Find the product
0.037 · 0.26

The correct answer is $34900.

X : Average amount of loan of student debt by state .

X = N ( μ = $28500 , σ² = ( 3200 )² )

To find : What is the cutoff point that would place a state in top 2.5%

Let it be X

P( X > x ) = 0.025

P(X-μ/σ > X - 28500/3200) = 0.025

P(z >Z ) = 0.025

1 - P(z<Z ) = 0.025

P(z<Z ) = 0.975

φ(z) = 0.975

Z = φ⁻¹(0.975)

X - 28500/3200 = 1.96

X = 34772

i.e; P(X > 34772) = 0.025

Since, it is nearly equal to $34900 option b is correct.

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The correct option regarding the number of bags filled by Nina, using proportions, is given as follows:

Between 20 and 30 bags.

A proportion is a fraction of an amount, and this fraction is combined with the unit rates of the problem and basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of the problem.

In this problem, a proportion is applied to find the number of bags filled by Nina, which is given by the division presented as follows:

Number of bags = Number of treats / Treats per bag.

The values of these parameters are given as follows:

Hence the numeric value of the expression is:

Number of bags = 78/3 = 26.

Which is a number between 20 and 30.

The problem states that Nina had 78 treats, and each bag has 3 treats, then it asks the correct option regarding the number of bags.

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Answer:

pretty sure its the first one

Step-by-step explanation:

Answer:

x<6

Step-by-step explanation:

its an open dot. this means 6 isn't part of the inequality.

Answer:

1) 91

Step-by-step explanation:

28 + 63 = 91

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Answer: No because that is not always true.

Explanation:

I hope this helped!

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Answer:

\(y=-67.5[cos(\frac{\pi}{15}t)-1]\)

Step-by-step explanation:

We can start solving this problem by doing a drawing of London Eye. (See attached picture).

From the picture, we can see that the tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:

\(y=-Acos(\omega t)+b\)

where:

A=amplitude

\(\omega\) = angular speed.

t= time (in minutes)

b= vertical shift.

In this case:

A= radius = 67.5 m

\(\omega=2\pi f\)

where the frequency is the number of revolutions it takes every minute, in this case:

\(f=\frac{1}{30} rev/min\)

so:

\(\omega=2\pi (\frac{1}{30})\)

\(\omega=\frac{\pi}{15} rad/min \)

and

b= radius, so

b=A

b=67.5m

so we can now build our equation:

\(y=-67.5cos(\frac{\pi}{15} t)+67.5\)

which can be factored to:

\(y=-67.5[cos(\frac{\pi}{15}t)-1]\)

You can see a graph of what the function looks like in the end on the attached picture.

The required sinusoidal equation is  \(y = -67.5 (cos\dfrac{\pi t}{15} -1)\)

Given that,

It has a diameter of 135 meters and makes one revolution (counterclockwise) every 30 minutes.

It is constructed so that the lowest part of the Eye reaches ground level, enabling passengers to simply walk on to, and off of, the ride.

We have to find,

A sinusoidal  which models the height h of the passenger above the ground in meters t minutes after they board the Eye at ground level.

According to the question,

The tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:

\(y = -Acos(wt) + b\)

Where,  A=amplitude ,  \(\omega\) = angular speed, t= time (in minutes) , b= vertical shift.

Then,

\(Radius = \dfrac{diameter}{2}\\\\Radius = \dfrac{135}{2}\\\\Radius = 65.5m\)

The frequency is the number of revolutions it takes every minute is determined by the formula is,

\(\omega = 2\pi f\)

Where,

\(f = \dfrac{1}{30} revolution \ per \ minute\)

Then,

\(\omega = 2\pi \times \dfrac{1}{30}\\\\\omega = \dfrac{\pi }{15}\ radian \ per\ minute\)

Here, The sinusoidal equation can be written as;

\(y = -67.5cos\dfrac{\pi t}{15} + 67.5\\\\y = -67.5 (cos\dfrac{\pi t}{15} -1)\)

Hence, The required sinusoidal equation is  \(y = -67.5 (cos\dfrac{\pi t}{15} -1)\)

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The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

Option D is the correct answer.

We have,

We need to isolate the absolute value |x + 2| on one side of the inequality.

We subtract 7 from both sides.

|x + 2| > 3

Next, we can split this inequality into two separate inequalities, one for when the expression inside the absolute value is positive, and one for when it is negative:

x + 2 > 3

or

- (x + 2) > 3

Solving for x in the first inequality.

x > 1

Solving for x in the second inequality.

-x - 2 > 3

Adding 2 to both sides and multiplying by -1.

x < -5

So the solution set for the inequality |x + 2| + 7 > 10 is the set of all x-values that satisfy either x > 1 or x < -5.

Using interval notation.

