Answer:
\(6\sqrt{6}\)
Step-by-step explanation:
\(\sqrt{12} =2\sqrt{3}\\\sqrt{18} =3\sqrt{2} \\6\sqrt{6}\)
What is the slope of the line that passes through the points (8,4) and (20,-4)?
Write your answer in simplest form.
Answer:-2/3
Step-by-step explanation:
Slope formula is (y2-y1)/(x2-x1)
(4--4)/(8-20)
8/-12
Simplify
-2/3
suppose that a department contains 12 men and 15 women. how many ways are there to form a committee with six members if it must have more women than men?
As per the combination method, the number of ways to form a committee with six members if it must have more women than men is 91,350.
The total number of ways to form a committee with six members from the 27 people in the department is:
²⁷C₆ = 27! / (6! * (27 - 6)!) = 134,490
Now, we need to find the number of ways to form a committee with more women than men. We can use the concept of unitary method to do this. Let x be the number of women in the committee, then the number of men in the committee will be (6 - x), since the total number of members in the committee is 6.
Since we need to have more women than men, we have the following inequality:
x > (6 - x)
Simplifying this inequality, we get:
2x > 6
x > 3
Therefore, the number of women in the committee must be greater than 3.
Now, we can use another formula for combinations to find the number of ways to form a committee with more women than men. Let's call this number W, then we have:
W = (¹⁵C₄ x ¹²C₂) + (¹⁵C₅ x ¹²C₁) + (¹⁵C₆ x ¹²C₀)
The first term in this equation represents the number of ways to choose 4 women and 2 men from the department, the second term represents the number of ways to choose 5 women and 1 man, and the third term represents the number of ways to choose 6 women and 0 men.
Using the formula for combinations, we get:
¹⁵C₄ = 15! / (4! * (15 - 4)!) = 1,386
¹²C₂ = 12! / (2! * (12 - 2)!) = 66
¹⁵C₅ = 15! / (5! * (15 - 5)!) = 3,003
¹²C₁ = 12! / (1! * (12 - 1)!) = 12
¹⁵C₆ = 15! / (6! * (15 - 6)!) = 5005
¹²C₀ = 1
Therefore, we have:
= (1,386 x 66) + (3,003 x 12) + (5005 x 1)
= 91,350
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___________ is the measure of the value of a section of the stock market and is computed from the price of selected stocks.
Answer:
stock index
Step-by-step explanation:
Answer:
stock index is the measure of the value of a section of the stock market and is computed from the price of selected stocks. (Please mark me brainliest)
Step-by-step explanation:
The mass of a hawk is around 500 grams.
in this ecosystem, how many hawks can be supported by 250,000 kilograms of producers?
recall that 1 kilogram is equivalent to 1,000 grams.
The number of hawks that can be supported by 250,000 kilograms of producers are 500 hawks.
1 hawk ≈ 500 grams
1 kg = 1,000 grams
According to the 10 percent law, only 10% of the energy is transferred to each trophic level from its lower trophic level. So, in this case, if 250,000 kg is available to the producer (grass), then only 25,000 kg will be available to the primary consumer (mice) and only 2,500 kg will be available to the secondary consumer (snakes). Then, for the tertiary consumer (hawks) will be available about 250 kg.
So, 250 kg = 250,000 grams
Since 500 grams ≈ 1 hawk
Thus, 250,000 grams ≈ 500 hawks
Hence, the number of hawks that can be supported by 250,000 kilograms of producers are 500 hawks.
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Although part of your question is missing, you might be referring to this full question: Grasses are the dominant producers in the prairie ecosystem. Mice eat the grass seed, snakes eat the mice, and hawks eat the snakes. The mass of a hawk is about 500 grams. How many hawks can be fed by 250,000 kilograms of producers in this ecosystem? Remember that 1 kilogram equals 1,000 grams.
help, i dont know any of this lol
Answer:
18m³ + 2m² – m
Combine (add and subtract) the terms that have the same variable and exponent. Do not combine terms that have different exponents or variables.
5m³ +5m³ + 8m³ = 18m³
3m² +3m² –4m² = 2m²
–2m –2m +3m = –m
If you are allocated 1 TB data to use on your phone, how many
years will it take until you run out of your quota of 1 GB/month
consumption?
If you are allocated 1 TB data to use on your phone, it will take you 83.33 years until you run out of your quota of 1 GB/month consumption.
1 Terabyte (TB) = 1,000 Gigabytes (GB
So, 1 TB = 1,000 GB
So, the total data available is 1,000 GB/month
Then, to find how many years it will take until you run out of your quota of 1 GB/month consumption, divide the total data available by the monthly consumption:
1,000 GB/month ÷ 1 GB/month = 1,000 months
To convert months to years, divide by 12:1,000 months ÷ 12 months/year ≈ 83.33 years
Therefore, it will take you 83.33 years until you run out of your quota of 1 GB/month consumption.
