Enter the slope intercept equation of the line shown below

The probability that exactly 18 of the 25 smartphones selected are purchased with warranty is:  The probability that exactly 8 of the 25 smartphones selected are not purchased with warranty is: The probability that all 25 smartphones selected are purchased with warranty is:  

The probability that at most 15 of the 25 smartphones selected are purchased with warranty is: The probability that at least 14 of the 25 smartphones selected are purchased with warranty is: f) The probability that more than half (i.e. > 12) of the 25 smartphones selected are purchased with warranty is: 9) The probability that at least 14 but no more than 23 of the 25 smartphones selected are purchased with warranty is:

h) The probability that less than 12 or more than 19 of the 25 smartphones selected are purchased with warranty is: Part 2Mean = Standard Deviation =  Part 3To find the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty, we use the following formula: N = [(Z * σ) / E]^2 where Z is the z-score corresponding to the desired level of confidence, σ is the standard deviation, and E is the maximum error of estimation. Using a 95% level of confidence, Z = 1.96.Using the calculated standard deviation of 2.91 and expecting to find exactly 72 smartphones, the maximum error of estimation is 0.5.N = [(1.96 * 2.91) / 0.5]^2N

= 337.11

Therefore, the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty is 338.

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The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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Answer:

Option A

Step-by-step explanation:

The equation of line is

Solution:

Given that line passes through the point (4, –6) and has a slope of Negative three-fourths

Given point is (x, y) = (4, -6)

The equation of line passing through point (x, y) and slope "m" is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute (x, y) = (4, -6) and  in eqn 1

The required equation of line is given as:

Thus the equation of line is found

Answer:

a

Step-by-step explanation:

The nature and scope of the conclusion that a study can reach refers to the limitations and generalizability of the results obtained.

It depends on the research design, methodology, and sample size used. The conclusion can only be applied to the specific population and conditions studied.

The study may also have limitations due to biases or confounding variables that can affect the validity of the conclusion. To have a stronger conclusion, it is important to have a well-designed study with a large and representative sample, and to control for extraneous variables.

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The distance from the base of the stand to the campfire is 285.6 feet.

The angle of depression of 35 degrees.

Let's denote the distance from the base of the stand to the campfire as "x."

Since we know that,

The values of all trigonometric functions depending on the ratio of sides in a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

Using the tangent function, we have:

tan(35 degrees) = opposite/adjacent

tan(35 degrees) = 200/x

To find the value of x, we can rearrange the equation:

x = 200 / tan(35 degrees)

x ≈ 200 / 0.7002

x ≈ 285.6 feet

Therefore, the distance from the base of the stand to the campfire is 285.6 feet.

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If Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

Therefore, if Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

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We need to know how to solve the equations by substituting values for this problem. (a)The number of rabbits on the farm at the end of June is 164 and (b) after a long time the number of rabbits on the farm will become zero.

In the given question we know that the number of rabbits on a farm at the end of month n is \(P_{n}\) and that the number of rabbits at the end of the next month is \(P_{n+1} =1.2P_{n} -50\). We know that the number of rabbits at the end of March is 200, so we can have \(P_{1}\)=200, we need to find the number of rabbits at the end of June, which will be \(P_{4}\), we can form an equation from here

\(P_{4} =1.2P_{3} -50\)

Since we don't know what \(P_{3}\) is we can replace it by \(P_{2}\) and then replace that by \(P_{1}\).

\(P_{4} =1.2P_{3} -50\\P_{4} =1.2(1.2P_{2} -50)-50\\P_{4} =1.2(1.2(1.2P_{1} -50)-50)-50 = 1.2(1.44P_{1} -60-50)-50=1.728P_{1} -72-60-50=1.728P_{1} -182\)

We know that \(P_{1} =200\)

So, \(P_{4}\)=1.728x200-182=345.6-182≈164

Therefore the number of rabbits at the end of June is 164 and after a long time the number of rabbits on the farm might become zero since the number of rabbits is decreasing with every month.

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Answer:

Yes, ASA.

Step-by-step explanation:

The ASA, or Angle-Side-Angle Postulate, states that "If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent."

In this case, it is given that two pairs of angles are congruent:

1) ∠J ≅ ∠N (Given)

2) ∠K ≅ ∠M (Given)

One pair of side is also congruent:

1) JK ≅ NM

∴ Through ASA Postulate, ΔJLK ≅ ΔNOM.

