Find q, using the cosine rule
\(\begin{gathered} q^2=r^2+p^2-2pr\cos Q \\ \end{gathered}\)\(\begin{gathered} q^2=17^2+56^2-2\times56\times17\cos 110^{\circ} \\ q^2=289+3136-1904\times-0.34202014332 \\ q^2=3425+651.206352892 \\ q^2=4076.20635289 \\ q=\sqrt[]{}4076.20635289 \\ q=63.8451748599 \\ q=63.8 \end{gathered}\)A 360
B180
C90
D540
Please help
Answer:
its 360°
Step-by-step explanation:
The sum of the exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle in a regular polygon is: 360 number of sides.
On the Navajo Reservation, a random sample of 218 permanent dwellings in the Fort Defiance region showed that 60 were traditional Navajo hogans. In the Indian Wells region, a random sample of 139 permanent dwellings showed that 19 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region.
(a) Find a 95% confidence interval for p1 – p2. (Use 3 decimal places.)
lower limit
upper limit
(b) Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive? all negative? mixed? What if it is hypothesized that Navajo who follow the traditional culture of their people tend to occupy hogans? Comment on the confidence interval for p1 – p2 in this context.
Because the interval contains only positive numbers, we can say that there is a higher proportion of hogans in the Fort Defiance region.Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion of hogans in the Fort Defiance region. We can not make any conclusions using this confidence interval.Because the interval contains only negative numbers, we can say that there is a higher proportion of hogans in the Indian Wells region.
Answer:
Step-by-step explanation:
On the Navajo Reservation, a random sample of 218 permanent dwellings in the Fort Defiance region showed that 60 were traditional Navajo hogans. In the Indian Wells region, a random sample of 139 permanent dwellings showed that 19 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region.
(a) Find a 95% confidence interval for p1 – p2. (Use 3 decimal places.)
lower limit
upper limit
(b) Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive? all negative? mixed? What if it is hypothesized that Navajo who follow the traditional culture of their people tend to occupy hogans? Comment on the confidence interval for p1 – p2 in this context.
Because the interval contains only positive numbers, we can say that there is a higher proportion of hogans in the Fort Defiance region.Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion of hogans in the Fort Defiance region. We can not make any conclusions using this confidence interval.Because the interval contains only negative numbers, we can say that there is a higher proportion of hogans in the Indian Wells region.
I need help with this practice sheet
I'm confused with this
End behavior is when the graph goes left or right, does it go up or down.
In this graph, when it goes left it goes up, and when the graph goes right it goes down
as x => - infinity, f(x) => Infinity
as x => Infinity, f(x) => - infinity
The leading coefficient is negative.
The degree is even.
Help thank you………………
Answer:
it is too easy I will answer it soon.
Which equation does NOT represent a linear function? A. y = 5 B. 4 y = 2 x − 8 C. y = x + 2 x 2 D. y = − 2 3 x − 1
i need help
pls and thank you
i will give brainliest if correct
Answer:
The surface area of the net shown is: 88 \(in^2\)
Step-by-step explanation:
Break up the different shapes in the net:
Let's take the big square first:
It has a side of 5in and a base of 4in.
We multiply both these values to get 20\(in^2\)
Lets look at the small rectangular box now:
It has a side of 3in and a base of 4in.
We multiply both these values to get 12\(in^2\)
There are two big squares so we add up their surface areas:
20\(in^2\) + 20\(in^2\) = 40\(in^2\)
There are 4 small rectangular squares so we add up their surface areas:
12\(in^2\) + 12\(in^2\) + 12\(in^2\) + 12\(in^2\) = 48\(in^2\)
Now we add up the big square and small rectangular squares values:
40\(in^2\) + 48\(in^2\) = 88\(in^2\)
Therefore the answer is 88\(in^2\)
evaluate the fermi function for an energy KT above the fermi energy. find the temperature at which there is a 1% probability that a state,
Complete Question
Evaluate the Fermi function for an energy kT above the Fermi energy. Find the temperature at which there is a 1% probability that a state, with an energy 0.5 eV above the Fermi energy, will be occupied by an electron.