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Please please please help me asap!
Answer:
Distributive
Step-by-step explanation:
Casey spent $2.50 on a snack,$1.24 on gum,$3.76 on a comic book, and $5.50 on lunch. Use mental math to find the total amount he spent.
Answer:
$13
Step-by-step explanation:
Given data
$2.50 on a snack,
$1.24 on gum,
$3.76 on a comic book, and
$5.50 on lunch
Total expenses will be
=2.5+1.24+3.76+5.50
=$13
y = a(x - 2)(x + 4)
In the quadratic equation above, a is a nonzero
constant. The graph of the equation in the wy-plane
is a parabola with vertex (c,d). Which of the
following is equal to d ?
A) -9a
B) -8a
C) -5a
D) -24
Answer:
D
Step-by-step explanation:
It just is
Solve for X x+27 = -12 pls hurry pleaseeeee
Answer:
x + 27 = - 12
x = - 39
Step-by-step explanation:
In a recent court case it was found that during a period of 11 years people were selected for grand jury duty and % of them were from the same ethnicity. Among the people eligible for grand jury duty, % were of this ethnicity. Use a significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, p-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the p-value method and the normal distribution as an approximation to the binomial distribution.
The Null and Alternative hypothesis are
Hₒ: π= 0.79
Hₐ: π > 0.79
Statistic Z = -26.38
P-value = 0
Conclusion : The null hypothesis is
rejected .
Final Conclusion : which implies that population proportion is different from
π= 0.79.. This sample proportion can notbe product of chance.
There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.
We have problem of proportion and we have to apply hypothesis testing in it .
We claim that the selection is biased against allowing this ethnicity to sit on the grand jury. This means that proportion of people of enthic selected for jeury in a way below from proportion that eligible for jury .
Null and Alternative hypothesis are
Hₒ: π= 0.79
Hₐ : π> 0.79
The significance level is 0.01
The sample we will use is total of 876 people that were selected for grand jury duty (n= 876). 42% of them were entnicity for which we are testing , so sample proportion is p= 0.42
The standard error is
σₚ= s√ (π(1-π)/n)= √ 0.79 (1-0.79)/ 876 = √0.00019 = 0.0137~ 0.014
Then we can calculate Z – value
Z = (p-π+0.5/n)/ σₚ =( 0.42 – 0.79 + 0.5/876 )/ 0.014 = - 0.03964/0.014 = - 26.387
P-value for this test statistic is 0
P-value (z<-26.38)= 0
P-value = 0 < 0.01
As we see that P-value is less lower then significance level . This sample result is unpredictable. The null hypothesis is rejected which implies that population proportion is different from π= 0.79
This sample proportion can not be product of chance.
There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.
#Complete Question:
In a recent court case it was found that during a period of 11 years 876 people were selected for grand jury duty and 42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.5% were of this ethnicity. Use a 0.01 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. Which of the following is the hypothesis test to be conducted?
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Why are there 52 weeks in a year and not 48 weeks given that there are only 4 weeks per month (4 x 12 = 48)?
A month does not have four weeks, nor does a year have 52 weeks.
The ISO week-numbering year, however, has 52 or 53 weeks.
That translates to 364 or 371 days rather than the typical 365 or 366 days.
Are there 4 weeks in every month?Since every month has at least 28 days, every month has 4 full weeks.
There are extra days in some months.
1 week = 7 days.
For the months of January, March, May, July, August, October, and December, a month has 4 weeks and 3 days.
A month in April, June, September, and November has 4 weeks and 2 days.
February in a leap year has 4 weeks and 1 day in a month.
There are around 29 days more than a calendar year.
Which means 4 weeks plus some days.
From 12 month: 4 × 12 = 48 weeks.
Form 29 extra days: 4 weeks and 1 days.
Total weeks: 52 weeks in a year.
Total days: 52 × 7 + 1 = 365 days in a year.
In a leap year, the month of February has 4 weeks and 1 day.
366 days make up a leap year.
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Find the length of the third side. If necessary, round to the nearest tenth.2 5
Answer:
b= 4.6
Step-by-step explanation:
use the pythagorean theorem.
Answer:
4.6
Step-by-step explanation:
How do I solve this problem?
what is the scater plot of the data
. You have $10 saved. Each week you receive $5 in allowance. Let x represent the number of weeks you
have saved your money and y represent the amount of money you have saved after x weeks
The scatter plot of the data shows a linear relationship between the number of weeks (x) and the amount of money saved (y).
