What's the recursive rule for the arithmetic sequence described in the following list? Use the rule to find the eighth term of the sequence.
5, 9, 13, 17, 21

Answer:

20

Step-by-step explanation:

3 is 20% of 15

The sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error is 0.05.

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

\(\rm MOE = X \times \dfrac{s}{\sqrt{n}}\)

Where   Z is the z-score at the confidence interval

           s is the standard deviation

           n is the number of samples.

We know:

\(\rm MOE =Z \times\sqrt{ \dfrac{pq}{n}}\)

We have MOE = 0.05, p = 46% = 0.46,

q = 1-p = 1-0.46 = 0.54

Z at 0.02(because 98% level of confidence) = 2.33

Plug this value in the formula we get:

\(0.05=2.33\times \sqrt{\dfrac{0.46\times 0.54}{n}}\)

After solving:

n = 539.41 ≈ 540

If no estimate is given:

p = 0.5 and q = 0.5

\(0.05=2.33\sqrt{\dfrac{0.5\times 0.5}{n}}\)

n = 542.89 ≈ 543

Thus, the sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error is 0.05.

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Answer:

A would be correct

Step-by-step explanation:

the answer is A.

Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

Answer:

The expected number of winning balls that Heather draws is 0.3.

Step-by-step explanation:

The balls are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Expected value of the hypergeometric distribution:

The expected value is given by:

\(E(X) = \frac{nk}{N}\)

Expected number of blue and green balls:

40 balls, which means that \(N = 40\)

2 are chosen, which means that \(n = 2\)

25 are blue, which means that \(k = 25\)

So

\(E(X) = \frac{nk}{N} = \frac{25(2)}{40} = 1.25\)

1.25 balls are expected to be blue and 2 - 1.25 = 0.75 green.

Of the blue balls, 12% are winning.

Of the green balls, 20% are winning.

Calculate the expected number of winning balls that Heather draws.

\(E_w = 1.25*0.12 + 0.75*0.2 = 0.3\)

The expected number of winning balls that Heather draws is 0.3.

Answer:

34.25

Step-by-step explanation:

Answer:4.5 + 19.75 = 24.25

Step-by-step explanation:

Plug in 5 at the bottom fpr the answer because we know we don't have to add anything else to that. Now move to 7 and blank. Since its addition we knkw we have to make it to were we carry a number since we can't get 2 any other way. So 7+5 equals 12 so carry your one over. 9+4+1 equals 14 and then from there you carry the one over again. Since you know you already have one therw and you are trying to get two that blank space will be a one as well since 1+1 equals 2.

The new dimensions of the new rectangle is length 8 inches and width 10 inches.

Perimeter of a rectangle = 2(length + width)

26 = 2(8 + x)

26 = 16 + 2x

26 - 16 = 2x

10 = 2x

x = 10/2

x = 5 inches

New rectangle

= 10 inches

Therefore, the new dimensions of the new rectangle is length 8 inches and width 10 inches.

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Answer:

They are both the same.

Step-by-step explanation:

-2.875

7/8 = 0.875 thus -2 7/8 is equal to -2.875

One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

Digital Construction is known to be a term that connote  the act of using digital technologies to be able to make construction to be more better and  with higher quality.

Note that  a lot of the new technologies have been seen to have proven themselves and gives  a lot of opportunities for the construction,

In the use of the digital tools, one can Construct a line or a line segment and then uses the move tool to drag some points around, and then watch to see what happens.

Therefore,  One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

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Answer:

C.

Step-by-step explanation:

We have five unshaded, 1 half of unshaded, and 1 shaded, Thus, It will be showed as \(\frac{1}{6}\)  ➗ \(2\)

Answer:

120/150

Step-by-step explanation:

total mangos picked is 120+30= 150

Bola picked 120 so the ratio is 120/150

The value of the sales tax applied to the bill is $0.36

If we have an initial value A, and we increase it by a percentage X, then the new value (after the increase) is given by:

A' = A*(1 + X/100%).

Here we know that the bill before the tax and the tip (it will be the initial value) is:

A = $11.85

And a sales tax of 3% is applied to that bill, then the new amount is:

A' = $11.85*(1 + 3%/100%)

A' = $11.85*(1 + 0.03) = $12.21

The sales tax is equal to the difference between the amount above and the initial value of the bill.

tax = $12.21 - $11.85 = $0.36

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Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

1. false

2. open

3. 5

hope dis helps

The length of section of pipe on the construction plan on conversion of units from feet to inches, 7 feet 5 1/8 inches will be 7.427 feet. On rounding off to the two places after decimal the length will be 7.43 feet.

We know that 1 foot = 12 inches. In order to convert feet into inches we'll multiply the given number by 12. Similarly to convert given inches to feet, we'll divide the given number by 12.

Here the length of pipe= 7 feet 5 1/8 inches

To convert 5 1/8 inches to feet: Divide by 12 {1 foot =12 inches}

                   =\(\frac{41}{8\\}\) ÷ 12

                   =\(\frac{41}{8}\) × \(\frac{1}{12\\}\)

5 1/8 inches =\(\frac{41}{96\\}\) feet

Now, 7 feet 5 1/8 inches = 7 feet + \(\frac{41}{96} \\\) feet

                                        = 7 feet + 0.4270 feet

                                        =7.4270 feet

                                        =7.43 feet

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The true statement about the parallelogram is (c) Yes, because adjacent sides are congruent.

Given that

Figure ABCD is a parallelogram

Such that

Side lengths = 5 cm

This means that

The figure is a square

As a general rule

All squares can be classified as rhombus

This is because a rhombus is a quadrilateral with all four sides of equal length and square is a type of rhombus in which all four sides are equal in length

Hence, the true statement is (c)

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Answer:

8400

Step-by-step explanation:

Round it 5 and above go up 4 and below go down

Answer:

8,400

Step-by-step explanation:

it says round to the nearest hundred to find the answer look at the number behind the place value you want to round.

