What is the solution to the system of equations? Infinite Solutions No Solution (- 2, 3); (- 1, - 1)

The table shows a dartboard with 10 slices numbered from 1 to 10. X is the event that the dart lands on a grey slice, and not X is the event that it lands on a non-grey slice. The probability of X is 5/10 or 0.5. The probability of not X is 1 - P(X) or 0.5.

The dartboard has 10 equally sized slices numbered from 1 to 10, some of which are grey and some are white. X is the event that the dart lands on a grey slice and P(X) is the probability of X. The event not X is the event that the dart lands on a slice that is not grey, and P(not X) is the probability of not X.

The table asks to check the outcomes contained in the event and enter the probability of the event in the last column. In the table, the outcomes are given as 1 to 10, and X represents the event that the dart lands on a grey slice. The probability of X, P(X), is given as 5/10 or 0.5. The event not X represents the event that the dart lands on a slice that is not grey. Since there are 5 white slices, P(not X) = 5/10 or 0.5.

We need to subtract P(X) from 1 to get P(not X), since they are complementary events. Thus, P(not X) = 1 - P(X). Substituting the value of P(X) from part (a), we get P(not X) = 1 - 0.5 = 0.5.

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--The given question is incomplete, the complete question is given

" Show transcribed data

A dartboard has 10 equally sized slices numbered from 1 to 10. Some are grey and some are white, as shown on the right. A dart is tossed and lands on a slice at random. Let X be the event that the dart lands on a grey slice, and let P (X) be the probability of X Let not X be the event that the dart lands on a slice that is not grey, and let P(not X) be the probability of not X. (a) For each event in the table, check the outcomes) that are contained in the event. Then, in the last column, enter the probability of the event. Outcomes Event Probability x 5 ? 1 2 3 4 5 6 7 8 9 10 XDDDDDDDDD P(x) - noe x DDO D P(noe x) = 0 (b) Subtract. Explanation Check 2013 M ARS OF Type here to search (a) For each event in the table, check the outcomes) that are contained in the event. Then, in the last column, enter the probability of the event. Outcomes Event Probability 10 X 5 ? 1 2 3 4 5 6 7 8 9 x DOODGOOD not x o c (b) Subtract. 1 - P(x) - 0 P(x) = 1 P(not x) = 0 "--

The ordered pair that shows an equivalent ratio of hours to miles is (1, 12) and Jing will complete a 60-mile trip in approximately 5 hours.

To find an equivalent ratio of hours to miles, we need to divide the number of miles by the number of hours.

For example, for the first 4 hours of the bike trip, Jing rode 48 miles, which is equivalent to a rate of 12/4 = 3 miles per hour.

Since Jing rode 60 miles in the first 4 hours of the trip, we can use this rate to find the time it takes her to ride 60 miles.

We can set up a proportion:

12 miles / 1 hours = 60 miles / x hours

Cross-multiplying, we get:

12x = 60

Dividing by 12, we get:

x = 60/12

x = 5

Therefore, Jing will complete a 60-mile trip in approximately 5 hours.

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The missing figure is attached below.

Out of Maria's total expenses, the proportion of expenses for her car would be 0. 57 .

To find the proportion, the formula would be :

= Maria total car expenses / Maria total expenses for the month

Maria total car expenses = $ 290. 02

Maria total expenses for the month =  $ 507. 59

The proportion of expenses for her car would be :

= 290. 02 / 507. 59 x 100 %

= 0. 57 x 100 %

= 57 %

In conclusion, Maria's car alone takes over 0. 57 or 57 % of her total expenses.

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The diameter of the circle, given the radius of 8 m, can be found to be 16 m.

One can discover the diameter of a circle, based on its radius, by multiplying the radius value with 2 since the length of the diameter is twice that of the former.

Comparatively, another segment of equal distance measured between the central position of the same given circle to only one point found within the border outline is called the radius. Henceforth, simply duplicating the established radius equivalent will provide conclusive knowledge of its corresponding diameter measure.

The diameter is therefore :

= 8 x 2

= 16 meters

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The y-intercept represents the base price of $200 for airfare from NYC.

The slope represent a cost of $0.30 cents per mile traveled.

According to the equation given, someone who traveled 2000 miles from NYC would pay $800 for their fare.

According to the equation given, someone who paid $500 for airfare from NYC would have traveled 1000 miles.

