If a farmer ships 4 times as many oranges as tangerines. The farmer ships 8260 oranges. How many tangerines does he ship.

Suppose the scores of students on a Statistics course are Normally distributed with a mean of 563 and a standard deviation of 37

ololo11 [35]

Answer:

47.72% of students scored between 563 and 637 on the exam .

Step-by-step explanation:

The percentage of the students scored between 563 and 637 on the exam

= The percentage of the students scored lower than 637 on the exam -

the percentage of the students scored lower than 563 on the exam.

Since 563 is the mean score of students on the Statistics course, 50% of students scored lower than 563. that is P(x<563)=0.5

P(x<637)=P(z<z*) where z* is the z-statistic of the score 637.

z score can be calculated using the formula

z*= $\frac{X-M}{s}$ where

X =637

M is the mean score (563)

s is the standard deviation of the score distribution (37)

Then z*= $\frac{637-563}{37}$ =2

P(z<2)=0.9772, which means that 97.72% of students scored lower than 637 on the exam.

As a Result, 97.72%-50%=47.72% of students scored between 563 and 637 on the exam

5 0

2 years ago

A bag contains 5 red marbles, 10 blue marbles, and 14 yellow marbles. If Jen selects a marble from the bag without looking, what

Darina [25.2K]

Answer:

The answer to your question is 0.83 or 83%

Step-by-step explanation:

Data

5 red marbles

10 blue marbles

14 yellow marbles

Process

1.- Calculate the total amount of marbles

Total amount = 5 red + 10 blue + 14 yellow

Total amount = 29 marbles

2.- Calculate the amount of marbles that are not red

No red marbles = 10 + 14

= 24 marbles

3.- Calculate the probability

Probability of not pulling a red marble = $\frac{no red marble}{total amount of marbles}$

Probability of not pulling a red marble = $\frac{24}{29} = 0.83 or 83%$

5 0

2 years ago

The figure below is a right rectangular prism with

svlad2 [7]

Answer:

The area of the base of the rectangular prism is:

18 square centimeters.

The height of the rectangular prism is:

6 centimeters.

The volume of the rectangular prism is:

108 cubic centimeters.

Step-by-step explanation:

To find the area of the base of the prism, you must remember that it corresponds to the rectangle formed by the points ABCD, with this in mind we apply the area formula that is equal to:

Area of a rectangle = base * height.

Since the rectangle formed by the mentioned points has a base of 9 cm and a height of 2 cm, these values are the ones we use in the formula:

Area of a rectangle = 9 cm * 2 cm
Area of a rectangle = 18 cm^2

Since the height requested by the second question is not from the rectangle at the base but from the entire prism, you should look at the height formed by the AW points, which as you can see is: