pleasee I need help with finding the slope im so confused ​

Answer:

The solution ( 12,6) is correct, Lizette's solution

Answer:

\(x=12,\:y=6\)

Step-by-step explanation:

\(\begin{bmatrix}\frac{2}{3}x+3y=26\\ 2x+\frac{1}{2}y=27\end{bmatrix}\)

\(\frac{2}{3}x+3y=26\)

\(\frac{2}{3}x+3y-3y=26-3y\)

\(\frac{2}{3}x=26-3y\)

\(3\cdot \frac{2}{3}x=3\cdot \:26-3\cdot \:3y\)

\(2x=78-9y\)

\(\frac{2x}{2}=\frac{78}{2}-\frac{9y}{2}\)

\(x=\frac{78-9y}{2}\)

\(\begin{bmatrix}2\cdot \frac{78-9y}{2}+\frac{1}{2}y=27\end{bmatrix}\)

\(\begin{bmatrix}78-\frac{17}{2}y=27\end{bmatrix}\)

\(78-\frac{17}{2}y=27\)

\(78-\frac{17}{2}y-78=27-78\)

\(-\frac{17}{2}y=-51\)

\(2\left(-\frac{17}{2}y\right)=2\left(-51\right)\)

\(-17y=-102\)

\(\frac{-17y}{-17}=\frac{-102}{-17}\)

\(y=6\)

\(x=\frac{78-9\cdot \:6}{2}\)

\(x=12\)

\(x=12,\:y=6\)

The expected payout of the game is calculated as E(X) = 164.68

This is the term that is used to refer to the likelihood of an event occurring.

We have to solve for the probability first

The probability of 0

= 1 - the sum of all of the values

= 1 - 0.151 + 0.029 + 0.0007

= 1 - 0.1807

= 0.8193

Next we have to solve for the expected payout

The formula is given as

∑pi * xi

= 0.151 * $180 + 0.029 * $1000 + 0.0007 * 155000 + 0 * 0.8193

= 27.18 + 29 + 108.5 +0

= $164.68

E(X) = 164.68

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Answer:

Step-by-step explanation:

The position function for this is given as

\(h(t)=-16t^2+48t+2.75\) where h(t) is the height of the football at any time t. If the ball is caught at 5.25 feet, that h(t) value is 5.25 since we are looking for the time the ball was in the air from its initial 2.75 feet to 5.25 feet, when it was caught.

\(5.25=-16t^2+48t+2.75\) and set this equal to 0:

\(-16t^2+48t-2.5=0\) and factor.

When we factor we get

t = .05 and t = 2.95 in seconds.

That first time tell us how long it takes to go from the initial height of 2.75 to a point 2.5 feet higher, 5.25. To get get back down to the 5.25 foot height on the other side of the vertex, is 2.95 seconds. So the total time the ball was in the air was 3 seconds exactly.

Answer:

d

Step-by-step eddddxplanation:

dd

Gertrude paid $32.50 last month for 175 minutes of phone calls.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that cellphone plan has a fixed cost of $15, this means that regarding if we use it or not, you'll pay at least $15.

Also, added to those fixed costs, we pay $0.10 per minute for phone calls.

Acording to the information, the bill for last month was $32.50, first step is to remove the fixed charges to know how much was spent on phone calls:

$32.50-$15= $17.5

Now, cross multiplication so that can calculate how many minutes she talked to spend $17.5:

$0.10____1min

$17.50___xmin

x = 175

Hence She talked 175 minutes over the phone.

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Answer:

A. 12 + (-9)

Step-by-step explanation:

adding 8 to 4 is 12 and 9 remains as it is.

Answer:

Step-by-step explanation:

The slope, m, can be determined using any two points, and slope is defined as

m=(y2-y1)/(x2-x1), I’ll use (0,0) and (5,-1)

m=(-1-0)/(5-0)

m=-1/5

When sampling is finished without replacement, each member of a population could also be chosen just once. during this case, the chances for the second pick are full of the results of the primary pick. The events are considered to be dependent or not independent.

lets understand with the help of an Example

You have a good, well-shuffled deck of 52 cards. It consists of 4 suits. The suits are clubs, diamonds, hearts and spades. There are 13 cards in each suit consisting of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king) of that suit.