(-∞, -5) U (1, ∞)

Thus,

The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

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Answer: so the answer is -9 + 23*7 =  152  

Step-by-step explanation:  a24  = a1 + (24-1)d    where a1 = -9 and d = common difference ( 12-5 = 7)  

Hope this helped :D

About large or small numbers comparison

Answer 5^3 = 125

Explanation

Hal number is 2x5

Ann number is 5^3

Joe number is ?

5^3 = 25x 5 so

its 25/2 times bigger Ann number

We are given the following system of equations

Let us solve the above system of equations using the elimination method.

Suppose we want to cancel the x terms, then we have to multiply eq.1 by 4.

Now, add the two equations

As you can see, after adding the equations we get 0 = 18 which cannot be true.

This means that no solution exists for this system of linear equations.

Answer:

B

Step-by-step explanation:

Answer:

I think the answer is B. It slopes downward from left to right.

Answer:

8.1875

Step-by-step explanation:

The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;

\(y = 10^{16}\)

y = 10,000,000,000,000,000.

y = x² - 17x + 182

y = 16² - 17(16) + 182

y = 256 - 272 + 182

y = 166.

\(y = 1.17^x\\\\y = 1.17^{16}\)

y = 12.330304108137675851908392069373.

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To find the absolute value of a number , subtract the negative sign.

l-2 l = 2

l 11 l = 11

l 1 l = 1

l -4 l = 4

l- 9 l = 9

Answer:it might be 3

Step-by-step explanation:

due to someone getting 5sec wrong me getting 2 wrong another post with only three stars said 4 so did leave it to 4 or 3.

Answer:

A) Both events are not independent.

B) Both events are not mutually exclusive

C) 8.33%

D) 80%

Step-by-step explanation:

A) Both events are not independent. This is because, If B occurs it means that it is very likely that J will occur as well.

B) Both events are not mutually exclusive. This is because it is possible for both events J and B to occur at the same time.

C) we want to find the probability that Joe who is not a business student will receive the job offer.

This is;

P(J|Not B) = P(J & Not B)/P(Not B)

Now,

P(J & Not B) = P(J) – (P(B) × P(J | B))

25% of the students who attended received job offers. Thus; P(J) = 0.25

40% were from the College of Business. Thus;

P(B) = 0.4

Among the business students, 50% received job offers. Thus;

P(J|B) = 0.5

Thus;

P(J & Not B) = 0.25 - (0.4 × 0.5)

P(J & Not B) = 0.25 - 0.2

P(J & Not B) = 0.05

Since P(B) = 0.4

Then, P(Not B) = 1 - 0.4 = 0.6

Thus;

P(J|Not B) = 0.05/0.6

P(J|Not B) = 0.0833 = 8.33%

D) This probability is represented by;

P(B | J) = P(B & J)/P(J)

P(B & J) = (P(B) × P(J | B)) = (0.4 × 0.5) = 0.2

P(B | J) = 0.2/0.25

P(B | J) = 0.8 = 80%

Using the concept of profit, it is found that the function is:

\(P(s) = -s^2 + 75s - 2000\)

Profit is revenue subtracted by cost, that is:

\(P(s) = R(s) - C(s)\)

The revenue function is:

\(R(s) = 100s - s^2\)

Fixed cost of $2,000 thus $25 for each sneaker, thus, the cost function is:

\(C(s) = 2000 + 25s\)

Then, the profit function is:

\(P(s) = R(s) - C(s)\)

\(P(s) = 100 - s^2 - (2000 + 25s)\)

\(P(s) = -s^2 + 75s - 2000\)

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Answer:

08-Oct-2009 — If a spherical balloon has a volume of 972 pi cubic centimeters, what is ... is 4.pi.r^2 (its area remember not volume) as 4/3.pi.r^3=972pi r=9 ... and it is good to know the squares of the next 10 numbers.

Answer:

I have this same question on my math test.

Since the radius is 9, the diameter is 18.

The shape is being dilated by 2/3, so the new radius is 6.

Volume formula: V = 4/3πr^3

So now we plug in the values.

V = 4/3 x π x (6)^3

V = 4/3 x π x 216

V = 288π

If the answers do not have the pi symbol present, then it has been multiplied into the answer.

288 x 3.14 = 904.32

The new volume of the sphere is 904.32 in^3

9514 1404 393

Answer:

  a) base: 29.4377 cm

  b) hypotenuse: 30.7827 cm

  c) area: 132.470 cm²

  d) perimeter: 69.2204 cm

Step-by-step explanation:

a) The mnemonic SOH CAH TOA reminds you that ...

