9514 1404 393
Answer:
5 cm
Step-by-step explanation:
The given arcs have the ratio ...
BRA : BSA = (3/2) : 1 = 3 : 2
Then BRA is 3/(3+2) = 0.6 of the total circumference of the circle.
0.6(2πr) = 6π . . . . . BRA is 6π long
r = 6π/(1.2π) . . . . . . divide by the coefficient of r
r = 5 . . . . centimeters
i’m confused and need help fast please.
Answer:
C) 48.3
Step-by-step explanation:
The lines are parallel, meaning that when the third line is intersecting them both, the angles formed will be exactly the same. The top angle that is to the right is 25°, meaning that he bottom angle to the left is 25°. All that is left is to find the last two angles in order to find out what the answer to the equation is. The 25° angle is next to a triangle causing the lines to be flat, or 180°.
180 - 25 = 155
That means the bottom angle to the right is 155. In order to find x, subtract 10 and divide by 3.
3x + 10 - 10 = 155 - 10
3x = 135
3x/3 = 135/3
x = 48.3
How many permutations are there of the letters in the following word, if all the letters are used without repetition?
ADMIRES
Give the answer using permutation notation, factorial notation, or other operations. Then evaluate.
ADMIRES is the word
Answer:
5040 permutations
Step-by-step explanation:
Hey!
Please only answer if you know the answer, the comment section is right below. Please don't waste my points!
Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.
The image is down below. Show work! Thanks!
Answer:
B. 8/17Step-by-step explanation:
cos = adjacent / hypotenuse
cos C = 16/34 = 8/17Correct choice is B
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? a. More than 59 pounds b. More than 56 pounds c. Between 56 and 57 pounds d. Less than 53 pounds e. Less than 49 pounds *Round the values of z to 2 decimal places. Round your answer to 4 decimal places, the tolerance is +/-0.0001. **Round the values of z to 2 decimal places. Round your answer to 4 decimal places. a. * b. * c. * d. * e. **
Answer:
a. 0.1038 = 10.38% probability that the sample mean is more than 59 pounds.
b. 0.6772 = 67.72% probability that the sample mean is more than 56 pounds.
c. 0.2210 = 22.10% probability that the sample mean is between 56 and 57 pounds.
d. 0.0146 = 1.46% probability that the sample mean is less than 53 pounds.
e. 0% probability that the sample mean is less than 49 pounds.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. The population standard deviation of annual usage is 12.3 pounds.
This means that [tex]\mu = 56.8, \sigma = 12.3[/tex]
Sample of 50:
This means that [tex]n = 50, s = \frac{12.3}{\sqrt{50}} = 1.74[/tex]
a. More than 59 pounds
This is 1 subtracted by the pvalue of Z when X = 59.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{59 - 56.8}{1.74}[/tex]
[tex]Z = 1.26[/tex]
[tex]Z = 1.26[/tex] has a pvalue of 0.8962
1 - 0.8962 = 0.1038
0.1038 = 10.38% probability that the sample mean is more than 59 pounds.
b. More than 56 pounds
This is 1 subtracted by the pvalue of Z when X = 56. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{56 - 56.8}{1.74}[/tex]
[tex]Z = -0.46[/tex]
[tex]Z = -0.46[/tex] has a pvalue of 0.3228
1 - 0.3228 = 0.6772
0.6772 = 67.72% probability that the sample mean is more than 56 pounds.
c. Between 56 and 57 pounds
This is the pvalue of Z when X = 57 subtracted by the pvalue of Z when X = 56.
X = 57
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{57 - 56.8}{1.74}[/tex]
[tex]Z = 0.11[/tex]
[tex]Z = 0.11[/tex] has a pvalue of 0.5438
X = 56
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{56 - 56.8}{1.74}[/tex]
[tex]Z = -0.46[/tex]
[tex]Z = -0.46[/tex] has a pvalue of 0.3228
0.5438 - 0.3228 = 0.2210
0.2210 = 22.10% probability that the sample mean is between 56 and 57 pounds.
d. Less than 53 pounds
This is the pvalue of Z when X = 53.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{53 - 56.8}{1.74}[/tex]
[tex]Z = -2.18[/tex]
[tex]Z = -2.18[/tex] has a pvalue of 0.0146
0.0146 = 1.46% probability that the sample mean is less than 53 pounds.
e. Less than 49 pounds
This is the pvalue of Z when X = 49.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{49 - 56.8}{1.74}[/tex]
[tex]Z = -4.48[/tex]
[tex]Z = -4.48[/tex] has a pvalue of 0
0% probability that the sample mean is less than 49 pounds.
a warehouse received a shipment of 700 cartons of raspberries, 900 cartons of blueberries, and 1200 cartons of strawberries. If the produce manager wants to check the quality of the fruit which method would yield the best results?
