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velikii [3]
3 years ago
5

Write an equation of the line that passes through (4,2) and is perpendicular to the line y=−13x+1.

Mathematics
1 answer:
7nadin3 [17]3 years ago
4 0

Answer:

y=x-2

Step-by-step explanation:

This slope goes through the point and is perpendicular to y=-13x+1

Hope this helped

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A guitar string vibrates back and forth 88 times in 1 minute. Round your answers to the following questions to the nearest tenth
ICE Princess25 [194]
<h2>Answer:</h2><h2>The frequency of the guitar string vibrates back and forth 88 times in 1 minute = 1.5 Hz</h2>

Step-by-step explanation:

A hertz is used to measure one cycle (complete wave) of a vibration.

The number of cycles per second is the frequency, measured in hertz.

A guitar string vibrates back and forth 88 times in 1 minute

The vibrations in 1 second = \frac{88}{60} = 1.466 Hz ≈1.5 Hz

The frequency of the guitar string vibrates back and forth 88 times in 1 minute = 1.5 Hz

6 0
3 years ago
In the United States, 36 percent of the people have a blood type that is A positive. From a random sample of 150 people from Nor
djverab [1.8K]

Answer:

The standard deviation used in the test statistic is 0.04.

Step-by-step explanation:

A single proportion <em>z</em>-test can be used to determine whether the proportion of people in Norway with a blood type of A positive is different from that in the United States.

The proportion of people in Norway with a blood type of A positive is 36% or 0.36.

The hypothesis can be defined as:

<em>H₀</em>: The proportion of people in Norway with a blood type of A positive is 36%, i.e. <em>p</em> = 0.36.

<em>Hₐ</em>: The proportion of people in Norway with a blood type of A positive is different from 36%, i.e. <em>p</em> ≠ 0.36.

The test statistic is:

z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}

The information provided is:

<em>p</em> = 0.36

<em>n</em>  = 150

Compute the standard deviation used in the test statistic as follows:

\sigma=\sqrt{\frac{p(1-p)}{n}}

   =\sqrt{\frac{0.36\times (1-0.36)}{150}}

   =\sqrt{0.001536}\\=0.03919184\\\approx 0.04

Thus, the standard deviation used in the test statistic is 0.04.

5 0
3 years ago
FIND THE DOMAIN AND RANGE THERES A PIC ​
Pie

Answer:

Domain: (-5, 1)

Range: (-1, 5)

General Formulas and Concepts:

<u>Algebra I</u>

  • Domain is the set of x-values that can be inputted into function f(x)
  • Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

According to the graph, the line's x-values span from -5 to 1. Since both are open dot, they are exclusive from the domain:

Interval Notation: (-5, 1)

Inequality Notation: -5 < x < 1

According to the graph, the line's y-values span from -1 to 5. Since both are open dot, they are exclusive from the range:

Interval Notation: (-1, 5)

Inequality Notation: -1 < y < 5

8 0
3 years ago
Read 2 more answers
Please help I don’t understand please!!!
Vaselesa [24]

Answer:

y>5.5

Step-by-step explanation:

4y+3>2y+14

Subtract 2y from both sides.

2y+3>14

Subtract 3 from both sides.

2y>11

Divide 2 by both sides.

y>5.5

-hope it helps

7 0
3 years ago
Read 2 more answers
PLSS help with give Brainliest!!
DedPeter [7]
D.

The graph is widening by a factor of 2, or growing half as fast. Check by plugging in 2 or 4.
3 0
3 years ago
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