Which is NOT true of a quadratic function? Please help asap!

Two six sided dice are rolled and the two dice equals 7. what is the probability that one die is a 3

irinina [24]

Let us solve the problem step by step.

here we have rolled two dice. So total no. of possible outcomes will be 6^2=36. These are (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).

Now, among these cases the cases where the sum is seven for (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) i.e. there are 6 cases.

Now, it is time to calculate the probability.

The required probability is,

p = (No. of cases favorable for the event)/(Total no. of cases)

=6/36 = 1/6

<h2><u><em>Therefore your answer is 1/6.</em></u></h2>

5 0

3 years ago

If 2x + 8 = 16, what is the vaule of x + 4?

Ghella [55]

Answer:

your answer

Step-by-step explanation:

mark me a brainlist

6 0

3 years ago

Read 2 more answers

A plane left on time at noon on Monday. It arrived at its destination at 8:16 PM the same day, which was 16 minutes late. On ave

wel

30 seconds i'm not that sure

3 0

3 years ago

Read 2 more answers

Ian's parents asked him to creat a budget for his $ 1,000 monthly income . He determines that he would like to save the remainin

Kay [80]

35%

First, we need to find the amount of money that is being spent. Add all of the amounts together.

$350 + $100 + $120 + $80

$450 + $120 + 80

$570 + $80

$650

So, Ian spends $650 of his budget each month. How much does that leave for savings? Just subtract $650 from $1,000 to find that he saves $350 each month.

Now, you just need to find the percentage. The percentage is the same as the numerator in a fraction with a denominator of 100, so x% = x/100. For example, 1% = 1/100. $350 / $1000 = x / 100

How do we turn 1,000 into 100? Divide it by 10. And if you do something to the denominator of a fraction, you have to do it to the numerator as well. So, divide $350 by 10 and divide $1000 by 10, leaving you with $35 / $100 = x / 100

Multiply both sides by 100 to get x by itself. This leaves you with 35 = x, so 35% of Ian’s budget with go towards saving.

4 0

4 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

melomori [17]

Answer:

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

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

If we compare the p value and the significance level given $\alpha=0.05$ and we can see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can't conclude that the true average speed is lower than 25 mph at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=24$ represent the sample mean

$s=2.2$ represent the sample standard deviation

$n=14$ sample size

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

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean for the average speed is lower than 25 mph, the system of hypothesis would be:

Null hypothesis: $\mu \geq 25$

Alternative hypothesis: $\mu < 25$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

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

Calculate the statistic

We can replace in formula (1) the info given like this:

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

P-value

The first step is calculate the degrees of freedom, on this case:

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

Since is a one side test the p value would be:

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

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ and we can see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can't conclude that the true average speed is lower than 25 mph at 5% of signficance.

7 0

3 years ago