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Anni [7]
3 years ago
12

Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 450 kilograms (kg), but Ren

na and her load of identical packages mass a total of 620 kg. Each package has a mass of 37.4 kg.
1. Write an inequality to determine the number of packages, p, Renna could remove from the elevator to meet the mass requirement.

2. What is the minimum whole number of packages Renna needs to remove from the elevator to meet the mass requirement?

Mathematics
2 answers:
liraira [26]3 years ago
7 0

The picture below has both of the answers to your problem.

Yuri [45]3 years ago
4 0

Answer:

1. 620-37.4p\leq 450

2. 5 packages.

Step-by-step explanation:

Let p represent number of packages.

We have been given that each package has a mass of 37.4 kg. So mass of p packages would be 37.4p.

We have been given that the mass limit for the elevator is 450 kilograms (kg), but Renna and her load of identical packages mass a total of 620 kg.

The weight of identical packages minus weight of p packages should be less than or equal to mass limit of the elevator. We can represent this information i an inequality as:

620-37.4p\leq 450

Therefore, the inequality 620-37.4p\leq 450 can be used to determine the number of packages that Renna could remove from the elevator to meet the mass requirement.

Let us solve for p.

620-620-37.4p\leq 450-620

-37.4p\leq -170

Divide by negative and swap the inequality sign:

\frac{-37.4p}{-37.4}\geq \frac{-170}{-37.4}

p \geq 4.54545

Since Renna cannot remove 0.54 of a package, therefore, the minimum whole number of packages that Renna needs to remove from the elevator would be 5.

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Margarita [4]

Answer:

(x, y) =(-1, - 1)

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5 0
3 years ago
One year Ron had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched)
Arada [10]

Answer:

Ron's ERA has a z-score of -2.03.

Karla's ERA has a z-score of -1.86.

Due to the lower z-score, Ron had a better yean than Karla relative to their peers.

Step-by-step explanation:

Z-score:

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:

Since the lower the ERA, the better the pitcher, whoever's ERA has the lower z-score had the better year relative to their peers.

Ron

ERA of 3.06, so X = 3.06

For the males, the mean ERA was 5.086 and the standard deviation was 0.998. This means that \mu = 5.086, \sigma = 0.998

So

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

Z = \frac{3.06 - 5.086}{0.998}

Z = -2.03

Ron's ERA has a z-score of -2.03.

Karla

ERA of 3.28, so X = 3.28

For  the females, the mean ERA was 4.316 and the standard deviation was 0.558. This means that \mu = 4.316, \sigma = 0.558

So

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

Z = \frac{3.28 - 4.316}{0.558}

Z = -1.86

Karla's ERA has a z-score of -1.86.

Which player had the better year relative to their peers, Ron or Karla?

Due to the lower z-score, Ron had a better yean than Karla relative to their peers.

5 0
3 years ago
S ={x|x are numbers completely divisible by 5 and x&lt;100}
Amiraneli [1.4K]
Shii ion even know maybe A
8 0
2 years ago
What is the prouduct of 5/6 x 3. show work using the number line method
Rudik [331]
5/6 times 3/1= 15/6 so that will be your answer
5 0
3 years ago
If three times a number minus 2 equals 13, what is the number?
Nana76 [90]
Change the messy words into numerals
3     times          a number         minus            2           equals         13
3          ×                n                     -                 2               =               13

3n - 2 = 13
take 2 to the other side
3n - 2 + (2)  = 13 + (2)
3n = 15

Divide by 3 on either sides to isolate n
\frac{3n}{3} = \frac{15}{3}
3 and 3 cancels out

n = 5

check:
3 times 5 minus 2 equals 13
3     ×    5       -      2     =     13
15    -      2        =          13
13            =               13

The number is 5
3 0
3 years ago
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