Here are the shopping times in minutes) for a sample of 5 shoppers at a particular grocery store.38, 36, 28, 35, 43Find the standard deviation of this sample of shopping times. Round your answer to two decimal places.

Answer:

C

Step-by-step explanation:

Since the y-int. is 2 we know that the coefficient of the exponential term is 2, which eliminates B and D. Since f(x) decreases from left to right, the number in the parentheses has to be less than 1, so the answer is f(x) = 2 * (0.25)^x.

Answer: C.f(x)=2•(0.25)^x

Step-by-step explanation: took the quiz

Answer: A

Step-by-step explanation:

Hope this helps :)

Answer:

24 boys

16 girls

total: 24+16= 40

A) 24:40

B) 3:2

Step-by-step explanation:

Answer:

Step-by-step explanation:

\( - 23 + (23 - 11) \times (55 - 76) \\ - 23 + 12\times ( - 21) \\ - 23 - 252 \\ - 275 \\ \)

The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

from the question, we have the following parameters that can be used in our computation:

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

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Answer:

10 years

Step-by-step explanation:

Let the age of the remaining student be x years.

\(Average \:of\:ages = \frac{Sum \: of \: ages }{No. \: of \: students} \\ \\ 9 = \frac{5 + 7 + 8 + 15 + x}{5} \\ \\ 9 = \frac{35+ x}{5} \\ \\ 9 \times 5 = 35 + x \\ \\ 45 = 35 + x \\ \\ 45 - 35 = x \\ \\ x = 10 \: years\)

Answer:

The age of the remaining student = 10 years

Step-by-step explanation:

Let the age of the remaining student = x

Average age of 5 students  = 9 year

Sum of the age of 5 students  = 9*5 = 45 years

5 + 7 + 8 + 15 + x = 45

               35 + x = 45

                        x = 45 - 35

                        x = 10

The age of the remaining student =  10 years

The factors of the given expression are 2av² and (2av³-9).

The given expression is 4a²v⁵-18av².

The factors are the polynomials which are multiplied to produce the original polynomial.

2av²(2av³-9)

Therefore, the factors of the given expression are 2av² and (2av³-9).

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The answer is D.

-9/12 - (-1/3) = -5/12

Grouping symbols, Exponents, Multiply & Divide, Add & Subtract (GEMDAS). It is called by GEMS.

An effective acronym for teaching pupils the hierarchy of operations is PEMDAS.

The PEMDAS rule explains to pupils how to solve multi-step arithmetic problems and in what sequence to complete the operations to arrive at the right solution.

Groupings, Exponents, Multiplication or Division, Subtraction or Addition is referred to as GEMS. All grouping symbols, including parentheses, brackets, and braces, are referred to as groupings. The acronym GEMS has been adopted to take the role of PEMDAS. These can be used in place of one another.

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Answer:

5198.4 grams of sand

Step-by-step explanation:

The bottom cube:

12*12*13= 144*13= 1872

The top pyramid:

144*6= 864

1872+864= 2736 cubic cm

THEN

2736*1.9= 5198.4 g of sand!

Brainliest plsss

Answer:

5.586 kg

Step-by-step explanation:

2940 ×1.9=  5586 kg or 5586 g

Answer:

The answer is C. $77.83.

Step-by-step explanation:

If you add $68.10 and $54.07 you will have the amount of $122.17. $200 minus $122.17 is $77.83.

Answer: 1= 6/6 and 2=12/6

Step-by-step explanation: Just Think and use your brain

15 liquids that can be found in a kitchen include:

15 solids in a kitchen are:

When it comes to solids in the kitchen, we can mostly find either food ingredients, such as salt, flour, and spices, or actual food that can be prepared such as meat, vegetables, and bread.

As for liquids, these can be anything from drinks such as juice, water and wine, to liquids used for cooking such as oil, soy sauce and vinegar.

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The number of teaspoons of baking powder that will be needed for 12 servings of white cake will be 1 3/4 teaspoon.

The number of teaspoons of baking powder that will be needed for 30 servings of white cake will be 4 3/8 teaspoon.

The number of teaspoons of baking powder that will be needed for 12 servings of white cake will be:

12 / 18 = x / 2 5/8

Cross multiply

18x = 12 × 2 5/8

x = (12 × 2 5/8) / 18

x = 1 3/4 teaspoon

The number of teaspoons of baking powder that will be needed for 30 servings of white cake will be:

= 1 3/4 × 2 1/2

= 4 3/8 teaspoon

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To prove that the triangles are similar by the SSS (Side-Side-Side) similarity theorem, the corresponding sides of the triangles MN and SR must be proportional to each other.

In the SSS similarity theorem, for two triangles to be similar, all three pairs of corresponding sides must be proportional. In the given scenario, we have triangles MN and SR. To establish similarity using the SSS theorem, we need to compare the lengths of the corresponding sides of these triangles.

