a group of six friends went out fir dinner and equally split the dinner bill. if they each paid 24.70 what was the dinner bill?​

Answer:

Answer, is 85

Step-by-step explanation:

You're welcome.

Answer:

17

Step-by-step explanation:

We will use angle A as theta in our trigonometric function equation.

We are dealing with hypotenuse and opposite, so the trig ratio is sine.

\(sin(39) = x/27\)

\(27sin(39)=x\)

\(27(0.6293) = x\)

\(x=16.992\)

When rounded to the nearest tenth, \(x=17\)

Answer:

x = -3

y = -2

Explanation:

We were given the following information:

Jeanette is thinking of two numbers

Let the 2 numbers be represented by ''x'' & ''y''

Adding 5 times the first number and 2 times the second number gives a total of -19.

Adding 3 times the first number and 2 times the second number gives -13

We will use this information to develop the equations below represented as:

We will proceed to solve for the 2 numbers as shown below:

x = -3

y = -2

We need to find the equation using the given points.

First, we need to find the slope, which is given by the next formula:

Use P1(1,2) and P2(5,10).

Replacing:

Now, use the formula for slope-intercept form:

Replace using P(1,2) and m = 2. Then:

Answer:

1. continuous random variable

2. not a random variable

3. a continuous random variable

Step-by-step explanation:

The classifications are as follow

a)  The height of the player reported in the game day program is treated as a continuous random variable as these values could be determined through measuring them

b)  The color of student car is not a random variable as it does not contain any quantitative data or we can say numerical data

c)  The exact weight of the bag is a continuous variable as it is lie between the range

The remainders of the polynomial divison are 18, -9, 10 and 0 and the factor are (x + 2)(3x² + 2x - 1) and (x - 2)(x² - 2x - 15)

The remainder theorem states that

Given the polynomial f(x) divided by x - a, the remainder is b if

f(a) = b

So, we have

Polynomial (10)

(x² + 9) ÷ (x - 3)

Remainder = 3² + 9

Remainder = 18

This means that

x - 3 is not a factor of (x² + 9)

Polynomial (11)

(x³ - 4x + 6) ÷ (x + 3)

Remainder = (-3)³ - 4(-3) + 6

Remainder = -9

This means that

x + 3 is not a factor of (x³ - 4x + 6)

Polynomial (12)

(x⁴ + 4x³ + 16x - 35) ÷ (x + 5)

Remainder = (-5)⁴ + 4(-5)³ + 16(-5) - 35

Remainder = 10

This means that

x + 5 is not a factor of x⁴ + 4x³ + 16x - 35

Polynomial (13)

(2x³ - 10x² - 71x - 9) ÷ (x - 9)

Remainder = 2(9)³ - 10(9)² - 71(9) - 9

Remainder = 0

This means that

x - 9 is a factor of 2x³ - 10x² - 71x - 9

Polynomial (14)

Using a synthetic method of quotient, we have the following set up

-2 |   3    8   3  -2

    |__________

Multiply -2 by 3 to get -6, and write it below the next coefficient and repeat the process

-2 |   3    8   3  -2

    |____-6_-4_2____

       3     2 -1     0

So, the factor is (x + 2)(3x² + 2x - 1)

Polynomial (15)

Using a synthetic method of quotient, we have the following set up

2 |   1    -4   -11  + 30

   |__________

Multiply 2 by 1 to get 3, and write it below the next coefficient and repeat the process

2 |   1    -4   -11  + 30

   |____2__-4_-30__

       1    -2    -15   0

So, the factor is (x - 2)(x² - 2x - 15)

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Answer:

1440 hrs

Step-by-step explanation:

5 is the number of hours he works, and 45 is the total money David makes.

Two or more expressions with an Equal sign is called as Equation.

Given that David  offers his clients two different service options.

Plan A charges $20 per month plus $5 an hour.

Plan B charges $30 per month plus $3 an hour.

y = 5x + 20 and y = 3x + 30 are the system of equations to determine how much money he can make on both plans.

y = 5x + 20..(1)

y = 3x + 30..(2)

Substitute equation 2 from equation 1.

y-y=5x+20-3x-30

0=2x-10

2x=10

Divide both sides by 2

x=5.

Now substitute x in equation 1.

y=25+20

y=45

Hence, 5 is the number of hours he works, and 45 is the total money David makes.

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The domain is 0 ≤ b ≤ 6 and the range is c ≥ 30.In this situation, the function that models the total weight of a shipping crate is given as c = 24b + 30, where c represents the total weight of the crate and b represents the number of boxes packed inside.

To determine the domain and range of this function, we need to consider the constraints of the problem. It is mentioned that each crate holds a maximum of 6 boxes.

Domain: The domain refers to the set of input values that the function can accept. In this case, the number of boxes (b) cannot exceed 6 since that is the maximum capacity of each crate. Therefore, the domain of the function is 0 ≤ b ≤ 6, where b is a non-negative integer.

