Ask question

Ask question

All categories

2 years ago

10

given the equation y=-2x^2+1. determine the direction of opening, coordinates of the vertex, Maximum or minimum value and the ax

is of symmetry

1 answer:

Andreas93 [3]2 years ago

5 0

The sign of the term in x^2 is negative so the graph will open downwards.
when x = 0 y = 1
The coordinates of the vertex are (0,1)
the maximum value of the function is 1
and the axis of symmetry ix x = 0 ( the y axis)

You might be interested in

According to a survey published by ComPsych Corporation, 54% of all workers read e-mail while they are talking on the phone. Sup

fomenos

Answer:

0.54,0.8,0.368

Step-by-step explanation:

Given that according to a survey published by ComPsych Corporation, 54% of all workers read e-mail while they are talking on the phone.

Prob for persons who read email while talking on the phone = 54% = 0.54

Prob for persons who read email while talking on the phone to write to do lists = 0.20

Assuming that these figures are true for all workers, if a worker is randomly selected, the probability that

a. The worker reads e-mail while talking on the phone and writes personal "to-do" lists during meetings.

$p =0.54$

b. The worker does not write personal "to-do" lists given that he reads e-mail while talking on the phone.

$p =1-0.20=0.80$

c.The worker does not write personal "to-do" lists and does read e-mail while talking on the phone.

$p=(1-0.20)(1-0.54) = 0.368$

8 0

2 years ago

A safety officer wants to prove that μ = the average speed of cars driven by a school is less than 25 mph. Suppose that a random

Akimi4 [234]

Answer:

$t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70$

The degrees of freedom are given by:

$df=n-1=14-1=13$

The p value for this case would be given by:

$p_v =P(t_{(13)}$

Step-by-step explanation:

Information given

$\bar X=24$ represent the mean height for the sample

$s=2.2$ represent the sample standard deviation

$n=14$ sample size

$\mu_o =25$ represent the value that we want to test

t would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to verify

We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:

Null hypothesis: $\mu \geq 25$

Alternative hypothesis: $\mu < 25$

The statistic would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70$

The degrees of freedom are given by:

$df=n-1=14-1=13$

The p value for this case would be given by:

$p_v =P(t_{(13)}$

8 0

2 years ago

The graph of f(x) is shown.

diamong [38]

Answer:

the awnser is A

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

A sociologist wishes to estimate the average number of automobile thefts in a large city per day within 2 automobiles. He wishes

anzhelika [568]

Answer:

$n=(\frac{2.58(4.2)}{2})^2 =29.35 \approx 30$

So the answer for this case would be n=30 rounded up to the nearest integer

Step-by-step explanation:

Information given

$ME = 2$ the margin of error desired

$\sigma =4.2$ standard deviation from previous studies

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance level is $\alpha=0.01$ and the critical value would be $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(4.2)}{2})^2 =29.35 \approx 30$

So the answer for this case would be n=30 rounded up to the nearest integer

5 0

2 years ago

Design Mati QUIZ

Readme [11.4K]

Answer:

26

Step-by-step explanation:

7.5% of 20$ is 1.50, so you add 19.99+1.50 and you get 21.49$. Then all you do is subtract 550 from 21.49 until you can't. You can subtract 21.49 from 550 26 times.

8 0

2 years ago