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2 years ago

(7x10^-6) (8x 10^-5)

Mathematics

1 answer:

DENIUS [597]2 years ago

8 0

Answer:

56x^2 + 10^-11

Step-by-step explanation:

multiply the 7x and 8x and you get 56x^2

multiply the 10^-6 and 10^5-5 and you get 10^-11

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Chas and Tyler have been collecting video games. Chas has 25 video games, and Tyler has mm video games. Together they have a tot

Sladkaya [172]

Answer:

Tyler has 40 video games

Step-by-step explanation:

x= chas

y= tyler

z= total

x+y=z

25+y=65

-25 -25

y= 40

8 0

3 years ago

The enrollment at Ousley Jr. High School dropped by 60 students over a 5-year period. What is the average yearly drop in enrollm

Snezhnost [94]

Answer:

The average yearly drop in enrollment is 12.

Step-by-step explanation:

The average refers to the central value in a group of numbers and with the information provided, you can find the average by dividing the number of students that dropped out of the school by the number of years over which that ocurred:

number of students= 60

number of years= 5

60/5=12

According to this, the answer is that the average yearly drop in enrollment is 12.

3 0

3 years ago

A woman is randomly selected from the 18–24 age group. For women of this group, systolic blood pressures (in mm Hg) are normally

Naddik [55]

Answer:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

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:

And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

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".

Solution to the problem

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

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

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: $P(X>140)=P(\frac{X-\mu}{\sigma}>\frac{140-\mu}{\sigma})=P(Z>\frac{140- 1114.8}{2.6})=P(z>1.924)$ And we can find this probability using the complement rule: