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3 years ago

Parallelogram PQRS has diagonals that are perpendicular. Based on that, which statement is most correct?

Mathematics

2 answers:

viva [34]3 years ago

4 0

Answer:

B- Parallelogram PQRS is also a rhombus.

Step-by-step explanation:

Given

Parallelogram PQRS with perpendicular diagonals

Required

Which of the option is true

(a) PQRS can be a rectangle

A rectangle do not have perpendicular diagonals.

Hence, (a) is false

If (a) is false, then (d) is also false

(b) PQRS can a rhombus

The diagonals of a rhombus are not perpendicular.

So (b) is true

No need to check for (c), since only option is true

Sveta_85 [38]3 years ago

3 0

Answer:

B- Parallelogram PQRS is also a rhombus.

Step-by-step explanation:

Hope this helps

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This is easy but I’m very slow please help mi amor

Gre4nikov [31]

I got 42 so try that and see

7 0

2 years ago

A sample of 100 is drawn from a population with a proportion equal to 0.50. Determine the probability of observing between 43 an

diamong [38]

Answer:

The probability of observing between 43 and 64 successes=0.93132

Step-by-step explanation:

We are given that

n=100

p=0.50

We have to find the probability of observing between 43 and 64 successes.

Let X be the random variable which represent the success of population.

It follows binomial distribution .

Therefore,

Mean, $\mu=np=100\times 0.50=50$

Standard deviation , $\sigma=\sqrt{np(1-p)}$

$\sigma=\sqrt{100\times 0.50(1-0.50)]$

$\sigma=5$

Now,

$P(43\leq x\leq 64)=P(42.5\leq x\leq 64.5)$

$P(42.5\leq x\leq 64.5)=P(\frac{42.5-50}{5}\leq Z\leq \frac{64.5-50}{5})$

$=P(-1.5\leq Z\leq 2.9)$

$P(42.5\leq x\leq 64.5)=P(Z\leq 2.9)-P(Z\leq- 1.5)$

$P(42.5\leq x\leq 64.5)=0.99813-0.06681$

$P(43\leq x\leq 64)=0.93132$

Hence, the probability of observing between 43 and 64 successes=0.93132

4 0

3 years ago

If the perimeter of a square is 80 m, find its side and its area.

Katarina [22]

Answer:20

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Explain and give example of binomial theorem

Ludmilka [50]

Answer:

A binomial is an algebraic expression containing 2 terms. For example, (x + y) is a binomial.

Step-by-step explanation:

I tried to answer it the best I could, hope this helps!

7 0

3 years ago

The Russell family and the Gonzalez family each used their sprinklers last summer. The water output rate for the Russell family'

Alexus [3.1K]

Answer:

Russell family's sprinkler: 40 hours

Gonzales family's sprinkler: 20 hours

Step-by-step explanation:

Let's call the amount of time the Russell family's sprinkler was on by X, and the Gonzales family's sprinkler by Y.

We can then formulate the equations:

X + Y = 60

X*35 + Y*40 = 2200

We can solve this system multiplying the first equation by 35, and then subtracting the result from the second equation:

35*X + 35*Y = 2100

5*Y = 100

Y = 20

from the first equation:

X + 20 = 60

X = 40

Russell family's sprinkler: 40 hours

Gonzales family's sprinkler: 20 hours

8 0

3 years ago