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Reptile [31]
3 years ago
5

Please solve this question ​

Mathematics
1 answer:
larisa86 [58]3 years ago
8 0

Answer:

P (A) = 0.45

Step-by-step explanation:

The addition rule of probability states that:

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

Given:

P(A\cup B) = 0.7\\P(A\cap B) = 0.1\\P(B) = 0.35

Compute the value of P (A) as follows:

P(A\cup B)=P(A)+P(B)-P(A\cap B)\\P(A)=P(A\cup B) + P(A\cap B) - P(B)\\= 0.7 +0.1-0.35\\=0.45

Thus, the probability of <em>A</em> is, P (A) = 0.45.

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The number(s) that appear(s) most often in a set of data
Maslowich

what is the answer the answer is what

7 0
3 years ago
What is the equation of the line that is perpendicular to the given line and has an x-intercept of -3?
Anvisha [2.4K]

Answer:

y=-\frac{3}{2}x-\frac{9}{2}

Step-by-step explanation:

Let the equation of the perpendicular line is,

y = mx + b

where m = slope of the line

b = y-intercept

From the graph, slope of the line passing through (0, -1) and (3, 1),

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

m' = \frac{1+1}{3-0}

m' = \frac{2}{3}

To get the slope (m) of this line we will use the property of perpendicular lines,

m × m' = (-1)

m × \frac{2}{3} = -1

m = -\frac{3}{2}

Equation of the perpendicular line will be,

y=-\frac{3}{2}x+b

x-intercept of the line is (-3) therefore, point on the line is (-3, 0)

0 = -\frac{3}{2}(-3)+b

b = -\frac{9}{2}=-4.5

Equation of the line will be,

y=-\frac{3}{2}x-\frac{9}{2}

3 0
3 years ago
Is √55.5(-0.45.6)-78% an irrational number
Lynna [10]

Answer:

no

Step-by-step explanation:

7 0
3 years ago
An element with mass 330 grams decays by 25. 5% per minute. How much of the element is remaining after 5 minutes, to the nearest
yaroslaw [1]

The amount of mass after 5 minutes is 75.74 grams.

It is given that

The amount initially = 330grams

After every minute mass decays by 25.5%

<h3>What is the percentage?</h3>

The percentage is the value per hundred.

Amount after 1 min = 330-330*25.5/100 = 245.85grams

Amount after 2 min = 245.85-245.85*25.5/100 = 183.16grams

Amount after 3min = 183.16-183.16*25.5/100 = 136.45grams

Amount after 4 min = 136.45-136.45*25.5/100= 101.66grams

Amount after 5 min =101.66-101.66*25.5/100 = 75.74grams

Therefore, the amount of mass after 5 minutes is 75.74 grams.

To get more about percentage visit:

brainly.com/question/24304697

7 0
2 years ago
Luther earned some money doing odd jobs last summer and put it in a savings account that earns 3% interest compounded quarterly
inysia [295]

The function we have to use in this case is

m(t)=m_o\cdot(1+\frac{0.03}{4})^{4t}

where mo is the initial amount of money. After 2 teats we get that

\begin{gathered} m_0\cdot(1+\frac{0.03}{4})^8=800 \\ m_0\cdot1.06=800 \\ m_0=\frac{800}{1.06}\approx754.71 \end{gathered}

SO he earned 755 approximately

8 0
1 year ago
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