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4 years ago

8

Tom is looking at a map of the theme park. The map is laid out in a coordinate system Tom is at (2,3) the roller coaster is at (

7,8) and the water ride is (9,1) is Tom closer to the roller coaster or the water ride

1 answer:

Butoxors [25]4 years ago

5 0

Answer:

Water Slide

Step-by-step explanation:

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X-y<3<br> How I can solve this inequality?

Reil [10]

X-y<3
-x -x
______
-y<-x+3
_________
-1

The answer is y>x-3

4 0

3 years ago

There are 131 students at a small school and 35 of them are freshmen. What fraction of the students are freshmen?

IrinaK [193]

Answer:

35/131

Step-by-step explanation:

Since 35 out of 131 students are freshmen, the fraction would be:

35/131

<em>I hope this helps! :)</em>

6 0

3 years ago

A large random sample was taken of body temperatures of women at a university. The data from the sample were normally distribute

ivanzaharov [21]

The best estimate of the proportion of all women at this university who have a body temperature more than 2 standard deviations above the mean is 2.28%.

Since the sample is normally distributed and has a mean μ = 98.52 F and a standard deviation, σ = 0.727 F and we need to find the percentage of all womenat this university who have a body temperature more than 2 standards deviations above the mean.

<h3>The normal distribution</h3>

Since the sample is normally distributed, 50% of the sample is below the mean. We have 34% of the sample at 1 standard deviation away from the mean and 47¹/₂% at 2 standard deviations above the mean.

<h3>Percentage below 2 standard deviations away from mean</h3>

So, the percentage below 2 standard deviations from the mean is 50% + 47¹/₂% = 97¹/₂%.

<h3>Percentage above 2 standard deviations away from mean</h3>

So, the percentage above 2 standard deviations from the mean is 100% - 97¹/₂% = 2¹/₂% = 2.5 %

Since 2.28 % is the closest to 2.5 % from the options, the best estimate is 2.28 %.

So, the best estimate of the proportion of all women at this university who have a body temperature more than 2 standard deviations above the mean is 2.28%.

Learn more about normal distribution here:

brainly.com/question/25800303

6 0

2 years ago

A disc has a diameter of centimeters while a mini disc has a diameter of centimeters. Write the ratio of the mini disc diameter

Dafna1 [17]

Answer:

2 : 3

Step-by-step explanation:

A disc has a diameter of 21 cm while a mini disc has a diameter of 14cm. Write the ratio of the mini disc diameter to the disc diameter.

Answer: Let the diameter of the mini disc be $d_1$ while the diameter of the disc be $d_2$ . To get the ratio of the mini disc diameter to the disc diameter, we just simply have to divide the diameter of the mini disc by the diameter of the disc and then represent the fraction in ratio form. The ratio of the disc diameters is given by:

Ratio of the mini disc diameter to the disc diameter = Diameter of mini disc / diameter of disc

Ratio of the mini disc diameter to the disc diameter = $\frac{14}{21}=\frac{2}{3}$

Ratio of the mini disc diameter to the disc diameter = 2 : 3

3 0

3 years ago

11 The net force on a vehicle that is accelerating at a rate of 1.5 m/s² is 2,800 newtons. What is

ololo11 [35]

Answer:

$Mass = 1867kg$

Step-by-step explanation:

Given

$Force = 2800N$

$Acceleration = 1.5m/s^2$

Required

Determine the mass of the vehicle

This question will be answered using Newton's second law

$Force = Mass * Acceleration$

Substitute values for Force and Acceleration

$2800 = Mass * 1.5m/s^2$

Make Mass the subject

$Mass = \frac{2800N}{1.5m/s^2}$

$Mass = 1866.6667kg$

$Mass = 1867kg$ ---- approximated

<em>Hence, the mass of the vehicle is 1867kg</em>

4 0

3 years ago