All categories

3 years ago

Y is between X and Z on a line. XZ = 15 and XY = 10. What is the length of YZ?

Mathematics

1 answer:

Mariulka [41]3 years ago

3 0

Answer:

Step-by-step explanation:

if xz is 15 and xy is 10 then we can infer that z is 10 and x is 5

You might be interested in

In a study, 36% of adults questioned reported that their health was excellent. A researcher wishes to study the health of peop

steposvetlana [31]

Answer:

0.3907

Step-by-step explanation:

We are given that 36% of adults questioned reported that their health was excellent.

Probability of good health = 0.36

Among 11 adults randomly selected from this area, only 3 reported that their health was excellent.

Now we are supposed to find the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health.

i.e. $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

Formula : $P(x=r)=^nC_r p^r q ^ {n-r}$

p is the probability of success i.e. p = 0.36

q = probability of failure = 1- 0.36 = 0.64

n = 11

So, $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

$P(x\leq 3)=^{11}C_1 (0.36)^1 (0.64)^{11-1}+^{11}C_2 (0.36)^2 (0.64)^{11-2}+^{11}C_3 (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=\frac{11!}{1!(11-1)!} (0.36)^1 (0.64)^{11-1}+\frac{11!}{2!(11-2)!} (0.36)^2 (0.64)^{11-2}+\frac{11!}{3!(11-3)!} (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=0.390748$

Hence the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health is 0.3907

5 0

3 years ago

Which congruence postulate or theorem shows that the triangles below are congruent?

saul85 [17]

Answer:

A. AAS

Step-by-step explanation:

5 0

3 years ago

Please help not hard please it's due today please

levacccp [35]

Answer:

The correct awnser is D.

Step-by-step explanation:

rise/run= 3/3

3/3=1

4 0

3 years ago

How to get 18 by only using four 4s

I am Lyosha [343]

18 = 4 × 4 + 4 −√4 = (44 ÷ √4) − 4

7 0

4 years ago

Whats the answer im stuck ( -___-)

tatiyna

Answer:

(6r+7)+(13+7r)=13r+20

(13-1/2r)-(1-r)=12-1/2r

(-8-r)+(2r-4)=-12+r

Last one is r-13/6

Step-by-step explanation:

6 0

3 years ago