right side, the system is inconsistent and has no solution. If we end up with a row of zeros on the left side and a zero on the right side, the system has infinitely many solutions. If neither of these cases occurs, the system has a unique solution.
The augmented matrix representing the system is:
[ 2 9 7 | -9 ]
[ -6 1 -3 | -5 ]
Performing row operations, we can simplify the matrix.
[ 1 4.5 3.5 | -4.5 ]
[ 0 1 -1/2 | 1/2 ]
Since we have a row of zeros on the left side and a nonzero number (1/2) on the right side, the system is inconsistent and has no solution. Therefore, the correct answer is option A: 0 solutions. By examining the row-echelon form, we can conclude that the given linear system does not have a solution that satisfies all the equations simultaneously.
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Sales tax in Rally County is 8%. What would the amount of tax be on a $50 restaurant bill? Express your answer in the form of a decimal
Answers
50x4%=4
50+4=54
Help me!
In the figure angles of ∠ABC and ∠PQR are equal.
a) Would their sides also be equal?
b) Why?
l want correct answers!
Answers
Answer:
Yes
Step-by-step explanation:
The reason can simply because they are similar shapes (triangle) which reports same sides same angle
.In a presidential election, 308 out of 611 voters surveyed said that they voted for the candidate who won (based on data from ICR Survey Research Group). Use a 0.05 significance level to test the claim that among all voters, the percentage who believe that they voted for the winning candidate is equal to 43%, which is the actual percentage of votes for the winning candidate. What does the result suggest about voter perceptions
Answers
Answer:
Since the calculated value exceeds the critical value;
we Reject Null hypothesis.
We conclude that, there is no sufficient evidence that The percentage of people who believe they voted for winning candidate is equals to 43% or 0.43
Step-by-step explanation:
Given the data in the question;
308 out of 611 voters are surveyed saying they voted for the candidate that won.
that is;
x = 308
sample size n = 611
Hypothesis;
Null hypothesis H₀ : p = 43% or 0.43 { The % of people who believe they voted for winning candidate equals 43% }
Alternative hypothesis H₁ : p ≠ 43% or 0.43 { The % of people who believe they voted for winning candidate is not equal to 43% }
Sample proportion p" = x / n = 308 / 611 = 0.504
level of significance ∝ = 0.05
Critical value of Z = \(Z_{\alpha /2\) = 1.96
Test Statistics
z = (p" - p) / √( p(1-p) / n )
we substitute
z = (0.504 - 0.43) / √( 0.43(1-0.43) / 611 )
z = 0.074 / √( 0.2451 / 611 )
z = 0.074 / 0.02
z = 3.7
We compare;
Since the calculated value is exceeds the critical value;
we Reject Null hypothesis.
We conclude that, there is no sufficient evidence that The percentage of people who believe they voted for winning candidate is equals to 43% or 0.43
What is one benefit of using electronic flash cards?
They can be searched using keywords.
O They may have different alarm settings.
• They may provide a personal organizer.
O They can be used to jot down messages.
Answers
Answer:
A. They can be searched using keywords.
A television station claims that the amount of advertising per hour of broadcast time has an average of 16 minutes and a standard deviation equal to 1.4 minutes. You watch the station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 8 minutes. Calculate the z-score for this amount of advertising time. Group of answer choices
Answers
Answer:
-4.29
Step-by-step explanation:
The computation of the z score is shown below:
data provided in the question
Average minutes = 16 minutes
Standard deviation = 1.4 minutes
Amount of advertising time = 8 minutes
Based on the above information, the z score is
\(= \frac{x-m}{\sigma} \\\\ = \frac{8-14}{\1.4} \\\\ = \frac{-6}{1.4}\)
= -4.29
Hence, the z score is -4.29. It is come by considering the above formula
What is the pattern for this sequence? 2 , 0 , -2 , -4 , -6 , ... A. Each number in the sequence is 3 less than the previous number. B. The sequence decreases by multiples of 3: first by 3, then 6, then 9, then 12. C. The sequence decreases by multiples of 2: first by 2, then 4, then 6, then 8. D. Each number in the sequence is 2 less than the previous number.
Answers
Answer:
I believe the correct answer is D
Which graph represents a function?
Answers
Answer:
C
Step-by-step explanation:
Is 2x+y=4 linear? If it is what is the slope and y intercept?
Answers
Answer: Yes, it is linear. The slope is -2
Step-by-step explanation:
move the 2x over to the other side and get y=-2x+4, the slope in a linear equation is m in the formula y=mx+b, in this case, m=-2