angle 1 and angle 7 form a linear pair

The number of bicycle  store needs to sell each month to break even is, 55

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

A bicycle store costs ​$3850 per month to operate

The store pays an average of ​$75 per bike

The average selling price of each bicycle is ​$145

The number of sells to break even = ?

Suppose, the number of sales is x

So, it can be written as,

For break even condition

75x + 3850 = 145x

145x - 75x  = 3850

70x = 3850

    x = 3850/70

    x =  55

Hence, the number of sales is 55

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Answer:

11-3x

Step-by-step explanation:

1) Multiply 5(1-x). To do this, you multiply 5 by both x and 1. You should get     5-5x.

1) Next, multiply 2(x+3). You should get 2x+6.

3) Finally, add like terms. Add 2x and -5x together and add 6 and 5 together. You should get -3x and 11.

The answer is 11-3x.

Based on the given information, it is unclear what type of data transformation has been performed. It is difficult to determine whether the technical condition of having approximately equal population standard deviations across each group has been satisfied.

However, if the data transformation has not significantly altered the standard deviations of the original data, then it is possible that this technical condition has been met. A statistical test, such as Levene's test, can be used to assess whether the assumption of equal variances has been violated. If the p-value from this test is greater than the significance level (e.g., 0.05), then we can conclude that there is no evidence to suggest that the population standard deviations are significantly different between groups.

Overall, without more information about the type of data transformation and the results of statistical tests, it is difficult to definitively state whether the technical condition has been satisfied on the transformed data.

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To find the expected value of a discrete probability distribution, we multiply each possible outcome by its probability and then sum the products. In this case, we have:

E(X) = 0(3/16) + 1(3/16) + 2(1/8) + 3(1/2)

    = 0 + 3/16 + 1/4 + 3/2

    = 1.5

Therefore, the expected value of this distribution is 1.5.

In probability theory, the expected value (also known as the mean or average) of a discrete probability distribution is a measure of the central tendency of the distribution. It represents the theoretical long-term average of the values taken by a random variable over an infinite number of trials.

To find the expected value of a discrete probability distribution, we multiply each possible value of the random variable by its corresponding probability and add up the products. In other words, if X is a discrete random variable with possible values x1, x2, ..., xn and corresponding probabilities p1, p2, ..., pn, then the expected value E(X) is:

E(X) = x1 * p1 + x2 * p2 + ... + xn * pn

For example, consider the discrete probability distribution given in the table:

x     |  0  |  1  |  2  |  3  

pr(x) | 3/16| 3/16| 1/8 | 1/2

To find the expected value of this distribution, we multiply each possible value of X by its corresponding probability and add up the products:

E(X) = 0*(3/16) + 1*(3/16) + 2*(1/8) + 3*(1/2) = 0 + 0.1875 + 0.25 + 1.5 = 1.9375

Therefore, the expected value of this distribution is 1.9375.

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Answer:

3/4 (0.75)

Step-by-step explanation:

sin r = 15/20 = 3/4 (0.75)

Answer:

x=c-g or x=-g+c

Step-by-step explanation:

Answer:

f o g(x) = 3x - 7

Step-by-step explanation:

I have attached my work in the explanation.

Answer:

2.8625

This is 916 divided by 320

Answer:

Full Answer - 2.8625

Rounded - About 3

Nearest Tenth - 2.9

Nearest Hundredth - 2.86

Step by Step:

Shown Below  

Hope this Helps

The number of simple events in this experiment is 16.

The correct answer to the given question is option c.

The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.

The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.

Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.

Therefore, the number of simple events in this experiment is 16, which is option (c).

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Answer:

B wpuld be your answer

Step-by-step explanation:

Its the nearest ft from 70.

Given that the client requested a permanent haircut, there is a 66.66% chance that he would request a haircut.

The following calculation must be performed in order to determine the probability that a randomly selected client requested a haircut given that he has requested a permanent: Given that a salon owner noted what types of services its clients requested last week, the results showed that 5% requested dye only, 30% haircut and dye, 35% requested haircut only, 10% hair cut and permanent, 5% permanent only, and 15% other.

Add all of the options that include a perm, and then use a cross multiplication to figure out how many of those options include a haircut.

