An electrician
charges $85.00 for
service call, plus a
8% sales tax rate
How much change will
you receive if you pay
$ 100.00?

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

Expression in scientific notation :

\(\qquad \tt \rightarrow \:3.45 × {10}^{-4} \)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad \tt \rightarrow \: 0.000345\)

\(\qquad \tt \rightarrow \: 0.000345 \times \cfrac{10000}{10000} \)

\(\qquad \tt \rightarrow \: (0.000345 \times 10000) \times \cfrac{1}{10000} \)

\(\qquad \tt \rightarrow \: 3.45 \times \cfrac{1}{10 {}^{4} } \)

\(\qquad \tt \rightarrow \: 3.45 \times{10 {}^{ - 4} } \)

\( \textsf{Correct option - D} \)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

3.45 x 10-4

Step-by-step explanation:

Answer:

Y intersect and X intersect

The piecewise function can be defined as, f(x) = x+3, if x<0 and f(x) =3, if  x≥0, Option B is correct.

A relation is a function if it has only One y-value for each x-value. Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

From the given figure it is easily noticed that the function is increasing in nature for x<0 and the function is constant in nature for x>0 because the value of y remains unchanged for any value of x, where x≥0

The value of function is 3 at x=0.

The value of the function is always 3 for all x≥0 .

f(x)=3 for x≥0

The function is a straight line with intercepts (-3,0) and (0,3).

slope = 3-0/0+3

         =1

Let us find the y intercept

0=1(-3)+b

b=3

Now equation is y=x+3

For x<0, the function is,

f(x)=x+3

Therefore the piecewise function can be defined as, f(x) = x+3, if x<0 and f(x) =3, if  x≥0.

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Answer:

y = -\(\frac{5}{3}\) x -2

Step-by-step explanation:

The line is going down to the right so it has the negative slope, with a y- intercept of (0, -2) and a slope of m = rise/run = -5/3

The supremum of the set A does not exist (it is negative infinity), and the infimum of the set A is 1.

To define the supremum and infimum of the set A, we first need to determine the properties of the set.

The set A is defined as A = {(x-3)/(x-2) ∈ R : x < 0}.

To find the supremum (also known as the least upper bound) of A, we need to find the smallest value that is greater than or equal to all the elements of A. In other words, we are looking for the least upper bound of the set A.

Let's analyze the elements of A:

For x < 0, the expression (x-3)/(x-2) can take on different values depending on the value of x. We need to find the maximum value that this expression can reach for all x < 0.

As x approaches 0 from the left side, (x-3)/(x-2) approaches negative infinity. Therefore, there is no finite supremum for the set A.

Next, let's find the infimum (also known as the greatest lower bound) of A. We need to find the largest value that is less than or equal to all the elements of A. In other words, we are looking for the greatest lower bound of the set A.

Again, analyzing the elements of A:

As x approaches negative infinity, (x-3)/(x-2) approaches 1. Therefore, the infimum of the set A is 1.

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James should choose to play the 50/50, heads or tails, and match the card raffles, as these give him the best chance of winning.

James should play the 50/50 raffle, the heads or tails raffle, and the match the card raffle. The 50/50 raffle gives James a 50% chance of winning, since there are two possible outcomes. The heads or tails raffle also gives James a 50% chance of winning, since there are only two possible outcomes. The match the card raffle gives James a higher chance of winning, as there are multiple possible combinations of cards. James should not play the spin the wheel raffle, the dice roll raffle, or the guess the number raffle. The spin the wheel raffle is highly dependent on luck, as the outcome is completely unpredictable. The dice roll raffle also has a low chance of winning, as the outcome is dependent on the roll of the dice. The guess the number raffle has a low chance of winning, as there are many possible numbers that could be guessed. In summary, James should choose to play the 50/50, heads or tails, and match the card raffles, as these give him the best chance of winning. He should not play the spin the wheel, dice roll, or guess the number raffles, as these have a low chance of winning.

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Answer:

330 000 m²

Step-by-step explanation:

1. Area of farm

\(A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}\)

2. Area for wheat

\(A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}\)

3.Area for olive trees

\(A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}\)

4. Area for sunflowers

Total area                  =                          1 000 000 m²

- Area for wheat        = 280 000 m²

- Area for olive trees = 390 000                                  

                                                                 670 000      

Area for sunflowers =                              330 000 m²

Sunflowers occupy 330 000 m².

Answer: 5.25

Step-by-step explanation:

Solve using PEMDAS,

(7 + 1)2 – (11 + 32) ÷ 4

(8)2 - (43) ÷ 4

16 - 10.75 = 5.25

The ratio of the number of unshaded to shaded squares is 7 : 3.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

It is also defined as the fraction of one quantity with respect to other.

The ratio of a and b is denoted as a : b.

Given is a grid of squares which is given below.

