For a standard normal distribution, find:
P(0.45 < z < 2.43) (round to 3 decimal places)

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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All the missing angles of the given image are;

(a) = 145°

(b) = 35°

(c) = 145°

(d) = 35°

(e) = 145°

(f) =35°

The line transversal theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Thus, angle e is a corresponding angle to 145°

Angle f is a corresponding angle to 35°

Similarly, angle b is an opposite angle to 35° while angle c is an opposite angle to 135°

Angle a is opposite to angle e and as such angle a = 145°

Angle d is opposite to angle f and as such angle d = 35°

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Answer:

20 km/hr

Step-by-step explanation:

time taken by the boat going upstream = 11 hours

time taken for downstream movement = 9 hours

speed of the current = 2 km/h

distance traveled by the boat = d

Assume the speed of boat be x

we know,

distance =  speed × time

moving upstream

distance = speed × time

            d  = (x -2) × 11

downstream

             d = (x+2) × 9

now  

       (x+2) × 9 = (x -2) × 11

              2 x = 40

                 x = 20 km/hr

hence, the speed of the boat will be 20 km/hr

Answer:

Total is 3

Step-by-step explanation:

AI-generated answer

Let's start by finding out how many marbles John had initially. We can do this by using the information given in the problem.

Let the original number of marbles be x.

John gave away 3/4 of his marbles, which means he has 1/4 of the original number of marbles left. We can express this as:

1/4 x = the number of marbles John has left

If we solve for x, we get:

4/1 * 1/4 x = 4/1 * the number of marbles John has left

x = 4 * the number of marbles John has left

Now we know that John had 4 times the number of marbles he has left.

Next, John receives another bag of marbles containing 2/4 (which is the same as 1/2) of the original number of marbles.

We can express this as:

1/2 x = the number of marbles in the new bag

To find the total number of marbles John has now, we can add the number of marbles he has left to the number of marbles in the new bag:

Total number of marbles = the number of marbles John has left + the number of marbles in the new bag

Total number of marbles = 1/4 x + 1/2 x

Total number of marbles = (1/4 + 1/2) x

Total number of marbles = (3/4) x

We know that x = 4 times the number of marbles John has left, so we can substitute this into the equation:

Total number of marbles = (3/4) * 4 * the number of marbles John has left

Total number of marbles = 3 * the number of marbles John has left

Therefore, the total number of marbles John has now is 3 times the number of marbles he has left.

Tell me in the commets if you didn't understand a word or something in the equation. :)

Answer:

46

Step-by-step explanation:

6 x 5 + \((-4)^{2}\)

= 30 + (16)

= 30 + 16

= 46

So, the answer is 46

Answer:

A = kr²

Step-by-step explanation:

Given A is directly proportional to r² then the equation relating them is

A = kr² ← k is the constant of variation

a. The degree measure of 1 mil is 0.057 degrees

b. 1000 yards distance from the soldier to the target

c. There are 6283.185 mils in a circle

a. To find the degree measure of 1 mil, first note that there are 2π radians in a circle and 360 degrees in a circle. Since 1000 mils make 1 radian, we can convert 1 mil to degrees:

1 mil = (1/1000) radian
1 mil = (1/1000) * (360 degrees / 2π radians)

1 mil ≈ 0.057 degrees (rounded to three decimal places)

b. To find the distance from the soldier to the target, we can use the formula:

distance = radius * angle (in radians)

Since the target is 1 yard wide and subtends an angle of 1 mil, we can write:

distance = (1 yard) / (1 mil * (1 radian / 1000 mils))

distance ≈ (1 yard) / (0.001 radians)

distance ≈ 1000 yards

c. Since there are 2π radians in a circle and 1000 mils make 1 radian, we can calculate how many mils are in a circle using the conversion factor:

mils in a circle = 2π radians * (1000 mils / 1 radian)

mils in a circle ≈ 6283.185 mils

Note that the U.S. military uses a different definition, in which there are 6400 mils in a circle. Other countries may use different definitions as well.

