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kherson [118]
3 years ago
15

K/3.8 + 57.6 = 28.3 The value of k is =

Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0

Answer:

k = -111.34

Step-by-step explanation:

In this question, you will solve for k.

Solve:

k/3.8 + 57.6 = 28.3

Subtract 57.6 from both sides.

k/3.8 = -29.3

To get "k" by itself, multiply both sides by 3.8 to eliminate the fraction.

k = -111.34

-111.34 is the value of "k".

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You are making sets of pens and pencils to sell. You want each set to contain the same combination of pens and pencils. You have
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The greatest number of the sets you can make are 32 sets 
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4 years ago
For safety reasons, 4 different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills
Evgen [1.6K]

Answer:

<em>99.93%</em>

Step-by-step explanation:

<u>Probability of Independent Events</u>

Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.

We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.

We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.

The probability that none of the systems detect the theft is

P(0)=q^4=0.16^4=0.00065536

Thus, the probability that at least one of the systems detect the theft is

P(x\geq1)=1-P(0)=1-0.00065536=0.9993

That means a 99.93%

3 0
3 years ago
A baseball diamond is 90 feet square (NOT 90 square feet!). Coach Jack Handley runs from first base to second base at 25 feet pe
OverLord2011 [107]

Answer:

dx/dt = 5√5/2

Step-by-step explanation:

Given:

dx/dt = 25 feet per second

According to Pythagoras theorem:

x² + 90² = y²

We know that x = 30 ft

So,

x² + 90² = y²

30² + 90² = y²

y = 30√10

So,

x² + 90² = y²

By taking differentiate:

2x dx/dt = 2y dy/dt

[x/y][dx/dt] = dy/dt

dx/dt = 5√5/2

4 0
3 years ago
In places where there are crickets, the outdoor temperature can be predicted by the rate at which crickets chirp. One equation t
irina1246 [14]

Answer:

See explanation

Step-by-step explanation:

This question requires a list of options.

Since, there are none; I'll give a general explanation to answer this.

We have that:

f = 14c + 40

The general format of an equation in terms of f and c is:

f = mc + b

Where

m = slope and b = y\ intercept

A true statement about the function above is:

The slope of the equation is 14

This means that at every minute, there's an additional 14 chirps from the cricket.

Another true statement about the function is that:

The y intercept is 40.

This means that the initial number of chirps by the cricket is 40

i.e. At time, c = 0 minutes.

There are 40 chirps.

A likely question could be to determine the number of chirps in (say) 5 minutes.

This means that:

c= 5

Substitute 5 for c in f = 14c + 40

f = 14 * 5 + 40

f = 70 + 40

f = 110

This implies there are 110 chirps in 5 minutes

8 0
3 years ago
Read 2 more answers
Draw to show the regrouping add 63 and 9
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72 because 63 + 9 is basically 9×8
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3 years ago
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