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2 years ago

9

Tyler made a scale drawing of his apartment. The scale is 1 millimeter: 2 meters. The living room is 6 meters long in real life.

How long is the living room on the drawing in millimeters?

1 answer:

larisa86 [58]2 years ago

6 0

Answer:

Step-by-step explanation:

6/2 = 3

3:6 =

1:2

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The diameter of circle X is 15 centimeters. The diameter of circle Y is 20 centimeters. Which measurement is closest to the diff

valina [46]

The difference between the circumference of circle X and circumference of circle Y is 5π cm.

<h3>What is circumference of a circle?</h3>

This is the distance round a circle.

The circumference of circle X is calculated as follows;

$C_X = \pi d\\\\
C_X = 15\pi \ cm$

The circumference of circle Y is calculated as follows;

$C_Y = \pi d\\\\
C_Y = 20 \pi \ cm$

The difference between the circumference of circle X and circumference of circle Y is calculated as follows;

$C_Y - C_X = 20\pi - 15 \pi = 5\pi \ cm \\\\
$

Thus, the difference between the circumference of circle X and circumference of circle Y is 5π cm.

Learn more about circumference of a circle here: brainly.com/question/9782777

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2 years ago

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450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (

umka21 [38]

Answer:

The margin of error is of 0.01.

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:

$\alpha = \frac{1 - 0.7}{2} = 0.15$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.15 = 0.85$ , so Z = 1.037.

The margin of error is of:

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

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

Standard deviation was 0.21.

This means that $\sigma = 0.21$

Sample of 450:

This means that $n = 450$

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

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

$M = 1.037\frac{0.21}{\sqrt{450}}$

$M = 0.01$

The margin of error is of 0.01.

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3 years ago

A $830 iphone has a 20%

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Answer:

$614.2

Step-by-step explanation:

Um I just calculated it. I'm in Algebra 2 so it's light work

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2 years ago

Which scatterplot shows the strongest negative linear correlation

Andreyy89

Answer:it’s c

Step-by-step explanation:

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3 years ago

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The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 45% of adult Australian s

ArbitrLikvidat [17]

Answer:

Probability of more than 9 adult Australian sheep dogs out of 12 weighing 65 lb or more

P(X > 9) = 0.00788

Step-by-step explanation:

The only assumption required for the question is that all 12 adult dogs sampled must all be Australian sheep dogs.

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of adult dogs to be sampled = 12

x = Number of successes required = number of dogs that weigh 65 lb or more

= more than 9; >9

p = probability of success = probability of a dog weighing 65 lb or more = 0.45

q = probability of failure = probability of a dog NOT weighing 65 lb or more = 1 - 0.45 = 0.55

P(X > 9) = P(X=10) + P(X=11) + P(X=12)

Solving each of these probabilities, using the binomial distribution formula

P(X = x) = ¹²Cₓ (0.45)ˣ (0.55)¹²⁻ˣ with x = 10, 11 and 12

P(X > 9) = P(X=10) + P(X=11) + P(X=12)

= 0.00679820806 + 0.00101130368 + 0.00006895252

= 0.00787846427

= 0.00788 to 3 s.f

Hope this Helps!!!

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3 years ago

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