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balandron [24]
3 years ago
13

Which of the following statements is true?

Mathematics
1 answer:
Inessa05 [86]3 years ago
7 0

Answer: the number -5 is a real number

Real numbers are both negative and positive numbers. -5 is a negative number. Since real numbers include negative numbers, -5 is the answer.

Hope this helps!

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Solve for x<br> -18 = 9 - 3x
iVinArrow [24]

Answer:

3x=9+18

=27

x =27÷3

x=9

the answer of x is 9

6 0
2 years ago
Read 2 more answers
Instruction
natulia [17]

Answer:

Step-by-step explanation:

Your question has typographical errors. The equation is 2a + b = 15.7, not 2e+b-15.7

2a + b = 15.7

b = 15.7  - 2a

since a > b, a = 6.3 cm

b = 15.7 - 2·6.3 = 3.1 cm

3 0
3 years ago
Suppose that the amount of time T a customer spends in a bank is exponentially distributed with an average of 10 minutes. What i
Bad White [126]

Answer:

The probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes  is 0.6065.

Step-by-step explanation:

The random variable <em>T</em> is defined as the amount of time a customer spends in a bank.

The random variable <em>T</em> is exponentially distributed.

The probability density function of a an exponential random variable is:

f(x)=\lambda e^{-\lambda x};\ x>0

The average time a customer spends in a bank is <em>β</em> = 10 minutes.

Then the parameter of the distribution is:

\lambda=\frac{1}{\beta}=\frac{1}{10}=0.10

An exponential distribution has a memory-less property, i.e the future probabilities are not affected by any past data.

That is, <em>P</em> (<em>X</em> > <em>s</em> + <em>x</em> | <em>X</em> ><em> s</em>) = <em>P</em> (<em>X</em> > <em>x</em>)

So the probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes  is:

P (X > 15 | X > 10) = P (X > 5)

\int\limits^{\infty}_{5} {f(x)} \, dx =\int\limits^{\infty}_{5}  {\lambda e^{-\lambda x}} \, dx\\=\int\limits^{\infty}_{5}  {0.10 e^{-0.10 x}} \, dx\\=0.10\int\limits^{\infty}_{5}  {e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10}|^{\infty}_{5}\\=[-e^{-0.10 \times \infty}+e^{-0.10 \times 5}]\\=0.6065

Thus, the probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes  is 0.6065.

8 0
3 years ago
the measure of the supplement of an angle is 30 more than twice the measure of the angle. find the measure of the angles
Ierofanga [76]
Triangle= 180 degrees
Angle = 37.5 degrees
Supplement angle = 105 degrees

If you multiply the angle (37.5) by 2 and then add 30, it gives you 105. Then add 37.5 twice to make up the other two angles of the triangle and it gives you 180 total degrees as a triangle should.
7 0
3 years ago
See attachment for help.
Tema [17]

the correct answer is B.

7 0
3 years ago
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