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Advocard [28]
4 years ago
8

1. What is the relationship between the function's equation and

Mathematics
1 answer:
g100num [7]4 years ago
7 0

Answer:

If a > 0 (positive), then the parabola opens upward and the graph has a minimum at its vertex. If a < 0 (negative), then the parabola opens downward and the graph has a maximum at its vertex.

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Which of the following will form the composite function G(F(x)) shown
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4 0
3 years ago
A new pencil is 19 centimeters long. Levi uses it for a month. The pencil now measures 8 centimeters.
pogonyaev

Answer:

11 cm

Step-by-step explanation:

Given:

Length of new pencil = 19 cm

Length of pencil after using a month = 8 cm

Question asked:

The pencil is centimeters shorter now than when it was new = ?

Solution:

Length of new pencil = 19 cm

Length of pencil after using a month =  8 cm

The pencil is centimeters shorter now than when it was new = 19 cm -  8 cm

                                                                                                     = 11 cm

Length of pencil has been used during a month = 11 cm

8 0
4 years ago
A bakery sold 275 mocha cupcakes in a day, which was 55% of the total number of
Morgarella [4.7K]

Answer:

151 cupcakes

Step-by-step explanation:

4 0
3 years ago
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According to Scarborough Research, more than 85% of working adults commute by car. Of all U.S. cities, Washington, D.C., and New
tamaranim1 [39]

Answer:

The 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).

Step-by-step explanation:

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

CI=\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

Here the population standard deviation (σ) is not provided. So the confidence interval would be computed using the <em>t</em>-distribution.

The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) using the <em>t</em>-distribution is:

CI=\bar x\pm t_{\alpha /2,(n-1)}\frac{s}{\sqrt{n}}

Given:

\bar x=27.97\\s=10.04\\n=25\\t_{\alpha /2, (n-1)}=t_{0.01/2, (25-1)}=t_{0.005, 24}=2.797

*Use the <em>t</em>-table for the critical value.

Compute the 99% confidence interval as follows:

CI=27.97\pm 2.797\times\frac{10.04}{\sqrt{25}}\\=27.97\pm5.616\\=(22.354, 33.586)\\\approx(22.35, 33.59)

Thus, the 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).

8 0
3 years ago
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