Answer:
a
The Fermi function for the energy KT is \(F(E_o) = 0.2689\)
b
The temperature is \(T_k = 1261 \ K\)
Step-by-step explanation:
From the question we are told that
The energy considered is \(E = 0.5 eV\)
Generally the Fermi function is mathematically represented as
\(F(E_o) = \frac{1}{e^{\frac{[E_o - E_F]}{KT} } + 1 }\)
Here K is the Boltzmann constant with value \(k = 1.380649 *10^{-23} J/K\)
\(E_F\) is the Fermi energy
\(E_o\) is the initial energy level which is mathematically represented as
\(E_o = E_F + KT\)
So
\(F(E_o) = \frac{1}{e^{\frac{[[E_F + KT] - E_F]}{KT} } + 1}\)
=> \(F(E_o) = \frac{1}{e^{\frac{KT}{KT} } + 1}\)
=> \(F(E_o) = \frac{1}{e^{ 1 } + 1}\)
=> \(F(E_o) = 0.2689\)
Generally the probability that a state, with an energy 0.5 eV above the Fermi energy, will be occupied by an electron is mathematically represented by the Fermi function as
\(F(E_k) = \frac{1}{e^{\frac{[E_k - E_F]}{KT_k} } + 1 } = 0.01\)
Here\(E_k\) is that energy level that is 0.5 ev above the Fermi energy \(E_k = 0.5 eV + E_F\)
=> \(F(E_k) = \frac{1}{e^{\frac{[[0.50 eV + E_F] - E_F]}{KT_k} } + 1 } = 0.01\)
=> \(\frac{1}{e^{\frac{0.50 eV ]}{KT_k} } + 1 } = 0.01\)
=> \(1 = 0.01 * e^{\frac{0.50 eV ]}{KT_k} } + 0.01\)
=> \(0.99 = 0.01 * e^{\frac{0.50 eV ]}{KT_k} }\)
=> \(e^{\frac{0.50 eV ]}{KT_k} } = 99\)
Taking natural log of both sides
=> \(\frac{0.50 eV }{KT_k} } =4.5951\)
=> \(0.50 eV =4.5951 * K * T_k\)
Note eV is electron volt and the equivalence in Joule is \(eV = 1.60 *10^{-19} \ J\)
So
\(0.50 * 1.60 *10^{-19 } =4.5951 * 1.380649 *10^{-23} * T_k\)
=> \(T_k = 1261 \ K\)
Help please!!!!!!!!!!!
Answer:
A fraction that is equivalent to 2/5 would be 4/10 or 20/50 (pick one).
Answer: 4/10
Step-by-step explanation:
i just x 2 and 5 by 2
help ngnfkxkdkmdfmkdkfkfmmfkfkdjx
9514 1404 393
Answer:
A: 8x +24
B: not equivalent for any value of x
Step-by-step explanation:
Part A:
The factor of 4 on the outside of parentheses multiplies each term inside:
M = 4(2x) +4(6)
M = 8x +24 . . . . . expression equivalent to M
__
Part B:
Expressions M and N are not equivalent for any value of x. They are equivalent if their difference is zero or can be made to be zero. Subtracting N from M, we find the difference to be ...
M -N = (8x +24) -(8x +10) = 14
There is no value of x that will make the difference of 14 become zero.
the 7th-grade class wants to collect empty soda pop cans to earn $50.00. If pop cans earn $0.25 per pound how many cans will they need to collect to earn the $50.00?
200 pounds need to collect to earn the $50.00. Divide the cost per pound from the total amount needed, \(\frac{50.00}{0.25}\)= 200 pounds.
Is the British pound?The official money of the U.k. and its regions is the GBP, or British pound sterling. The Pound is the earliest currency that is still accepted as legal tender in the entire world. The GBP, represented by pound sign (£), has one of the greatest trade volumes worldwide.
What makes something a "pound"?The development of the pounds sterling -The Latin word "libra," which means balance and weight, is where the name "pound sterling" comes from. During the years, the pound banknotes underwent various revisions before being initially printed by the Bank of England and over 300 years ago.
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BBQ chicken is on sale for
$5 for 4 pounds. How
much would it cost for 7
pounds?
Answer:
$5.60 for 7 pounds
Answer:
$8.75Step-by-step explanation:
Cost of 1 pound:
$5/4 = $1.25Cost of 7 pounds:
$1.25*7 = $8.75The domain of this emath equation is
Answer:
x ≥ 5
Step-by-step explanation:
You want the domain of the equation y = √(x -5) -1.
DomainThe domain of the function is the set of x-values for which it is defined. The square root is not defined for negative values, so the domain is ...
x -5 ≥ 0
x ≥ 5 . . . . . . the domain of this function
__
Additional comment
The range is the set of y-values the function may produce. Here, that set of values is y ≥ -1.
<95141404393>
Thirty-two is equivalent to twice the value of b and then increased by eight. What is the value of b?
Answer:
I think its eight
Step-by-step explanation:
8 x 2 = 16 + 8 = 32
Answer:
b= 24
Step-by-step explanation:
They want you to find half of 32 and then add 8.
32÷2= 16
16+8=24
every us state has 2 senators (there are 50 states). if there are 500 members in congress, what percent of the congress is made up of senators?
Answer:
20% of the Congress is made of Senators.
Step-by-step explanation:
Our whole here is 500, since the House of Representatives and Senate combined would have 500 members in this case. So, we now need to find out how many senators there are.
\(2\) x \(50\) = \(100\)
Now, since we know the fact that there are 100 senators in Congress, we will find out what percent of 500 is 100.