We are given that MN is proportional to SR, and based on the information provided, we can conclude that QR is proportional to NO.

However, we don't have information about the third pair of sides, which is MN and QR, to establish similarity using the SSS theorem. Therefore, we cannot prove the similarity of these triangles solely based on the given information.

To prove the similarity of triangles MN and SR using the SSS similarity theorem, we also need to compare the lengths of the remaining pair of corresponding sides, MN and QR. Without that information, we cannot establish similarity solely based on the provided sides and angles.

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The statistic that describes the average distance between the measurements in a frequency distribution and the mean of that distribution is the mean absolute deviation (MAD).

The MAD measures the dispersion or spread of the data points around the mean. It is calculated by taking the absolute value of the differences between each data point and the mean, summing these absolute differences, and dividing by the number of data points.

Unlike the standard deviation, the MAD does not square the differences, making it easier to interpret. The MAD provides a measure of the variability of the data and is useful in comparing the spread of different data sets.

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Answer:

Slope: -3

Step-by-step explanation:

-29-13=-42

8-(-6)= 14

-42/14= -3

Answer:

B hope this helps

Step-by-step explanation:

Answer: it’s (A)

Step-by-step explanation:

Answer:

Those numbers are -18 and -2

Explanation:

(-18)*(-2)=36

-18+(-2)=-18-2=-20

Answer:

x*y=36

x+y=-20

so it would be -18 and -2, :)

Step-by-step explanation:

Answer:

$20,300.88

Step-by-step explanation:

First Year : 75,000x(1-23%)

Second Year: 75,000x(1-23%)x(1-23%)

=75,000x(1-23%)^2

Third Year : 75,000x(1-23%)x(1-23%)x(1-23%)

=75,000x(1-23%)^3

x Year : 75,000x(1-23%)^x              (Analogical Reasoning)

Hence : Fifth year:75,000x(1-23%)^5 = 75000x(0.77)^5

23%=0.23 1-23%=1-0.23=0.77

Therefore Fifth Year: 75000x(0.77)^5=$20300.88

Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

Answer:

In question number 9 I think is: 3. In question number 10 is: 3. If is not corect well...Im sorry I tried my best :) Hope it helps!

Step-by-step explanation:

The solution of the equation x^ay! + 5xy + (4 + x)y = 0, where x > 0, can be represented as a power series of the form y = ΣCnx^n, where C0 = 1 and Cn = 0 for n = 1, 2, 3, ...

To find the solution of the equation x^ay! + 5xy + (4 + x)y = 0, we can represent the solution as a power series expansion of the form y = ΣCnx^n, where Cn is the coefficient of x^n and n ranges from 0 to infinity. Plugging the power series into the equation, we get:

x^a*(ΣCnx^nn!) + 5x*(ΣCnx^n) + (4 + x)(ΣCn*x^n) = 0

We can then collect the terms with the same powers of x:

ΣCnx^(n+a)n! + Σ5Cnx^(n+1) + Σ(4 + x)Cnx^n = 0

For the equation to hold true for all powers of x, each term with the same power of x must be zero. Therefore, we can determine the coefficients Cn for each power of x. For n = 0, the term ΣCnx^a0! simplifies to C0x^a0! = C0*x^a. Since the equation must hold for all x > 0, the coefficient C0 must be non-zero. Therefore, C0 = 1. For n = 1, the term Σ5Cnx^2 simplifies to 5C1x^2 = 0. Therefore, C1 = 0. Similarly, for n = 2, 3, 4, ... , the terms involving Cn will also be zero, as they are multiplied by powers of x. Hence, the solution of the equation x^ay! + 5xy + (4 + x)y = 0 can be represented as y = C0x^a = x^a, where a is a positive real number, and the coefficients Cn are zero for n = 1, 2, 3, ....

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The outward flux of the vector field F across the boundary of the region D, which is the cube bounded by the planes x = ±1, y = ±1, and ±1, can be found using the divergence theorem.

The outward flux is the integral of the divergence of F over the volume enclosed by the boundary surface.The first step is to calculate the divergence of F. The divergence of a vector field F = P i + Q j + R k is given by div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z. In this case, div(F) = ∂/∂x(5y - 4x) + ∂/∂y(-4z - 5y) + ∂/∂z(-3y - 2x). Simplifying these partial derivatives, we have div(F) = -4 - 2 - 3 = -9.

Applying the divergence theorem, we can relate the flux of F across the boundary surface to the triple integral of the divergence of F over the volume enclosed by the surface. Since D is a cube with sides of length 2, the volume enclosed by the surface is 2^3 = 8.

