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vladimir1956 [14]
3 years ago
14

Suppose that w and t vary inversely and that t = 5/12

Mathematics
1 answer:
Svetlanka [38]3 years ago
8 0

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that w varies Inversely with t thus generally speaking w∝\frac{1}{t}  since they are inverted, <u>otherwise</u> if they were proportionally varied then w∝t. This means that there is a constant value ( a ) for which w is inversely proportional to t and can be mathematically expressed as:

w=\frac{a}{t}        Eqn. (1)

Now since we are given the values of w=4 and t=\frac{5}{12}, we can plug them in Eqn. (1) and find our constant of proportionality a as follow:

w=\frac{a}{t}\\ \\a=wt\\\\a=(4)(\frac{5}{12} )\\\\a=\frac{5}{3}

Now that we have our constant we can find the new t value for the second value of w=5 as follow:

w=\frac{a}{t} \\\\t=\frac{a}{w}\\ \\t=\frac{\frac{5}{3} }{5}\\\\t=\frac{5}{15}\\ \\t=\frac{1}{3}\\

Therefore based on the options give, we can see that Option B. is correct since

t=\frac{5}{3w} and for w=5, then t=\frac{1}{3}

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For the given pair of events A and B, complete parts (a) and (b) below.
steposvetlana [31]

Answer:

(a) Option A. independent

(b) P(A\ and\ B) = 0.0312

Step-by-step explanation:

Two events A and B are considered dependent if the occurrence of one affects the probability of occurrence of another.

In this case, the events are independent because the birth of a girl or a boy does not affect the probability of obtaining a 1 by throwing a 16-sided die.

In the same way, throwing a die and obtaining the number 1 does not affect the probability that a baby is a girl or a boy.

When two events are independent then

P(A\ and\ B) = P(A)*P(B)

The probability that a baby is a girl is

P(A) = 0.5

The probability of obtaining a 1 when casting a 16-sided die is:

P(B) = \frac{1}{16}

Then:

P(A\ and\ B) = 0.5 * \frac{1}{16}

P(A\ and\ B) = 0.0312

5 0
3 years ago
What is the angle of elevation to the nearest tenth of a degree to the top of a 55ft building from 95ft away? Please help fast.
hammer [34]

Answer:

30.1°

Step-by-step explanation:

Let A = angle of elevation

tan A = 55/95

A = arctan 55/95

    = 30.1°

4 0
3 years ago
PLEASE HELP!!! Justin is running a race. He has completed 28 km, which happens to be 70% of the total race. How long is
tensa zangetsu [6.8K]
Answer is 40km
Explanation:
So in this question we can use a proportion
Since
28km is 70% we can write it equal to 70%
28=70

and since 100% is unknown we can write it equal to x
100=x

Then we put it in proportion form

28/x=70/100


Then cross multiply and divide

28(100)/70=x

Which would equal 40
8 0
2 years ago
2. The table shows the amount
abruzzese [7]
I think the answer might be B
3 0
3 years ago
So what’s the easiest way to get the answer? 80 = 720 divided by?
kolezko [41]

Answer:

57,600

Step-by-step explanation:

720 * 80 = 57,600

8 0
3 years ago
Read 2 more answers
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