A company manufactures acoustic guitars. The table shows the number of units that the company sold each month over a nine-month period beginning in January.

Month, x 1 2 3 4 5 6 7 8 9
Units, y 150 300 380 425 425 480 520 550 575

Which equation best models the situation?

a y=148.4 x-1-154

b y=46.4x+191.7

c y=148.4 x-1+154

d y= -46.4x+191.7

Net income is the final income/profit. The given information is not enough to know the effect on Korey’s monthly net income.

Net income is the final income/profit that an organization or a business make after deducting all the cost, taxes, and allowances.

As it is given in the problem, Korey has made the decision to bring on an extra hand to help run the store in the afternoons. therefore, a new employee will be working in the store, which will increase the cost of running the store.

Also, the problem states that the new employee will make $435 per month. for the store. Now, since a revenue of $435 is increased in the store.

If we compare both the statements we will understand that the net profit may increase or decrease depending on the wage(salary) of the new employee. The increment in the net profit is the difference between $435(made by the new employee) - salary of the new employee(Cost of the new employee).

Hence, the given information is not enough to know the effect on Korey’s monthly net income.

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Answer:

29(!£6287&7&(&

Step-by-step explanation:

That's it ty

Answer:

Option B is correct

Answer:

B there is enough raspberries to make 4 pie they can 6 pies if they 2 more of raspberries

Step-by-step explanation:

f(-4) = 13 - 5(-4)

= 13 + 20

= 33

Answer:

answes is 33

hopes rhis helps

The linear function that describe the situation is; 3730 = 900 + 370x.

If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.

The variables who take their values based on some other variables' values are called dependent variables.

Given; The cost of leasing a car is $900 for the down payment and processing fee plus $370 per month.

We need to find For how many months can you lease the car with $3730.

Let x be the months.

The equation for the linear function;

3730 = 900 + 370x

Therefore, the linear function that describe the situation is; 3730 = 900 + 370x.

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Answer:

($2.19,$2.39)

Step-by-step explanation:

khan

Based on this sample, the confidence interval which is closest to a 90%, for the mean price of gasoline that day in her state is ($2.19, $2.39).

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

When the sample size is less than 30, the formula which is used is,

\(\overline x\pm t.\dfrac{s}{\sqrt n}\)

Here, n is the sample size, \(\overline x\) is the sample mean, s is the standard deviation.

Economist, takes an SRS of 12 gas stations. The sample size for the given problem is 12,

\(n=12\)

Thus, degree of freedom,

\(df=12-1\\df=11\)

In the t table, for df 11, the value of t is 1.796.

An economist studying fuel costs wants to estimate the mean price of gasoline in her state on a certain day.

On that day, she takes an SRS of 12 gas stations and finds the sample mean price (in dollars per gallon) is,

\(\bar x=2.29\)

With a standard deviation of

\(s_x=0.20\)

Put the values in the above formula,

\(2.29\pm 1.796.\dfrac{0.20}{\sqrt 12}\\2.29\pm 0.1037\\2.29+0.1037=2.3937\\2.29- 0.1037=2.1863\)

Thus, based on this sample, the confidence interval which is closest to a 90%, for the mean price of gasoline that day in her state is ($2.19, $2.39).

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The total payment done by Mr. Jones every month as he pays $423.22 for car payment and $98.30 for car insurance every month is equal to $ 521.52.

As given,

Payment done for car every month = $423.22

Payment done for car insurance = $98.30

Total payment done by Mr. Jones every month = $ (423.22 + 98.30)

                                                                          = $521.52

Therefore, the total payment done by Mr. Jones every month as he pays $423.22 for car payments and $98.30 for car insurance every month is equal to $ 521.52.

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Answer: 75

Step-by-step explanation:

\(x\)% x 3000000 = 2250000

\(x\)/100 x 3000000 = 2250000

\(x\) x 30000 = 2250000

\(x\) = 2250000/30000

\(x\) = 75

Answer:

28.8 inches

Step-by-step explanation:

We solve the above question using Proportion

The ratio of one side of ΔABC to the corresponding side of similar ΔDEF is 3:5.