Sampling without replacement:

Suppose you decide three cards without replacement. the primary card you choose out of the 52 cards is that the K of hearts. you place this card aside and pick the second card from the 51 cards remaining within the deck. it's the three of diamonds. you place this card aside and pick the third card from the remaining 50 cards within the deck. The third card is that the J of spades. Your picks are . Because you have got picked the cards without replacement, you can not pick the identical card twice.

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Answer as a fraction as expressed below

a. F(7/4) = 0, b. F'(7/4) = sec^4(7/4), and c. F"(7/4) = 4sec^4(7/4) * tan(7/4).

a. To find F(7/4), we substitute x = 7/4 into the given function F(x) = ln(tan(t)) at x = π/4. Therefore, answer is shown in fraction as F(7/4) = ln(tan(π/4)) = ln(1) = 0.

b. To find F'(7/4), we need to differentiate the function F(x) = ln(tan(t)) with respect to x and then evaluate it at x = 7/4.

Using the chain rule, we have F'(x) = d/dx[ln(tan(t))] = d/dx[ln(tan(x))] * d/dx(tan(x)) = sec^2(x) * sec^2(x) = sec^4(x).

Substituting x = 7/4, we have F'(7/4) = sec^4(7/4).

c. To find F"(7/4), we need to differentiate F'(x) = sec^4(x) with respect to x and then evaluate it at x = 7/4.

Using the chain rule, we have F"(x) = d/dx[sec^4(x)] = d/dx[sec^4(x)] * d/dx(sec(x)) = 4sec^3(x) * sec(x) * tan(x) = 4sec^4(x) * tan(x).

Substituting x = 7/4, we have F"(7/4) = 4sec^4(7/4) * tan(7/4).

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The percentage of bags of cookies that will contain between 64 and 68 cookies is approximately 18.23%.The number of cookies in a shipment of bags is normally distributed, with a mean of 64 and a standard deviation of 4.

What percentage of bags of cookies will contain between 64 and 68 cookies

When X is normally distributed with mean µ and standard deviation σ, the z-score formula can be used to find the probability that X is between two values.

Z = (X - µ) / σ

First, we convert both 64 and 68 to z-scores:

Z for 64 cookies = (64 - 64) / 4 = 0Z for 68 cookies = (68 - 64) / 4 = 1

Next, we find the probability that X is between these two z-scores using a standard normal distribution table or calculator:

Prob (0 < Z < 1) = 0.3413 - 0.5(0) - 0.159

= 0.1823

So, the percentage of bags of cookies that will contain between 64 and 68 cookies is approximately 18.23%.

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73/100

Is 0.73 as a simplified fraction

38 number slips of $8 are needed to add before the expected value is at least $7 as per the given information.

The problem consists of two stages as per the given data.

1. There are a total of 10 slips after adding.

8 slip with $3 on it

2 slips with $8  on it

value = Probability of 3 x 3 plus Probability of 8 x 8.

value=  (8 / 11)  x 3 + (2/ 11)  x 8

value = 24 / 11 + 24 / 11 = 4.36

Let n be the required number

2. No of total slips after addition = 10+n

8 slip with $3 on it

2 + n  slips with $8  on it

expectation value = probability of 3 x 3 + probability of 7 x 7

expectation value =  (8 / 10+n )  x 3 + (2+n  / 10+n )  x 7

expectation value = 24 + 18 + 9n / 10 + n  = 8

42 + 9n = 80 + 8n

n = 38

Therefore, 38 numbers of $8 are needed to add before the expected value is at least $7.

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The number of piles when the newspaper is 15 will be 3.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

20 newspapers in 4 piles.

We know that the ratio of the newspaper to pile is constant. Then 15 newspapers in piles will be given as,

15 / x = 20 / 4

15 / x = 5

x = 15 / 5

x = 3

The number of piles when the newspaper is 15 will be 3.