Range: The range represents the set of possible output values of the function. The total weight of the crate (c) is determined by the number of boxes packed inside. Since the weight of the crate increases linearly with the number of boxes, there is no upper limit to the range. The range of the function is c ≥ 30, where c is a non-negative integer representing the weight of the crate.

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Step-by-step explanation:

72km/h = 72,000m/3,600s = 20m/s.

Using Kinematics, we have

v = u + at

= (20m/s) + (-2m/s²)(5s)

= 10m/s.

Hence the velocity will be 10m/s. (or 36km/h)

The value of x using the theorem of intersecting secants is 10

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

intersecting secants

Using the intersecting secants equation, we have

8 * (8 + x) = 6 * (6 + 18)

Evaluate the like terms

So, we have

8 * (8 + x) = 6 * 24

Divide both sides by 8

8 + x = 6 * 3

So, we have

8 + x = 18

Subtract 8 from both sides

x = 10

Hence, the value of x is 10

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Answer:

$513.75

Step-by-step explanation:

An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends.

$498.75 + $2.50 × x

If he works 6 hours on the weekend in addition to the 35 hours during the week:

$498.75 + $2.50 × 6

= $498.75 + $15

= $513.75

Here is the code that can be used to find the MLE of M allele in the 206th row of Mourant dataset using the HardyWeinberg package in R:

# Load HardyWeinberg package

library(HardyWeinberg)

# Load Mourant dataset

data(Mourant)

# Extract the genotype counts for the 206th row

counts <- Mourant[206, 2:4]

# Calculate the MLE of M allele frequency

mle <- hw_mle(counts)

# Extract the MLE of M allele frequency

mle_M <- mle$p[2]

Note that the code assumes that the Mourant dataset is already installed and loaded in R. If the dataset is not installed, you can install it by running install.packages("HardyWeinberg") in R.

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Answer:

Continuously

Step-by-step explanation:

Compounded continuously:

A = Pe^(rt)

A = 11,000 e^(0.0625 × 10)

A = 20,550.71

Compounded semiannually (twice per year):

A = P(1 + r)^t

A = 11,000 (1 + 0.063/2)^(2×10)

A = 11,000 (1 + 0.0315)^20

A = 20,453.96

Answer:

I don't have an answer to this question but one tip is to try using GCF (greatest common factor)

it is a big help when I try to do math

SOLUTION:

Step 1:

In this question, we are given the following:

A beach volleyball court is 8 meters wide and 17 meters long.

The rope used for the boundary line costs $1.00 per meter.

How much would it cost to buy a new boundary line for

the court?

Step 2:

The details of the solution are as follows:

Since the beach volleyball is 8 meters wide and 17 meters long.

Then, the boundary line ( perimeter ) =

The rope used for the boundary line costs $1.00 per meter.

CONCLUSION:

The final answer is:

Answer:

I think they are SAS but I'm not sure

The Solution:

The given figure is

We are required to find the value of x in the given figure above.

Step 1:

We shall find an expression for m by considering the right-angled triangle ABD.

By the Pythagorean Theorem,

Similarly, considering the right-angled triangle ACD, we can find an expression for n.

By the Pythagorean Theorem,

Now, in the right-angled triangle ABC, we have by the Pythagorean Theorem that:

Putting eqn(1) and eqn(2) into eqn(3), we get

Taking the squared root of both sides, we get

Therefore, the correct answer is 8.

The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

Option D is the correct answer.

A personal loan is a type of loan that individuals can take out from a bank, credit union, or online lender to cover personal expenses such as home improvements, medical bills, or other unexpected expenses.

We have,

The benefit of obtaining a personal loan can vary depending on the specific terms and conditions of the loan, but typically it allows individuals to borrow a larger amount of money upfront with a fixed interest rate and set repayment schedule, which can be beneficial for large expenses such as home renovations, debt consolidation, or major purchases.

However, the interest rates and repayment terms can vary depending on the borrower's credit score, income, and other factors, so it's important to compare options and choose a loan that meets one's specific needs and budget.

Thus,

The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

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Answer:

Domain: [-4,4]

Step-by-step explanation:

Domain is representative of the space on the graph that x occupies. Because all the points are closed, there should be closed or inclusive brackets outside of the domain. Because the lowest inclusive point is -4, that should be the first domain point. The graph continues until -2, where that line stops, but the second line begins at -2, so we include this point too, and there is no need to mention it in the domain. The second line ends at 4, so that is the highest end of the domain and would be the second domain point. Therefore the domain is [-4, 4]. Remember to keep closed brackets because of the closed points.

Answer:

\(\huge\boxed{True\hookleftarrow}\)

Answer:

144

Step-by-step explanation:

3x2x2

the sum is 12, and after that you do 12^2

the final answer is 144

The number of distinct ways to arrange 2 orange marbles, 2 clear marbles, and 3 yellow marbles in a row will be 144.

A permutation is an act of arranging items or elements in the correct order.

There are 2 orange marbles, 2 clear marbles, and 3 yellow marbles.

