Linear Sequences
Please help with this question
Put either a,b,c,d
It is on linear sequences
35 points up for grabs

Answer:

4/9

Step-by-step explanation:

When you square an entire fraction, both the numerator and detonator get squared as well.

Answer:

its too simple see

\( (\frac{2}{3} ) {}^{2} = \frac{2 {}^{2} }{3 {}^{2} } = \frac{2 \times 2}{3 \times 3} = \frac{4}{9} \\ \)

hope it help.......(•‿•)

I hope this helps you .

By meeting these conditions, you can construct a valid and useful confidence interval when working with a sample size of 18.

To create a confidence interval when the sample size (n) is 18, it is essential for the data to meet certain conditions. Here's a summary of the requirements:

1. Distributed normally: The data should follow a normal distribution, which is characterized by a bell-shaped curve. This condition is necessary to apply the central limit theorem and calculate the confidence interval accurately.

2. Accurate: The data should be collected in a reliable and unbiased manner to ensure that the confidence interval reflects the true population parameter.

3. Theoretically determined: The confidence level (e.g., 95% or 99%) should be predetermined, as it affects the width of the interval and helps you understand the degree of certainty about the population parameter.

4. Not spread too wide: The data should have a reasonable amount of variability, as extremely wide ranges can affect the precision of the confidence interval and make it difficult to draw meaningful conclusions.

By meeting these conditions, you can construct a valid and useful confidence interval when working with a sample size of 18.

to know more about sample size click here:

https://brainly.com/question/30546011

#SPJ11

The labeled points are (-2, 1), values into the Point-slope form  y - 1 = -2(x + 2).

The equation of the line in point-slope form, we need to use the slope-intercept form of a line, which is given by:

y - y₁ = m(x - x₁)

Where (x₁, y₁) represents the coordinates of a point on the line, and m is the slope of the line.

In this case, the given slope is -2, and the labeled point is (-2, 1). Substituting these values into the point-slope form, we have:

y - 1 = -2(x - (-2))

Simplifying further:

y - 1 = -2(x + 2)

To know more about Point-slope form.

https://brainly.com/question/6497976

#SPJ11

The surface area of a cylinder is 42π cm².

It is given that the formula for the surface area of cylinder is: 2πr(r + h)

where,

r = 3cm (radius of the cylinder)

h = 4cm (height of the cylinder)

Surface area of cylinder = 2π × 3 × (3 + 4)

= 2π × 3 × 7

= 2π × 21

= 42π cm²

So, the correct option is fourth, 42π cm².

For similar question, visit here:

https://brainly.com/question/76387

#SPJ4

Answer:

I believe the answer to be 61

Step-by-step explanation:

180-58=122

122÷2=61

Answer:

$40

Step-by-step explanation:

Brian starts at $100, then loses 1/4th of the money,

100/4 = 25,

then you subtract 25 from 100, which gives you 75

With the remaining $75, he spends $15 on girl scout cookies,

75 - 15 = 60

He then has $60 remaining, but while walking home, loses 1/3 of the total amount.

60/3 = 20,

you then subtract 20 from 60, which gives you 40

Therefore, $40 is what is remaining.

Answer:

selling 36 muffins at a discount rate of 10% off the original price

Step-by-step explanation:

The correct equation is: c = (1/4) m + 15, 0 ≤ m ≤ 44,640

What is slope of a line?

The slope of a line characterizes the direction of a line.

We can use the two given points to find the slope of the line:

slope = (change in y) / (change in x) = (25-15) / (40-0) = 10/40 = 1/4

So we know that the equation of the line can be written in the form:

c = (1/4) m + b

where b is the y-intercept of the line. We can use the point (0,15) to find the value of b:

15 = (1/4)(0) + b

b = 15

Therefore, the equation of the line is:

c = (1/4) m + 15

This equation represents the phone company's monthly charges for any number of minutes used between 0 and 44,640. Therefore, the correct equation is: c = (1/4) m + 15, 0 ≤ m ≤ 44,640

To know more about slope of a line visit,

https://brainly.com/question/16949303

#SPJ1

Answer:

Step-by-step explanation:

A function can only have one y value for any given x value. If there is more than one value of y for a single x value it is said to have failed the ‘vertical line test.

