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Oksana_A [137]
3 years ago
8

Roger has 2 1/2 cups of peanut butter. A recipe for a loaf of bread requires 3/4 cups of butter. How many loaves of bread can he

make?
Mathematics
1 answer:
Sergio [31]3 years ago
6 0

Answer:

3 loaves of bread

Step-by-step explanation:

We must divide 2\frac12 by \frac34 and take an integer part of this dividing.

2\frac12:\frac34=\frac52:\frac34=\frac52\cdot\frac43=\frac{20}{6}=\frac{10}3=3\frac13

The integer part of a mixed fraction 3\frac13 is 3, and this is the answer.

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviat
dimulka [17.4K]

As per the concept of normal distribution, the two diameters of the bolt that has separate the top 3% and the bottom 3% are 5.2836 mm and 5.0764 mm respectively .

Normal distribution:

Normal distribution means the probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean and it has the bell shaped curve.

Given,

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviation of 0.07 millimeters.

Here we need to find the two diameters that separate the top 3% and the bottom 3% and these diameters could serve as limits used to identify which bolts should be rejected. we have also round off the result into nearest hundredth.

Here we have the given question with the values of,

The value of Mean is 5.18 millimeters

The value of Standard deviation is 0.07 millimeters.

Here we have to consider the following two cases, they are.

Case 1

We need to find x₁ such that that is P(X > x₁) = 3% when we convert it into decimal then we get P (X > x₁) = 0.03

So, as per the probability,

P (X ≤ x₁) = 1 - 0.03 = 0.97

So, z corresponding to the value of p = 0.97 is 1.48

Apply the given values to the formula of normal distribution then we get,

=> 1.48 = (x₁ -  5.18) /0.07

=> 0.1036 = x₁ - 5.18

Therefore, the value of x₁ is  5.2836

So, the diameter of the both with separate top 3% is 5.2836.

Case 2:

Next we have to take P(X < x₂) = 3% when we convert it into decimal then we get P (X < x₂) = 0.03

So, as per the given probability, the value of

P (X ≤ x₂) = 1 - 0.03 = 0.97

So, z corresponding to but here we have to use the negative because of the less than concept p = 0.97 is -1.48

Apply the values on the formula of normal distribution then we get,

-1.48 = (x₂ -  5.18) /0.07

Move the value to the other side

-0.1036 = x₂ - 5.18

When we simplify it,

x₂ =  5.0764

So, the diameter of the both with separate bottom 3% is 5.0764

To know more about Normal distribution here.

brainly.com/question/12421652

#SPJ1

7 0
10 months ago
Graph (1,1), (1,2), (1,3), (1,4)
jenyasd209 [6]

Answer:

There is not a way that I can show you how to graph it, so I will try and explain it.

Step-by-step explanation:

(1,1)

^  ^     y-axis

x-axis

You are just going right however many, and then up however many it says.

So if it's (1,1) you will go right one space, and then up one space.

Once you have all of your points on the graph, you put a line through them.

Hope this helps! :)

3 0
2 years ago
Which equation will equal a rational number
Assoli18 [71]

The answer is c.4a4

6 0
3 years ago
Write an algebraic expression for product of 10 and the sum of x and 8
egoroff_w [7]
That would be the same as : 10 × (x + 8)

Okay, so it's asking for the product of 10, and the sum of 8 and k. Sum is the answer to an addition problem, so that would make the last of it 8 + k. And we'd be multiplying this with 10, so that would make it : 10 × (x + 8)
5 0
3 years ago
Sebastian measures a line to be 9.2 inches long. if the actual length of the line is 19.5 inches, then what was the percent erro
seraphim [82]

Answer:

47%

Step-by-step explanation:

9.2/19.5=0.47179

the number in the tenth place is 7 and It can´t be changed because 1 isn´t 5 or it also isn´t greater than 5.

4 0
2 years ago
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