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pantera1 [17]
3 years ago
13

A graph in the form y = ax2 will have a vertex at __

Mathematics
2 answers:
alex41 [277]3 years ago
6 0

Answer: For a given quadratic y = ax2 + bx + c, the vertex (h, k)

Step-by-step explanation:

pychu [463]3 years ago
3 0

A graph in the form y = ax2 will have a vertex at h, k.

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F(a) = 2a - 1<br> g(a) = 4a 1<br> Find f(a) + g(a)<br> 6a + 2<br> O 6a-2<br> Oa+2<br> O 2a-2
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An aeroplanes velocity changes from 1250m/s as it comes down to land . It accelerates at 4.9m/s² . Calculate how long it took to come to a stop ?

Step-by-step explanation:

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3 years ago
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A straight line has the same gradient as y=3x+5 and it passes through the point (0,12).
Leokris [45]

Answer:

y = 3x + 12

Step-by-step explanation:

y = 3x + 5 has slope 5.

We need the equation of a line with slope 5 that passes through point (0, 12).

y - y1 = m(x - x1)

y - 12 = 3(x - 0)

y - 12 = 3x

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2 years ago
A survey of 1,562 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying techn
tester [92]

Answer:

a) We want to test the claim that 35​% of adults have heard of the new electronic reader, then the system of hypothesis are.:  

Null hypothesis:p=0.35  

Alternative hypothesis:p \neq 0.35  

And is a two tailed test

b) z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326  

c) p_v =2*P(z  

d) Null hypothesis:p=0.35  

e) Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

Step-by-step explanation:

Information provided

n=1562 represent the random sample selected

X=522 represent the people who have heard of a new electronic reader

\hat p=\frac{522}{1562}=0.334 estimated proportion of people who have heard of a new electronic reader

p_o=0.35 is the value to verify

\alpha=0.05 represent the significance level

z would represent the statistic

p_v represent the p value

Part a

We want to test the claim that 35​% of adults have heard of the new electronic reader, then the system of hypothesis are.:  

Null hypothesis:p=0.35  

Alternative hypothesis:p \neq 0.35  

And is a two tailed test

Part b

The statistic for this case is given :

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

Replacing the info given we got:

z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326  

Part c

We can calculate the p value using the laternative hypothesis with the following probability:

p_v =2*P(z  

Part d

The null hypothesis for this case would be:

Null hypothesis:p=0.35  

Part e

The best conclusion for this case would be:

Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

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Korolek [52]

Answer:

yes

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