If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y = 50 + 0.30x.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Based on the information provided about this trip, a linear equation that models the situation is given by;

y = mx + c

y = 0.30x + 200

When x = 2000, the price of airfare (y) is given by;

y = 0.30(2000) + 200 = $800.

When y = 500, the distance traveled (x) is given by;

500 = 0.30x + 200

300 = 0.30x

x = 1000 miles.

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The value of probability of getting a bowl of chicken soup is,

⇒ 52.1%

Given that;

Two way frequency table is shown.

Hence, We get;

The value of probability of getting a bowl of chicken soup is,

⇒ 642/1233

⇒ 0.5206 x 100%

⇒ 52.1 %

Thus, The value of probability of getting a bowl of chicken soup is,

⇒ 52.1%

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The size of the shadow cast by the actual truck as required to be determined in the task content is; Choice A; 36 square feet.

It follows from the task content that the size of the actual truck is to be determined given the model size and the model scale.

Since the model scale is 1 to 54 and the model casts a shadow of 8 square inches; we have that;

1 / 54 = 8 / x where x is the size of the shadow cats by the actual truck.

There; x = 54 × 8 = 432 square inches.

However, recall that 12 inch units represents a feet; therefore, we have that;

x = 432 / 12

x = 36 square feet.

Consequently, the size of the actual shadow cast by the truck is; Choice A; 36 square feet.

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The sum of magnitude of u + v is 15.99.

The  magnitude or size of a mathematical object is described as a property which determines whether the object is larger or smaller than other objects of the same kind.

Given that, magnitude of u =  5

Magnitude of v = 11

The angle between them i= 40°

we represent u and v in vector form,

u = 5 ( cos 40° i + sin 40° j ) = 3.83 i + 3.21 j

v = 11 ( cos 40° i + sin 40° j ) = 8.42 i + 7.07 j

The sum of two vectors is given by

u + v = 3.83 i + 3.21 j +  8.42 i + 7.07 j

u + v = 12.25 i + 10.28 j

Magnitude of u + v = √(12.25²+10.28²)

Magnitude of u + v

Magnitude of u + v   = √( 150.063 + 105.678)

Magnitude of u + v = 15.99

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complete question:

Given the magnitudes of vectors u and v and the angle θ between them, find sum of . Give the magnitude to the nearest tenth when necessary and give the direction by specifying the angle that the resultant makes with u to the nearest degree. ∣ u∣ = 5, ∣ v∣ = 11, θ = 40°

Answer:

24%

Step-by-step explanation:

Answer:

To calculate how much Joe would earn for working a 35-hour week, you need to multiply his hourly wage by the number of hours he worked123. For example, if Joe is paid $19.26 per hour, then his weekly pay is:

$19.26 x 35 = $673.10

This is his gross pay, which means it does not include any deductions for taxes or other benefits. His net pay, or take-home pay, may be lower depending on his filing status, allowances, withholding information and voluntary deductions1. You can use an hourly paycheck calculator to estimate his net pay1.

I hope this helps you understand how to calculate hourly pay. If you have any other questions, please let me know.

The expression 3x - 1 represents the perimeter of the triangle in terms of the length of its first side.

Let the first side of the triangle be represented by 'x'.

According to the given information, the second side is two more than the first side, so it can be represented by x + 2.

Similarly, the third side is three less than the first side, so it can be represented by x - 3.

The perimeter of a triangle is the sum of all its sides. Therefore, the expression representing the perimeter of the triangle can be obtained by adding the lengths of all the sides:

Perimeter = x + (x+2) + (x-3)

Simplifying this expression, we get:

Perimeter = 3x - 1

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Answer:

it's -1,-1

Step-by-step explanation:

It's one solution but it's not there so the point on the graph is -1,-1 which is D or the last one

Answer:  

Worth in 2019 is $12423.75

Explanation:

Current worth is C=$28000

Depreciation rate is D=15%

Time in years is T=19

Worth (W) 2019: W=C(1−D100)T=2800⋅(1−15100)19=$12423.75 [Ans]

For the month of April, the park is expected to get an average of 826 thousand people every day.

To predict the average daily attendance at the park for the month of April, we need to substitute x = 4 in the given polynomial and simplify:

-24x² +337x-138 = -24(4²) + 337(4) - 138

= -24(16) + 1348 - 138

= -384 + 1210

= 826

Therefore, the predicted average daily attendance at the park for the month of April is 826 thousand visitors per day.

