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3 years ago

PLS help ASAP this really urgent

Mathematics

2 answers:

igor_vitrenko [27]3 years ago

8 0

Skewed right. I just had this question.

MrMuchimi3 years ago

7 0

Answer:

Skewed right.

Step-by-step explanation:

The graph is not symmetric because it's not an exact mirror of each side if you drew a line in the center. If the graph has highpoints on the left side and is leaning down to the right, it's skewed right. Same thing vice versa.

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Evaluate the given algebraic expression for x= 8.<br> 6 + 8x

statuscvo [17]

Answer:

Step-by-step explanation:

8(8) + 6 = 64 + 6 = 70

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3 years ago

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The temperature of a body rises from -10 degrees Celsius to 18 degrees Celsius by how many degrees does the temperature rises?

sukhopar [10]

Answer:

28 degrees

Step-by-step explanation:

3 0

3 years ago

Suppose that time spent on hold per call with customer service at a large telecom company is normally distributed with a mean µ

lana66690 [7]

Answer:

0.3108 is the probability that the sample mean is between 7.8 and 8.2 minutes.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8 minutes

Standard Deviation, σ = 2.5 minutes

Sample size, n = 25

We are given that the distribution of time spent is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{2.5}{\sqrt{25}} = 0.5$

P(sample mean is between 7.8 and 8.2 minutes)

$P(7.8 \leq x \leq 8.2)\\\\ = P(\displaystyle\frac{7.8 - 8}{0.5} \leq z \leq \displaystyle\frac{8.2-8}{0.5})\\\\ = P(-0.4 \leq z \leq 0.4})\\\\= P(z < 0.4) - P(z < -0.4)\\\\= 0.6554 -0.3446= 0.3108$

0.3108 is the probability that the sample mean is between 7.8 and 8.2 minutes.

4 0

4 years ago

Find the components of the vertical force Bold Upper FFequals=left angle 0 comma negative 4 right angle0,−4 in the directions pa

Nikolay [14]

Answer:

$F_p = < - \sqrt{3} , -3 >\\\\F_o = < \sqrt{3} , -1 >$

Step-by-step explanation:

- A plane is oriented in a Cartesian coordinate system such that it makes an angle of ( π / 3 ) with the positive x - axis.

- A force ( F ) is directed along the y-axis as a vector < 0 , - 4 >

- We are to determine the the components of force ( F ) parallel and normal to the defined plane.

- We will denote two unit vectors: ( $u_p$ ) parallel to plane and ( $u_o$ ) orthogonal to the defined plane. We will define the two unit vectors in ( x - y ) plane as follows:

- The unit vector ( $u_p$ ) parallel to the defined plane makes an angle of ( 30° ) with the positive y-axis and an angle of ( π / 3 = 60° ) with the x-axis. We will find the projection of the vector onto the x and y axes as follows:

$u_o$ = < cos ( 60° ) , cos ( 30° ) >

$u_o = < \frac{1}{2} , \frac{\sqrt{3} }{2} >$

- Similarly, the unit vector ( $u_o$ ) orthogonal to plane makes an angle of ( π / 3 ) with the positive x - axis and angle of ( π / 6 ) with the y-axis in negative direction. We will find the projection of the vector onto the x and y axes as follows:

$u_p = < cos ( \frac{\pi }{6} ) , - cos ( \frac{\pi }{3} ) >\\\\u_p = < \frac{\sqrt{3} }{2} , -\frac{1}{2} >\\$

- To find the projection of force ( F ) along and normal to the plane we will apply the dot product formulation:

- The Force vector parallel to the plane ( $F_p$ ) would be:

$F_p = u_p(F . u_p)\\\\F_p = < \frac{1}{2} , \frac{\sqrt{3} }{2} > [ < 0 , - 4 > . < \frac{1}{2} , \frac{\sqrt{3} }{2} > ]\\\\F_p = < \frac{1}{2} , \frac{\sqrt{3} }{2} > [ -2\sqrt{3} ]\\\\F_p = < -\sqrt{3} , -3 >\\$

- Similarly, to find the projection of force ( $F_o$ ) normal to the plane we again employ the dot product formulation with normal unit vector ( $u_o$ ) as follows:

$F_o = u_o ( F . u_o )\\\\F_o = < \frac{\sqrt{3} }{2} , - \frac{1}{2} > [ < 0 , - 4 > . < \frac{\sqrt{3} }{2} , - \frac{1}{2} > ] \\\\F_o = < \frac{\sqrt{3} }{2} , - \frac{1}{2} > [ 2 ] \\\\F_o = < \sqrt{3} , - 1 >$

- To prove that the projected forces ( $F_o$ ) and ( $F_p$ ) are correct we will apply the vector summation of the two orthogonal vector which must equal to the original vector < 0 , - 4 >

$F = F_o + F_p\\\\< 0 , - 4 > = < \sqrt{3}, -1 > + < -\sqrt{3}, -3 > \\\\< 0 , - 4 > = < \sqrt{3} - \sqrt{3} , -1 - 3 > \\\\< 0 , - 4 > = < 0 , - 4 >$ .. proven

8 0

4 years ago

The perimeter of a rectangular garden is 78 feet. the width is six feet less than twice the length. Find the length and width of

Phoenix [80]

Answer:

L=7.94 feet, W=9.88 feet

Step-by-step explanation:

perimeter=78 feet

LxW=78

2L-6=W

substitute

Lx(2L-6)=78

2L^2-6L=78

2L^2-6L-78=0

factor

(2L-15.86)(L+4.95)=0

2L=15.88, L=7.94

L=-7.94 feet

5 0

3 years ago