  Tan = Opposite/Adjacent

  tan(17°) = (9 cm)/base

  base = (9 cm)/tan(17°) = 29.4377 cm

__

b) The sine relation could be used in the same way to find the hypotenuse:

  hypotenuse = (9 cm)/sin(17°) ≈ 30.7827 cm

However, we're instructed to use the Pythagorean theorem. So, we have ...

  hypotenuse = √(base² +(9 cm)²) ≈ √(886.577 +81) cm ≈ 30.7827 cm

__

c) The area is half the product of the base and height:

  A = 1/2bh

  A = (1/2)(29.4377 cm)(9 cm) ≈ 132.470 cm²

__

d) The perimeter is the sum of side lengths:

  P = base + hypotenuse + height

  P = (29.4377 +30.7827 +9) cm = 69.2204 cm

To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Answer: To find the image of a figure under a translation, you need to apply the same translation to every point in the figure.

In this case, the image of hexagon DEFGHI is hexagon D′E′F′G′H′I′. To find the image of each point, you can apply the translation that maps point D to point D′.

For example, to find the image of point E under the translation, you can apply the same translation that maps point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation that maps point D to point D′ is a translation 6 units to the left and 2 units down.

To find the image of point E under this translation, you can apply the same translation to point E:

Point E is located at (5, 5).

The image of point E is located at (5 - 6, 5 - 2) = (-1, 3).

You can follow the same process to find the images of the other points under the translation.

Alternatively, you can use the coordinates of point D and point D′ to find the translation vector that describes the translation. The translation vector is a displacement that describes the change in position of a point under the translation.

In this case, the translation vector is given by the displacement from point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation vector is given by the displacement (-6 - 2, -2 - 5) = (-8, -7).

To find the image of any point under the translation, you can add the translation vector to the coordinates of the point. For example, to find the image of point E under the translation, you can add the translation vector to the coordinates of point E:

Point E is located at (5, 5).

The translation vector is (-8, -7).

The image of point E is located at (5 - 8, 5 - 7) = (-3, -2).

You can follow the same process to find the images of the other points under the translation.

Step-by-step explanation:

Answer:

4th option is the answer for first question.

4th option is the answee for second question.

Step-by-step explanation:

please mark me as a brainlist..

Answer:

Step-by-step explanation:

This is a very confusing, or otherwise incomplete question. The data Eliza recorded from her study at the aquarium is not given, and thus we wouldn't be able to peg a number as the time it took to travel 3100 miles by the whales.

There are lots of date missing, the total number of whales the distance each whale traveled and even, how long each traveled. These missing has essentially rendered the question unsolvable

Answer:

-2y - 4

Step-by-step explanation:

\(3y-4-5y\\\\3y-5y-4\\\\\boxed{-2y-4}\)

'3y' and '-5y' are like terms, so we combine them.

Hope this helps.

Answer:

49

Step-by-step explanation:

The numbers in 14 divided by 2/7 are labeled below:

14 = whole number

2 = numerator

7 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

\(\frac{14*7}{2}=\frac{98}{2}\)

Thus, the answer to 14 divided by 2/7 in fraction form is:

\(\frac{98}{2}\)

To make the answer to 14 divided by 2/7 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

98 / 2 = 49

The answer is rounded to the nearest two decimal points if necessary.

98/2 can be simplified to 49/1.

49/1 is an improper fraction and should be written as 49.

[RevyBreeze]

The division of 14 by 2/7 gives the quotient 49.

The division is one of the four introductory fine operations, the other three being addition, deduction, and addition. In simple words, division can be defined as the splitting of a large group into lower groups similar that every group will have an equal number of particulars. It's an operation used for equal grouping and equal sharing in calculation.

We have to divide 14 by 2/7.

So, We have to multiply the fraction by reciprocate the number 2/7 to 7/2.

So, the division is

= 14 x 7/2

= 7 x 7

= 49.

Thus, the quotient is 49.

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Answer:

\( \displaystyle \angle2 = {49}^{ \circ} \)

Step-by-step explanation:

remember that,

if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior angles

thus our equation is

\( \displaystyle \angle2 + {86}^{ \circ} = {135}^{ \circ} \)

cancel out 86° from both sides:

\( \displaystyle \angle2 = {49}^{ \circ} \)

hence,

the measure of the missing angle is 49°

Answer:

Solution given'

<2+45+86=180°[sum of interior angle of a triangle]

<2=180-131

<2=49°

Answer:

y = +3/2x + 12

Step-by-step explanation:

get slope

get midpoint

get b

1.

(-7,8) and (-1,4)

get slope

(y₂ - y₁) / (x₂ - x₁)

slope is -2/3

perpendicular slope is the negative reciprocal :

+3/2

y=mx + b

y=+3/2x + b

get midpoint :

(x₁ + x₂)/2, (y₁ + y₂)/2

(-4,6)

get b

y=mx + b

6=+3/2(-4) + b

6= -6+ b

b = 12

y = +3/2x + 12

Answer:

the answer is. C.i hope this helps sorry if im wrong

Answer:

(4, 3)

Step-by-step explanation:

Since, A (-4, 3) is reflected across the y-axis to obtain point B.

Therefore, y coordinate remains the same, x coordinate flips over the y axis to be positive.

(-4,3) ==>> (4,3)