One equation in a system of linear equations has a slope of -3. The other equation has a slope of 4. How many solutions does the system have? Explain.

Answer: The probability is 3 out of 20

Step-by-step explanation:

The average number of credit hours per semester for all students at the local college is 9.2.

It is given that,

at the local college a study sound that students earned an average of 9.2 credit hours per semester.

⇒ x = 9.2 credit hours per semester

Therefore by the central limit theorem,

x = μ  = 9.2 credit hours per semester

The central limit theorem states that the distribution of a sample variable approximates a normal distribution as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population's actual distribution shape.

Therefore the average number is 9.2 credit hours per semester for all students at the local college.

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Answer:

3/5=18/30

Step-by-step explanation:

3/5*6/6=18/30

Answer:

7c,m

Step-by-step explanation:

you bad at math im smart your not sike you are smart  haha

Answer:

7%

Step-by-step explanation:

Answer:

  15.30

Step-by-step explanation:

You want f(2) if f(x) is an exponential function such that f(-3) = 9 and f(7) = 26.

Using the given points, we can write the function as ...

  \(f(x)=9\left(\dfrac{26}{9}\right)^{\dfrac{x-(-3)}{7-(-3)}}=9\left(\dfrac{26}{9}\right)^{\dfrac{x+3}{10}}\)

Then the value of f(2) is ...

  \(f(2)=9\left(\dfrac{26}{9}\right)^{\dfrac{2+3}{10}}=9\sqrt{\dfrac{26}{9}}=3\sqrt{26}\approx 15.29706\\\\\boxed{f(2)\approx15.30}\)

__

Additional comment

The form of the function is ...

  f(x) = a·b^((x-x₀)/i)

where a=value at the beginning of the interval, b is the ratio of ending to beginning values, and i=interval width: x₁ -x₀. This can be written as an exponential function of e, but this is the simplest way to use given values.

Here, the "interval" is -3 to +7, and the corresponding beginning and ending values are 9 and 26, respectively.

Answer:

25.708 yd

Step-by-step explanation:

Perimeter of semicircle = πr + d = 5 * π + 10 yd ≈ 25.708 yd

Direct variation equations have the following form:

Where "k" is the Constant of variation.

In this case, analyzing the information given in the exercise, you know that the equation for that Direct variation has this form:

You know that:

When:

So you need to make the conversion from feet to miles. Since:

You get:

Then, you can find the value of "k" as following:

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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The value of x is 14.7224.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Sin 60° = x/17 ____(1)

Sin 60° = √3/2 _____(2)

From (1) and (2) we get,

√3/2 = x/17

x = 17√3/2

x = 17 x 1.73205 / 2

x = 14.7224

Thus,

The value of x is 14.7224.

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Answer: yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of sides:

Area of the bottom:

Total area:

Paint needed:

Answer:

b=3.464 a=2.121

Step-by-step explanation:

Answer:

49

Hope this hleps :)

Step-by-step explanation:

19.6 ÷ 0.4 = 49

Check:

49 × 0.4 = 19.6 ✓

Answer:

\(9\frac{3}{16}\)

Step-by-step explanation:

My steps are shown below.

\(\frac{49}{64}(12)\)

\(\frac{49}{64} * \frac{12}{1}\)

\(\frac{49*12}{64}\)

\(\frac{588}{64}\)

\(9\frac{12}{64}\)

\(9\frac{3}{16}\)

Hopefully that was helpful! Let me know if you have any more questions.

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

If Amy, Ravi, and Bob have a total of $127 in their wallets. Bob has 4 times what Ravi has. Ravi has $7 less than Amy. The amount they have  have in their wallets is : Army has $22.33, Ravi $89.33, Henry $15.33.

Let Army represent x dollars

Let Ravi represent   4x

Let Bob represent  x - 7

Hence,

x + x - 7 + 4x = 127

Simplify by combining like terms

6x - 7 = 127

Add 7 to both sides of the equation leaving 6x

6x = 127+7

6x = 134

x =134/6

x = 22.33

x = Army has $22.33

Ravi

4x  where x = 22.33

4(22.33) = 89.33

Bob

x - 7 where x = 22.33

22.33 -7 = 15.33

Prove :

Ravi + Bob + Henry = 127

= 22.33 +89.33 + 15.33 = 126.99 ≅127 (Approximately)

Therefore the have $22.23, $89.33 and 15.33 respectively.

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Answer:

The decimal would be moved back 3 spaces giving the answer 6,093

-48.95820 is the result of the products of the decimal numbers (-2.655) and (18.44).

Given the data in the question;

(-2.655) multiply by  (18.44)

First, we determine the total decimal places in the numbers.

We have 5.

Next, we ignore the decimal places and carry out the multiplication operation as if operating on two integers.

                                - 2 6 5 5

                ×                 1 8 4 4

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                +              1 0 6 2 0

                +           1 0 6 2 0

                +        2 1 2 4 0

                +       2 6 5 5

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

               =      - 4 8 9 5 8 2 0

Now, rewrite the result of the product with the 5 total decimal places.

