The data in the line plot show how many tools a mechanic has in a toolbox. Which is the best measure of variability?
A. interquartile range
B. mean
C. median
D. range

Answer:

786 rounded to the nearest ten is 770.

Step-by-step explanation:

To round to the nearest 10, look at the units digit. if the units digit is 5 or more, round up. If the units digit is 4 or less, round down.

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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If a manufacturer manufactures 5,000 dozen of sweaters, and sells 3,000 dozen of them only, then the total profit he/she earns from the these sweaters is [1000(3x - 5y)], assuming that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y".

As per the question statement, a manufacturer miscalculates the demand of the market and manufactures 5,000 sweaters, but sold only 3000 of them.

We are required to calculate the total profit earned by the manufacturer from the sale of the sweaters.

Since, no data about the manufacturing cost of the sweaters and their selling price is provided in the question statement, let us assume that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y". Solving with these variables will give us a generalized answer which we can use for any value.

Now, Since assumed that, manufacturing cost of one sweater is "x", then, manufacturing cost of 5000 sweaters will be \((5000*x)=5000x\).

Similarly assumed that, selling cost of one sweater is "y", and then, selling cost of 3000 sweater will be \([(3000*y)=3000y]\).

Now, we know that,

[Profit = (Total Selling Cosy) - (Total Manufacturing Cost)],

Therefore, in this case, total profit from the sale of 3000 sweaters

\(=(3000y-5000x)\\=1000(3y-5x)\).

Now, on using real integers or numbers in place of "x" and "y", if the value of Profit comes negative, it will mean, that for those values of "x" and "y", the manufacturer makes loss, not profit.

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The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

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Answer:

It is an alternate angle

Lauren will get 2/25 because the coin only lands on heads or tail

Answer:

x=0 and y=10/3

ecplanation : I used elimination

3 (3x+3y=10)

9x-9y=-30thus 9x+9x=0, x=0 when x=0y is 10/3

Hey there! I'm happy to help!

When graphing a system of equations, the solution is the point where the two lines meet. We see that they intersect at (-2,4).

Therefore, the solution to the system of equations is (-2,4).

Have a wonderful day! :D

Answer:

A

Step-by-step explanation:

edge 2020 Dec 9

Like out of 100? Then it would be 3.5%

The answer you're looking for is: 350%

(Tell me if i'm wrong please)

Answer: graphed and attached

Step-by-step explanation:

to graph a y intercept and slope, first find the y intercept on the graph and place your point. here the y intercept is 3, so (0, 3) because x=0 at a y intercept.

next use slope to find your next point. slope of -2 is the same as -2/1 or down -2 and right +1. so from your y intercept of 3, go down -2 and right 1 and place your point (1, 1). do this again for a 3rd point at (2, -1).

graph is attached.

Answer:

c

Step-by-step explanation:

100% on edge

Answer: See below

Step-by-step explanation:

The first is a beaker, it's used to measure liquid volume

The second is a ruler, it's used to measure length.

Last is a thermometer, it's used to measure temperature.

From the calculations; the  minimum area is 14.25 cm^2 and the maximum area is 15.75 cm^2

We define the area as the  product of length of the rectangle and width of the rectangle. We can give the unit of the area as square units. The area is the measure of the plane that has been covered by an object.

We have;

size of rectangular plate = 5 cm by 3cm.

Range of length = 0.25 of 5 cm  

The minimum and maximum area are;

We can now formulate the following to solve the problem;

5 - 0.25 ≤ L ≤ 5 + 0.25

4.75 ≤ L ≤ 5.25

Area of rectangle =  Length × Width.

Width = 3

minimum length = 4.75

maximum length = 5.25

minimum length

= 4.75 * 3

= 14.25 cm^2

maximum length

= 5.25 * 3

= 15.75 cm^2

We now obtain the  minimum area as 14.25 cm^2 and the maximum area as 15.75 cm^2

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1. The Fill ups are as follow:

AB² +  BC² = AC. AD + AC. CD

2. Segment addition postulate

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

BC/ AC = CD/ BC and AB/ AC = AD/ AB

Now, BC² = AC. CD  and AB² = AC. AD

Using, Addition Property of Equality

AB² +  BC² = AC. AD + AC. CD

and, AB² +  BC² = AC (AD + CD)  [factor]

AD + CD = AD (segment addition postulate)

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PLATO

i got it correct :)

Answer:

check the attached file

Step-by-step explanation:

1) Gathering the data:

2 and 1/4 h = 2h and 15 minutes in the morning

1 hour and 3

We can Add 7 black beads to make ratio 3 : 1.

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)b : 3

Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3    

Both sides divisible by 3; reduce ratio

= 3 : 1        

Which is Correct ratio

Hence, There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore , we need to add 7 black beads.

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Answer:

she did not get at least 2100 and definitely not 85% of the worth

Step-by-step explanation:

3000*0.85=2550

3000*0.7=2100

Answer:

Gia hoped to sell it for $2,550, but wanted at least $2,100. Because it sold for $1,800, she did not get what she hoped and/or wanted.

