fine the nth term of 11,13,15,17

Answer:

  Option 3: y = 1/3x +67

Step-by-step explanation:

You want the equation of the best-fit line in slope-intercept form for the data given.

The attached calculator display shows the best-fit line for the data, where x is in minutes, is approximately ...

  y = 0.41x + 64

The closest answer choice is ...

  Option 3: y = 1/3x +67

__

Additional comment

The second attachment shows a plot of the data (study minutes, test score) with the best-fit line in red, and the Option 3 line in blue.

<95141404393>

The type of test used in this problem is given as follows:

1 proportion z test.

At the null hypothesis, we consider if there is not enough evidence to conclude that the mean is different of 0.55, hence:

[tex]H_0: p = 0.55[/tex]

At the alternative hypothesis, we test if there is enough evidence to conclude that the mean is different of 0.55, hence:

[tex]H_a: p \neq 0.55[/tex]

We are testing a proportion, hence the z-distribution is used, thus the correct option is given as follows:

1 proportion z test.

(in the case of a proportion, a z test is used, for sample means that we can use either z test or t test depending on the problem).

More can be learned about the test of an hypothesis at https://brainly.com/question/15980493

#SPJ1

The number of tiles that would be grey tiles out of the total tiles given would be = 28 tiles.

To calculate the number of grey tiles, the total number of tiles given should be divided into two since the path is made up of only white and grey tiles.

The total number of tiles = 56 tiles.

Therefore the grey and the white tiles have the same number of tiles = 56/2 = 28 grey tiles

Learn more about division here:

https://brainly.com/question/28768606

#SPJ1

The intensity of the Gansu earthquake was approximately 39,811 times greater than that of an earthquake measuring 4 on the Richter scale, which typically causes no damage.

Let's compare the intensities of the two earthquakes using the Richter scale.
Step 1: Understand that the Richter scale is logarithmic, which means each whole number increase represents a tenfold increase in intensity.
Step 2: Determine the difference between the magnitudes of the two earthquakes. The Gansu earthquake measured 8.6, and the earthquake causing no damage measured 4.
8.6 - 4 = 4.6
Step 3: Calculate the intensity ratio between the two earthquakes using the difference in magnitudes. Since each whole number increase represents a tenfold increase in intensity, we need to raise 10 to the power of the difference.
10^4.6 ≈ 39,810.71705535
Step 4: Round the result to a whole number.
39,810.71705535 ≈ 39,811
The intensity of the Gansu earthquake was approximately 39,811 times greater than that of an earthquake measuring 4 on the Richter scale, which typically causes no damage.

For more such questions on measuring , Visit:

https://brainly.com/question/1578168

#SPJ11

The required solution with the concern of mortgage has been shown below.
$695.67, $250,441.20, $783.93, $235179, and $15262.2.

Using the formula for the monthly payment of a mortgage:

[tex]P = L[c(1 + c)^n]/[(1 + c)^n - 1][/tex]

Here P is the monthly payment, L is the loan amount, c is the monthly interest rate, and n is the total number of payments (in this case, 30 years = 360 months).

Plugging in the values given:

L = 160000

c = 0.033/12 (monthly interest rate)

n = 360

P = 695.67

So the monthly payment is $695.67.

To find out how much will be paid in total over 30 years, we can multiply the monthly payment by the total number of payments:

Total payments = P * n = $695.67 * 360 = $250,441.20

So the total amount paid to the bank for the home over 30 years is $250,441.20.

To calculate the new monthly payment for a 25-year loan, we can use the same formula but with n = 25*12 = 300 months:

P = 160000[(0.033/12)(1 + (0.033/12))^300]/[(1 + (0.033/12))^300 - 1]

P = $783.93

So the new monthly payment for a 25-year loan is $783.93.

The total amount paid over 25 years would be:

Total payments = P * n = $783.93 * 300 = $235179

So the total amount paid to the bank for the home over 25 years is $235179.

The amount saved by reducing the time of the mortgage loan is the difference between the total amount paid for the 30-year loan and the total amount paid for the 25-year loan:

Savings = $250,441.20 - $235179 = $15262.2

So the amount saved by reducing the time of the mortgage loan is $15262.2.

Learn more about mortgages here:

https://brainly.com/question/31751568

#SPJ1

The correct statement is:

"Divide out a common factor of x - 7." The limit of the given expression is 1/6.

Multiply by (√(x + 2) + 3)/(√(x + 2) + 3):

This statement is not correct.

We generally multiply by the conjugate of the expression to eliminate square roots, but in this case, multiplying by (√(x + 2) + 3)/(√(x + 2) + 3) does not help simplify the expression.

Get x - 1 in the numerator:

This statement is not correct. The expression does not involve x - 1 in the numerator.

