question 9 a data analyst creates a scatterplot. the analyst wants to put a text label on the plot to call out specific data points. what function does the analyst use?

The correct system of equations to determine the number of nickels and dimes that Luis has is: n + d = 30 and 0.5n + 0.1d = 2.20.
What is Equation?
In mathematics, an equation is a statement that two expressions are equal. It consists of two expressions connected by an equal sign (=). For example, the equation "2 + 2 = 4" states that the sum of two and two is equal to four. Equations are used to describe relationships between different variables, as well as to solve unknown values.

This system of equations can be used to solve for n and d. The first equation states that the total number of coins is equal to 30, while the second equation states that the total value of the coins is equal to $2.20. By solving these two equations, it can be determined how many nickels and dimes Luis has.

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The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .

The charge at which anything happens is referred to as the velocity at which it happens.

The required details for mean rate :

(a) H0: µ = 21.62

Ha: µ ≠ 21.62

(b) t = -1.231

p-value = 0.2253

(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.

(d) H0: µ = 21.62

Ha: µ ≠ 21.62

t = -1.231

check statistic ≥ 2.020

Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.

The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.

The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.

The crucial values for t at this level of significance are t=2.019.

Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.

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The required inequality equations are

Inequality as used in math refers to relations that are not precisely equal

Using the equation of line of the form y = mx + c

Dotted line

c = 1

m = ( 0 - 1 ) / ( -1 - 0 )

m = -1 / -1

m = 1

dotted lines is used for less than or greater than while shading below the line is for less than

Therefore the equation is y < x + 1

Solid line

c = 2

m = ( 0 - 2 ) / ( 1 - 0 )

m = -2 / 1

m = -2

solid lines is used for less than or equal to OR greater than or equal to while shading above the line is for greater than

Therefore the equation is y ≥ -2x + 2

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The total number of possible ways of giving 5 awards in a group of 20 people are 1860480.

A permutation is the number of ways a set can be arranged or the number of ways things can be arranged. Mathematically, permutation can be expressed as -

P[n, r] = n!/(n - r)!

Given is race of 20 people such that the top 5 in the race will win a prize.

Now, from a group of 20 people only 5 will be awarded with the prize. The total number of possible ways of giving 5 awards in a group of 20 people can be calculated as -

P[20, 5] = (20!/(20 - 5)!)

P[20, 5] = (20 x 19 x 18 x 17 x 16 x 15!)/15!

P[20, 5] = 20 x 19 x 18 x 17 x 16

P[20, 5] = 1860480

Therefore, the total number of possible ways of giving 5 awards in a group of 20 people are 1860480.

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The appropriate measure of variability for this data set is the IQR, and its value is 350.

The range is one measure of variability, but it is heavily influenced by extreme values, which makes it less reliable. The IQR (interquartile range) is a better measure of variability because it is not affected by extreme values. Therefore, the appropriate measure of variability for this data set is the IQR.

To calculate the IQR, we first need to find the median, which is the middle value in the ordered list of data:

200, 450, 600, 650, 700, 800

The median is (600 + 650) / 2 = 625.

Next, we find the values that mark the 25th and 75th percentiles of the data set. The 25th percentile is the value that is greater than 25% of the values in the data set, and the 75th percentile is the value that is greater than 75% of the values in the data set. We can use the following formula to find these values:

25th percentile = (n + 1) × 0.25

75th percentile = (n + 1) × 0.75

where n is the number of values in the data set. In this case, n = 6, so:

25th percentile = (6 + 1) × 0.25 = 1.75

75th percentile = (6 + 1) × 0.75 = 5.25

We round these values up and down to get the indices of the corresponding values in the ordered list:

25th percentile index = 2

75th percentile index = 5

The values at these indices are 450 and 800, respectively. Therefore, the IQR is:

IQR = 800 - 450 = 350

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Answer:

Step-by-step explanation:

2(x+7)^2 =98  

(x+7)^2 = 49  (divide both sides by 2)

(x +7) = \(\sqrt{49}\)  (square root both sides)

x + 7 = 7  ( we are not sure if this is  -7 or  +7, because either would work )

so we have two solutions now

x +7 = -7     or      x +7 = 7

x = -7 -7      or      x =7 -7    (subtract 7 from both sides)

x = - 14        or      x = 0  

After calculating the future value of the current balance, You will still owe $72.97 after one year.