Total number of squares = 10

Of that,

Number of shaded squares = 3

Number of unshaded squares = 7

We have to find the ratio of unshaded to shaded squares in the grid which is 7 / 3 or 7 : 3.

Ratio of unshaded squares to shaded squares = 7 : 3

Hence 7 : 3 is the ratio of unshaded to shaded.

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The generated value X of the Exponential random variable is approximately 2.3817. This means that the Exponential random variable with an average lifetime of 5.8 years and a generated standard uniform value of 0.5647 has a value of approximately 2.3817 years. The answer is 2.3817.

To find the generated value X of the Exponential random variable, we can use the formula X = - (1 / λ) * ln(U), where λ is the rate parameter and U is the given standard uniform value.

To start, we need to calculate the rate parameter λ. The average lifetime of the Exponential distribution is given as 5.8 years, which means that the mean or expectation E(X) is also 5.8 years. We can calculate λ as follows:

E(X) = 1 / λ

5.8 = 1 / λ

λ = 1 / 5.8

Now, we can substitute the values of λ and U into the formula to find the generated value X:

X = - (1 / λ) * ln(U)

X = - (1 / (1/5.8)) * ln(0.5647)

X = - 5.8 * ln(0.5647)

X ≈ 2.3817

Therefore, the generated value X of the Exponential random variable is approximately 2.3817. This means that the Exponential random variable with an average lifetime of 5.8 years and a generated standard uniform value of 0.5647 has a value of approximately 2.3817 years. The answer is 2.3817.

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Answer:

p=5

Step-by-step explanation:

5p-30+11=4+(-3+p)

5p-19=1+p

5p-p=1+19

4p=20

p=5

The theorem that states that the sampling distribution of the sample mean is approximately normal when the sample size n is reasonably large is known as the Central Limit Theorem

The Central Limit Theorem is a statistical theorem that states that, given a sufficiently large sample size, the distribution of the mean of any sample will be approximately normal, regardless of the shape of the distribution from which the sample was drawn.

In other words, the theorem states that the mean of a large sample will be close to the mean of the population, and that the standard deviation of the distribution of the sample mean will be small.

The theorem is important because it provides a way to approximate the distribution of any sample statistic, as long as the sample size is large enough. This is useful because many statistical tests, such as hypothesis tests and confidence intervals, require that the data be normally distributed.

The theorem is also important because it provides a way to quantify the amount of error that is introduced when a sample is used to estimate a population parameter. This is known as the standard error, and it is equal to the standard deviation of the distribution of the sample mean divided by the square root of the sample size.

The Central Limit Theorem is one of the most important theorems in statistics, and it is widely used in many different fields.

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Population: All American households.

Sample: The 1780 American households surveyed.

Individuals: The American households participating in the survey.

In the given scenario, we have a survey of 1780 American households that found 59% of the households own a computer. Let's identify the population, sample, and individuals in the study:

Population: The population refers to the entire group or larger set of individuals that we are interested in. In this case, the population would be all American households.

Sample: The sample is a subset of the population that is chosen to represent the population accurately. In this situation, the survey includes 1780 American households. Therefore, the sample is the 1780 households that were surveyed.

Individuals: The individuals in the study are the specific units or elements being surveyed or examined. In this case, the individuals are the American households that participated in the survey. Each household represents an individual within the study.

To summarize:

Population: All American households.

Sample: The 1780 American households surveyed.

Individuals: The American households participating in the survey.

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Answer:

21 Oreos

Step-by-step explanation:

2 × 3 = 6

7 × 3 = 21

hope this helps

Answer:

Data Visualization Tools

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

a ratio between two different units

for example 60miles per 5 hours

Step-by-step explanation:

let me know if you need unit rate yoo :)

Answer:

A certain amount of hours

Step-by-step explanation:

The coefficients of static and kinetic friction, μs = 0.3 and μk = 0.2, respectively, describe the interaction between the 50-kg crate and the ground.

Friction is a force that opposes the relative motion or tendency of motion between two surfaces in contact. There are two types of friction: static friction and kinetic friction.

1. Static friction: Static friction comes into play when there is no relative motion between the surfaces in contact. It prevents the object from moving until a certain force is applied to overcome it. The coefficient of static friction, denoted as μs, quantifies the maximum force needed to start the motion. In this case, the coefficient of static friction is μs = 0.3, indicating that a force of up to 0.3 times the normal force can be applied before the crate starts to move.

2. Kinetic friction: Kinetic friction occurs when there is relative motion between the surfaces. Once the crate starts moving, the force required to keep it in motion is different from the force needed to overcome static friction. The coefficient of kinetic friction, denoted as μk, represents the ratio of the kinetic friction force to the normal force. In this case, the coefficient of kinetic friction is μk = 0.2, indicating that the force required to keep the crate moving is 0.2 times the normal force.