ΔABC/ΔDEF = 3/5

Hence,

The perimeter of ΔDEF is 48 inches.

Let the perimeter of ΔABC = x inches

3/5 = x/48

Cross Multiply

5x = 48 × 3

x = 48 × 3/5

x = 28.8 inches

The perimeter of ΔABC is 28.8 inches

The mean of the sample means, also known as the expected value of the sample mean, is equal to the population mean.

When all possible outcomes of size n are selected from a population and the mean of each sample is determined, the sample means to represent a sampling distribution. The mean of this sampling distribution denoted as the expected value of the sample means or simply the mean of the sample means, is equal to the population mean.

This result is derived from the concept of sampling. Each sample is a random selection from the population, and on average, these samples will reflect the characteristics of the population. Therefore, the mean of the sample means represents the average value that would be obtained if an infinite number of samples of size n were taken from the population. Since each sample mean is an unbiased estimator of the population mean, the mean of the sample means will be equal to the population mean. This property holds under certain conditions, such as when the sampling is random and independent.

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Answer:

Because any number to the power of zero will be one.

Grounded on the given choices, the correct selections are

b) Not reject H0 at α = 0.07

d) Not reject H0 at α = 0.10

f) Not reject H0 at α = 0.05

To determine whether to reject or not reject the null thesis H0 μ1- μ2 = 6.5 against the indispensable thesis Ha μ1- μ2 ≠6.5, we need to perform a thesis test and compare the test statistic with the critical value( s) grounded on the chosen significance position( α).

Since the choices handed are different significance situations( α values), let's estimate each choice independently

a) Reject H0 at α = 0.10

If the significance position is α = 0.10, we compare the p-value of the test statistic to0.10. If the p-value is lower than or equal to0.10, we reject H0. If the p-value is lesser than0.10, we don't reject H0.

b) Not reject H0 at α = 0.07

If the significance position is α = 0.07, we compare the p- value of the test statistic to0.07. If the p-value is lesser than 0.07, we don't reject H0. If the p-value is lower than or equal to 0.07, we reject H0.

c) Reject H0 at α = 0.07

If the significance position is α = 0.07, we compare the p-value of the test statistic to0.07. If the p-value is lower than or equal to 0.07, we reject H0. If the p-value is lesser than 0.07, we don't reject H0.

d) Not reject H0 at α = 0.10

If the significance position is α = 0.10, we compare the p-value of the test statistic to0.10. If the p-value is lesser than0.10, we don't reject H0. If the p-value is lower than or equal to0.10, we reject H0.

e) Reject H0 at α = 0.05

If the significance position is α = 0.05, we compare the p-value of the test statistic to 0.05. If the p-value is lower than or equal to 0.05, we reject H0. If the p-value is lesser than 0.05, we don't reject H0.

f) Not reject H0 at α = 0.05

If the significance position is α = 0.05, we compare the p-value of the test statistic to 0.05. If the p-value is lesser than 0.05, we don't reject H0. If the p-value is lower than or equal to 0.05, we reject H0.

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Answer:

3/5 of his estate is not accounted for.

Step-by-step explanation:

You can figure out by adding the two fractions together:

1/2 + 1/3 = 2/5.

That means there is still 3/5 of the estate remaining.

Brainliest please! I am so close to getting my next rating! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Rounding this to the nearest hundredth, the area of the sector is approximately 28.88 f\(t^2\).

To find the area of a sector, we can use the formula:

Area = (θ/360) × π × \(r^2\)

where θ is the central angle in degrees, π is approximately 3.14, and r is the radius.

Given a central angle of 131° and a radius of 7.2 ft, we can plug in these values into the formula to find the area:

Area = (131/360) × 3.14 × (7.2\()^2\)

Calculating this expression:

Area = (0.3639) × 3.14 × (7.2\()^2\)

Area ≈ 28.879 f\(t^2\)

Rounding this to the nearest hundredth, the area of the sector is approximately 28.88 f\(t^2\).

