Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4,9,14,...

Answer:

x = 2

Step-by-step explanation:

Inverse variation between x and y can be represented as:

xy = k

Where k is the constant of proportionality.

If x = 1 when y = 11, the constant of proportionality, k, would be:

1*11 = k

k = 11

To find x when y = 5.5, substitute y = 5.5 and k = 11 into xy = k

Thus:

x*5.5 = 11

Divide both sides by 5.5

x = 11/5.5

x = 2

Answer:

B

Step-by-step explanation:

MOVE TO THE RIGHT 9 TIMES!!

Answer:

4.15

Step-by-step explanation:

the radius is half the diameter so 8.3/2

=4.15mm

Answer:

4.15

Step-by-step explanation:

radius is the half of the diameter so 8.3/2 is 4.15

"The sum of two numbers is 20" can be translated mathematically into the equation:

x + y = 20.

"... and their difference is 10" can be translated mathematically as:

x - y = 10

We can now find the two unknown numbers, x and y, because we now have a system of two equations in two unknowns, x and y. We'll use the Addition-Subtraction Method, also know as the Elimination Method, to solve this system of equations for x and y by first eliminating one of the variables, y, by adding the second equation to the first equation to get a third equation in just one unknown, x, as follows:

Adding the two equations will eliminate the variable y:

x + y = 20

x - y = 10

-----------

2x + 0 = 30

2x = 30

(2x)/2 = 30/2

(2/2)x = 15

(1)x = 15

x = 15

Now, substitute x = 15 back into one of the two original equations. Let's use the equation showing the sum of x and y as follows (Note: We could have used the other equation instead):

x + y = 20

15 + y = 20

15 - 15 + y = 20 - 15

0 + y = 5

y = 5

CHECK:

In order for x = 15 and y = 5 to be the solution to our original system of two linear equations in two unknowns, x and y, this pair of numbers must satisfy BOTH equations as follows:

x + y = 20 x - y = 10

15 + 5 = 20 15 - 5 = 10

20 = 20 10 = 10

Therefore, x = 15 and y = 5 is indeed the solution to our original system of two linear equations in two unknowns, x and y, and the product of the two numbers x = 15 and y = 5 is:

xy = 15(5)

xy = 75

Answer:

C:4 cm, 8 cm, 5 cm

Step-by-step explanation:

sum of length of any two sides of a triangle will be larger than the third side.

Answer:

y = x - 3

Step-by-step explanation:

Slope = Rise / run

Slope = 4/4 = 1

y-intercept = -3

y = x - 3

Answer:

[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]

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

[tex] \displaystyle \angle2 + {86}^{ \circ} = {135}^{ \circ} [/tex]

cancel out 86° from both sides:

[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]

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:

6mi per 1.5h

Step-by-step explanation:

4miles per 1h

6miles per 1.5h

4×1.5=6

Answer:

The area of the trapezium is 18 ft²

Step-by-step explanation:

Given;

Two parallel sides of the polygon as  follows;

The first parallel side = 1 ft + 4 ft = 5 ft

The second parallel side = 4 ft

If this polygon is rotated 90 degrees, it forms a trapezium with a height of 4 ft.

The area of a trapezium is calculated as;

[tex]A rea= \frac{1}{2} (sum \ of \ parallel \ sides) \times height\\\\Area = \frac{1}{2} (5 \ + \ 4) \times 4\\\\Area = 18 \ ft^2[/tex]

Therefore, the area of the trapezium is 18 ft²

Answer:

66°

Step-by-step explanation:

When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:

mHJ = mKJ

and substitute:

x + 20 = 6x - 45

20 = 5x - 45

65 = 5x

x = 13

mHK is the sum of mHJ and mKJ, we can write mHK as the expression:

x + 20 + 6x - 45

7x - 25

We can substitute x:

7(13) - 25

91 - 25

66°

Answer:

Step-by-step explanation:

2 is the slo[pe:)

Answer:

[tex]x < - 7[/tex]

the answer is option C

Answer:

36 meters

Step-by-step explanation:

A square has equal side lengths, and a total of 4 sides, so

9 times 4 is equal to 36.

Remember your units!

Answer:

The null hypothesis is [tex]H_0: \mu = 13[/tex]

Step-by-step explanation:

Before a high-school football game the footballs were inflated to p = 13 psi (pounds per square inch).

