Answer:
In the model, Mateo's swimming frequency per week is illustrated by the...4 rectangles...
Each time Mateo swims at the pool, the distance he covers in miles is shown as the...2 shaded sections out of 3 in 1 rectangle.
The expression...8/12 x 2/3 can be used to calculate the overall distance that Mateo swims in a week, resulting in...4/9 miles.
Step-by-step explanation:
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The correct answer is:
She can ascertain that while there exists an association between the variables, a correlation does not exist, and causation cannot be established.
Explanation:
Due to the arch shape of her graph, it indicates that as one variable varies, the other also changes. This indicates an association exists between these variables.
Nonetheless, given that the graph does not follow a linear pattern, no correlation can be claimed. As there is no correlation, causation cannot be determined.
Answer:
2/5
Step-by-step explanation:
By subtracting 130, 35, and 74 from the total of 400, you arrive at 160 left. Next, simplify this fraction by finding the greatest common divisor to get 2/5!
Answer: The hourly charge for the rototiller is $3.
Step-by-step explanation:
Let h denote the hourly rate for the rototiller rental.
The rental provider imposed a base fee of $43 in addition to a charge per hour. Assuming the rototiller was rented for x hours, the cost incurred would total
43 + hx.
If they paid $64 for 7 hours of rental, the equation representing this situation would be
43 + 7h = 64.
Resolving gives us 7h = 64 - 43 = 21.
Therefore, h = 21/7 = $3.
Answer:
Step-by-step explanation:
Given data and notation
indicates the sample mean
refers to the sample standard deviation
is the sample size
represents the value we are testing.
indicates the significance level for the hypothesis test.
t refers to the statistic of interest.
is the p-value for the test (the variable we are interested in).
Formulate the null and alternative hypotheses.
I will set up the hypotheses to verify if the mean weight falls below 4 ounces, formalizing:
Null hypothesis: 
Alternative hypothesis: 
Since our sample size is < 30 and the population standard deviation is unknown, it’s advisable to utilize a t test to compare the actual mean against the reference value, with the statistic calculated as follows:
(1)
t-test: "This test compares group means and is commonly utilized to determine if the mean is (greater than, less than, or not equal to) a specific value."
Calculate the statistic
We can substitute the provided information into formula (1):