Answer:
2,800
Step-by-step explanation:
700+900+1200=2800
What is the difference of (5 + 3i) and (2 + 9i)?
A. 7 + 12i
B. 3 + 6i
C. 3 − 6i
D. 7 + 6i
The difference of the two complex numbers (5 + 3i) and (2 + 9i) is; 3 - 6i.
What is the difference of the two complex numbers (5 + 3i) and (2 + 9i)?It follows from the task content that the two difference of the two complex numbers (5 + 3i) and (2 + 9i) be determined.
Since the numbers given are; (5 + 3i) and (2 + 9i).
The difference can be mathematically as follows;
( 5 + 3i ) - ( 2 + 9i )
By the Distributive property; we have;
5 + 3i - 2 - 9i
Collect like terms so that we have;
= 5 - 2 + 3i - 9i
= 3 - 6i
On this note, the difference between the two complex numbers is; 3 - 6i.
Read more on subtraction of complex numbers;
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(a) Show that a differentiable function f decreases most rapidly at x in the direction opposite the gradient vector, that is, in the direction of −∇f(x). Let θ be the angle between ∇f(x) and unit vector u. Then Du f = |∇f| cos θ _________ . Since the minimum value of cos θ _________ is -1 ________ occurring, for 0 ≤ θ < 2π, when θ = ________ , the minimum value of Du f is −|∇f|, occurring when the direction of u is the opposite of _______ the direction of ∇f (assuming ∇f is not zero). (b) Use the result of part (a) to find the direction in which the function f(x, y) = x4y − x2y3 decreases fastest at the point (2, −5)._________
Answer:
Step-by-step explanation:
[tex]\text{Show that a differentiable function f decreases most rapidly at x in the }[/tex]
[tex]\text{direction opposite the gradient vector, that is, in the direction of}[/tex] [tex]-\bigtriangledown f(x)[/tex][tex]\text{. Let}\ \theta \ \text{be the angle between} \bigtriangledown f(x) \ \text{and unit vector u. Then } D_u f = \mathbf{|\bigtriangledown f| \ cos \ \theta }}[/tex]
[tex]\text{Since the minimum value of} \ \ \mathbf{cos \ \theta} \ \ is \mathbf{-1} \ \text{occuring \ for \ 0} \le \ \theta \ < 2x, \\ \\ when \ \theta = \mathbf{\pi} , \text{the mnimum value of} \ D_uf \ is} -|\bigtriangledown f|, \text{occuring when the direction of u is } \\ \\ \ \mathbf{the \ opposite \ of} \ \text{the direction of } \ \bigtriangledown f (assuming \ \bigtriangledown f\ is \ not \ zero)[/tex]
b) [tex]\text{From part A:}[/tex]
[tex]If \ f(x,y) = x^4y -x^2y^2 \ \ decreases \ fastest \ at \ the \point \ (2,-5)\\ \\ F(x,y) = x^4y -x^2y^3 \\ \\ f_x = \dfrac{df}{dx}= \dfrac{d}{dx}(x^4y-x^2y^3) \\ \\ f_x = \dfrac{df}{dx}= y4x^3 -2y^3x \\ \\ For(2,-5) \\ \\ f_x = (-5)4(2)^3 -2(-5)^3(2) \\ \\ \mathbf{ f_x = 340}[/tex]
[tex]However; f_y = \dfrac{df}{dy} = \dfrac{d}{dy}(x^4y - x^2y^3) \\ \\ f_y = x^4 -3x^2y^2 \\ \\ Now, for (2, -5)\\ \\f_y = (2)^4 -3(2)^2(-5)^2 \\ \\ f_y = -284[/tex]
[tex]So; \bigtriangledown = < 340,-284> \text{this is the direction of fastest decrease}[/tex]
Caleb is comparing the growth of plants using two different fertilizers.
