Answer:
-41 27/100
Step-by-step explanation:
<h3>
Answer: 95 degrees</h3>
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Explanation:
I recommend drawing it out to see what's going on. See the drawing below.
In the diagram, both angles are in the northeast corner of their four-corner configurations. They are both congruent corresponding angles. So that's why the second angle is also 95 degrees.
Side note: we could replace "northeast" with any of the other directions on the compass (such as southwest). All that matters is that they are in the same configuration.
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 5000
For the alternative hypothesis,
H1: µ > 5000
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 5000
x = 5430
σ = 600
n = 40
z = (5430 - 5000)/(600/√40) = 4.53
Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001
Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.
Hi there! Bananas are sold at $0.80 per pound and grapes are sold at $2.50 per pound. To find out how much Mrs. Anderson spent overall, we need to find out how much she spent with each item and then add them up together. She bought 4.3 pounds of bananas and 2.1 pounds of grapes. Let's multiply each of them by the unit prices there are. 4.3 * 0.8 is 3.44 and 2.1 * 2.5 is 5.25. 3.44 + 5.25 is 8.69. There. Mrs. Anderson spent a total of $8.69.
