Answer:
6 m
Step-by-step explanation:
36 m^2 = bh/2
36·2 = bh/2·2
72 = bh
72 = 12·6
check
36 m^2 = 12·6/2
36 = 36
:)
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer: #1 is the answer. Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Notice how the pairs of alternating exterior angles lie on opposite sides of the transversal but outside the two parallel lines.
Step-by-step explanation: Parallel Lines: Definition: We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side. Pictorially, parallel lines run along each other like the tracks of a train.
Write a fraction and a percent to represent the shaded portion of the model.
Fraction:
Percent:
Answer:
Fraction:[tex]\frac{5}{9}[/tex]
Percent: to the nearest percent 56% or 55.5555555556%
Step-by-step explanation:
There are nine total parts and 5 of those parts are shaded
You would divide 5 by 9 to get the percent then multiply it by 100
Answer:
5/9
or
45%
Step-by-step explanation:
three times one number minus a second is 8 and the sum of the number is 12
Answer:
one number is 2
second number if 3 1/3
Step-by-step explanation:
a = one number
b = second number
3a - b = 8
3a + b = 12
add together:
6a = 20
a = 20/6 or 10/3
find 'b':
3(10/3) - b = 8
10 - b = 8
-b = -2
b = 2
Step by step please
Please
Answer:
137/1000
Step-by-step explanation:
Because we have 3 numbers after 0....
hope it helps
Can someone please help me?
Answer:
D
Step-by-step explanation:
This is a pythagoream thereom question, the area of a square can be found by multiplying the sides. All the sides of a sqaure are the same so we are basically sqauring the side lengths. That is where the [tex]BE^{2}[/tex] and [tex]BH^{2}[/tex] come from. The problem tells us that the area of the two small squares are equal to the one bigger square. And the area of the bigger sqaure can be found by squaring that side EH. So [tex]BE^{2}[/tex]+[tex]BH^{2} =EH^{2}[/tex].
Help me ASAP HELP ME ASAP HELP ME ASAP
9514 1404 393
Answer:
9%
Step-by-step explanation:
The interest earned is ...
I = Prt . . . . . principal P at annual rate r for t years
Solving for r, we find ...
r = I/(Pt) = $540/($3000×2) = 0.09 = 9%
The interest rate on Beka's loan is 9%.
Consider harmonic oscillators with mass m, spring constant k, and damping coefficient b. For the values specified,
a. write the second-order differential equation and the corresponding first-order system.
b. find the eigenvalues and eigenvectors of the linear system.
c. classify the oscillator (as underdamped, overdamped, critically damped, or undamped) and, when appropriate, give the natural period.
d. sketch the phase portrait of the associated linear system and include the solution curve for the given initial condition.
Answer:
a) attached below
b) Eigen values : λ1 = -1 and λ2 = - 1/2
Eigenvector : V1 = - y1 and V2 = ( - 1/2 ) y2
c) since the Oscillator is > 0 hence it is Overdamped
Step-by-step explanation:
Lets take : m = 2 , k = 1 and b = 3
a) Second -order differential equation and the first order system
attached below
b) determine the eigenvalues and eigenvectors of the Linear system
Eigen values : λ1 = -1 and λ2 = - 1/2
Eigenvector : V1 = - y1 and V2 = ( - 1/2 ) y2
attached below is the detailed solution
c) The oscillator is classified as OVERDAMPED
To determine if the oscillator is damped, underdamped, or overdamped we will apply the relation below
b^2 - 4km
( 3 )^2 - 4(1)(2) = 1
since the Oscillator is > 0 hence it is Overdamped
d) Attached below is the phase portrait of the associated linear system
y(0) = 0
v(0) = 0
what si the answer to this??