Get (x - 7)(√(x + 2) - 3) in the denominator:

This statement is not correct. We want to simplify the expression, not introduce a more complex denominator.

Divide out a common factor of x - 7:

This statement is correct. By factoring out (x - 7) from both the numerator and denominator, we can cancel out the common factor.

Calculate the limit as 1/6:

This statement is not correct. We need to perform further simplification to determine the limit.

After canceling out the common factor of x - 7, the simplified expression becomes:

lim x -> 7 (√(x + 2) - 3)/(x - 7) = lim x -> 7 1/(√(x + 2) + 3)

To find the limit, we substitute the value x = 7 into the simplified expression:

lim x -> 7 1/(√(7 + 2) + 3) = 1/(√(9) + 3) = 1/(3 + 3) = 1/6

Therefore, the correct statement is: "Divide out a common factor of x - 7." The limit of the given expression is 1/6.

Learn more about limit here:

https://brainly.com/question/12207539

#SPJ1

The amount that the jeweler would charge Mrs. Luisa, given the prices of the successive jewelry would be $ 19, 680

The charge for repairing the jewelry pieces is calculated in a geometric progression:

= 6, 63, 63 ², 63 ³, ..., 63 ⁷

The sum of the first n terms in such a progression is:

S = a x (r ⁿ - 1) / ( r - 1 )

Seeing as there are 8 pieces of jewelry, the total cost to Mrs. Luisa would be:

S = 6 x ( 3 ⁸  - 1) / ( 3 - 1 )

S = 6 x ( 6561 - 1 ) / 2

S = 6 x 6560 / 2

S = 3 x 6560

S = $ 19, 680

Find out more on geometric progression at https://brainly.com/question/30303755

#SPJ9

if y varies inversely as the same of x, and y=7/4 when x = 1 then value of y is 7/12 when x=3

If y varies inversely as the same of x, we can write the equation:

y = k / x

where k is the constant of proportionality.

Let us find the value of constant of proportionality k:

y = 7/4 when x = 1

7/4 = k / 1

Apply cross multiplication we get:

7/4 = k

k=7/4

Now plug in the value of k to find y when x = 3:

y = k /x

y = (7/4) / 3

When a fraction is divided by the whole number then fraction is multiplied with reciprocal of the whole number.

y=7/4×1/3

Multiply the numerators and denominators.

y=7×1/4×3

We know that 7×1  is 7 and 4×3 is 12.

y=7/12

To learn more on Ratios click:

https://brainly.com/question/13419413

#SPJ1

Answer:

63

Step-by-step explanation:

b x h = A

9 x 7 = 63

The whole number for "forty-two thousand, fifteen" is 42,015.

We have, "forty-two thousand, fifteen".

To write a sentence as a whole number using digits, you would typically replace the words with their numerical representations. Here's an example:

Sentence: "I have three apples and four bananas."

Whole number: "I have 3 apples and 4 bananas."

Here the numeric terms are forty- thousand and fifteen then the numerical digit will be

= 42, 015.

Learn more about Digit here:

https://brainly.com/question/29102046

#SPJ1

Answer:

slope = [tex]\frac{5}{9}[/tex] , y- intercept = - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

5x - 9y = 45 ( subtract 5x from both sides )

- 9y = - 5x + 45 ( divide through by - 9 )

y = [tex]\frac{-5}{-9}[/tex] x + [tex]\frac{45}{-9}[/tex] , that is

y = [tex]\frac{5}{9}[/tex] x - 5 ← in slope- intercept form

with slope m = [tex]\frac{5}{9}[/tex] and y- intercept c = - 5

Answer:

-------------------

As per definition, the cosine function is:

Since triangles are similar, the ratio of corresponding sides is same:

The measure of Angle YEA is 70 degrees in the given parallelogram

Given Parallelogram EASY with diagonal ES

∠AES = 40

∠Y = 110

∠ESY = 40   by  Z theorem of a parallelogram

∠A = ∠Y  by property of parallelogram

∠A = <110  as ∠Y=110

∠YES = 180 - ∠Y  

∠YES = 180 - 110 - 40  

∠YES = 30

∠YEA = ∠YES + ∠AES  

∠YEA = 30 + 40            

∠YEA = 70

Hence, the measure of Angle YEA is 70 degrees

To learn more on Angles click:

https://brainly.com/question/28451077

#SPJ1

Answer:50

Step-by-step explanation:

Answer:

1 1/5 = 6/5

1 1/3 = 4/3

Step-by-step explanation:

hope this helps, if you’re looking for 1 1/5 + 1 1/3 please tell me and I will solve that for you

The maximum distance of the fire engine from the school is D = 4.5 miles

Given data ,

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

Given data ,

Let the first point be P = P ( -4 , -3 )

