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Troyanec [42]
3 years ago
12

For the function f(x) = |2x-7| - 3 find f(2)

Mathematics
2 answers:
olasank [31]3 years ago
8 0
Evaluate abs(2 x - 7) - 3 where x = 2:abs(2 x - 7) - 3 = abs(2 2 - 7) - 3
2×2 = 4:abs(4 - 7) - 3
4 - 7 = -3:abs(-3) - 3
Since -3<=0, then abs(-3) = 3:3 - 3
3 - 3 = 0:Answer: 0
Grace [21]3 years ago
6 0
F(x)=[2x-7] -3
f(2)=[2(2)-7]-3
f(2)=[4-7]-3
f(2)=[-3]-3
f(2)= 3 -3  Remember absolute value is the distance from zero. No number will ever have a negative absolute value! :)
f(2)= 0 

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Graphic DesignWorks ships the T-shirts it makes in boxes that measure 20 in
dsp73

Answer: 416 boxes

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of each box and the volume of the storage space.

Since both are rectangular prisms:

Volume = length x width x height

Box of t -shirts = 20 x 16 x 12 = 3,840 cubic feet

Storage = 200 x 200 x 40 = 1,600,000 cubic feet  

Next, we have to divide the storage's volume by the volume of each box:

1,600,000 / 3,840 = 416.6 =416 boxes  

Feel free to ask for more if needed or if you did not understand something.

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3 years ago
What is the ratio of the surface areas of the similar square pyramids below?
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Step-by-step explanation:

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1 year ago
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Step-by-step explanation:

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2 years ago
A genetic experiment involving peas yielded one sample of offspring consisting of 437437 green peas and 129129 yellow peas. Use
navik [9.2K]

Answer:

The null hypothesis: \mathbf{H_o: p=0.27}

The alternative hypothesis: \mathbf{H_1: p \neq 0.27}

Test statistics : z = −2.30

P-value:  = 0.02144

Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.

Conclusion: We accept the alternative hypothesis and  conclude that under the same​ circumstances the proportion of offspring peas will be yellow is not equal to 0.27

Step-by-step explanation:

From the given information:

Let's state the null and the alternative hypothesis;

Since The claim is that 27%  of the offspring peas will be yellow.

The null hypothesis state that the proportion of offspring peas will be yellow is equal to 0.27.

i.e

\mathbf{H_o: p=0.27}

The alternative hypothesis  state that the proportion of offspring peas will be yellow is not equal to 0.27

\mathbf{H_1: p \neq 0.27}

<u>The test statistics:</u>

we are given 437 green peas and 129 yellow apples;

Hence;

\hat p = \dfrac{x}{n}

where ;

\hat p = sample proportion

x = number of success

n = total number of the sample size

\hat p = \dfrac{129}{437+129}

\hat p = \dfrac{129}{566}

\mathbf{\hat p = 0.2279}

Now; the test statistics can be computed as :

z = \dfrac { \hat p -p }{\sqrt {\dfrac{p(1-p)}{n}  } }

z = \dfrac {0.2279 -0.27 }{\sqrt {\dfrac{0.27(1-0.27)}{566}  } }

z = \dfrac {-0.043 }{\sqrt {\dfrac{0.27(0.73)}{566}  } }

z = \dfrac {-0.043 }{\sqrt {\dfrac{0.1971}{566}  } }

z = \dfrac {-0.043 }{\sqrt {3.48233216*10^{-4} } }

z = \dfrac {-0.043 }{0.01866} }

z = −2.30

C. P-value

P-value = P(Z < z)

P-value = P(Z< -2.30)

By using the ​ P-value method and the normal distribution as an approximation to the binomial distribution.

from the table of standard normal distribution

move left until the first column is reached. Note the value as –2.0

move upward until the top row is reached. Note the value as 0.30

find the probability value as 0.010724 by the intersection of the row and column values gives the area to the left of

z = -2.30

P- value = 2P(z ≤ -2.30)

P-value = 2 × 0.01072

P - value = 0.02144

Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.

Conclusion: We accept the alternative hypothesis and  conclude that under the same​ circumstances the proportion of offspring peas will be yellow is not equal to 0.27

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Many factors need to be considered when buying a car, including style, color, gas mileage, and cost. Examine these
loris [4]

Answer:c

Step-by-step explanation:

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