1. Over one season, Wellton Cove Cricket Club won 10 cricket matches, lost 8 and drew 2. The
probability of Wellton Cove CC either winning or losing a match is 0.9. Show by calculation that
winning a match and losing a match are mutually exclusive events.
13

The slope of a linear function is always the same thus the missing values are y₂ = 5 , y₃ = 8, and y₄ = 12.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given table,

Take (2,3) and (6,19)

Slope = (19 - 3)/(6 - 2) = 4

To maintain the same slope,

(y₂ - 3)/(3 - 2) = 4

y₂ = 5

(y₃ - 4)/(4 - 3) = 4

y₃ = 8

(y₄  - 8)/(5 - 4) = 4

y₄ = 12

Hence "The slope of a linear function is always the same thus the missing values are y₂ = 5, y₃ = 8, and y₄ = 12".

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Using the system of equation, the unit cost of candy and pretzel are $3 and $4.25 respectively

System of equations, or simultaneous equations, In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.

We can set up two different equations to represent the problem given;

Let candies = x, pretzels = y

3x + 2y = 17.50 ...eq(i)

9x + 4y = 44 ...eq(ii)

Solving for equation (i) and (ii);

The value of x and y are 3 and 4.25 respectively.

The cost of the candy is $3 and pretzel is $4.25

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Answer:

Step-by-step explanation:

Answer: 2.074

can also be written as a fraction 2  37/500

So the right answer is √314 units.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

80 in^2 or 80 square inches

Step-by-step explanation:

Area of the top triangle=

1/2*4*4

8 square inches,

Area of the square=

4*4

16 square inches

Area of the rectangle=

4*8

32 square inches

Area of both bottom triangles=

2(1/2*3*8)

24 square inches

add them up and you get

The time study analyst should account for at least 55 observations in order to calculate the mean time per item with a 95.5% confidence level and a 0.4 minute margin of error.

We can use the sample size calculation formula in a confidence interval to get the number of observations required for a time study with the specified parameters:

\(n = (Z * \sigma / E)^2\)

Where:

n = sample size

Z = The target confidence level's Z-score (95.5% translates to roughly 1.96)

σ = procedure standard variation (1.5 minutes per piece)

E = margin of error (0.4 minutes)

Plugging in the values, we can calculate the sample size:

\(n = (1.96 * 1.5 / 0.4)^2\)

\(n = (2.94 / 0.4)^2\)

\(n = 7.35^2\)

n ≈ 54.02

We round up the sample size to the next whole number because we can't have a portion of an observation:

n = 55

Therefore, the time study analyst should prepare for at least 55 observations to estimate the mean time per item with a margin of error of 0.4 minutes and a confidence level of 95.5%.

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The statement is false.

Answer: Hope This Helps

Step-by-step explanation:

During the day, the sun heats up both the ocean surface and the land. The wind will blow from the higher pressure over the water to lower pressure over the land causing the sea breeze. The sea breeze strength will vary depending on the temperature difference between the land and the ocean. At night, the roles reverse.

\(8.3\)

\( \large \frac{83}{10} \)

\(830\%\)

Answer:

Fraction: 8.3x10/10 = 83/10

percentage: 83/10 × 100/1 = 830%

The 95% confidence interval estimate for the percentage of all adults who want to lose weight is between 48% and 54%

The given information states that a Gallup Poll found 51% of the sample participants responded "yes" when asked if they would like to lose weight. The margin of sampling error is ±3% at a 95% confidence level.

To calculate the 95% confidence interval estimate for the percentage of all adults who want to lose weight, you simply add and subtract the margin of error from the sample percentage.

Lower limit: 51% - 3% = 48%
Upper limit: 51% + 3% = 54%

Therefore, the 95% confidence interval estimate for the percentage of all adults who want to lose weight is between 48% and 54%. This means that if this poll were repeated multiple times under the same conditions, in 95 out of 100 instances, the true percentage of all adults who want to lose weight would fall within this range.

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

ayden earns $6 an hour for raking leaves in the yard, so the equation representing the amount of money he can earn is:

Earnings = 6 * (Number of hours worked)Brooklynn earns $9 for making everyone's beds and an additional $1.50 an hour for helping with the laundry, so the equation representing the amount of money she can earn is:

Earnings = 9 + (1.5 * (Number of hours worked))To find how many hours each need to work in order to earn the same amount of money, we can set the two equations equal to each other and solve for the number of hours worked.

6(Number of hours worked) = 9 + (1.5 * (Number of hours worked))Solving this equation gives us: Number of hours worked = 9/4 = 2.25 hoursSo after 2.25 hours, they each need to work in order to have earned the same amount of money.