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We can make 30 non congruent rectangles.

There are several approaches to this issue, but one is to count the number of rectangles of various sizes.
A 4x4 geoboard can contain the following:

1 rectangle is of size = 4x4

4 rectangles are of size = 3x3

9 rectangles are of size = 2x2

16 rectangles are of size = 1x1

Use the following formula to determine the number of rectangles can be created within given these dimensions:

(Number of rows + 1 - Height of rectangle) (Number of columns + 1 - width of the rectangle)

For instance, we have (4 + 1 - 2) while counting the number of 2x2 rectangles. × (4 + 1 - 2) = 3 × 3 = 9

The total number of rectangles can be calculated as follows:

1 + 4 + 9 + 16 = 30.

So, on a 4x4 geoboard, there are 30 rectangles that can be created, none of which can be congruent.

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smaller leg is the smaller side

longer leg is the longer side

hypotenuse is the longest side

triangle a example:
smaller leg: 8-5 = 3

longer leg: 2-(-8) = 10

hypotenuse: use the formula a^2 + b^2 = c^2 (not needed since the side lengths are already given)

We can use the recursive formula to find the values of the sequence:

g3 = 3·g2 + g1 = 3·5 + 3 = 18

g4 = 4·g3 + g2 = 4·18 + 5 = 77

g5 = 5·g4 + g3 = 5·77 + 18 = 395

g6 = 6·g5 + g4 = 6·395 + 77 = 2457

g7 = 7·g6 + g5 = 7·2457 + 395 = 17276

Therefore, the 7th term of the sequence is g7 = 17276.

[tex]1/2 * 2 * 1 = 1[/tex] square unit.

Step-by-step explanation:

To find the maximum area of the triangle, we need to locate the vertex of the parabola. This occurs when x=1. The y-coordinate at x=1 is 1. We can then use this as the height of the triangle. The base of the triangle is the distance between x=0 and x=2, which is 2. Therefore, the maximum area of the triangle is 1/2 * 2 * 1 = 1 square unit.

A cat weighing 10 4/5 pounds on earth will weigh 1 1/2 pounds on the moon.

Given that, an object will weigh 1/6 of its weight on moon of earth,

So, a cat having a weight of 10 4/5 pound will weight =

10 4/5 × 1/6

= 54/6 × 1/6

= 54 / 36
= 9/6

= 3/2

= 1 1/2

Hence a cat weighing 10 4/5 pounds on earth will weigh 1 1/2 pounds on the moon.

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The future value of the investment is equals to $[tex]32,582.78[/tex].

The number of monthly payments over 4 years is:

= 4 years x 12 months/year

= 48 months.

We will use future value of an annuity formulae to solve which is FV = PMT x [(1 + r)^n - 1] / r

Plugging in the values, we get:

FV = 650 * [(1 + 0.022/12)^48 - 1] / (0.022/12)

FV = 650 * (0.09190014604/0.00183333333)

FV = 650 * 50.1273524766

FV = 32582.7791098

FV = $32,582.78.

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Answer: 62 words/ 1 minute

Step-by-step explanation:

186 words/3 minutes is basically 186 divided by 3. So divide the numerator by the denominator.

Example: $35 for 5lbs of flour. 35/5 in the simplest form is 7/1; therefore it is the unit rate.

The possible equations equals to 36 are:

9E = 36

6G = 36

4L = 36

9E + A = 36

5H + B = 36

3N + D = 36

3N + B + C = 36

2K + M + 2F = 36

2K + M + E + G = 36

Given that here,

A = 0, B = 1, C = 2, D = 3, E = 4, F = 5, G = 6, H = 7, K = 8, L = 9, M = 10, N = 11

The Answer will be 36 that is the right side of the equation must be 36.

