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alukav5142 [94]

3 years ago

11

Luis realizes he needs to purchase blue paint. The store only sells paint in 1 and 5 gallons containers. 1 liter is 0.264 gallon

s. How many gallons of blue paint does he need to purchase in order to complete the project? Explain the mathematical reasoning.

2 answers:

natima [27]3 years ago

7 0

Answer:

idk

Step-by-step explanation:

Sophie [7]3 years ago

6 0

Answer:

how much of his project has he done

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A data scientist studying a manufacturing process classifies each item produced by the process as either Poor, Acceptable, or Ex

Genrish500 [490]

Answer:

0.214 ; 0.064 ; 0.3859 ; 0.9966 ; 0.135

Step-by-step explanation:

Given the distribution :

Poor ___ Acceptable ____ Excellent

0.25 _____ 0.6 _________ 0.15

The data scientist receives three items produced by the manufacturing process.

Find the chance that:

a. all of items are Acceptable

0.6 * 0.6 * 0.6 = 0.6^3 = 0.214

b. none of the items is Acceptable

P(not acceptable) = 1 - p(acceptable) = 1 - 0.6 = 0.4

0.4 * 0.4 * 0.4 = 0.4^3 = 0.064

c. at least one of the items is Excellent

P(atleast one) = 1 - P(none)

P(not excellent) = 1 - 0.15 = 0.85

P(none is excellent) = 0.85^3 = 0.614125

Hence,

P(atleast one is excellent) = 1 - 0.614125 = 0.3859

d. not all of the items are Excellent

P(not all) = 1 - p(All)

P(all excellent) = 0.15^3 = 0.003375

P(not all are excellent) = 1 - 0.003375 = 0.9966

e. there is one item of each class:

P(poor) * p(acceptable) * p(excellent) * (number of classes)!

0.25 * 0.6 * 0.15 * 3!

= 0.135

3 0

3 years ago

victus00 [196]

Ni is not correct. To solve the equivalent quarterly interest rate, the annual interest rate should be multiplied by the correct ratio. Since the annual interest rate is 4% per year. So in 1 quarter is equal to 0.25 year.

<span>(4% / year) (0.25 year/ 1 quarter) = 1% per quarter</span>

8 0

3 years ago

Please help <br> The diagram shows a 5ft student standing near a tree

Novosadov [1.4K]

Answer:

25 ft

Step-by-step explanation:

The diagram shows two triangles that are similar. Similar triangles have equal angles and sides that are proportional to each other. Since the base of each triangle is given, we can find the proportion of the sides:

$\frac{smaller}{larger}=\frac{8}{40}=\frac{1}{5}$

Given the ratio of the smaller to larger triangle, we can set up a proportion to find the missing height of the larger triangle:

$\frac{1}{5}=\frac{5}{x}$ , where 'x' represent the height of the tree

cross-multiply: x = (5)(5) or 25 ft

8 0

3 years ago

If you want to be 95% confident of estimating the population mean to within a sampling error of plus or minus3 and the standard

Aleksandr [31]

Answer:

The sample size required is at least 171

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

What sample size is required?

A samle size of at least n is required, in which n is found when $M = 3, \sigma = 20$

So

$M = z*\frac{\sigma}{\sqrt{n}}$

$3 = 1.96*\frac{20}{\sqrt{n}}$

$3\sqrt{n} = 20*1.96$

$\sqrt{n} = \frac{20*1.96}{3}$

$(\sqrt{n})^{2} = (\frac{20*1.96}{3})^{2}$

$n = 170.7$

Rouding up

The sample size required is at least 171

5 0

3 years ago

Jill flipped a coin 40 times. The coin landed as heads 28 times and tails 12 times. Based on her results, which of the following

ella [17]

There are many conclusions we can come to for this!

70% of the flips were heads, and 30% are tails

28/40 was heads, and 12/40 were tails

There were more heads than tails

There were 14 more heads than tails

:)

8 0

3 years ago

Read 2 more answers