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2 years ago

How do you write 1.5 × 104 in standard form?

1 answer:

5 0

I'm assuming you meant 1.5 × 10⁴. Remember, when we write in standard form, you need to use ^ to denote it's 'to the power of'. So it would be 1.5 × 10^4.

I'm also assuming you meant in decimal form, because that's already in standard form.

However, the answer is 15,000. This is because you lose one zero when multiplying a decimal with one number after it. For each number after the decimal, you take off a zero. Therefore, the end number is 15,000.

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The weight of an organ in adult males has a bell-shaped distribution with a mean of 320 grams and a standard deviation of 45 gr

irina1246 [14]

Answer:

a) 99.7%

b) 68%

c) 68% of organs weighs between 275 and 365 grams, so 32% of organs weighs will be less than 275 or more than 365 grams.

d) 81.5% of organs weighs between 290 grams and 365 grams.

Step-by-step explanation:

A) 99.7% of organs will be between 3 standard deviation from the mean.

$320 - 3 \times 45 = 185$

$320 + 3 \times 45 = 455$

So 99.7% of organs will be between 185 and 455.

B) 275 grams and 365 grams are 1 standard deviation from the mean.

From empirical rule about 68% data falls within 1 standard deviation from the mean.

So 68% of organs weighs btwn 275 grams and 365 grams.

C) Since 68% of organs weighs between 275 and 365 grams, so 32% of organs weighs will be less than 275 or more than 365 grams.

D) 230 is 2 standard deviation below the mean and 365 is one standard deviation above the mean.

According to the empirical rule, 95% of the observation lies within 2 standard deviations of the mean. Therefore 5% lies outside 2 standard deviations of the mean.

So 95%/2 = 47.5% of organs weighs between the mean and 230 grams.

According to the empirical rule about 68% data falls within one standard deviation from the mean.

so, 68%/2 = 34% of organs weighs between the mean and 365 grams.

So total = 47.5% + 34% = 81.5% of organs weighs between 290 grams and 365 grams.

7 0

3 years ago

Help me please past due! Complete all 5 problems in simplest form and tell me what you did

Sonbull [250]

3/6= 1/2 because 3 is the half of 6 and 1 is the half of 2

5/20= 1/4 because 1 x 5= 5 and 4 x 5= 20

9/27= 1/3 because 1 x 9 =9 and 3 x 9=27

1/2 is the simplest form already

12/36= 1/3 because 1 x 12= 12 and 3 x 12= 36

6 0

3 years ago

Elena is trying to draw a triangle with side lengths of 4 inches and 3 inches what could be the length of the third side in orde

earnstyle [38]

Elena should put a point where the two circles intersect and draw line segments connecting that point to points A and B to finish her triangle.

4 0

2 years ago

Solve the equation x. 6/∑/n-1 (x-3n)=-3

antiseptic1488 [7]

Answer: I gave the evaluate answer and the differentiate w.r.t x answer. Sorry for caps.

Step-by-step explanation: EVALUATE x4n−3

DIFFERENTIATE W.R.T. X (4n−3)x4(n−1)

3 0

2 years ago

You start at (5, 3). You move down 3 units and left 6 units. Where do you end?

raketka [301]

Answer:

(-1, 0)

Step-by-step explanation:

5 is the x value which is left and right, so you said u move left 6 units. Since the 5 is positive and left is negative; 5-6= -1. 3 is the y value which is up and down (vertical), so you said u move down 3 units, since the 3 is positive, when you move down that is negative; so 3-3=0.

3 0

3 years ago