what is 13x25+3÷
15 please help im bad at math​

Answer:

10+5×5×5 -1

10+125 -1

135 -1

= 134

Answer: Poisson distribution

Step-by-step explanation:

The poisson distribution uses the relation :

p(x ; μ) =[(e^-μ) * (μ^x)] / x! ; WHERE

μ = Mean number of occurrences

x = number of Successes,

The events x are independent of one another and the probability or possibility of an event occur is the Same. The event also takes place with in a fixed or specified time interval. Hence, looking at the question, one can see that it meets all the conditions required for the definition of a poisson probability function.

Using the same-side interior angles theorem,

\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)

Using vertical angles,

\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)

Answer:

The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

Suppose a sample of 1067 floppy disks is drawn. Of these disks, 74 were defective.

This means that \(n = 1067, \pi = \frac{74}{1067} = 0.069\)

80% confidence level

So \(\alpha = 0.2\), z is the value of Z that has a pvalue of \(1 - \frac{0.2}{2} = 0.9\), so \(Z = 1.28\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 - 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.059\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 + 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.079\)

The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).

For the given equation:

m = 3b

The constant of proportionality is 3, so the correct option is A.

After a small search on the internet, I've found that this question asks for the constant of proportionality.

Remember that a proportional relation is of the form:

y = k*x

Where k is the constant of proportionality, and x and y are the variables.

Here the relation is:

m = 3*b

Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.

In this way, we can see that the correct option is A.

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Answer:

1,769

Step-by-step explanation:

The computation of the sum is shown below:

Future value = Present value × (1 + rate of interest)^number of years

2,590 = Present value × (1 + 0.10)^4

2,590 = Present value × 1.10^4

So, the present value is

= 2,590 ÷ 1.10^4

= 2,590 ÷ 1.4641

= 1,769

Answer:

12

Step-by-step explanation:

12-8=4

p=12

Answer:

p is equal ro 12

Step-by-step explanation:

4=p-8

add 8 to both sides and you get 12=p

The angle in degrees is 873.1843.

Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).

According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.

Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.

Multiplying both sides of the equation by 180/π, we get:

θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843

Thus, the angle in degrees is 873.1843.

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Answer:

Step-by-step explanation:

-47, -31, 16, 36

Answer:

-47 -31 16 36

Step-by-step explanation:

Because negative numbers are less than positive and higher the negative number, the lower it is because it is negative -47 is lowest and 36 is highest

To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.

The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.

The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.

$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:

$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow

A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow

A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$

Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).

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\(2n=10\)

Divide both sides by 2:

\(\dfrac{2n}{2} =\dfrac{10}{2}\)

\(\fbox{n = 5}\)

1. The completion of the inventory table is as follows:

2. The Cost of Ending Inventory and the Cost of Goods Sold under LIFO, FIFO, and Weighted-Average, are as follows:

                                      LIFO           FIFO      Weighted-Average

Ending inventory          $425          $691                $573

Cost of goods sold      $492          $226               $344

FIFO (First-in, First-out) lies on the assumption that the physical flow of goods sold depends on the chronological order of acquisition.

LIFO (Last-in, First-out) assumes that the cost of goods sold should be based on the latest inventory purchases.

The weighted-average method uses the average cost of goods to determine both the ending inventory and the cost of goods sold.

LIFO:

Ending inventory = $425 ($917 - $492)

Cost of goods sold = $492 (12 x $20 + 12 x $21)

FIFO:

Ending inventory = $691 (9 x $11 + 17 x $20 + 12 x $21)

Cost of goods sold = $226 ($917 - $691)

Weighted Average:

Ending inventory = $573 (40 x $14.33)

Cost of goods sold = $344 (24 x $14.33)

                                    Units  Unit Cost    Total Cost

Jan. 1      Beg. Inventory  20     $8.00           $160

May 10   Purchases          15     $11.00           $165

June 30 Purchases          17    $20.00         $340

Dec. 10  Purchases          12    $21.00          $252

Total                                64                          $917

Units sold                       24

Ending inventory           40 (64 - 24)

Average cost = $14.33 ($917/64)

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2. Calculate the cost of the ending inventory and the cost of goods sold under LIFO, FIFO, and Weighted-Average.

Answer:

The probability that exaclt x of the members are union members from the n interviewed is given by:

\(P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}\)

Step-by-step explanation:

For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

About 96% of all workers employed by the university belong to the workers' union.

This means that \(p = 0.96\)

What is the probability that exactly of the workers interviewed are union members

We want probability of x, from n workers interviewed. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}\)

3r +8

combine 4r -r

combine 14 -6

3r + 8

4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

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Answer:

?????

Step-by-step explanation:

Answer:

rate of the boat in still water:  81 km/h

rate of the current:  18 km/h

Step-by-step explanation:

Rate of the boat in still water:81 km/h

Rate of the current: 18km/h

Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took. The formula for speed is speed = distance ÷ time.