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Answer:

Interrater reliability between the two data collectors was high

Step-by-step explanation:

Explanation-

Answer:

Step-by-step explanation:

2miles

The required shortest between the two houses is given as 10 miles. Option B is correct.

In a right-angled triangle, its side, such as the hypotenuse, is perpendicular, and the base is Pythagorean triplets.

Here,
Matthew lives 6 miles east of the school drew lives 8 miles north of the school.

Let's assume, the position of Mathew and drew house create the right angle with the school,
hypotenuse distance between Mather and Drew's house be x,
Applying the Pythagoras theorem,

x = √[8² + 6²]
x = √[100]
x = 10 miles

Thus, the required shortest between the two houses is given as 10 miles. Option B is correct.

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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Answer:

the system has infinitely many solutions

Step-by-step explanation:

Given the expressions

y - 2x = 4 .... 1

2x -y - 4 = 0 .... 2

We are to find the solution to the equation as shown

From equation 1: y = 4+2x

Substitute into 2:

2x - (4+2x) - 4 = 0

2x - 4 - 2x - 4 = 0

0 = 0

This shows that the equation has infinite number of solutions

Let y = k

Get x

Substitute y = k into equation 2

From 2: 2x -y - 4 = 0

2x - k - 4 = 0

2x = k+4

x = (k+4)/2 where k is any integer

Hence the system has infinitely many solutions

Answer:

commission = 15800

Step-by-step explanation:

920000 - 400000 = 520000

400000 x .02 = 8000

520000 x .015 = 7800

8000 + 7800 = 15800

Answer:

IJM and NMJ

Step-by-step explanation:

They're on alternate sides and on the interior of the complex.

Answer:

<IJM and <NMJ

Step-by-step explanation:

Alternate interior angles are angles which are inside the parallel lines and on alternate sides of the third line.

In this case they correspond to <IJM and <NMJ

\(\displaystyle\\Answer:\ -\frac{14}{13} x+y=\frac{8}{13}\)

Step-by-step explanation:

Ax+By=C   the slope is 14/13   (5,6)    (-8,-8)

The slope m equil 14/13

\(\displaystyle\\By=mx+C\\\\By=\frac{14}{13} x+C\ \ \ \ (1)\)

Substitute the coordinates of the points into equation (1) and obtain a system of equations:

\(\displaystyle\\\left \{ {{B(6)=\frac{14}{13}(5)+C } \atop {B(-8)=\frac{14}{13}(-8)+C }} \right.\\\\\left \{ {{6B=\frac{70}{13} +C\ \ \ \ \ \ \ (2)} \atop {-8B=-\frac{112}{13}+C\ \ \ (3) }} \right.\)

Multiply  both parts of the equation (3) by -1:

\(\displaystyle\\\left \{ {{6B=\frac{70}{13}+C \ \ \ \ (4)} \atop {8B=\frac{112}{13}-C }} \right.\)

Add these equations :

\(14B=\frac{182}{14}\\\\ 14B=14\)

Divide both parts of the equation by 14:

\(B=1\)

Hence, let's substitute the value of B into equation (4):

\(\displaystyle\\6(1)=\frac{70}{13}+C \\\\6=\frac{70}{13}+C\\6-\frac{70}{13} =\frac{70}{13} +C-\frac{70}{13}\\\\\frac{6*13-70}{13}=C\\\\\frac{78-70}{13}=C\\\\\frac{8}{13}=C\\\)

\(\displaystyle\\Thus,\ C=\frac{8}{13}\\\\ So,\ 1(y)=\frac{14}{13} x+\frac{8}{13} \\ -\frac{14}{13} x+y=\frac{8}{13}\)

The volume of the solid in the first octant bounded by the coordinate planes, the cylinder \(x^2 + y^2 = 4\), and the plane y + z = 3 can be found using rectangular coordinates. The resulting volume is (16π)/3 cubic units.