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Answer:

100

Step-by-step explanation:

2x2=4 4 squared is 16

16+3=21

in the brackets is 2+2 which is 4

21x4=84

4x4=16

84+16=100

im so sorry if i get this wrong

To find the average value of a function f(x) over an interval [a, b], we use the formula:

avg(f) = (1 / (b - a)) * ∫[a, b] f(x) dx

where ∫[a, b] f(x) dx represents the definite integral of f(x) over the interval [a, b].

a) For the function f(t) = 5 sin(3t), the interval is [0, 2π/3] because one period of sin(3t) is 2π/3.

avg(f) = (1 / (2π/3 - 0)) * ∫[0, 2π/3] 5 sin(3t) dt

Using integration by substitution, we get:

avg(f) = (1 / (2π/3)) * [-5/3 cos(3t)] |[0, 2π/3]

avg(f) = (1 / (2π/3)) * [-5/3 cos(2π) + 5/3 cos(0)]

avg(f) = (1 / (2π/3)) * (5/3 - (-5/3))

avg(f) = 5/2π

Therefore, the average value of f(t) = 5 sin(3t) over the interval [0, 2π/3] is 5/2π.

b) For the function g(t) = 4 cos(8t), the interval is [0, π/4] because one period of cos(8t) is π/4.

avg(g) = (1 / (π/4 - 0)) * ∫[0, π/4] 4 cos(8t) dt

Using integration by substitution, we get:

avg(g) = (1 / (π/4)) * [1/2 sin(8t)] |[0, π/4]

avg(g) = (1 / (π/4)) * [1/2 sin(2π) - 1/2 sin(0)]

avg(g) = (1 / (π/4)) * (0 - 0)

avg(g) = 0

Therefore, the average value of g(t) = 4 cos(8t) over the interval [0, π/4] is 0.

c) For the function h(t) = cos^2(2t), the interval is [0, π/4] because one period of cos^2(2t) is π/4.

avg(h) = (1 / (π/4 - 0)) * ∫[0, π/4] cos^2(2t) dt

Using the identity cos^2(x) = (1/2) + (1/2)cos(2x), we can write:

cos^2(2t) = (1/2) + (1/2)cos(4t)

Substituting this into the integral, we get:

avg(h) = (1 / (π/4)) * ∫[0, π/4] [(1/2) + (1/2)cos(4t)] dt

avg(h) = (1 / (π/4)) * [(1/2)t + (1/8) sin(4t)] |[0, π/4]

avg(h) = (1 / (π/4)) * [(1/2)(π/4) + (1/8) sin(π)]

avg(h) = (1 / (π/4)) * [(π/8) + 0]

avg(h) = 2/π

Therefore, the average value of h(t) = cos^2(2t) over the interval [0, π/4] is 2/π.

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Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

GF = 34. Given that quadrilateral DEFG is a rectangle, we know that opposite sides in a rectangle are congruent. Therefore, we can set the expressions for DE and GF equal to each other to find the value of GF.

DE = GF

14 + 2x = 4(x - 3) + 6

Now, let's solve this equation step by step:

First, distribute the 4 on the right side:

14 + 2x = 4x - 12 + 6

Combine like terms:

14 + 2x = 4x - 6

Next, subtract 2x from both sides to isolate the variable:

14 = 4x - 2x - 6

Simplify:

14 = 2x - 6

Add 6 to both sides:

14 + 6 = 2x - 6 + 6

20 = 2x

Finally, divide both sides by 2 to solve for x:

20/2 = 2x/2

10 = x

Therefore, x = 10.

Now that we have found the value of x, we can substitute it back into the expression for GF:

GF = 4(x - 3) + 6

= 4(10 - 3) + 6

= 4(7) + 6

= 28 + 6

= 34

Hence, GF = 34.

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Option c. The next in series is blue picture with 7 lines.

The series is following the trend, Red, Blue, Red…. So, the next in this series should be blue.

Next is the pattern of picture. Straight line, 45 degree to both lines from center, 45 degree from preceding lines. So, next should be 45 degree from both the preceding lines.

Next is the number of lines. This follows the pattern as 1 line, 3 line, 5 line. From this it's clear that here follows the odd number pattern. So the next should be picture with 7 lines.

Finally we cam conclude that the next in this series is option c, the blue picture with 7 lines.

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Given:

Multiply equation(1) by 2 and add with equation(2)

Option B is the final answer

The number of ways 3 courses can be selected is 3654.

How to calculate combination?

Total no. of courses available = 29

Courses needed to graduate = 3

No of ways these courses can be selected:

= ²⁹C₃

= 29!/ [(29-3)! - 3!]

= 29! / 26! 3!

= 29 * 28 * 27 * 26!/ 26! 3*2

= 29* 14* 9

=3654

So, the number of ways 3 courses can be selected is 3654.

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Answer:

375

Step-by-step explanation:

12.5=1min

30min=?

30x12.5=357

(a) g(0) = 0, g(5) = 50, g(10) = 100, g(15) = 125, g(30) = 150.

(b) g is increasing on the interval [0, 30].

(c) g has a maximum value at x = 30.

