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3 years ago

Suppose S and T are mutually exclusive events. Find P(S or T)? sp(S) = 6/11 and p(t)= 1/10

1 answer:

3 0

Using P(A∪B) = P(A) + P (B) - P(A∩B)
If we apply this in the question
Then P(S∪T) = P(S) + P(T) - P (S∩T)
= 6/11 + 1/10 - P (S∩T)
= 71/110 - P (S∩T)
But events S and T are mutually exclusive events therefore,
P(S∩T) = 0,
Hence P(S∪T) = 71/110

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Find the value of k and x2<br> x^2+ 13x + k = 0, x1=-9

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Given:

The quadratic equation is:

$x^2+13x+k=0$

$x_1=-9$

To find:

The value of k and $x_1$ .

Solution:

We have,

$x^2+13x+k=0$ ...(i)

Putting $x=-9$ , we get

$(-9)^2+13(-9)+k=0$

$81-117+k=0$

$-36+k=0$

$k=36$

Putting $k=36$ in (i), we get

$x^2+13x+36=0$

Splitting the middle term, we get

$x^2+9x+4x+36=0$

$x(x+9)+4(x+9)=0$

$(x+9)(x+4)=0$

$x=-9,-4$

Here, $x_1=-9$ and $x_2=-4$ .

Therefore, the required values are $k=36$ and $x_2=-4$ .

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Maksim231197 [3]

Answer:

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3 years ago

Giovanna,Frances, and their dad each carried a ten pound bag of soil into the back yard. After putting soil in the first flower

Greeley [361]

First find the common denominator
5/8=25/40
2/5=16/40
3/4=30/40
Next you can cross multiply
25/40=x/10 pounds
16/40=x/10 pounds
30/40=x/10 pounds
First
25(10)/40= 6.25 pounds
16(10)/40= 4pounds
30(10)/40= 7.5 pounds
These are the amounts that were left in the bag

10-6.25=3.75
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10-7.5=2.5

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Answer:

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Step-by-step explanation:

-1/3 is the slope because the line goes down 1 unit and right 3 units.

The y-intercept is 5 because that is where the line crosses the y-axis.

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