This means that, as we are going to test the inflation levels before and after the game, we test at the null hypothesis that it is of 13 psi, that is:

[tex]H_0: \mu = 13[/tex]

Answer:

[tex]h=5.11ft[/tex]

Step-by-step explanation:

[tex]S=12+6+14/2=16[/tex]

[tex]area ~A= \sqrt{s(s-14)(5-12)(5-6)}[/tex]

[tex]area=\sqrt{16(16-14)(16-12)(16-6)}[/tex]

[tex]A=\sqrt{16×2×4×10}[/tex]

[tex]A=35.70[/tex]

[tex]A=1/2× base~×height[/tex]

[tex]35.70=1/2×14×h[/tex]

[tex]h=2×35.75/14[/tex]

[tex]h=5.11ft[/tex]

｡･:*:･ﾟ★,｡･:*:･ﾟ☆

hope it helps...

have a great day!!

Answer:

A

Step-by-step explanation:

Answer:

it is A because the shape is the same and is just facing a different way

Step-by-step explanation:

Answer:

As points, A and B move, the slope of the two lines change but remain equal to each other. As point C moves, the slope does not change but remains equal to each other since the line through C is drawn parallel to AB.

I can canclude that slope of any two parallel lines are equal

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

5 hours - 100%

1 hour - 100/5 = 20%

3 hours - 20 x 3 = 60%

Answer:

4.54

Step-by-step explanation:

Answer:

I'm sorry I just need points

Step-by-step explanation:

Answer:

4 children

Step-by-step explanation:

Let the number of children = c.

The cost of the pizza place for c children (without the fee) = 8c

The cost of the pizza place for c children (with the fee) = 8c+30

The cost of the taco place for c children (without the fee) = 12c

The cost of the taco place for c children (with the fee) = 12c+14

To find c when the totals are equal, set 8c+30 equal to 12c+14 and solve:

8c+30=12c+14

8c-12c=14-30

-4c=-16

c=4

Answer:

The margin of error is multiplied by 4.

Step-by-step explanation:

Margin of error is:

[tex]M = \frac{zs}{\sqrt{n}}[/tex]

In which z is related to the confidence level, s is elated to the standard deviation and n is the sample size.

From this, we have that the standard deviation is inversely proportional to the square root of the sample size.

If you cut the sample size in half:

The margin of error is inversely proportional to the square root of the sample size, so if you cut the sample size by [tex]\frac{1}{2}[/tex], the margin of error will be multiplied by [tex]2^2 = 4[/tex]

So

The margin of error is multiplied by 4.

Answer:

G. 25%

Step-by-step explanation:

given : The price of a video game was reduced from $60 to $45 .

$60 - $45 = $15

then, the percentage was the price of the video game reduced :-

reduction in price/previous price x 100 = 15/60 x 100 = 25%

the percentage was the price of the video game reduced = 25%

Answer:

sorry can'thelp

Step-by-step explanation:

Answer and explanation:

I would characterize the relationship as a positive correlation. I would probably give it a 0.7, which means that the correlation is relatively strong. Also, this is an example of correlation, not causation, because there is not scientific proof that doing homework more will cause better grades. Hope this helps!

Answer:

I think 12 is 5he right answer

Answer:

The standard error of the sample proportion is 0.0993.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

73% of voters support it.

This means that [tex]p = 0.73[/tex]

Sample of 20 voters

This means that [tex]n = 20[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.73[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.73*0.27}{20}} = 0.0993[/tex]

The standard error of the sample proportion is 0.0993.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is

12/20 = 0.6, so this is the p-value of Z when X = 0.6.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.6 - 0.73}{0.0993}[/tex]

[tex]Z = -1.31[/tex]

[tex]Z = -1.31[/tex] has a p-value of 0.0951.

So

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.

The standard error of the sample proportion is 0.0098.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951

Given that,

Suppose that there is a school bond referendum in Greensboro, and 73% of voters support it.

You randomly ask 20 Greensboro voters whether they support the bond referendum.

We have to determine,

The standard error of the sample proportion is.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is .

According to the question,

There is a school bond referendum in Greensboro, and 73% of voters support it.

20 Greensboro voters whether they support the bond referendum.

[tex]standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}[/tex]

Where, p = 73% = 0.73

And n = 20

Therefore,

[tex]Standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}\\\\ Standard \ deviation = \sqrt{\dfrac{0.73(1-0.73)}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.73\times 0.27}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.19}{20}}\\\\Standard \ deviation = 0.0098[/tex]

The standard error of the sample proportion is 0.0098.

[tex]\dfrac{12}{20 }= 0.6[/tex]

 This is the p-value of Z when X = 0.6.

Therefore,

[tex]Z = \dfrac{X-\mu}{\sigma}\\\\Z = \dfrac{0.6-0.73}{0.993}\\\\Z = -1.31\\\\[/tex]

Z = -1.31 has a p-value of 0.0951.

Hence, The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.

To know more about Probability click the link given below.

https://brainly.com/question/24248147