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2 years ago

13

francesca wants to give one of her photographs to a friend as a gift. help her choose the photograph and determine the style and

size of the mat she can afford.

1 answer:

emmainna [20.7K]2 years ago

3 0

It's a photo of a bridge & it's 3x5" (inches)

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If a hurricane was headed your way, would you evacuate? The headline of a press release states, "Thirty-four Percent of People o

IgorC [24]

Answer:

The 98% confidence interval would be given by (0.326;0.354)

Step-by-step explanation:

1) Notation and definitions

$X=63$ number of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states

$n=6138$ random sample taken

$\hat p=0.34$ estimated proportion of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states

$p$ true population proportion of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

2) Confidence interval

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 98% of confidence, our significance level would be given by $\alpha=1-0.98=0.02$ and $\alpha/2 =0.01$ . And the critical value would be given by:

$z_{\alpha/2}=-2.33, z_{1-\alpha/2}=2.33$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.34 - 2.33\sqrt{\frac{0.34(1-0.34)}{6138}}=0.326$

$0.34 + 2.33\sqrt{\frac{0.34(1-0.34)}{6138}}=0.354$

The 98% confidence interval would be given by (0.326;0.354)

8 0

2 years ago

Analyze Relationships Julio and Jake reading assignments the same day Jake is reading a 168-page book at a rate of 24 pages per

lukranit [14]

24×1 1/4 is 30
Jake reads 24 per day
24×5=121
168-121=47
Julio reads 30 per day
30×5=150
180-150=30
Jake will have 17 more pages left to read than Julio.

5 0

2 years ago

The graph shows the function representing the recommended amount of mulch, in cubic yards, for circular flowerbeds based on the

MAVERICK [17]

Answer: 13

Step-by-step explanation:

4 0

2 years ago

Round 7.4304909778 to the nearest millionth.

diamong [38]

Answer:

7.430491

Step-by-step explanation:

Round the number based on the sixth digit. That is the millionth.

6 0

2 years ago

BRAINLIESTTT ASAP!! PLEASE HELP ME :)

Elanso [62]

Answer:

x=-2 (the actual solution)

x=-5 (the extraneous solution)

Step-by-step explanation:

First step is to isolate the radical part (the part with the square root).

So we will add 4 on both sides first:

$\sqrt{x+6}=x+4$

To get rid of square we are going to square both sides:

$x+6=(x+4)^2$

We are going to expand right hand side (you can use "F.O.I.L":

$x+6=x^2+4x+4x+16$

Subtract x on both sides and subtract 6 on both sides:

$0=x^2+4x+4x-x+16-6$

Combine like terms:

$0=x^2+7x+10$

We will now factor:

$0=(x+2)(x+5)$ (Since 2(5)=10 and 2+5=7)

Set both factors equal to 0:

x+2=0 or x+5=0

Solve first equation by subtracting 2 on both sides to obtain x=-2.

Solve second equation by subtracting 5 on both sides to obtain x=-5.

Now let's check to see if these are both actually indeed solutions to the equation we began with:

$\sqrt{x+6}-4=x$ for $x=-2$ :

$\sqrt{-2+6}-4=-2$

$\sqrt{4}-4=-2$

$2-4=-2$

$-2=-2$ is a true equation so $x=-2$ is indeed a solution.

$\sqrt{x+6}-4=x$ for $x=-5$ :

$\sqrt{-5+6}-4=-5$

$\sqrt{1}-4=-5$

$1-4=-5$

$-3=-5$ is false so $x=-5$ is what we call the extraneous solution.

5 0

2 years ago

Read 2 more answers