Then the number of distinct ways to arrange 2 orange marbles, 2 clear marbles, and 3 yellow marbles in a row will be

⇒ (3 x 2 x 2)²

⇒ 12²

⇒ 144

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Answer: 14,605 pieces.

Step-by-step explanation:

In the second quarter, the company produced 795 pieces more than in the first quarter.

So, the total pieces produced in the second quarter can be calculated as:

6905 + 795 = 7700

The total pieces produced in the first semester (two quarters) can be calculated as:

6905 + 7700 = 14,605

Therefore, the company produced 14,605 pieces in the first semester.

The number of pieces the company produced in the first semester was 14,605 pieces.

The question asks to calculate how many pieces a company produced in the first semester, considering the production of two quarters.

In the first quarter, the company produced 6,905 pieces, as indicated in the question.

Already in the second quarter, the company produced 795 more pieces than in the first quarter, which means that the production in the second quarter was:

6,905 + 795 = 7,700 pieces.

To know the company's total production in the first semester, just add the productions of the two quarters:

6,905 + 7,700 = 14,605 pieces

Answer:

ummm the answer is very simple

The answer is 0/6

Step-by-step explanation:

\( \frac{1}{2 \times 3} - \frac{1}{6} \)

\( \frac{1}{6} - \frac{1}{6} \)

\(1 - 1 = \frac{0}{6} \)

The range of a function is the set of possible values that can be obtained from the dependent variable. The range of the function is: \(R: (500, \infty)\)

Given that:

\(Phone = \$500\)

\(Monthly\ Plan = \$60\)

Let the number of months be t. So, the function C(t) is calculated as follows:

\(C(t) = Phone + Monthly\ Plan \times t\)

\(C(t) = 500 + 60 \times t\)

\(C(t) = 500 + 60t\)

The range is calculated as follows:

The smallest possible value of t is 0 i.e. when no monthly subscription is done.

So, we have:

\(C(0) = 500 + 60\times 0= 500 + 0 = 500\)

And the highest is \(\infty\) i.e. for a large value of t

So, we have:

\(C(\infty) = 500 + 60\times \infty= 500 + \infty = \infty\)

Hence, the range of the function is:

\(R: (500, \infty)\)

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Answer:

We conclude that there is no difference in potential mean sales per market in Region 1 and 2.

Step-by-step explanation:

We are given that a random sample of 12 supermarkets from Region 1 had mean sales of 84 with a standard deviation of 6.6.

A random sample of 17 supermarkets from Region 2 had a mean sales of 78.3 with a standard deviation of 8.5.

Let \(\mu_1\) = mean sales per market in Region 1.

\(\mu_2\)  = mean sales per market in Region 2.

So, Null Hypothesis, \(H_0\) : \(\mu_1-\mu_2\) = 0      {means that there is no difference in potential mean sales per market in Region 1 and 2}

Alternate Hypothesis, \(H_A\) : > \(\mu_1-\mu_2\neq\) 0      {means that there is a difference in potential mean sales per market in Region 1 and 2}

The test statistics that will be used here is Two-sample t-test statistics because we don't know about population standard deviations;

                            T.S.  =  \(\frac{(\bar X_1 -\bar X_2)-(\mu_1-\mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+ {\frac{1}{n_2}}} }\)   ~  \(t__n_1_+_n_2_-_2\)

where, \(\bar X_1\) = sample mean sales in Region 1 = 84

\(\bar X_2\) = sample mean sales in Region 2 = 78.3

\(s_1\)  = sample standard deviation of sales in Region 1 = 6.6

\(s_2\)  = sample standard deviation of sales in Region 2 = 8.5

\(n_1\) = sample of supermarkets from Region 1 = 12

\(n_2\) = sample of supermarkets from Region 2 = 17

Also, \(s_p=\sqrt{\frac{(n_1-1)\times s_1^{2}+(n_2-1)\times s_2^{2} }{n_1+n_2-2} }\)  = \(s_p=\sqrt{\frac{(12-1)\times 6.6^{2}+(17-1)\times 8.5^{2} }{12+17-2} }\) = 7.782

So, the test statistics =  \(\frac{(84-78.3)-(0)}{7.782 \times \sqrt{\frac{1}{12}+ {\frac{1}{17}}} }\)  ~   \(t_2_7\)

                                   =  1.943  

The value of t-test statistics is 1.943.

Now, at a 0.02 level of significance, the t table  gives a critical value of -2.472 and 2.473 at 27 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that there is no difference in potential mean sales per market in Region 1 and 2.

Answer:the answer is AandD

Step-by-step explanation:

Answer:

A,D

Step-by-step explanation:

Answer:

5, 45

Step-by-step explanation:

So the value of X is 2.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

\(x = 2\)

First answer is correct

Step-by-step explanation:

\(9 = 1 + 8x - 8 \\ 9 - 1 + 8 = 8x \\ 16 = 8x \\ \frac{16}{8} = \frac{8x}{8} \\ x = 2\)

hope this helps

brainliest appreciated

good luck! have a nice day!