10 (permanent and haircut) x 5 (permanent only) = 15 15 = 100 10 = X 10 x 100/15 = 66.66 = X

Thus, the probability that a randomly selected client would have requested a haircut given that he had previously requested a permanent is 66.66%.

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Full Question = a salon owner noted what types of services its clients requested last week. Here are the results. 5% dye only, 30% haircut and dye, 35% haircut only, 10 % haircut and permanent, 5% permanent only, and 15% other. Find the probability that a randomly chosen client requested a haircut given the requested a permanent. P(haircut l permanent).

The main difference between an area variance and a use variance is that area variance allows for an exception to zoning regulations related to the physical characteristics of a property, while use variance allows for an exception to regulations related to the intended use of a property.

An area variance is typically granted when a property owner is unable to comply with zoning regulations related to setbacks, building height, lot coverage, or other physical characteristics of a property.

In contrast, a use variance allows a property owner to use their property for a purpose that is not permitted under the current zoning regulations. This may include using a residential property for commercial purposes or using a commercial property for residential purposes.

Use variances are generally more difficult to obtain than area variances, as they require a showing of a unique hardship or practical difficulty that cannot be addressed through other means.

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Answer:

168

Step-by-step explanation:

24cm by 7

= L x W

= 24 x 7

A = 168

Answer:

84 cm²

Step-by-step explanation:

The fromula for the area of a triangle is:

\(A=\frac{hb}{2}\)

h - height

b - base

We are given the measurements of 24cm and 7 cm.

\(A=\frac{7*24}{2}\\\\A=\frac{168}{2}\\\\\boxed{A=84}\)

The area of the triangle should be 84 cm².

Hope this helps.

The Z scores a way to standardize and compare data, as well as to identify outliers.

In simple terms, Z bases give information about how far a data point is from the means of the data set in standard deviation units. The original non-standardized heights, on the other hand, did not guarantee this information.

Z scores are used to standardize data and are useful when comparing two or more different data sets. By converting the original data to Z scores, we can compare data that is on different scales or has different units.

For example, suppose we have two data sets: one with heights measured in inches and the other with weights measured in pounds. We cannot compare these data sets directly as they are at different scales. However, by converting them to Z scores, we can compare them on the same scale.

In addition, the obtained Z's provided a way to identify outliers in the data set. Outliers are data points that are unusually far from the means of the data set. Z scores greater than 3 or less than -3 are generally considered outliers.

In general, the obtained bases are a way to standardize and compare data, as well as to identify outliers.

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Step-by-step explanation:

I think you made a mistake. (3,0) and (3,-12) are two points not possible for an expression.

Repost the question if you can.

(a) The standard deviation of the required distribution for vitamin C is approximately 7.98 mg/d.
(B) The plot should show a bell-shaped curve centered at 60 mg/d, with the RDA located slightly to the right of the center.

(a) To determine the standard deviation of the required distribution for vitamin C, we can use the information provided about the estimated average requirement (EAR) and the recommended dietary allowance (RDA). The EAR is the mean of the distribution (60 mg/d), and the RDA (75 mg/d) is assumed to be the 97.72 percentile.

We can use the Z-score formula to find the standard deviation:

Z = (X - μ) / σ

Where Z is the Z-score, X is the value of the RDA, μ is the mean (EAR), and σ is the standard deviation.

First, find the Z-score corresponding to the 97.72 percentile. Using a standard normal table or calculator, we find that Z ≈ 2.0.

Now, plug in the values into the Z-score formula:

2.0 = (75 - 60) / σ
σ = (75 - 60) / 2.0
σ = 15 / 2.0
σ = 7.5 mg/d
Plugging in the values, we get:
1.88 = (75 - 60) / σ

Solving for σ, we get:
σ = (75 - 60) / 1.88 = 7.98

The standard deviation of the required distribution is 7.5 mg/d.

(b) To sketch the distribution of vitamin C requirements for 19- to 30-year-old women, follow these steps:

1. Draw a normal distribution curve.
2. Mark the mean (EAR) at 60 mg/d on the horizontal axis.
3. Mark the RDA at 75 mg/d and the UL at 2000 mg/d on the horizontal axis.
4. Indicate that the standard deviation is 7.5 mg/d.