Step-by-step explanation:

Jayden's equation: 6x

Brooklynn's equation: 9x + 1.5y

Equation to find how many hours each need to work: 6x = 9x + 1.5y

After 12 hours, they each need to work in order to have earned the same amount of money.

Answer:

(16,-1)

Step-by-step explanation:

Answer:

\( x \: midpoint = \frac{x1 + x2}{2} \)

\(y \: midpoint = \frac{y1 + y2}{2} \)

subs points into formula:

\(x = \frac{32 + 0}{2} = 16 \\ y = \frac{ - 1 + ( -12 )}{2} = \frac{ - 13}{2} \)

midpoint is:

\((16, \frac{ - 13}{2} )\)

7a = 7. So, a = 1. Consequently, the $1 apple price is the suggested cost option. (A).

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Let a represent the cost of an apple and b represent the cost of a banana. Using the information provided, we can then create two equations:

2a + 5b = 17 (equation 1)

3a + 4b = 15 (equation 2)

By removing b, we can find a solution for a. When we multiply equations 1 and 2 by 4 and by 5, we obtain:

8a + 20b = 68

15a + 20b = 75

Equation 1 minus equation 2 results in:

7a = 7

So, a = 1.

Consequently, the $1 apple price is the suggested option. (A).

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Complete question is:

Two apples and five bananas cost $17, while three apples and four bananas cost $15. What is the price of an apple?

(A) $ 1

(B) $ 1.50

(C) $ 2

(D) $ 2.50

(E) $ 3

Answer:

$3.00

Step-by-step explanation:

Answer:

x^2 + 9x = - 18

Step-by-step explanation:

GCF  is 4  So divide both sides by 4

4x^2 / 4 = x^2

36x/4  = 9x

- 72 /4 = -18

Answer:

7x - 1/9

Step-by-step explanation:

2/3 (6x - 1/6) + 3x

12x/3 - 2/18 + 3x

4x - 1/9 + 3x

7x - 1/9

After simplifying, the value of expression is,

⇒ 7x - 1/9

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 2/3 (6x - 1/6) + 3x

Now, We can solve the expression as;

⇒ 2/3 (6x - 1/6) + 3x

⇒ 2/3 × 6x - 2/3 × 1/6 + 3x

⇒ 4x - 1/9 + 3x

⇒ 7x - 1/9

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To find the length of the hypotenuse in a right-angled triangle, we can use trigonometry. Using the given values of RS and angle Q, we can solve for QS ≈ 24.08 cm to the nearest hundredths place.

To find the length of the hypotenuse in a right-angled triangle with a given angle and one side, we can use trigonometry. In this case, we are given the angle Q, which is 65°, and the length of one of the sides, RS, which is 22 cm. We can use the sine function to relate the opposite side, RS, to the hypotenuse, QS. Solving for QS gives us QS = RS / sin(65°), which we can then evaluate to find QS ≈ 24.08 cm. Therefore, x ≈ 24.08 cm to the nearest hundredths place.

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The missing figure is in the image attached below

Answer:

Step-by-step explanation:

Answer:

Decimal form = 1.44

Fraction form = 144/100

Hope this helps!

Answer:

Step-by-step explanation:

The common difference is 8-5 = 3

The first next term is 11 + 3 = 14

The next (second) term  is 14 + 3 = 17

tn = 5 + (n - 1)*3       This is part c

t20 = 5 + (20 - 1)*3

t20 = 5 + 19*3

t20 = 5 + 57

Answer t20 = 62

Answer:

answer should be 245 i am really sorry if it is wrong

Step-by-step explanation:

Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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A cone has a circular base. So, the answer to your question is B for circle.

Answer: descriptive statistics

Step-by-step explanation: The average age of everyone in the class is an example of descriptive statistics.

The required return rate is 12.5%. The value of the stock is calculated by discounting the future dividends and the price target back to the present value that is $36.0153

To compute the value of the stock, we can use the formula for the dividend discount model:

Value of Stock = Dividend / \((1 + Required Return Rate)^n\) + Dividend / \((1 + Required Return Rate)^{(n+1)}\) + Price Target / \((1 + Required Return Rate)^{(n+2)}\)

In this case, the dividends are $2.55 and $2.70, the required return rate is 12.5%, and the price target is $40. The dividends are discounted back to the present value using the required return rate, and the price target is discounted back two years. By plugging in the values into the formula and calculating, we can find the value of the stock.

Using the given values, the value of the stock with a required return of 12.5% is calculated as follows:

Value of Stock = $2.55 /\((1 + 0.125)^1\) + $2.70 / \((1 + 0.125)^2\) + $40 /\((1 + 0.125)^2\)

Value of Stock ≈ $36.0153

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