Therefore, the outward flux of F across the boundary of D is given by ∬S F · dS = ∭V div(F) dV = -9 * 8 = -72. The negative sign indicates that the flux is inward.

In summary, the outward flux of the vector field F across the boundary of the cube D, as described by the given vector components, is -72. This means that the vector field is predominantly flowing inward through the boundary of the cube.

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The Radical Form (√x)  ,the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

The equation √x - 2 + 4 = x for x, we can follow these steps:

1. Begin by isolating the radical term (√x) on one side of the equation. Move the constant term (-2) and the linear term (+4) to the other side of the equation:

  √x = x - 4 + 2

2. Simplify the expression on the right side of the equation:

  √x = x - 2

3. Square both sides of the equation to eliminate the square root:

  (√x)^2 = (x - 2)^2

4. Simplify the equation further:

  x = (x - 2)^2

5. Expand the right side of the equation using the square of a binomial:

  x = (x - 2)(x - 2)

  x = x^2 - 2x - 2x + 4

  x = x^2 - 4x + 4

6. Move all terms to one side of the equation to set it equal to zero:

  x^2 - 4x + 4 - x = 0

  x^2 - 5x + 4 = 0

7. Factor the quadratic equation:

  (x - 1)(x - 4) = 0

8. Apply the zero product property and set each factor equal to zero:

  x - 1 = 0   or   x - 4 = 0

9. Solve for x in each equation:

  x = 1   or   x = 4

Therefore, the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

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The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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Answer:

42

Step-by-step explanation:

6 + 2r + 10

Input r=13 into the equation

6 + 2(13) + 10

6 + 26 + 10

32 + 10

42

Hope this helps!

Have a nice day!

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Answer:

42

Step-by-step explanation:

6+(r+5)2; r=13, S=2

Lets plug in what we know

6+(13+5)2 (Solve what is in the parentheses)

6+(18)2 (The 2 behind the parentheses is the same as a 2 in front of the parentheses. You will still multiply by 2)

6+36

42

The particular antidervative of the given derivative that satisfies the condition y(1) = 5 is y = -x⁻² + 6ln(x) - x + 6.

To find the antidervative, we need to integrate each term of the derivative separately. Integrating 2x⁻³ gives us -x⁻², integrating 6x⁻¹ gives us 6ln(x), and integrating -1 gives us -x. Adding these three integrals together gives us the antidervative y = -x⁻² + 6ln(x) - x + C, where C is the constant of integration.

To find the value of C, we can use the given condition y(1) = 5. Plugging in x=1 and y=5, we get 5 = -1 + 6(0) - 1 + C, which simplifies to C = 6. Therefore, the particular antidervative that satisfies the given condition is y = -x⁻² + 6ln(x) - x + 6.

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Distance between two coordinates:

Given point: b) (10, -5) and ( -6, 7)

Substitute the value in the expression of distance formula

The distance between coordinates (10,-5) & (-6,7) is 20 unit

Answer:

\(22\ km\)

Step-by-step explanation:

One is given the following information:

One is asked to find the total distance covered on both of these days. In order to do so, one must remember in a fraction, any number over (1) is equal to the numerator (number over the fraction bar). Thus one can form the following equation:

\((Thursday)+(Friday) = Total\ distance\)

Substitute,

\((Thursday)+(Friday) = Total\ distance\)

\((10\frac{1}{1})+(10\frac{1}{1}) = Total\ distance\)

Simplify,

\((10\frac{1}{1})+(10\frac{1}{1}) = Total\ distance\)

\((10+1)+(10+1) = Total\ distance\)

\((11)+(11)=Total\ distance\)

\(11+11=Total\ distance\)

\(22=Total\ distance\)

Answer:

B. y=1/3x+4

Step-by-step explanation:

Hi there!

We are given the line PQ and we want to find the line that is perpendicular to it

Perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1

So first, let's find the slope of the line PQ

The point P is given as (-8, 7) and the point Q is given as (-4, -5)

The formula for the slope calculated from two points is \(\frac{y_2-y_1}{x_2-x_1}\) where (\(x_{1}\) \(y_1\)) and (\(x_2\), \(y_2\)) are points

We have the needed information for the slope, but let's label the values of the points to avoid any confusion

x1=-8

y1=7

x2=-4

y2=-5

Now substitute into the formula (m is the slope, and remember: the formula contains SUBTRACTION):

m=\(\frac{(-5-7)}{(-4--8)}\)

simplify

m=\(\frac{-5-7}{-4+8}\)

add

m=-12/4

divide

m=-3

So the slope of the line PQ is -3

As said above, perpendicular lines have slopes that have a product of -1

So to find the slope of the line perpendicular to PQ, use this formula:

-3m=-1

divide both sides by -3

m=1/3

The only line that has a slope of 1/3 is B (y=1/3x+4), so B is the answer.

Hope this helps!