Question
Estimate the mean of the number of points deducted from each student on an economics test given in the follow
grouped frequency table.
• Round the final answer to one decimal place.

Value Interval
0-3
4-7
8-11
Frequency
12
20
8

Annual rate of return earned when the share was sold at $50 per share is 20%

Annual rate of return earned when the share was sold at $60 per share is 40%

Annual rate of return is given by the formula

let end of the year price = eyp

let beginning of the year price = byp

= {(eyp - byp) / byp} * 100

Annual rate of return at share price of $50 per share

when there is paying of dividends the value is added to the the eyp

eyp =  50 * 100 + 2 * 100 * 5 = 6000

byp = 50 * 100 = 5000

= {(6000 - 5000) / 5000} * 100

= 20%

Annual rate of return at share price of $60 per share

eyp =  60 * 100 + 2 * 100 * 5 = 7000

byp = 50 * 100 = 5000

= {(7000 - 5000) / 5000} * 100

= 40%

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Considering the definition of perpendicular line, the equation of perpendicular line is y= -1/10x + 11/5.

A linear equation o line can be expressed in the form y = mx + b

where

Perpendicular lines are lines that intersect at 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

The line is y= 10x -8.

The line has a slope of  10. If you multiply the slopes of two perpendicular lines, you get –1:

10× slope perpendicular line= -1

slope perpendicular line= (-1)÷ 10

slope perpendicular line= -1/10

The perpendicular line has a form of: y= -1/10x + b

The line passes through the point (2, 2). Then:

2= -1/10× (2) + b

2= -1/5+ b

2+ 1/5= b

11/5= b

Finally, the perpendicular line is y= -1/10x + 11/5.

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Answer:

The Y intercept of this line is -3.

Step-by-step explanation:

The X intercept of the crossing line is about -1.4.
On finding the Y intercept:
Step 1: look at the vertical black line (Y Axis)

Step 2: Locate where the blue line crosses on this line.
Step 3: graph Y function of the point as your answer.

Hope this helped a bunch!
Have a great day!
- Kit-Kat~

The last sample range in this table is missing,the missing value is 2.

Given:

The Henry family has 5 children: Abby (age 15), Brian (age 10), Colin (age 9), Deena (age 7), and Elise (age 5).

Sample(n = 2)    A, B      A, C    A, D    Α, Ε  B, C ........ D,E

Ages                 15, 10    15,9    15,7    15, 5  10,9 .......  7,5

Sample range      5          6         8       10      1  ...........  

Let x be the sample range missing.

sample range = ages difference

= Age of D - Age of E

= 7 - 5

= 2

Therefore The last sample range in this table is missing,the missing value is 2.

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Answer:

answer is 2 i did it and got it right

Step-by-step explanation:

The equations of both trees are Tree A = 38 + 6t and Tree B = 20 + 9t and the growth interval of tree A is t < 6

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

Tree A

Tree B

The height after t years is

Tree = Initial height + rate * t

So, we have

Tree A = 38 + 6t

Tree B = 20 + 9t

Recall that

Tree A = 38 + 6t

Tree B = 20 + 9t

When Tree A is taller than Tree B, we have

38 + 6t > 20 + 9t

Evaluate the like terms

-3t > -18

Divide

t < 6

Hence, the interval is t < 6

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The rational zeros for f(x) = 3x^4 - 4x^3 + x^2 + 6x - 2 are x = -1 and x = 1/3 whereas the linear factors of f(x) are (x + 1) and (3x - 1).

We will use the synthetic division method to determine the rational zeros and linear factors of given polynomials.

Polynomials are divided via synthetic division.

The procedure entails of synthetic division:

Step 1: Create a synthetic divide.

Step 2: Bring the leading coefficient down to the bottom row.

Step 3: Divide this by the value stated in the bottom row.

Step 4: Finally, add the column you defined in step 3.

This can proceed as:

Given: f(x) = 3x⁴- 4x³ + x² + 6x - 2

3x⁴ - 4x³ + x² + 6x - 2 = 0

We will put x = -1 in f(x). In this case, replace x with -1. This will be:

f(-1) = 3 * 1⁴ - 4 * 1³ + 1² + 6 * 1 - 2 = 0

Since f(-1) = 0, so (x + 1) is a factor of f(x).