Answer:
One solution
Step-by-step explanation:
The slopes are different which means, the systems has one solution.
hope this helps and is right p.s. i really need brainliest :)
The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the Quality of Management and the Reputation of the Company for over 250 world-wide corporations. Both the Quality of Management and the Reputation of the Company were rated on an Excellent, Good, and Fair categorical scale. Assume the sample data for 200 respondents below applies to this study.
Reputation of Company
Quality of management Excellent Good Fair
Excellent 40 25 5
Good 35 35 10
Fair 25 10 15
Required:
a. Use α = 0.05 level of significance and test for independence of the quality of management and the reputation of the company. What is the p-value and what is your conculsion??
b. If there is a dependence or association between the two ratings, discuss and use the probabilities to justify your answer.
Answer:
The calculated χ² = 17.0281 falls in the critical region χ² ≥ 9.49 so we reject the null hypothesis that the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent
The p-value is 0 .001909. The result is significant at p < 0.05
Part b:
40 > 8.5
35> 7.5
25> 4
Step-by-step explanation:
1) Let the null and alternative hypothesis as
H0: the quality of management and the reputation of the company are independent
against the claim
Ha: the quality of management and the reputation of the company are dependent
2) The significance level alpha is set at 0.05
3) The test statistic under H0 is
χ²= ∑ (o - e)²/ e where O is the observed and e is the expected frequency
which has an approximate chi square distribution with ( 3-1) (3-1)= 4 d.f
4) Computations:
Under H0 ,
Observed Expected E χ²= ∑(O-e)²/e
40 35.00 0.71
25 24.50 0.01
5 10.50 2.88
35 40.00 0.62
35 28.0 1.75
10 12.00 0.33
25 25.00 0.00
10 17.50 3.21
15 7.50 7.50
∑ 17.0281
Column Totals 100 70 30 200 (Grand Total)
5) The critical region is χ² ≥ χ² (0.05)2 = 9.49
6) Conclusion:
The calculated χ² = 17.0281 falls in the critical region χ² ≥ 9.49 so we reject the null hypothesis that the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent.
7) The p-value is 0 .001909. The result is significant at p < 0.05
The p- values tells that the variables are dependent.
Part b:
If we take the excellent row total = 70 and compare it with the excellent column total= 100
If we take the good row total = 70 and compare it with the good column total= 80
If we take the fair row total = 50 and compare it with the fair column total= 30
The two attributes are said to be associated if
Thus we see that ( where (A)(B) are row and columns totals and AB are the cell contents)
AB> (A)(B)/N
40 > 1700/200
40 > 8.5
35> 1500/200
35> 7.5
25> 800/200
25> 4
and so on.
Hence they are positively associated
A single 6-sided die is rolled. Which BEST describes the probability of rolling a number 4 or less? 1) A ) impossible B) unlikely likely certains
Answer:
it is likely because the majority of the outcomes are in your favor
Answer:
A
Step-by-step explanation:
Impossible, did it on usatestprep
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
hope this helps (if it does can i have brainliest, please??)
Step-by-step explanation:
I believe that is <KLJ and <MLJ
Answer:
KLJ and MLJ
Step-by-step explanation:
Supplemenatry angles add up to 180 degrees. Since these two angles form a straight line, it can be assumed that they add up to 180 degrees. Hope it helps :)
pls help find area and perimeter
Answer:
A is 14 and P is 17
Step-by-step explanation:
working is above mentioned
The relationship below is proportional true or false
Answer:
false.........
Step-by-step explanation:
......
HELP MEEEE !!!
Plsssss
Amy and Sara's ages are consecutive even integers. The product of their ages is 528. If Sara is
younger, how old is Amy?
Write an equation that can be used to find their ages.
