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sweet-ann [11.9K]

3 years ago

10

Which of the following expressions is equivalent to the logarithmic expression below? HELP PLEASE HELP ME PLEASE PLEASE HELP PLE

ASE PLEASE ASAP PLEASE HELP PLEASE PLEASE HELP HELP PLEASE PLEASE

1 answer:

IrinaK [193]3 years ago

4 0

Using log rules:
when you divide and then sperate you subtract.
So
Log3(5/x^2) would be A
Log3(5)-Log3(x^2)

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The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 73 minutes and a standard devi

Vesnalui [34]

Answer:

(a) $X\sim N(\mu = 73, \sigma = 16)$

(b) 0.7910

(c) 0.0401

(d) 0.6464

Step-by-step explanation:

Let <em>X</em> = amount of time that people spend at Grover Hot Springs.

The random variable <em>X</em> is normally distributed with a mean of 73 minutes and a standard deviation of 16 minutes.

(a)

The distribution of the random variable <em>X</em> is:

$X\sim N(\mu = 73, \sigma = 16)$

(b)

Compute the probability that a randomly selected person at the hot springs stays longer than 60 minutes as follows:

$P(X>60)=P(\frac{X-\mu}{\sigma}>\frac{60-73}{16})\\=P(Z>-0.8125)\\=P(Z$

*Use a <em>z</em>-table for the probability.

Thus, the probability that a randomly selected person at the hot springs stays longer than an hour is 0.7910.

(c)

Compute the probability that a randomly selected person at the hot springs stays less than 45 minutes as follows:

$P(X$

*Use a <em>z</em>-table for the probability.

Thus, the probability that a randomly selected person at the hot springs stays less than 45 minutes is 0.0401.

(d)

Compute the probability that a randomly person spends between 60 and 90 minutes at the hot springs as follows:

$P(60$

*Use a <em>z</em>-table for the probability.

Thus, the probability that a randomly person spends between 60 and 90 minutes at the hot springs is 0.6464

6 0

3 years ago

Which statement is true?

alexgriva [62]

The Correct answer is C. -14 + (-10) = -24 and 2 + (-28) = -26. When negative numbers are in play, the lower negative number is higher in value. So when solved -24 > -26

7 0

3 years ago

Given that x2 - y2 = 135 and x - y = 15 , find the value of (x+y)2

kirill [66]

Answer:

x² - y² = 135

<=> (x - y)(x + y) = 135

<=> 15(x + y) = 135

=> x + y = 135/15 = 9

=> (x + y)² = 81

6 0

2 years ago

Write a numerical expression for Divide 144 by 12

ehidna [41]

144/12

Hopefully, this helps!

4 0

3 years ago

(-5,-7) and (3,1)<br><br> write equation in point slope form, intercept form, and standard form

mash [69]

Answer:

Please check the explanation

Step-by-step explanation:

Given the points

(-5,-7)

(3,1)

Determining the slope between the points:

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-5,\:-7\right),\:\left(x_2,\:y_2\right)=\left(3,\:1\right)$

$m=\frac{1-\left(-7\right)}{3-\left(-5\right)}$

$m=1$

Writing the equation in point-slope form

As the point-slope form of the line equation is defined by

$y-y_1=m\left(x-x_1\right)$

Putting the point $(-5,-7)$ and the slope $m = 1$ in the line equation

$y-y_1=m\left(x-x_1\right)$

$y-\left(-7\right)=1\left(x-\left(-5\right)\right)\\$

Hence, the equation in the point-slope form will be:

$y-\left(-7\right)=1\left(x-\left(-5\right)\right)$

Writing the equation in slope-intercept form

As the point-slope of the equation is

$y=mx+b$

where m is the slope and b is the y-intercept

Putting m = 1 and (3, 1) to determine the y-intercept

$y = mx+b$

$1 = 1 (3) + b$

$1 = 3 + b$

$b = -2$

so putting $b=-2$ and m = 1 in the slope-intercept form

$y = mx+b$

$y = (1)x + (-2)$

Therefore, the equation in slope-intercept form is:

$y = x -2$

Writing the equation in the standard form form

As we know that the equation in the standard form is

$Ax+By=C$

where x and y are variables and A, B and C are constants

As we already know the equation in slope-intercept form

$y = (1)x + (-2)$

so just simplify the equation to write in standard form

$y = (1)x + (-2)$

$y = x - 2$

$y - x = -2$

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2 years ago