First is 10 spaces, the second is 5 spaces.
False. Please mark me brainiest!
There is a correlation between the number of hours spent on studies and the score on music tests.
We have given that,
The table below shows the data:
Number of hours spent studying (x) 0 0.5 1 1.5 2 2.5 3 3.5 4
Score on music test (y) 60 62 64 66 68 70 72 74 76
<h3>How to explain the correlation?</h3>
As we increase the 0.5 hours of studying, then the music score increases by 2. The function which best fits the data for the correlation is y=60 + 4x
The slope and y-intercept of the plot indicate that Y= score obtained in music test and number of hours spent on studying.
The slope of the above equation represents the rate of increase in music score with respect to an increase in the number of hours spent on studying.
The y-intercept gives the music score when the number of hours spent on studying is zero.
Learn more about correlation on:
brainly.com/question/4219149
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The option formatting isn't very clear, anyway: given a number x, negative 3 times that number is -3x. If this has to be at least 57, it means that -3x must be greater than or equal to 57:
Dividing both sides by -3 solves the equation, but we have to switch the inequality sign because we're dividing by a negative number:
Step-by-step explanation:
Step 1: From the given equation, taking the Left Hand Side (LHS) of the equation
Step 2: Simplify the LHS to make it equal to the Right Hand Side (RHS)
LHS = sin^4x - cos^4x = (sin²x)² - (cos²x)²
= (sin²x - cos²x)(sin²x + cos²x)
= sin²x - (1 - sin²x) since sin²x + cos²x = 1
= 2 sin²x - 1
= RHS
Hence proved.
