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2 years ago

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A scientist is studying tulips and daffodils. The scientist estimates that there are 150 tulips in the population of 600 tulips

and daffodils. He chooses flowers from random parts of the garden to study. Which best explains how he can choose a random sample of flowers to represent the population? He can choose 50 flowers. He can choose 25 tulips and 25 daffodils. He can choose 15 tulips and 60 daffodils. He can choose 10 tulips and 30 daffodils.

2 answers:

Goshia [24]2 years ago

5 0

Answer: D. He can choose 10 tulips and 30 daffodils.

Flauer [41]2 years ago

4 0

Answer: Last Option is correct.

Step-by-step explanation:

Since we have given that

Total number of tulips and daffodils = 600

Number of tulips = 150

Number of daffodils is given by

$600-150\\\\=450$

So, We can get the ratio of tulips to daffodils which is given by

$Tulips:Daffodils\\\\150:450\\\\1:3$

So, we need to choose a random sample of flowers to represent the population.

1) He can choose 50 flowers.

As there are 1:3 of tulip and daffodils flowers but if we divide 50 by 4 it will give a decimal number, so it can't represent the required thing.

2) He can choose 25 tulips and 25 daffodils

As they are divided into 1:1 so, it can't represent the 1:3 tulip to daffodils population.

3) He can choose 15 tulips and 60 daffodils

As it is divided into 1:4 inspite of 1:3.So it can't represent the required population.

4) He can choose 10 tulips and 30 daffodils.

So, Last option which states that he can choose 10 tulips and 30 daffodils as in this case the ratio of tulips to daffodils is 1:3.

Hence, Last Option is correct.

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Answer:

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Step-by-step explanation:

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The x-intercept of the dashed line A is (-4.5,0)

$y\leq -\frac{1}{3}x+2$ ----> inequality B

The solution of the inequality B is the shaded area below the solid line $y=-\frac{1}{3}x+2$

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The solution of the system of inequalities is the shaded area between the shaded line and the solid line

using a graphing tool

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Leah borrows £10,000 over 5 years at a simple interest rate of 15%.

Fynjy0 [20]

Answer:

She will pay $7,500 interest over the 5 years

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Step-by-step explanation:

Let us revise the rule of the simple interest

<em>I</em> = <em>Prt</em> and <em>A</em> = <em>P</em>(1 +<em> rt</em>) , where:

A = Total Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

r = Rate of Interest per year in decimal

t = Time Period involved in months or years

∵ Leah borrows £10,000 over 5 years at a simple interest rate of 15%.

∴ P = 10,000

∴ t = 5

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→ Substitute them in the first rule to find the interest

∵ I = 10,000(0.15)(5)

∴ I = 7,500

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Step-by-step explanation:

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VARVARA [1.3K]

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