1
Which expression is equivalent to (5³)⁹?
A 53+9
B 53x9
©5³ +5⁹
5³ x 5⁹

The linear regression model that best fits the data in the table is Oy = 4.984x - 5.634.

The given data points are: X y O 2 1 7 2 10.2 3 14 17.9

To find the linear regression model that best fits the data in the table, we use the formula for the slope and y-intercept.

b = [nΣxy - ΣxΣy] / [nΣx² - (Σx)²]a = [Σy - bΣx] /n

Substitute the given values in the above formula to get the slope and y-intercept.

b = [4(2)(1) + 3(2)(10.2) + 14(3)(17.9)] / [4(2²) + 3(2) + 14(3²)]

b = 4.984a = [1 + 10.2 + 17.9 + 14]/4 - 4.984(2.5)a = -5.634

where x and y are the data points. n is the total number of data points.

Σxy means the sum of products of corresponding values of x and y.

Σx and Σy are the sums of values of x and y, respectively.

Σx² means the sum of squares of the values of x.

Therefore, the linear regression model that best fits the data in the table is

Oy = 4.984x - 5.634.

To know more about the linear regression visit:

https://brainly.com/question/30401933

#SPJ11

Check the picture below.

so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.

\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)

Answer:

NO

1,2,3,6

Step-by-step explanation:

THOSE ARE CORRECT

√8=2.8

Answer:

c

Step-by-step explanation:

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

Read more about fraction

brainly.com/question/17220365

#SPJ1

Answer:

The answer would be

22 Rs

44 Rs

110 Rs

Step-by-step explanation:

5 litres : 55 Rs

2 litres : y1

y1=2*55/5=22 Rs

4liters : y2

y2=4*55/5=44 Rs

10 litres : y3

y3=10*55/5 =110Rs

Answer: 2

Step-by-step explanation:

2

74:  2 37

154:  2711

GCF:2

The probability of obtaining exactly three of the same result when flipping a fair coin four times in a row is 0.25.

Let's calculate the probability of getting the same outcome when flipping a fair coin n times in a row.

Meaning of a fair coin:

A coin is known as a fair coin if it has two sides and there is an equal probability of both sides appearing.

In other words, the probability of each side appearing is 0.5, implying that there is a 50 percent chance of it appearing.

The total number of outcomes that can be obtained when a fair coin is flipped n times in a row is 2n.

The total number of possible outcomes in this scenario is 2n.

Let's look at the likelihood of obtaining the same result when flipping a fair coin n times in a row.

The probability of obtaining the same result when flipping a fair coin n times in a row is:

P(H) = probability of getting a head P(T) = probability of getting a tail.

The probability of obtaining the same outcome when flipping a fair coin n times in a row is : P(HH...H) + P(TT...T) = (0.5)n + (0.5)n

= 2(0.5)n

= 2n-1.

For n = 4, P(HH...H) + P(TT...T)

= (0.5)4 + (0.5)4

= 0.0625 + 0.0625

= 0.125, or 1/8.

Exactly k outcomes are expected to occur with a probability of (n choose k) x (1/2)k x (1/2)n-k.

The probability of obtaining exactly k results when flipping a fair coin n times in a row is calculated using this formula.

Let's look at the probability of obtaining exactly k outcomes when flipping a fair coin n times in a row.

This is the binomial distribution formula.

P(X=k) = \((nCk)*(p^k)*((1-p)^(n-k)),\) here p=0.5 as it's a fair coin.
Where, n = the number of coin flips
p = probability of getting the same result in each flip (0.5 for a fair coin)
k = number of times the same result is obtained

For k=3, the probability is : \(P(X=3) = (nCk)*(p^k)*((1-p)^(n-k))P(X=3)\)

\(= (4C3)*((0.5)^3)*((1-0.5)^(4-3))=4*0.125*0.5=0.25\)

For similar question on probability.

https://brainly.com/question/14192140

#SPJ11

The correct option A, "None of the associations listed are correct," is the appropriate response.To determine the association suggested by the two-way table, we need to calculate the relative frequency of the data.

The table provides information about whether individuals have a brother and a sister.

