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astra-53 [7]
3 years ago
12

Look at the map. explain why elm street and birch street are not perpendicular

Mathematics
2 answers:
krok68 [10]3 years ago
8 0

The slope of Birch Street is 0. To be perpendicular to Elm, Birch would have to have a slope of -4/7.

Answer 2018 good luck shout out to the future kids doing this Phx,Az


musickatia [10]3 years ago
7 0
I cannot see the choices, so, I will explain this using two different concepts and you can apply the explanation on the given choices

1- Explanation using angle formed:
Imagine that Elm street and Birch street are two lines.
Now, for to lines to be perpendicular, these two lines must intersect forming a 90 degree angle.

Now, noticing the intersection between the two streets, we will find that the angle, formed is not 90 degrees

2- Explanation using slopes:
For two lines to be perpendicular, the slopes of the two lines must be negative reciprocals of each other.
This means that, if the slope of one line is m, then the slope of the other must be -1/m for the two lines to be perpendicular.

Now, Birch street is a horizontal line, this means that its slope is zero.
For Elm street to be perpendicular on it, the slope of Elm street must be equal to -1/0. This means that the slope of Elm street has to be undefined which means that Elm street must be a perfectly vertical line.

However, from the graph, we can note that Elm street is an inclined line which means that its slope is not undefined.
This means that the two streets are not perpendicular to each other.

Hope this helps :)
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Step-by-step explanation:

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PLEASE ANSWER i WILL PUT MOST BRAINLIEST!
galina1969 [7]

Answer:

The correct option is;

c. Because the p-value of 0.1609 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.

Step-by-step explanation:

Here we have the values

μ = 275 mL

275.4

276.8

273.9

275

275.8

275.9

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Sum = 1928.9

Mean (Average), = 275.5571429

Standard deviation, s = 0.921696159

We put the null hypothesis as H₀: μ₁ = μ₂

Therefore, the alternative becomes Hₐ: μ₁ ≠ μ₂

The t-test formula is as follows;

t=\frac{\bar{x}-\mu }{\frac{s}{\sqrt{n}}}

Plugging in the values, we have,

Test statistic = 1.599292

t_{\alpha /2} at 7 - 1 degrees of freedom and α = 0.05 = ±2.446912

Our p-value from the the test statistic = 0.1608723≈ 0.1609

Therefore since the p-value = 0.1609 > α = 0.05, we fail to reject our null hypothesis, hence the evidence suggests that the mean does not differ from 275 mL.

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