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2 years ago

Angle EFG has a measure of 133º. Triangle EFG is rotated 180° counterclockwise about point F to create triangle E'F'G'.

Mathematics

2 answers:

alekssr [168]2 years ago

7 0

Answer: $313^{\circ}$

Step-by-step explanation:

Given

$\angle {EFG}=133^{\circ }$

When rotated 180 degree clockwise gives E'F'G' which measures

$\angle E'F'G'=180^{\circ}+133^{\circ}=313^{\circ}$

This can be explained by the below-given digram

sergiy2304 [10]2 years ago

5 0

Answer:

the answer is C

Step-by-step explanation:

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3 years ago

Historical data for a local manufacturing company show that the average number of defects per product produced is 2. In addition

charle [14.2K]

Answer:

The probability that there will be a total of 7 defects on four units is 0.14.

Step-by-step explanation:

A Poisson distribution describes the probability distribution of number of success in a specified time interval.

The probability distribution function for a Poisson distribution is:

$P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}, x=0,1,2,3,...$

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Then in 4 units the number of defects is, $(2\times4)=8$ .

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$P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}\\P(X=7)=\frac{e^{-8}8^{7}}{7!}\\=\frac{0.0003355\times2097152}{5040}\\ =0.1396\\\approx0.14$

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3 years ago

The function h(t)=-4.92t^2+17.69t+575 is used to model an object being tossed from a tall building, where h(t) is the height in

nikklg [1K]

We have the following equation:
 h(t)=-4.92t^2+17.69t+575

 For the domain we have:
 We match zero:
-4.92t ^ 2 + 17.69t + 575 = 0
We look for the roots:
t1 = -9.16
t2 = 12.76
We are left with the positive root, so the domain is:
[0, 12.76]

For the range we have:
We derive the function:
h '(t) = - 9.84t + 17.69
We equal zero and clear t:
-9.84t + 17.69 = 0
t = 17.69 / 9.84
t = 1.80
We evaluate the time in which it reaches the maximum height in the function:
h (1.80) = - 4.92 * (1.80) ^ 2 + 17.69 * (1.80) +575
h (1.80) = 590.90
Therefore, the range is given by:
[0, 590.9]

Answer:
the domain and range are:
domain: [0, 12.76] range: [0, 590.9]

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