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Step-by-step explanation:

Radius of the circle=8

We know that

\(\boxed{\sf Area=\pi r^2}\)

\( \sf \rightharpoondown \: area = \frac{22}{7} \times {8}^{2} \\ \sf \rightharpoondown \: \frac{22}{7} \times 64 \\ \sf \rightharpoondown \: \frac{22 \times 64}{7} \\ \sf \rightharpoondown \: \frac{1408}{7} \\ \sf \rightharpoondown \: 201.1units {}^{2} \)

\(\sf More\:to\:know\begin {cases}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {cases}\)

The seesaw does not meet safety regulations because using trigonometry, the minimum seat height is 22.2cm and the maximum seat height is 288.2cm from the ground.

To determine if the seesaw has been safely installed, we need to check if the seats meet the safety regulations when the seesaw is at its maximum angle of 20°.

Let's start by finding the height of the seesaw at its maximum angle. We can use trigonometry to do this:

sin(20°) = height of seesaw / length of seesaw

height of seesaw = sin(20°) x length of seesaw

height of seesaw = sin(20°) x 3.6m

height of seesaw = 1.227m

So the height of the seesaw at its maximum angle is 1.227m.

Next, we need to find the height of each seat when the seesaw is at its maximum angle. To do this, we can use similar triangles. Let x be the distance from the centre of the seesaw to the end of each seat:

x / 0.84m = (x + seat height) / 1.227m

Solving for seat height:

seat height = 1.227m(x/0.84m) - x

Now we can plug in the values for x and solve for the minimum and maximum seat heights:

Minimum seat height:

x = 0.23m (end of seat is no less than 23 cm from the ground)

seat height = 1.227m(0.23m/0.84m) - 0.23m

minimum seat height = 0.222m or 22.2cm

Maximum seat height:

x = 1.5m (end of seat is no more than 150 cm from the ground)

seat height = 1.227m(1.5m/0.84m) - 1.5m

maximum seat height = 2.882m or 288.2cm

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Answer:

m∠W = 125°

m∠X = 55°

m∠Z = 55°

Step-by-step explanation:

The shape is parallelogram WXYZ. m∠Y = 125.

A parallelogram is a quadrilateral shape in which both opposite sides and opposite angles are equal to each other. The diagonals of a parallelogram bisect each other. Also consecutive angles in a parallelogram are supplementary.

Therefore in parallelogram WXYZ:

m∠Z + m∠Y = 180° (Consecutive angles in a parallelogram are supplementary)

m∠Z + 125 = 180

m∠Z = 180 - 125

m∠Z = 55°

m∠W = m∠Y (Opposite angles are equal)

m∠W = 125°

m∠W + m∠X = 180° (Consecutive angles in a parallelogram are supplementary)

m∠X + 125 = 180

m∠X = 180 - 125

m∠X = 55°

Answer:

one solution

Step-by-step explanation:

7(x-4)=4x+5

solve for x

7x-28=4x+5

3x=33

x=11

The most negative number corresponds to the variable that has the largest impact on the Value of the objective function. So, maximizing it first is most efficient.

What is pivot column in simplex method?

The Simplex method's pivot column is selected by the fundamental variable's biggest reduced cost coefficient. 4. The highest ratio of right side parameters to positive coefficients in the pivot column determines the pivot row in the Simplex approach.

A location of a leading entry in the matrix's echelon structure. A pivot is a non-zero number that is either transformed into a leading 1 and then used to make 0s, or it is utilized in a pivot position to create 0s.

The element of a matrix or array chosen first by an algorithm (such as Gaussian elimination, simplex algorithm, etc.) to do particular computations is known as the pivot or pivot element.

