the average number of dropout for a school dsitrict has been 305 per year with a standard eveiation of 50. what is the probility that the number of dropouts next year will be: g

Answer:

k = 48.4

Step-by-step explanation:

[tex] \frac{k - 16}{6} = 5.4 \\ 6 \times \frac{(k - 16)}{6} = 5.4 \times 6 \\ k - 16 = 32.4 \\ k = 32.4 + 16 \\ k= 48.4 [/tex]

The height of the hill in the painting 3 inches from the left side of the picture is 30 Inches. Option C

From the information given, we have that;

We also have that the function is;

h(x) =-(x)(x-13)

Given that the distance is 3 inches

Substitute the values, we have;

h(3)= -(3)(3-13)

substract the values

h(3) = (-3)(-10)

multiply the values

h(3) = 30 inches

Hence, the value is 30 inches

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Answer:

Step-by-step explanation:

First, add 7 to all parts of the inequality to isolate x.

-10+7 < 3x-7+7 ≤ 5+7

-3 < 3x ≤ 12

Then divide all sides by 3.

-1 < x ≤ 4

So x is greater than -1 but less than or equal to 4.

This can be written as (-1, 4] in interval notation.

Answer:

D

Step-by-step explanation:

[tex]100(1 + \frac{016}{12}) ^{12(20)}[/tex]

331.02

Answer:

D. $220.00

Explanation :

Pt(1+r/n) n

Answer:

10

Step-by-step explanation:

i love how you look like a dinosaur

The two unique values of sin theta in radians are

The sine function has a range of [-1, 1], so there are multiple angles that correspond to a sine of 1/2.

The most commonly used values are π/6 (30 degrees) and 7π/6 (150 degrees), which are in the first quadrant and second quadrant and have a positive sine value of 1/2.

It's worth noting that there are an infinite number of angles that correspond to a given sine value, since the sine function has period 2π. These angles are related to the angles by adding or subtracting multiples of 2π.

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The volume of the cone in terms of π is 96π inches³.  

The cone has a base radius of 6 inches and the height of the cone is 8 inches. Therefore, the volume of cone can be found as follows:

volume of cone = 1 / 3 πr²h

where

Therefore,

r = 6 inches

h = 8 inches

Hence,

volume of cone = 1 / 3 × π × 6² × 8

volume of cone = 1  / 3 × π × 36 × 8

volume of cone = 12 × 8 × π

volume of cone = 96π inches³

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The value of the expressions are;

a. 2x² + 6

b. 3x² - 6x + 2x -6

c. y = 3

d. x = 2

From the information given, we have

a. 2x(x + 3)

expand the bracket

2x² + 6

b. (3x + 2)(x-3)

expand the bracket

3x² - 6x + 2x -6

c. 4y -2(6-y) = 6

expand the bracket

4y - 12 + 2y = 6

collect like terms

6y = 18

Then,

y = 3

d.  x(2x-4)= (2x + 1)(x-2)

expand bracket

2x² - 4x = 2x² - 4x + x - 2

collect like terms

x = 2

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B=3b-b

C= 2b expressions are equivalent to 4 � 4b4, b .

b+2(b+2b)=b+2(3b)=b+6b=7b

3b+b=4b

2(2b)=4b Option B and C produce the outcome 4b. They are the expressions that are comparable to 4b as a result. We can also get an equivalent equation by multiplying or dividing both sides of an equation by the same nonzero value. If x4=2x+7, we can add 4 to both sides to get the following equation, which is equivalent: x4+4=2x+7+4. Of course, both sides of the equation can be made simpler. Constants x=2x+7+4 on the left side cancel each other out. If two systems of equations have the same solution, they are equivalent (s). In algebra, two equations are said to be equivalent if their roots or solutions are the same. The same number, symbol, or expression must be added to or subtracted from both sides of an equation to produce an equivalent equation.

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Answer:

6x-3 - (x-1) is the expression.

You want to make sure to bring the - over both the "x" and the "-1". You end up with the expression 5x-2. I need more info to "evaluate the expression", it is not possible to evaluate it currently because of limited information on what the expression would equal.

