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is a whole number with 4 digits always greater than or less than a whole number with 3 digits explain

Yuri [45]

Answer:
A whole number with 4 digits is always greater than a whole number with 3 digits.
This requires that both numbers be positive.

Explanation.
In the decimal system, we count 0,1,2, ..., 9 (1st digit).
When we reach 10, we shift left and count in tens from 10,20,30, ..., 90 (2nd digit).
When we reach 100, we shift left and count in hundreds from 100,200,300, ..., 900 (3rd digit).
Then we count in thousands as 1000,2000, ... ( 4th digit).

Because the 4th digit counts in thousands and the 3rd digit counts in hundreds, a whole number in the 4th digit will be greater than a whole number in the 3rd digit.

8 0

3 years ago

A math professor notices that scores from a recent exam are normally distributed with a mean of 61 and a standard deviation of 8

Alexeev081 [22]

Answer:

a) 25% of the students exam scores fall below 55.6.

b) The minimum score for an A is 84.68.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 61 and a standard deviation of 8.

This means that $\mu = 61, \sigma = 8$

(a) What score do 25% of the students exam scores fall below?

Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.

$Z = \frac{X - \mu}{\sigma}$

$-0.675 = \frac{X - 61}{8}$

$X - 61 = -0.675*8$

$X = 55.6$

25% of the students exam scores fall below 55.6.

(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?

This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.

$Z = \frac{X - \mu}{\sigma}$

$2.96 = \frac{X - 61}{8}$

$X - 61 = 2.96*8$

$X = 84.68$

The minimum score for an A is 84.68.

8 0

3 years ago

Ryan measure the perimeter of his square painting so he can make a wooden frame . find the perimeter of the painting in centimet

egoroff_w [7]

Answer:

Perimeter = 122 cm or 1.22 m

Step-by-step explanation:

The complete question with image is attached.

We know the perimeter is the sum of all the sides.

Since it's already given that one side is 30.5 and we know it is a square, so perimeter would be sum of all the 4 sides [each 30.5 cm].

Perimeter = 30.5 + 30.5 + 30.5 + 30.5 = 122 cm

Also, to get the answer in meters, we need to know that 100 cm = 1 m, hence

We got to divide by 100 to get our answer in meters, so

122/100 = 1.22 meters

Hence

Perimeter = 1.22 m

6 0

3 years ago

A coin is tossed. If head appears, A spinner that can land on any number from 1 to 4 is spun. if tales appears a second coin is

kramer

The answer is c because if head appears and the spinner is spun with 1 - 4 on it then you can get either h1, h2, h3 or h4 and if tales appears and another coin is tossed you can get either th or tt

5 0

3 years ago

Find the measure of the supplement of a 9 degree angle. The measure of the supplement of a 9 degree angle is ?

RoseWind [281]

The supplement of a 9 degree angle is 171 degrees.

5 0

3 years ago