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3 years ago

Find the range of possible values of n.

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

6 0

Answer:

B. 6 < n < 25

Step-by-step explanation:

We are given the triangles WXY and WZY with sides XY and ZY congruent and equal to 8.

As the sides WX = 11 > WZ = 9.

Then, the angles opposite to WX will be greater than the angle opposite to WZ.

i.e. ∠WYX > ∠WYZ

i.e. (7n+5)° > 47°

i.e. 7n° > 42°

i.e. n > $\frac{42}{7}$ °

i.e. n > 6°

Since in ΔWXY, the sum of all three angles is 180°.

This means that (7n+5)° < 180°

i.e. 7n < 175°

i.e. n < $\frac{175}{7}$ °

i.e. n < 25°

Hence, we get that the range of n is 6 < n < 25.

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Q5: The probability that event A occurs is 5/7 and the probability that event B occurs is 2/3 . If A and B are independent event

bekas [8.4K]

Answer:

$P(A \cap B)$

And we can use the following formula:

$P(A \cap B)= P(A)* P(B)$

And replacing the info we got:

$P(A \cap B) = \frac{5}{7} \frac{2}{3}= \frac{10}{21}=0.476$

Step-by-step explanation:

We define two events for this case A and B. And we know the probability for each individual event given by the problem:

$p(A) = \frac{5}{7}$

$p(B) = \frac{2}{3}$

And we want to find the probability that A and B both occurs if A and B are independent events, who menas the following conditions:

$P(A|B) = P(A)$

$P(B|A) = P(B)$

And for this special case we want to find this probability:

$P(A \cap B)$

And we can use the following formula:

$P(A \cap B)= P(A)* P(B)$

And replacing the info we got:

$P(A \cap B) = \frac{5}{7} \frac{2}{3}= \frac{10}{21}=0.476$

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