Since there are points (-7,8) and (-7,-3) this is NOT a function.

The five number summary for

(a) 0,2,2,4,5,5,5,5,7,11 is minimum=0  , median=5 ,maximum=11 ,Q₁=2 ,Q₃=5  .

(b) 2,2,4,5,5,5,5,7,11 is minimum=2 ,median=5 ,maximum=11 ,Q₁=3 ,Q₃=6 .

Median is defined as the center value of the data.

Part(a)

In the given question

the data is 0, 2, 2, 4, 5, 5, 5, 5, 7, 11

(i)the minimum of the data is 0

(ii) maximum of the data is 11.

(iii) median of the data is 5.

(iv)Q₁ = median of the lower half 0,2,2,4,5 is 2.

(v)Q₃ = median of the upper half 5,5,5,7,11 is 5.

Part (b)

after removing minimum 0 the data becomes 2,2,4,5,5,5,5,7,11

(i)the minimum of the data is 2

(ii) maximum of the data is 11.

(iii) median of the data is 5.

(iv)Q₁ = median of the lower half 2,2,4,5 is 3.

(v)Q₃ = median of the upper half 5,5,7,11 is 6.

Therefore , the five number summary for

(a) 0,2,2,4,5,5,5,5,7,11 is minimum=0 ,median=5 ,maximum=11 ,Q₁=2  ,Q₃=5  .

(b) 2,2,4,5,5,5,5,7,11 is minimum=2 ,median=5 ,maximum=11 ,Q₁=3 ,Q₃=6 .

Learn more about five number summary here

https://brainly.com/question/28553799

#SPJ1

Answer: x=3 ; y=13

Step-by-step explanation:

1. isolate y from equation to substitute into the second equation

y= 16-x ---> (16-x) = 3x+4

2. move to one side and solve for x

4x=12 --> x=3

3. plug in x value to solve for y

3+y=16 or 3(3)+4

y=13

The equation of the tangent line to the curve y = 6x sin(x) at the point (2, 3) is y = (12cos(2) + 6sin(2))(x - 2) + 12sin(2)

To find the equation of the tangent line to the curve y = 6x sin(x) at the point (2, 3), we need to find the slope of the tangent line and the coordinates of the point of tangency.

Let's start by finding the slope of the tangent line. The slope of the tangent line at a given point on a curve can be found using the derivative of the function.

This can be done by taking the derivative of y = 6x sin(x)  

To find the derivative, we can use the product rule and the chain rule. The derivative of 6x is 6, and the derivative of sin(x) is cos(x).

Applying the product rule, we get:

dy/dx = 6x × cos(x) + 6 × sin(x)

Now we can evaluate the derivative at x = 2 to find the slope of the tangent line at the point (2, 3):

dy/dx = 6(2) × cos(2) + 6 × sin(2)

= 12cos(2) + 6sin(2)

Next, we need to find the y-coordinate of the point of tangency,

which is y = 6(2) sin(2):

=> y = 12sin(2)

So the point of tangency is (2, 12sin(2)).

Now we have the slope of the tangent line (dy/dx) and a point on the line (2, 12sin(2)). We can use the point-slope form of a line to find the equation of the tangent line:

=> y - y₁ = m(x - x₁)

Plugging in the values, we have:

y - 12sin(2) = (12cos(2) + 6sin(2))(x - 2)

Expanding and rearranging the equation, we can find the final form of the equation of the tangent line:

y = (12cos(2) + 6sin(2))(x - 2) + 12sin(2)

Therefore,

The equation of the tangent line to the curve y = 6x sin(x) at the point (2, 3) is y = (12cos(2) + 6sin(2))(x - 2) + 12sin(2)

Learn more about Tangent lines at

https://brainly.com/question/28754280

#SPJ4

Answer:

y= 1/4x - 1

Step-by-step explanation:

it passes through the points (-4,-2) and it is parallel to the line 1/4x+3

The possible data in the question does not provide sufficient evidence available to support the alternative hypothesis that there is a difference between Mr. Starnes and Ms. McGrail's AP Statistics classes and Mr. Starnes did not stack the class.