To determine the volume, we need to find the limits of integration for each coordinate. Since the solid is bounded by the coordinate planes, we have the following limits:

0 ≤ x ≤ 2 (from the cylinder equation \(x^2 + y^2 = 4\))

0 ≤ y ≤ \(\sqrt{(4 - x^2)}\) (from the cylinder equation \(x^2 + y^2 = 4\))

0 ≤ z ≤ 3 - y (from the plane equation y + z = 3)

We can integrate the function f(x, y, z) = 1 with respect to x, y, and z over the given limits to find the volume:

V = ∫∫∫ f(x, y, z) dz dy dx

Integrating over the limits, we have:

V = ∫[0 to 2] ∫[0 to \(\sqrt{(4 - x^2)}\)] ∫[0 to 3 - y] 1 dz dy dx

Evaluating this triple integral, we get:

V = ∫[0 to 2] ∫[0 to \(\sqrt{(4 - x^2)}\)] (3 - y) dy dx

= ∫[0 to 2] [(3y - \((y^2)/2\))] [0 to \(\sqrt{(4 - x^2)}\)] dx

= ∫[0 to 2] [(\(3\sqrt{(4 - x^2)}\)) - (\(\sqrt{(4 - x^2)}/2\)] dx

= ∫[0 to 2] (\(3\sqrt{(4 - x^2)}\)) - \(\sqrt{(4 - x^2)}/2\)) dx

Simplifying and evaluating this integral, we get:

V = (16π)/3 cubic units

Therefore, the volume of the solid in the first octant is (16π)/3 cubic units.

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Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Step-by-step explanation:

Continuous compounding formula :

FV = PV e^rt    FV = future value   PV = present value    

                r = decimal interest  rate     t = years

FV = 1000 e^(.045 * 10) = $ 1568.31

Answer:

Domain:

\( - \infty < x < \infty \)

Range:

\( - 1 \le \: y < \infty \)

Step-by-step explanation:

The Domain of a function is x values which are included in the graph. Sometimes x values will not be included because they cannot be defined at that point, but in this case the graph indicates that the graph continues to the right and left with no indication that there is an asymptote or it is undefined beyond the graph so we can assume it's defined for all real numbers. We can represent this in interval notation as:

\( - \infty < x < \infty \)

Since if you plug in any real number, this inequality should be true.

The range of a function is defined as y values which are on the graph, this is restricted when certain y values are not on the graph... but we can usually tell because functions will have a minimum/maximum. By looking at the graph it appears to reach a minimum at y = -1 and then on the right and left side is increasing, never going below this value, so the range can be defined as:

\( - 1 \le y < \infty \)

Since the y values vary between -1 (including -1) and infinity... well that really just means there's no upper bound and it just keeps increasing and increasing.

The "Prop. contained" value from part h can be compared to the confidence level associated with the simulation to assess the accuracy and reliability of the confidence interval.

A long-run interpretation for the confidence interval method means that if we were to repeat the sampling process and construct confidence intervals using the same method many, many times, the proportion of those intervals that contain the true population parameter (such as the mean or proportion) would approach the specified confidence level.

For example, if we construct 95% confidence intervals, we expect that in the long run, approximately 95% of those intervals would capture the true population parameter and only about 5% would not. This interpretation is based on the concept of repeated sampling and the idea that as the number of samples increases, the accuracy of the estimates improves.

By using the same method consistently and increasing the number of samples, we can gain more confidence in the accuracy of our estimates. This long-run interpretation provides a measure of the reliability and precision of the confidence interval approach in estimating population parameters.

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Answer:

Below

Step-by-step explanation:

12 + 3s + 9s + 2 =

(3s+9s) + (12+2) =

12s + 14           ( or   2 (6s+7)   )

Answer:  Based on the provided information, it appears that the questions are incomplete. The term "Deposit" is mentioned, but there is no specific context given to define it. Additionally, the price of the house and the interest rate for a 25-year loan are missing. Therefore, I cannot accurately answer the questions without complete information. Please provide all the necessary details, and I will be happy to assist you further.

Step-by-step explanation: