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3 years ago

11/30 as a decimal can you show an image

Mathematics

2 answers:

timofeeve [1]3 years ago

4 0

11.30 because 11/30 is 11.30

Lorico [155]3 years ago

3 0

11/30 as a decimal is 0.366666667

You can round it to 0.36 repeating with the line over the 6, or you can round it to 0.37. Hope this helps. c;

This is the "image", from the calculator online.

11 ÷ 30 =0.36666666666

My own calculator said the one I listed first.

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Canine Crunchies Inc. (CCI) sells bags of dog food to warehouse clubs. CCI uses an automatic filling process to fill the bags. W

KatRina [158]

Answer:

a) 0.9999 = 99.99% probability that a filled bag will weigh less than 49.5 kilograms

b) 0.0018 = 0.18% probability that a randomly sampled filled bag will weight between 48.5 and 51 kilograms.

c) 46.24 kilograms

d) The standard deviation would have to be of 3.41 kilograms.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 45 kilograms and a standard deviation of 1.2 kilograms.

This means that $\mu = 45, \sigma = 1.2$

a. What is the probability that a filled bag will weigh less than 49.5 kilograms?

This is the pvalue of Z when X = 49.5. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{49.5 - 45}{1.2}$

$Z = 3.75$

$Z = 3.75$ has a pvalue of 0.9999

0.9999 = 99.99% probability that a filled bag will weigh less than 49.5 kilograms

b. What is the probability that a randomly sampled filled bag will weight between 48.5 and 51 kilograms?

This is the pvalue of Z when X = 51 subtracted by the pvalue of Z when X = 48.5.

X = 51

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{51 - 45}{1.2}$

$Z = 5$

$Z = 5$ has a pvalue of 1

X = 48.5

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{48.5 - 45}{1.2}$

$Z = 2.92$

$Z = 2.92$ has a pvalue of 0.9982

1 - 0.9982 = 0.0018

0.0018 = 0.18% probability that a randomly sampled filled bag will weight between 48.5 and 51 kilograms.

c. What is the minimum weight a bag of dog food could be and remain in the top 15% of all bags filled?

This is the 100 - 15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037

$Z = \frac{X - \mu}{\sigma}$

$1.037 = \frac{X - 45}{1.2}$

$X - 45 = 1.037*1.2$

$X = 46.24$

46.24 kilograms.

d. CCI is unable to adjust the mean of the filling process. However, it is able to adjust the standard deviation of the filling process. What would the standard deviation need to be so that no more than 2% of all filled bags weigh more than 52 kilograms?

X = 52 would have to be the 100 - 2 = 98th percentile, which is X when Z has a pvalue of 0.98, so X when Z = 2.054. We would need to find the value of $\sigma$ for this.

$Z = \frac{X - \mu}{\sigma}$

$2.054 = \frac{52 - 45}{\sigma}$

$2.054\sigma = 7$

$\sigma = \frac{7}{2.054}$

$\sigma = 3.41$

The standard deviation would have to be of 3.41 kilograms.

5 0

3 years ago

Translate into equation<br> Twelve less than the one- fifth of a number is -7

MakcuM [25]

Answer:

1/5x - 12 = -7

Step-by-step explanation:

The first thing says 12 less THAN. Normally, when you see something in word problems like "less than" it means you need to switch the places.

So rather than 12 - 1/5, it's 1/5 - 12.

1/5 of a number means you are multiplying that number by 1/5. we'll use x (or any letter really, doesn't matter) to represent the unknown number.

Remember that if a variable and number is written together, it means multiplication.

So, 1/5x - 12 = -7.

5 0

3 years ago

100 BRAINLY POINTS!!!!!!

Ipatiy [6.2K]

THE FLAT FEE OF $60 WOULD BE THE Y INTERCEPT BECAUSE THE $5 IS A RATE OF CHANGE DEPENDENT ON THE AMOUNT OF GIGABYTES THE PERSON USES.

8 0

2 years ago

Read 2 more answers

One positive integer is 1 less than another the product of two integers is 72 what are the integers

Fynjy0 [20]

The positive integers would be 8 and 9

because 8*9= 72

3 0

3 years ago

Read 2 more answers

How do I factor this problem?

Leviafan [203]

Let's solve your equation step-by-step
6v^2+v=40
step 1: subtract 40 from both sides
6v^2+v-40=0
6v^2+v-40=0
Step 2: factor left side of equation
(3v+8)(2v-5)=0
step 3: set factors eqyal to 0
3v+8=0 or 2v-5=0
Answer is v= -8/3 or v= 5/2

6 0

3 years ago