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2 years ago

Which situation is best represented by the following equation? 11h+40=458

Mathematics

1 answer:

grin007 [14]2 years ago

7 0

Answer:

Step-by-step explanation:

11 would equal how much he gets 11 per hour, and then a forty dollar bonus and the total equals 458.

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Find the midpoint between each pair of points. (-1,-5) and (-5,9)

Paul [167]

Answer:

work is pictured and shown

4 0

1 year ago

A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts

masha68 [24]

Answer:

626 and 654

Step-by-step explanation:

Given that a television sports commentator wants to estimate the proportion of citizens who "follow professional football."

Part I:

p = 0.48

$q=1-p = 0.52\\se = \sqrt{\frac{pq}{n} } \\\frac{0.4996}{\sqrt{n} } =$

Margin of error = $2.045*\frac{0.4996}{\sqrt{n} }626$

Sample size should be >626

Part II:

If unknown we take p = 0.5 because maximum std error for this

Here everything would be the same except insted of 0.48 we use 0.5

Margin of error = $2.045*\sqrt{\frac{0.5}{\sqrt{n} } } 654$

-------------------------

a and b are too close because 0.46 proportion is close to part b proporti0n 0.5

4 0

2 years ago

a five foot boy casts a 2 foot shadow. At the same time the shadow of the court house tower is 25 feet in length. How tall is th

erastovalidia [21]

Answer:

The court house tower should be 51 feet tall.

Step-by-step explanation:

2.5+2.5=5 feet because 2+2=4 and 0.5+0.5=1. 4+1=5

25.5+25.5=51 because 25+25=50 and 0.5+0.5=1. 50+1=51

7 0

1 year ago

Read 2 more answers

An increase in walking has been shown to contribute to a healthier life-style. A sedentary American takes an average of 5000 ste

Zielflug [23.3K]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 5000

For the alternative hypothesis,

H1: µ > 5000

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 5000

x = 5430

σ = 600

n = 40

z = (5430 - 5000)/(600/√40) = 4.53

Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.

6 0

1 year ago

A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 Miles. What

MakcuM [25]

Answer:

The actual area 21600 miles²

Step-by-step explanation:

* Lets explain how to solve the problem

- A drawing that shows a real object with accurate sizes reduced or

enlarged by a certain amount called the scale

- Drawing scale is a ratio between the drawing length and the

actual length

- To find the actual dimensions from the drawing dimensions use the

scale drawing

* Lets solve the problem

- A map of a rectangular park has a length of 4 inches and a width

of 6 inches

∴ The drawing dimensions are:

# length = 4 inches

# width = 6 inches

- The scale of the map is 1 inch foe every 30 miles

∴ The scale drawing is 1 : 30

- To find the actual area find the actual dimensions

∵ The scale drawing is 1 : 30

∵ The length = 4 inches and the width = 6 inches

- By using cross multiplication

∴ 1 : 30

4 : actual length

6 : actual width

∴ Actual length = (4 × 30)/1 = 120

∴ Actual length = 120 miles

∴ Actual width = (6 × 30)/1 = 180

∴ Actual Width = 180 miles

∴ The actual dimensions are 120 miles and 180 miles

∵ The area of any rectangle = length × width

∴ The actual area = 120 × 180 = 21600

∴ The actual area 21600 miles²

5 0

2 years ago