The average age of a university student was found to be 24 with a standard
deviation of 2. What age group is within 2 standard deviations of the mean?

Answer:

9miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Part A

The angular difference of their longitude is approximately 50.65°

Part B

The location of B is on the longitude of approximately 30.65°E

Step-by-step explanation:

Part A

The given parameters are;

The location of the points A and B = Along the parallel of latitude 60°

The radius of the Earth, R = 6,371 km

The radius at the 60° parallel of latitude, r = R × cos(θ)

∴ r = 6,371 × cos(60°) = 3,185.5

The circumference of the 60° parallel of latitude, C₆₀ = 2 × π × 3,185.5

The angle subtended by the arc formed by their distance apart, θ₁, is given as follows;

θ₁ = 2,816/(2 × π × 3,185.5) × 360 ≈ 50.65°

The angular difference of their longitude, θ₁ ≈ 50.65°

Part B

Given that the location of A is on the longitude 20°W and A is due west of B, we have the location of B is on the longitude (50.65° - 20°)E = 30.65°E

The location of B is on the longitude of approximately 30.65°E.

Rewrite the equation in slope-intercept form

5x -2y = 28

Subtract 5x from both sides

-2y = -5x + 28

Divide both sides by -2

Y = 5/2x -14

The y intercept is -14

Answer:

Solution given:

5x-2y=28

5x-28=2y

y=5/2x-14

comparing above equation with y=MX+c

where

c=y intercept=-14

-14 is a required answer.

Answer:

The total cost of the science class trip to the zoo is $1200

Step-by-step explanation:

The cost of the science class trip to the zoo is $1200, and the cost of Mr. Sexton's class trip to the state park is $1000.

Here's link[tex]^{}[/tex] to the answer:

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

42/6 = 7

7 - 4 = 3

Step-by-step explanation:

9514 1404 393

Answer:

  3(x)(4x -3)(2x -5)

Step-by-step explanation:

First of all, recognize that all coefficients are multiples of 3, and all terms have x as a common factor. This means your first factorization is ...

  (3x)(8x^2 -26x +15)

Now, you can use the "X-method" or similar to factor the quadratic. Start by looking for factors of (8)(15) = 120 that have a total of -26. Both will be negative. Here is a list of the positive factor pairs.

  120 = 1·120 = 2·60 = 3·40 = 4·30 = 5·24 = 6·20 = 8·15 = 10·12

The sums of these factor pairs are ...

  121, 62, 43, 34, 29, 26, 23, 22

The pair with a sum of 26 is highlighted.

Using this information, you can complete the X-method diagram, or you can use these numbers to rewrite the quadratic x-term to have 2 parts:

  8x^2 -20x -6x +15

Now, the quadratic can be factored by grouping:

  =  (8x^2 -20x) +(-6x +15)

  = 4x(2x -5) +3(-2x +5)

Recognizing the sign difference between the parentheses contents, we can factor the quadratic to be ...

  = (4x -3)(2x -5) . . . . . note the sign gets attached to the 3

So, the complete factorization of the original expression is ...

  24x^3-78x^2+45x = 3(x)(4x -3)(2x -5)

Answer:

B) measures of variability

Hope this helped :)

When you log an e, you are essentially taking the natural logarithm of the number. This means that you are taking the logarithm of a number to the base e, which is about 2.718. The result of this calculation is the number of times the number must be multiplied by itself to get the original number.

For example, if you were to log an e, it would be equal to 1, since e x e = e. If you log a number bigger than e, such as 8, the result would be equal to 2.079, which means that 8 must be multiplied by itself twice (2.079 times) to get the original 8.

In general, when you log a number, you can think of it as a way of seeing how many times that number needs to be multiplied by itself to get the original number. This can be useful in many fields, from mathematics to engineering to physics, to find the mathematical relationship between two numbers.

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An expression which is equivalent to given [tex]\frac{\frac{1}{z+5} }{\frac{z+3}{5z+15} }[/tex] is 5 / (z + 5)

The correct answer is an option (B)

Consider given quotient.

[tex]\frac{\frac{1}{z+5} }{\frac{z+3}{5z+15} }[/tex]

Consider expression 5z + 15

We can write this expression as 5(z + 3) by  taking out the common factor 5.

So given quotient would be,

[tex]\frac{\frac{1}{z+5} }{\frac{z+3}{5(z+3)} }[/tex]

As we know a fraction is put in lowest terms by cancelling out the common factors of the numerator and the denominator.

For fraction [tex]\frac{z+3}{5(z+3)}[/tex] , the common term is z + 3.

So, [tex]\frac{z+3}{5(z+3)} = \frac{1}{5}[/tex]

We know that for fractions a/b and c/d where b ≠ 0, d ≠ 0, if we take quotient of these fraction then that would be,

(a/b) / (c/d) = (a/b) × (d/c)

So, given quotient would be,

[tex]\frac{\frac{1}{z+5} }{\frac{1}{5} }\\\\\\=\frac{1}{z+5} \times \frac{5}{1} \\\\\\=\frac{1\times 5}{(z + 5)\times 1}[/tex]

= 5 / (z + 5)

Therefore, an equivalent expression is: 5 / (z + 5)

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Answer:

C.

Step-by-step explanation:

Answer:

1155

Step-by-step explanation:

let the ratio be 4x:11x

4x=420

x=105

11x=11*105

=1155

Answer: a circular movement

Step-by-step explanation: rotation has a central point that stays fixed and everything else moves around that point in a circle.

EX) a full rotation is 360

Answer:

5 × x + 8

Would be the equation you are looking for.

