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mr_godi [17]
3 years ago
8

Show that the function of f(x) = a - x is its own inverse for all real numbers a

Mathematics
1 answer:
tatuchka [14]3 years ago
5 0

f(x) = a - x

y = a - x

y + x = a - x + x

y + x = a

y + x - y = a - y

x = a - y

f-¹(x) = a - x

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Susan is going to watch a movie in her collection she has 5 action movies 4comedies and 3 dramas she will randomly select one mo
Ivenika [448]

Answer:

9/12 or 75%.

Step-by-step explanation:

Let's first add the choices all up.

5+4+3= 12.

We have 12 movie choices in total.

Now, we know that we have 3 drama movie choices...so the chance we will choose drama is 3/12, but we are not finding that.  We want the chance she will NOT choose drama, so that would be 9/12.

*Since the chance she will choose drama is 3/12, the chance she will not choose is 9/12. 9+3 is 12, the total amout.*

6 0
2 years ago
A cone has a height of 5 inches and a radius of 4 inches. What is its volume?
Yuki888 [10]

9514 1400 393

Answer:

  83.73 in³

Step-by-step explanation:

It is appropriate to use the formula for the volume of a cone:

  V = (1/3)πr²h

  V = (1/3)(3.14)(4 in)²(5 in) ≈ 83.73 in³

The volume of the cone is about 83.73 in³.

5 0
3 years ago
Tim buys 4 hats at $7.99 each. How much does he spend?
Sindrei [870]
Your answer should be $31.96 because when you multiply 7.99 by 4 that’s what your going to end up with.
8 0
3 years ago
Is there any systematic tendency for part-time college faculty to hold their students to different standards than do full-time f
alexandr1967 [171]

Answer:

H0 : μ1 - μ2 = 0

H1 : μ1 - μ2 ≠ 0

-1. 34

0.1837

Step-by-step explanation:

Full time :

n1 = 125

x1 = 2.7386

s1 = 0.65342

Part time :

n2 = 88

x2 = 2.8439

s2 = 0.49241

H0 : μ1 - μ2 = 0

H1 : μ1 - μ2 ≠ 0

Test statistic :

The test statistic :

(x1 - x2) / sqrt[(s1²/n1 + s2²/n2)]

(2.7386 - 2.8439) / sqrt[(0.65342²/125 + 0.49241²/88)]

−0.1053 / sqrt(0.0034156615712 + 0.0027553)

-0.1053 /0.0785554

= - 1.34

Test statistic = - 1.34

The Pvalue :

Using df = smaller n - 1 = 88 - 1 = 87

Pvalue from test statistic score ;

Pvalue = 0.1837

Pvalue > α ; We fail to reject the null and conclude that the GPA does not differ.

At α = 0.01 ; the result is insignificant

6 0
2 years ago
EXPERT HELP I'LL GIVE BRAINLIEST:
ICE Princess25 [194]

Answer:

990, C

Step-by-step explanation:

The formula for the surface area of the bottom cushion is

A = 2wl + 2lh + 2hw (w is width, l is length, h is height)

w = 18, l = 21, h = 3

A = 2(18)(21) + 2(21)(3) + 2(3)(18)

A = 2(378) + 2(63) + 2(54)

A = 756 + 126 + 108

A = 990 (C)

5 0
3 years ago
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