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lyudmila [28]
3 years ago
15

Develop TWO equations that would model the given situation. Make sure you state the variable i.e. x= # of chairs.

Mathematics
1 answer:
saul85 [17]3 years ago
4 0
1small bus=12
large bus=24

total passengers is 780
total busses is 20
# of small bus =x
# of large bus=y
so x+y=20

every one x=12 people so
780=12x+24y
the 2 equations are
x+y=20
12x+24y=780





Store sells wheels in pachages of 2 and 3
40 packs and 100 wheels
1 pack of 2 =2 so
# of 2 pack=x
# of 3 pack=y
x+y=40
2x+3y=100
those are the 2 equations
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3 years ago
What is the GCF for each set of numbers 9 and 27
galben [10]
The greatest common factor 9 and 27 is 9.

The factors of 9 are 9, 3, 1. The factors of 27 are 27, 9, 3,
5 0
3 years ago
Read 2 more answers
1/4(1/3k+9)=6 step 1- 1/3k=15 step 2- 1/3k=15 step 3- k=5 find Olgas mistake step 1 step 2 steps 3 Olga did not make a mistake
shtirl [24]

Answer:

Step 3 contains error.

Step-by-step explanation:

The given equation is :

\dfrac{1}{4}(\dfrac{1}{3}k+9)=6

Step 1.

Cross multiplying,

(\dfrac{1}{3}k+9)=24

Step 2.

Subtract 9 from both sides

\dfrac{1}{3}k+9-9=24-9\\\\\dfrac{1}{3}k=15

Step 3.

Cross multiplying

k=15\times 3\\\\k=45

So, there is an error in step 3. The correct answer should be 45.

3 0
3 years ago
In a given year, the average annual salary of a NFL football player was $189,000 with a standard deviation of $20,500. If a samp
nika2105 [10]

Answer:

15.15% probability that the sample mean will be $192,000 or more.

Step-by-step explanation:

To solve this problem, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 189000, \sigma = 20500, n = 50, s = \frac{20500}{\sqrt{50}} = 2899.14

The probability that the sample mean will be $192,000 or more is

This is 1 subtracted by the pvalue of z when X = 192000. So

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

By the Central Limit Theorem

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

Z = \frac{192000 - 189000}{2899.14}

Z = 1.03

Z = 1.03 has a pvalue of 0.8485.

1-0.8485 = 0.1515

15.15% probability that the sample mean will be $192,000 or more.

7 0
3 years ago
What is the degree of the following polynomial?<br> -4x + 5x2 – 2x5 + 12
djyliett [7]

Answer:

5

Step-by-step explanation:

The highest power of x will be the degree of the polynomial.

4 0
4 years ago
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