x = In e10. What is x?

Answer:d

Step-by-step explanation:

Answer: The answer would be D.

Step-by-step explanation: When you add 2 5/6 to 7/4, you get 55/12. Turn 55/12 into a mixed number, and you get 4 7/12.

Check the picture below.

The standard deviation of the total sales per day for the shoe store is approximately $1743.28.

To find the standard deviation of the total sales per day for the shoe store, we need to first find the mean and variance of the total sales.

The number of customers visiting the store follows a Poisson distribution with a rate of 70 per day. Let X be the number of customers per day, then X ~ Poisson(70).

The proportion of customers that make a purchase is 45%. Let Y be the number of customers that make a purchase, then Y ~ Binomial(X, 0.45).

The amount spent by a paying customer follows an exponential distribution with a mean of $120. Let Z be the amount spent by a paying customer, then Z ~ Exp(1/120).

Now, let's find the mean and variance of the total sales per day.

E[XY] = E[E[XY|X]] = E[X * 0.45] = 70 * 0.45 = 31.5

E[Z] = 120

E[XYZ] = E[E[XYZ|XY]] = E[XY * 120] = 31.5 * 120 = 3780

Var(XY) = E[Var(XY|X)] + Var(E[XY|X]) = E[X * 0.45 * 0.55] + Var(X * 0.45) = 70 * 0.45 * 0.55 + 70 * 0.45 * 0.55 = 17.325

Var(Z) = 120^2

Var(XYZ) = E[Var(XYZ|XY)] + Var(E[XYZ|XY]) = E[XY * 120^2] + Var(XY * 120) = 31.5 * 120^2 + 17.325 * 120^2 = 3035250

Therefore, the variance of the total sales per day is Var(XYZ) = 3035250.

The standard deviation of the total sales per day is the square root of the variance:

SD(XYZ) = sqrt(3035250) = 1743.28

Therefore, the standard deviation of the total sales per day for the shoe store is approximately $1743.28.

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Answer: C

Step-by-step explanation:

First, we regard g(x), and we notice that it's constantly increasing.

So the question basically becomes "When is f(x) increasing?" The answer is Everything that is not between -4 and -2. Which means the answer is C.

Also, the "U" means "combination of the terms". It's part of set theory.

Please mark brainiest!

Answer:

120

Step-by-step explanation:

5!, called 5 factorial is the product of all positive intergers from 5 down though 1. by definition, 0! is 0.

Factorials are basically the number times itself-1 the 2 the 3 until it times it by itself-(itself-1). n!=n*(n-1)*n(n-2).....*n-(n-1).

For example 2!=2*1=2 and 6!=6*5*4*3*2*1=720

keep in mind that I am not an expert so the blanks I filled in might be wrong and the explanation might have errors

5!, called "5 factorial," is the product of all positive integers from 5 down through 1. By definition, 0! is equal to 1.

Factorial is a mathematical operation denoted by an exclamation mark (!). It represents the product of all positive integers from a given number down to 1. In the case of 5!, it is calculated as 5 × 4 × 3 × 2 × 1, resulting in the value of 120.

The exclamation mark notation allows us to represent the factorial of a number concisely. For example, 5! represents the factorial of 5. It is important to note that 0! is defined to be equal to 1. This is a special case in factorial calculations. While it may seem counterintuitive, it is defined this way to maintain consistency and enable certain mathematical calculations and formulas.

Therefore, 5! is the product of all positive integers from 5 down through 1, equaling 120, and 0! is defined to be 1.

