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3 years ago

Write the equation of the circle in standard form: Center (7,0) R=1

Mathematics

1 answer:

Mice21 [21]3 years ago

8 0

Answer:

$(x-7)^2+y^2=1$

Step-by-step explanation:

Hi there!

Equation of a circle: $(x-h)^2+(y-k)^2=r^2$ where the circle is centered at (h,k) and the radius is r

1) Plug in the given center (7,0)

$(x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2$

2) Plug in the radius (1)

$(x-7)^2+y^2=1^2\\(x-7)^2+y^2=1$

I hope this helps!

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According to a research center, 16% of all merchandise sold in a particular country gets returned. A department store in a certa

Mamont248 [21]

Answer:

a) point estimate of the proportion of items returned for the population of sales transactions at the store in the given city

Point estimate = 0.3

b) The 95% confidence interval for the proportion of returns at the store in the given city

( 0.19958,0.40042)

Step-by-step explanation:

Given the Population proportion 'P'= 16% = 0.16

Given data a department store in a certain city sampled 80 items sold in January and found that 24 of the items were returned

The sample proportion $p = \frac{x}{n}$

here x =24 and n = 80

The sample proportion $p = \frac{x}{n} = \frac{24}{80} = 0.3$

a) Point estimate:-

A point estimate of the true proportion P

Point estimate = $p = \frac{x}{n}$

point estimate of the proportion of items returned for the population of sales transactions at the store in the given city

$p = \frac{x}{n} = \frac{24}{80} = 0.3$

b) The 95% confidence interval for the proportion

The 95% confidence interval for the proportion of returns at the store in the given city

$(p - z_{\alpha } \sqrt{\frac{p(1-p)}{n} } , p + z_{\alpha }\sqrt{\frac{p(1-p)}{n} } )$

substitute all values we get ,

$(0.3 - 1.96 \sqrt{\frac{0.3(1-0.3)}{80} } , 0.3 + 1.96\sqrt{\frac{0.3(1-0.3)}{80} } )$

on simplification, we get

(0.3-0.10042 ,0.3+0.10042)

( 0.19958,0.40042)

Conclusion:-

a) point estimate of the proportion of items returned for the population of sales transactions at the store in the given city

Point estimate = 0.3

b) The 95% confidence interval for the proportion of returns at the store in the given city

( 0.19958,0.40042)

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4 years ago

Find the area and the circumference of a circle with radius 3 m. Use the value 3.14 for π, and do not round your answers. Be sur

Gennadij [26K]

Circumference: 18.84 m

Area: 28.26 $m^{2}$

Explanation

For circumference, use the formula $\pi$ *d, where d=the diameter(the radius times 2).

For area, use the formula $\pi$ $r^{2}$ , where r=the radius. Make sure to square the radius first before multiplying by pi!

A good way to remember these formulas is Cherry(circumference) Pi( $\pi$ ) is Delicious(diameter) and Apple(area) $\pi$ $r^{2}$ ("are too")

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3 years ago

What is the slope of the equation y = 5x - 7? o -7 o 7.

Cerrena [4.2K]

Answer:

slope = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x - 7 ← is in slope- intercept form

with slope m = 5

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3 years ago

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Lyrx [107]

X/8=15/12
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3 years ago

What graph shows the solutuion set of the inequality 2.9(x+8) <26.1

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Look at the picture.

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3 years ago