Write an equation in slope-intercept form for the line that has the given slope and contains the point.

Graph y=-1/2x^2-1. Identify the vertex of the graph. tell whether it is a minimum or maximum. (To clarify, 1/2 is a fraction *x^

ahrayia [7]

$y= -\frac{1}{2} x^{2}-1$ is a quadratic function, so its graph is a parabola.

Notice that the coefficient of x is 0, this always means that the axis of symmetry is the y-axis.

That is, the vertex of the parabola is in the y-axis, so the x-coordinate of the vertex is 0.

for x=0, y=-1. So the vertex is (0, -1)

The coefficient of $x^{2}$ is negative. This means that the parabola opens downwards, so the vertex is a maximum.

Answer: (0, -1) , maximum (none of the choices)

5 0

3 years ago

40.32 is 76.8% of what number

Anna71 [15]

30.96576 because the calculator says so..lol

3 0

3 years ago

Read 2 more answers

What is the quotient of - 48 ÷ -6 , answer and show how to solve

KonstantinChe [14]

The quotient is -8. This being because when a negative number is in parentheses, the negative will be the opposite: Positive. And we know 48 divided by 6 is 8. So the answer is B.

7 0

3 years ago

Read 2 more answers

Factor -8m^3n^3+2m^5+2m^3

Arada [10]

−

2

m

3

out of

−

8

m

3

n

3

+

2

m

5

+

2

m

3

.

−

2

m

3

(

4

n

3

−

m

2

−

1

)

7 0

2 years ago

In Exercises 1–4, use these results from a USA Today survey in which 510 people chose to respond to this question that was poste

Alexus [3.1K]

Answer:

The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.

Step-by-step explanation:

In this case we need to test the claim that more than half of the population believes that passwords should be replaced with biometric security.

Assume that the significance level of the test is, α = 0.05.

The hypothesis can be defined as follows:

H₀: The proportion of the population believes that passwords should be replaced with biometric security is 50%, i.e. p = 0.50.

Hₐ: The proportion of the population believes that passwords should be replaced with biometric security is more than 50%, i.e. p > 0.50.

The information provided is:

$n = 510\\\hat p=0.53$

Compute the test statistic value as follows:

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

$=\frac{0.53-0.50}{\sqrt{\frac{0.50(1-0.50)}{510}}}\\\\=1.354991\\\\\approx 1.35$

The test statistic value is 1.35.

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

$p-value=P(Z>1.35)$

$=1-P(Z$

p-value = 0.088 > α = 0.05.

The null hypothesis will not be rejected at 5% significance level.

Thus, there is not enough evidence to support the claim.

Conclusion:

The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.

7 0

3 years ago