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ipn [44]
2 years ago
7

Write the standard form of the equation of the line through (4, 4) and parallel to y = -6x + 5.

Mathematics
1 answer:
valina [46]2 years ago
5 0

Answer:

y

=

−

6

x

+

5

.

y

=

−

6

x

+

28

Step-by-step explanation:

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In a random sample of students who took the SAT test, 427 had paid for coaching courses and the remaining 2733 had not. Calculat
Dvinal [7]

Answer:

The 95% confidence interval for the proportion of students who get coaching on the SAT is (0.1232, 0.147).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

427 had paid for coaching courses and the remaining 2733 had not.

This means that n = 427 + 2733 = 3160, \pi = \frac{427}{3160} = 0.1351

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1351 - 1.96\sqrt{\frac{0.1351*0.8649}{3160}} = 0.1232

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1351 + 1.96\sqrt{\frac{0.1351*0.8649}{3160}} = 0.147

The 95% confidence interval for the proportion of students who get coaching on the SAT is (0.1232, 0.147).

8 0
3 years ago
Spinner has 7 pieces, 1 black, 2 gray, 4 white, what is the probability that I would land on a gray piece?
Firlakuza [10]

Answer:

2/7

Step-by-step explanation:

there are 2 gray prices out of 7

6 0
2 years ago
Classify the triangle by its angles and by its sides
mojhsa [17]

Answer:

Acute isoceles

Step-by-step explanation:

Two base angles of the triangle are equal making it isosceles

The top angle is less than 90° making it an acute angle

4 0
3 years ago
Find the measure of an angle that is four hundred eighty-five less than four times its supplement.
Ludmilka [50]
Is 121.25 because 485 divided by 4 is 121.25
4 0
3 years ago
Which statement accurately describes how adding a number, n, to the function f(x)=sin(x) affects its graph?
Hitman42 [59]

The <em>correct answer</em> is:


A) There is a vertical shift of n units.


Explanation:


When a parent function is transformed, each type of transformation results ina different change in the graph.


The parent function in this question is f(x) = sin(x).


Adding n units to the end of this function would result in f(x) = sin(x) + n.


When a function is transformed by adding a constant to the end of a function results in a vertical shift by that number of units. In this case, it would be a vertical shift n units.

7 0
3 years ago
Read 2 more answers
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