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Natasha2012 [34]
3 years ago
9

Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs

did Jack make if he had 28.88 lbs of clay left over?
Please help me I really need the answer I have to do 6 more assignments and Helping me would really help me finishing.​
Mathematics
1 answer:
KIM [24]3 years ago
3 0

Given :

Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug.

To Find :

How many mugs did Jack make if he had 28.88 lbs of clay left over.

Solution :

Clay required to make 1 mug, r = 0.72 lbs.

Amount of clay left after making sculpture is, T = 28.88 lbs.

Now, number of clay mug Jack can make is :

n = \dfrac{28.88}{0.72}\\\\n= 40.11

Since, number of mug cannot be in decimal, so we take the floor value.

Therefore, number of mug that can be prepared is 40 .

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butalik [34]

1.

60² + 30² = 4500²

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2.

6² + 8² = 100²

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3.

7² + 14² = 245²

The rope is 15.65 ft.

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4.

180² + 300² = 122400²

He ran 349.85 ft.

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I'm not too sure about question 3.

8 0
3 years ago
CAN SOMEONE PLEASE HELP ME!!!! I NEED HELP BAD
natima [27]
The answer would be 203 because if u multiply u get x time 3
6 0
2 years ago
F(x) = 3x3 - 5x2 +6x -12
arlik [135]

Answer:

1.79438504

Step-by-step explanation:

7 0
3 years ago
f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep
Step2247 [10]

Answer:

15.24% probability that at least 2 will still stand after 35 years

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

Mean of 25 years, so m = 25, \mu = \frac{1}{25} = 0.04

We have to find P(X > 35)

P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466

What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so p = 0.2466

3 towers, so n = 3

We have to find:

P(X \geq 2) = P(X = 2) + P(X = 3)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374

P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150

P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524

15.24% probability that at least 2 will still stand after 35 years

4 0
3 years ago
15. What is the graph of the function rule? <br> y = |3x| - 1
VladimirAG [237]
<h3>Answer:</h3>

D

<h3>Explanation:</h3>

The graph of |x| opens upward. Your graph is vertically stretched by a factor of 3 and translated downward 1 unit.

Graphs B and D open upward, but only graph D is translated downward (not upward, as in B).

3 0
3 years ago
Read 2 more answers
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