Step-by-step explanation:

85% of $3,000 can be solved by moving the decimal two places to the left and multiplying: 85.0% becomes 0.85. So, we multiply 0.85x3,000=$2,550.

We do the same thing to figure out 70% of $3,000. Again, solving it by moving the decimal two places to the left and multiplying: 70.0% becomes 0.70. So, we multiply 0.70x3,000=$2,100.

Answer:

Step-by-step explanation:

x+ y = 0  

and

-2x + 5y + 2 = 0

Step-by-step explanation:

given line

3x+5y+2=0

5x+3y-2=0

solution

when two line bisect each other then line equation of bisector is express as

  1

and here

A1 = 3

B1  = 5

C1 = 2

and

A2 = 5

B2  = 3

C2 = -2

so now put value in equation 1 we get

solve it we get

-2x + 5y + 2 = 0   1

and

3x+5y+2 = - ( 5x+3y-2 )

solve it we get

8x + 8y = 0

x + y = 0  2

Answer: D -12x +12y -2 =0

Step-by-step explanation:

Edge 2021

Answer:

-√26, 5.15, 5.2, 16/3

Step-by-step explanation:

-√26 = -5.09

16/3 = 5.33

The local maximum point, which are the points that indicates a relative peak compared to other points on the graph of the function are;

A local maximum point (x, y) is a point that has the largest y-value compared to the all the y-values of the points close to the point (x, y). The maximum point is indicated by the point x = a if f'(x) > 0 for points to the left of the point a, anf f'(x) < 0 for the points to the right of the point a, then the point a is a local maximum point.

The points on the specified graph of the function g which are maximum points are therefore; (-4, -1), (0, 3)

The y-value of points to the left of the point (-4, -1) are -2, for the point (-4.5, -2), which continues to infinity (-∞, -∞)

The slope, which is the rate of the change of change of the function or f'(x) of the line joining the points (-4, -1) and (-4.5, -2), m, is found as follows;

m = (-1 - (-2))/(-4 - (-4.5)) = 2, therefore, f'(x) > 0 to the left of the point (-4, -1)

The y-value of points to the right of the point (-4, -1) is -2 for the point (-3, -2)

The slope of the line joining the points (-4, -1) and (-3, -2) is found as follows;

m = (-2 - (-1))/(-3 - (-4)) = -1

The slope and therefore, f'(x) to the right of the point (-4, -1) is negative, therefore, the point (-4, -1) is the maximum point.

The same condition occurs at the point (0, 3), based on the shape of the graph at the point.

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Answer: x=3

Step-by-step explanation:

3(x+6)-10=17

3x+18-10=17

3x+8=17

3x=17-8

3x=9

x=3

The area of the circle having a radius of 10 ft will be 100π.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that the radius of the circle is 10 ft. The area of the circle is calculated by the formula written as below,

Area of the circle = πr²

Substitute the value of the radius in the formula and calculate the area of the circle.

Area of the circle = πr²

Area of the circle = π x ( 10 ) ²

Area of the circle = 100π square ft

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Given:

The point is (-6,5).

It is on the terminal side of theta.

To find:

The values of \(\sin\theta\) and \(\cos \theta\).

Solution:

In the point (-6,5),

x-coordinate : x=-6

y-coordinate : y=5

So, \(r=\sqrt{x^2+y^2}\)

\(r=\sqrt{(-6)^2+(5)^2}\)

\(r=\sqrt{36+25}\)

\(r=\sqrt{61}\)

Now,

\(\sin \theta=\dfrac{y}{r}\)

\(\sin \theta=\dfrac{5}{\sqrt{61}}\)

\(\cos \theta=\dfrac{x}{r}\)

\(\cos \theta=\dfrac{-6}{\sqrt{61}}\)

Therefore, the required values are \(\sin \theta=\dfrac{5}{\sqrt{61}}\) and \(\cos \theta=-\dfrac{6}{\sqrt{61}}\).

hello

to answer precisely, i have to see the graphs in the question but overall, the answer should look like something like the graph in the attached file

Answer:

Graph A

Step-by-step explanation:

It has the behavior of a Cubic funtion. Can't really explain more than that.

Answer:

Hello,

answer A

Step-by-step explanation:

If you move donwside the graph until

from y interscept to the origne,

the new graph will cut x-axis in 3 roots

Graph A represent a cubic function.

Answer: 270 minutes or 4 hours and 30 minutes

Step-by-step explanation: 3x6 =18  and 45 x 6= 270

1) -4/3

2) 4

Step-by-step explanation:

1) Line is passing through the points (3, 0) & (0, 4)

slope of line = (4 - 0)/(0 - 3) = 4/(-3) = -4/3

2) y-coordinate of the y-intercept = 4

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).

To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,

For the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:

Therefore, the vertex at the top right of the parallelogram is (7, 8).

For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:

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