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3 years ago

Find the vertex form of y= -1/2 (x^2-6x-7)

1 answer:

8 0

Y=(x−3)^2−2 will be in vertewx form

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What are the domain and range of f(x) = 1/6x +2

Rashid [163]

Hello from MrBillDoesMath!

Answer:

My interpretation of f(x) is f(x) = (1/6x) + 2

Domain = {Real Numbers} - {0}

Range = {Real Numbers}

Discussion:

Domain of f = all x where f(x) is defined. For f(x) the only singularity occurs at x = 0 so the domain is the set of all real numbers except for 0. For x>0, x values close to 0 cause y to grow large while large x causes y to approach 0. A similar argument for x <0 shows that the range of f is all real numbers.

Thank you,

MrB

7 0

3 years ago

A research report claims that 20% of all individuals use Firefox to browse the web. A software company is trying to determine if

Pani-rosa [81]

Answer:

a) The null and alternative hypothesis are:

$H_0: \pi=0.2\\\\H_a:\pi\neq 0.2$

b) Test statistic z = -1.3258

c) P-value = 0.1849

Step-by-step explanation:

a) As the reseracher want to determine if the proportion of their users who use Firefox is significantly different from 0.2, it is a two-tailed test, as a proportion significantly low or significantly high gives evidence to support the alternative hypothesis.

Then the null and alternative hypothesis are:

$H_0: \pi=0.2\\\\H_a:\pi\neq 0.2$

b) The sample has a size n=200.

The sample proportion is p=0.16.

$p=X/n=32/200=0.16$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.2*0.8}{200}}\\\\\\ \sigma_p=\sqrt{0.0008}=0.028$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.16-0.2+0.5/200}{0.028}=\dfrac{-0.038}{0.028}=-1.3258$

c) This test is a two-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=2\cdot P(z$

As the P-value (0.1849) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion of their users who use Firefox is significantly different from 0.2

8 0

3 years ago

Jaheed is making puch for a party. The recipe calls for 3.5 liters of fruit juice. Write a formula to help jaheed determine the

Nimfa-mama [501]

$\pi x^{2} \frac{x}{y}$

5 0

3 years ago

a culture started with 6000 bacteria after 6 hours it grew to 7200 bacteria predict how many bacteria will be present after 17 h

Zigmanuir [339]

First find the rate of growth using the formula of
A=p e^rt
A 7200
P 6000
E constant
R rate of growth?
T time 6 hours
We need to solve for r
R=[log (A/p)÷log (e)]÷t
R=(log(7,200÷6,000)÷log(e))÷6
R=0.03 rate of growth

Now predict how many bacteria will be present after 17 hours using the same formula
A=p e^rt
A ?
P 6000
R 0.03
E constant
T 17 hours
A=6,000×e^(0.03×17)
A=9,991.7 round your answer to get
A=9992

8 0

3 years ago

Read 2 more answers

△KAR is regular, m∠ APK=106○, and m∠ PKR=107○. Fill in the missing angle measures.

LuckyWell [14K]

The answer is 147 because a triangles measures up to 360 degrees so u would add the two u have up and subtract that for 360 and u get 147

5 0

3 years ago