Using synthetic division:

-1)....3....-4....1....6....-2

.........3.....-7...8....-2..|..0

Remainder = 0

Quotient = 3x³ - 7x² + 8x - 2

For 3x³ - 7x² + 8x - 2,  f(1/3) = 0, so (x - 1/3) is a factor.

1/3)....3....-7....8....-2

..........3.....-6...6...|..0

Remainder = 0

Quotient = 3x² - 6x + 6 = 3(x² - 2x + 2)

Because x² - 2x + 2 has no more rational zeros or linear components. The rational zeros are hence x = -1 and x = 1/3.

Thus, the rational zeros for f(x) = 3x^4 - 4x^3 + x^2 + 6x - 2 are x = -1 and x = 1/3 whereas the linear factors of f(x) are (x + 1) and (3x - 1).

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Answer:

-1,-2,0

Step-by-step explanation:

n(2-3)

1st term=n(2-3)

substitute value

1(2-3)=-1

2nd term=2(2-3)=-2

3rd term=3(3-3)=0

Answer:

a^-6 or 1/a^6

Step-by-step explanation:

(a³)-²

=a^-6

=1/a^6

Answer:

8.25

Step-by-step explanation:

Answer:

i think, x equal 12 and y equal 20

The new temperature is given as -15°F.

A measurement unit is a unit to measure certain quantities.

For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.

To find the measurement of a new quantity known units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.

Given that,

The present temperature is 0°F.

And, the drop in the temperature is 15°.

The new temperature after the drop can be found by subtracting the amount of drop from the initial temperature as follows,

0 - 15°F

=  -15°F

Hence, the new temperature after the drop is  -15°F.

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Answer:

5.33 inches

Step-by-step explanation:

Mean is another term for average. Therefore, we add up all precipitation items from Column B and divide by the total number of items (9):

[tex]5.98+6.05+7.59+5.27+3.11+7.18+2.95+7.22+2.61=47.96[/tex]

[tex]47.96\div{9}\approx{5.33}[/tex]

Answer:

D: 3x9/5

Step-by-step explanation:

the formula for dividing fractions is skip flip multiply where we keep the first term the same and then flip the second to multiply

Hopes this helps please mark brainliest

The exact solutions of the given equation in the interval are;

A: x = 0, π/2, π, ³/₂π

We are given the equation as;

sin 4x = –2sin 2x

Writing the equation in standard form gives;

sin 4x + 2sin 2x = 0

Using trigonometric Identity, substitute (sin 4x) with (2sin 2x.cos 2x) to get;

2sin 2x cos 2x + 2sin 2x = 0

Factorize to get;

2sin 2x(cos 2x + 1) = 0

A. sin 2x = 0

The unit circle will give us 3 solutions for 2x as follows;

2x = 0

Thus; x = 0

2x = π

Thus; x = π/2

2x = 2π

Thus; x = π

B. cos 2x = - 1

The unit circle gives 2 solutions for 2x as;

2x = π

Thus; x = π/2

2x = 3π

Thus; x = ³/₂π

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Complete question is;

How do you find the exact solutions of the equation sin4x = −2sin2x in the interval [0, 2π)?

Answer:

the change is in %age of decrease of 10%

Step-by-step explanation:

original value = 20

new value = 18

decrease = 2

%age decrease = decrease/original value * 100

                         =  2/20 * 100

                         =  10%

The expression that represents the age of randy's brother is

2x.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Randy age = 8 years old

Randy's brother age = 2 x 8 = 16

Randy's sister age = 8 - 3 = 5

The expression that represents the age of randy's brother.

Let the age of Randy = x.

=  2x

= 2x

= 2 x 8

= 16 years old.

Thus,

The expression that represents the age of randy's brother is

2x.

Where x is the age of Randy.

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Answer:

$9.25

Step-by-step explanation:

$397.75÷43=$9.25

Weekly salary divided by hours of work = hourly pay

Answer:

a )

[tex]6 ( ? ) = 27[/tex]

b )

? = The amount of rice in each container.

So, 1 container = ( ? ) ounce.

6 containers have = 6 x ( ? ) ounces.

We know that 6 containers have 27 ounces so...

[tex]6 ( ? ) = 27[/tex]

[tex]? = \frac{27}{6}[/tex]

[tex]? = 4.5[/tex]

Final Answer: 4.5 ounces in each container

Hope this helps! :)

Answer:

See below

Step-by-step explanation:

You can pull  one y   and 6 n's out to start

then   4/5 = 24/30     and 5 / 6 = 25/30

and you can factor out a   -1

- y n^6 /30  ( 24  + 25 y^3n^2 )

Answer:

b

Step-by-step explanation:

The correct option is (b) The data does not contain an outlier. This means that the people at the center were all seniors around the same age.