Let first number be x.

Let second number be y.

According to question,

x+y=36…….(equation 1)

and

x-y=6…..(equation 2)

equation 2 can be written as , x=6+y……(equation 3)

Put equation 3 in equation 1,

6+y+y=36

6+2y=36

2y=36–6

2y=30

y=30/2

y=15

now, put y=15 in equation 1,

x+15=36

x=36–15

x=21

So, numbers are 21 and 15.

Answer:

the answer is e. i hope this helps :)))

Answer:

I don't understand your language

Step-by-step explanation:

Answer:

Whom are you asking????

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

America

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Therefore , the solution of the given problem of triangle comes out to be  A'(1, 0) (1, 0) , B'(1, 2) (1, 2) and C'(3,-2) (3,-2).

The fact that a triangle has four segments or vertices qualifies it as a polygon. It is an elementary geometric form. The name given to a triangle with endpoints A, B, then C is Triangle ABC. A singular plane and square are obtained in Euclidean geometry when the edges are not collinear. Any triangle that has three sides and three corners is a polygon. The triangle's corners are the spots at which its three sides intersect. 180 degrees is the result of three triangle angles.

Here,

The image A'B'C' is formed by our transformation rule, (+3,y-2)

So:

1. Describe the updated coordinates for points A', B', and C'?

In order to locate these new positions, we have:

A' (-23, 2-2)  =>    A'(1, 0) (1, 0)

B' => (-23, 4-2)    =>   B'(1, 2) (1, 2)

C'=> (0+3,0-2) => C'(3,-2) (3,-2)

2. Explain the qualities that would emerge if the respective vertices were linked together by lines.

We can notice the two triangles on the First Figure if we look closely. The green one is A'B'C, while the red one would be the triangle ABC.

The equivalent vertices with in second figure have been joined together by line segments, as shown by the green lines.

Two things can be said about those three lines: first, they are parallel, and second, they are all the same length.

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Parallel programming can improve the performance of an application over sequential programming in certain cases, but it is not a guarantee.

Parallel programming allows for the use of multiple processors or cores to perform tasks simultaneously, which can improve the overall speed of an application. However, parallel programming can also introduce complexity and overhead, which can decrease performance. The potential for improved performance depends on the specific application and the design of the parallel implementation. Some applications may not benefit from parallel programming because they are not computationally intensive or because their data is not easily divided into parallelizable tasks. Additionally, the performance improvement also depends on the number of cores and the communication costs between them.

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The distance between the girl and her bike is 25.00 ft.

Distance is the measure of how far apart two objects, places, or points are. It can be measured in a variety of units, such as miles, kilometers, inches, centimeters, or other units.

The distance between the girl and her bike can be found using the Pythagorean Theorem. The Pythagorean Theorem states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse.

In this case, the girl is 20 ft. east of the school and 21 ft. south of the school. Therefore, the two sides of the triangle are 20 ft. and 21 ft. and the hypotenuse is the distance between the girl and her bike.

Using the Pythagorean Theorem, the hypotenuse is equal to the square root of (20^2 + 21^2) = 25.00 ft.

Therefore, the distance between the girl and her bike is 25.00 ft.

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Answer: 3.25 miles

Step-by-step explanation:

Given

Mike Jogged 6 laps around a 0.25-mile track on Tuesday

7 laps on Thursday

Miles jogged on Tuesday is [tex]6\times 0.25=1.5\ \text{mile}[/tex]

Miles jogged on Thursday is [tex]7\times 0.25=1.75\ \text{miles}[/tex]

Total miles Jogged is [tex]1.75+1.5=3.25\ \text{miles}[/tex]

Answer:Yes

Step-by-step explanation: It is a right triangle as if you imagine it, you can see that is half of a square, holding a right angle within it.

Answer:

3rd one

Step-by-step explanation:

Answer:

Regular megagon

Step-by-step explanation:

Regular megagon is a shape called with 1000000000 sides.

Answer:

Correct answer just took the quiz

Step-by-step explanation:

The correct option for the given statement is that (x-2) is a factor of [tex]5x^{2} -16x+12[/tex].

It is a number by which the number whose it is a factor can be divided.

To check factor of an equation we need to divide it with so to check (x-2) a factor of [tex]5x^{2} -16x+12[/tex] we need to divide the equation by x-2

=( [tex]5x^{2} -16x+12[/tex])/x-2

=5x-6

So it is a factor of the given equation.

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Answer:

7/22 or 0.31818...

Step-by-step explanation:

have a good day!! :)

The equation that models the height of the tent, h, in feet, with respect to the horizontal distance in feet from the left edge, d, is h = 1.5 d + h0.

The height of the tent is 22. 5 feet at a horizontal distance of 15 feet.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The height of the tent varies at a rate of 1. 5 feet with the horizontal distance from the left edge.

This can be written as -

h = 1.5 d, where d is the distance.

So, the equations that models the situation is -

h = 1.5 d + h0

The peak of the tent is at 30 feet and is at a horizontal distance of 20 feet from the left edge.

So, when d =20, then h =30.

Plugging the values in the equation -

30 = 1.5 (20) + h0

30 = 30 + h0

h0 = 0

The height of the tent is 22. 5 feet.

So, now h = 1.5 d and h = 22.5.

Equating these two -

22.5 = 1.5 d

d = 22.5/1.5

d = 15

Therefore, the distance value is obtained as 15 feet.

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Answer:

[tex]J.(x,y)[/tex] → [tex](9x,9y)[/tex]

[tex]--------[/tex]

hope it helps..

have a great day!!