Calculate the future value of the current balance: FV = PV x (1 + r)
Where, FV = Future Value, PV = Present Value (the current balance of $1,000), and r = interest rate of 2% per month.
Thus, FV = 1,000 x (1 + 0.02) = 1,020

Calculate the future value of the annuity payments of $100 per month:
FV = c x ı((1 + y)+ - 1)
Where, c = $100, y = interest rate of 2% per month.
Thus, FV = 100 x ı((1 + 0.02)12 - 1) = 1,246.24

Calculate the future value of the account balance: FV = 1,020 + 1,246.24 = 2,266.24
Finally, calculate the balance at the end of one year:
Balance at the end of one year = Future Value - Annuity Payments

Thus, Balance at the end of one year = 2,266.24 - (12 x 100) = 72.97.

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Answer:

(3, -4) or x = 3 and y = -4

Step-by-step explanation:

Hope this helps!

The equation 3x = 6.4 can be solved for x by dividing both sides of the equation by 3: 3x/3 = 6.4/3; x = 2.13

So, for 3x and 6.4x to be equal, x must be equal to 2.13. This means that you need to multiply the number 6.4 by 2.13 to equal 3. The equation 3x = 6.4 represents the relationship between two variables, x and 3x. We are trying to find the value of x that would make 3x equal to 6.4. To do this, we divide both sides of the equation by 3. Dividing both sides of an equation by the same number does not change the relationship between the variables; it only scales down the variable's value by the same factor.

So, by dividing both sides of the equation by 3, we get:

3x/3 = 6.4/3

x = 2.13

Finally, to make 6.4x equal to 3, we need to divide 6.4 by 2.13: 6.4 / 2.13 = 3. So, we need to multiply 6.4 by 2.13 to equal 3.

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Answer: 8x+288.5=12x+193.5

Step-by-step explanation:

Let x=calories per nugget

First meal=second meal

8x+288.5=12x+193.5

Answer: 1 decameter

Step-by-step explanation:

Answer:

1 decameter

Step-by-step explanation:

1 decameter is 10 meters or 1000 centimeters

Answer:

A. The system could have no solution or infinitely many solutions.

Step-by-step explanation:

Parallel lines have the same slope, meaning that they cannot intersect. So, the system can either have no solution (no intersection), or infinite possible solutions (the same line).

Answer:

He can make 14 Balloons in 35 minutes I think.

Answer:

Step-by-step explanation:

1) c²+d² is not factorable

2) e²/25 - f²/36 = e²/5² - f²/6² = (e/5)² - (f/6)² = (e/5 + f/6) (e/5 - f/6)

3) \(\sqrt{x-4}\) nothing can be done

The total distance he travelled to the nearest hundredth of a mile is; B: 3.37 miles

Let F represents his starting point.

Let C represent his position from where he went to east direction.

Let H represent his position from where he went to left towards Florida Avenue.

We are given that;

FC = 0.75 miles

CH = 1.2 miles

∠FCH = 90°(This can be deduced from the question)

By Pythagoras theorem, we have;

FH = √(0.75² + 1.2²)

FH = 1.42

Thus;

Total distance he covered = FC + CH + FH

Total distance covered = 0.75 + 1.2 + 1.42

Total distance covered = 3.37 miles

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So the velocity vector is v = (-2sin(t)) i + (2cos(t)) j, and the acceleration vector is a = (-2cos(t)) i + (-2sin(t)) j, both in terms of t.

Given

r= 2cost and theta = 9t

To Find

the velocity and acceleration vector

Solution

We can start by expressing the position vector r in terms of the Cartesian coordinates x and y:

x = r cos(theta) = 2cos(t)

y = r sin(theta) = 2sin(t)

To find the velocity vector, we can take the time derivative of the position vector:

v = (dx/dt) i + (dy/dt) j

where i and j are the unit vectors in the x and y directions, respectively.