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a. The degree measure of 1 mil is 0.057 degrees

b. 1000 yards distance from the soldier to the target

c. There are 6283.185 mils in a circle

a. To find the degree measure of 1 mil, first note that there are 2π radians in a circle and 360 degrees in a circle. Since 1000 mils make 1 radian, we can convert 1 mil to degrees:

1 mil = (1/1000) radian
1 mil = (1/1000) * (360 degrees / 2π radians)

1 mil ≈ 0.057 degrees (rounded to three decimal places)

b. To find the distance from the soldier to the target, we can use the formula:

distance = radius * angle (in radians)

Since the target is 1 yard wide and subtends an angle of 1 mil, we can write:

distance = (1 yard) / (1 mil * (1 radian / 1000 mils))

distance ≈ (1 yard) / (0.001 radians)

distance ≈ 1000 yards

c. Since there are 2π radians in a circle and 1000 mils make 1 radian, we can calculate how many mils are in a circle using the conversion factor:

mils in a circle = 2π radians * (1000 mils / 1 radian)

mils in a circle ≈ 6283.185 mils

Note that the U.S. military uses a different definition, in which there are 6400 mils in a circle. Other countries may use different definitions as well.

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The standard deviation of V is ±0.00 cm3.

The given expression for the volume, V±δV= 25.32 cm3±, represents the volume V with an associated uncertainty δV. To calculate the value of V, we multiply three given dimensions: width (w), height (h), and C, resulting in V=1×w×h​C=25.32 cm3.

To find the standard deviation of V, we need to consider the uncertainty δV. However, in the given question, no specific value or range is provided for δV. As a result, we cannot determine the standard deviation of V accurately. Hence, the standard deviation of V is ±0.00 cm3.

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Answer:

The ratio they are asking for is Model height to actual height. Rewritten that is:

Model Height: Actual Height

So the ratio after plugging in numbers is;

15:605

Ratios can be simplified by dividing both sides.

Both numbers are divisible by 5.

Therefore the ratio is;

3:121

(this is the simplest form of the ratio because 121

is not evenly divisible by 3)

Now, that is not an answer you can select,

however you can also multiply both sides by theKalius Call be simple by uviuiny po siues. Both numbers are divisible by 5.

Therefore the ratio is;

3:121

(this is the simplest form of the ratio because 121 is not evenly divisible by 3)

Now, that is not an answer you can select, however you can also multiply both sides by the same number. Take 4 for example (I'm choosing 4 because 3*4=12)

12:484

Answer:

x = \(\frac{5}{8}\)

Step-by-step explanation:

Given

- 4(3 + x) + 5 = 4(x + 3) ← distribute parenthesis on both sides

- 12 - 4x + 5 = 4x + 12 , that is

17 - 4x = 4x + 12 ( subtract 4x from both sides )

17 - 8x = 12 ( subtract 17 from both sides )

- 8x = - 5 ( divide both sides by - 8 )

x = \(\frac{-5}{-8}\) = \(\frac{5}{8}\)

Consumer surplus $5 as we solve the Q by given data

Consumer surplus is the difference between the consumer's willingness to pay and the price of the commodity.

Consumer surplus in economics, also called social surplus or consumer surplus, is the difference between the price a consumer pays for a commodity and the price the consumer is willing to pay in exchange for giving it up.

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

Consumer Surplus = Willingness to Pay - Price of the Good.

Item Price = $35 - $10 = $25

$30 - $25 = $5

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

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Answer:

62

Step-by-step explanation:

775 steps divided by 12.5 minutes is 62 steps per minute.

The particular solution that satisfies the given differential equation and initial conditions is f(x) = 2x^2 + 2x + 7.

Given differential equation is f''(x) = 4. Integrating with respect to x twice, we get f'(x) = 4x + C1, where C1 is a constant of integration. Integrating again with respect to x, we get f(x) = 2x^2 + C1x + C2, where C2 is another constant of integration.

