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2 years ago

Use The Scale Factor 1:12 To Find The Missing Dimension

Mathematics

1 answer:

adell [148]2 years ago

6 0

Answer:

The length of the model is 21 inches

Step-by-step explanation:

we have

The scale factor

$\frac{1}{12}$

That means

1 unit in the model represent 12 units in the actual

1 inch in the model represent 12 inches in the actual

Remember that

$1\ ft=12\ in$

1 inch in the model represent 1 ft in the actual

The scale factor is

$\frac{1}{1}\ \frac{in}{ft}$

therefore

21 ft in the actual represent 21 inches in the model

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A line passes through the point (0,6) and is parallel to the line with the equation y =

Tresset [83]

Answer:

First option is the correct choice.

Step-by-step explanation:

y - 6 = 1/5 x + 0

y = 1/5x + 6

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2 years ago

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Mileage tests are conducted for a particular model of automobile. If a 98% confidence interval with a margin of error of 1 mile

Llana [10]

Answer: 37

Step-by-step explanation:

Given : Significance level : $\alpha:1-0.98=0.02$

Critical value : $z_{\alpha/2}=z_{0.01}=2.33$

margin of error : E= 1 mile per gallon

Population standard deviation: $\sigma=2.6$ miles per gallon.

We know that when the population standard deviation is known then the formula to find the sample size is given by :

$n=(\dfrac{z_{\alpha/2}\times \sigma}{E})^2$

$n=(\dfrac{(2.33)\times 2.6}{1})^2=36.699364\approx37$ [Round to the next whole number.]

Hence, the required number of automobiles should be used in the test = 37

7 0

3 years ago

PLEASE ANSWER ASAP Which function has a constant additive rate of change of –1/4?

Hatshy [7]

Answer:

the first graph

Step-by-step explanation:

The first one - y = 1/4x + 3/2.

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2 years ago

Whenever the population standard deviation is unknown, which distribution is used in developing an interval estimate for a popul

r-ruslan [8.4K]

Answer:

The t-distribution is used.

Step-by-step explanation:

When we dont know the standard deviation of the population, we use the t-distribution(t-table).

Otherwise, the z-distribution(z-table) is used.

So the answer to this question is the t-distribution.

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2 years ago

8. The Last Supper

Salsk061 [2.6K]

The number of possible seats is an illustration of permutation

There are 1728 possible sitting arrangements

<h3>How to determine the number of seats</h3>

From the question, we have the following highlights:

Chris can only take 1 seat (i.e. the central seat)
Jo can take 2 seats (i.e. the seats adjacent the central seat)
Alex, Barb and Dave can take 3! number of seats
Eddie, Fred, and Gareth can take 3! number of seats on the right of Chris.
The remaining 4 adults do not have preference, then they can seat in 4! ways

So, the number of sitting arrangement is:

$n = 1 * 2 * 3! * 3! * 4!$

Evaluate the product

$n = 1728$

Hence, there are 1728 possible sitting arrangements