Not sure but i think it's 6.3.

Pythagoras theorem

a²+b²=c²

6.9 is the hypotenuse (c)

2.9 is the base (b)

a is the altitude of the wall or the height of the wall (a)

a²+2.9²=6.9²

a= 6.3

[tex] \frac{1}{8} < \frac{3}{4} [/tex]

Answer:

50) i. C 800cm^2

50)ii. B 120cm

Step-by-step explanation:

Use the picture in its given 2-d to mark the unknown measures. Such as, the gray rectangle on top has a bottom that is also 20 and the left side is 15.

The small horizontal jutting out on the left mid-way down is 5cm same as the 5cm just below.

When you mentally "unfold" the shape to its full rectangular shape and size, all the lengths are marked.

Use:

Area=length×width

and,

Perimeter

=L + w + L + w

There are lots of perimeter formulas, for perimeter, you just add up all the sides all the way around the shape.

see image.

Answer:

e would equal a half because it's in the middle

Using the distributive property, we can write (z-5)(z+3) is equal to  [tex]z^2[/tex] - 2z - 15.

Let us expand the expression (z-5)(z+3).

We will distribute the terms in the first set of parentheses (z-5) to the terms in the second set of parentheses (z+3) as follows -

(z-5)(z+3) = z(z+3) - 5(z+3)

Now, we will simplify the expression by distributing z to both terms inside the first set of parentheses, and then distributing -5 to both terms inside the second set of parentheses as follows -

z(z+3) - 5(z+3) = [tex]z^2[/tex] + 3z - 5z - 15

Combining the like terms, we get,

(z-5) (z+3) = [tex]z^2[/tex] - 2z - 15

Therefore, (z-5)(z+3) is equal to  [tex]z^2[/tex] - 2z - 15.

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To compare the two investment options, we must compute the future value (FV) of each account after 30 years of compounding at a 2.5% rate.As an outcome, the IRA will have a future value that is $107,116.33 greater than the Roth IRA.

We have monthly payments of $416.66 for 30 years, or 360 months, on the IRA. Using the following formula to calculate the future value of an annuity:

[tex]FV = PMT * [(1 + r)^n - 1] / r[/tex]

We can calculate the future value of the IRA using the following formula: where PMT is the monthly payment, r is the monthly interest rate (2.5% / 12), and n is the number of payments (360):

[tex]FV IRA = 416.66 * [(1 + 0.025/12)^360 - 1] / (0.025/12) = $358,888.91[/tex]

We have annual payments of $5000 for 30 years on the Roth IRA. Using the following formula to calculate the future value of a lump sum:

[tex]PV * (1 + r)n = FV[/tex]

where PV is the present value (the lump sum), r is the annual interest rate (2.5%), and n is the number of years (30), we can calculate the Roth IRA's future value:

5000 * (1 + 0.025)30 = $251,772.58 FV Roth

As a result, the IRA will outperform the Roth IRA in terms of future value by:

$358,888.91 - $251,772.58 = $107,116.33 FV IRA - FV Roth

As a result, the IRA will have a future value that is $107,116.33 greater than the Roth IRA.

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In the linear equation y=2x+3, if x increases by 4 points, the y will increase by 8 points.

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation's graph will always be a straight line. A linear equation is expressed using the linear equation formula. There are numerous ways to accomplish this. A linear equation, for instance, can be written in standard form, slope-intercept form, or point-slope form. 

According to that,

y=2x+3 is the linear equation.

x will now rise by 4 points.

According to the data given, the calculation is as follows:

x = x + 4

So = 2(x)

= 2(x + 4) + 3

= (2x + 3) + 8

= y + 8

Eight points should be added to the y.

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Most data is likely to be skewed following a particular trait because when considering real life data, it is likely that it may concentrate on one end of the values on the real line as there is high uncertainty that exists with real life.

There is very little confidence that the population would behave in expected ways.

The skewed distribution implies the distribution that is not symmetrical. If a distribution is skewed it can be skewed to the left i.e. mean lies to the left of the center or skewed to the right i.e. mean lies to the right of the center of the distribution.

