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3 years ago

Write the prime factorization of each number then find the greatest common factor of the numbers 40, 48

Mathematics

1 answer:

DedPeter [7]3 years ago

3 0

40= 1,2,4,5,8,10,20,40
48= 1,2,3,4,6,8,12,16,24,48
the gcf is 8.

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What is the cosine of angle F A. 4/5 B. 3/4 C. 5/4 D. 3/5

saveliy_v [14]

Answer: option D

Step-by-step explanation:

Remember the cosine identity:

$cos\alpha=\frac{adjacent}{hypotenuse}$

Given the right triangle DFE shown in the image, you can identify that the adjacent side and the hypotenuse for the angle F of this triangle are:

$adjacent=15\\hypotenuse=25$

Now you can substitute values into $cos\alpha=\frac{adjacent}{hypotenuse}$ and then reduce the fraction.

THerefore you get: $cos(F)=\frac{15}{25}\\\\cos(F)=\frac{3}{5}$

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The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.5 per week. Find the probabili

Mariana [72]

Answer:

a) 0.01111

b) 0.4679

c) 0.33747

Step-by-step explanation:

We are given the following in the question:

The number of accidents per week can be treated as a Poisson distribution.

Mean number of accidents per week = 4.5

$\lambda= 4.5$

Formula:

$P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}$

a) No accidents occur in one week.

$P(x =0)\\\\= \displaystyle\frac{4.5^0 e^{-4.5}}{0!}= 0.01111$

b) 5 or more accidents occur in a week.

$P( x \geq 5) = 1-\displaystyle \sum P(x$

c) One accident occurs today.

The mean number of accidents per day is given by

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3 years ago

a contractor is building a new subdivision on the outside of a city. he has started work on the first street and is planning for

monitta

The equation of the location of the second street in standard form is

x + y = -6

Equation of the line:

The equation of the line represents the algebraic form of representing the set of points, which together form a line in a coordinate system.

The equation of the line can be formed with the help of the slope of the line and a point on the line.

The general form of the equation of a line with a slope m and passing through the point (x₁,y₁) is given as:

y = mx + b.

Where

m represents the slope of the line.

Given,

Point = ( -5 , -1)

Here we need to find the equation of the location.

For that, first we have to find the slope of the line,

Having two points in the format (x,y), the slope is given by the change in y divided by the change in x.

The equation of the street is parallel to the equation of the line in the graph, thus they have the same slope.

So, in street 1 the equation is

=> y =-x +1

And street 2 the equation is

=> y =-x +b,

solve for b by plugging in (-5,-1)

=> -1 =-(-5) +b

=> b= -1-5 = -6

=> b = -6

Now apply the value of b on the equation,

Then

=> y = -x -6

=> y + x = -6

So, the equation of the location is x + y = -6.

To know more about Equation of the line here.

brainly.com/question/2564656

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1 year ago

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