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3 years ago

Given that events A and B are independent with P(A) = 0.46 and

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

3 0

Answer:

Given that events A and B are independent with P(A) = 0.46and; P(B|A)=0.85 determine the value of P(B) , rounding to the nearest thousandth , if necessary .

Step-by-step explanation:

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30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours?

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time taken is 32 days,!!!!

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3 years ago

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A quantity with an initial value of 6200 decays continuously at a rate of 5.5% per month. What is the value of the quantity afte

ELEN [110]

Answer:

410.32

Step-by-step explanation:

Given that the initial quantity, Q= 6200

Decay rate, r = 5.5% per month

So, the value of quantity after 1 month, $q_1 = Q- r \times Q$

$q_1 = Q(1-r)\cdots(i)$

The value of quantity after 2 months, $q_2 = q_1- r \times q_1$

$q_2 = q_1(1-r)$

From equation (i)

$q_2=Q(1-r)(1-r) \\\\q_2=Q(1-r)^2\cdots(ii)$

The value of quantity after 3 months, $q_3 = q_2- r \times q_2$

$q_3 = q_2(1-r)$

From equation (ii)

$q_3=Q(1-r)^2(1-r)$

$q_3=Q(1-r)^3$

Similarly, the value of quantity after n months,

$q_n= Q(1- r)^n$

As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,

$q_{48}=Q(1-r)^{48}$

Putting Q=6200 and r=5.5%=0.055, we have

$q_{48}=6200(1-0.055)^{48} \\\\q_{48}=410.32$

Hence, the value of quantity after 4 years is 410.32.

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2 years ago

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Which of the following statements is not true of deductive reasoning? It is used when you solve an equation in algebra. It is us

erastova [34]

<u>Answer:</u>

"It is used when you solve an equation in algebra" is the untrue statement.

<u>Step-by-step explanation:</u>

"It is used when you solve an equation in algebra."

When you solve an algebra problem, you are not using deductive reasoning. You are using the information in front of you to correctly answer.

"It is used to make broad generalizations using specific observations."

This is exactly what deductive reasoning is, you are making generalizations and coming up with your own conclusions through observation.

"It is used to prove basic theorems."

This is also true, you can use deductive reasoning by using your specific observations and drawing conclusions to prove the theorems.

"It is used to prove that statements are true."

Using your own observations, you can draw your own conclusions to prove what you are saying is factual.

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2 years ago

You have 5/6 cup of cocoa in your cupboard. A recipe for cookies calls for 2/5 cup of cocoa. How much cocoa would you have left

bixtya [17]

5/6-2/5= 13/30 .........

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2 years ago

use the plot of the concentration of cu(no3)3 versus absorbance provided. if the absorbance of an unknown was determined to be 0

Helen [10]

Using the linear regression equation, the concentration of the unknown solution is 0.2161 M.

Linear regression describes the relationship of two variables. It may not be exact but it is the line that best fit the data. The equation for a linear regression is in the form y = bx + a, where x and y are the two variables.

If the absorbance of an unknown was determined to be 0.67 absorbance units, using the linear regression equation provided from the plot, substitute the value of absorbance to the variable y and solve for the value of x or the concentration.

y = 3.8674x - 0.1657

0.67 = 3.8674x - 0.1657

3.8674x = 0.67 + 0.1657

3.8674x = 0.8357

x = 0.2161

Hence, the concentration is 0.2161 M.

Learn more about linear regression here: brainly.com/question/25311696

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1 year ago