In statistics, a hypothesis test is the performance of a test on an assumption made about a population parameter.

The possible data in the question, obtained from a similar online question, using MS Excel, indicates;

The mean of the Starnes GPA ≈ 3.212867

The standard deviation of Starnes GPA ≈ 0.364249

Mean of McGrail GPA ≈ 3.134722

The standard deviation of McGrail's GPA ≈ 0.357995

The null hypothesis is H₀: μ₁ - μ₂ = 0

The alternative hypothesis is Hₐ: μ₁ - μ₂ ≠ 0

The test statistic is found using the following formula;

\(t_0 = \dfrac{(\overline{x_1} - \overline{x_2})-(\overline{\mu_1}-\overline{\mu_2})}{\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2} } }\)

The decision rule is obtained with α = 0.05 and the null hypothesis is rejected t₀ ≤ -1.96 or t₀ ≥ 1.96

Therefore, we get;

\(t_0 = \dfrac{(3.212867 - 3.134722)-0}{\sqrt{\dfrac{0.364249^2}{15}+\dfrac{0.357995^2}{18} } } \approx 0.618\)

The parameter for the degrees of freedom is 15 - 1 = 14

The critical value obtained from the t-table, at t.₉₅ is 1.761 which is larger than 0.618, therefore, we fail to reject the null hypothesis, and the evidence is insufficient to suggest that there is a difference in the average score of the two AP Statistics classes.

Taking the variance to be the same, we get;

\(S_p^2= \dfrac{(n_1-1)\cdot s_1^2+(n_2-1)\cdot s_2^2}{n_1+n_2-2}\)

Therefore;

\(S_p^2= \dfrac{(15-1)\times 0.364249^2+(18-1)\times 0.357995^2}{15+18-2}\approx 0.1302\)

\(t_0 = \dfrac{(\overline{x_1} - \overline{x_2})-(\overline{\mu_1}-\overline{\mu_2})}{\sqrt{s_p^2 \times\left(\dfrac{1}{n_1}+\dfrac{1}{n_2} }\right) }\)

\(t_0 = \dfrac{(3.212867 - 3.134722)-0}{\sqrt{0.1302\times \left(\dfrac{1}{15}+\dfrac{1}{18} }\right) } \approx 0.6195\)

df = 15 + 18 - 2 = 31

From the t-table, the critical value is about 1.697, which is larger than 0.6195, therefore, the null hypothesis cannot be rejected and the evidence available is not enough to suggest that there is a difference between the grade point averages of Mr. Starnes and Ms. McGrail AP Statistics classes and Mr. Starnes did not stack the class

Learn more on hypothesis testing here: https://brainly.com/question/14042255

#SPJ1

The equations are solved to w = 0 and z = -2. Option B

From the information given, we have the simultaneous equations as

3w-4z=8

2w+3z=-6

Make w the subject from equation 1

w = 8 + 4z/3

Substitute the value into equation 2, we have that;

2(8 + 4z/3) + 3z = -6

expand the bracket, we get;

16 + 8z/3 + 3z = -6

find the LCM, we have;

16 + 8z + 9z/3 = -6

cross multiply

16 + 17z = - 18

add the values

19z = -34

Make 'z' the subject

z =-2

Substitute the value

3w - 4z = 8

3w = 8 - 8

w = 0

Learn about simultaneous equations at: https://brainly.com/question/16863577

#SPJ4

Answer:

The equation representing the relationship is;

Amount charged to work a dog once a day = $1.25 * Number of days

Step-by-step explanation:

Here, we want to find the equation representing the relationship between the charges and the number of days

Firstly, he charges $6.25 to walk a dog a day for 5 days, the amount charged per day will be $6.25/5 = $1.25

For the 7 days, amount charged = 8.75/7 = $1.25

This means he charges an amount of $1.25 to walk a dog once a day

The equation that represents the relationship is thus;

Amount charged = $1.25 * Number of days

Answer:

42 veya 36........olması gerekir

Its A

Because

a

is

right

Answer:

\(2\sqrt10\)

6.3 to the nearest 10th

Step-by-step explanation:

Hope this helped :)

According to the given statement The total far distance = 88.2cm

A lens equation, sometimes known as a lens formula, is an equation that connects focal length, image distance, as well as object distance. . where v is the distance between the picture and the lens, u is the object distance, and f is the focal length

A lens's power is defined as both the reciprocal of its focal length. It is symbolized by that the letter P. P=1f gives the power P of something like a lens with a focal length of f (in m). The SI unit of lens power is a 'diopter.'

P = -1.16

The expression of the focal length is represented as:

f = 1/p

p is the power.

so,

f = 1/-1.16

 = -0.862

 = -86.2 cm

the expression for the lens formula is:

1/f = 1/v - 1/u

1/(-86.2) = 1/v - 0

v = -86.2

The total distance is represent as:

d = v + s

so,

d = 86.2 + 2

  = 88.2 cm

The total far distance = 88.2cm.

To know more about focal length  visit:

https://brainly.com/question/16188698

#SPJ4

Answer:

The expression (8-i)/(2+i) in standard form is, 3 - 2i

Step-by-step explanation:

The expression is,

(8-i)/(2+i)

writing in standard form,

\((8-i)/(2+i)\\\)

Multiplying and dividing by 2+i,

\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)

Hence we get, in standard form, 3 - 2i

The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.

The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:

(8-i)/(2+i) * (2-i)/(2-i)

Using the distributive property, we can expand the numerator and denominator:

(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))

Simplifying further:

(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)

Since i^2 is equal to -1, we can substitute -1 for i^2:

(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))

Combining like terms:

(15 - 10i) / (3 + 4i)

Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

About complex numbers here:

https://brainly.com/question/20566728

#SPJ11

In the given case, the strength of evidence against the null hypothesis is less than 0.1.

A hypothesis is a theory put up to explain a phenomenon. A hypothesis must be verifiable as per scientific method for it to be considered a scientific hypothesis. Scientists typically build their scientific ideas on prior observations that cannot be adequately explained by the current body of knowledge.

Null Hypothesis = H0 = The mean age of students is equal to 19.

Alternative Hypothesis = H1 = The mean age of students is significantly different from 19.

Expressing it symbolically -

H0: u = 19

H1: u ≠ 19

The alternative hypothesis argues that the mean age of the students is different from 19, while null hypothesis assumes that mean age of the students is exactly 19. The null hypothesis would be rejected in favour of the alternative hypothesis if the p-value, which gauges the strength of evidence against it, is less than 0.1, according to the significance threshold of 0.1.

Read more about hypothesis on:

https://brainly.com/question/26185548

#SPJ4

Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.

For the simple interest option, the interest is calculated using the formula:

I = P * r * t

Where:

I is the total interest earned

Using the given values, we can calculate the interest earned with simple interest:

I = 3000 * 0.03 * 7
I = 630

Now, let's calculate the total amount earned with the compound interest option.

Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:

r = 0.03/12

t = 7 * 12

Using these values, we can calculate the total amount with compound interest:

\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)

A ≈ 3,729.19

To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:

Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19

Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

Learn more about compound interest visit:

brainly.com/question/14295570

#SPJ11

Answer:

m =6/2, n = π/2

m = 6/5, n =√2

Step-by-step explanation:

Answer:

C-All real numbers less than or equal to 40

Step-by-step explanation:

none of the other answers make any sense