Based on the options given, let's calculate the relative frequencies to see which association is suggested:

Calculate the relative frequency for individuals who have a brother and a sister:Relative frequency = (Number of individuals with both a brother and a sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a brother but no sister:Relative frequency = (Number of individuals with a brother but no sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a sister but no brother:Relative frequency = (Number of individuals with a sister but no brother) / (Total number of individuals)

Calculate the relative frequency for individuals who have neither a brother nor a sister:Relative frequency = (Number of individuals with neither a brother nor a sister) / (Total number of individuals)

By comparing the relative frequencies, we can determine which association is suggested by the data.Unfortunately, the given two-way table is missing, so we cannot perform the necessary calculations to determine the association.

For such more questions on Association:

https://brainly.com/question/2511791

#SPJ11

The measure of the missing side length of the right triangle is approximately 32.1.

The figure in the image is a right triangle.

From the image:

Angle θ = 0.646 rad

Opposite to angle θ = 19.3

Hypotenuse =?

To solve for the missing side length, we use the trigonometric ratio.

Note that: sine = opposite / hypotensue

Plug the given values into the above formula and solve for the hypotenuse.

sin( θ ) = opposite / hypotenuse

sin( 0.646 rad  ) = 19.3 / hypotenuse

Hypotenuse = 19.3 / sin( 0.646 rad  )

Hypotenuse = 32.1

Therefore, the hypotenuse measures 32.1 units.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

Answer:

see below. i put a square around each x,y solution.

Step-by-step explanation:

In summary, when a sample falls outside the control limits on an X-bar control chart, it signals a potential problem, and further investigation and corrective actions should be taken to identify and resolve the issue.

In an X-bar control chart, the upper control limit (UCL) and lower control limit (LCL) are set to monitor the process and detect any significant variations.

Given:

UCL = 0.65 inch

LCL = 0.35 inch

The next six samples are:

Sample 1: 0.60 inch

Sample 2: 0.37 inch

Sample 3: 0.45 inch

Sample 4: 0.48 inch

Sample 5: 0.53 inch

Sample 6: 0.62 inch

To determine what should be done, we need to check whether any of the samples fall outside the control limits.

Sample 1: 0.60 inch

Within control limits

Sample 2: 0.37 inch

Below the lower control limit (LCL)

Since Sample 2 falls below the lower control limit, it indicates a significant deviation from the expected process. This suggests that there might be an issue with the process or measurement.

Based on this result, the appropriate action would be to investigate the cause of the variation and take corrective measures to address the issue. It may involve analyzing the process, checking for any equipment malfunction, or reevaluating the measurement procedure.

To know more about sample,

https://brainly.com/question/14987349

#SPJ11

The forces acting on a horizontally moving ball in the air are gravity or the force of its own weight, and the force that displaces the ball in the horizontal direction.

Force is an external agent that acts on a body to cause it to move or stop. There are various types of forces, such as magnetic forces, nuclear forces, frictional forces, and so on.

The product of a moving body's mass and acceleration yields force, which is derived from Newton's second law of motion. As a result, as the mass of the object increases, the force required to change its state increases.

The forces acting on a moving ball horizontally are the normal force that displaces it in that direction and the downward force of gravitation equal to its weight. Air resistance acting on the ball can also be considered.

To find more on the force, refer here:

brainly.com/question/13191643

#SPJ1

Answer:48 oranges

Step-by-step explanation: 3 apples :4 oranges

                                             36 apples : x oranges

                                     36 times 4 which gives you 144 .Next divide 3 which give you 48.

Hope it helps  :).Please brainliest .

Answer:

291 rounded to the nearest hundredth = 291.00

Step-by-step explanation:

Answer:

the answer is (a) 28.

Step-by-step explanation:

The given situation can be represented by a linear equation of the form:

Cost = mx + b

where "m" is the slope (the rate of change of cost with respect to time), "x" is the number of hours of the tour, and "b" is the y-intercept (the cost when x = 0).

In this case, the y-intercept is $60, which represents the one-time fee. The cost increases by $28 per hour, so the slope is:

m = $28/hour

Therefore, the answer is (a) 28.