Let the second point be Q = Q ( -7 , -3 )

First distance D₁ = √ ( -4 + 7 )² + ( -3 + 3 )

D₁ = √9

D₁ = 3 units

Now , each unit on the grid represents 1/2 mile

And , the distance from P to school is S ( -4 , 3 )

D₂ = √ ( -4 + 4 )² + ( -3 - 3 )²

D₂ = √36

D₂ = 6 units

So , the total distance D = 3 + 6 = 9 units

And , the distance in miles = 9/2 = 4.5 miles

Hence , the distance is 4.5 miles

To learn more about distance between 2 points click :

https://brainly.com/question/18234495

#SPJ1

The complete question is attached below :

A fire engine takes the shortest possible route when it drives from the firehouse to one of the schools. The route can go only horizontally and vertically on the grid. Each unit on the grid represents 1-half mile. What is the maximum distance, in miles, the fire engine travels to reach one of the schools?

Answer:

24.6%

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

n = 9, r = 4, p = 0.5

P = ₉C₄ (0.5)⁴ (1−0.5)⁹⁻⁴

P = 126 (0.5)⁴ (0.5)⁵

P ≈ 0.246

Answer:

She spends 70 minutes in total or 1h 10min

PLEASE MARK IT THE BRAINLIEST!!!!!

Answer:90

Step-by-step explanation:

The correct variables which are continuous are,

1. Length of a frog's jump.

2. Monthly TV cable bills.

3. Lottery revenues of states.

4. Number of wheels of a car.

We have to given that;

To find correct variables which are continuous.

Since, The number of wheels of a car is a discrete variable, because it can only take certain integer values (2, 3, 4, etc.), while the other variables can take any real value within a certain range.

Hence, The correct variables which are continuous are,

1. Length of a frog's jump.

2. Monthly TV cable bills.

3. Lottery revenues of states.

4. Number of wheels of a car.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

x<-12 or x>16

Step-by-step explanation:

Answer:

|x - 2| + 3 > 17

|x - 2| > 14

x - 2 < -14 or x - 2 > 14

x < -12 or x > 16

Answer:

0.66

Step-by-step explanation:

please read attachments

Since the average rates of change of f and g cannot be determined from the given information provided.

We can find the average rate of change of function f over the interval [-6, -3) as:

The average rate of change of f;

= (f (6) - f (3)) / (6 - 3)

= (71 - 59) / 2 = 6

We have the two given points to set up equations:

-53 = a(3)^b - 41

-53 = a(5)^b - 41

0 = a(3^b - 5^b)

Since 3^b ≠ 5^b, we must have a = 0, that means g is not a valid exponential function passing through the given points.

Therefore,

We can conclude, that the average rates of change of f and g cannot be determined.

Learn more about functions here:

brainly.com/question/28533782

#SPJ1

the volume of a prism is

length × width × height

so, for the small prism we have

5 × 4 × height = 100 in

height = 100/20 = 5 i

for the large prism we have

5 × 4 × height = 200 in³

height = 200/20 = 10 in

the larger prism is 10/5=2 times taller than the small prism.

Read more on Brainly.com - https://brainly.com/question/26071165#readmore

The required exact values of a and b are 7 / 2 and 7√3/2 respectively. Option A is correct.

A triangle ABC is given with measures,
AB = 7, BC = a, and AC = b. Also, angle A is 30°.

To find out the missing measures, we need to apply the trigonometric ratio.

sinA = BC/AB
sin30 = a/7
1/2=a/7
a = 7 / 2

Similarly,
cosB = AC/AB
cos30 = b/7
√3/2 = b/7
b = 7√3/2

Thus, the required exact value of a and b are 7 / 2 and 7√3/2 respectively. Option A is correct.

Learn more about the trigonometric ratio here:

https://brainly.com/question/22542004?referrer=searchResults

#SPJ1

The derivative of the function is f' ( x ) = 9 / ( 4 + 3x ) ( ln 2 )

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = log₂ ( 3x + 4 )³

On simplifying , we get

On taking the derivative of the function , we get

f' ( x ) = d/dx ( log₂ ( 3x + 4 )³ )

d/dx ( log₂ ( 3x + 4 )³ ) = 1/ ln ( 2 ) [ d/dx( 3x + 4 )³ ]

On applying chain rule , we get

f' ( x ) = 1/ ln ( 2 ) 1/( 3x + 4 )³ ( 9 ( 3x + 4 )² )

So , cancelling out the similar terms , we get

f' ( x ) = 9 / ( 4 + 3x ) ( ln 2 )

Hence , the derivative is f' ( x ) = 9 / ( 4 + 3x ) ( ln 2 )

To learn more about derivative of a function click :

https://brainly.com/question/29005833

#SPJ1