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2 years ago

What is the equatiin of the linr that passes through tue pionts (-3,2) and (-5,8)?

Mathematics

2 answers:

larisa [96]2 years ago

7 0

Answer:

no clue

dsf

Step-by-step explanation:

MrRa [10]2 years ago

4 0

Hi!

Step-by-step explanation:

$Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}$

$\frac{8-2}{(-5)-(-3)}=\frac{6}{-2}=-3$

Slope is -3

Final answer is -3.

Hope this helps!

-Charlie

Have a nice day! :)

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The Environmental Protection Agency (EPA) publishes fuel economy values that are known to be good estimates of the fuel economy

r-ruslan [8.4K]

Answer:

The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.95$ . So we have T = 1.7531

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 1.7531\frac{0.78}{\sqrt{16}} = 0.34$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 23.29 - 0.34 = 22.95 mpg

The upper end of the interval is the sample mean added to M. So it is 23.29 + 0.34 = 23.63 mpg

The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.

7 0

2 years ago

A principle of $2000 is placed ina saving account at 3% APR compounded annually. How much is in the account after one year, two

Kisachek [45]

Answer:

1 year: $2060

2 years: $2121.80

3 years: $2185.45

Step-by-step explanation:

Compound interest formula is A = P(1 + $\frac{r}{n}^{nt$ ) where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period, and t is the number of time periods elapsed. In our case, P would be equal to 2000 dollars, r would be equal to 0.03, for 3 percent, and our n value would just be one, so the final equation is:

$2000(1.03)^t$

First, let's evaluate t for 1, as in one year.

$2000 * 1.03^1$ = 2000 x 1.03 = 2060

Two years: 2000 * 1.03 squared = 2121.80

Three years: 2000 * 1.03^3 = 2185.45!

Hope this helps!

8 0

2 years ago

$250 at 4 percent for 1 year

Jet001 [13]

Answer:

the answer is 10

Step-by-step explanation:

4% of 250 is 10 and also can you help me with my problem?

5 0

2 years ago

Show that 4(m + 7) + (m + 3)^2 = (m + 3)(m + 7) + 16

anygoal [31]

Step-by-step explanation:

$4(m+7)+(m+3)^2=(m+3)(m+7)+16\\\\L_S=4(m+7)+(m+3)^2\\\\\text{use the distributive property}:a(b+c)=ab+ac\\\text{and formula}:\ (a+b)^2=a^2+2ab+b^2\\\\L_S=(4)(m)+(4)(7)+m^2+2(m)(3)+3^2\\\\L_S=4m+28+m^2+6m+9\qquad\text{combine like terms}\\\\L_S=m^2+(4m+6m)+(28+9)\\\\L_S=m^2+10m+37$

$R_S=(m+3)(m+7)+16\\\\\text{use FOIL}:(a+b)(c+d)=ac+ad+bc+bd\\\\R_S=(m)(m)+(m)(7)+(3)(m)+(3)(7)+16\\\\R_S=m^2+7m+3m+21+16\qquad\text{combine like terms}\\\\R_S=m^2+(7m+3m)+(21+16)\\\\R_S=m^2+10m+37\\\\\boxed{L_S=R_S}$

4 0

2 years ago

7th grade: CAN SOMEONE PLEASE SOLVE JUST THE TABLES ONLY

Gnom [1K]

Answer:uh

Step-by-step explanation:

8 0

2 years ago