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STALIN [3.7K]
3 years ago
5

A jewelry maker needs 5 inch pieces of wire from sections that are each 4 feet in length. What is the greatest number of 5 inch

pieces of wire the jewelry maker can cut from 6 sections?
Mathematics
1 answer:
Damm [24]3 years ago
3 0

For this case we have that by definition:

1 foot equals 12 inches

Then, the sections measure:

1ft ------------> 12in

4ft ------------> x

Where "x" represents the inches of each section.

x = \frac {4 * 12} {1}\\x = 48

Thus, each section measures 48 inches.

If the pieces of wire to be removed must be 5 inches each, then from a section they are removed:

\frac {48} {5} = 9.6

Now, from each section you can remove 6 pieces of wire.

Then, from 6 sections, it takes 6 * 6 = 36 pieces of wire.

Answer:

36

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If the function f(x) = (2x - 3)2 is transformed to g(x) = (-2x - 3), which type of transformation occurred?
san4es73 [151]

Answer:

A. horizontal reflection

Step-by-step explanation:

Given:

f(x)=(2x-3)^2

g(x)=(-2x-3)^2

To identify the type of transformation.

Solution:

On close observation of the functions we find the that sign of x has changed in g(x) with other terms being constant.

<em>Thus, the transformation statement can be given as:</em>

f(x)\rightarrow f(-x)

As:

f(x)=(2x-3)^2

f(-x)=(2(-x)-3)^2= (-2x-3)^2 = g(x)

The transformation f(x)\rightarrow f(-x) describes horizontal reflection of function across the y-axis.

Thus, f(x)  is horizontally reflected across y-axis to get g(x).

8 0
3 years ago
What is the simplest form of 8/18 of a fraction?
Ilia_Sergeevich [38]

Answer:

As a fraction? If so, it would be 4/9.

Step-by-step explanation:

To find this answer, you must know that 8 and 18 can both be divided by 2. Which would be 4 and 9. Therefor, you have your answer: 4/9

5 0
3 years ago
Read 2 more answers
Describe the effect of each change on the perimeter or circumference and area of
True [87]

Answer:

wrong it is b*h/2

Step-by-step explanation:

7 0
2 years ago
What is the p-value? -- Researcher Jessie is studying how the fear of going to the dentist affects an adult's actual number of v
Vesnalui [34]

Answer:

Two, one for the 14 responses (number of visits) by the adults who fear going to the dentist and one for the 31 responses (number of visits) by the adults who do not fear going to the dentist.

Step-by-step explanation:

Hello!

1)

You want to test if the average visits to the dentist of people who fear to visit it are greater than the average visits of people that don't fear it.

In this case, the statistic to use is a pooled Student t-test. The reason I've to choose this test is that one of your sample sizes is small (n₁= 14) and the t-test is more accurate for small samples. Even if the second sample is greater than 30, if both variables are normally distributed, the pooled t-test is the one to use.

H₀: μ₁ = μ₂

H₁: μ₁ > μ₂

α: 0.10

t=<u> (X₁[bar]-X₂[bar]) - (μ₁ - μ₂)</u> ~ t_{n₁+n₂-2}

        Sₐ√(1/n₁+1/n₂)

Where

X₁[bar] and X₂[bar] are the sample means of both groups

Sₐ is the pooled standard deviation

This is a one-tailed test, you will reject the null hypothesis to big numbers of t. Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis), and in this case, is also one-tailed.

P(t_{n₁+n₂-2} ≥ t_{H0}) = 1 - P(t_{n₁+n₂-2} < t_{H0})

Where t_{H0} is the value of the calculated statistic.

Since you didn't copy the data of both samples, I cannot calculate it.

2)

Well there was one sample taken and separated in two following the criteria "fears the dentist" and "doesn't fear the dentist" making two different samples, so this is a test for two independent samples. To check if both variables are normally distributed you need to make two QQplots.

I hope it helps!

3 0
3 years ago
CAN YOU PLEASE HELP ME ASAP ITS DUE IN 10 MINS<br> I’ll mark you as a brainlist
lys-0071 [83]
Then answer is A because of how PR and QR are similar
8 0
3 years ago
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