100 = 20% of 500. To check, we will multiply 5 by 100. We get 500.
Therefore, the answer is 20%.
A simple random sample of 100 observations was taken from a large population the sample mean and the standard deviation were determined to be 80 and 12 respectively. The standard error of the mean is 0.12
A. True
B. False
Answer:
A. True.
Step-by-step explanation:
To get the standard error of the mean, you need to do the sample standard deviation over the square root of the number of samples, n.
In this case, n = 100. The standard deviation is 12. To get the SAMPLE standard deviation, you do the population standard deviation over the square root of n. That is 12 / sqrt(100) = 12 / 10 = 1.2.
So, to get the standard error: 1.2 / sqrt(100) = 1.2 / 10 = 0.12.
The standard error of the mean is, indeed, 0.12, so the statement is A. True.
Hope this helps!
Find the scale factor
(-3,-12)--->(-2,-8)
(-6,-15)--->(-4,-10)
(-9,-12)--->(-6,-8)
Answer:
2/3 is the scale factor of the sequence
Find the output, y, when the input, x, is -9.
y =
Answer:
when x=-9, y=1
Step-by-step explanation:
the graph shows when the x is at -9, the y is at 1
PLS HELP ME !!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
All sides make a cube
Answer:
D
Step-by-step explanation:
What irrational number
could ADD to make the
answer rational?
√5 +____ = ______
\(\sqrt{5} +1-\sqrt{5} =1\).
Step-by-step explanation:First, let's define an irratinal number. Irrational numbers are all numbers that can't be expressed as the fraction of 2 integers.
1. Form an equation.Let's make the result be 1, for this, we form the following equation:
\(\sqrt{5} +x=1\)
2. Solve equation.\(x=1-\sqrt{5}\)
3. Test the value on the initial expression.\(\sqrt{5} +(1-\sqrt{5} )=\\ \\\sqrt{5} +1-\sqrt{5} =\\ \\1\)
4. Write the full expression.\(\sqrt{5} +1-\sqrt{5} =1\).
A triangle has two sides of lengths 4 and 15. What value could the length of
the third side be? Check all that apply.
A. 19
B. 11
C. 4
OD. 15
OE. 12
F. 13
The value could the length of the third side will be 11,12,13,15. Options B, D, E, and F are the correct answers.
What is the triangle?A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
According to the triangle Inequality theorem, any two triangle sides must add up to more than the third side's length.
You may get the potential length of a triangle by multiplying the sum of two sides by the difference between two sides.
Therefore,
Let x is the possible length of the third side of a triangle.
14-4<x<15+4
10<x<19
The values of the third side is lies between the 10 and 19.The value could the length of the third side will be 11,12,13,15
Hence, options B, D, E, and F are the correct answers.
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on tuesday a local a hamburger shop sold a combined total of 448 hamburgers and cheeseburgers , the number of cheeseburgers sold was three times the number of hamburgers sold how many hamburgers were sold on tuesday ?
A coffee shop sells their coffee beans by the pound. The table below shows the cost, in dollars, for a pound of two different types of beans.
Answer:
23.6
Step-by-step explanation:
Find the value of X.
Answer:
x = 36
Step-by-step explanation:
Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.
RelationThe product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.
24² = 12(12 +x)
2·24 = 12 +x . . . . . . . divide by 12
36 = x . . . . . . . . . subtract 12
<95141404393>
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
The scale of a model train is 1 Inch to 14 feet. One section of the model train is 32 inches long. What is the length, in feet, of the real life version of the section of train cars?
Answer:
5⋅13.5=67.5
so its 67.5
Step-by-step explanation:
30 POINTS PLEASE help
Answer:
m= -1/7
b=2
Step-by-step explanation:
If LN=3+8x, find LN
L•——–8•——M——6x-1——–•N
Answer:
Value of LN = 19 units
Step-by-step explanation:
Given:
LN = 3 + 8x
Find:
Value of LN
Computation:
We know that LM + MN = LN
So,
8 + 6x - 1 = LN
So,
3 + 8x = 8 + 6x - 1
3 + 8x = 7 + 6x
8x - 6x = 7 - 3
2x = 4
x = 2
So,
LN = 3 + 8x
LN = 3 + 8(2)
LN = 3 + 16
LN = 19
Value of LN = 19 units
PLEAE HELP IF YOU'RE GOOD WITH GENETICS OR PROBABILITY
Answer:
B 4:4
Step-by-step explanation:
look at pic
256-x²/4
factorise in process
Answer:
\(16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})\)
Step-by-step explanation:
The given expression is : \(256-\dfrac{x^2}{4}\).
We need to factorize it.
We know that, 16² = 256
So,
\(256-\dfrac{x^2}{4}=(16)^2-(\dfrac{x}{2})^2\)
We know that, \(a^2-b^2=(a-b)(a+b)\)
\(16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})\)
Hence, this is the required solution.