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Answer:

10m^2(m^2-4m+2)

Step-by-step explanation:

gcf: 10m^2

10m^4 / 10m^2 = m^2

- 40m^3 / 10 m^2 = -4m

20m^2 / 10 m^2 = 2

Answer:

a = 70°

b = 80°

Step-by-step explanation:

Angles on a straight line add up to 180°

⇒ a + 110 = 180

⇒ a = 180 - 110

⇒ a = 70°

The sum of the interior angles of a quadrilateral is 360°

⇒ a + b + 130 + 80 = 360

⇒ 70 + b + 130 + 80 = 360

⇒ b + 280 = 360

⇒ b = 360 - 280

⇒ b = 80°

Answer: 4

Step-by-step explanation:

To get the slope we need two points that the lines passes through (-1,0) and (0,4)

we then calculate using the slope formula:

Slope = rise/run

= (4-0)/0- -1)

= 4/1

= 4

therefore, the slope of the line is 4

The most appropriate choice for function and subtraction of function will be given by-

(r-c)(x) = \(4x^2-8x-25\)

What is function and subtraction of function?

A function from A to B is a rule that assigns to each element of A a unique element of B

A is the domain set and B is the co-domain set.

Subtraction of function

Suppose f(x) and g(x) are two functions. Then

(f - g)(x) = f(x) - g(x)

Here,

r(x) = \(4x^2 + 2x\)

c(x) = \(10x+25\)

(r-c)(x) = r(x) - c(x) = \((4x^2+2x)-(10x +25)\)

                            = \(4x^2+2x -10x-25\)

                            = \(4x^2-8x-25\)

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Answer:

b

Step-by-step explanation:

Step-by-step explanation:

if we simply add 1 to numerator and denominator (top and bottom of the fraction), we get a fraction that is bigger than the original fraction and smaller than the fraction that added 2 to numerator and denominator.

so, my choice would be

4/5

5/6

6/7

7/8

8/9

9/10

10/11

The obtained value must be compared against the critical value. Hence, the correct option is b.

In hypothesis testing, the critical value is a threshold or cutoff point that is determined based on the chosen significance level (alpha level) and the distribution of the test statistic. It helps in determining whether to reject or fail to reject the null hypothesis.

After calculating the test statistic (such as z-score or t-statistic) from the observed data, it is compared to the critical value associated with the chosen significance level.

If the test statistic exceeds the critical value, it falls into the critical region, leading to the rejection of the null hypothesis.

If the test statistic is less than or equal to the critical value, it falls into the non-critical region, resulting in a failure to reject the null hypothesis.

Therefore, the obtained value must be compared against the critical value to make a decision in hypothesis testing. Hence, the correct answer is option b.

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If 5 wholes are divided into pieces that are each \($\frac{1}{4}$\) start fraction, 1, divided by, 4, end fraction of a whole, there are 20 pieces.

In mathematics, a fraction represents a part of a whole or a collection of equal parts. It is a way of representing a number as a ratio of two integers, where the top number is called the numerator and the bottom number is called the denominator.

If 5 wholes are divided into pieces that are each \($\frac{1}{4}$\) of a whole, we can find the total number of pieces by multiplying the number of pieces in one whole by the number of wholes:

Number of pieces in one whole=

\($\frac{1}{\frac{1}{4}} = 4$\)

Number of pieces in 5 wholes = 5 x 4 = 20

Therefore, there are 20 pieces.

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Answer:

m < 38

Step-by-step explanation:

122

20 +

142

180-

142

m < 38

Answer:

Step-by-step explanation

If we assume that angle GHI is a straight line and angles G and I are adjacent to it, then we can say that:

G + I = 180 degrees

If the angle GI is 80 degrees, then we have:

G + 80 + I = 180

Simplifying, we get:

G + I = 100

Without knowing the specific relationship between the angles G, H, and I, it is not possible to determine the measure of angle GHI with just the information that angle GI is 80 degrees.

Arrange the functions according to the average rate of change in the interval 1<1. ×< 3 is:   g(x) < f(x) = h(x) 

In other words, g(x) has the smallest average rate of change, while f(x) and h(x) have the same largest average rate of change.

A function is a mathematical rule that takes an input (or inputs) and produces a corresponding output.

It describes a relationship between two quantities, where each input is associated with exactly one output.

Since the interval of interest is not provided, I will assume that the interval is 1 < x < 3, based on the graphs of the functions given.

To determine the ordering of the functions according to their average rates of change on the interval 1 < x < 3, we can use the following formula:

Average rate of change = (f(b) - f(a)) / (b - a)

where a and b are the endpoints of the interval.

Using this formula, we can calculate the average rates of change of the three functions on the interval 1 < x < 3. Here are the results:

f(x): average rate of change = (f(3) - f(1)) / (3 - 1) = (2 - (-2)) / 2 = 2

g(x): average rate of change = (g(3) - g(1)) / (3 - 1) = (-3 - (-1)) / 2 = -1

h(x): average rate of change = (h(3) - h(1)) / (3 - 1) = (0 - (-4)) / 2 = 2

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The complete question is given below:

Arrange the functions in the period 1 according to the average rate of change. 3 is: g(x) f(x) = h(x)

In other words, g(x) has the lowest average rate of change, whereas f(x) and h(x) both have the highest average rate of change.

A function is a mathematical rule that accepts an input (or inputs) and generates an output.

It defines a relationship among two quantities in which each input corresponds to only one output.

Because the interval of interest is not specified, I will assume that it is 1 x 3 based on the graphs of the functions supplied.

We can use the formula that follows to find the ordering of the functions based on their average frequencies of change on the interval 1 x 3:

Change at an Average Rate = (f(b) - f(a)) / (b - a)

where a and b are the interval's ends.

We can compute the average rates of change of all three functions on the interval 1 x 3 using this formula. Here are the outcomes:

f(x): average rate of change = (f(3) - f(1)) / (3 - 1)

                                              = (2 - (-2)) / 2

                                              = 2

g(x): average rate of change = (g(3) - g(1)) / (3 - 1)

                                               = (-3 - (-1)) / 2

                                               = -1

h(x): average rate of change = (h(3) - h(1)) / (3 - 1)

                                               = (0 - (-4)) / 2

                                               = 2

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To translate an entire triangle, find the coordinates of each of the triangle's vertices, add the horizontal translation then plot the three translated points.

Whenever an object is moved from one location to the next without changing its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

There are some steps of translating the triangle:

Step 1: Find the coordinates of each of the triangle's vertices in step one.

Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.

Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.

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Considering the definition of an inequality, the correct answer is option C. the inequiality $0.70x + $10.00 < $34.50 symbolize this situation

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

The solution of an inequality is the set of numbers that make the inequality true.

In this case, you know that:

Being "x" the number of cookies Britany can buy, the inequality that expresses the previous relationship is

10 + 0.70x <34.50

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Answer: 6x

Step-by-step explanation:

Factor each term and see what they have in common.

12x²:   2 · 2 · 3 · x · x

18x:     2 · 3 · 3 · x

The common factors are:      2 · 3 · x   = 6x

Let panels produced by plant A be represented by a

Let panels produced by plant B be represented by b

Let the total panels produced by both plants be represented by x

Generating the equations from the statements given;

Total panels

Defective panels

Since the defective panel is 7% of the total panels, then;

Therefore, the number of panels produced by plant B is 6000panels

We can say with 95% confidence that the proportion of students in the school who prefer math is between 0.504 and 0.696.

What is Confidence Interval?

A confidence interval is a range of values that is likely to contain the true value of a population parameter, such as a mean or proportion.

To find a confidence interval for a population proportion, you can use the following formula:

CI = p ± z*(√(p*q/n))

Where:

CI represents the confidence interval

p is the sample proportion

q is the complement of the sample proportion (q = 1 - p)

n is the sample size

z is the z-score associated with the desired level of confidence

The z-score is determined based on the desired level of confidence and can be found in a standard normal distribution table or calculated using statistical software. For example, if you want a 95% confidence interval, the z-score would be 1.96.

It's important to note that this formula should only be used if the number of successes np' and the number of failures nq' are both greater than 5. If this condition is not met, the normal approximation may not be accurate and other methods should be used.