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Answer:

8.8%

Step-by-step explanation:

Answer:

8.8

Step-by-step explanation:

The statement (p ∧ ~q) ∨ r means "either p and not q are true, or r is true." the truth value of the statement (p ∧ ~q) ∨ r is true under both conditions.

a) If p is true and q is true, then ~q is false. So, (p ∧ ~q) is false. Since r is also true, the entire statement becomes true: (false ∨ true) = true.

b) If p is false and q is true, then (p ∧ ~q) is false (both p and ~q need to be true for this part to be true). However, since r is true, the entire statement becomes true: (false ∨ true) = true.

So, the truth value of the statement (p ∧ ~q) ∨ r is true under both conditions.

Let's evaluate the truth value of the statement (p ∧ ~q) ∨ r under the given conditions:

a) p is true, q is true, and r is true.
(p ∧ ~q) ∨ r = (True ∧ ~True) ∨ True = (True ∧ False) ∨ True = False ∨ True = True
The statement is true under these conditions.

b) p is false, q is true, and r is true.
(p ∧ ~q) ∨ r = (False ∧ ~True) ∨ True = (False ∧ False) ∨ True = False ∨ True = True
The statement is true under these conditions as well.

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Answer:

where is the figure. please provide a figure.

Answer:

0=0

Step-by-step explanation:

3x- 15=3 (x- 5)

We simplify the equation to the form, which is simple to understand  

3x-15=3(x-5)

Reorder the terms in parentheses

3x-15=+(+3x-15)

Remove unnecessary parentheses

+3x-15=+3x-15

We move all terms containing x to the left and all other terms to the right.  

+3x-3x=-15+15

We simplify left and right side of the equation.  

0x=0

0=0

This equation is an identity, so all real numbers are solutions.

The correct formula to calculate the number of tires, t, needed for c cars per day is t = c/4, which is option b).


The formula that shows how to calculate the number of tires, t, needed for c cars per day is option b) t = c/4.

To understand this formula, let's break it down step by step:

1. Each car needs four regular tires and one spare tire for the trunk. So, the total number of tires needed for one car is 4 + 1 = 5.

2. If we want to calculate the total number of tires needed for c cars, we can multiply the number of cars by the number of tires needed per car, which is 5. So, the formula becomes t = 5c.

3. However, we need to find the number of tires needed, which is represented by t. Since we have t on the left side of the equation, we can rearrange the formula by dividing both sides by 5: t/5 = c.

4. Now, we have the number of tires needed (t) expressed in terms of the number of cars (c), but we want to find the number of cars needed given the number of tires (t).


To do this, we can rearrange the formula again by dividing both sides by 4: t/4 = c/4.

Therefore, the correct formula to calculate the number of tires, t, needed for c cars per day is t = c/4, which is option b).

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In the next 10 years there will be 398 racoons in the state park

The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.

Using the formula

p(t) = p(o) e^ kt

k = 3.5/100 = 0.035

t = 10 years

p(t) = 280 e^ 0.035 ×10

p(t) = 280e^0.35

p(t) = 280 × 1.42

p(t) = 398( nearest whole number)

therefore be after 10 years there will be 398 racoons in the state park.

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Answer:

C

Step-by-step explanation:

took test

An expression is defined as a set of numbers, variables, and mathematical operations. The gross pay of Micha for the given month is $234.71. The correct option is  C.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that Micha is paid $8.25 per hour plus double time on holidays and makes an average of 8% commission on all golfing equipment sales, which is modeled by the expression 8.25(x) + 8.25(2)(y) + 0.08(z).

Now, if Micha worked 15 regular hours and 4 holiday hours and had $562.00 in golf equipment sales. Therefore, the value of x, y, and z is,

Regular hours, x = 15

Holiday hours, y = 4

Sales made in dollars, z = 562

Substitute the values in the given expression to get the gross pay of Micha in the given year,

Gross pay = 8.25(x) + 8.25(2)(y) + 0.08(z)

                 = 8.25(15) + 8.25(2)(4) + 0.08(562)

                 = $123.75 + $66 + $44.96

                 = $234.71

Hence, the gross pay of Micha for the given month is $234.71.

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