In the scatter plot, the x-axis represents the number of weeks, and the y-axis represents the amount of money saved. The initial amount of money saved is $10, and each week $5 is added to the savings.
To create the scatter plot, we start with the initial point (0, 10) on the graph, which represents the starting point. Then, for each subsequent week, we add $5 to the y-coordinate and increment the x-coordinate by 1. This process is repeated for the desired number of weeks.
The resulting scatter plot will show a series of points that form a straight line with a positive slope. Each point on the line represents the number of weeks and the corresponding amount of money saved at that time. As the number of weeks increases, the amount of money saved increases linearly.
Overall, the scatter plot visually represents the relationship between the number of weeks and the amount of money saved, showing the incremental growth of savings over time.
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Due ASAP please help :) ty
What is m% of n?
Pleaseeeee helppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
26
Step-by-step explanation:
just add a few points
A soda company is filling bottles of soda from a tank that contains 500 gallons of soda. At most, how many 20-ounce bottles can be filled from the tank?
(1 gallon = 128 ounces)
A
25
B
78
C
2,560
D
3,200
Step-by-step explanation:
the answer C
hope this helps bro
and if u need work shown lemme know
Choose the best graph that represents the linear equation:
X = -3
this shipping cost for an order at an online store is 1/10 the cost of the items you order. what is an expression for the total cost of a given order? what are the total cost for orders $43, $79, $95, and $103? $
Answer:
43$= 4.30
79= 7.90
95= 9.50
103= 10.30
all them together 326= 32.60
Step-by-step explanation:
please help
7.8 • 10^8
1.5 • 10^9
(5^3)^2 • 5^0
Answer:
780,000,000
1,500,000,000
15625
Step-by-step explanation:
\(10^{8}\) = 100,000,000
7.8 x 100,000,000 = 780,000,000
\(10^{9}\) = 1,000,000,000
1.5 x 1,000,000,000 = 1,500,000,000
\(5^{0}\) = 1
(\(5^{3}\))² = \(5^{3}\) x \(5^{3}\) = 125 x 125 = 15625
15625 x 1 = 15625
Write two numbers that multiply to the value on top and add to the value on bottom.
-72
Х
o
+
1
May someone please help me with this question please and thank you
Answer:
WHATS THE QUESTIONNNNNNNNn???????? i want to helppp you!!! its 2+2=4
Step-by-step explanation:
Step-by-step explanation:
its 4
Your 80 year-old uncle goes to the doctor and says he has a positive test for prostate cancer. He comes to you and says, "You are studying math and statistics. I heard there can be false positive tests." What is the chance I actually have prostate cancer, based on my positive test? Show how you would find this probability, and then explain to him what the answer means. (Remember, you are looking at the probability of a false positive, out of all of the total positive tests)
5.8n+3.7=29.8 pls help
Answer:
n = 4.5
Step-by-step explanation:
5.8n + 3.7 = 29.8 ( subtract 3.7 from both sides )
5.8n = 26.1 ( divide both sides by 5.8 )
n = 4.5
Answer:
so the answer to this is n= 4.5
Step-by-step explanation:
so first because you can't subtract the one with the variable you subtract 3.7 from 3.7 and 29.8 - 3.7 that cancels the 3.7 so it looks like this
5.8n + 3.7=29.8
-3.7 -3.7
5.8n = 26.1
____ ____ n= 4.5 the lines means divide
5.8 5.8
According to Newton's law of cooling (sec Problem 23 of Section 1.1), the temperature u(t) of an object satisfies the differential equation du/dt = -K(u - T) where T is the constant ambient temperature and k is a positive constant. Suppose that the initial temperature of the object is u(0) = u_0 Find the temperature of the object at any time.
Newton's law of cooling describes how the temperature of an object changes over time in response to the surrounding temperature. The equation that governs this process is du/dt = -K(u - T), where u is the temperature of the object at any given time, T is the constant ambient temperature, and K is a positive constant.
To find the temperature of the object at any time, we need to solve this differential equation. First, we can separate the variables by dividing both sides by (u-T), which gives us du/(u-T) = -K dt. Integrating both sides, we get ln|u-T| = -Kt + C, where C is a constant of integration. Exponentiating both sides, we get u-T = e^(-Kt+C), or u(t) = T + Ce^(-Kt).
To find the value of the constant C, we use the initial condition u(0) = u_0. Plugging in t=0 and u(0) = u_0 into the equation above, we get u_0 = T + C. Solving for C, we get C = u_0 - T. Substituting this value of C into the equation for u(t), we get u(t) = T + (u_0 - T)e^(-Kt).
