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Evgen [1.6K]
3 years ago
10

What is -3/8 + 9/4

Mathematics
1 answer:
scoundrel [369]3 years ago
7 0
This is the answer 1.875
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Which of the following accurately shows the range of the function defined below?
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Answer: The answer is (b) (2, ∞)

Step-by-step explanation:  We are given a function f(x) in the figure and we are to select out of the given options that accurately shows the range of the function defined.

\textup{For }x < 0, \textup{we have}~f(x)=3.

\textup{For }0\leq x

\textup{For }x\geq 2,\textup{ we have }f(x)=\dfrac{1}{2}x+5\geq 5.

Therefore, the range of the function f(x) will be greater then or equal to 2. So, the range will be [2, ∞).

Thus, the correct option is (b) (2, ∞).

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3 years ago
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The expression mc031-1.jpggives the thickness in millimeters (mm) of the insulation needed for a high voltage cable. mc031-2.jpg
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Electric current is the movement of the electrons caused by potential difference. For example, in a circuit, the electrons in the bulb will not move without the potential difference or voltage. When there is voltage, electric current occurs because there is a driving force for the electrons in the wire to move.

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3 years ago
Divide 6.1 and 51.24
tatiyna

Answer:

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8 0
2 years ago
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construct a 90% confidence interval of the population proportion using the giver information x=74 n=150
FrozenT [24]

Answer:

The 90% confidence interval of the population proportion is (0.43, 0.56).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}

The information provided is:

<em>X</em> = 74

<em>n</em> = 150

Confidence level = 90%

Compute the value of sample proportion as follows:

\hat p=\frac{X}{n}=\frac{74}{150}=0.493

Compute the critical value of <em>z</em> for 90% confidence level as follows:

z_{\alpha/2}=z_{0.10/2}=z_{0.05}=1.645

*Use a <em>z</em>-table.

Compute the 90% confidence interval of the population proportion as follows:

CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.493\pm 1.645\times \sqrt{\frac{0.493(1-0.493)}{150}}\\\\=0.493\pm 0.0672\\\\=(0.4258,\ 0.5602)\\\\\approx (0.43,\ 0.56)

Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).

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3 years ago
Gerard is seven years older than his sister.when Gerard is ten how old will his sister be
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Answer:

3

Step-by-step explanation:

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