How do you prove each of the following properties of a parallelogram?
Opposite sides are congruent.
Opposite angles are congruent.
The diagonals of a parallelogram bisect each other.
If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram.
Rectangles are parallelograms with congruent diagonals.

The required probabilities are:P(Ahmad will score two baskets) = 8/25P(Ahmad will score at least one basket) = 18/25.

Given that Ahmad has two attempts to score a basket in basketball. He tries this in 25 times. The table shows the results-Basket scoredFrequency10 82 73 7The total number of trials is 25. Now, find the probability that Ahmad will score -Two baskets:P(Ahmad will score two baskets) = 8/25 (From the table, the frequency of Ahmad scoring two baskets is 8)At least one basket:

Here, we will find the probability of Ahmad scoring at least one basket. So, P(Ahmad will score at least one basket) = 1 - P(Ahmad will not score any basket)Now, P(Ahmad will not score any basket) = Frequency of 0 score/Total number of trials= 7/25Thus, P(Ahmad will score at least one basket) = 1 - 7/25= 18/25 (approx)So, the required probabilities are:P(Ahmad will score two baskets) = 8/25P(Ahmad will score at least one basket) = 18/25.

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Answer:

B) USA

Step-by-step explanation:

USA is in North America

Answer:

110687192.78951, 6488.47368421, 4214, 0.0464, 0.03626

SIMPLIFIED WAY OF SAYING IT:

Last One to First Box

3rd One to 2nd Box

1st one to 3rd box

2nd one to 4th box

4th one to 5th box

Step-by-step explanation:

(4.3*10^(6))*(9.8*10^(-4)) = 4,214

(2.9*10^7)*(1.6*10^-9) = 0.0464

(4.7*10^3)*(8.6*10^-7)/(3.8*10^-4)*(6.1*10^2) = 6488.47368421

(4.9*10^3)*(7.4*10^-6) = 0.03626

Last one = 110687192.78951

The amount of tax that is added to the cost of the computer is £182.41

Tax can be described as a financial contribution that is levied on the citizens on a country. It could be a payment that is paid at a particular period of time.

The computer costs £986

The tax is 18.5%

The amount of tax that is added to the cost of the computer can be calculated as follows

= 18.5/100 × 986

= 0.185 × 986

= 182.41

Hence the amount of tax added to the cost of the computer is £182.41

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Answer : AREA OF A CIRCLE = PIR2 ( PI ×R ×R )

N.B = R MEANS RADIUS.

GIVEN THE CIRCUMFERENCE, WE WILL USE THE CIRCUMFERENCE TO FIND THE RADIUS.

FORMULA FOR FINDING RADIUS = CIRCUMFERENCE ÷ 2 × 3.142.

A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).

Answer:

joe biden 2020

Step-by-step explanation:

The exponential decay model for the investment of $38,976 with decreased rate 3.5% for 't' years is equal to option b. 38,976 (0.965 )^t.

Invested amount by Kindred =  $38,976

Each year investment decreased by 3.5%

Number of years represented by 't' = 3 years

Amount decreased by 100 - 3.5% = 96.5%

                                                        = 0.965

Total amount decreased in three years = $38,976  × ( 0.965 )³

                                                                  = $35,025.085

Exponential decay model for 't' years at the same rate is given by the equation :

= 38,976  × ( 0.965 )^t

Therefore, the exponential decay model for the given situation of investment with decreasing rate is given by option b. 38,976 (0.965 )^t.

The above question is incomplete , the complete question is:

Kindred invested $38,976 into his first company. His investment decreased by 3.5% each year over the first 3 years. Which exponential decay model could Kindred use to determine the amount his investment will be worth if it continues to decrease at the same rate?

a. 38,976 (1.035 )^t

b. 38,976 (0.965 )^t

c. 38,976 (1 -r )^3.5

d. 38,976 (1 -r )^0.035

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Answer: $1.05 per orange

Step-by-step explanation:

12.33 - 2.88 = 9.45

9.45 ÷ 9 = 1.05

Probability sampling procedure is the way researcher adhere closely to precise selection procedures to ensure that the results are projectable to the population under study.

What is Probability Sampling ?

Using this methodology based on probability theory, probability sampling is the strategy in which the research fellows selects samples from the larger population. A participant must be chosen at random if they are to be used as a probability as a sample.

As in this question researcher must follow Probability sampling, a participant must be chosen at random if they are used as a probability as the sample.

So, the required answer will be Probability sampling, as it helps researcher to precise selection procedures.

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Answer:

The slope of the line is 3.

Step-by-step explanation:

Given function;

x(t) = -t² + 5t

y(t) = 3t, when t = 2

\(\frac{dx}{dt} = -2t + 5\)

\(\frac{dy}{dt} = 3\)

\(\frac{dy}{dx}= \frac{dy}{dt} \ \times \ \frac{1}{\frac{dx}{dt} } \\\\\frac{dy}{dx}= 3 \ \times \frac{1}{-2t + 5} \\\\\frac{dy}{dx}= \frac{3}{-2t + 5}\)

t = 2

\(Then, \ \frac{dy}{dx}= \frac{3}{-2(2) + 5} \\\\\frac{dy}{dx}= \frac{3}{-4 + 5} \\\\\frac{dy}{dx}= \frac{3}{1} \\\\\frac{dy}{dx}= 3\)

Therefore, the slope of the line is 3.

Using Pythagoras theorem to set a system of equations, the longer side is 11 unit and shorter side is 3 unit

A system of equations is a set of two or more equations containing two or more variables. The goal of a system of equations is to find the values of the variables that satisfy all of the equations simultaneously.