Therefore, the temperature of the object at any time t is given by u(t) = T + (u_0 - T)e^(-Kt).
According to Newton's law of cooling, the temperature u(t) of an object can be determined using the differential equation du/dt = -K(u - T), where T is the constant ambient temperature, and K is a positive constant. To find the temperature of the object at any time, given the initial temperature u(0) = u_0, we need to solve this differential equation.
Step 1: Separate the variables by dividing both sides by (u - T) and multiplying both sides by dt:
(1/(u - T)) du = -K dt
Step 2: Integrate both sides with respect to their respective variables:
∫(1/(u - T)) du = ∫-K dt
Step 3: Evaluate the integrals:
ln|u - T| = -Kt + C, where C is the constant of integration.
Step 4: Take the exponent of both sides to eliminate the natural logarithm:
u - T = e^(-Kt + C)
Step 5: Rearrange the equation to isolate u:
u(t) = T + e^(-Kt + C)
Step 6: Use the initial condition u(0) = u_0 to find the constant C:
u_0 = T + e^(C), so e^C = u_0 - T
Step 7: Substitute the value of e^C back into the equation for u(t):
u(t) = T + (u_0 - T)e^(-Kt)
This equation gives the temperature of the object at any time t, taking into account Newton's law of cooling, the ambient temperature T, and the initial temperature u_0.
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Thus, the equation that gives the temperature of the object at any time t, considering the initial temperature u_0 and the ambient temperature T is u(t) = T + (u_0 - T)e^(-Kt).
According to Newton's law of cooling, the temperature u(t) of an object satisfies the differential equation du/dt = -K(u - T), where T is the constant ambient temperature and K is a positive constant.
Given the initial temperature u(0) = u_0, we can solve this differential equation to find the temperature of the object at any time.
To solve the differential equation, we can use separation of variables:
1/(u - T) du = -K dt
Integrate both sides:
∫(1/(u - T)) du = ∫(-K) dt
ln|u - T| = -Kt + C (where C is the integration constant)
Now, we can solve for u(t):
u - T = Ce^(-Kt)
To find the constant C, we use the initial condition u(0) = u_0:
u_0 - T = Ce^(-K*0)
u_0 - T = C
So, our temperature function is:
u(t) = T + (u_0 - T)e^(-Kt)
This equation gives the temperature of the object at any time t, considering the initial temperature u_0 and the ambient temperature T.
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6. Each of the students below made a statement about the equation, 3x - 18 = 27. Which student(s) made a true statement?
HANNAH The first step is to subtract 18 from both sides.
AIYA To solve, add 18 to both sides and then divide by 3.
ROMEO The solution is x = 15 because 3(15) - 18 = 27.
Answer:
AIYA To solve, add 18 to both sides and then divide by 3.
ROMEO The solution is x = 15 because 3(15) - 18 = 27
Step-by-step explanation:
See the attached picture to understand better
find the nth term of this quadratic sequence
3, 8, 15, 24, 35...
Answer:
5n - 2
Step-by-step explanation:
8 subract 3 is 5
5 minus 3 is 2
5n - 2
On a certain standardized test used for college entrance purposes, the mean score was 21 and the standard deviation was 5. The distribution was approximately normal. Carlos scored 31, two standard deviations above the mean. A total of 1.5 million people across the country took the test at the same time as Carlos. How many people had scores lower than Carlos?
a. 1,465,500 people
b. 977,000 people
c. 204,000 people
Answer:
A
Step-by-step explanation:
Carlos' score was 2 standard deviations from the mean, so his z-score was 2.0. You can either use the empirical 68-95-98.5 rule, or you can plug it into your calculator as normalcdf(-999, 2) = .977
So 97.7% of people had a score lower than Carlos!
.977 * 1.5 million = 1,465,500 people
You deposit $300 in an account that earns simple interest at an annual rate of 6.5%.
If no other deposits or withdrawals were made, what is the total amount of money in the account at the end of 8 years?
The total amount in the account is What?
To find the total amount of money in the account at the end of 8 years with simple interest , we can use the formula:
A = P * (1 + r * t
where A = total amount P = principal (initial amount) r = interest rate per year (as a decimal) t = time (in years)
In this case, P = $300 r = 6.5% = 0.065 t = 8 years
Substituting these values in the formula:
A = $300 * (1 + 0.065 * 8) A = $300 * 1.52 A = $456
Therefore, the total amount of money in the account at the end of 8 years is $456 with simple interest.
Note that this assumes that the interest is compounded annually , and that there are no other deposits or withdrawals made during the 8-year period. If the interest is compounded more frequently, or if there are additional deposits or withdrawals, the calculation would be different.