The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A.

A graph shows the average daily temperature on the x-axis, and number of years on the y-axis, from 1 to 4. The average temperature was 18 for 2 years; 19 for 3 years; 20 for 2 years; 21 for 3 years; 22 for 2 years; 23 for 4 years; 24 for 3 years; 25 for 3 years; 26 for 5 years; 27 for 2 years; 28 for 1 year; 29 for 2 years; 30 for 2 years; 31 for 1 year.

The mean of the temperatures in the chart is 24° with standard deviation of 4°. How many years had temperatures within one standard deviation of the mean?

Answer:

45 minutes

Step-by-step explanation:

The minimum of a box-and-whisker plot is the leftmost endpoint, called the "whisker". This minimum is the smallest value collected in the data.

The detail that best supports the inference that the auto manufacturing industry supports green solutions is -

"Pyrolysis generates low-cost energy that can be used in the automobile manufacturing industry".

In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

Given is a graph as shown in the image attached.

We can write -

{ 1 } -

f{g(x)} = (x - 2)² - 2(x - 2) - 3

{ 2 } -

g{f(x)} = (x² - 2x - 3) - 2

Therefore, we can calculate f{g(x)} and g{f{x}) as -

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Point M has the same distance from point A and point B (option d).

Given,

Line segment CD is the  perpendicular bisector of line segment  AB

AB ⊥ CD

Assume the conjecture that the set of  points equidistant from A

and B is the  perpendicular bisector of AB is true

Here,  line segment CD intersect line segment AB at M

Then, M is the mid-point of line segment AB

So, the length of  line AM = the length of line MB

That is, Point M has the same distance from both point A and point B.

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The store can choose to stock up on 60 different types of sweaters for the upcoming fall season.

To determine the number of different types of sweaters the store can choose to stock up on, we need to calculate the total number of possible combinations of colors and textures

The store has 5 different colors and 3 different textures to choose from. Since they will stock the sweater in 3 different colors and 2 different textures, we can use the concept of combinations.

The number of combinations can be calculated using the formula:

C(n, r) = n! / (r!(n - r)!)

Where n represents the total number of options (colors or textures), and r represents the number of choices (colors or textures) the store will stock.

For colors:

n = 5 (total number of colors)

r = 3 (number of colors the store will stock).

C(5, 3) = 5! / (3!(5 - 3)!)

= 5! / (3!2!)

\(= (5 \times 4 \times 3!) / (3! \times 2 \times 1)\)

\(= (5 \times 4) / (2 \times 1)\)

= 10.

For textures:

n = 3 (total number of textures)

r = 2 (number of textures the store will stock)

C(3, 2) = 3! / (2!(3 - 2)!)

= 3! / (2!1!)

\(= (3 \times 2!) / (2! \times 1)\)

\(= (3 \times 2) / (1)\)

= 6

To calculate the total number of different types of sweaters, we multiply the number of color combinations by the number of texture combinations:

Total combinations\(= C(5, 3) \times C(3, 2)\)

\(= 10 \times 6\)

= 60

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Answer:

\(588mm^3\)

Step-by-step explanation:

Each side of the blue pyramid is 3 times the size of the red pyramid.

Instead of just dividing by 3 for the volume we must divide by 9 instead because we're working in cubes.

According to the statement is:

About 15 points lower on IQ tests.

The correct option is (4)

In the United States, almost no one can trace their ancestry back to just one place. And for many, the past may hold some surprises, according to a new study. Researchers have found that a significant percentage of African-Americans, European Americans, and Latinos carry ancestry from outside their self-identified ethnicity. The average African-American genome, for example, is nearly a quarter European, and almost 4% of European Americans carry African ancestry.

The average African-American genome, for example, is 73.2% African, 24% European, and 0.8% Native American, the team reports online today in The American Journal of Human Genetics. Latinos, meanwhile, carry an average of 18% Native American ancestry, 65.1% European ancestry (mostly from the Iberian Peninsula), and 6.2% African ancestry.

So, The correct option is (4)

About 15 points lower on IQ tests.

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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This is a fundamental counting principle problem and can be solved by multiplying the number of choices you have for each digit of the license plate.

For the first five digits you can choose from the numbers 0,1,2...,9 or 10 choices.

A we cannot repeat the digits, so, first five digits will be:

10 × 9 × 8 × 7 × 6

Now the next 1 digit will all be letter all being different

There are 26 letters in the alphabet.. for our second digit we have 26 choices,

Here is the whole calculation:

= 10 × 9 × 8 × 7 × 6 × 26

= 786240

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The derivative of the function y = x sinh(x/3) - (9 + x²) is ln((x + √(x² + 9))/3) + (x/(3√(x² + 9))) - 2x.

To find the derivative of y = x sinh⁻¹(x/3) - (9 + x²), we will use the chain rule and the power rule of differentiation.

