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2 years ago

How many inches represent 6 feet

Mathematics

1 answer:

Viefleur [7K]2 years ago

7 0

Answer:

72 inches

Explanation: because if you divide 72 by 12 you would have 6 and that would be 6 feet

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A tire company finds that the lifespan for one brand of its tires is normally distributed with a mean of 47,500 miles and a stan

Illusion [34]

Answer:

42580 miles

Step-by-step explanation:

Mean = $\mu = 47500$

$\sigma = 3000$

The manufacturer does not want to replace more than 5% of the tires

$P(X\leq x)=5\%$

$P(\frac{x-\mu}{\sigma}\leq \frac{x-47500}{3000})=0.05$

By using normal table values :

$\frac{x-47500}{3000}=-1.64$

$x=(-1.64 \times 3000)+47500$

$x=42580$

Hence the approximate number of miles for the warranty is 42580 miles

6 0

3 years ago

What does the point (12,4) represent in this situation?

kobusy [5.1K]

Answer:

what is the situation?

Step-by-step explanation:

3 0

2 years ago

The port of South Louisiana, located along 54 miles of the Mississippi River between New Orleans and Baton Rouge, is the largest

Ksenya-84 [330]

Answer:

a) 0.7287

b) 0.9663

c) 0.237

d) 3.65 tons of cargo per week or more that will require the port to extend its operating hours.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4.5 million tons of cargo per week

Standard Deviation, σ = 0 .82 million tons

We are given that the distribution of number of tons of cargo handled per week is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P( port handles less than 5 million tons of cargo per week)

P(x < 5)

$P( x < 5) = P( z < \displaystyle\frac{5 - 4.5}{0.82}) = P(z < 0.609)$

Calculation the value from standard normal z table, we have,

$P(x < 5) =0.7287= 72.87\%$

b) P( port handles 3 or more million tons of cargo per week)

$P(x \geq 3) = P(z \geq \displaystyle\frac{3-4.5}{0.82}) = P(z \geq −1.82926)\\\\P( z \geq −1.82926) = 1 - P(z < -1.829)$

Calculating the value from the standard normal table we have,

$1 - 0.0337 = 0.9663 = 96.63\%\\P( x \geq 3) = 96.63\%$

c)P( port handles between 3 million and 4 million tons of cargo per week)

$P(3 \leq x \leq 4) = P(\displaystyle\frac{3 - 4.5}{0.82} \leq z \leq \displaystyle\frac{4-4.5}{0.82}) = P(-1.829 \leq z \leq -0.609)\\\\= P(z \leq -0.609) - P(z < -1.829)\\= 0.271-0.034 = 0.237= 23.7\%$

$P(3 \leq x \leq 4) = 23.7\%$

d) P(X=x) = 0.85

We have to find the value of x such that the probability is 0.85.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 4.5}{0.82})=0.85$

$= 1 -P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.85$

$=P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.15$

Calculation the value from standard normal z table, we have,

$P( z \leq -1.036) = 0.15$

$\displaystyle\frac{x - 4.5}{0.82} = -1.036\\x = 3.65$

Thus, 3.65 tons of cargo per week or more that will require the port to extend its operating hours.

8 0

2 years ago

Greg is volunteering at a track meet. He is in charge of providing the bottled water. Greg knows these facts:

GuDViN [60]

Answer: There are 819 fewer number of cases of water bottle that all athlete, all coaches and all judges will get.

Step-by-step explanation:

Since we have given that

Number of days the meeting is going on = 3 days

Number of athletes = 117

Number of coaches = 7

Number of judges = 4

Number of bottles given to each athlete each day = 4

Total number of bottles total athlete for 3 days will get is given by

$117\times 4\times 3\\\\=1404$

Number of bottles given to each coach each day = 3

Total number of bottles total coach for 3 days will get is given by

$7\times 3\times 3\\\\=63$

Number of bottles given to each judge each day = 2

Total number of bottles total judge for 3 days will get is given by

$4\times 3\times 2\\\\=24$

Number of cases of water bottle is given to athletes is given by

$\frac{1404}{24}$

Number of cases of water bottle is given to coaches is given by

$\frac{63}{24}$

Number of cases of water bottle is given to judges is given by

$\frac{24}{24}$

We need to find the fewer number of cases that all athlete , all coaches and all judges will get

$\text{L.C.M. of }\frac{1404}{24},\frac{63}{24},\frac{24}{24}\\\\=\frac{L.C.M.\ of\ 1404,63,24}{H.C.F.\ of\ 24,24,24}\\\\=\frac{19656}{24}\\\\=819$

Hence, there are 819 fewer number of cases of water bottle that all athlete, all coaches and all judges will get.

5 0

2 years ago

Read 2 more answers

R = 5k - 6<br>work out the value of R when k=3

viva [34]

Answer:

R=9

Step-by-step explanation:

In the equation, replace k with 3.

R=5(3)-6

Multiply.

R=15-6

Subtract

R=9

I hope this helps!

4 0

2 years ago

Read 2 more answers