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3 years ago

a number is chosen at random from the numbers 1 to 100. what is the probability that the number is divisible by 5?

Mathematics

1 answer:

Llana [10]3 years ago

4 0

Answer:

20/100

depending on how many of something there is, the probability is the amount of the specific item over the total number of items

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AB and BC form a right angle at point B if A = (-3,-1) and B = (4,4) what is the equation if BC

sergejj [24]

Answer:

$7x+5y-48=0$

Step-by-step explanation:

Refer the attached figure .

We are given a line AB

Point A $=(x_1,y_1) = (-3,-1)$

Point B $=(x_2,y_2) = (4,4)$

Formula for slope 'm' when two points are given :

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting thew values

$m=\frac{4-(-1)}{4-(-3)}$

$m=\frac{5}{7}$

Since we are given that AB is perpendicular to BC

So, By property - perpendicular slopes are negative reciprocals of each other.

$\Rightarrow m_1\times m_2 =-1$

$\Rightarrow \frac{5}{7}\times m_2 =-1$

$\Rightarrow m_2 = \frac{-7}{5}$

So, Slope for line BC : $m_2 = \frac{-7}{5}$

Point B = (4,4)

Formula of equation of line : $y-y_1=m(x-x_1)$

$y-4=\frac{-7}{5}(x-4)$

$5(y-4)=-7(x-4)$

$5y-20=-7x+28$

$7x+5y-20-28=0$

$7x+5y-48=0$

Hence the equation of line BC : $7x+5y-48=0$

5 0

3 years ago

At BYU-Idaho there has been a lot of interest in the performance of students in online classes. Generally, administrators are in

blondinia [14]

Answer:

d. Yes, all of the expected counts are greater than or equal to 5

Step-by-step explanation:

Yes, the requirements satisfied to conduct a hypothesis test and all of the expected counts are greater than or equal to 5.

6 0

3 years ago

What does 24c2 equal

mr Goodwill [35]

=24*c2
=24*(c*c)
=24c2

8 0

3 years ago

A man walks at the rate of 88 paces to the minute if the average length of his paces is 0.875m, find the time take to walk 2.31k

Nataly [62]

Answer:

30 minutes

Step-by-step explanation:

Walk rate = 88 paces/ minute

Average length of pace = 0.875 m

Time taken to walk 2.31 km ;

The distance in metres :

1000 m = 1 km

2.31 km = (1000 * 2.31) = 2310 m

Recall :

Time taken = distance / speed

Distance walked in a minute = 88 * 0.875 = 77 m

Time taken = 2310 / 77

Time taken = 30 minutes

6 0

3 years ago

Rewrite in simplest terms: 5(0.9m+0.5)-3(0.4m+0.7)

hram777 [196]

Answer:

3.3m+1.4

Step-by-step explanation:

Multiply 5 and 0.9m

Multiply 5 and 0.5

5 times 0.9m is 4.5m

5 times 0.5 is 2.5

Multiply -3 and 0.4m

Multiply -3 and 0.7

-3 times 0.4m is -1.2m

-3 times -.7 is -2.1

4.5m+ 2.5 -1.2m-2.1

Which is 3.3m+1.4

Hope this helps!

3 0

2 years ago