Solve for w. -4(11 + 1) = –24 W=

Mathematics

2 answers:

Agata [3.3K]3 years ago

7 0

Answer:

w=2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Elenna [48]3 years ago

4 0

Answer:

w=2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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Kingda ka in new jersey is the tallest and fastest roller coaster in the world. riders travel at an average speed of 61 feet per

trapecia [35]

Answer:

(a) 3118=61*t

(b) The amount of time the roller coaster is in motion is 51.11 seconds.

Step-by-step explanation:

Speed is a magnitude that expresses the relationship between the space traveled by an object, the time used for it and its direction. In other words, speed is associated with the change in position of a body over time and can be expressed as:

$speed=\frac{distance}{time}$

Then the distance traveled can be expressed as:

distance=speed*time

(a) If x represents the total time that the roller coaster is in motion for each ride, the average speed is 61 feet per second and the distance is 3118 feet then the expression to represent the situation is:

3118=61*x

(b) To calculate the amount of time the roller coaster is moving, you simply need to solve the expression found in (a). Dividing 61 to both sides:

$\frac{3118}{61} =\frac{61*x}{61}$

51.11 seconds=x

The amount of time the roller coaster is in motion is 51.11 seconds.

5 0

3 years ago

A study finds that the number of gallons of water used each month per household in a

Mashcka [7]

Answer:

0.5793 = 57.93% probability that the household uses 480 gallons of water or less per month

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 470 gallons and standard deviation of 50 gallons.

This means that $\mu = 470, \sigma = 50$