In this problem, we can define our unknown variables as;

Let;

Using Pythagoras theorem;

x² + y² = (√130)²

x² + y² = 130 ...(i)

The perimeter of the triangle is the sum of sides in the triangle.

x + y + √130 = 14 + √130

x + y = 14 + √130 - √130

x + y = 14 ...eq(ii)

From equ(ii)

x = 14 - y ...eq(iii)

Put eq(iii) into eq(i)

x² + y² = 130

(14 - y)² + y² = 130

y² - 28y + 196 + y² = 130

2y² - 28y + 66 = 0

Solving the quadratic equation

y = 11

Put y = 11 into equ(ii)

x + y = 14

x + 11 = 14

x = 3

The shorter side is 3 units and longer side is 11 units

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Answer:

f(2)= -4 f(3)= 1

Step-by-step explanation:

Answer:

(tan-1x)' = 1/(1 + x2)

Step-by-step explanation:

The differentiation of tan inverse x is the process of finding the derivative of tan inverse x with respect to x.

Answer:

110000=p(1+0.019)^168

23.62p=110000

p=4660

credit: sqdancefan

Answer:

84330

Step-by-step explanation:

The compound interest formula gives the value of an investment.

 A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years. Using your given values, we can solve for P.

 110,000 = P(1 +0.019/12)^(12·14)

 P = 110,000/(1 +0.019/12)^(12·14) ≈ 110,000/1.00158333...^168

 P ≈ 110,000/1.30446

 P ≈ 84326.04 ≈ 84,330 . . . . dollars

Answer:

141

Step-by-step explanation:

1. The volume of a cylinder is \(\pi r^2h\), where r = radius and h = height. In this case, the height is 5 feet and the radius is 3 feet.

Solving Volume

Step 1: Plug in values

Step 2: Simplify.

Therefore, the volume of the cylinder is 141 ft^3 (but don't put ft^3, as mentioned in the problem).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

20 boys

Step-by-step explanation:

b = 2g

100% - 20% = 80%

80% ÷ 2 = 40% = 0.4

0.4g = 4 ⇒ g = 4 ÷ 0.4 = 10

b = 2 × 10 = 20

There are 10girls and 20 boys study in the class.

Answer:

-14/3y+ 14

Step-by-step explanation:

hope this helps

The coordinates of B when it is given that A(5,-2) and M(12,6) is (29, 14).

If M is the mid-point of line segment AB, and the coordinates of A = (5,-2) while the coordinates of B = (12,6), then the coordinates of M = (8.5,2), which is what you stated that you got.

You are provided with M = (12,6) so you need to identify the coordinates of B. So, just ask yourself how did I get from A to M ? The answer is move 7 right and 8 up since 5 + 7 = 12 while -2 + 8 = 6. All you have to do is add 7 more to the x-value and 8 more to the y-value to obtain the correct answer of (19,14).

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Find the coordinates of B when it is given that A(5,-2) and M(12,6),

The number of more friends that Bobby need to call to help finish cleaning in time is 20 friends.

Let x represent number of more friends

Number of hours=8×(9+1)

Number of hours=8×10

Number of hours=80 hours

Hence:

10×2+2(10+x)=80

20+20+2x=80

Collect like terms

2x=80-40

2x=40

Divide both side by 2x

x=40/2

x=20 friends

Therefore the number of more friends that Bobby need to call to help finish cleaning in time is 20 friends.

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Answer:

yeah its C. composed and ejected

Step-by-step explanation:

i took the test :) edge 2022

The graph of the function lies below or touches the x-axis but does not rise above it.

The axis of symmetry is a vertical line passing. For the function y = -1.5(x + 20)², the vertex is (-20, 0), the axis of symmetry is the vertical line x = -20, the function has a maximum value of 0, the domain is all real numbers (-∞, ∞), and the range is y ≤ 0.

The vertex of the function is obtained by taking the opposite sign of the values inside the parentheses of the quadratic term. In this case, the vertex is (-20, 0), indicating that the vertex is located at x = -20 and y = 0.

The axis of symmetry is a vertical line passing through the vertex. In this case, the axis of symmetry is x = -20.

Since the coefficient of the quadratic term is negative (-1.5), the parabola opens downward, and the vertex represents the maximum point of the function. The maximum value is 0, which occurs at the vertex (-20, 0).

The domain of the function is all real numbers since there are no restrictions on the x-values.

The range of the function is y ≤ 0, indicating that the function has values less than or equal to 0. The graph of the function lies below or touches the x-axis but does not rise above it.

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In the given arithmetic progression Common difference is 14.

An arithmetic progression is a set of integers with a fixed difference between any two succeeding numbers (A.P.).

Given, the n term of ap is Sₙ = 3n² + 5n

Where n is the number of terms

S₁ = 3* 1 + 5*1

S₁ = 8

S₂ = 3 * 4 + 5*2

S₂ = 22

common difference = 22-8

Common difference = 14

therefore, the Common difference in the given AP is 14.

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The general form of an increasing exponential equation is:

With the following restrictions:

Here, A is the starting point (the y-intercept), because y = A when x = 0.

The crucial value (z) relies on the desired level of confidence and is predicated on a normal distribution when creating a confidence interval for a proportion (p) with a confidence level of 93%.

A 93% confidence level in this instance translates to an alpha level of 0.07 (1 - 0.93 = 0.07) that is split evenly between the two tails. In the usual normal distribution table, we search for the value that falls within the range of 0.07 to find the proper z-value. A 93% confidence level corresponds to a z-value of roughly 1.81. The confidence interval for the proportion p may be calculated using this number and provides a range where the genuine proportion is like to fall.

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Answer:

B.

Step-by-step explanation: