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KonstantinChe [14]
3 years ago
7

For which values of x is the function

Mathematics
1 answer:
max2010maxim [7]3 years ago
4 0

Answer:

x = - 5, x = - 11

Step-by-step explanation:

Given

y = \frac{x+4}{(x+5)(x+11)}

The denominator cannot be zero as this would make y undefined.

Equating the denominator to zero and solving gives the values that x cannot be, that is

(x + 5)(x + 11) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x + 11 = 0 ⇒ x = - 11

Thus

x = - 11 and x = - 5 are excluded values.

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Iq scores are normally distributed with a mean of 100 and a standard deviation of 15.
bearhunter [10]

Mean is \mu=100 and a standard deviation is \sigma =15, then the variable X\sim N(100,15^2).

Use substitution

Z=\dfrac{X-\mu}{\sigma},\\  \\ Z=\dfrac{X-100}{15}.

This substitution gives you that Z\sim N(0,1).

a. For X=130, Z=\dfrac{130-100}{15}=2 and Pr(X>130)=Pr(Z>2) =0.9772 (the decimal value is taken from the Standard Normal Distribution Table).

b. For X=90, Z=\dfrac{90-100}{15}=-\dfrac{2}{3} and for X=110, Z=\dfrac{110-100}{15}=\dfrac{2}{3}. Then Pr(90 (the decimal value is taken from the Standard Normal Distribution Table).

6 0
2 years ago
What is the measure ?
Ivenika [448]
Check the picture below.

4 0
3 years ago
Find the point in the first octant where the tangent plane to x2+116y2+14z2=1 is parallel to the plane x+y+z=10
Stella [2.4K]
2x+3=yx bc it makes the most sence
7 0
3 years ago
What is the interval notation for x+1>34?
vodka [1.7K]

Explanation:

<u><em>First you subtract by -1 both sides of an equation.</em></u>

<u><em>x+1-1=34-1</em></u>

<u><em>Then, simplify the number.</em></u>

<u><em>34-1=33</em></u>

<u><em>x>33</em></u>

<u><em>Or interval notation 33,∞ </em></u>

<u><em>Final answer: → x>33 and 33,∞</em></u>

<u><em>Hope this helps!</em></u>

<u><em>Thanks!</em></u>

8 0
2 years ago
The table shows the battery life of four different mobile phones:
tekilochka [14]
Answer: Phone C

Using quick mental math, we can do 8% of 10 to get 0.8, which is close to the value of 0.0845*10. Also fairly quick is moving the decimal point over 1 spot to the right and we go from 0.0845 to 0.845 and that rounds to 0.8 when rounding to one decimal place. Recall that 8.45% = (8.45/100) = 0.0845

If you want to compute out the four results with a calculator, then it would look like this:
0.0845*20 = 1.69
0.0845*25 = 2.1125
0.0845*10 = 0.845
0.0845*18 = 1.521
and this shows that no other result (but choice C) is close to 0.8

So that's why the answer is choice C
5 0
2 years ago
Read 2 more answers
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