PLEASE ANSWER I NEED HELP!

A regular mile an hour is 5,280 feet per hour. a knot is ________.

trapecia [35]

52.8 because 5,280/100=52.8
So the knot is 52.8

3 0

3 years ago

This symbol stands for what mathematical<br> statement?

sleet_krkn [62]

Answer:

I think it stands for congruence if your talking about logics and proofs but if your in the case of conjunctions and disjunctions then it would mean negating something.

Step-by-step explanation:

7 0

3 years ago

A certain pickup truck gets 16 mpg in the city and 22 mpg on the highway. If a driver drives 254 mi on 14 gal of gas, determine

nataly862011 [7]

Answer:

No of city miles = 144 miles

No of highway miles = 110 miles.

Explanation:

Total distance traveled = 254 miles

Mileage of pickup truck in city = 16 mpg

Mileage of pickup truck in highway = 22 mpg

Total gas used = 14 gal

Let x be the number of city miles,

We have number of highway miles = 254-x

So gas used = $\frac{254-x}{22} +\frac{x}{16}$

Equating,

$\frac{254-x}{22} +\frac{x}{16} = 14\\ \\ 4064-16x+22x=4928\\ \\ 6x=864\\ \\ x=144 miles$

No of city miles = 144 miles

No of highway miles = 254 - 144 = 110 miles.

5 0

4 years ago

The amount of mineral water consumed by a person per day on the job is normally distributedwith mean 19 ounces and standard devi

raketka [301]

Answer:

0.0228 = 2.28% probability that the mineral water supplied by the company will not satisfy the water demanded by its employees.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

n values from a normal distribution:

The mean is $\mu*n$ and the standard deviation is $\sigma\sqrt{n}$

Normally distributed with mean 19 ounces and standard deviation 5 ounces.

This means that $\mu = 19, \sigma = 5$

The company has 100 employees.

This means that for the mean consumption of all employees, we have that:

$\mu = 19*100 = 1900$

$\sigma = 5\sqrt{100} = 50$

Find the probability that the mineral water supplied by the company will not satisfy the water demanded by its employees.

Consumption higher than 2000 ounces, which is 1 subtracted by the pvalue of Z when X = 2000. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2000 - 1900}{50}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the mineral water supplied by the company will not satisfy the water demanded by its employees.

5 0

3 years ago

Rosetta wants to estimate the percentage of people who rent their home. She surveys 250 individuals and finds that 48 rent their

Andreas93 [3]

Answer:

$0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151$

$0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233$

Step-by-step explanation:

Information given

$X= 48$ number of people who rent their home

$n= 250$ represent the sample size

$\hat p =\frac{48}{250}= 0.192$ represent the proportion of people who rent their home

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 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.645$

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:

$0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151$

$0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233$

3 0

3 years ago