= -48.95820

Therefore, the result of the multiplication operation is -48.95820.

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The opportunity of drawing a chocolate from the bag is 0.4, therefore, the answer is A. 0.4.

Steven has a bag of 20 pieces of candy, out of which 8 are chocolates. If he draws one piece of sweet at random, the opportunity of it being a chocolate may be calculated through dividing the wide variety of chocolates in the bag with the aid of the full quantity of chocolates inside the bag. In this situation, there are 8 chocolates out of 20 total candies.

The formulation to calculate the opportunity is:

P(chocolate) = number of candies / total range of candies

Substituting the given values, we get:

P(chocolate) = 8 / 20

Simplifying this fraction, we get:

P(chocolate) = 0.4

Consequently, the opportunity of drawing a chocolate from the bag is 0.4  

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the account balance can change quickly and frequently based on transactions and fees, so it's important to keep track of your transactions carefully and reconcile your account regularly to ensure that you have an accurate balance.

Unfortunately, there is no checkbook or transaction provided in your question. Without knowing the details of the transaction and the starting balance, it is not possible to determine the account balance on January 28.
However, I can provide some general information on how to calculate account balances based on transactions in a checkbook. To determine the account balance at any given point in time, you need to start with the starting balance (which is typically the balance on the previous statement) and then add or subtract the transactions that have occurred since that time.
To do this, you would need to look at the transactions in the checkbook and classify them as either deposits or withdrawals. Deposits are amounts of money that have been added to the account, while withdrawals are amounts of money that have been taken out of the account.
For each deposit, you would add the amount to the starting balance. For each withdrawal, you would subtract the amount from the starting balance. Once you have gone through all the transactions, the resulting amount should be the account balance.

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answer in the simplest form

Answer:

\(\sf \dfrac{24}{35}\)

Step-by-step explanation:

Use KCF method for fraction division.

\(\sf \dfrac{-6}{7} \div \dfrac{-5}{4}=\dfrac{-6}{7}*\dfrac{-4}{5}\)

               \(\sf =\dfrac{(-6)*(-4)}{7*5}\\\\=\dfrac{24}{35}\)

Answer:

No, (x-2) is not a factor of the polynomial

Step-by-step explanation:

If (x-2) is factor of f(x) then

f(2)=0. (remainder theorem)

BUT HERE f(2) IS

2³-2(2)²+2(2)+3=8-8+4+3=7

HENCE (x-2) IS NOT A FACTOR OF f(x)

Answer: Choice D

\(\frac{9\sqrt{2}}{2}\)

=============================================

Explanation:

We have a 45-45-90 triangle. If x is the leg length, then y = x*sqrt(2) is the hypotenuse.

Solving for y gets us \(x= \frac{y}{\sqrt{2}} = \frac{y\sqrt{2}}{2}\)

In this case, y = 9 is the hypotenuse which then leads to choice D.

------------

Another way to find the answer is to use the pythagorean theorem

a = x and b = x are the two congruent legs

c = 9 is the hypotenuse

Solving a^2+b^2 = c^2, aka x^2+x^2 = 9^2, will lead to \(x = \frac{9\sqrt{2}}{2}\)

Answer:

B

Step-by-step explanation:

X is about 4.5 times the amount given, so B. 337 1/2

Answer:

337.5 or 337½

Step-by-step explanation:

y∞x

y=kx(where k is the constant)

75=½k

cross multiplication

75×2=k

150=k

therefore the formula connecting x,k and y is y=150x

y=150×2¼

y=150×9/4

y=1350÷4

y=337.5or 337½

Answer: The first answer choice

Step-by-step explanation:

In the first answer choice, the distance increases for two units, then decreases for three units. The distance then increased for 4 units, stayed level for 3 units, and then decrease slowly for 6 units. The graph exactly follows this trend.

The second answer is immediately wrong because it relates the distance between the car and the concert venue. It never mentioned that the car moved, and the venue obviously can't move.

The third answer says that after the first increase/decrease, Tyler went to go text his friends. However, the graph does not show a flat area after the first increase/decrease.

The fourth answer, like the second answer is immediately wrong because homes and schools can't move.

This is my first response, so I hope it was helpful. :D

a) Yes, It does. The scatterplot support the newspaper report about number of semesters and starting salary.

b) The value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables.

a) The scatterplot appears to show a positive association between the number of semesters needed to complete an academic program and the starting salary in the first year of a job. As the number of semesters increases, the starting salary generally increases as well. Therefore, the scatterplot supports the newspaper report.

b) The coefficient of determination, or R-squared value, represents the proportion of the variation in the dependent variable (starting salary) that is explained by the independent variable (number of semesters). A value of 0.335 means that 33.5% of the variation in starting salary is explained by the number of semesters. This value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables. A value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation. The correlation coefficient for this data is not provided in the problem, so it is not possible to determine it. Without the correlation coefficient, it is not possible to interpret the strength and direction of the association between number of semesters and starting salary.

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Answer:

Step-by-step explanation:

3x-6 = 33

= 3x = 33 + 6

= 3x = 39

x = 13