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3 years ago

3.000x10^2+6.000x10^5

1 answer:

hjlf3 years ago

4 0

600300 or 6.003x10^5

3.000= 3 , 6.000= 6

3 x 10^2 = 3 x 100 = 300
6 x 10^5 = 6 x 100000 = 600000
600,000 + 300 = 600300

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What is JK? please explain/show your work on how you got your answer

Travka [436]

Answer:

JK = 20 m

Step-by-step explanation:

A line segment that connects two midpoints of the sides of a triangle is called a midsegment.
A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.

Point J is midpoint of side HI as HJ = JI

Point K is midpoint of side GI as GK = KI

JK is midsegment as connects the midpoints of the sides

JK = 1/2HG as per property of midsegment

6x - 4 = 10x/2
6x - 4 = 5x
6x - 5x = 4
x = 4

JK = 6x - 4 = 6*4 - 4 = 24 - 4 = 20 m

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3 years ago

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Belinda's GPS system worth $400 was stolen out of her car. If Belinda's insurance policy summary is given below, how much will B

Pavlova-9 [17]

She will receive $25.

They will take her claim and subtract the comprehensive deductible from it (comprehensive is the insurance that covers theft, not collision).

400-375=25

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3 years ago

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Joe divides a candy bar into 8 equal pieces for her children to share she gives three pieces to Sam three pieces to Leslie and t

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6/8 n nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

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3 years ago

When we first learn arithmetic, we focus on working with whole numbers. Then, we extend our understanding to fractions and negat

defon

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Give an example from your life experience (outside of school) where it was important to understand fractions. Eg; how many cups of walnuts does she need for five pans of fudge?

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2 years ago

An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiveness of the new meth

Anna35 [415]

Answer:

With 89.9% we can say that the mean improvement is between 583.1 and 728.1 vehicles per hour.

Step-by-step explanation:

We are given that the effectiveness of the new method was evaluated in a simulation study. In 50 simulations, the mean improvement in traffic flow in a particular intersection was 655.6 vehicles per hour, with a standard deviation of 311.7 vehicles per hour.

A traffic engineer states that the mean improvement is between 583.1 and 728.1 vehicles per hour.

Let $\bar X$ = sample mean improvement

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = mean improvement = 655.6 vehicles per hour

$\sigma$ = standard deviation = 311.7 vehicles per hour

n = sample of simulations = 50

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the mean improvement is between 583.1 and 728.1 vehicles per hour is given by = P(583.1 < $\bar X$ < 728.1) = P( $\bar X$ < 728.1) - P( $\bar X$ $\leq$ 583.1)

P( $\bar X$ < 728.1) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{728.1-655.6}{\frac{311.7}{\sqrt{50} } }$ ) = P(Z < 1.64) = 0.9495

P( $\bar X$ $\leq$ 583.1) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{583.1-655.6}{\frac{311.7}{\sqrt{50} } }$ ) = P(Z $\leq$ -1.64) = 1 - P(Z < 1.64)

= 1 - 0.9495 = 0.0505

So, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.64 in the z table which has an area of 0.9495.

Therefore, P(583.1 < $\bar X$ < 728.1) = 0.9495 - 0.0505 = 0.899 or 89.9%

Hence, with 89.9% we can say that the mean improvement is between 583.1 and 728.1 vehicles per hour.

6 0

3 years ago