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Vanyuwa [196]
2 years ago
9

In a board game, a certain number of points is awarded to a player upon rolling a six sided die (labeled 1 to 6) according to th

e function f(x)=6x-4,f(x)=6x−4, where xx is the value rolled on the die. Find and interpret the given function values and determine an appropriate domain for the function.

Mathematics
1 answer:
ad-work [718]2 years ago
7 0

Answer and explanation:

Find answer and explanation attached

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y = A system of equations. y equals StartFraction one-half EndFraction x minus 6. x equals negative 4.x – 6 x = –4 What is the s
tatiyna

Answer: (-4,-8)

Step-by-step explanation: I got a 100% on the quiz

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2 years ago
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A water well is being drilled in the desert where soil is either rock, clay, or sand. Probability of rock P(R) = 0.42, probabili
andrezito [222]

We are asked to solve for:

P (sand | positive)

So, we solve this by:

P (sand | positive) = P (sand)  x P (positive for sand)

P (sand | positive) = 0.26 (0.75)

P (sand | positive) = 0.195

The probability is 0.195 or 19.5%.

6 0
2 years ago
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If cosine theta almost-equals 0.3090, which of the following represents approximate values of sine theta and tangent theta, for
Zepler [3.9K]

Answer:

\sin \theta = 0.9511 and \tan \theta = 3.078

Step-by-step explanation:

Given that, \cos \theta = 0.309.

Now, we have to calculate the values of \sin \theta and \tan \theta.

We know the identity that, \sin^{2}\theta + \cos^{2}\theta  = 1

So, \sin \theta = \sqrt{1 + \cos^{2}\theta} = \sqrt{1 - (0.309)^{2}} = 0.9511 {Since 0 \leq  \theta \leq  90^{\circ}}

Now, \sec \theta = \frac{1}{\cos\theta} = \frac{1}{0.309} = 3.236

Then, we know the identity, \sec^{2}\theta - \tan^{2}\theta  = 1

So, \tan \theta = \sqrt{\sec^{2}\theta - 1} = \sqrt{(3.236)^{2} - 1} = 3.078 (Answer) {Since 0 \leq  \theta \leq  90^{\circ}}

6 0
2 years ago
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Using a tape measure Becky Jo found that the circumference of the great redwood was 900cm. She estimated that its diameter was 3
masha68 [24]
The length of the circle - <span>the product of the diameter and the number Pi
l = d</span>π
l = 900cm
π ≈ 3,1415 przyjmiemy wartość 3
900cm = d* 3   [:3
d = 300cm  
<span>Becky rounded value of Pi , hence the difference in result
</span>
<span>More accurate calculation
</span>
l = d*π
900cm = d*3,1415
d = 900cm : 3,1415 = 286,49cm

<span>Becky overestimated the outcome</span>



8 0
2 years ago
There were 230{,}600230,600230, comma, 600 jobs available in the field of radiology in the year 201420142014. Each year, that nu
dexar [7]

Answer:

j(t)=230600(1.009)^t

Step-by-step explanation:

Increasing at a rate of 0.9\%0.9%0, point, 9, percent means the expected number of jobs keeps its 100\%100%100, percent and adds 0.9\%0.9%0, point, 9, percent more, for a total of 100.9\%100.9%100, point, 9, percent.

So each year, the expected number of jobs is multiplied by 100.9\%100.9%100, point, 9, percent, which is the same as a factor of 1.0091.0091, point, 009.

If we start with the initial number of jobs, 230{,}600230,600230, comma, 600 jobs, and keep multiplying by 1.0091.0091, point, 009, this function gives us expected number of jobs in radiology ttt years from 201420142014:

j(t)=230600(1.009)^t

6 0
2 years ago
Read 2 more answers
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