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2 years ago

The formula y= 72h can be used to find the velocity (v) in feet per second of an object that has fallen h feet. Find

Mathematics

2 answers:

Umnica [9.8K]2 years ago

8 0

The answer is option C

algol [13]2 years ago

6 0

Answer:

11211

Step-by-step explanation:

1212

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Of 575 broiler chickens purchased from various kinds of food stores in different regions of a country and tested for types of ba

chubhunter [2.5K]

Answer:

a) $0.68 - 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.630$

$0.68 + 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.730$

And the 99% confidence interval would be given (0.630;0.730).

b) We are 99% confident that the true proportion of infected chickens are between 0.63 (63%) and 0.73 (73%)

c) For this case the answer would be No. Since all the required assumptions in order to construct the confidence interval are satisfied, so then the results can be assumed for all the population

Step-by-step explanation:

Previous concepts

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".

$p$ represent the real population proportion of interest

$\hat p =0.68$ represent the estimated proportion

n=575 is the sample size required (variable of interest)

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

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

Part a

The confidence interval would be given by this formula

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

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$0.68 - 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.630$

$0.68 + 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.730$

And the 99% confidence interval would be given (0.630;0.730).

Part b

We are 99% confident that the true proportion of infected chickens are between 0.63 (63%) and 0.73 (73%)

Part c

For this case the answer would be No. Since all the required assumptions in order to construct the confidence interval are satisfied, so then the results can be assumed for all the population

4 0

3 years ago

Someone help if your good at maths

Y_Kistochka [10]

Answer:

a) w ⇒ × 5 ⇒ -3 ⇒ z

b) x ⇒ +2 ⇒ ×7 ⇒ y

y= x+2×7= x + 14

4 0

2 years ago

Where did mathematics come from

Ganezh [65]

The most ancient mathematical texts came from mesopotamia and Egypt. The “inventors” of math are the Greek beginning in around the 6th century BC.

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7By%7D%7B2%7D%20%20%3C%20%20-%203" id="TexFormula1" title=" \frac{y}{2} < - 3"

Allisa [31]

Hey!

Okay, to solve this problem, we'd first have to multiply both sides by two. The reason we do this is to get $y$ on its own.

Original Equation : 
$\frac{y}{2}$ < $-3$

New Equation {Changed by Multiplying 2 on Both Sides} :
$\frac{2y}{2}$ < $2$ ( $-3$ )

And we simplify the equation to get our answer.

Old Equation :
$\frac{2y}{2}$ < $2$ ( $-3$ )

New Equation {Changed by Simplification} :
y < -6

So, the equation $\frac{y}{2}$ < -3 simplified is y < -6.

Hope this helps!

- Lindsey Frazier ♥

8 0

2 years ago

Solve 7x + 6 < 3(x - 2).

sasho [114]

7x+6=3x-6
+6 +6
7x+12=3x
-3x -3x
4x+12=0
-4x -4x
divide both sides by -4 but you have to flip the sign.
-3>x
or
{x | x < -3}

8 0

2 years ago