Now, applying the initial conditions, f'(2) = 10 and f(2) = 19:

f'(2) = 4(2) + C1 = 8 + C1 = 10

Solving for C1, we get C1 = 2

f(2) = 2(2)^2 + C1(2) + C2 = 8 + 4 + C2 = 12 + C2 = 19

Solving for C2, we get C2 = 7

Therefore, the particular solution that satisfies the given differential equation and initial conditions is f(x) = 2x^2 + 2x + 7.

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Answer:

3a^2 + 20a + 34

Step-by-step explanation:

(2a + 5)^2 = 4a^2 + 20a + 25

(a +3)(a - 3) = a^2 - 9

Put these two partial answers together.

4a^2 + 20a + 25 -(a^2 -9 )                 Remove the brackets.

4a^2 + 20a + 25 -  a^2 + 9

4a^2 + 20a + 25 - a^2 + 9

3a^2 + 20a + 34

Answer: 3a² + 20a + 34

Concept:

When doing simplifying expressions, following the PEMDAS method would be easier.

When expanding parentheses, following the FOIL method would be easier.

Solve:

Given expression

(2a + 5)² - (a + 3) (a - 3)

Simplify exponenets

= (2a + 5) (2a + 5) - (a + 3) (a - 3)

Expand parentheses

= 4a² + 10a + 10a + 25 - (a² - 3a + 3a - 9)

= 4a² + 10a + 10a + 25 - a² + 3a - 3a + 9

Combine like terms

= 4a² - a² + 10a + 10a + 3a - 3a + 25 + 9

= 3a² + 20a + 34

Hope this helps!! :)

Please let me know if you have any questions

Answer: 71.25 meters

Step-by-step explanation:

1. 498.75/7

2. 71.25

Mia made 7 trips to visit her grandmother. she walked 498.75 meters in all, mia walks on each trip is 71.25 m

Mia made 7 trips to visit her grandmother

she walked 498.75 meters in all

In order to calculate the distance she walks on each trip, we calculate it by dividing the total distance by the number of trips

The total distance is 498.75

The number of trips is 7

walk on each trip is 498.75/ 7 = 71.25

Therefore, mia made 7 trips to visit her grandmother. she walked 498.75 meters in all, mia walks on each trip is 71.25 m

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Answer:

6

Step-by-step explanation:

The atomic number of Carbon is 6, meaning it has 6 protons and 6 electrons

Answer:

6

Step-by-step explanation:

The atomic number is the number of protons in an atom. The atomic number of carbon is 6

The cash flow to stockholders for 1998 is -$4 million.

To calculate the cash flow to stockholders for 1998, follow these steps:

Identify the dividends paid: Brandy's Candies paid $23 million in dividends during 1998.

Determine the net common stock repurchases: Brandy's Candies made net common stock repurchases of $27 million during 1998.

Subtract the net common stock repurchases from the dividends paid: $23 million - $27 million = -$4 million.

The resulting cash flow to stockholders for 1998 is -$4 million, indicating a net outflow of cash from stockholders.

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Therefore , the solution of the given problem of triangle comes out to be  b) True. The triangle's symmetry line is represented by the dashed line.

A triangular is a polygon because it has two or even more additional parts. It has a straightforward rectangle shape. A parallelogram with only sides A, B, as well as C is a triangle. When the sides are not exactly collinear, Euclidean geometry produces a single plane as compared to a cube. If a shape has three edges and three angles, it is said to be triangular. The intersection of a quadrilateral's three edges is known as an angle. The sum of a triangle's edges is 180 degrees.

Here,

a) Incorrect. Triangle ABC is not scalene because its two longest sides (AB and AC) are equivalent in length.

b) True. The triangle's symmetry line is represented by the dashed line.

c) Untrue. Triangle ABC is not right-angled because none of its edges are right angles.

d) Untrue. Although sides AB and AC of the triangle ABC are identical in length, side BC has a different length, making the triangle ABC not isosceles.

