The distance traveled by an object divided by the time in which the distance was traveled is called the ___ of the object.

Mathematics

2 answers:

Sveta_85 [38]3 years ago

8 0

I believe it is called the average speed.

zavuch27 [327]3 years ago

5 0

the Velocity of the object

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Which expression should you simplify to find the 90% confidence interval,

Alex787 [66]

Answer:

$0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287$

$0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613$

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

Step-by-step explanation:

The estimated proportion of interest is $\hat p=0.45$

We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value is:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the true population proportion is interest is given by this formula:

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

Replacing the values provided we got:

$0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287$

$0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613$

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

8 0

3 years ago

Ned, the owner of neds shop, sells peanuts for $10 per pound and cashews for $9 per pound. Ned wants to create a 20 pound barrel

Ymorist [56]

We will use a system of equation for this one.
P=Peanuts; C=Cashews
P+C=20
This represents the pounds.
10P+9C=191
We can make the first equation equal C.
C=20-P
10P+9(20-P)=191
10P+180-9P
P+180=191
P=11
There are 11 pounds of peanuts, which means there's 9 pounds of cashews.

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Step-by-step explanation:

The formula of a volume of a pyramid:

$V=\dfrac{1}{3}BH$