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miv72 [106K]
3 years ago
8

Determine whether the parallelogram is a rhombus, rectangle, square, or none. Explain.

Mathematics
1 answer:
Tju [1.3M]3 years ago
8 0
QRST is a rhombus

Let’s look at the diagonals
Length QS = sr(4^2 + 0) = 4
Length RT = sr(0 + 6^2) = 6
This means it cannot be a square or rectangle as they both have equal length diagonals.

QS is horizontal (y values same)
RT is horizontal (x values same)
This means it is a rhombus because diagonals are perpendicular and different lengths.

Squares have perpendicular diagonals of same length
Rectangles have diagonals of same length but not perpendicular
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Larisa buys 5 hats for $9.99 each. how much does she spend
Andre45 [30]
If you would like to know how much money does Larisa spend on the hats, you can calculate this using the following steps:

5 hats * $9.99 = 5 * 9.99 = $49.95

The correct result would be $49.95.
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3 years ago
Read 2 more answers
At Denver International Airport, 83% of recent flights have arrived on time. A sample of 12 flights is studied. (a) Calculate th
Aleks [24]

Answer:

10.69% probability that all 12 flights were on time

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it was on time, or it was not. The probability of a flight being on time is independent of any other flight. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

83% of recent flights have arrived on time.

This means that p = 0.83

A sample of 12 flights is studied.

This means that n = 12

Calculate the probability that all 12 flights were on time

This is P(X = 12).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{12,12}.(0.83)^{12}.(0.17)^{0} = 0.1069

10.69% probability that all 12 flights were on time

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3 years ago
A guinea pig weighs 1,130 grams.
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Answer:

<u>1.13 kg</u>

Step-by-step explanation:

We know that :

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<u>Multiply both sides by 1.13</u>

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Answer:

Step-by-step explanation:

Part A:

C = 10t + s

Part B:

10(3) + 8

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Write the Equation of the line that has a slope of -2 and passes through the points (9,5)
AlladinOne [14]

Start with the point-slope formula shown at the top in red.

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