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PilotLPTM [1.2K]
3 years ago
14

By solving substitution y=4x-6 Y= 5x how I need steps

Mathematics
1 answer:
stiv31 [10]3 years ago
5 0

Answer:

x= -6

Step-by-step explanation:

y=4x-6

y=5x, so where ever you see y, put 5x there.

hence, 5x=4x-6

5x-4x=-6

x= -6

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The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation
aliina [53]

Answer:

a.  X~N(2,885, 651)

b.  0.086291

c.  0.00058

d.  3213.10 calories

Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

-Let X a random variable denoting  the number of calories consumed.

-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

P(X

#substitute the given values in the formula to solve for P:

P(X

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058

Hence, the proportion of customers consuming over  5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.

8 0
3 years ago
Which expression is equivalent to 3y?
Yakvenalex [24]

Answer:

Ooy+(+12)-2

Step-by-step explanation:

Cause the dimoneter is the 12 a pelagic

5 0
3 years ago
Need help 21,22,23,24,25 pleasee help
zimovet [89]

Answer:

21. C

22. D I got 263.89

23. I'm not sure about this one

24. C

25. D

Step-by-step explanation:

I hope the ones i answered were correct if not i am sorry

3 0
3 years ago
What is the value of 6! ?
Anika [276]

6 ! = 720

the definition of n ! ( n factorial ) is

n ! = n(n - 1)(n - 2) ..........× 3 × 2 × 1

6 ! = 6 × 5 × 4 × 3 × 2 × 1 = 720


3 0
3 years ago
Read 2 more answers
Help me to solve this one too please?
Flura [38]

Answer:

y = 19.89 ( 19.90 approx. )

Step-by-step explanation:

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4 0
2 years ago
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