Yes because 12 is a half of 24 and 13 is a half of 26 which all equal to 1/2 . So the answer is YES
Answer:
x = - 2 or x = 5
Step-by-step explanation:
Given
3x² - 9x - 30 = 0 ← in standard form
Divide all terms by 3
x² - 3x - 10 = 0
To factor the quadratic
Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (- 3)
The factors are - 5 and + 2, since
- 5 × 2 = - 10 and - 5 + 2 = - 3, thus
x² - 3x - 10 = 0
(x - 5)(x + 2) = 0
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 2 = 0 ⇒ x = - 2
Answer:
The teacher randomly divides the class into two groups. One of the groups receives computer-based instruction and the other group receives traditional instruction without computers. After instruction, each student takes a test and the teacher wants to compare the test scores of the two groups.
Step-by-step explanation:
A two sample t-test is used to compared the means of two samples who were exposed to different scenarios and therefore, it helps us to see the difference between these two samples.
In this problem, the teacher is experimenting with a new computer-based instruction. To be able to use the two-sample t-test she would have to have two randomly assigned samples and expose each of these two samples to different scenarios (one would receive a traditional instruction and the other one would receive a computer instruction), and finally she would need to compare the scores in both samples.
Therefore, the correct answer would be b) The teacher randomly divides the class into two groups. One of the groups receives computer-based instruction and the other group receives traditional instruction without computers. After instruction, each student takes a test and the teacher wants to compare the test scores of the two groups.
<u>*Option A is incorrect</u> because the students are only exposed to the lesson using a computer program and therefore they aren't exposed to different scenarios.
<u>*Option C is incorrect</u> because although in this case the teacher uses both traditional and computer methods, there are not two different samples and she only gets the opinion of the students which is not an exact method of getting information on the effectiveness of the computer based method.
Answer:
3
Step-by-step explanation:
Get rid of fractions:
Multiply the whole equation, i.e. all terms both sides of the equals sign, by the denominator or the lowest common multiple of all denominators if there are multiple fractions in the equation;
In this case, only one term is a fraction and therefore has a denominator (i.e. 7), so it is this number we multiply the equation by to get:
7(y) = 7(-³/₇.x) + 7(3)
7y = -3x + 21
3x + 7y = 21
Answer:
x1= -7 , x2= 1
Step-by-step explanation:
