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GenaCL600 [577]
2 years ago
14

Enzo is driving to his niece's t-ball game. his sister gave him directions. what will

Mathematics
2 answers:
just olya [345]2 years ago
6 0

The direction given by Enzo's sister is an illustration of distance

Enzo's distance from the east of 1st avenue to the field is 6 miles

<h3>How to describe the directions?</h3>

From the question, we have the following directions:

  • Start at east of 1st avenue
  • Drive 3 miles
  • Make a 90 degrees right turn
  • Drive 1 mile
  • Turn at 90 degrees intersection
  • Drive 2 miles

The above directions imply that the total distance from the east of 1st avenue to the field is:

Distance = 3 miles + 1 mile + 2 miles

Evaluate the sum

Distance = 6 miles

Hence, Enzo's distance from the east of 1st avenue to the field is 6 miles

Read more about distance at:

brainly.com/question/4931057

PolarNik [594]2 years ago
5 0

Answer:

He may reach the field but he may also end up at the lake

Step-by-step explanation:

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100-[(25/5) *10]= ? Not understanding, please help
Iteru [2.4K]
Original Question:
100 - [(25/5) x 10] = ?
Note: Always answer what's inside FIRST. In this case, the main ts the brackets, but there's also parenthesis in it too. So solve that.
→100 - [(5) x 10] = ?
Now, solve what's inside the brackets.
→100 - [50] = ?
Well, you can get rid of the brackets.
→100 - 50 = ?
Subtract!
→100 - 50 = 50
Solution:
50

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2 years ago
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ruslelena [56]
Hello,

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MaRussiya [10]

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2 years ago
In a sample of 42 burritos, we found a sample mean 1.4 lb and assumed that sigma equals.5. In a test of the hypothesis H subscri
Sergio [31]

Answer:

D. 0.9953 (Probability of a Type II error), 0.0047 (Power of the test)

Step-by-step explanation:

Let's first remember that a Type II error is to NOT reject H0 when it is false, and the probability of that occurring is known as β. On the other hand, power refers to the probability of rejecting H0 when it is false, so it can be calculated as 1 - β.

To resolve this we are going to use the Z-statistic:

                                           Z = (X¯ - μ0) / (σ/√n)

where  μ0 = 1.2

            σ = 5

            n = 42

As we can see in part A of the attached image, we have the normal distribution curve representation for this test, and because this is a two-tailed test, we split the significance level of α=0.01 evenly into the two tails, 0.005 in each tail, and if we look for the Z critical value for those values in a standard distribution Z table we will find that that value is 2.576.

Now we need to stablish the equation that will telll us for what values of X¯ will we reject H0.

Reject if:

Z ≤ -2.576                                                          Z ≥ 2.576

We know the equation for the Z-statistic, so we can substitute like follows and resolve.

Reject if:

(X¯ - 1.2) / (5/√42) ≤ -2.576                          (X¯ - 1.2) / (5/√42) ≥ 2.576

X¯ ≤ -0.79                                                         X¯ ≥ 3.19

We have the information that the true population mean is 1.25, so we now for a fact that H0 is false, so with this we can calculate the probability of a Type II error:  P(Do not reject H0 | μ=1.25)

As we can see in part B of the attached image, we can stablish that the type II error will represent the probability of the sample mean (X¯) falling between -0.79 and 3.19 when μ=1.25, and that represents the shaded area. So now we now that we are looking for P(-0.79 < X¯ < 3.19 | μ=1.25).

Because we know the equation of Z, we are going to standardize this as follows:

P ( (-0.79 - 1.25) / (5/√42) < Z <  (3.19 - 1.25) / (5/√42) )

This equals to:

P(-2.64 < Z < 2.51)

If we go and look for the area under the curve for Z positive scores in a normal standart table (part C of attached image), we will find that that area is 0.9940, which represents the probability of a Type II error.

Therefore, the power of the test will be 1-0.9940 = 0.006

If we look at the options of answers we have, there is no option that looks like this results, which means there was a probable redaction error, so we are going to stay with the closest option to these values which is option D.

3 0
3 years ago
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Svetllana [295]

Answer:

y=−4+2√5(−x−7)

y=−4−2√5(−x−7)

4 0
2 years ago
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