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The required answers are,

a) 675.75 [tex]ft^2[/tex]

b) 9.46 gallons or we can say that 10 gallons needed.

c) $183.2

The amount of unit squares that cover a closed figure's surface is its area. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity. The term “area” refers to the space inside the boundary or perimeter of a closed shape.

Now in the given question,

Area of Walls:

[tex]A(walls)=2(11*8)+2(20*8)\\A(walls)=2(88)+2(160)\\A(walls)=176+320\\A(walls)=496 ft^2[/tex]

Area of 2 windows:

[tex]A(windows)=2(3*4)\\A(windows)=2*12\\A(windows)=24 ft^2[/tex]

Area of door:

[tex]A(door)=2.5*6.5\\A(door)=16.25 ft^2[/tex]

Area of walls to be painted:

[tex]=A(walls)-A(windows)-A(door)\\=496-24-16.25\\=455.75ft^2[/tex]

Area of ceiling:

[tex]A(ceiling)=11*20\\A(ceiling)=220ft^2[/tex]

(a) Now total area to be painted:

A(walls to be painted)+ A(ceiling)=A(total)

[tex]A(total)=455.75 ft^2+220ft^2\\A(total)=675.75 ft^2[/tex]

(b) Number of Gallons:

coverage=71.41 ft^2 /gallon

675.75 ft^2/71.41 ft^/gal=gallons needed

9.46 gal= 10 gallons needed(approx)

(c) Cost of Paint:

You would need to buy 10 gallons at $18.32/gallon to have sufficient paint

cost=10 gallons x $18.32/gallon

=$183.2

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The values of x for which f(x) = g(x) are -1 and 4

From the question, we have the following parameters that can be used in our computation:

f(x) = -2x + 4

g(x) = x^2 - 5x

Using the above as a guide, we have the following:

Using the above as a guide, we have the following:

x = -1 and x = 4

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The table is completed using this function rule y = 4x + 2 is given below.

x            -2            0             2            4

y            -8            2            10           18

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

y = 4x + 2

At x = - 2, the value of 'y' is given as,

y = 4 × (-2) + 2

y = - 8 + 2

y = - 6

At x = 0, the value of 'y' is given as,

y = 4 × (0) + 2

y = 0 + 2

y = 2

At x = 2, the value of 'y' is given as,

y = 4 × (2) + 2

y = 8 + 2

y = 10

At x = 4, the value of 'y' is given as,

y = 4 × (4) + 2

y = 16 + 2

y = 18

The table is completed using this function rule y = 4x + 2 is given below.

x            -2            0             2            4

y            -8            2            10           18

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Step-by-step explanation:

Please here it is.

Given y = 4x + 2

The areas of the scale factors 2, 3, 5, 1/2 and 2/3 are 144, 324, 900, 9 and 16 square units respectively.

The area of the right triangle = 36 square units

Scale factor of each scaled copies of the right triangles are given

Scale factor = 2

Then the area will be = Area at scale factor 1 × square of scale factor

Substitute the values in the equation

Area = 36 × 2^2

= 36 × 4

= 144 square units

Scale factor = 3

Area = 36 × 3^2

= 36 × 9

= 324 square units

Scale factor = 5

Area = 36 × 5^2

= 36 × 25

= 900 square units

Scale factor = 1/2

Area = 36 × (1/2)^2

= 36 × 1/4

= 9 square units

Scale factor = 2/3

Area = 36 × (2/3)^2

= 36 × 4/9

= 16 square units

Therefore, area of the each scale factor has been found

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The given question is incomplete, the complete question is :

A right triangle has an area of 36 square units if you draw scaled copies of this triangle using the scale factor in the table, what will the areas of these scaled copies be?

