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lukranit [14]
3 years ago
6

Through (-2,0) parallel to y=-x+4

Mathematics
1 answer:
Marizza181 [45]3 years ago
5 0

Answer: y = -x - 2

This has the same slope as y = -x + 4, but it runs through (-2,0)

Hope this helps :)

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The accompanying data represent the miles per gallon of a random sample of cars with a​ three-cylinder, 1.0 liter engine.a. Comp
Kobotan [32]

Answer:

1). Z score = 1.464733

Mean = 38.87917

Standard deviation = 3.609405

2). Quartiles:

Q1 = 37.025

Q2 = 38.450

Q3 = 40.800

3). IQR = 3.775

4).

CI (lower fence) = 37.4351

CI (upper fence) =  40.32323

5). There is outlier in the data set. Please see attached box plot for evidence.

Step-by-step explanation:

1). By Z score, we mean:

Z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}},

where:

x-bar ==> mean(g) = 38.87917

\mu = 37.80

standard deviation = 3.609405

sample size (n) = 24.

2). By quantile, we mean:

Q = L + (i*(n/4) - Cf)*c

Where L is the lower class limit of the quartile class

Cf is the cumulative frequency before the quartile class

c  is the class size.

3) . IQR = Q3 - Q1

4). CI = \mu \pm *Z_{\alpha/2} \frac{\sigma}{\sqrt{n}},

Where Z_{\alpha/2}  ==> 1.96

In order to replicate and obtain the result, please use the R code below:

g = c(31.5, 36.0, 37.8, 38.5, 40.1, 42.2,34.2, 36.2, 38.1, 38.7, 40.6, 42.5,34.7, 37.3, 38.2, 39.5,  

41.4, 43.4,35.6, 37.6, 38.4, 39.6, 41.7, 49.3)

boxplot(g)

Z = (mean(g) - 37.8)/(sd(g)/sqrt(length(g)))

mean(g)

quantile(g)

IQR(g)

CIl = mean(g) - 1.96*(sd(g)/sqrt(length(g)))

CIU = mean(g) + 1.96*(sd(g)/sqrt(length(g)))

4 0
3 years ago
Identify the terms and like terms in the question 3n+7-n-3
Temka [501]

Answer:

like terms: (3n,-n),(7,-3)

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Simplify the fraction 4t2-16/8/t-2/6
mr Goodwill [35]

Answer:

The simplify form of the provided expression is: 12t^2 - 6t - 1

Step-by-step explanation:

Consider the provided expression.

4t^2-\frac{16}{8}t-\frac{2}{6}

Now simplify the above expression as shown below:

4t^2-\frac{16}{8}t-\frac{2}{6}

4t^2-2t-\frac{2}{6} as 16/8 = 2

Now again simplify the above expression.

4t^2-2t-\frac{1}{3} as 2/6 = 1/3

Now, multiply the whole expression with 3.

3(4t^2-2t-\frac{1}{3})

12t^2 - 6t - 1

Hence, the simplify form of the provided expression is: 12t^2 - 6t - 1

4 0
2 years ago
How can x² = x² + 2x + 9 be set up as a system of equations? (1 point)
koban [17]

Answer: 2

Step-by-step explanation:

Each of the two sides of the equation is set equal to y

4 0
1 year ago
3kx+24=9kx solve for x
Sergeeva-Olga [200]
To solve this, first subtract 3kx from both sides so that both the x variables are on the same side. This will result in: 24=9kx-3kx.
Since 9kx and -3kx are like terms, they will combine and you will get 24=6kx
Now, divide 6k from both sides to isolate x and you get x=24/6k.
However, you notice that 24 and 6k both have a common factor which is 6, so you simplify 24/6k to 4/k which gives you your answer of x=4/k
3 0
3 years ago
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