Then the possible equations in one variable will be:

9E = 9*4 = 36

6G = 6*6 = 36

4L = 4*9 = 36

The possible equations in two variables will be:

9E + A = 9*4 + 0 = 36

5H + B = 5*7 + 1 = 36

3N + D = 3*11 + 3 = 36

The possible equations in three variables will be:

3N + B + C = 3*11 + 1 + 2 = 36

2K + M + 2F = 2*8 + 10 + 2*5 = 36

The possible equations in four variables will be:

2K + M + E + G = 2*8 + 10 + 4 + 6 = 36

Hence, the possible equations are:

9E = 36

6G = 36

4L = 36

9E + A = 36

5H + B = 36

3N + D = 36

3N + B + C = 36

2K + M + 2F = 36

2K + M + E + G = 36

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The question is incomplete. The complete question will be -

"There are many possible equations you could create to equal 36 using the chart above. describe the steps you used to create you equations"

Answer:

If Marco completely filled a box with 36 unit cubes with no gaps or overlap, then the box must have a volume of 36 cubic units.

The box could have different dimensions depending on how the cubes are arranged. For example, the box could be a cube with side length 3 units, since 3 x 3 x 3 = 27. Then, Marco could add another layer of 3 x 3 cubes on top of the first layer, giving a total of 3 x 3 x 4 = 36 cubes.

Alternatively, the box could have dimensions 6 x 1 x 6, since 6 x 1 x 6 = 36. This box would have two layers of 6 x 6 cubes stacked on top of each other.

There are many other possible dimensions for the box, but all of them must have a volume of 36 cubic units to accommodate the 36 unit cubes with no gaps or overlap.

The height of the oblique triangular pyramid is 15 units if the base area of 15 square units and a volume of 20 cubic units.

Volume is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of an oblique triangular pyramid is given by:

V = 1/3b h

Where b is the area of the base and h is the height of the pyramid.

We have b = 15 square units and V = 15 cubic units.

h = 4 units

V = 1/3 x 15 x 4

V = 20

Thus, the height of the oblique triangular pyramid is 15 units if the base area of 15 square units and the volume of 20 cubic units.

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Answer:

Middle or B on edge

Step-by-step explanation:

Answer:

Each package will contain 1/2 pound of meat.

Step-by-step explanation:

To divide 8 1/2 pounds of hamburger meat into 17 equal packages using fractions, you need to divide the total weight by the number of packages:

First, convert the mixed number 8 1/2 to an improper fraction:

(8 * 2) + 1 = 16 + 1 = 17

So, 8 1/2 = 17/2

Now, divide 17/2 pounds by 17 packages. Since division is the same as multiplying by the reciprocal, we'll multiply by the reciprocal of 17, which is 1/17:

(17/2) * (1/17)

Multiply the numerators together (17 * 1 = 17) and the denominators together (2 * 17 = 34):

17/34

Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor (17):

17 ÷ 17 = 1

34 ÷ 17 = 2

So, the simplified fraction is 1/2.

The series converge test to use for expression is ratio test.

The ratio test is determined or applied as follows;

In a ratio test for a series ∑a_n, lim(n→∞) |a_{n+1}/a_n| = L

if L < 1, then the series converges absolutely.

if L > 1, then the series diverges.

if L = 1, then the test is inconclusive.

So if we apply the ratio test to the series ∑^∞_{n=1} (2⁻³ⁿ7ⁿ)

|a_{n+1}/a_n| = |(2⁻³⁽ⁿ ⁺ ¹⁾)7⁽ⁿ ⁺ ¹⁾) / (2⁻³ⁿ7ⁿ)|

= |2⁻³ x 7 / 7|

= 2⁻³

= 1/8

L = 1/8 and it is less than 1, so the series converges absolutely.

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The missing step in solving the inequality is: Add 8x to both sides of the inequality.

Inequality is a topic in mathematics which deals with expressions or equations which do not have a definite answer. Thus they consist of greater than, less than, greater than or equal to, less than or equal to symbols.

In the given inequality; we have;

5 - 8x < 2x + 3

Subtract 3 from both sides

5 - 8x - 3 < 2x + 3 - 3

2 - 8x < 2x

Add 8x to both sides of the inequality

2 - 8x + 8x < 2x + 8x

2 < 10x

Divide both sides by the coefficient of x

2/10 < 10x/10

x > 2/10

The step that is missing is:  Add 8x to both sides of the inequality

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3 is the digit in the ten places of 33,300.

The ten-place digit is the second digit from the right in a whole number.

To find the digit in the ten places of 33,300, we need to divide the number by 10 and then take the remainder when divided by 10.

33,300 divided by 10 is 3,330 with a remainder of 0.

So the digit in the ten places of 33,300 is 3.

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Answer:

3 coins each row

Step-by-step explanation:

if you put 3 coins in 4 rows it we'll be equivalent to 12