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2 years ago

Simplify (r^4)(-12 r^7)

Mathematics

1 answer:

goldfiish [28.3K]2 years ago

8 0

12r^11. hope this helps.

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Write the standard form of the equation of line through (3, -1) with a slope of -1.

kirill115 [55]

The standard form of a line: $Ax+By=C$ .

The point-slope form: $y-y_1=m(x-x_1)$

We have the point (3, -1) and the slope m = -1. Substitute:

$y-(-1)=-1(x-3)$

$y+1=-x+3$ <em>add x to both sides</em>

$x+y+1=3$ <em>subtract 1 from both sides</em>

$\boxed{x+y=2}$

5 0

3 years ago

Can someone answer this?

ad-work [718]

Answer:

Step-by-step explanation:

6x-1+3x+5x+3+4x+8+5x+5=360 degree(sum of exterior angle of a pentagon is 360 degree)

23x+15=360

23x=360-15

x=345/23

x=15

therefore the value of x is 15 degree.

8 0

3 years ago

If f(x)=12x+2(x-1), find f(6)

zavuch27 [327]

Answer:

12x6+2(6-1)

72+2x5

72+10

82 is the answer.

Step-by-step explanation:

Just replace the X's in the problem with 6.

5 0

3 years ago

If there are 19 questions and each question has 4 answers, what is the probability she will answer at least one question correct

gregori [183]

Answer:

0.9958

Step-by-step explanation:

P(being correct) = 1/4 = 0.25

Hence, p = 0.25

n = 19

P(x ≥ 1) = p(x = 1) + p(x = 2) +... + p(x = 19)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

However, to save computation time, we could use a calculator :

Using a calculator,

P(x ≥ 1) = 0.99577

P(x ≥ 1) = 0.9958

7 0

2 years ago

Many airline companies have begun implementing fees for checked bags. Economic theory predicts that passengers will respond to t

valentinak56 [21]

Answer:

Step-by-step explanation:

a. The hypothesis test is one tailed_____ test.

(Because we check whether sample weight is greater than hence one tailed or right tailed)

The test statistic follows a __t___ distribution.(Because only sample std deviation s is known)

The value of the test statistic is___Mean difference/Std error = $\frac{17.1-16}{\frac{6}{\sqrt{67} } } \\=1.58$ __

b. df = 66

Reject H0 if t ≥ 1.668

c. The p-value is_____0.059444

d. Using the critical value approach, the null hypothesis is _accepted____, because __t <1.668___ Using the p-value approach, the null hypothesis is__accepted___, because__p value <0.05 our significance level.___ Therefore, you __may___ conclude that the mean weight of the airline's passengers' carry-on items has increased after the implementation of the checked-bag fee.

4 0

2 years ago