Taking the derivatives:

dx/dt = -2sin(t)

dy/dt = 2cos(t)

Substituting these back into the velocity vector equation:

v = (-2sin(t)) i + (2cos(t)) j

To find the acceleration vector, we can take the time derivative of the velocity vector:

a = (d^2x/dt^2) i + (d^2y/dt^2) j

Taking the derivatives:

d^2x/dt^2 = -2cos(t)

d^2y/dt^2 = -2sin(t)

Substituting these back into the acceleration vector equation:

a = (-2cos(t)) i + (-2sin(t)) j

So the velocity vector is v = (-2sin(t)) i + (2cos(t)) j, and the acceleration vector is a = (-2cos(t)) i + (-2sin(t)) j, both in terms of t.

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Answer:

7. Option D

9. Option B

10. Option C

Step-by-step explanation:

Answer:

7. Option D

9. Option B

10. Option C

Mark as Brainliest!!!

Answer:

C im pretty sure 7.02 and 0.34

Step-by-step explanation:

Answer:

A. 0.318 and 0.3444...

Step-by-step explanation:

Rational numbers are numbers that can be expressed as fractions. Rational numbers include finite values and repeating decimals that have a pattern.

Because all of the answer choices include decimals that have no predictable pattern of decimals, A must be correct.

0.318 is rational because it is finite. 0.3444... will continue to add 4 on to the end of the number, meaning it is repeating predictably, and it is rational.

a. The missing probability value is 0.4.

b. E(X) = 1.4.

c. Var(X) = 0.56 and σx = 0.75.

d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.

The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.

To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.

To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.

Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.

To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.

Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.

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The part in the steering column that allows for changes in the angle between the upper and lower shafts is the universal joint.

The universal joint, also known as a U-joint or Cardan joint, is a mechanical device that enables changes in the angle between two shafts that are not in a straight line. In the context of a steering column, the upper and lower shafts are connected by a universal joint.

As the steering wheel is turned, it exerts rotational force on the upper shaft of the steering column. The universal joint allows for the transmission of this rotational motion while accommodating changes in the angle between the upper and lower shafts. It provides flexibility and compensates for any misalignment between the two shafts, ensuring smooth and continuous rotation of the steering column.

The universal joint typically consists of two yokes connected by a cross-shaped component with needle bearings. These bearings allow for rotation in multiple axes, allowing the steering column to handle variations in the angle between the upper and lower shafts during steering movements.

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A) The sample proportion = 0.17, and standard error/deviation = 0.013281

B) 0.869

C)0.9668

A) We know that 17% of households spend more than $100 per week on groceries. We are given that p ( the proportion of the population that spends more than $100 per week) = 0.17

sample size (n)= 800

The sample proportion of p = 0.17

The standard error of p will be calculated using this formula =

\(\sqrt{\frac{p(1-p)}{n} }\) =\(\sqrt{\frac{0.17(1 - 0.17)}{800} }\)

=  0.013281

B) We have to find the probability that the sample proportion will be +-0.02 of the population proportion

= p (0.17 - 0.02 ≤ P ≤ 0.17 + 0.02 ) = p( 0.15 ≤ P ≤ 0.19)

z value corresponding to P

Z = (P - p)/std deviation at P = 0.15

Z =  (0.15 - 0.17) / 0.013281 =  -1.51

at P = 0.19

z = ( 0.19 - 0.17) / 0.013281 = 1.51

Therefore the required probability will be

p( -1.5 ≤ z ≤ 1.5 ) = p(z ≤ 1.51 ) - p(z ≤ -1.51 )

= 0.9345 - 0.0655 = 0.869

C) Now, we have to find the same probability for a sample (n ) = 1600

standard deviation/ error = 0.009391 (applying the equation for calculating standard error as seen in part A above)

Therefore the required probability after applying;

z =   (P - p)/std deviation at p = 0.15 and p = 0.19

p ( -2.13 ≤ z ≤ 2.13 ) = p( z ≤ 2.13 ) - p( z ≤ -2.13 )

= 0.9834 - 0.0166 = 0.9668

Therefore,

A) The sample proportion = 0.17, and standard error/deviation = 0.013281

B) 0.869

C)0.9668

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The complete question is " The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = .17 and a sample of 800 households will be selected from the population. a. Show the sampling distribution of p, the sample proportion of households spending more than $100 per week on groceries. b. What is the probability that the sample proportion will be within ±.02 of the population proportion? c. Answer part (b) for a sample of 1600 households."

