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Lesechka [4]
3 years ago
10

Biologists studying horseshoe crabs want to estimate the percent of crabs in a certain area that are longer than 35 centimeters.

The biologists will select a random sample of crabs to measure.
Which of the following is the most appropriate method to use for such an estimate?
A. A one-sample z-interval for a population proportion
B. A one-sample z-interval for a sample proportion
C. A two-sample z-interval for a population proportion
D. A two-sample z-interval for a difference between population proportions
E. A two-sample z-interval for a difference between sample proportions
Mathematics
1 answer:
natima [27]3 years ago
3 0

Answer:

B. A one-sample z-interval for a sample proportion

Step-by-step explanation:

In this experiment we are only given the sample. Neither the population nor the two samples nor difference between two samples is given .

So we are left only with the option B which satisfies the required conditions.

We will estimate the sample proportion and then perform, the test.

The test are performed on the basis of the statistics given.

We have the sample and the proportion that it is not longer than 35 centimeters.

Therefore option B is the correct choice.

B. A one-sample z-interval for a sample proportion

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Triangle L M Q is cut by perpendicular bisector L N. Angle N L Q is 32 degrees and angle L M N is 58 degrees.
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Yes

Step-by-step explanation:

ΔMNL ≅ ΔQNL  by ASA or AAS

by ASA

Proof:

∠ LNM = ∠LNQ    =90

LN = LN   {Common}

∠MLN = ∠QLN     {LN bisects ∠ L}

By AAS

∠Q + ∠QLN + ∠LNQ = 180  {Angle sum property of triangle}

∠Q + 32 + 90 = 180

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∠Q = 180 -122 =

∠Q = 58

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8 0
4 years ago
Which quotient is reasonable? Do not perform the division. 7315 ÷ 12 A. 6 R 9 B. 60 R 9 C. 609 D. 6,009
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Answer:

C. 609

Step-by-step explanation:

In the question, 4-digits number were given to be divided by a 2-digits number. Without performing the division, it is only reasonable to say that the quotient will be a 3-digits number.

In the given options, the only 3-digits number is 609

Also, you can multiply 609 by 12 to check how reasonable your guess is.

⇒ 609 x 12 = 7308

The difference between 7315 and 7308 is 7.

The remaining number (7) is not up to 12 and when 7 is divided by 12 it will not give a whole number digit.

Therefore, the only reasonable quotient in the given options is 609.

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