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3 years ago

For each of the following quadrilaterals, Select all the properties that must be true.

Mathematics

1 answer:

OleMash [197]3 years ago

8 0

Answer:

1) two pairs of parallel sides

2) four right angles and all sides congruent

3) all sides congruent

Step-by-step explanation:

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Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

tigry1 [53]

Answer:

$P(A) = \frac{30}{100}$

$P(B) = \frac{77}{100}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

Step-by-step explanation:

Given

See attachment for proper format of table

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

$Yes = 22$ and $No = 8$

So, we have:

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

Solving (b): P(B)

Here, we only consider data in the Yes column.

In this column:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

So, we have:

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

This cell is: [Supplier 1][Yes]

And it is represented with; n(A n B)

So, we have:

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

8 0

2 years ago

Solve for a<br> 4(a+2) = 8+40

vova2212 [387]

Answer:

Step-by-step explanation:

Do 40+8 first which is 48. then you think "what times four is 48" which is 12. so you need to add something to 2 to make 12. which is 10. A=10 :)

3 0

2 years ago

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Help 26-1x6 ASAP hurry

Ronch [10]

Answer: 20

Step-by-step explanation: Lets break down the problem;

You always use multiplication first when solving an expression.

26 - 1 x 6

1 x 6 = 6

26 - 6 = 20

7 0

3 years ago

How is the numeral 55.12 written in words?

Ivan

Fifty-five and twelve hundreths

4 0

3 years ago

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What is a possible value of sin(theta) when cos2(theta)=0.73?

Sindrei [870]

We use the following trigonometric identity to answer the question:
sin^ 2 (theta) + cos^ 2 (theta) = 1
We substitute the values:
sin ^ 2 (theta) + 0.73 = 1
We cleared:
sin ^ 2 (theta) = 1-0.73
sin ^ 2 (theta) = 0.27
Answer:
a possible value of sin ^ 2 (theta) is:
c.0.26 (nearest option)

8 0

3 years ago