Answer:

easy

Step-by-step explanation:

substitute in x random numbers ro get the y

create a table

draw the point that would go in the negative infinite part of the graph until 0 dont draw anything on the right side of the yaxis

Answer:

a = \(\frac{b-4}{-2y}\)

Step-by-step explanation:

ay + 4 = 3ay - b  Subtract 4 from both sides

ay = 3ay -b - 4  Subtract 3ay from both sides

ay - 3ay = b - 4  Factor out the a

a (y -3y)  = b =4  Combine like terms

a(-2y) = b - 4  Divide both sides by -2y

a = \(\frac{b-4}{-2y}\)

Answer:

E

Step-by-step explanation:

the square root of 64÷49 =a rational number

The body surface area is approximately \(1.732 m^2\).

To calculate the body surface area (BSA) of a person, we can use the DuBois formula:

\(BSA = 0.007184 * height^{0.725} * weight^{0.425}\)

where height is in centimeters and weight is in kilograms.

Given:

Height = 160 cm

Weight = 100 kg

Substituting these values into the formula:

\(BSA = 0.007184 * (160)^{0.725} * (100)^{0.425}\)

Calculating:

BSA ≈ \(1.732 m^2\)

Rounded to two decimal places, the body surface area is approximately \(1.732 m^2\).

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Answer:

10800

Step-by-step explanation:

Answer:

9220 Yan na ang true answer

Answer:

1/15

Step-by-step explanation:

3/5÷1/9= 1/15

Answer:

$3.039

Step-by-step explanation:

Step 1

They bought 2 pounds of paper hearts at $ 3.42 per pound

1 pound = $3.42

2 pounds =

2 × $3.42

= $6.84

2 pounds of sparkling stars for $ 3.93 per pound

1 pound of sparking stars = $3.93

2 pounds =

$3.93 × 2

= $7.86

5 pounds of shiny coils for $ 2.53 per pound.

1 pounds of shiny coils = $2.53

5 pounds =

5 × $2.53

= $12.65

Step 2

We find the total cost of the materials

Total cost of Materials that make up the confetti = Cost of paper heart + Cost of sparkling stars + Cost of shiny coils.

= $6.84 + $7.86 + $12.65

= $27.35

Step 3

Total pounds of materials bought = 2 pounds + 2 pounds + 5 pounds

= 9 pounds

Step 4

The cost per pound of confetti = Total cost of the materials bought/ Total pounds of materials

= $27.35/9

= $3.0388888889

Approximately ≈ $3.039

The cost per pound of the confetti = $3.039

The cost per pound of the confetti is  $3.04

Given that, they bought 2 pounds of paper hearts at $ 3.42 per pound.

The cost of 2 pounds of paper hearts is, \(=2 *3.42=6.84\)

the 2 pounds of sparkling stars for $ 3.93 per pound

The cost of 2 pounds of sparkling stars is, \(=$3.93 * 2=7.86\)

the 5 pounds of shiny coils for $ 2.53 per pound.

The cost of 5 pounds of  shiny coils is, \(=5 * $2.53=12.65\)

Total cost of confetti is,

                         \(= $6.84 + $7.86 + $12.65=27.35\)

Total pounds of materials bought ,

                          \(=2+2+5=9pounds\)

The cost per pound of confetti is,

                         \(=\frac{27.35}{9}=3.04\)

The cost per pound of the confetti  is $3.039

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Answer:

17

Step-by-step explanation:

A straight angle is 180

180 = 6z + 1 + 77 combine like terms

180 = 6z + 78  Subtract 78 from both sides

180 - 78 = 6z + 78 - 78

102 = 6z  Divide both sides by 6

17 = z

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

what you have to do is

hope this helps!