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2 years ago

The quadrilaterals JKLM and PQRS are similar.

Mathematics

1 answer:

AlladinOne [14]2 years ago

7 0

Answer:

x = 6.3

Step-by-step explanation:

since the quadrilaterals are similar then the ratios of corresponding sides are in proportion, that is

$\frac{QR}{KL}$ = $\frac{RS}{LM}$ ( substitute values )

$\frac{x}{7}$ = $\frac{3.6}{4}$ ( cross- multiply )

4x = 7 × 3.6 = 35.2 ( divide both sides by 4 )

x = 6.3

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Solve for x. 8x2−3=2

gavmur [86]

8x^2 -3 = 2

add 3 to each side

8x^2 = 5

divide by 8

x^2 =5/8

take the square root of each side

x = +- sqrt (5/8)

7 0

3 years ago

Suppose that the distribution of typing speed in words per minute (wpm) for experienced typists using a new type of split keyboa

KengaRu [80]

Answer:

a. 0.5 or 50%

b. 0.496 or 49.6%

c. 0.8185 or 81.85%

d. Yes, it would be just 0.0013 or 0.13% of probability to find a typist whose speed exceeds 105 wpm

e. 0.0252 or 2.52%

f. The qualifying speed would be 47.4 wpm.

Step-by-step explanation:

a. Let's find the z-score this way:

μ = 60 σ= 15

z-score = (x - μ)/σ

z-score = (60 - 60)/15

z-score = 0

Now, let's calculate the p value for z-score = 0, using the z-table:

p (z=0) = 0.5 or 50%

b. z-score = (x - μ)/σ

z-score = (59.9 - 60)/15

z-score = -0.01

Now, let's calculate the p value for z-score = -.0.01, using the z-table:

p (z = -0.01) = 0.496 or 49.6%

If the question were less or equal than 60, a and b would have the same answer. But in this case, the question is "less than 60 wpm".

z-score = (x - μ)/σ

z-score = (45 - 60)/15

z-score = - 1

Now, let's calculate the p value for z-score = -1, using the z-table:

p (z = -1) = 0.1587

z-score = (x - μ)/σ

z-score = (90 - 60)/15

z-score = 2

Now, let's calculate the p value for z-score = 2, using the z-table:

p (z = 2) = 0.9772

In consequence,

p (-1 ≤ z ≤ 2) = 0.9772 - 0.1587 = 0.8185 or 81.85%

d. z-score = (x - μ)/σ

z-score = (105 - 60)/15

z-score = 3

Now, let's calculate the p value for z-score = 3, using the z-table:

p (z = 3) = 0.9987

In consequence,

p (z > 3) = 1 - 0.9987 = 0.0013

Yes, it would be just a 0.13% of probability to find a typist whose speed exceeds 105 wpm.

e. z-score = (x - μ)/σ

z-score = (75 - 60)/15

z-score = 1

Now, let's calculate the p value for z-score = 1, using the z-table:

p (z = 1) = 0.8413

In consequence,

p (z > 1) = 1 - 0.8413 = 0.1587

and if the two typists are independently selected, then

p = 0.1587 * 0.1587

p = 0.0252 or 2.52%

f. p = 0.2, using the z-table, the z-score is -0.84, then:

z-score = (x - μ)/σ

-0.84 = (x - 60)/15

-12.6 = x - 60

-x = -60 + 12.6

-x = - 47.4

x = 47.4

The qualifying speed would be 47.4 wpm.

8 0

2 years ago

A listing for a home for sale is shown as follows: "3/2/2 house for sale. Price

MariettaO [177]

I believe C. Because it provides a more meaningful explanation

7 0

2 years ago

Read 2 more answers

What is the value of 36x-8y^2 when x=3 and y= -6?

Zepler [3.9K]

Answer:

-6 gets canceled out because it gets squared. When you square a number, you multiply it by itself. Any negative number times a negative number results in a positive number. So instead of -36 its just 36

7 0

1 year ago

The compound inequality 8.00 ≤ x < 9.50 represents all values, x, for which college students are paid hourly as teacher assis

Orlov [11]

Answer: x≥ 8.00 and x < 9.50 is the correct option.

Step-by-step explanation:

Since, given expression 8.00 ≤ x < 9.50

Where x is the value for which college students are paid hourly as teacher assistants.

so, x is greater than or equal to 8.00

Therefore, $x\geq 8.00$

And, x is less than 9.50

Therefore, x < 9.50

On combining both expression we get, $x\geq 8.00$ and $x < 9.50$ .

Thus, Third Option is correct.

3 0

3 years ago

Read 2 more answers