(a) To evaluate g(x), we need to integrate the function f(t) from 0 to x. Looking at the given graph, we can see that the area under the curve is a right triangle with base x and height f(t). Since the height remains constant at 5, the area is given by (1/2) * base * height, which simplifies to (1/2) * x * 5 = 2.5x. Therefore, g(x) = 2.5x. Plugging in different values of x, we find that g(0) = 0, g(5) = 50, g(10) = 100, g(15) = 125, and g(30) = 150.

(b) To determine where g is increasing, we observe that g(x) = 2.5x, which is a linear function with a positive slope of 2.5. Therefore, g is increasing on the entire interval [0, 30].

(c) Since g(x) = 2.5x is a linear function, it does not have a maximum value in the traditional sense. However, as x increases, g(x) continues to increase without bound. Therefore, the maximum value of g is achieved at the endpoint x = 30.

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Answer:

12

Step-by-step explanation:

Hope this helps

Answer:

12

Step-by-step explanation:

12 is how much money Katya gets for yardwork over the summer

Answer: f(x)=3 x=2, f(x)=5 x=5/2, f(x)=-3 1/2

Step-by-step explanation:

Plug in the number that f(x) equals into the f(x) in the equation for each value

Answer:

According to me answer is option A

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

-1/4x-2

Step-by-step explanation:

Let's combine the like terms!

2 1/2 is equal to 5/2, so we can express the expression like this

(5/2x-11/4x)+(-7+5)

If we solve the first parentheses, we get 10/4x-11/4x=-1/4x

The second parentheses are obviously -2

Therefore, the answer is -1/4x-2.

Feel free to tell me if I did anything wrong! :)

Answer:

Simplifying

8m + -14 = 3m + 46

Reorder the terms:

-14 + 8m = 3m + 46

Reorder the terms:

-14 + 8m = 46 + 3m

Solving

-14 + 8m = 46 + 3m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-3m' to each side of the equation.

-14 + 8m + -3m = 46 + 3m + -3m

Combine like terms: 8m + -3m = 5m

-14 + 5m = 46 + 3m + -3m

Combine like terms: 3m + -3m = 0

-14 + 5m = 46 + 0

-14 + 5m = 46

Add '14' to each side of the equation.

-14 + 14 + 5m = 46 + 14

Combine like terms: -14 + 14 = 0

0 + 5m = 46 + 14

5m = 46 + 14

Combine like terms: 46 + 14 = 60

5m = 60

Divide each side by '5'.

m = 12

Simplifying

m = 12

Answer:

m = 12

Step-by-step explanation:

We want to isolate "m" on one side of equation to see what it is equal to.

Step 1.

Add 14 to both sides of the equation to get 8m = 3m + 60

Step 2.

Subtract 3m from both sides to get 5m = 60

Step 3.

Divide both sides by 5 to get m = 12.

It's A.

1. The closed circle connects to the x≥1 function, so that rules out B and C.

2. The x≥1 piece has a positive slope on the graph, so that rules out D.

Radians are a unit of measurement for angles used in mathematics and physics. They are defined as the ratio between the length of an arc of a circle and the radius of that circle.

One of the most important benefits of using radians to measure angles is that they simplify calculations involving angles, making them easier to work with.

Additionally, they allow for a more elegant and unified approach to mathematical and physical problems involving angles. So, in short, the word "radian" might be associated with concepts such as circles, arcs, and the measurement of angles in mathematics and physics.

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Answer: Squared because it equals to the 5 squared

Step-by-step explanation: Its because 5 to the second power is the same as 5 squared Hope this helped :)

Answer:

five squared

Step-by-step explanation:

To determine a formula for the n-th term of an arithmetic sequence, we need to find the common difference (d) first.

The common difference is the constant value that is added or subtracted to each term to get to the next term.

In this case, we can find the common difference by subtracting the fourth term from the seventh term:

d = a₇ - a₄

d = 31 - 19

d = 12

Now that we have the common difference, we can use it to find the formula for the n-th term of the arithmetic sequence. The formula is given by:

aₙ = a₁ + (n - 1)d

In this formula, aₙ represents the n-th term, a₁ represents the first term, n represents the position of the term, and d represents the common difference.

Since we don't have the first term (a₁) given in the problem, we can find it by substituting the known values for a₄ and d:

a₄ = a₁ + (4 - 1)d

19 = a₁ + 3(12)

19 = a₁ + 36

a₁ = 19 - 36

a₁ = -17

Now we can substitute the values of a₁ and d into the formula to get the final formula for the n-th term:

aₙ = -17 + (n - 1)(12)

Therefore, the formula for the n-th term (aₙ) of the given arithmetic sequence is aₙ = -17 + 12(n - 1).

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7 rolls of blue tickets were ordered by the student council.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of blue tickets. 1550 tickets were ordered of which 150 were golden, hence:

x = 1550 - 150

x = 1400

Since each blue ticket is in roll of 200, hence:

Number of roll = 1400 / 200 = 7

7 rolls of blue tickets were ordered by the student council.

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Answer:

18

Step-by-step explanation:

9+9=18 bam solved it