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2 years ago

Evaluate f(t)=-2t2+ 1 for f(-3).

Mathematics

1 answer:

podryga [215]2 years ago

3 0

Answer:

Step-by-step explanation:

First, plug-in f(-3) into t in the function:

$f(-3)=-2(-3) +1$

Second, multiply -2 and -3 to get 6:

$f(-3)=-2(-3)+1$ ⇒ $f(-3)=6+1$

Third, add 6 and 1 to get your answer:

$f(-3)= 6+1$ ⇒ $f(-3)=7$

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In remodeling a kitchen, a builder decides to place a splash-guard behind the sink consisting of eight 6-inch-square ceramic til

oksano4ka [1.4K]

Answer:

(a) 0.4242

(b) 0.0707

Step-by-step explanation:

The total number of ways of selecting 8 herbs from 12 is

$\binom{12}{8}=495$

(a) If 2 herbs are selected, then there are 8 - 2 = 6 herbs to be selected from 12 - 8 = 10. The number of ways of the selection is then

$\binom{10}{6}= 210$

Note that this is the number of ways that both are included. We would have multiplied by 2! if any of them were to be included.

The probability = $\dfrac{210}{495}=0.4242$

(b) If 5 herbs are selected, then there are 8 - 5 = 3 herbs to be selected from 12 - 5 = 7. The number of ways of the selection is then

$\binom{7}{3}= 35$

This is the number of ways that both are included. We would have multiplied by 5! if any of them were to be included. In that case, our probability will exceed 1; this implies that certainly, at least, one of them is included.

The probability = $\dfrac{35}{495}=0.0707$

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2 years ago

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agasfer [191]

Answer:

The sample proportion from the sample of 900 is more likely to be close to the true population proportion, p.

Step-by-step explanation:

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2 years ago

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bogdanovich [222]

Answer:

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Step-by-step explanation:

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2 years ago

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Expand (x-3)(x-8) to form a quadratic expression

AlladinOne [14]

Answer:

x^2 - 11x + 24

Step-by-step explanation:

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2 years ago

(2/5,-2/5),(-7/8,-3/5)

Misha Larkins [42]

Answer: (-19/80, -1/2)

Step By Step Explanation:

First you want to do 2/5 - 7/8. Once you get -19/40, you want to divide it by 2. After doing this step, you will get -19/80. Next, you want to do the same thing with the other one. -2/5 -3/5 or 2/5+3/5 except the answer will be negative. Now you get -1/2. Therefore, the answer is (-19/80, -1/2). Sorry if my explanation is trashy.

3 0

3 years ago