First, we can simplify the expression by using the identity sinh⁻¹(x) = ln(x + √(x² + 1)), so we have:

y = x ln(x/3 + √((x/3)² + 1)) - (9 + x²)

Now we can differentiate term by term, using the chain rule for the first term:

y' = ln(x/3 + √((x/3)² + 1)) + x(1/(x/3 + √((x/3)² + 1))) (1/3) - 2x

Simplifying the first term and combining like terms in the second term, we get:

y' = ln((x + √(x² + 9))/3) + (x/(3√(x² + 9))) - 2x

This is the final answer for the derivative of y.

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The question is -

Find the derivative of the function y = x sinh(x/3) - (9 + x²).

A ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value.

The given data set is 245, 261, 289, 222, 291, 289, 240, 233, 249, and 200. To create a ranked frequency distribution of this data set, we first need to sort it in ascending or descending order. Let's sort it in ascending order:200, 222, 233, 240, 245, 249, 261, 289, 289, 291 Next, we need to count the frequency of each value. We can do this by going through the data set and counting how many times each value occurs. Here is the frequency distribution table:Value Frequency 200 1222 1233 1240 1245 1249 1261 1289 2291 1 From this table, we can see that the most frequent value is 289, which occurs twice. We can also see that the least frequent values are 200, 222, 233, and 240, which each occur only once.

In conclusion, a ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value. This allows us to see which values are most and least frequent in the data set.

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The population standard deviation for the given data set is approximately 1.6329.

To find the population standard deviation by hand, you need to follow these steps:

1. Calculate the mean (average) of the data set:

  Mean = (10 + 12 + 8) / 3 = 30 / 3 = 10

2. Calculate the deviation of each data point from the mean:

  Deviation for 10: 10 - 10 = 0

  Deviation for 12: 12 - 10 = 2

  Deviation for 8: 8 - 10 = -2

3. Square each deviation:

  Squared deviation for 10: 0^2 = 0

  Squared deviation for 12: 2^2 = 4

  Squared deviation for 8: (-2)^2 = 4

4. Calculate the sum of squared deviations:

  Sum of squared deviations = 0 + 4 + 4 = 8

5. Divide the sum of squared deviations by the total number of data points (in this case, 3) to get the variance:

  Variance = 8 / 3 ≈ 2.6667

6. Take the square root of the variance to find the population standard deviation:

  Population standard deviation = √2.6667 ≈ 1.6329

Therefore, the population standard deviation for the given data set is approximately 1.6329.

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Answer:

6

Step-by-step explanation:

b = 2 units

h = 6 units

A=1/2 *b*h

= 1/2 *6*2

= 6

Answer:

7.071068 ≈ 7.07

Step-by-step explanation:

The distance, d,  between 2 points (x1, y1) and (x2, y2) is given by the formula

\(d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

The two points as determined from the graph are (1, 5) and (2, -2)

\(d = \sqrt {(2 - 1)^2 + (-2 - 5)^2}\)

\(d = \sqrt {(1)^2 + (-7)^2}\)

\(d = \sqrt {{1} + {49}}\)

\(d = \sqrt {50}\)

\(d = 7.071068\)

Answer: -6?

Step-by-step explanation:

Answer:

90(3) = m or 90 x 3 = m

Step-by-step explanation:

90 minutes per day for 3 days

Option - D : Given a standardized normal distribution with a mean of 0 and standard deviation of 1, the probability that Z is less than -0.21 or greater than 1.08

A) To determine the likelihood that Z is less than 1.08, we check up the value of 1.08 in the table of the ordinary normal distribution or use a calculator to determine that the likelihood is around 0.8599 or 85.99%.

B) We may use a calculator or the conventional normal distribution table to determine the chance that Z is bigger than -0.21 and discover that it is around 0.5832, or 58.32%.

C) We may combine the probabilities of Z being less than -0.21 and Z being more than 0 to get the likelihood that Z is less than -0.21 or greater than the mean (0). We discover the following using a calculator or the conventional normal distribution table:

P(Z < -0.21) = 0.4168

P(Z > 0) = 0.5

So, the probability that Z is less than -0.21 or greater than the mean is:

P(Z < -0.21 or Z > 0) = P(Z < -0.21) + P(Z > 0) = 0.4168 + 0.5 = 0.9168 or 91.68%.

D) To find the probability that Z is less than -0.21 or greater than 1.08, we can add the probability of Z being less than -0.21 to the probability of Z being greater than 1.08. Using standard normal distribution table,we find:

P(Z < -0.21) = 0.4168

P(Z > 1.08) = 0.1401

thus the  probability that Z is less than -0.21 or greater than 1.08 is:

P(Z < -0.21 or Z > 1.08) = P(Z < -0.21) + P(Z > 1.08) = 0.4168 + 0.1401 = 0.5569 or 55.69%.

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Answer:

Simple answer, 2 1/2

Step-by-step explanation:

5/8 divided by 1/4 is 2.5. 2 and 1/2 means there is 2 whole units, and half a unit. Making it 2 and 1 half

6.6,your answer is correct.

As the theorem is a^2+b^2=c^2 you first must assign the proper components to each variable. Since 12 is the longest since it is the hypotenuse that means it is c so in this case 144. And since 10 is the leg it is a.

