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koban [17]
3 years ago
15

Convert the following values into scientific notation. Which one has the negative exponent.

Mathematics
1 answer:
REY [17]3 years ago
6 0

Answer:

B has a negative exponent: 8 x 10^-7

A doesn't: 4.267 x 10^7

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If P(A) = 0.25, P(B) = 0.60 and P(A and B) = 0.15, are the event A and B independent? Explain/show work.
babymother [125]

Answer:

event A and B are independent because  P(A and B)  = P(A) x P(B) = 0.15

Step-by-step explanation:

When two events are independent, the probability of both occurring is the product of their separate probabilities, as expressed below;

P(A and B)  = P(A) x P(B)

Given;

P(A) =  0.25

P(B) = 0.60

P(A and B) = 0.15

Now, let's check if  P(A and B) will be equal to P(A) x P(B)

P(A) x P(B) =  0.25 x 0.60 = 0.15

P(A and B)  = P(A) x P(B), thus event A and B are independent.

7 0
3 years ago
he length of a rectangle is three times the width. The perimeter is 240 inches. Find the length and the width.
sammy [17]

Answer:

Length = 90 inch.

width = 30 inch

Let width of the rectangle = x inch.

So the length = 3x inch.

Perimeter = 2(length + width) = 2 (3x + x) = 8x.

So,

length = 3x = 3(30) = 90 inch.

width = x = 30 inch

4 0
2 years ago
Question 21
horsena [70]

Answer:

<em>A(x) = 6x² + 26x </em>

Step-by-step explanation:

A(x) = 4x ( x + 10 ) - 2x ( 8 ) + \frac{2x(x)}{2} + \frac{2x(x+2)}{2}

A(x) = 4x² + x² + x² + 40x - 16x + 2x

<em>A(x) = 6x² + 26x</em>

7 0
2 years ago
Express in simplest a+bi form: Square root of 1b + Square root of -1b
Nimfa-mama [501]

Express in simplest a+bi form: Square root of 1b + Square root of -1b

\sqrt{1b} + \sqrt{-1b}

Lets simplify \sqrt{-b}

We know \sqrt{-1} = i

\sqrt{-b} =i\sqrt{b)

We cannot simplify \sqrt{1b}

\sqrt{1b} + \sqrt{-1b}

\sqrt{1b} + i\sqrt{b}

So a + ib form is \sqrt{1b} + i\sqrt{b}


5 0
3 years ago
Solutions for Two distinct parabolas
SpyIntel [72]
The equation may also have one common root or no real roots. This gives the maximum number of points where the parabola<span> intersect as </span>2<span>. ... When that is the case, the twp </span>parabolas<span> intersect at 4 </span>distinct<span> points. The maximum number of points of intersection of </span>two distinct parabolas<span> is 4.</span>
5 0
3 years ago
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