Outlier in a data set is simply the extremely low data point or an extremely high data point compared to other points in the dataset.

It will stand out from the other values in the dataset.

The line plot shows the ages of people visiting a senior center one afternoon.

The data points are,

70, 70, 70, 75, 75, 80, 80, 85, 90, 90, 95, 95, 95, 100.

If there is an outlier in the set, it would be extremely low or high compared to other points.

But there are no such points.

So there are no outliers.

This means that people visited at the center were all seniors around the same age.

Hence the correct option is (b).

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The inequality to find the value of x for the rectangle is 2(2x+4) < 122 and the value of x should be less than 28.5.

According to the question,

We have the following information:

The perimeter of the rectangle is less than 122.

A rectangle has a width of x and a length of x plus 4.

Now, the expressions for the width and length of the rectangle are given below:

Width = x units

Length = (x+4) units

We know that the following formula is used to find the perimeter of rectangle:

2(length+width) < 122

2(x+4+x) < 122

2(2x+4) < 122

Dividing by 2 on both sides:

2x+4 < 122/2

2x+4 < 61

Subtracting 4 from both sides:

2x < 61-4

2x < 57

Dividing by 2 on both sides:

x < 57/2

x < 28.6

Hence, the inequality to find the value of x for the rectangle is 2(2x+4) < 122 and the value of x should be less than 28.5.

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Answer:
3/2

Step-by-step explanation:

the answer is 3/2 because you take the slope by using the equation y/x. I did this problem by starting prop the point (0,-6). I then counted for how many points I went up, how many did I go to the right or left. If it went to the right it’s positive, to the left it is negative. In this case it went to the right 2 times every time it went up 3. Meaning 3/2

Answer:

y=3x+25

Step-by-step explanation:

we need start by making slope intercept form

lets move the 12x after moving it we get

-4y=-12x+4 we need to remove the - 4 from the y so we need to divide the whole equation by - 4

we get y=3x-1

now we can create an equation to get the parallel line

y+2=3(x+9) now distribute

y+2=3x+27 and subtract the two

y=3x+25

Answer:

I = (2350)(0.0277)(6)

Step-by-step explanation:

We're told the principal, rate, and time so we just plug in.

We must convert the 2.77% to a decimal by moving the period two places to the left to get the rate 0.0277

Answer:

The answer is a D. a circle

The base shape of the cylinder can only be a circle.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A cylinder is a three-dimensional shape that has two congruent parallel circular bases connected by a curved surface.

The shape of the base determines the shape of the cylinder. If the base is circular, then the cylinder is called a circular cylinder.

A non-square rectangle and a square are not circular, and thus cannot be the base shape of a cylinder.

Hence, the base shape of the cylinder can only be a circle.

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Answer: 2.5>9.5

Step-by-step explanation: maybe we should both pay attention to math

Answer:

A hiker walks 10 km East, then 5 km in a direction 60 degrees North of West, then 8.7 km in a direction 30 degrees South of West. Find her resultant displacement.

Since you walk 10km North then turn and walk 5km East, your displacement from where you started is approximately 11.18 km.

From the information given, we have that you walked 10 km north (which represents the vertical side of the triangle) and 5 km east Using the Pythagorean theorem, the displacement (d) can be determined  as;

[tex]d^2 = (10 km)^2 + (5 km)^2[/tex]

Find the square values, we get

d² = 100 km² + 25 km²

add the squares, we get

d² = 125 km²

Find the square root of both sides of the equation, we have;

d = 125km²

d =  11.18 km

Therefore, your displacement from where you started is approximately 11.18 km.

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After solving the equation of vector, the value obtained is equal to one, which shows that vectors are orthogonal.

A vector is a quantity with both magnitude and bin physics. It is often depicted by an arrow with the same direction as the amount and a length proportionate to the size of the quantity. A vector has magnitude and the direction, but no position. As soon as a vector's length remains unchanged, it is consequently untouched by movement perpendicular to itself.

In contrast to vectors, scalars are normal variables having a magnitude but no direction. Displacement, velocity, and acceleration are all vector quantities, unlike speed, time, or weight, which are scalar variables.

uw = -6 + 10- 3

uw = 1.

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