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Licemer1 [7]
3 years ago
9

Which shape represents the cross section formed by the plane

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

Answer:

triangle

Step-by-step explanation:

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M=2 , b=-5 what does y equal ?
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Y= mx +b
Y= 2x -5
You have to find what is x
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Solve for the value of x in this equation: -10x+17x-2 = 5(x+4)
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Ok here are the steps and the answer

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The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard de
qaws [65]

Answer: a. 0.6759    b. 0.3752    c. 0.1480

Step-by-step explanation:

Given : The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.2 minutes

i.e. \mu = 6.3 minutes

\sigma=2.2 minutes

Let x be the long-distance call length.

a. The probability that a call lasts between 5 and 10 minutes will be :-

P(5

b. The probability that a call lasts more than 7 minutes. :

P(X>7)=P(\dfrac{X-\mu}{\sigma}>\dfrac{7-6.3}{2.2})\\\\=P(Z>0.318)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z

c. The probability that a call lasts more than 4 minutes. :

P(X

8 0
3 years ago
A sheet of glass has a density of 2.5 g/cm3. what is the density of the glass in kg/m3
asambeis [7]

Answer:

this is ez

Step-by-step explanation:

2.5 g converted to kg: 2.5 g x 1 kg/1000 g = 0.0025 kg = 2.5x10-3 kg

cm3 converted to m3: 1 cm3 x 10-6 m3/cm3 = 1x10-6 m3

Thus, the conversion of 2.5 g/cm3 to kg/m3 would be 2.5x10-3 kg/10-6 m3 = 2.5x103 kg/m3 = 2500 kg/m3

7 0
3 years ago
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What is the factored form of the expression?<br><br> d^2 = 36d + 324
Veseljchak [2.6K]

Answer:

(x-43.45)(x+7.45)=0

Step-by-step explanation:

We have the quadratic equation d^{2}=36d+324  i.e. d^{2}-36d-324=0

As, the roots of the quadratic equation ax^{2}+bx+c=0 are given by x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}.

So, from the given equation, we have,

a = 1, b = -36 , c = -324.

Substituting the values in x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}, we get,

x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}

i.e. x=\frac{36\pm \sqrt{1296+1296}}{2}

i.e. x=\frac{36\pm \sqrt{2592}}{2}

i.e. x=\frac{36\pm 50.9}{2}

i.e. x=\frac{36+50.9}{2}  and x=\frac{36-50.9}{2}

i.e. x=\frac{86.9}{2}  and x=\frac{-14.9}{2}

i.e. x = 43.45 and x = -7.45

Thus, the roots of the equation are 43.45 and -7.45.

Hence, the factored form of the given expression will be (x-43.45)(x+7.45)=0

3 0
3 years ago
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