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4 years ago

12

Dr. McCormick is a college professor. He recieves his paychecks monthly and grosses $4750 per paycheck. Find his annual salary.

1 answer:

daser333 [38]4 years ago

3 0

12x4750= 57,000

His annual salary is 57,000

Hope you have a great day!

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X^2 + 5x - 5 = 0
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a = 1, b = 5, c = -5
x = (-5 +- sqrt(25+20))/2
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A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v>=2i-4tj^

guapka [62]

Given :

A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v=2i-4tj .

To Find :

A. The vector position of the particle at any time t .

B. The acceleration of the particle at any time t .

Solution :

A )

Position of vector v is given by :

$d=\int\limits {v} \, dt\\\\d=\int\limits {(2i-4tj)} \, dt \\\\d=(2t)i+\dfrac{4t^2}{2}j\\\\d=(2t)i+(2t^2)j$

B )

Acceleration a is given by :

$a=\dfrac{dv}{dt}\\\\a=\dfrac{2i-4tj}{dt}\\\\a=\dfrac{2i}{dt}-\dfrac{4tj}{dt}\\\\a=0-4j\\\\a=-4j$

Hence , this is the required solution .

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3 years ago

Which expression is NOT equivalent to 100+20100+20?

jok3333 [9.3K]

Answer:

A) . 5(20+4)5(20+4)

Step-by-step explanation:

5(20+4)5(20+4)

5(24) ×5(24)

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4 years ago

Based on historical data, your manager believes that 39% of the company's orders come from first-time customers. A random sample

Irina-Kira [14]

Answer:

$z= \frac{0.21- 0.39}{0.0373}= -4.829$

$z= \frac{0.32- 0.39}{0.0373}=-1.877$

And we can find the probability with this difference:

$P(-4.829$

Step-by-step explanation:

For this case we have the following info given:

$n = 171$ represent the sample size

$p =0.39$ the proportion of interest

We want to find the following probability:

$P( 0.21 < \hat p < 0.32)$

We can use the normal approximation for this case since np >10 and n (1-p) >10

For this case we know that the distribution for the sample proportion is given by:

$\hat p \sim N( p , \sqrt{\frac{p (1-p)}{n}} )$

And we can use the following parameters:

$\mu_{\hat p}= 0.39$

$\sigma_{\hat p} =\sqrt{\frac{0.39*(1-0.39)}{171}}= 0.0373$

And we can apply the z score formula given by:

$z = \frac{p \\mu_{\hat p}}{\sigma_{\hat p}}$

And using this formula we got:

$z= \frac{0.21- 0.39}{0.0373}= -4.829$

$z= \frac{0.32- 0.39}{0.0373}=-1.877$

And we can find the probability with this difference:

$P(-4.829$

6 0

3 years ago