Answer:
24
Step-by-step explanation:
Sara = x age
Amy = x+2 when Sara x = 22 Amy is x + 2 = 24
Product of ages = 528 so............
x(x+2) = 528
x² + 2x - 528 = 0 solve for x I did it graphically first to get x = -24, 22
(x+24) (x-22) = 0
(x+24) = 0 (x-22) = 0
x = -24 x = 22 since you really can't have a negative age
Solve the system of equations by graphing
Answer:
Here's a graph to help you solve this answer:
The formula A = 23.1 e 0.01521 models the population of a US state, A, in millions, t years after 2000.
a. What was the population of the state in 2000?
b. When will the population of the state reach 28.3 million?
a. In 2000, the population of the state was__million.
b. The population of the state will reach 28.3 million in ___.
Answer:
- The population in 2001 is 23.1 million
- It will reach 28.3 million in 2013
Step-by-step explanation:
Given
[tex]A =23.1e^{0.0152t}[/tex]
Solving (a): Population in 2000.
This implies that
[tex]t = 2000 - 2000[/tex]
[tex]t = 0[/tex]
So, we have:
[tex]A =23.1e^{0.0152t}[/tex]
[tex]A =23.1e^{0.0152*0}[/tex]
[tex]A =23.1e^{0}[/tex]
Solve the exponent
[tex]A =23.1*1[/tex]
[tex]A =23.1[/tex]
The population in 2001 is 23.1 million
Solving (b): When will it reach 28.3 million
This implies that:
[tex]A =28.3[/tex]
So, we have:
[tex]A =23.1e^{0.0152t}[/tex]
[tex]28.3 = 23.1e^{0.0152t}[/tex]
Divide both sides by 23.1
[tex]1.225 = e^{0.0152t}[/tex]
Take natural logarithm of both sides
[tex]ln\ 1.225 = ln(e^{0.0152t})[/tex]
Rewrite as:
[tex]ln\ 1.225 = 0.0152t\ ln(e)[/tex]
[tex]ln(e) = 1[/tex]
So:
[tex]ln\ 1.225 = 0.0152t*1[/tex]
[tex]ln\ 1.225 = 0.0152t[/tex]
Make t the subject
[tex]t = \frac{ln\ 1.225}{0.0152}[/tex]
[tex]t = \frac{0.2029}{0.0152}[/tex]
[tex]t \approx 13[/tex]
Add the value of t to 2013 to get the actual year
[tex]Year = 2000 +13[/tex]
[tex]Year = 2013[/tex]
It will reach 28.3 million in 2013
Can someone help me? I am stuck on this question! and tysm for the people who helped me!! <3 have a nice day!
LCM of (2^3×3×5) and (3×5) is
Answer:
120
Step-by-step explanation:
LCM of (2^3×3×5) and (3×5) is
The LCM of the expression will be the product of all the factors that are in both expressions
(2^3×3×5) = 2 * 2 * 2 * 3 * 5
(3 * 5) = 3 * 5
since 3 * 5 is common to both factors, we will not have to repeat it twice to get our LCM again. Hence the LCM is expressed as;
LCM = 2 * 2 * 2 * 3 * 5
LCM = 8 * 3 *5
LCM = 24 * 5
LCM = 120
Hence the required LCM is 120
A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 22.4 pounds and a standard deviation of 5.8 pounds. Step 1 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 73 people on this diet, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answer:
sampling distribution = 22.4
sampling deviation = 0.68
Step-by-step explanation:
Given that :
Mean , μ = 22.4
Standard deviation, σ = 5.8
n = 73
Therefore, the sampling distribution of the mean and the standard deviation is
[tex]$\mu_{\overline x} = 22.4$[/tex]
So, [tex]$\sigma_{\overline x}=\frac{\sigma}{\sqrt n}$[/tex]
[tex]$=\frac{5.8}{\sqrt {73}}$[/tex]
= 0.68
So the sampling distribution of the mean is 22.4
The standard deviation is 0.68
sphere has a diameter of 14 ft. What is its surface area?
Which expression is equivalent to this: "3 multiplied by z"?
Answer:
3z
Step-by-step explanation:
When you write a number followed by a variable with no operation in between them, it means multiplication.
