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3 years ago

You worked the following hours this week: Monday 8 AM to PM, Tuesday 9 AM to 3 PM, Thursday 8:30 AM to 2:15 PM.

Mathematics

2 answers:

Andru [333]3 years ago

4 0

Answer:

24 hours andlike 15 45 minutes

Step-by-step explanation:

Simora [160]3 years ago

3 0

Answer:

24 hours and 15 minutes.

Step-by-step explanation:

8 AM to PM- 12 hours

9 AM to 3 PM- 6 hours

8:30-30- 8 AM

8 AM to 2:15 PM- 6 hours and 15 minutes

12+6+8+6+15 minutes= 24 hours and 15 minutes

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A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while

bija089 [108]

Answer:

The probability that the assembly line will be shut down is 0.00617.

Step-by-step explanation:

We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.

Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.

Let X = Number of bottles in the sample that are not within specification.

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.....$

where, n = number of trials (samples) taken = 12 bottles

x = number of success = 2 or more bottles

p = probabilitiy of success which in our question is probability that

bottles are not within specification, i.e. p = 0.01

So, X ~ Binom (n = 12, p = 0.01)

Now, the probability that the assembly line will be shut down is given by = P(X $\geq$ 2)

P(X $\geq$ 2) = 1 - P(X = 0) - P(X = 1)

= $1-\binom{12}{0} \times 0.01^{0}\times (1-0.01)^{12-0}-\binom{12}{1} \times 0.01^{1}\times (1-0.01)^{12-1}$

= $1-(1 \times 1\times 0.99^{12})-(12 \times 0.01^{1}\times 0.99^{11})$

= 0.00617

8 0

3 years ago

Estimate the following quantities without using a calculator. Then find a more precise result, using a calculator if necessary.

zubka84 [21]

Explanation:

a. It is so easy to double a number that no approximation is necessary.

31,000 × 200 = 3.1×10⁴ × 2×10² = 6.2×10⁶ exactly

b. 6.2×10³ × 5.2×10⁶ ≈ 6×5×10⁹ = 3×10¹⁰ approximately

The approximation can be refined a bit by taking the ".2" into account:

6.2×10³ × 5.2×10⁶ ≈ (6×5 + .2×(6+5))×10⁹

= 32.2×10⁹ = 3.22×10¹⁰ approximately

Actual product: 3.224×10¹⁰.

For most purposes, the approximation is an adequate approximation, as it it within 10% of the actual value.

c. 9×10⁶ -2.3×10⁴ ≈ 9×10⁶ approximately

A better approximation is to actually subtract an approximation of the smaller number:

9×10⁶ -2.3×10⁴ ≈ (9 - 0.02)×10⁶ ≈ 8.98×10⁶ approximately

The actual value uses all of the digits of the smaller number:

9×10⁶ -2.3×10⁴ ≈ (9 - 0.023)×10⁶ = 8.977×10⁶ exactly

As in part B, either approximation is adequate for most purposes, as the difference from the actual value is less than .3%.

_____

The accuracy required of an approximation, hence the work you expend improving accuracy, should depend on the need in the final application of the number. Often, approximations are used for budget or resource planning purposes where some "slop" is allowed or even expected.

They can also be used in engineering applications, where the error needs to be on the side of more safety (rather than less).

7 0

3 years ago

The number is odd.

77julia77 [94]

Answer:

Wow thats pretty hard the only things i could guess was the first one could be 18+ 18=36 and then there 6X6=36. but neither of those are greater than 50. And both of them are less than 75.

Step-by-step explanation:

Is this for a class??

7 0

3 years ago

What is the solution to the equation x2 +6x=40

eimsori [14]

Answer:

x=10 x=-4

Step-by-step explanation:

x^2 +6x = 40

subtract 40 from each side

x^2 +6x -40 = 0

what numbers multiply to -40 and add to 6

-10 *4 = -40 -10 +4 = 6

(x-10) (x+4) = 0

using the zero product property

x-10 = 0 x+4 =0

x=10 x=-4

7 0

3 years ago

Read 2 more answers

A man is 6 feet 3 inches tall. The tip of his shadow touches a fire hydrant that is 13 feet 6 inches away. What is the angle of

Natalija [7]

well, since a foot is 12inches, 6' 3" will just be 6.25' and 13' 6" will be 13.5'.

Check the picture below.

Make sure your calculator is in Degree mode.

8 0

2 years ago