If the length of the side of a square is 3×-y what is the area of the square in terms of x and y

Zach and Ginny are building model cars. Ginny's car is 2 more than 3 times the length of Zach's car. The sum of the lengths of b

Neporo4naja [7]

Answer:

$x+(3x+2)=30$

Step-by-step explanation:

Let

x ----> the length of Zach's car

y ----> the length of Ginny's car

we know that

The sum of the lengths of both cars is 30 inches

so

$x+y=30$ ----> equation A

Ginny's car is 2 more than 3 times the length of Zach's car

so

$y=3x+2$ ----> equation B

substitute equation B in equation A

$x+(3x+2)=30$

8 0

3 years ago

The daily dinner bills in a local restaurant are normally distributed with a mean of $28 and a standard deviation of $6. What ar

Degger [83]

Answer:

The minimum value of the bill that is greater than 95% of the bills is $37.87.

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

$\mu = 28, \sigma = 6$