Answer:

Step-by-step explanation:

Write in slope-intercept form,

y=mx + b. − mowing, week, 20, 450

Answer:

46

Step-by-step explanation:

Just put in least to greatest then you would scratch each number from left to right till you got to the middle number (median)

pls mark brainless

Answer:

10

Step-by-step explanation:

(4k+5) + (6k+10) = 115

10k+15=115

10k=100

k=10

Answer:

Step-by-step explanation:

(4k+5) + (6k+10) = 115

10k + 15 = 115

10k = 100

k = 10

note: the measure of an ext. angle of a triangle is equal to the sum of the two non-adjacent interior angles.

Answer:

1

Step-by-step explanation:

-2x+9y=15

x+7=4 ​

Solve for X.

x +7=4

   -7.  -7

x = -3

Plug in X into the first equation

-2(-3) + 9y = 15

6 + 9y = 15

-6.           -6

9y = 9

Divide by 9 on both sides

9/9=1

Answer:

x = -3. | y = 1. | (-3,1)

Step-by-step explanation:

-2x+9y=15

x+7=4

-7. -7

x= -3

-2(-3) + 9y =15

6 + 9y= 15

-6. -6

9y = 9

÷9. ÷9

y = 1

The distance when the mass is 5kg is 15cm.

When two values vary directly, it means that both values move in the same direction. If one of the value increases, the other value increases and if one of the values decreases, the other value decreases.

The equation that is used to represent direct variation is:

d = km

Where:

The first step is to determine the value of k:

12 = 4k

k = 12 / 4

k = 3

d = 3 x 5 = 15cm

To learn more about direct variation, please check: https://brainly.com/question/13026479

#SPJ1

The value r², called the coefficient of determination, measures the proportion of variability in one variable that can be determined from its relationship with the other variable.

The higher the value of r2, the more of the variation in the dependent variable can be attributed to the independent variable(s), and therefore the better the relationship between the two variables is. Overall, the coefficient of determination is an important statistical measure that is used to evaluate the strength and fit of regression models. It allows researchers to determine how much of the variation seen in the dependent variable can be explained by the independent variable(s), which can help in making predictions and drawing conclusions from the data.

It represents the strength and direction of the correlation between two variables, helping to quantify their linear association. A higher r² value indicates a stronger relationship between the variables, while a value close to zero signifies a weak or no relationship.

To know more about coefficient of determination visit:

https://brainly.com/question/29134367

#SPJ11

Step-by-step explanation:

the distance of a vertex on the 2 outgoing sides to the touching points with the inscribed circle is the same for both sides.

and that applies to all 3 vertexes.

so, we know for the top left vertex the distance to both touching points is 4.

that means the distance to the touching points from the bottom left vertex is 7-4 = 3.

and that means that the distance to the touching points from the bottom right vertex is 16-3 = 13.

so, x = 13

it is the distance to one of the touching points for the bottom right vertex.

and the perimeter of the triangle is therefore

7 + 16 + (13 + 4) = 40

We are to use the power reducing formula to rewrite cos⁴x in terms of the first power of cosine.

Here,

we have

cos⁴x

We can rewrite

cos⁴x as cos²x * cos²x

This is so because of the formula

(cos (A + B))(cos (A - B)) = cos²A - sin²BCos² x = (1 + cos 2x)/2 and cos 2x = 2cos²x - 1

Hence,

(cos⁴x) = (cos²x * cos²x) = (cos²x)(1 + cos 2x)/2

Again,

cos 2x = 2cos²x - 1

Therefore

(cos⁴x) = (cos²x * cos²x) = (cos²x)(1 + cos 2x)/2= (cos²x)(1 + 2cos²x - 1)/2= (cos²x)(2cos²x)/2= cos²x(cos²x)

This is in terms of the first power of cosine and is the required answer.

To know more about reducing visit :

https://brainly.com/question/13358963

#SPJ11

Answer:

y=-3x+5

Step-by-step explanation:

y=mx+b

m=slope or gradient (=-3)

y=-3x+b  

Add your points

(2, -1)

-1=(-3 x 2)+b

-1= -6+b

-1+6=b

b=5

y=-3x+5

Answer:

\(\boxed {\boxed {\sf y= -3x+5}}\)

Step-by-step explanation:

We are asked to find the equation of the line that passes through the point (2, -1) and has a slope of -3.

We are given a point and the slope, so we can use the point-slope formula.