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Investor purchased 50 shares of stock in a company for $40.

So, the total initial amount he invested is

Then the rate of return is:

So, the requied rate of return is 10.0%.

Answer:$60

Step-by-step explanation:

The country code for country A is 32, whereas that of country B is 33 and the country C's country code is 34.

WE know that Three consecutive numbers are after one another, means if the country code for country A is X, the country code for country B would be X+1  and the country code for third country would X+2

The sum of the numbers is 78

X+X+1+X+2=99

3X+3=99

3X=99 -3

3X=96

X=96/3

X= 32

The country code for country A is 32, whereas that of country B is 33 and country C's country code is 34 since they are consecutive integers.

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Answer:

a) Mark's best score on the game is 75 points.

b) Virginia's best score is 15 points.

Step-by-step explanation:

Jodi's best score on a video game is 50 points.

a) Mark's best score on the game is 1.5 times as much as Jodi's best score. How many points did Mark score on the video game?

Mark's best score on the game is calculated as:

1.5 times as much as Jodi.

Jodi's best score = 50 points

= 1.5 × 50 points

= 75 points

b) Virginia's best score is only 0.3 times Jodi's best score. How many points did Virginia score on the game? Virginia's best score is points.

Virginia's best score on the game is calculated as:

0.3 times as much as Jodi.

Jodi's best score = 50 points

= 0.3 × 50 points

= 15 points

Virginia's best score is 15 points.

Answer:

292600

Step-by-step explanation:

A local college is forming a six-member research committee having one administrator, three faculty members, and two students. There are seven administrators, 12 faculty members, and 20 students in contention for the committee. How many six-member committees are possible?

\(\frac{7!}{(7 - 1)! 1!} * \frac{12!}{(12 - 3)! 3!} *\frac{20!}{(20 - 2)!2!}\) = 292600

there are seven administrators, and only one is needed. thus there are 7 ways to choose 1 administrator.

there are 12  faculty members, and only 3 are needed. thus there are 12 ways to choose 3 members

there are 20 students and only 2 are needed. thus there are 20 ways to choose 2 students

Answer: True

Step-by-step explanation:    

Answer:

Step-by-step explanation:

Due to the equation \(y = mx+c\),

y = y

mx = \(\frac{2}{5}x\)

c = -7

Hence, from 'mx',

m = 2/5

Hence, the slope is 2/5

Feel free to mark it as brainliest :D

Answer:

slope is

\( \frac{2}{5} \)

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{\pi }{3}\) and \(\frac{2\pi }{3}\)

Answer:

D

Step-by-step explanation:

Since we are given the slope, find the y-intercept using the formula for slope intercept form [ y = mx + b ].

y = -1/2x + b

-5 = -1/2(4) + b

-5 = -2 + b

-3 = b

Put everything we know into final form.

y = -1/2x - 3

Best of Luck!

Answer:

D. \(y = -1/2x - 3\)

Step-by-step explanation:

To solve this we must use the Point-Slope formula:

\(y-y1=m(x-x1)\)

Substitute:

\(y+5=-1/2(x-4)\)

Distribute:

\(y+5= -1/2x + 2\)

Subtract 5 from both sides:

\(y = -1/2x - 3\)

Hope this helped!

The solution is Option D.

The quotient of the coordinates will be a coefficient in the equation

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 0 )

Let the second point be Q ( 4 , 7 )

Now , the slope of the line between the points is ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 7 - 0 ) / ( 4 - 0 )

On simplifying the equation , we get

Slope m = 7/4

Therefore , the quotient of the coordinates will be a coefficient in the equation

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 7 = ( 7/4 ) ( x - 4 )

On simplifying the equation , we get

y - 7 = ( 7/4 )x - 7

Adding 7 on both sides of the equation , we get

y = ( 7/4 )x

Hence , the equation of line is y = ( 7/4 )x

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Answer:d

Step-by-step explanation: