At what value of x do the graphs of the equations below intersect?

2 answers:

8 0

The intersection is the point where two equations meet. It is calculated by substituting terms into the equations involved. For the given systems of equation, calculations are as follows:

2x - y = 6
y = 2x - 6

We substitute the equation above to the second equation.

5x + 10y = –10
5x + 10( 2x - 6 )= –10

Simplifying,

5x + 20x - 60 = -10
25x = 50
x = 2

Therefore, the intersection has the value of x equal to 2.

Rashid [163]3 years ago

3 0

c (2) is the value in where the equations intersect

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A random sample of 100 observations from a quantitative population produced a sample mean of 22.8 and a sample standard deviatio

natima [27]

Answer:

We conclude that the population mean is 24.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 24

Sample mean, $\bar{x}$ = 22.8

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 8.3

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 24\\H_A: \mu \neq 24$

We use Two-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{22.8 - 24}{\frac{8.3}{\sqrt{100}} } = -1.44$

We calculate the p-value with the help of standard z table.

P-value = 0.1498

Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.

Now, $z_{critical} \text{ at 0.05 level of significance } = \pm 1.96$

Since, the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.

7 0

3 years ago

Show 1,700 using large cubes and flats

IgorC [24]

Answer:

How will the size of the model for 100,000 compare to the size of the model for 10,000? Possible answer: the pattern shows cube, long, flat, cube. So, the shape of the model for 10,000 will be long.

Step-by-step explanation:

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3 years ago

What is the solution of the equation? -39.75 = 7.5m

kolezko [41]

Answer:

m = -5.3

Step-by-step explanation:

-39.75 = 7.5m

Divide both sides by 7.5 to get m alone

-39.75/7.5 = 7.5m/7.5

-5.3 = m