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3 years ago

12

a bathtub mat is in the shape of a semicircle. the straight side of the mat is 24 in. What is the perimeter of the mat in terms

of pi? Round to the nearest thousand

1 answer:

matrenka [14]3 years ago

5 0

24 x 3.14= 75.36
75.36÷2=37.68

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The standard deviation of the sampling distribution of the sample mean is $115,000. The population standard deviation was $25,00

Zina [86]

Answer:

0.31084

Step-by-step explanation:

When given a question where by a random sample is chosen for the population, the z score formula used =

z = (x-μ)/Standard error

where x is the raw score

μ is the population mean

Standard error = σ/√n,

σ is the population standard deviation

n = number of samples

For x = $114,000, μ = $115,000, σ = 25,000, n = 100

z = (x-μ)/Standard error

= z = (x-μ)/ σ/√n

z = 114,000 - 115,000/ 25,000/√100

= -1000/25,000/10

= -1000/2500

z = -0.4

Determining the probability value from Z-Table:

P(x = 114000) = P(z = -0.4)

= 0.34458

For x = $116,000, μ = $115,000, σ = 25,000, n = 100

z = (x-μ)/Standard error

= z = (x-μ)/ σ/√n

z = 116,000 - 115,000/ 25,000/√100

= 1000/25,000/10

= 1000/2500

= 0.4

Determining the Probability value from Z-Table:

P(x = 116000) = P(z = 0.4)

= 0.65542

The probability that the sample mean selling price was between $114,000 and $116,000 is calculated as

= P(114,000< x < 116,000)

= P(-Z<x<Z)

= P(-0.4<x< 0.4

= 0.65542 - 0.34458

= 0.31084

Therefore, the probability that the sample mean selling price was between $114,000 and $116,000 is 0.31084

5 0

3 years ago

What decimal is equivalent to the fraction and percent below?

REY [17]

.10 if it’s out of 1

6 0

3 years ago

Read 2 more answers

Please help, seriously confused

Rufina [12.5K]

Original height = original width = x mm

1. She made an enlarged copy...
height = 2x
width = 2x

2. She cut off a rectangle...
height = 2x
width = $\frac{2}{3} *2x= \frac{4}{3}x$

3.She doubled the width...
height = 2x
width = $2*\frac{4}{3}x = \frac{8}{3}x$

height * width = area

$2x * \frac{8}{3}x=139 \ 968 \\ \\ \frac{16}{3}x^2= 139 \ 968 \\\\ x^2=139 \ 968: \frac{16}{3}=139 \ 968 * \frac{3}{16}= 8 \ 748*3 = 26 \ 244 \\ \\ x= \sqrt{26 \ 244} = 162 \ mm$

Original height was 162 mm

6 0

3 years ago

In my carpenter shop I make 3 legged stools and 4 legged chairs. I looked at my days output and counted 55 legs and 16 seats. Ho

Stells [14]

$x-number\ of\ stools\\y-number\ of\ chairs\\\\ \left \{ {{y+x=16} \atop {3x+4y=55}} \right. \\\\From\ first\ equation:\\\\y=16-x\\\\Substract\ to\ second\ equation:\\\\3x+4(16-x)=55\\3x+64-4x=55\\3x-4x=55-64\\-x=-9\\x=9\\\\y=16-9=7\\\\ \left \{ {{y=7} \atop {x=9}} \right.$

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3 years ago

How many solutions does the equation y=3x have?

Butoxors [25]

Answer:

1 solution

Step-by-step explanation:

If you were to graph this line it would be a straight line so there is 1 solution.

y=3x

x=y/3

7 0

2 years ago