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Mama L [17]
2 years ago
8

As part of a​ sixth-grade class​ project, the teacher brings to class a large jar containing 200 gumballs of two different​ colo

rs: red and green. Andy is asked to draw a sample of his own choosing and estimate the number of red gumballs in the jar. Andy draws a sample of 4040 ​gumballs, of which 88 are red and 3232 are green. Use​ Andy's sample to estimate the number of red gumballs in the jar.
Mathematics
1 answer:
Rudiy272 years ago
7 0

Answer:

There would be 40 red gumballs

Step-by-step explanation:

Since, out of 40 gumballs there are 8 red gumballs,

So, the ratio of red gumballs and total gumballs = \frac{8}{40}

=\frac{1}{5}

Now, let there are x red gumballs in 200 gumballs,

The ratio of red gumballs and total gumballs = \frac{x}{200}

\implies \frac{x}{200}=\frac{1}{5}

x =\frac{200}{5}=40

Hence, the possible number of red gumballs in the jar would be 40.

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the correct functions are

h(x) = 3x + 2

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case 1) k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + 2]-----------> is the option 4. k(x) = 2^(3x + 2 )

case 2) k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+2--------> is the option 1.) k(x) = 2^x + 3x + 4


case 3)k(x) = g(x) - h(x)

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3 years ago
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Answer:

b

Step-by-step explanation:

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4 0
2 years ago
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2. Twenty machines can embroider 1000 sweaters in 5 days.
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What is the solution of the system? Use substitution. y = x + 6 y = 2x
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3 years ago
A survey of 2306 adult Americans aged 18 and older conducted by Harris Interactive found that 417 have donated blood in the past
disa [49]

Answer:

a) p = 0.1808

b) Since 341.54 ≥ 10. Therefore the requirements for constructing a confidence interval  for p is satisfied.

c) The interval is (0.1676, 0.194)

d) We are 90% confident that the population proportion of adult Americans who have donated blood in the past two years is between 0.1676 and 0.194

Step-by-step explanation:

Given that:

n = 2306 and x =417

a)  Obtain a point estimate for the population proportion (p) is the ratio of sample successes to sample size.

Therefore: p = x / n = 417 / 2306 = 0.1808

p = 0.1808

b) requirements for constructing a confidence interval  for p is given by:

np(1-p) ≥ 10

Therefore: np(1-p) = 2306(0.1808)(1 - 0.1808) = 341.54 ≥ 10

Since 341.54 ≥ 10. Therefore the requirements for constructing a confidence interval  for p is satisfied.

c) c = 90% = 0.9

α = 1 - 0.9 = 0.1

α / 2 = 0.1 /2 = 0.05

From the probability table, z_{\frac{\alpha}{2} } = 1.645

Margin of error (e) = z_{\frac{\alpha}{2} } \sqrt{\frac{p(1-p)}{n} } =1.645* \sqrt{\frac{0.1808(1-0.1808)}{2306} }=0.0132

The boundaries are (p - e, p + e) = (0.1808 - 0.0132, 0.1808 + 0.0132) = (0.1676, 0.194)

The interval is (0.1676, 0.194)

d) We are 90% confident that the population proportion of adult Americans who have donated blood in the past two years is between 0.1676 and 0.194

6 0
3 years ago
Read 2 more answers
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