\(y-y_1=m(x-x_1)\)

In this formula, m is the slope and (x₁, y₁) is the point the line passes through.

The line has a slope of -3 and passes through (2, -1).

Substitute the values into the formula.

\(y--1= -3 (x-2)\)

\(y+1= -3 (x-2)\)

Distribute the -3 on the right side. Multiply each term inside the parentheses by -3.

\(y+1 = (-3*x) + (-3*-2)\)

\(y+1=(-3x) + (6)\)

\(y+1=-3x+6\)

Subtract 1 from both sides of the equation to isolate the variable y.

\(y+1-1=-3x+6-1\)

\(y=-3x +5\)

The equation of the line is y= -3x+5.

The option of bank B investment will allow to reach goal of buying the car the fastest compare to bank A it will take approximately 8.4 years

Saved amount = $15,000

Value of the car = $26,795

Use the formula for compound interest to calculate the time it will take to reach $26,795 for each bank,

Bank A,

Initial investment ' P ' = $15,000

Annual interest rate ' r ' =5.45%

                                       =  0.0545

compounded continuously  'n'  = infinity

Target amount  'A' = $26,795

The formula for continuous compounding is,

A = P\(e^{rt}\)

Substituting the values, we get,

⇒ 26,795 = 15,000 × \(e^{(0.0545t)}\)

Solving for t, we get,

⇒ t = (log(26,795/15,000))/(0.0545)

     ≈ 9.4 years

It will take approximately 9.4 years to reach the target amount if we invest in Bank A.

Bank B,

Initial investment ' P ' = $15,000

Annual interest rate ' r ' =5.75%/12

                                       =  0.00479 (monthly interest rate)

n = 12 compounded monthly

Target amount 'A' = $26,795

The formula for monthly compounding is,

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

Substituting the values, we get,

26,795 = \(15,000 \times(1+0.00479/12)^{12t}\)

Solving for t, we get,

t = (1/12) × (log(26,795/15,000))/(log(1+0.00479/12))

  ≈ 8.4 years

It will take approximately 8.4 years to reach the target amount if we invest in Bank B.

Therefore, investment in Bank B will allow you to reach your goal of buying the car the fastest, taking approximately 8.4 years.

Learn more about investment here

brainly.com/question/15314510

#SPJ4

The total surface area of the trapezoidal prism is S = 3,296 inches²

Given data ,

Let the total surface area of the trapezoidal prism is S

Now , the measures of the sides of the prism are

Side a = 10 inches

Side b = 32 inches

Side c = 10 inches

Side d = 20 inches

Length l = 40 inches

Height h = 8 inches

Lateral area of prism L = l ( a + b + c + d )

L = 40 ( 10 + 32 + 10 + 20 )

L = 2,880 inches²

Surface area S = h ( b + d ) + L

On simplifying the equation , we get

S = 2,880 inches² + 8 ( 52 )

S = 3,296 inches²

Hence , the surface area of prism is S = 3,296 inches²

To learn more about surface area of prism click :

https://brainly.com/question/9183590

#SPJ1

Slope of the line passing through (-5,-4)  and (-1,3)is 1.75

The slope formula

slope = (y₂ - y₁) / (x₂ - x₁)

Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.

The  points belong to an increasing, linear function.

Equation: y = 1.75x + 4.75.

m=7/4=1.75.

Learn more about slope of straight line here:

https://brainly.com/question/3605446

#SPJ9

A fair coin is flipped 40 times. The probability of getting a head when the coin is tossed is 0.5. If the same coin is flipped 40 times, the probability will remain 0.5. That is, there are equal chances of getting heads and tails when a fair coin is flipped.

Based on the confidence interval, if the actual proportion of heads falls within the range of the confidence interval, it can be said that the coin used was fair. If the actual proportion is outside the confidence interval, it may be an indication that the coin was not fair.

The level of confidence is typically 95% or 99%. If a confidence interval is constructed for the proportion of heads based on a sample of 40 flips and the interval includes the expected proportion of 50%, it can be said that the coin used was fair. If the interval does not include 50%, there is evidence that the coin may not be fair.

For more information regarding the topic, probability check the below link

https://brainly.com/question/13604758

#SPJ11