The distribution of vitamin C requirements for 19- to 30-year-old women is Normal, with a mean of 60 mg/d and a standard deviation of 7.98 mg/d. The EAR, RDA, and UL can be marked on the plot as follows:

- EAR: 60 mg/d, located at the center of the distribution
- RDA: 75 mg/d, located at the 97.72 percentile of the distribution
- UL: 2000 mg/d, located at the far right end of the distribution (beyond the range of the plot)

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Answer:

\(D = 50\)

Step-by-step explanation:

Given

\(I = 10^{-7}W/m^2\) --- Intensity

Required

Determine the decibel level (D)

This is calculated as:

\(D = 10 * log(\frac{I}{I_n})\)

Where:

\(I_n =\) The threshold intensity

\(I_n =1 * 10^{-12}W/m^2\)

So, we have:

\(D = 10 * log(\frac{I}{I_n})\)

This gives:

\(D = 10 * log(\frac{10^{-7}W/m^2}{1 * 10^{-12}W/m^2})\)

\(D = 10 * log(\frac{10^{-7}}{10^{-12}})\)

Apply law of indices

\(D = 10 * log(10^{-7--12})\)

\(D = 10 * log(10^{5})\)

Apply law of logarithm

\(loga^b = b\ log(a)\)

So, we have:

\(D = 10 * 5 * log(10)\)

\(log(10) =1\)

So:

\(D = 10 * 5 *1\)

\(D = 50\)

Hence, the decibel level is 50

Answer:

-5,962 m

Step-by-step explanation:

Since the point is below sea level, it will be a negative number as an integer.

it is 5,962 m below sea level, so as an integer, it will be -5,962 m.

So, the elevation as an integer is -5,962 m

As per the given interest rates, she have to pay $103.95  in fees for her actively managed fund.

Interest:

Interest means the amount to be paid on the borrowed money or the amount received on the money lent.

Given,

Alizeh invests $9,000 in an actively managed mutual fund that has an annual expense ratio of 1.1%. The investment earns a 5% rate of return.

Here we need to find the fees for her actively managed fund.

First we have to change rate of return percent to decimal form,

That is,

5% = 0.05

Now, we have to multiply the amount and decimal to get Alizeh 's profit,

=> 9000 x 0.05

=> 450

Therefore, the fund's total after 1 year, including initial investment and profit is

=>9000 + 450

=> 9450.

Now, we have to change fee percent  that is the expense ratio into decimal form,

=> 1.1% = 0.011

Therefore, the fees for her fund is,

=> 9450 x 0.011

=> 103.95

Therefore, she have to pay $103.95 for her managed fund.

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If five regular six sided dice are rolled then there are 540 ways through which sum of numbers coming after rolling will be 14.

Given Five regular six sided dices are rolled.

From stars and bars the number of n tuples of natural numbers summing up to k is given by

\((k-1\\n-1)\)

For k=14 and n=5

\((14-1 \\5-1)\)

=\((13\\4)\)

=715

Some of these will contains a number greater than 6.To get the number of 5 tuples that correspond to 5 rolls of a six sided dice we need to subtract from 715.

Total 5 tuples summing up to 14 for which no element is greater the 6 is given as under:

N=\((13/4)-5(6/3)-5(5/3)-5(4/3)-5(3/3)\)

where last term comes from the 5 tuples containing one 10 and fours'

=715-100-50-20-5

=540

Hence there  are 540 such ways which sum to 14 when five six sided dices are rolled.

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Answer:

depends, if he has 6 then he still has 6

if he gave her 3 of his six, then ate the pies, he has 3

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

d – 22 ≥ 28

d ≥ 50  

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}\)

⸻⸻⸻⸻\(\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}\)

⸻⸻⸻⸻

\(\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}\)

⸻⸻⸻⸻

\(\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}\)

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x=-2

Step-by-step explanation:

4(2x – 8) = 8(4x + 2)

Distribute

8x -32 = 32x+16

Subtract 8x from each side

8x-32 -8x = 32x+16-8x

-32 = 24x+16

Subtract 16 from each side

-32-16 = 24x+16-16

-48 = 24x

Divide by 24

-48/24 = 24x/24

-2 =x

Answer:

x + 3200 greater than or equal to 10000

Step-by-step explanation:

you need 6800 more