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Setler [38]
3 years ago
11

What’s the standard form for 2.45x10 to the power of -4

Mathematics
1 answer:
Elenna [48]3 years ago
5 0

Answer:

0.000245

Step-by-step explanation:

Move the decimal to the left 4 times.

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Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op
Mashcka [7]

Answer:

a) P(X<50)=0.9827

b) P(X>47)=0.4321

c) P(-1.5<z<1.5)=0.8664

Step-by-step explanation:

We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.

a) This means we have to calculate P(x<50).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

z=\dfrac{X-\mu}{\sigma}=\dfrac{50-46.7}{1.75}=\dfrac{3.7}{1.75}=2.114\\\\\\P(X

b) We have to calculatee P(x>47).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

z=\dfrac{X-\mu}{\sigma}=\dfrac{47-46.7}{1.75}=\dfrac{0.3}{1.75}=0.171\\\\\\P(X>47)=P(z>0.171)=0.4321

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

z=\dfrac{(\mu+1.5\sigma)-\mu}{\sigma}=\dfrac{1.5\sigma}{\sigma}=1.5

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

P(-1.5

3 0
3 years ago
Scenario: The Cannon Instructions: View the video found on page 1 of this Journal activity. Using the information provided in th
Artyom0805 [142]

Answer:

Part A

Yes

Part B

He will land at a point 30 meters from Cannon

Step-by-step explanation:

Part A

The given function that represent the path of the Cannon, which is the path of a parabolic arc, is presented as follows;

f(x) = -0.05·(x² - 26·x - 120)

We note that the height, 'h', of the path of a parabola at a horizontal distance, 'x' from the origin is equal to f(x)

Therefore, given that at the ground level, at the start and end of the flight, the f(x) = 0, we can write;

-0.05·(x² - 26·x - 120) = 0

∴ x² - 26·x - 120 = 0

x = (26 ± √((-26)² - 4 × 1 × (-120)))/(2 × 1)

Which gives;

x = 30 or x = -4

Therefore, he lands at a point 30 meters from the starting point

Therefore, the function gives enough information to tell where he will land

Part B

He lands at the point, x = 30 from the point the cannon was fired.

3 0
2 years ago
PLEASE HELP, 50 POINTS! This is a triangle investigation.
mylen [45]
A) they fornite a right angle and 2 acute angles(not 100% sure of what the Questions is asking)


B) they appear to form a triangle

C) the angles add up to 180 as they always do in all triangles





















B)
5 0
2 years ago
Read 2 more answers
What are the names of three planes that contain point B? a planes ABD, EFG, and BDH b planes ABD, AEF, and DHF c planes CDH, ABF
Radda [10]

Answer

Sol: The correct answer is b. three planes that contain point B are ABD, AEF and DHF.

8 0
3 years ago
Alvin is 9 years older than Elga. The sum of their ages is 89. What is Elga's age?
Mekhanik [1.2K]

Answer:

Alvin: 49

Elga: 40

Step-by-step explanation:

  1. The equation is 89 = x + (x-9).
  2. Remove the parenthesis and combine the like terms. 89 = 2x - 9
  3. Add 9 on both sides. 98 = 2x
  4. Divide by 2 on both sides. x = 49
  5. 49 is the age of Alvin. (49-9) 40 is the age of Elga.
7 0
3 years ago
Read 2 more answers
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