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marusya05 [52]
3 years ago
15

Tell whether the graph of the Quadratic function y=-3x squared +x+1 opens upward or downward

Mathematics
2 answers:
8_murik_8 [283]3 years ago
8 0

Answer:

down

Step-by-step explanation:

y = -3x^2 +x +1

The coefficient of the x^2 term is negative so it opens facing down

X^2 coeffient

- means down

+ mean up

son4ous [18]3 years ago
8 0

Answer:

-3x is a negative coefficient so it faces downward. If it was positive, then it would face upward.

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Answer:

The 95% confidence interval for the percentage of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

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In a random sample of 300 boards the number of boards that fall outside the specification is 12.

Compute the sample proportion of boards that fall outside the specification in this sample as follows:

\hat p =\frac{12}{300}=0.04

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 critical value of <em>z</em> for 95% confidence level is,

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

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

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

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Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

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