Given

b= speed of boat in still water c=speed of current

"boat travels 693 kilometers in 7 hours going downstream" Going downstream, the boat travels b+c km per hour. b+c km/hr =  693 km/7hr =  99 km/hr

b+c=99

"boat travels 189 kilometers in 3 hours going upstream" Going upstream, the boat travels b-c km per hour. b-c km/hr = 189 km/3hr = 63 km/hrb-c=63

Add the equations together to eliminate the c terms: b+c=99 b-c=63 2b = 162, therefore, b= 81

b+c= 99, so c = 99 - b= 18

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The function pairs that are inverse functions are (c) f(x) = 5x - 3 and g(x) = (x + 3)/5

Function (a)

This function is given as

f(x) = 4x²

The function needs to be represented as an equation

So, we have

y = 4x²

Swap the positions of x and y

x = 4y²

So, we have

y² = x/4

Take the square root of both sides

y = 1/2√x

So, the inverse function is

g(x) = 1/2√x (not the same as the option)

Function (b)

This function is given as

f(x) = x² - 16

The function needs to be represented as an equation

So, we have

y = x² - 16

Swap the positions of x and y

x = y² - 16

So, we have

y² = x + 16

Take the square root of both sides

y = √ x+ 16

So, the inverse function is

g(x) = √ x+ 16 (not the same as the option)

Function (c)

This function is given as

f(x) = 5x - 3

The function needs to be represented as an equation

So, we have

y = 5x - 3

Swap the positions of r and y

x = 5y - 3

So, we have

5y = x + 3

This gives

y = (x + 3)/5

So, the inverse function is

g(x) = (x + 3)/5

Hence, the function pairs are (d) f(x) = 5x - 3 and g(x) = (x + 3)/5

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Answer:

The y-intercept is the point in which the line crosses the y-axis (meaning, you'd find -2 on the y-axis).

Slope is the movement up or down and left or right, from the y-intercept (in this case we'll move downwards 3 units and to the right 2 units, and we'll keep doing this until our line forms).

I'll graph it for you, so you can get a visual, (but you really should do what the other person said and check out Desmos. It's really neat, and you don't even have to download it.)

Hope this helps you :)

The graph of the line with a slope of -3/2 and a y-intercept of -2 is a downward-sloping line passing through the point (0, -2) and (2, -5).

To graph the given features, which include the slope and y-intercept, we can use the slope-intercept form of a linear equation, which is y = mx + b.

Given:

Slope (m) = -3/2

Y-intercept (b) = -2

Using these values, we can write the equation of the line as:

y = (-3/2)x - 2

To graph this line, follow these steps:

1. Plot the y-intercept: Start at the point (0, -2) since the y-intercept is -2.

2. Use the slope to determine the next point: Since the slope is -3/2, this means that for every 2 units you move to the right, you move down 3 units.

  Start from the y-intercept point (0, -2) and move 2 units to the right, then 3 units down to plot the next point.

  This gives us the point (2, -5).

3. Connect the two points: Draw a straight line passing through the plotted points (0, -2) and (2, -5).

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The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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Answer:

47

Step-by-step explanation:

Start by drawing the figure and labeling it with the given information. We are looking for the height of a triangle. The formula for the area of a triangle is A=12bh, where b is the length of the base and h is the height of the triangle. Substituting in the given information and solving for h, we find

A8938931947=12bh=12(38)(h)=h=h

The height is 47 inches.

The cost per mile incurred by Ernest Dorsey for driving the sports coupe for last year was $0.41.

The cost per mile is the quotient of the division operation involving the total cost incurred and the driving mileage for the year.

To derive the total cost, add up the value of the car consumed (cost - current value), the annual variable, and fixed costs.

Cost of a used sports coupe last year = $8,000

The current value of the car = $6,000

Used value for the year = $2,000.00 ($8,000 - $2,000)

Gasoline               $1,589.56

Oil changes            $245.98

Repairs                     $548.11  $2,383.65

Insurance             $1,105.32

License                    $85.00    $1,190.32

Total cost for the year =        $5,573.97

Driven mileage for the year = 13,569 miles

Cost per mile = $0.41 ($5,573.97/13,569)

Thus, the cost per mile is $0.41.

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Answer:

-18

Step-by-step explanation:

Hope This Helps :)

Answer: 22

Step-by-step explanation:

\(f(f^{-1}(x))=f^{-1}(f(x))=x\)

Answer:

Let the fraction be qp

So q=p+7

q−6p+17=2

⇒p+7−6p+17=2

⇒p+1p+17=2

⇒p+17=2p+2

⇒p=15

q=15+7=22

So qp=2215.

Step-by-step explanation:

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Answer:

15/22.

Step-by-step explanation:

Let the denominator of original number be x.

Then the fraction is written as  x/(x+7).

From the given info:-

(x+17)/ (x + 7 - 6) = 2

(x+17)/(x+1) = 2

2(x+1) = x+ 17

2x + 2 = x + 17

x = 17-2 = 15.

So the original number = x/x+7

= 15/22.

Using conditional probability, it is found that:

a. 39% of students in this sample was female.

b. 64.1% probability that she is a business major.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

Item a:

The proportion associated with female students is given by:

Hence:

P(A) = 0.5(0.5) + 0.25(0.4) + 0.4(0.1) = 0.39.

0.39 = 39% of students in this sample was female.

Item b:

The events related to the conditional probability are:

Hence:

\(P(A \cap B) = 0.5(0.5) = 0.25\)

And the conditional probability is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.25}{0.39} = 0.641\)

0.641 = 64.1% probability that she is a business major.

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The leading coefficient of the expression is 1

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

4x² + x4 -8 -5

When written in standard form, we have

x^4 + 4x^2 - 8 - 5

Evaluate the like terms

x^4 + 4x^2 - 13

The leading coeffiicient is the coefficient of the term with highest power

In this case, it is

Coefficient = 1

Hence, the value is 1

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Answer: 7x  let me know if you need an explantion.