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NISA [10]
3 years ago
15

Find the domain and range of y= -|x|-1

Mathematics
2 answers:
Debora [2.8K]3 years ago
7 0
R: (-inf, 0]
D: all real #'s
Mnenie [13.5K]3 years ago
4 0
The Domain is all real numbers, and since the graph is translated 1 down and flipped across the x-axis, the Range is all real numbers less than or equal to -1.
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LabTech is a company that manufactures microscopes and other laboratory instruments . On occasion, one of the microscopes is def
Scrat [10]

Answer:

0.0782 (7.82%)

Step-by-step explanation:

The required probability will be found by using the Binomial Distribution which fits the case of n independent events each with a probability of success equal to p with k successes.

The PMF (Probability Mass Function) is

f(k,n,p)=\binom{n}{k}p^kq^{n-k}

Where q = 1-p

LabTech states that the probability that a microscope is defective is 0.17%, p=0.0017, q=0.9983. We need to know the probability that k=1 microscope is defective out of a set of n=50 of them. We now apply the formula

f(1,50,0.0017)=\binom{50}{1}0.0017^10.9983^{49}=0,0782

Which means that there is a 7.82% of probability to get 1 defective microscope out of the first 50

5 0
3 years ago
If cos θ = .62 and if 0<θ<90 what is the approximate value of sin θ to the nearest hundredth
Deffense [45]
\cos\Theta=0.62\\\\\text{Use:}\ \sin^2\alpha+\cos^2\alpha=1\\\\\sin^2\Theta+(0.62)^2=1\\\\\sin^2\Theta+0.3844=1\ \ \ |-0.3844\\\\\sin^2\Theta=0.6156\to\sin\Theta=\pm\sqrt{0.6156}\\\\\sin\Theta_1\approx-0.78\ \vee\ \sin\Theta\approx0.78\\\\\Theta\in(0^o;\ 90^o),\ therefore\ \sin\Theta \ \textgreater \  0\to\boxed{\sin\Theta\approx0.78}
5 0
3 years ago
I need help on this aswell
Katena32 [7]

Answer:

Graph C

Step-by-step explanation:

Hi there!

The given linear equations are organized in slope-intercept form: y=mx+b where <em>m</em> is the slope of the line and <em>b</em> is the y-intercept, or the value of y when the line crosses the y-axis.

y = 2x + 4

Here, the <em>b</em> value is 4. Therefore, the y-intercept of this line is 4.

y = -3x - 2

Here, the <em>b</em> value is -2. Therefore, the y-intercept of this line is -2.

To identify the graph that models these equations, we just have to look for the graph where the lines cross the y-axis at 4 and -2.

The only graph that does this is graph C.

I hope this helps!

8 0
2 years ago
Help on logarithmic equation
inessss [21]
\log _{ 2 }{ \left( 3-x \right)  } +\log _{ 2 }{ 5 } =2\log _{ 3 }{ 5 } \\ \\ \log _{ 2 }{ \left( 5\left( 3-x \right)  \right)  } =\log _{ 3 }{ \left( { 5 }^{ 2 } \right)  } \\ \\ { 2 }^{ \log _{ 3 }{ 25 }  }=5\left( 3-x \right) \\ \\ { 2 }^{ \log _{ 3 }{ 25 }  }=15-5x\\ \\ 5x=15-{ 2 }^{ \log _{ 3 }{ 25 }  }\\ \\ x=\frac { 15 }{ 5 } -\frac { { 2 }^{ \log _{ 3 }{ 25 }  } }{ 5 } \\ \\ x=3-\frac { { 2 }^{ \log _{ 3 }{ 25 }  } }{ 5 }
8 0
3 years ago
(05.02 LC)
Arte-miy333 [17]

<em>Your Answer: </em>A.) (2 , 5) <u>I also provided the steps.</u>

Hope this helps y'all :)


7 0
3 years ago
Read 2 more answers
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