3 multiplied by z is 3 * z, but you can write it without the multiplication sign simply as 3z.
A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are the results of his random sampling: Pine Trees Spruce Trees Sample Size 40 80 Mean trunk diameter (cm) 35 30 Population variance 160 160 Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree
Answer:
As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.
Step-by-step explanation:
Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree
The null hypothesis is that they are equal(that is, subtraction between the means is 0), while the alternate hypothesis is that they are greater(that is, subtraction between the means is larger than 0). So
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
[tex]H_a: \mu_1 - \mu_2 > 0[/tex]
In which [tex]\mu_1[/tex] is the mean pine trees height while [tex]\mu_2[/tex] is the mean spruce trees height.
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
Mean trunk diameter (cm) 35 30:
Pine trees - 35
Spruce trees - 30
The sample mean is given by the subtraction of the means. So
[tex]X = 35 - 30 = 5[/tex]
Sample Size 40 80
Population variance 160 160
This means that the standard error for each sample is given by:
[tex]s_1 = \frac{\sqrt{160}}{\sqrt{40}} = 2[/tex]
[tex]s_1 = \frac{\sqrt{160}}{\sqrt{80}} = \sqrt{2}[/tex]
The standard error of the difference is the square root of the sum squared of the standard error of each sample.
[tex]s = \sqrt{2^2 + (\sqrt{2})^2} = \sqrt{6} = 2.4495[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{5 - 0}{2.4495}[/tex]
[tex]z = 2.04[/tex]
Pvalue of the test:
Probability of a sample mean larger than 5, which is 1 subtracted by the pvalue of Z when X = 5.
Looking at the z-table, z = 2.04 has a pvalue of 0.9793.
1 - 0.9793 = 0.0207
As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.
Find the sum of the following arithmetic series:
(a) 6-5-16 - .... -115 (b) 21
(c) 13 + 6 -1 - .... -106
Find the sum of the first 500 odd numbers.
Answer:
12345678910
Step-by-step explanation:
CHARRRRRRRRR joke lang bestie
Please help very urgent
Answer:
all sides are equal so the x is 50.1 degree and nearest 100 will be 100
please mark me as brainliest
Which line has a slope of 0?
Answer:
y =-10
Step-by-step explanation:
because there is no value of x so the slope of y is-10
Need help don’t understand thank you
Answer:
1: mean equals 17.417, median is 12.75, mode is 8.2, range is 33, the minimum is 8.2 the maximum is 41.2. The IQR is 16.55, the quartiles is q1: 8.95, q2: 12.75, q3 is 25.5, there are no outliers.
2: the best middle is 12.75 because the median is usually the middle number but if you orgainze the numbers there will be two but you will end up getting 12.75 as your median. take the two middle number add together then divide by 2 then that is your answer.
Step-by-step explanation:
GOOD LUCK
find the length of the missing side.
Answer:
I believe it is 12
Step-by-step explanation:
but I am not 100 percent sure
PLEASE HELP ASAP
Find the greatest common factor of these two expressions:
30x^8 w^4 v^3 and 12w^7 v^5
Answer:
[tex]Factor = 6w^4 v^3[/tex]
Step-by-step explanation:
Given
[tex]30x^8 w^4 v^3[/tex] and [tex]12w^7 v^5[/tex]
Required
Determine the common factor.
To do this, we simply factorize each. SO, we have:
[tex](1)\ 30x^8 w^4 v^3=: 2 * 3 * 5 * x^8 * w^4 * v^3[/tex]
[tex](2)\ 12w^7 v^5:=\ 2 * 2 * 3 * w^4*w^3 * v^3 * v^2[/tex]
Check for similar factors.
[tex]Factor = 2 *3 * w^4 * v^3[/tex]
[tex]Factor = 6w^4 v^3[/tex]
The above represents the similar factor
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
∠RQO and ∠STV
∠PQO and ∠UTV
Step-by-step explanation: