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sertanlavr [38]
3 years ago
9

If I was doing -3n - 24​

Mathematics
1 answer:
Fynjy0 [20]3 years ago
3 0
It will be. -3(n+8) because you have to go from greatest to least and then 2 negatives will equal a positive
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Write an equation for the line<br><br> With a slope of -3 and a y-intercept of 1 ________
pashok25 [27]

y=-3x+1 is the equation

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2 years ago
A recent survey concluded that the proportion of american teenagers who have a cell phone is 0.27. the true population proportio
Jet001 [13]

Answer:

The mean for the sampling distribution of the sample proportion is 0.29

The standard deviation for the sampling distribution of the sample proportion is 0.01435

Step-by-step explanation:

The mean for the sampling distribution of the sample proportion is always equal to the true population proportion, in this case; p = 0.29

The standard deviation for the sampling distribution of the sample proportion is calculated as;

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

Using the given values;

p = 0.29

1 - p = 0.71

n = 1000

The standard deviation becomes;

\sqrt{\frac{(0.29)(1-0.29)}{1000} } \\

The s.d becomes 0.01435

4 0
3 years ago
Find the angle between u =the square root of 5i-8j and v =the square root of 5i+j.
fenix001 [56]

Answer:

The angle between vector \vec{u} = 5\, \vec{i} - 8\, \vec{j} and \vec{v} = 5\, \vec{i} + \, \vec{j} is approximately 1.21 radians, which is equivalent to approximately 69.3^\circ.

Step-by-step explanation:

The angle between two vectors can be found from the ratio between:

  • their dot products, and
  • the product of their lengths.

To be precise, if \theta denotes the angle between \vec{u} and \vec{v} (assume that 0^\circ \le \theta < 180^\circ or equivalently 0 \le \theta < \pi,) then:

\displaystyle \cos(\theta) = \frac{\vec{u} \cdot \vec{v}}{\| u \| \cdot \| v \|}.

<h3>Dot product of the two vectors</h3>

The first component of \vec{u} is 5 and the first component of \vec{v} is also

The second component of \vec{u} is (-8) while the second component of \vec{v} is 1. The product of these two second components is (-8) \times 1= (-8).

The dot product of \vec{u} and \vec{v} will thus be:

\begin{aligned} \vec{u} \cdot \vec{v} = 5 \times 5 + (-8) \times1 = 17 \end{aligned}.

<h3>Lengths of the two vectors</h3>

Apply the Pythagorean Theorem to both \vec{u} and \vec{v}:

  • \| u \| = \sqrt{5^2 + (-8)^2} = \sqrt{89}.
  • \| v \| = \sqrt{5^2 + 1^2} = \sqrt{26}.

<h3>Angle between the two vectors</h3>

Let \theta represent the angle between \vec{u} and \vec{v}. Apply the formula\displaystyle \cos(\theta) = \frac{\vec{u} \cdot \vec{v}}{\| u \| \cdot \| v \|} to find the cosine of this angle:

\begin{aligned} \cos(\theta)&= \frac{\vec{u} \cdot \vec{v}}{\| u \| \cdot \| v \|} = \frac{17}{\sqrt{89}\cdot \sqrt{26}}\end{aligned}.

Since \theta is the angle between two vectors, its value should be between 0\; \rm radians and \pi \; \rm radians (0^\circ and 180^\circ.) That is: 0 \le \theta < \pi and 0^\circ \le \theta < 180^\circ. Apply the arccosine function (the inverse of the cosine function) to find the value of \theta:

\displaystyle \cos^{-1}\left(\frac{17}{\sqrt{89}\cdot \sqrt{26}}\right) \approx 1.21 \;\rm radians \approx 69.3^\circ .

3 0
2 years ago
Find the slope of the line that passes through (65, 100) and (75, 97).
netineya [11]

Answer:

ayee lez gooo!! tysm :)

4 0
2 years ago
Find the area of the rug. DO NOT ROUND.<br><br> what is the area?
Mademuasel [1]

Answer:

\frac{198}{7} \ \text{feet}^{2}

<h3>Step-by-step explanation:</h3>

<u>Given:</u>

  • Diameter of rug = 6 feet

To find the area of the rug, we need to use the formula "πr² or π(D/2)²"

<u>Where:</u>

  • r = radius
  • d = diameter

Since we do not have the radius, we need to substitute the diameter in the formula "π(D/2)²" to determine the area of the rug.

⇒ \pi (\frac{D}{2} )^{2}

⇒ \pi (\frac{6}{2} )^{2}

⇒ \pi (3 )^{2}

⇒ \pi (3 )(3)

⇒ 9\pi

Substituting "22/7" as π:

⇒ 9(\frac{22}{7} )

⇒ (\frac{198}{7} )

When finding the area of ANY shape, do not forget to include the units.

⇒ \frac{198}{7} \ \text{feet}^{2}

4 0
2 years ago
Read 2 more answers
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