Using proportions, it is found that the total volume of the glass is of 216 cm³.
<h3>What is the missing information?</h3>
The problem is incomplete, but researching it on a search engine, it is found that:
- Initially, the glass is 1/3 full.
- After adding 63 cm³ of orange of juice, the glass is 5/8 full.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Considering the volume of the glass as x, and the information given in the problem, the following equation can be built:
We solve for x to find the volume of the glass as follows:
Then, applying cross multiplication:
7x = 24 x 63
Simplifying by 7:
x = 24 x 9
x = 216 cm³.
The total volume of the glass is of 216 cm³.
More can be learned about proportions at brainly.com/question/24372153
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a. What percent of people earn less than $40000?
Solution: Let S be the random variable of a salary of employee (in $), S ~ N(50000,20000). Then the random
variable X =−50000
20000
~N(0,1).
( < 40000) = ( <
40000 − 50000
20000 ) = ( < −0.5) = (−0.5) = 0.3085375.
Here Φ(x) denotes the cumulative distribution function of a standard normal distribution.
Answer: 31%.
b. What percent of people earn between $45000 and $65000?
Solution:
(45000 < < 65000) = (
45000 − 50000
20000 < <
65000 − 50000
20000 ) = (−0.25 < < 0.75)
= (0.75) − (−0.25) = 0.7733726 − 0.4012937 = 0.3720789.
Answer: 37%.
c. What percent of people earn more than $70000?
Solution:
( > 70000) = ( >
70000 − 50000
20000 ) = ( > 1) = 0.8413447.
Answer: 84%.
Answer:
2
Step-by-step explanation:
Given expression:
y^2 - 5y - 4
y = 6
Substitute y = 6 into the expression
y^2 - 5y - 4
6^2 - 5(6) - 4
(6*6) - (5*6) - 4
36 - 30 - 4
36 - 34
2
The value of the expression y^2 - 5y - 4 is 2 when y = 6
Answer:
<u>16</u>
Step-by-step explanation:
We need to find 2 numbers that have a difference of 8.
Let take's 16 and 8.
As we know :
⇒ 16 - 8
⇒ <u>8</u>
<u />
The larger of these 2 numbers is <u>16</u>
The order is: 9.036, 9.535, and 9.982.
