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S_A_V [24]
2 years ago
14

Tep 1:

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
6 0

The research shows that the name of the ferris wheel is <u>The London Eye</u> and the diameter of the wheel is 120m.

<h3>What is a research?</h3>

A research is simply carried out to get information about a particular topic or issue.

In this case, the research was conducted on the ferris wheel. The number of cars or compartments is 32.

The circumference of the wheel will be:

= 2πr

= 2π(120/2)

= 377m

The area of the wheel will be:

= πr²

= π(60²)

= 11310m²

The measure of a central angle in degrees will be:

= 360/32 = 11.25 degrees

The measure of a central angle in radians will be:

= 2π(11.25)/360

= 20 radians.

The arc length between two cars or compartments will be:

= 2π(60)(11.25)/360

= 11.78

The area of a sector between two cars or compartments will be:

= π(60²)(11.25)/360

= 353.43

An equation of a circle for your ferris wheel when the center of the ferris wheel is located at (0, 0) on a coordinate grid will be x² + y² = 3600.

Learn more about research on:

brainly.com/question/25257437

You might be interested in
I really need help with this question. Can I get a explanation too?
aniked [119]

Answer:

C

Step-by-step explanation:

Find the surface area:

Bottom base: 57 × 27 = 1,539

Top base: 21 × 27 = 567

Rectangular face: 23 × 27 = 621

Rectangular face: 23 × 27 = 621

Trapezoidal face: (21 + 57) ÷ 2 × 15 = 585

Trapezoidal face: (21 + 57) ÷ 2 × 15 = 585

1,539 + 567 + 621 + 621 + 585 + 585 = 4,518

The surface area is 4,518 square inches

3 0
3 years ago
The body temperatures of adults are normally distributed with a mean of 98.6degrees° F and a standard deviation of 0.60degrees°
Schach [20]

Answer:

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 98.6, \sigma = 0.6, n = 36, s = \frac{0.6}{\sqrt{36}} = 0.1

If 36 adults are randomly​ selected, find the probability that their mean body temperature is greater than 98.4degrees° F.

This is 1 subtracted by the pvalue of Z when X = 98.4. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{98.4 - 98.6}{0.1}

Z = -2

Z = -2 has a pvalue of 0.0228

1 - 0.0228 = 0.9772

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

6 0
3 years ago
Help i don’t get it
Sliva [168]

Answer:

2.2+3(3.4)

=2.2+10.2

=12.4

Step-by-step explanation:

3 0
3 years ago
A ferry takes several trips between points A and B. It moves at a constant speed of 0.35 miles/minute and takes the same route o
Fofino [41]

The answer is  -|0.35 t -14| +14

<u>Step-by-step explanation</u>:

The problem statement is asking for an expression for distance in miles, so the constants in the expression will be miles. In the time it takes to get to point B (40 minutes), the ferry has gone (0.35 mi/min)×(40 min) = 14 mi. Hence the maximum value of the function must be 14. The only function with that characteristic is the one of selection D.

7 0
3 years ago
Original:45 new:30 percent of change
Sveta_85 [38]

<u>Answer:</u>

<h2>-33.33%</h2>

<u>Explanation:</u>

30-45 = -15

percent of change = 100(-15/45) = -33.33%

6 0
3 years ago
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