Dawn draws 1 card, replaces it, and draws another card. Is it more likely that she draws 2 red cards or 2 face cards?

The population mean annual salary for environmental compliance specialists is about $63 comma 500. A random sample of 31 specia

Nat2105 [25]

Answer:

0.0035289

Step-by-step explanation:

From the question;

mean annual salary = $63,500

n = sample size = 31

Standard deviation = $6,200

Firstly, we calculate the z-score of $60,500

Mathematically;

z-score = x-mean/SD/√n = (60500-63500)/6200/√(31) = -2.6941

So we want to find the probability that P(z < -2.6941)

We can get this from the standard normal table

P( z < -2.6941) = 0.0035289

3 0

2 years ago

According to this diagram, what is tan 67° ?

Zanzabum

Answer:

B. 12/5

Step-by-step explanation:

tan=opp. leg/adj. leg

tan 67= 12/5

6 0

2 years ago

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What makes 83 cents ?

Sliva [168]

83 Cents = 2 Quarters, 1 Nickel, 4 Pennies.

Glad I Could Help, And Good Luck!

~AnonymousGiantsFan~

6 0

3 years ago

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The graph of which function passes through the point ( 0,pi/2 )

inn [45]

<h2><u>Answer:</u></h2>

y = cos ^- 1 (x)

Step-by-step explanation:

The Function y = cos -1x = arccos x and its Graph: Since y = cos -1x is the inverse of the function y = cos x, the function y = cos -1x if and only if cos y = x. This leaves the range of the restricted function unchanged as [-1, 1].

6 0

3 years ago

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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th

miss Akunina [59]

Answer:

$y> \frac{2}{3}x+3$

Step-by-step explanation:

we have the points

(-3,1) and (0,3)

step 1

Find the slope m of the line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{3-1}{0+3}$

$m=\frac{2}{3}$

step 2

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{2}{3}$

$b=3$ ----> the y-intercept is the point (0,3)

substitute the values

$y=\frac{2}{3}x+3$

step 3

Find the equation of the inequality

we know that

The slope is positive

Everything to the left of the line is shaded ( The inequality is of the form y > ax+b or y ≥ ax+b)

Is a dashed line (The inequality is of the form y > ax+ b or y < ax+b)

therefore

The equation of the inequality is of the form y > ax+b

The inequality is

$y> \frac{2}{3}x+3$

see the attached figure to better understand the problem

4 0

3 years ago

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