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3 years ago

I need the answers to the 2 blanks

Mathematics

1 answer:

ivolga24 [154]3 years ago

8 0

We know that JL has two parts JK and KL. JL is equal to the sum of these two parts.

JL = JK + KL

Let's plug the expressions from the picture into the equation above.

2x + 8 = 2x - 2+ x - 9

Combine like terms

2x + 8 = 3x - 11

Add 11 to both sides and subtract 2x from both sides.

19 = x

KL = x - 9 = 19 - 9 = 10

In conclusion,

The value of x = 19

The length of line segment KL is 10

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Find the annual percentage rate of change for the population of Oregon. In 2000, there were 4.8

MrRa [10]

Answer:

The annual percentage rate of change for the population of Oregon is of 8.125%.

Step-by-step explanation:

Total percentage change:

Change multiplied by 100 and divided by the initial value.

Change: 8.7 - 4.8 = 3.9 million

Initial value: 4.8

Percentage change: 3.9*100/4.8 = 81.25%

Annual percentage rate of change

81.25% during 10 years(from 2000 to 2010).

So, per year

81.25%/10 = 8.125%

The annual percentage rate of change for the population of Oregon is of 8.125%.

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3 years ago

Formula of interior and exteiror angle and how much interior + exterior equals to

VLD [36.1K]

Answer:

The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.Properties of exterior angles. The sum of exterior angle and interior angle is equal to 180 degrees.

Step-by-step explanation:

I asked Siri...

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2 years ago

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Alekssandra [29.7K]

33/40 is the experimental probability.

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3 years ago

If outliers are discarded, then the retirement savings by residents of Econistan is normally distributed with a mean of $100,000

zavuch27 [327]

Answer:

$P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)$

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

$P(z>0.85)=1-P(z$

The firgure attached illustrate the problem

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 retirement savings of a population, and for this case we know the distribution for X is given by:

$X \sim N(100000,20000)$

Where $\mu=100000$ and $\sigma=20000$

We are interested on this probability

$P(X>117000)$

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:

$P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)$

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

$P(z>0.85)=1-P(z$

The firgure attached illustrate the problem

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3 years ago

Solve the simplify 1/4 times 4/7

Nutka1998 [239]

$\dfrac{1}{\not4_1}\cdot\dfrac{\not4^1}{7}=\dfrac{1}{1}\cdot\dfrac{1}{7}=\boxed{\dfrac{1}{7}}$

6 0

3 years ago