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1 year ago

Over what interval is the quadratic function decreasing?

Mathematics

2 answers:

frosja888 [35]1 year ago

6 0

The interval over which the given quadratic equation decreases is: x ∈ (5, ∞).

<h3>How to find the interval of quadratic functions?</h3>

Usually a quadratic graph function decreases either when moving from left to right or moving downwards.

In the given graph, we can see that the coordinate of the vertex is (5, 4) after which the curve goes in the downward direction.

Thus, for the values of x greater than 5, the function decreases and so we conclude that the interval in which the quadratic equation decreases is: (5, ∞).

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Wittaler [7]1 year ago

5 0

The interval in which the quadratic equation decreases is:

(5, ∞).

<h3>When is the function decreasing?</h3>

The function decreases when, reading from left to right, we can see that the function goes downwards.

In this particular graph, we can see that the vertex is at the point (5, 4). And after that, the right arm goes downwards.

Then for the values of x > 5 the function decreases.

Then the interval in which the quadratic equation decreases is:

(5, ∞).

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3 years ago

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Based on the graph, which statements about the points could be true? Check all that apply.

aliina [53]

Answer:

A. Point D could be the image of B.

D is up and to the right of B, so yes. Select choice A

B. Point C could be the image of A.

C is below A, so no

C. Point E could be the image of C.

E is up and to the right from C so yes, Select choice C

D. Point D could be the image of A.

D is down and to the right of A so no.

E. Point E could be the image of B.

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F. Point C could be the image of E.

No C is down and to the left of E.

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Step-by-step explanation:

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3 years ago

Medical scientists study the effect of acute infection on tissue-specific immunity. In a collection of experiments under the sam

Serjik [45]

Answer:

The 95% confidence interval for the true proportion of mice that will test positive under similar conditions is (0.5291, 0.6429).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

In a collection of experiments under the same conditions, 44 of 75 mice test positive for lymphadenopathy. This means that $n = 75$ and $\pi = \frac{44}{75} = 0.586$ .

Compute a 95% confidence interval for the true proportion of mice that will test positive under similar conditions.

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.586 - 1.96\sqrt{\frac{0.586*0.414}{75}} = 0.5291$

The upper limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.586 + 1.96\sqrt{\frac{0.586*0.414}{75}} = 0.6429$

The 95% confidence interval for the true proportion of mice that will test positive under similar conditions is (0.5291, 0.6429).

7 0

3 years ago

A grocery store chain has been tracking data on the number of shoppers that use coupons. the data shows that 71% of all shoppers

sashaice [31]

The confidence interval comes out to be (0.685,0.735).

Calculating the Confidence Level and Other Terms

The confidence level can be calculated as follows,

z = $\frac{36}{40} * 100%$ %

z = 90 %

The margin error is given as, E= 0.025

The p value in this case is 0.71

Calculating the Confidence Interval

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

Confidence interval can be obtained by using the following formula,

(p-E, p+E) = (0.71-0.025, 0.71+0.025).

Therefore, the confidence interval is (0.685, 0.735).

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1 year ago