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MAXImum [283]
3 years ago
14

The length of DE is 52 cm. What is the circumference of F

Mathematics
1 answer:
kap26 [50]3 years ago
8 0

Answer:

D

Step-by-step explanation:

The following ratios are equal in any circle

\frac{arc}{circumference} = \frac{angle atcentre}{360}

Substitute in given values and solve for C, the circumference

\frac{DE}{C} = \frac{60}{360} = \frac{1}{6}

Cross- multiplying

C = 6DE = 6 × 52 = 312 cm → D

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Determine the point estimate of the population proportion, the margin of error
ahrayia [7]

Answer:

\hat p=0.645\\\\ME=0.233\\\\x=645 \ individuals

Step-by-step explanation:

-Given the boundaries as 0.412 and 0.878

-\hat p is the point estimate for the population proportion and is calculated as follows:

\hat p=\frac{Upper \ Bound+Lower \ Bound}{2}\\\\=\frac{0.878+0.412}{2}\\\\=0.645\\\\

#The margin of error, ME can be calculated for the confidence intervals using the formula:

ME=\frac{Upper \ Bound-Lower \ Bound}{2}\\\\=\frac{0.878-0.412}{2}\\\\=0.233

#The number of individuals in the sample is the product of the point estimate and population size:

\hat p=\frac{x}{n}\\\\x=\hat pn\\\\=0.645\times 1000\\\\=645

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3 years ago
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Step-by-step explanation:

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2 years ago
Find the product -3,-4.-2.5
Assoli18 [71]

Answer:

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3 years ago
(01.06) Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 3x − 3 The function g
Damm [24]

Answer:

<h2>They both have the same slope</h2>

Step-by-step explanation:

The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.

given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;

mx = 3x

Divide through by x

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m = 3

Hence the slope of the function f(x)= 3x − 3 is 3.

For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;

m = Δy/Δx = y₂-y₁/x₂-x₁

From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5

m = 5-2/1-0

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Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.

<em>This shows that both functions have the same slope.</em>

3 0
3 years ago
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