Answer: 5/12

Step-by-step explanation:

- For the ease of the problem, turn them into improper fractions, so it would be:

13/3 divided by 14/5 divided by 26/7

- Next, let's turn the equation from division to multiplication. This can be done by flipping the fractions of everything being divided, so:

13/3 times 5/14 times 7/26

- We can cross out some parts of the fraction, like 13 and 26, 14 and 7, which simplifies our equation to:

1/3 times 5/2 times 1/2 = 5/12

Answer:

[tex]\dfrac{5}{12}[/tex]

Step-by-step explanation:

Given equation:

[tex]4 \frac{1}{3} \div 2 \frac{4}{5} \div 3 \frac{5}{7}[/tex]

Convert the mixed numbers into improper fractions:

[tex]\dfrac{4 \times 3+1}{3} \div \dfrac{2 \times 5+4}{5} \div \dfrac{3 \times 7+5}{7}[/tex]

[tex]\dfrac{13}{3} \div \dfrac{14}{5} \div \dfrac{26}{7}[/tex]

[tex]\textsf{Apply the fraction rule:} \quad \dfrac{a}{c}\div\dfrac{b}{d}=\dfrac{a}{c}\times \dfrac{d}{b}[/tex]

[tex]\dfrac{13}{3} \times \dfrac{5}{14} \times \dfrac{7}{26}[/tex]

Multiply the fractions:

[tex]\dfrac{13\times5\times7}{3 \times14 \times 26}[/tex]

[tex]\dfrac{455}{1092}[/tex]

The greatest common factor of 455 and 1092 is 91.

Therefore, divide the numerator and denominator by the GCF:

[tex]\dfrac{455 \div 91}{1092\div 91}=\dfrac{5}{12}[/tex]

Angle of elevation = tan-1 (150/3168).Angle of elevation = 5.0°The angle of elevation of the road is 5.0°.

In order to calculate the angle of elevation of a road, we need to know the vertical distance it has changed and the horizontal distance it has travelled. In this case, we have a vertical distance of 150 feet and a horizontal distance of 0.6 miles. Since there are 5280 feet in a mile, this is equivalent to 3168 feet .Using the formula for angle of elevation, we can calculate the angle of elevation for this road Angle of elevation = tan-1 (vertical distance/horizontal distance)Angle of elevation = tan-1 (150/3168).Angle of elevation = 5.0°Therefore, the angle of elevation of the road is 5.0°.

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I- uhm, it makes one but, I think that's just an equation...

Answer:

Gavin made a Profit of $66.69 that is 93% Profit

Step-by-step explanation:

First, we calculate the Selling Price of Jeans after converting from GBP to USD on the given rate:

Rate: £1 = $1.34

Quantity: 3

Price in USD = Selling Price per pair * Rate in USD

£34.50 * 1.34 = $46.23 per pair of jeans.

Total Selling Price = Price Per Pair * Quantity
= 46.23 * 3
= $138.69

Total Profit = Total Selling Price - Total Cost Price
= $138.69-$72
= $66.69

Percentage of Profit = Total Profit / Total Cost Price
=66.69 / 72
=92.65

Therefore, the Profit Percentage is 92.65 % the nearest whole number would be 93%

To calculate Gavin's percentage profit, find the difference between the selling price and the buying price, and calculate the percentage of the buying price that the profit represents.

To calculate Gavin's percentage profit, we need to find the difference between the selling price and the buying price, and then calculate the percentage of the buying price that the profit represents.

Gavin's percentage profit is approximately 92.6%.

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Kyle: Rotation about the origin, then reflection across the x axis

Tina: Reflection over the line y = x

In geometry, reflection refers to a transformation that involves flipping a shape or object over a line, often called the "line of reflection".

This transformation preserves the size and shape of the original object, but changes its orientation by reversing the positions of all its points across the line of reflection.

Considering the image, rotation about the origin, then reflection across the x axis when compare with Reflection over the line y = x. will yield similar result.

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Answer: A

Step-by-step explanation: This is how to solve: 3239 / (36 *365)

That's 0.246499239 kills per day, so none died

I hope this helped!

In the beginning, Sita had Rs. 64 to start with.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

From the given information the equation can be formed as,

4ˣ + 128 = 3.2⁽ˣ⁺³⁾.

2²ˣ + 2⁷ = 3.2⁽ˣ⁺³⁾.

Putting some arbitrary values of 'x' we gey at x = 3,

64 + 128 = 3.64.

So, In the beginning, she had 4³ rs which is 64 rs.

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