Order the set of numbers from LEAST to GREATEST.
5.72 × 103, 8.12 × 102, 6.1 × 103, 9.11 × 102

A) 5.72 × 103, 6.1 × 103, 9.11 × 102, 8.12 × 102
B) 5.72 × 103, 6.1 × 103, 8.12 × 102, 9.11 × 102
C) 8.12 × 102, 9.11 × 102, 5.72 × 103, 6.1 × 103
D) 9.11 × 102, 8.12 × 102, 5.72 × 103, 6.1 × 103

Answers

Answer 1

B) 5.72 × 103, 6.1 × 103, 8.12 × 102, 9.11 × 102

Answer 2

Answer:

b

Step-by-step explanation: took test


Related Questions

Pls help!! I’ve been trining to get the answer but I can’t pls help!!

Answers

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

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.)

Answers

Answer:

28 Months

Step-by-step explanation:

(1140-1072)= 68

(1900/68)=27.9 ~ 28

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

Answers

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

(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)._________

Answers

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]

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. **

Answers

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.

Please help giving brainliest

Answers

A .
Hopes it help .......
A, they are two times more likely to buy vanilla than chocolate
Hope this helps!

Caleb is comparing the growth of plants using two different fertilizers.

Answers

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

WHAT IS X ? PLEASE HELP

Answers

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!

Mary wrote the division equation shown below.


2÷16=12



Which multiplication equation can Mary use to check if her answer is correct?

Answers

2x12=
her answer is incorrect


Tim bought 4 packs of football cards for $3.97 each, and a deck of
Digimon cards for $6.11. How much did Tim spend on cards?

Answers

Answer: $21.99

Step-by-step explanation:

First, we need to solve for the total cost of 4 packs of football cards

We can either do: $3.97+$3.97+$3.97+$3.97

or

$3.97 x 4

This will equal: $15.88

Now we need to add $6.11 to $15.88

$6.11+$15.88

$21.99

I NEED HELP FAST! Which of the following sets of numbers could not represent the three sides of a triangle?

Answers

Answer:

15 27 44

Step-by-step explanation the two smaller numbers combined has to be bigger than the other number.

i’m confused and need help fast please.

Answers

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

Answers

Answer:

5040 permutations

Step-by-step explanation:

HOW DO I SLOVE THIS MATH PROBLEM!!! I need an explanation

Answers

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

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.

Answers

Answer:

= 869,516 sq feet

i think will you mark me brainlest

=))

Step-by-step explanation:

PLEASEEE HELP I WILL MARK YOU BRAINIEST

Answers

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

PLEASE PLEASE!! HELP

93 POINTS

Answers

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

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!

Answers

Answer:

B. 8/17

Step-by-step explanation:

cos = adjacent / hypotenuse

cos C = 16/34 = 8/17

Correct choice is B

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.

Answers

Answer:

28

Step-by-step explanation:

Answer:

The student got 28 questions correct and 7 wrong.

PLZ HELP !!!!!!!Solve for the value of x and y
68
(4x - 2)
30

Answers

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

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

Answers

The area of the pool is equal to the length times the width. Substitute the given values to create a polynomial. Then, either distribute or use a value table to multiply the terms. Then, simplify like terms and place the terms in the order of standard form. (2x^2+17x+8)

In AMNO, m = 56 cm, n = 19 cm and o=57 cm. Find the measure of Zo to the nearest
10th of a degree.

Answers

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.

#SPJ7

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)

Answers

The answer is (1, -4)

Answer:The answer is (1,-4).

Step-by-step explanation: Please mark this brainliest.

-179=-9-10m can anyone solve this?
immediately​

Answers

Answer:

m=17

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

m

=

17

M=17

10m=9+179
10m=170
M=17

Evaluate the expression x (3) – (3 + x)2 for x = 4.

Answers

Answer:

if x=4, the answer is -2.

Step-by-step explanation:

4x3-(3+4)2

12-7x2

12-14

= -2

i hope this helps :)

Someone please help me

Answers

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

What are the coordinates of the x-intercept of the line 2x-y=6

Answers

2x-y=6

When at x intercept the y coordinate =0
So sub 0 in for y

2x-y=6
2x-(0)=6
2x=6
x=3

So coordinates for x intercept is
(3,0)

answer pls ty ill give brainliest

Answers

Answer:

2.5

Step-by-step explanation:

Answer:

2.5 im not sure Thanks

Step-by-step explanation:

Im not sure

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?​

Answers

1200 + 900 + 700 = 2,800

Answer:

2,800

Step-by-step explanation:

700+900+1200=2800

9+6+4+4+4+4+4+4+44+444+44444+444+4+4+4+4+4+4+4+44+44+4=?

Answers

Answer:

45535

Step-by-step explanation:

Answer:

45415

Step-by-step explanation:

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