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Alex777 [14]
3 years ago
6

the location on point k is shown on the number line below. what fraction is represented by the location of point k

Mathematics
2 answers:
lawyer [7]3 years ago
8 0
Yeah, it’s 8 3/4 because k is on the 6 th line out of 8 and 6/8 equals 3/4
Xelga [282]3 years ago
7 0
The location of point K as a mixed number is 8 6/8 = 8 3/4 because there are 8 lines, and point K is on the 6th line.

Hope this helped☺☺
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The circumference of a circle varies directly as the diameter of a circle. When the diameter of a circle is 5, the circumference
Naya [18.7K]

Answer:

20.3 units

Step-by-step explanation:

Write and solve an equation involving ratios:

 5 units       15.7 units

------------- = ----------------

 9 units             C

Cross-multiplying, we get 5C = 9(15.7), with C measured in "units."

Then 5C = 141.3, so that C = 141.3 units   /   5   =   20.3 units.

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3 years ago
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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

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7 0
1 year ago
6. Polynomial Division<br> Divide. (3x4 – 3x3 – 6x –10) ÷ (x – 2)
vovangra [49]

Answer:

Quotient = -6

Remainder = -19

Step-by-step explanation:

(3*4 - 3*3 - 6x-10) / (x-2)

= (12 - 9 - 10 - 6x) / (x-2)

= (-6x -7) / (x-2)

Quotient = -6

Remainder = -19

7 0
3 years ago
The price of a certain new car increases by the same amount each year. The first year it was $23,000 in in the 10th year it was
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3450 is theeee answer!!!!!!!!!!!
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3 years ago
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An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
IgorLugansk [536]

Answer:

Do no reject null hypothesis.  

Conclusion:

there is no sufficient statistical evidence at 0.025 level of significance to support the claim.

Step-by-step explanation:

Given that;

mean x" = 5.4

standard deviation σ = 0.7  

n = 6

Null hypothesis H₀ : μ = 5.0  

Alternative hypothesis H₁ : μ > 5.0    

∝ = 0.025    

now,

t = ( 5.4 - 5.0) / ( 0.7/√6) = 0.4 / 0.2857 = 1.4

degree of freedom df = n-1 = 6 - 1 = 5

T critical = 2.571

Therefore; t < T critical,

Do no reject null hypothesis.  

Conclusion:

there is no sufficient statistical evidence at 0.025 level of significance to support the claim.

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3 years ago
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