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2 years ago

PLEASE ANSWER WILL MARK BRAINLIEST!!

Mathematics

1 answer:

sdas [7]2 years ago

5 0

Answer:

a) 7/10

b) 1/6

Step-by-step explanation:

a) There are 10 ways to roll a 5 or less. Of those, 7 are greater than 3.

(die 1)(die 2) ∈ {11, 12, 21, 13, 22, 31, 14, 23, 32, 41}

p(>3 | ≤5) = 7/10

b) Of the 36 possible outcomes of rolling two dice, there are 6 ways to have a 6 and an odd number:

{16, 36, 56, 61, 63, 65}

The probability of interest is 6/36 = 1/6.

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mr Goodwill [35]

16=40 and then 60=16

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2 years ago

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2 years ago

The average annual premium for automobile insurance in the United States is $1411. A representative sample of annual premiums fo

Harrizon [31]

Using confidence interval concepts, it is found that:

a) The point estimate is the sample mean.

b) The confidence interval is: $\overline{x} \pm T\frac{s}{n}$

c) If $1411 is between the bounds of the interval yes, otherwise no.

--------------

At item a, it asks to provide a point estimate for the population mean, which is the sample mean $\overline{x}$

--------------

Item b:

In the spreadsheet, it is possible to find the standard deviation for the sample, thus, the t-distribution is used.
The confidence interval will be given by:

$\overline{x} \pm T\frac{s}{n}$

In which:

$\overline{x}$ is the sample mean.
T is the critical value, from the t-distribution, with a two-tailed area of $\frac{1 - 0.95}{2} = 0.025$ and n-1 degrees of freedom.
s is the standard deviation for the sample.
n is the sample size.

--------------

Item c:

We have to check if 1411 is between $\overline{x} - T\frac{s}{n}$ and $\overline{x} +T\frac{s}{n}$ .

If it is, the interval includes the National Average, otherwise, it does not.

A similar problem is given at brainly.com/question/24232455

7 0

2 years ago

A store prices tapes by raising the wholesale price 50% and adding 25 cents .What must a tape's wholesale price be if the tape s

Andre45 [30]

Let's call the store value as s and the wholesale price as w. A store prices tapes by raising the wholesale price 50%(0.5 in decimals) and adding 25 cents, writing this as an equation, we have

$s(w)=w+0.5w+0.25$

If we invert the equation we're going to find the the wholesale price as a function of the store price.

$\begin{gathered} s=w+0.5w+0.25 \\ s=1.5w+0.25 \\ s-0.25=1.5w \\ w(s)=\frac{s-0.25}{1.5} \end{gathered}$

Now, to find the wholesale price if the sales price is $1.99, we just need to evaluate s = 1.99 on the function we created.

$w(1.99)=\frac{1.99-0.25}{1.5}=1.16$

The wholesale price is $1.16.

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8 months ago