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3 years ago

Need help with this quick

Mathematics

1 answer:

Tju [1.3M]3 years ago

6 0

Answer:

SAS

Step-by-step explanation:

GH=JK given

GJ=GJ reflexive property

Angle GJK = Angle HGJ Alternate interior angles

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Two students from a group of eight boys and 12 girls are sent to represent the school in a parade. If the students are chosen at

n200080 [17]

Answer: The probability of selecting at least one boy (the probability that the 2 students selected are not both girls) is 62/95 or 0.6526

Step-by-step explanation:

From the question, the students to be chosen must be selected from a group of eight boys and twelve girls. This means that the total number of students that these two students must be chosen from is:

8 + 12 = 20 students.

The next step would be to find the probability of selecting a boy:

= Total number of boys/Total number of students

= 8/20

We will also find the probability of selecting one girl from the group

= Total number of girls/Total number of students

= 12/20

To find the probability that the two selected students are not girls is the same as finding the probability of selecting at least one boy. To do this, we will first find the probability of choosing all girls and then subtract it from 1.

The probability of selecting or choosing 2 girls (without replacement)

(12/20) × (11/19)

= 132/380

= 33/95

Then, the probability of selecting at least one boy (the probability that the students chosen are not both girls)

= 1 - (33/95)

= (95/95) - (33/95)

= 62/95 or 0.6526

8 0

4 years ago

A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes four re

ddd [48]

Answer:

62.8 km per min

Step-by-step explanation:

Let the diagram of this situation is shown below,

In which $\theta$ is the angle made by light to the straight line joining the lighthouse and P,

∵ Light makes 4 revolutions per minute.

Also, 1 revolution = $2\pi$ radians

So, the change in angle with respect to t ( time ),

$\frac{d\theta}{dt}=8\pi\text{ radians per min}$

Let x be the distance of beam from P,

$\implies \tan \theta = \frac{x}{2}$

Differentiating with respect to x,

$\sec^2 \theta \frac{d\theta}{dt}=\frac{1}{2}\frac{dx}{dt}$

$(1+\tan^2 \theta) (8\pi) = \frac{1}{2}\frac{dx}{dt}$

$(1+\frac{x^2}{2^2})(8\pi) = \frac{1}{2}\frac{dx}{dt}$

If x = 1 km,

$(1+\frac{1}{4})8\pi =\frac{1}{2}\frac{dx}{dt}$

$\frac{5}{4}8\pi = \frac{1}{2}\frac{dx}{dt}$

$\implies \frac{dx}{dt}=\frac{80\pi}{4}= 20\pi\approx 62.8\text{ km per min}$

Hence, the beam of light moving along the shoreline with the speed of 62.8 km per min

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4 years ago

HELP! WILL GIVE BRAINLIEST!!!

grin007 [14]

Answer:

The volume of a sphere can be approximated by cylinders. As the number of cylinders approaches infinity the total volume of all the cylinder approaches the actual volume of the sphere.

3 0

3 years ago

Convert to a percent. round to the nearest tenths place 32/35

Verizon [17]

Answer:

91.4

Step-by-step explanation:

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3 years ago

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Round 4.25 to one decimal place

Sedaia [141]