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2 years ago

Pls answer this about mathhNote :: no links no explain no

Mathematics

2 answers:

statuscvo [17]2 years ago

7 0

Step-by-step explanation:

AC =BC

2x-6=x+8

2x-x=8+6

x=14

5) AC = 2x-6=2(14)-6=28-6= 22

6) BC = x+8= 14+8= 22

7) AB = AC+BC = 22+22= 44

AC =BC

4x+10=7x-5

4x-7x= -5-10

-3x= -15

x= -15/-3 = 5

8) AC = 4x+10=4(5) +10=20+10= 30

9) BC = 7x-5= 7(5) -5=35-5= 30

10) AB = AC+BC = 30+30= 60

Talja [164]2 years ago

4 0

<u>B) Solution</u>

AC = BC

→ 2x-6 = x+8

→ 2x-x = 8+6

→ x = 14

5:- AC = 2x-6 = 2(14)-6 = 28-6 = 22

6:- BC = x+8 = 14+8 = 22

7:- AB = AC+BC = 22+22 = 44

<u>C) Solution</u>

AC = BC

→ 4x+10 = 7x-5

→ 4x-7x = -5-10

→ -3x = -15

→ x = -15/-3

→ x = 5

8:- AC = 4x+10 = 4(5) +10 = 20+10 = 30

9:- BC = 7x-5 = 7(5)-5 = 35-5 = 30

10:- AB = AC+BC = 30+30 = 60

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Read 2 more answers

SAT scores are normed so that, in any year, the mean of the verbal or math test should be 500 and the standard deviation 100. as

vovangra [49]

Answer:

a) $P(X>625)=P(\frac{X-\mu}{\sigma}>\frac{625-\mu}{\sigma})=P(Z>\frac{625-500}{100})=P(Z>1.25)$

$P(Z>1.25)=1-P(Z$

b) $P(400$

$P(-1$

c) $z=-0.842$

And if we solve for a we got

$a=500 -0.842*100=415.8$

So the value of height that separates the bottom 20% of data from the top 80% is 415.8.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the SAT scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(500,100)$

Where $\mu=500$ and $\sigma=100$

We are interested on this probability

$P(X>625)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>625)=P(\frac{X-\mu}{\sigma}>\frac{625-\mu}{\sigma})=P(Z>\frac{625-500}{100})=P(Z>1.25)$

And we can find this probability using the complement rule and with the normal standard table or excel:

$P(Z>1.25)=1-P(Z$

Part b

We are interested on this probability

$P(400$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(400$

And we can find this probability with this difference:

$P(-1$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-1$

Part c

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.8$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.2 of the area on the left and 0.8 of the area on the right it's z=-0.842. On this case P(Z<-0.842)=0.2 and P(Z>-0.842)=0.8

If we use condition (b) from previous we have this:

$P(X$