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Tom [10]
3 years ago
12

Factor the expression 5x^2 -22x -15

Mathematics
1 answer:
Murljashka [212]3 years ago
3 0
5x^2-22x-15=5x^2\underbrace{-25x+3x}_{-22x}-15\\\\=(5x^2-25x)+(3x-15)=5x(x-5)+3(x-5)\\\\=\boxed{(x-5)(5x+3)}

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Please helpppp it has to do with P(A U B)
Katyanochek1 [597]
P(A)=0.5, P(B)=0.6, P(A\cup B)=0.8

We find the probability of intersection using the inclusion/exclusion principle:


P(A\cap B)=P(A)+P(B)-P(A\cup B)=0.3


By definition of conditional probability,


P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{0.3}{0.6}=0.5


For A and B to be independent, we must have


P(A\cap B)=P(A)\cdot P(B)

in which case we have 0.3=0.5\cdot0.6, which is true, so A and B are indeed independent.


Or, to establish independence another way, in terms of conditional probability, we must have

P(A\mid B)\cdot P(B)=P(A)\cdot P(B)\implies P(A\mid B)=P(A)


which is also true.
7 0
3 years ago
Help I need sleep and I live in Canada, de las ovejas and it's 1am
MrMuchimi

Answer:

Answer:

The student council made more snow cones per hour than the parent volunteers.

Explanation:

To find the number of snow cones made per hour:

XXX

Divide the number of snow cones made

XXX

by the number of hours spent making snow cones.

Parent volunteers

XXX

Number of snow cones:  

120

XXX

Number of hours spent making snow cones:  

5

Number of snow cones per hour:  

120

÷

5

=

24

Student council

XXX

Number of snow cones:  

100

XXX

Number of hours spent making snow cones:  

4

Number of snow cones per hour:  

100

÷

4

=

25

Since the student council made  

25

snow cones per hour and the parent volunteers only made  

24

snow cones per hour:

the student council made more snow cones per hour.

Step-by-step explanation:


4 0
3 years ago
(Please 75 points if answerd need this is 1 min)
chubhunter [2.5K]

Answer:

(5,-4)

Step-by-step explanation:

If reflected over the x-axis, the quadrilateral would be in the fourth quadrant. N' would be at (1,-1) and P' at (6,-1). To reflect, look at the y-coordinate of the point and turn it to negative. With point Q, it's at (5,4) so we just flip the 4 to -4 and that's our point! (5,-4)

8 0
2 years ago
Slick Slack is a downloadable app that can be used to automatically generate excuses for being late to work based on the weather
Greeley [361]

Answer:

(x_1,y_1) = (1,5840)

(x_2,y_2) = (2,13090)

y = 1812.5x + 4027.5

y_0 = 4027.5 --- y intercept

Step-by-step explanation:

Given:

x = weeks; y = copies

The right parameters are:

After 1 week, 5840 copies were downloaded

After 5 weeks, 13090 copies were downloaded

So, the (x,y) forms are:

(x_1,y_1) = (1,5840)

(x_2,y_2) = (5,13090)

Next, we calculate the slope (m) using:

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

m = \frac{13090 - 5840}{5 - 1}

m = \frac{7250}{4}

m = 1812.5

The equation is then calculated using:

y = m(x - x_1) + y_1

y = 1812.5(x - 1) + 5840

y = 1812.5x - 1812.5 + 5840

y = 1812.5x + 4027.5

To calculate the y intercept, substitute 0 for x

y_0 = 1812.5*0 + 4027.5

y_0 = 0 + 4027.5

y_0 = 4027.5

7 0
2 years ago
What's the answer and how to get it
Murrr4er [49]
The answer is B.)
The answers are using the distributive property. The distributive property multiplies both the numbers inside the parenthesis by the number that's on the outside of the parenthesis.
6x3 = 18, 6x4x=24x.
Hope this helps :) work hard!
8 0
3 years ago
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