To use this formula, you would follow these steps:

Calculate the sample proportion (p) by dividing the number of successes by the sample size.

Calculate q by subtracting p from 1 (q = 1 - p).

Determine the z-score based on the desired level of confidence.

Calculate the confidence interval using the formula above.

For example, let's say you want to find a 95% confidence interval for the proportion of students in a school who prefer math over other subjects. You survey a random sample of 100 students and find that 60 prefer math.

Calculate the sample proportion: p = 60/100 = 0.6

Calculate q: q = 1 - 0.6 = 0.4

Determine the z-score for a 95% confidence interval: z = 1.96

Calculate the confidence interval: CI = 0.6 ± 1.96*(√(0.6*0.4/100)) = (0.504, 0.696)

Therefore, we can say with 95% confidence that the proportion of students in the school who prefer math is between 0.504 and 0.696.

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Answer:

This is the graph. The 5 points you can plot can be:

roots: (-6, 0) and (-2, 0)

vertex: (-4, -4)

two other random points to complete the 5 points:

(-5, -3) and (-3, -3)

Answer:

132

Step-by-step explanation:

It is necessary to use the trigonometric identity: sin2 (β) + cos2 (β) = 1.

1) a. sin2 (β)In order to solve the problem.

Now, substituting these values in sin2(β),

sin2(β) = (sin(β))2sin

2(β) = (-√6/7)2 sin

2(β) = 6/7.

Now is cos 2(β) = 1/7.2) 10sin45.

cos45 = 10(sin45).

(cos45)Since sin45 = cos45

= 1/√2,10(sin45)(cos45)

= 10(1/√2)(1/√2)10(sin45)(cos45)

= 10/2.

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There are 4 possible seating arrangements in the family car for Mr. and Mrs. Lopez and their two children.

Hence option A is correct.

There are two people who could sit in the driver's seat (Mr. or Mrs. Lopez), and once one of them is in the driver's seat,

There is only one person left to sit in the other front seat.

So there are 2 x 1 = 2 ways to choose who sits in the front seats.

Now, we have to figure out how many ways we can seat the remaining two people in the back seat.

There are two people left, so there are 2 x 1 = 2 ways to choose who sits on the left side of the back seat.

Once we've chosen who sits on the left side,

There is only one person left to sit on the right side.

So there are 2 x 1 = 2 ways to seat the two remaining people in the back seat.

Therefore,

We need to combine all of the possibilities.

There are 2 ways to choose who sits in the front seats, and 2 ways to seat the remaining two people in the back seat.

So the total number of seating arrangements is 2 x 2 = 4.

Therefore, there are 4 possible seating arrangements in the family car for Mr. and Mrs. Lopez and their two children.

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The results of the calculations are approximately 7.07 and 3.74, respectively, to the correct number of significant figures.

Performing the calculation:

(10.52)(0.6721) = 7.0671992

Rounding to the correct number of significant figures, we have:

(10.52)(0.6721) ≈ 7.07

Next, let's calculate (19.09 - 15.347):

(19.09 - 15.347) = 3.743

Rounding to the correct number of significant figures, we have:

(19.09 - 15.347) ≈ 3.74

Therefore, the results of the calculations are approximately 7.07 and 3.74, respectively, to the correct number of significant figures.

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Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

Answer:

87 times

Step-by-step explanation:

Answer:

2 x 10^-2

Step-by-step explanation:

0.02 equals to 2/100

therefore 0.02= 2/102 (remember this is negative)

= 2x10^-2 (therefore -2)

The solution to the number 0.02 in scientific notation is 2 * 10⁻²

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

Number = 0.02

Multiply the number by 1

So, we have

Number = 0.02 * 1

Express 1 as 100/100

So, we have the following representation

Number = 0.02 * 100/100

Next, we have

Number = 2 * 1/100

Express 1/100 as 10⁻²

So, we have

Number = 2 * 10⁻²

Hence, the solution is 2 * 10⁻²

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