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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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A college conducts a common test for all the students. For the Mathematics portion of this test, the scores are normally distrib

Jet001 [13]

Using the normal distribution, it is found that 58.97% of students would be expected to score between 400 and 590.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 502, \sigma = 115$

The proportion of students between 400 and 590 is the p-value of Z when X = 590 subtracted by the p-value of Z when X = 400, hence:

X = 590:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{590 - 502}{115}$

Z = 0.76

Z = 0.76 has a p-value of 0.7764.

X = 400:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{400 - 502}{115}$

Z = -0.89

Z = -0.89 has a p-value of 0.1867.

0.7764 - 0.1867 = 0.5897 = 58.97%.

58.97% of students would be expected to score between 400 and 590.

More can be learned about the normal distribution at brainly.com/question/27643290

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6 0

2 years ago

In 2012, the cost of 3 ounces of silver was $2,460. What was the cost for 1 ounce?

KonstantinChe [14]

Answer:

820 ounces

Step-by-step explanation:

$2,460 divided by 3 = 820 ounces

820 x 3 = $2,460

3 0

3 years ago

Read 2 more answers

Paul has 12 coins in his pocket, consisting entirely of dimes and quarters. If he has a total of 195 cents in coins, how many co

anyanavicka [17]

Let x be the number of dimes

and y be the number of quarters

Total number of coins = 12

So number of dimes + number of quarters = total number of coins

x + y = 12 ---------> equation 1

We know, 1 Quarter = 25 cents, 1 Dime = 10 cents, total cents = 196

y quarters = 25y cents , x dimes = 10x cents

x dimes + y quarters = 195 cents

10x + 25y = 195 -----------> equation 2

Now solve both equations

x + y =12, we solve for y by subtracting x on both sides

y = 12-x

Now substitute y in second equation

10x + 25(12-x) = 195

10x + 300 -25x = 195 (combine like terms)

-15x + 300 = 195 (subtract 300 on both sides)

-15x = -105 ( divide by -15)

x=7

y= 12-x

y=12-7 = 5

The number of dimes = 7

Number of quarters = 5

8 0

3 years ago

How to factor a quadratic equation and find the vertex?

Jet001 [13]

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square. Let's see an example. Convert y = 2x2- 4x + 5 into vertex form, and state the vertex.

6 0

3 years ago

The housing market in Dallas, Texas, experienced a 9.8% increase in the past year. If the median home price was $96,812 one year

JulijaS [17]

Answer: $106,300

Step-by-step explanation:

A = P(1 + r)

A is the accrued amount (balance)
P is the principal (initial amount)
r is the rate --> convert to a decimal

Given: P = 96,812 r = 9.8% --> 0.098

A = 96,812(1 + 0.098)

= 96,812(1.098)

= 106,299.576

rounded to the nearest dollar is $106,300

5 0

3 years ago