Answer:
Kindly check explanation
Step-by-step explanation:
From the box plot given for the two different groups.
Group A fertilizer has a median value of about 3. The first quartile value (Q1) is 2 and the third quartile (Q3) value is about 3.5.
Group B gertizer has a median value of 3.5, with the first and third quartile measuring about 2.5 and 4.5 respectively.
The variability of the data can be measured using the range :
Group A data has :
Maximum value of 4
Minimum value of 1.5
Range = maximum - minimum ; 4 - 1.5 = 2.5
Group B data has :
Maximum value of 5
Minimum value of 2
Range = maximum - minimum = 5 - 2 = 3
Which parametric equations represent y = x + 2? Check all that apply.
Answer:
The correct choices are the first, second, and fifth options.
Step-by-step explanation:
Edge 2021
Answer:
a,b and e
Step-by-step explanation:
on edg 2021
In AMNO, m = 56 cm, n = 19 cm and o=57 cm. Find the measure of Zo to the nearest
10th of a degree.
Answer:83.3∘
Step-by-step explanation:
The measure of angle O from the triangle MNO is 156.92°.
What is cosine rule?In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
The formula for the cosine rule is c=√(a²+b²-2ab cosC)
here, we have,
Given that,
in triangle MNO,
m = 720 cm, n = 160 cm and o=870 cm.
Now, 870=√(720²+160²-2×720×160 cosO)
870²=720²+160²-2×720×160 cosO
756900=544000-230400 cosO
212900=-230400 cosO
cosO= -212900/230400
cosO= -0.92
∠O=156.92°
Therefore, the measure of angle O from the triangle MNO is 156.92°.
Learn more about the cosine rule here:
brainly.com/question/26952873.
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A student earned a grade of 80% on a math test that had 35 problems. How
many problems on this test did the student get correct?
Round your answer to the nearest whole.
Answer:
28
Step-by-step explanation:
Answer:
The student got 28 questions correct and 7 wrong.
WHAT IS X ? PLEASE HELP
Answer:
x = 44
Step-by-step explanation:
x + x + 14 + 2x - 10 = 180
4x + 4 = 180
4x = 180 - 4
4x = 176
x = 176 / 4
x = 44
Hope that helps!
9+6+4+4+4+4+4+4+44+444+44444+444+4+4+4+4+4+4+4+44+44+4=?
Answer:
45535
Step-by-step explanation:
Answer:
45415
Step-by-step explanation:
Please help giving brainliest
Find Sin L=
Will mark as brainliest
Answer:
[tex]\Huge\boxed{\frac{3}{5}}[/tex]
Step-by-step explanation:
The trigonometric ratio for sine is
sin = opposite over hypotenuse
the opposite side length of L is 6 and the hypotenuse is 10
so sin L = 6 over 10
then we simplify
6/2 = 3
10/2=5
the answer would be 3/5
3. A researcher randomly selects a sample of 61 former student leaders from a list of graduates of UNCG who had participated in leadership positions while a student. She discovered that it has taken an average of 4.97 years for these student leader graduates to finish their degrees, with a standard deviation of 1.23. The average for the entire student body is 4.56 years. Is the difference between student leaders and the entire student population statistically significant at the alpha
Answer:
not statistically significant at ∝ = 0.05
Step-by-step explanation:
Sample size( n ) = 61
Average for student leader graduates to finish degree ( x') = 4.97 years
std = 1.23
Average for student body = 4.56 years
Determine if the difference between the student leaders and the entire student population is statistically significant at alpha
H0( null hypothesis ) : u = 4.56
Ha : u ≠ 4.56
using test statistic
test statistic ; t = ( x' - u ) / std√ n
= ( 4.97 - 4.56 ) / 1.23 √ 61
= 2.60
let ∝ = 0.05 , critical value = -2.60 + 2.60
Hence we wont fail to accept H0
This shows that the difference between the student leaders and the entire student population is not statistically significant at ∝ = 0.05
What are the coordinates of the x-intercept of the line 2x-y=6
PLEASEEE HELP I WILL MARK YOU BRAINIEST
Answer:
12a
3/4
34.8
a = 3.2
Step-by-step explanation:
9a + 6 = 34.8
9a = 28.8
28.8/9 = 3.2
HOW DO I SLOVE THIS MATH PROBLEM!!! I need an explanation
Answer:
441 π ft²
Step-by-step explanation:
If you mean volume, this is how it is:
v = πr² × h = π × 7² × 9 = 441π ≈ 1323 ft²
PLZ HELP !!!!!!!Solve for the value of x and y
68
(4x - 2)
30
Answer: 10
Step-by-step explanation:
Simplifying
68 = 4x + -2 + 30
Reorder the terms:
68 = -2 + 30 + 4x
Combine like terms: -2 + 30 = 28
68 = 28 + 4x
Solving
68 = 28 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
68 + -4x = 28 + 4x + -4x
Combine like terms: 4x + -4x = 0
68 + -4x = 28 + 0
68 + -4x = 28
Add '-68' to each side of the equation.
68 + -68 + -4x = 28 + -68
Combine like terms: 68 + -68 = 0
0 + -4x = 28 + -68
-4x = 28 + -68
Combine like terms: 28 + -68 = -40
-4x = -40
Divide each side by '-4'.
x = 10
Simplifying
x = 10
Answer:
x = 10, y = 112
Step-by-step explanation:
4x - 2 + 30 and 68 are vertical angles and are congruent , then
4x - 2 + 30 = 68
4x + 28 = 68 ( subtract 28 from both sides )
4x = 40 ( divide both sides by 4 )
x = 10
------------------------
y and 68 lie on a straight line and sum to 180° , then
y + 68 = 180 ( subtract 68 from both sides )
y = 112
Using the coordinate plane shown below, a third point is plotted 5 units to the right of (-4, 4). Where should a fourth point be plotted in order to create a rectangle?
(1, -4)
(1, 4)
(4, -1)
(-4, 1)
Answer:The answer is (1,-4).
Step-by-step explanation: Please mark this brainliest.
I NEED HELP FAST! Which of the following sets of numbers could not represent the three sides of a triangle?
Answer:
15 27 44
Step-by-step explanation the two smaller numbers combined has to be bigger than the other number.
PLEASE PLEASE!! HELP
93 POINTS
Answer:
a) -150 feet per minute
b)-11,250 feet
c)240 minutes
Step-by-step explanation:
-3000/20 = -150 ft per minute
b) -150 times 75
c)-36000= -150x
5.
The Luxor Hotel in Las Vegas, Nevada,
is shaped like a square pyramid whose
surface is covered in dark glass. The
sides of the building are 606 feet in
length. The slant height of the building
is 463 feet. Find the lateral surface area
to determine the square feet of glass
needed to cover the surface of the Luxor
Hotel.
Answer:
= 869,516 sq feet
i think will you mark me brainlest
=))
Step-by-step explanation:
answer pls ty ill give brainliest
Answer:
2.5
Step-by-step explanation:
Answer:
2.5 im not sure ThanksStep-by-step explanation:
Im not sure
The length off a swimming pool cover is (2x+1), the width is (x+8). Find the area of the swimming pool as a polynomial in standard form
Someone please help me
Answer: the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius
Answer:
its false
Step-by-step explanation: i am 100% sure
Mary wrote the division equation shown below.
2÷16=12
Which multiplication equation can Mary use to check if her answer is correct?
If closing costs of $1,900 are associated with the refinance of a mortgage that would reduce the monthly payment from $1,140 to $1,072 refinance, it would take approximately ____ months to cover these costs. (Round your answer to the nearest full month.)
Answer:
28 Months
Step-by-step explanation:
(1140-1072)= 68
(1900/68)=27.9 ~ 28
Pls help!! I’ve been trining to get the answer but I can’t pls help!!
Answer:
$5740
Step-by-step explanation:
get 2.5% of 5600
5600/x=100/2.5
(5600/x)*x=(100/2.5)*x
5600=40*x
5600/40=x
140=x
x=140 <----- 2.5% of 5600
5600 + 140 = $5740