The coefficients of friction depend on various factors, such as the nature of the surfaces in contact, their roughness, and the presence of any lubricants. These coefficients are experimentally determined and provide useful information in analyzing and predicting the behavior of objects in contact.

By knowing the coefficients of static and kinetic friction, engineers and designers can assess the stability of objects, determine the forces required to initiate motion, and make informed decisions about surface materials and lubrication. Additionally, the coefficients of friction are crucial in applications such as transportation, where minimizing friction is desirable for efficient movement and reducing energy consumption.

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The driver could have traveled up to 5 miles for the delivery.

Let's denote the number of miles the driver traveled by "m".

According to the problem, the delivery service charged $1.25 for the delivery itself, and $0.75 for each mile traveled. This can be written as:

Total cost = $1.25 + $0.75 * m

We know that the service charged the customer $5.75, so we can set up an equation:

$5.75 = $1.25 + $0.75 * m

Solving for m, we get:

\(m = ($5.75 - $1.25) / $0.75 = 5\)

To represent this on a number line, we can draw a line labeled from 0 to 5, with tick marks at each integer value.

We can label the tick mark at 0 as "0 miles" and the tick mark at 5 as "5 miles".

We can also indicate that the cost of the delivery increases as we move to the right by drawing an arrow pointing to the right, and labeling it "increasing cost".

Here's an example of what the number line might look like:

                   0         1         2         3         4         5

                    |---------|---------|---------|---------|---------|

                    0 miles                                            5 miles

                    increasing cost  ⟶

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The critical value of the correlation coefficient for a two-tailed test at alpha = 0.05 with a sample size of n = 23 is approximately plus/minus 0.497.

To understand why this is the case, we need to consider the distribution of the correlation coefficient, which follows a t-distribution. In a two-tailed test, we divide the significance level (alpha) equally between the two tails of the distribution. Since alpha = 0.05, we allocate 0.025 to each tail.

With a sample size of n = 23, we need to find the critical t-value that corresponds to a cumulative probability of 0.025 in both tails. Using a t-distribution table or statistical software, we find that the critical t-value is approximately 2.069.

Since the correlation coefficient is a standardized measure, we divide the critical t-value by the square root of the degrees of freedom, which is n - 2. In this case, n - 2 = 23 - 2 = 21.

Hence, the critical value of the correlation coefficient is approximately 2.069 / √21 ≈ 0.497.

Therefore, the correct answer is A. Plus/minus 0.497.

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Answer:

the answer in the blank is 9

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

What is the likelihood that for at least a single two numbers is 1 if they are randomly selected from the range of 1, 2, 3, 4, 5, and 6? To remove one from the chance that no choices for 1 are made:

How do probability and an example work?

The likelihood of success is a measure of probability. the number of potential outcomes. For instance, the chance of tossing a coin & obtaining heads is 1 in 2, as there is only one way to acquire a head and there are a total of 2 possible outcomes (a head or tail).

We denote this with P(heads)

12 P(at least 1 one) = 1 - P. (no ones)

P(no ones) equals (5/6)*(5/6)

25/36 P(at least 1 one) equals (1 - 25/36)

11/36 P(sum higher than product) equals P(at least 1 one) = 11/36

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Answer:

6 thirds

Step-by-step explanation:

Answer: 53

Step-by-step explanation:

Answer:

-3x² - 3x - 2

Step-by-step explanation:

simplify the first part

-2x * x - 2x * 3

-2xx - 6x

simplify the second part

(x-1)(x-2)

x * x + x * -2 + -1 * x + -1 * -2

xx + -2x - x + 2

xx - 3x + 2

subtract the simplified expressions

-2xx - 6x - (xx - 3x + 2)

-2xx - 6x - xx + 3x - 2

-3xx - 3x - 2

Sarah's charges per hour for working during the week will be $9.5.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.

Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be

45x + 5y = 902.5           ...1

50x + 10y = 1045

25x + 5y = 522.5          ...2

Subtract equation 2 from equation 1, then we have

45x - 25x = 902.5 - 522.5

20x = 380

x = 19

And the value of y will be

25 (19) + 5y = 522.5

475 + 5y = 522.5

5y = 47.5

y = 9.5

Sarah's charges per hour for working during the week will be $9.5.

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The value of the piecewise function for f(3) is 4

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

f(x) = 2x if x < 1

f(x) = 1/2x + 5/2 if x >= 1

The function f(3) implies that we make use of the function

f(x) = 1/2x + 5/2

This is because it is valid for x >= 1

substitute the known values in the above equation, so, we have the following representation

f(3) = 1/2 * 3 + 5/2

Evaluate

f(3) = 4

Hence, the piecewise function for f(3) is 4

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Answer: $1,312.5 difference

Step-by-step explanation:

1050 x 1.5 = 1575

1575 x 1.5 = 2,362.5

2,362.5 - 1050 = 1,312.5