5 and up you round the number higher

4 and down you round it lower.

example:

35 rounded to the nearest ten is 40

34 rounded to the nearest ten is 30

Answer:

The answer is below

Step-by-step explanation:

From the image attached, the coordinates of point A is at (2, -4).

Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.

If a point A(x, y) is reflected over the x axis, the new point is at  A'(x, -y)

If a point A(x, y) is translated a units right and b units down, the new location is at A'(x + a, y - b)

If a point A(x, y) is dilated by  factor of a, the new location is at A'(ax, ay)

If a point A(x, y) is  rotated 180° clockwise about the origin, the new location is at A'(-x, -y)

Hence:

For Quadrilateral ABCD is reflected over the x-axis, the coordinates of A' is at A'(2, 4)

For Quadrilateral ABCD is translated 2 units right and 1 unit down, the coordinates of A' is at A'(4, -5)

For Quadrilateral ABCD is dilated by a scale factor of 3, the coordinates of A' is at A'(6, -12)

For Quadrilateral ABCD is rotated 180° clockwise about the origin the coordinates of A' is at A'(-2, 4).

Answer:

the coordinates of point A is at (2, -4).

Step-by-step explanation:

 Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.If a point A(x, y) is reflected over the x axis, the new point is at  A'(x, -y)If a point A(x, y) is translated a units right and b units down, the new location is at A'(x + a, y - b)If a point A(x, y) is dilated by  factor of a, the new location is at A'(ax, ay)If a point A(x, y) is  rotated 180° clockwise about the origin, the new location is at A'(-x, -y)Hence:For Quadrilateral ABCD is reflected over the x-axis, the coordinates of A' is at A'(2, 4)For Quadrilateral ABCD is translated 2 units right and 1 unit down, the coordinates of A' is at A'(4, -5)For Quadrilateral ABCD is dilated by a scale factor of 3, the coordinates of A' is at A'(6, -12)For Quadrilateral ABCD is rotated 180° clockwise about the origin the coordinates of A' is at A'(-2, 4).

Answer:

These kind of problems  are super difficult Anna, don't feel bad for not getting this. there is a bunch of "implied" ideas here... i'll go over them below, maybe it will seem a bit easier.  if not, ask some more questions in the comments of this problem , I'll see the comments and answer your question

Step-by-step explanation:

the 1st implied idea is that there is 360 ° in a circle

next you have to know, that the angle x   is also matched on the interior of the circle where the line of the angle x, first touches the circle.  if that is confusing , don't worry i'll make a rough drawing to show you.  

so we can know that the arc from the point where the angle x makes the tanget.. or just touches the circle to where it's other leg crosses the circle the 1st time,  that's angle is equal to the arc that is left over from the total circle.  see this is very "implied"  nobody said.. by the way... it's 360 ° minus the other arcs.. well.. I just did.. but  you had to come up with that on your own, before I said that.

x =  left over arc

360 = 200 + 40 + x

120 = x

The sale price of the item when displayed on sales costs $8.75 based on the stated original price and percentage discount offered.

The formula to calculate sale price of the item according to discount and original price will be -

Sale price = 25% × original price

Keep the value of original price in the formula to find the sale price

Sale price = 25% × 35

Performing multiplication and division by solving the percentage on Right Hand Side of the equation to find the value of sale price of the item

Sale price = 8.75

Hence, the item on sale costs $8.75.

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The graph of an even function is symmetrical around the x-axis and the graph of an odd function is symmetrical around the origin.

The graph given does not fulfil neither of this conditions, hence we conclude that the function is neither even nor odd; therefore, the answer is C

answer/explanation:

hope this helps

Answer:

Step-by-step explanation:

angle S+angle T+angle+angle R=180 degree(being sum of interior angle of a triangle)

4x^2-6x+40+18x+3+2x^2-7=180

6x^2+12x+36=180

6(x^2+2x+6)=180

x^2+2x+6=180/6

x^2+2x+6=30

x^2+2x=24

x(x+2)=24

x+2=24/x

x=24/x-2

x=24-2x/x

substitute the value of x^2 in angle R

2x^2-7

2(24-2x/x)^2-7(here x and x gets cancel)

2(24-2)^2-7

2*22^2-7

2*484-7

968-7

961

Answer:

Step-by-step explanation:

angle S+angle T+angle+angle R=180 degree(being sum of interior angle of a triangle)4x^2-6x+40+18x+3+2x^2-7=1806x^2+12x+36=1806(x^2+2x+6)=180x^2+2x+6=180/6x^2+2x+6=30x^2+2x=24x(x+2)=24x+2=24/xx=24/x-2x=24-2x/xsubstitute the value of x^2 in angle R2x^2-72(24-2x/x)^2-7(here x and x gets cancel)2(24-2)^2-72*22^2-72*484-7968-7961

Answer:

1. 11 married females because out of the 19 married, only 8 had more than 15 years of service and 19 - 8 = 11.

2. 10 married males because of out the 18 married with more than 15 years of service, 8 were females and 18 - 8 = 10.

3. 9 single females because out of the 17 with more than 15 years of service, 8 were married and 17 - 8 = 9.

4. 8 married females because it literally says, "8 married female with more than 15 years of service".

gotta go hope this helps sry

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

y=-(x+11)(x-23)

Step-by-step explanation:

y=-(x+11)(x-23)

use the x intercepts they give you, and make it the opposite i.e. if it positive, then make it negative if it is negative make it positive

i.e. -11 equals 11

thus (x+11)

then, the graph is concave down, so it is negative at the front