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Morgarella [4.7K]
3 years ago
5

Write the number in standard form. 7×10^7

Mathematics
2 answers:
mamaluj [8]3 years ago
4 0
7×10^7 = 70000000 (10^7 = 10000000)
Charra [1.4K]3 years ago
3 0

The first 7 is the same as 7.0

The second 7 is the exponent over the 10 telling us how many spots to move the decimal to the right. We move to the right because the exponent is positive. So we'll move 7 spots to the right to go from 7.0 to 70,000,000 which is the number 70 million.

Answer: 70,000,000

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A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys
Luba_88 [7]

Answer:

z=-1.28

And if we solve for a we got

a=470 -1.28*60=393.2

So the value of height that separates the bottom 10% (Fastest 10%) of data from the top 90% is 393.2.

so if the time is 393.2 or lower a boy would earn a certificate of recognition from the fitness association

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

X \sim N(470,60)  

Where \mu=470 and \sigma=60

NOTE: For this case the fastest 10% is on the lower tail of the distribution

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

P(X>a)=0.9   (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 0.1 of the area on the left and 0.9 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.1 and P(z>-1.28)=0.9

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

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-1.28

And if we solve for a we got

a=470 -1.28*60=393.2

So the value of height that separates the bottom 10% (Fastest 10%) of data from the top 90% is 393.2.

so if the time is 393.2 or lower a boy would  earn a certificate of recognition from the fitness association

4 0
3 years ago
4{3sqaured+4(116-8(2×8))} I need to know ASAP it 9:30 where I live pls hwlp
inysia [295]
Start with 8*2=16
116-8= 108
108(16)=1728
3^2+4=13 13(1728)=22464
4(22464)=89856
The answer is 89,856
3 0
3 years ago
Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a red card
joja [24]

Answer: \dfrac{3}{51}

Step-by-step explanation:

Given : The total number of cards in a deck = 52

Number of red cards = 26

There are two types of red  cards : diamond and heart.

Number of diamond cards = 13

The probability that the first card is a diamond :-

\dfrac{13}{52}=\dfrac{1}{4}

Since diamond is also a red card.

Now, the total cards left = 51

The number of red cards left = 12

The probability that the second card is a red card (without repetition) is given by :-

\dfrac{12}{51}

Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-

\dfrac{1}{4}\times\dfrac{12}{51}=\dfrac{3}{51}

7 0
3 years ago
Math 7 Grade 7
sdas [7]
A and D are Experimental
B and C are Theoretical

Experimental has a specific number of trials like the 11 flips or the classroom of students
Theoretical is based on what is ONLY there like C 3 numbers in a 6 sided die are even 3/6 = .5 = 50%
6 0
3 years ago
Evaluate the 6 trigonometric functions of theta for 540 degrees
Sophie [7]
540 degrees is equivalent to 180 degrees. Cotangent and cosecant are invalid, sine, secant, tangent are all 0 and cosine is -1.
8 0
3 years ago
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