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2 years ago

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The weather report states that the probability it will rain on Wednesday is 30 percent and the probability that it will rain on

Saturday is 60 percent. What is the probability that it will rain on Wednesday and on Saturday? 2 percent 18 percent 60 percent 90 percent.

1 answer:

Anika [276]2 years ago

6 0

Answer:

90%

Explanation:

30% + 60% = 90% ...................

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What it means that [If x is a factor of p(x), what is the value of k?]

kompoz [17]

Answer:

$k = -4$

Explanation:

Given

$P(x) = (3x^2 - 5)(x + k) - 20$

x is a factor

Required

Solve for k

x is a factor means that the polynomial can be divided successfully by x.

In other words, x is a zero of the polynomial.

i.e.

$x = 0$ and $P(x) = 0$

Substitute 0 for x in P(x)

$P(x) = (3x^2 - 5)(x + k) - 20$

$P(x) = (3*0^2 - 5)(0 + k) - 20$

$P(x) = (0- 5)(k) - 20$

$P(x) = (-5)(k) - 20$

$P(x) = -5k - 20$

Substitute 0 for P(x)

$0 = -5k - 20$

Collect Like Terms

$5k = - 20$

Divide both sides by 5

$k = -4$

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2 years ago

The winning times for a race are shown in the table. Which answer describes the average rate of change from year 2 to year 4?

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The image produced by an object is –10. 0 cm from a concave mirror that has a focal length of 5. 0 cm. The distance of the objec

Anon25 [30]

The distance of the object from the mirror is 3cm.

To calculate the distance of the object from the mirror, we make use of the mirror formula

<h3>Mirror formula</h3>

1/f = (1/u)+(1/v)............ Equation 1

Where:

f = Focal length of the mirror
v = image distance
u = object distance.

Using the real is positive convention,

Given:

f = 5 cm
v = -10 cm

Substitute these values into equation 1 and solve for u

1/5 = (-1/10)+(1/u)
1/5+(1/10) = 1/u
1/u = (2+1)/10
1/u = 3/10
u = 10/3
u = 3.33
u = 3 cm

Hence, The distance of the object from the mirror is 3cm.

Learn more about mirror formula here: brainly.com/question/26257987

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2 years ago