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2 years ago

What does y = 1x - 3 and y=-x-21 - 3 have in common?

Mathematics

1 answer:

sergij07 [2.7K]2 years ago

5 0

Answer: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

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Equation Form:

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Step-by-step explanation:

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I feel real d.umb for asking this much of questions but tbh I don’t like algebra, my math teacher doesn't like me and she never

Iteru [2.4K]

Answer:

the first one is x=3

Step-by-step explanation:

4 0

3 years ago

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

4 years ago

A train travels 91 kilometers in 2 hours, and then 97 kilometers in 3 hours. What is its average speed?

Andrei [34K]

I think the average spend is 11 km. i don't know for sure..

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3 years ago

Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 116. Assume t

PSYCHO15rus [73]

Answer:

(a) 93.19%

(b) 267.3

Step-by-step explanation:

The population mean and standard deviation are given as 502 and 116 respectively.

Consider, X be the random variable that shows the SAT critical reading score is normally distributed.

(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

$P(X$

Thus, the required percentage is 93.19%

(b)

The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

$P(X>575)=P(\frac{x-502}{116}>\frac{575-502}{116}\\P(X>575)=P(Z>\frac{575-502}{116})\\P(X>575)=P(Z>0.6293)\\P(X>575)=0.2673$

So,

Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.

8 0

3 years ago

A particular geometric sequence has strictly decreasing terms. After the first term, each successive term is calculated by multi

Maksim231197 [3]

Answer:

6 possible integers

Step-by-step explanation:

Given

A decreasing geometric sequence

$Ratio = \frac{m}{7}$

Required

Determine the possible integer values of m

Assume the first term of the sequence to be positive integer x;

The next sequence will be $x * \frac{m}{7}$

The next will be; $x * (\frac{m}{7})^2$

The nth term will be $x * (\frac{m}{7})^{n-1}$

For each of the successive terms to be less than the previous term;

then $\frac{m}{7}$ must be a proper fraction;

This implies that:

$0 < m < 7$

Where 7 is the denominator

The sets of $0 < m < 7$ is $\{1,2,3,4,5,6\}$ and their are 6 items in this set

Hence, there are 6 possible integer

3 0

3 years ago