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WINSTONCH [101]
4 years ago
6

Write a compound inequality that represents the situation:

Mathematics
2 answers:
DochEvi [55]4 years ago
5 0
The answer is B
The keywords at least and at most mean that it has to be less than or equal to/more than or equal to.
There is no value for x that can satisfy the conditions for C
Dmitriy789 [7]4 years ago
5 0
X ≥ -6 and x ≤ 3
-6 ≤ x ≤ 3
Letter B
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Which numbers below represents a repeating decimal? Check all the boxes that apply.*
omeli [17]

Answer:

-2/3

Step-by-step explanation:

-2/3= -.066666667

-3/5= -0.6

3/10= 0.3

11/20= 0.55

6 0
3 years ago
What is the measure of the missing angle?
Andrei [34K]

Answer:

79

Step-by-step explanation:

3 0
3 years ago
Alina drew a model of a square pyramid. The dimensions of the model are shown in the diagram. pls don't answer with links
Romashka [77]

Answer:

C

Step-by-step explanation:

Volume of a pyramid = 1/3 base area * height

                                   = 1/3 (8 * 10)(12)

6 0
3 years ago
Calculate the area of the surface S. S is the portion of the cone (x^2/4)+(y^2/4)=(z^2/9) that lies between z=4 and z=5
Ganezh [65]

Parameterize S by

\vec r(u,v)=\dfrac23u\cos v\,\vec\imath+\dfrac23u\sin v\,\vec\jmath+u\,\vec k

with 4\le u\le5 and 0\le v\le2\pi. Take the normal vector to S to be

\vec r_u\times\vec r_v=-\dfrac23u\cos v\,\vec\imath-\dfrac23u\sin v\,\vec\jmath+\dfrac49u\,\vec k

(orientation doesn't matter here)

Then the area of S is

\displaystyle\iint_S\mathrm dA=\iint_S\|\vec r_u\times\vec r_v\|\,\mathrm du\,\mathrm dv

=\displaystyle\frac{2\sqrt{13}}9\int_0^{2\pi}\int_4^5u\,\mathrm du\,\mathrm dv

=\displaystyle\frac{4\sqrt{13}\,\pi}9\int_4^5u\,\mathrm du=\boxed{2\sqrt{13}\,\pi}

6 0
3 years ago
An automobile manufacturer is concerned about the possibility of a fault in the engine of a particular model of one of its cars.
motikmotik

Answer:

The probability of 10 or more cars experiencing the fault, 0.00813 is less than 0.01, hence, the manager will not issue a recall for this engine fault.

Step-by-step explanation:

This is Poisson distribution problem

Poisson distribution formula is given by

P(X = x) = (e^-λ)(λˣ)/x!

where λ = mean = 4 cars developing faults per year.

x = variable whose probability is required = 10 or more cars

Meaning we require

P(X ≥ x) = Σ (e^-λ)(λˣ)/x! (Summation From x to the end of the variables)

But Mathematically,

P(X ≥ 10) = 1 - P(X ≤ 9) (since only whole number values are allowed for X)

Therefore,

P(X ≥ 10) = 1 - P(X ≤ 9) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3) +.......+ P(X=9)]

P(X ≥ 10) = 1 - P(X ≤ 9) = 1 - 0.99187 = 0.00813

P(X ≥ 10) = 0.00813 < 0.01, Hence the manager will not issue a recall for this engine fault.

6 0
3 years ago
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