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3 years ago

1. A 42 inch television is 40.6 inches wide. Using the diagram below, determine the

Mathematics

1 answer:

sveticcg [70]3 years ago

6 0

Answer:

184.85 square mm

Step-by-step explanation:

The area of a sector of a circle is , where r is the radius and is the angle in radians subtended by the arc at the centre of the circle.

Since, diameter = 40.6 mm

So, radius(r)=20.3 mm and = radians

So, area of sector=

Step-by-step explanation:

You might be interested in

A four person relay team completed a race in 72.4 seconds. On average what was each runner's time?

aleksley [76]

Each runners time would be an average of 18.1
72.4/4=18.1

4 0

3 years ago

The population of a pigeons in a city is 100 and is growing exponentially at 20% per year. Write a function to represent the pop

NikAS [45]

Answer:

p(t) = 100×1.0153^(12t)
1.53% per month

Step-by-step explanation:

In general, the function will be written ...

p(t) = (initial value)×(growth factor)^t

where t is in units comparable to those applicable to the growth factor. The growth factor is found from ...

growth factor = 1 + growth rate

Here, the growth rate is given as 20% per year, so the growth factor per year is ...

1 +20% = 1.20

The initial value is given as 100, so we can write the exponential function as ...

p(t) = 100×1.20^t

The time period units for t are supposed to be years, but we want to find the growth rate for a month. We can do that by recognizing there are 12 months in a year. In the above equation, we can use (1/12)(12t) in place of t, then figure the growth factor (and growth rate) per month.

p(t) = 100×(1.20^(1/12))^( 12t)

p(t) = 100×1.0153^(12t) . . . . population exponential function

This shows the monthly growth factor is 1.0153, so the monthly rate of change (growth rate) is ...

1.0153 -1 = 0.0153 = 1.53% . . . . monthly rate of change

5 0

2 years ago

Read 2 more answers

Tema [17]

Maybe B (not sure).................

5 0

3 years ago

What part of the circumference is an arc whose measure is 30°?<br> 1/12<br> 1/10<br> 1/8<br> 1/6

GrogVix [38]

Answer:

1/12

Step-by-step explanation:

The whole circumference (i.e complete circle) is an arc which measures 360°

in our case, it is given that our arc measures only 30°

the fraction of our arc of 30° to the complete circle of 360° is

30/360

= 3/36

= 1/12

5 0

3 years ago

1. A new brand of hot dog claims to have a lower sodium content than the leading brand.

kherson [118]

Answer:

(a) Population mean = 314.5mg

(b) Margin of error = 21.281mg

The new brand of hot dog has a lower sodium content on average than the leading brand

(d) Yes

Step-by-step explanation:

(a) Population mean = (370+326+322+297+326+289+293+264+327+331)/10 = 3145/10 = 314.5mg

(b) Margin of error = t×sd/√n

sd = 29.73, n = 10, degree of freedom = n-1 = 10-1 = 9

Assuming 95% confidence level

t-value corresponding to 9 degrees of freedom and 95% confidence level is 2.262

Margin of error = 2.262×29.73/√10 = 21.281mg

Lower limit of new brand = 314.5 - 21.281 = 293.219mg

Upper limit = 314.5 + 21.281 = 335.781mg

The range of sodium content for the new brand of hot dog is between 293.219mg and 335.781mg which is lower than the leading brand (350mg)

(d) Margin of error = t×sd/√n

From the formula above, margin of error varies inversely as the square root of sample size

The smaller the sample size (n = 10) the larger the margin of error and the less accurate is the population mean

The larger the sample size (n = 40) the smaller the margin of error and the more accurate is the population mean

8 0

3 years ago