To solve you must take

10^2+b^2=12^2

100+b=144

144-100=44

Since b^2 is 44 you must find the square root \(\sqrt{44}\)=6.6

The solution to the provided expression using the difference of square formula of algebra is a=1.

The difference of square says, the difference of the square of two terms is equal to the product of their sum and difference. It can be given as,

a^2-b^2=(a+b)(a-b)

The given expression in the problem is,

\(15(2a - 2) = 5(a^2 -1)\)

From the property of difference of square, the above equation can be written as,

\(15(2a - 2) = 5[(a +1)(a-1)]\\15\times[2(a - 1)] = 5[(a +1)(a-1)]\)

Divide both side of the equation with (a-1) as,

\(5\times2 = 5(a +1)\)

Divide both side of the equation with number 5 as,

\(2 = (a +1)\\a=2-1\\a=1\)

Hence, the solution to the provided expression using the difference of square method of algebra is a=1.

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The solutions to 15(2a – 2) = 5(a2 – 1) are:

a = 1, a = –1

a = 5, a = –1

a = 5, a = 1

Answer:

C. a = 5, a = 1

Step-by-step explanation:

To find the limits of the given expressions, we can use the properties of limits. Given that lim f(x) = 9, lim g(x) = -4, and lim h(x) = 0 as x approaches 2, we can determine the limits of (a) [f(x) + 4g(x)], (b) [g(x)]³, and (c) √f(x) as x approaches 2.

(a) To find lim [f(x) + 4g(x)] as x approaches 2, we can apply the limit properties. Since lim f(x) = 9 and lim g(x) = -4 as x approaches 2, we can substitute these values into the expression to get lim [f(x) + 4g(x)] = 9 + 4(-4) = 9 - 16 = -7.
(b) To find lim [g(x)]³ as x approaches 2, we again apply the limit properties. Since lim g(x) = -4 as x approaches 2, we can substitute this value into the expression to get lim [g(x)]³ = (-4)³ = -64.
(c) To find lim √f(x) as x approaches 2, we can apply the limit properties. Since lim f(x) = 9 as x approaches 2, we can substitute this value into the expression to get lim √f(x) = √9 = 3.
In summary, the limits are: (a) -7, (b) -64, and (c) 3.

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Answer:

Step-by-step explanation:

its not right equation

because

5X - 10 ≠ 2X - 4

A. ∂r/∂x = cos θ.

B. ∂x/∂r = cos θ.

To express the following functions in terms of r and θ (or 0):

A. ∂r/∂x

We have z = x + iy = r(cos θ + i sin θ)

To find ∂r/∂x, we differentiate the real part of z with respect to x, keeping θ constant.

∂r/∂x = ∂(r cos θ)/∂x = cos θ

Therefore, ∂r/∂x = cos θ.

B. ∂x/∂r

To find ∂x/∂r, we need to express x in terms of r and θ.

From z = x + iy = r(cos θ + i sin θ), we can isolate x:

x = r cos θ

Now we differentiate x with respect to r, keeping θ constant.

∂x/∂r = ∂(r cos θ)/∂r = cos θ

Therefore, ∂x/∂r = cos θ.

Note: In both cases, the derivative with respect to θ (or 0) is 0 because the functions do not depend on θ (or 0).

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Answer:

45

Step-by-step explanation:

(3)(7)−(6)(−4)

=21−(6)(−4)

=21−(−24)

=45

Answer:

I think it is 30

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

The angles shown are vertical angles

If you didn't know vertical angles are congruent

That being said we create an equation to solve for x

(because vertical angles are congruent) 104 = 3x + 14

now that we have created an equation we want to solve for x

Step 1 subtract 14 from each side

104 - 14 = 90

14 - 14 cancels out

now we have 90 = 3x

step 2 divide each side by 3

90/3=30

3x/3=x

we're left with x = 30

Answer:

the answer is y= 5(0.25)^x or C

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The two vectors are linearly independent because their dot product is 0.

Answer:Without calculation, the eigenvalue of A = [2 2 2; 2 2 2; 1 1 0] and two linearly independent eigenvectors are: The eigenvalue of A is 0 because the columns of A are linearly dependent.Two linearly independent eigenvectors of A are:1 1 -21 -1 20 The eigenvector corresponding to the eigenvalue λ = 0 is the nullspace of A, since A(0) = 0.The null space of A is given by the solution set of the system Ax = 0,

which yields:x1 = -x2x3 = 0 The solution set is a line passing through the origin spanned by the vector x = [1, -1, 0]T, which is one eigenvector.The other eigenvector can be chosen to be orthogonal to x, which can be achieved by choosing x = [1, 1, -2]T / sqrt (6). The two vectors are linearly independent because their dot product is 0.

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Answer:

a=96 b=104 c=85

Step-by-step explanation:

If you use Interior angles and vertical angles theorem you can solve it

Answer:

B. 30m2

Answer:

Where is the question?

Step-by-step explanation: