The fraction was greater than 1/2.
When you divide by a fraction, it is equal to multiplying by its reciprocal. The reciprocal of 1/2 is 2/1, or just 2. Therefore, dividing by 1/2 equals the same thing as when you multiply by 2.
A mixed number has a whole number and a fraction added together. So, the mixed number must be greater than 1.
1/2 is equal to 0.5, and 0.5 multiplied by 2 equals 1. A fraction less than 1/2 multiplied by 2 would equal a number less than 1, while a fraction greater than 1/2 would equal a number greater than 1.
Because a mixed number must be greater than 1, and a fraction greater than 1/2 multiplied by 2 would be greater than 1, the fraction that resulted in a mixed number after being multiplied by 2 must have been greater than 1/2.
Answer:
x = 9.6
Step-by-step explanation:
Given that x varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition x = 4 when y = 15
k = 
= 
x = y ← equation of variation
When y = 36, then
x = × 36 = 
= 9.6
Answer:
Correct option: (D).
Step-by-step explanation:
A null hypothesis is a hypothesis of no difference. It is symbolized by <em>H₀</em>.
A Type I error is the probability of rejection of the null hypothesis of a test when indeed the the null hypothesis is true.
The type I error is also known as the significance level of the test.
It is symbolized by P (type I error) = <em>α</em>.
In this case the researcher wants to determine whether the absorption rate into the body of a new generic drug (G) is the same as its brand-name counterpart (B) or not.
The hypothesis for this test can be defined as:
<em>H₀</em>: The absorption rate into the body of a new generic drug and its brand-name counterpart is same.
<em>Hₐ</em>: The absorption rate into the body of a new generic drug and its brand-name counterpart is not same.
The type I error will be committed when the null hypothesis is rejected when in fact it is true.
That is, a type I error will be made when the the results conclude that the absorption rate into the body for both the drugs is not same, when in fact the absorption rate is same for both.
Thus, the correct option is (<em>D</em>).
Answer:
- <u>The farmer bought 170 animals of each species</u>.
Step-by-step explanation:
The translation of the question into English is:
<em>"a farmer bought the same number of calves and cows for 476,000. He/she paid 800 for a calf and 2000 for a cow, how many animals of each species did he/she buy?"</em>
<em />
<h2>Solution to the problem</h2>
<u>1. Choose the variable's name and translate the verbal statements into algebraic expressions:</u>
- a) number of calves or cows: x
- b) He/she paid 800 for a calf: 800x
- c) He/she paid 2,000 for a cow: 2000x
- d) For 476,00: 800x + 2000x = 476,000 . . . . this is your equation
<u />
<u>2. Solve the equation:</u>
<u>a) Write the equation:</u>
<u>b) Add like terms:</u>
<u>c) Use division property of equalities: divide both sides by 800:</u>
<u>d) Translate the solution into a verbal statement:</u>
Since x represents both the number of calves and the number of cows, the answer is:
- <u>The farmer bought 170 animals of each species</u>.
Answer:
4
Step-by-step explanation:
