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3 years ago

What is 1/2 to the fifth power in fraction form?

Mathematics

2 answers:

Tamiku [17]3 years ago

8 0

Answer:

1/32

Step-by-step explanation:

1/2^5 = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

babunello [35]3 years ago

5 0

The answer would be 1/32

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Can you help with both questions 4 and 5?

cupoosta [38]

Well since the triangle is split into 2 triangles and they both are the same size so BD on the bottom is 15 which means naturally BC must be 30. Five I'm not sure about

8 0

3 years ago

Read 2 more answers

An office manager has received a report from a consultant that includes a section on equipment replacement. the report indicates

wolverine [178]

Answer:

a) 22.663%

b) 44%

c) 38.3%

Explanation:

An office manager has received a report from a consultant that includes a section on equipment replacement. The report indicates that scanners have a service life that is normally distributed with a mean of 41 months and a standard deviation of 4 months. On the basis of this information, determine the percentage of scanners that can be expected to fail in the following time periods:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 41 months

σ is the population standard deviation = 4 months

a. Before 38 months of service

Before in z score score means less than 38 months

Hence,

z = 38 - 41/4

z = -0.75

Probability value from Z-Table:

P(x<38) = 0.22663

Converting to percentage = 0.22663 × 100

= 22.663%

b. Between 40 and 45 months of service

For x = 40 months

z = 40 - 41/4

z = -0.2

Probaility value from Z-Table:

P(x =40) = 0.40129

For x = 45

z = 45 - 41/4

z = 1

Probability value from Z-Table:

P(x = 45) = 0.84134

Between 40 and 45 months of service

= 0.84134 - 0.40129

= 0.44005

Converting to Percentage

= 0.44005 × 100

= 44.005%

= 44%

c. Wihin ± 2 months of the mean life

+ 2 months = 41 months + 2 months

= 43 month

- 2 months = 41 months - 2 months

= 39 months

For x = 43

z = 43 - 41 /4

z = 0.5

P-value from Z-Table:

P(x = 43) = 0.69146

For x = 39

z = 39 - 41/4

z = -2/4

z = -0.5

Probability value from Z-Table:

P(x = 39) = 0.30854

Within ± 2 months of the mean life

= 0.69146 - 0.30854

= 0.38292

= 38.3%

Learn more about z-score:

brainly.com/question/17436641

#SPJ4

4 0

2 years ago

DIVIDING POLYNOMIALS:

Dvinal [7]

Answer:

Step-by-step explanation:

6 0

2 years ago

What adds up to -54 and multiplies to -16

Kaylis [27]

X + y = -54
xy = -16

$xy = -16$
$\frac{xy}{x} = \frac[-16}{x}$
$y = \frac{-16}{x}$

$x + y = -54$
$x + \frac{-16}{x} = -54$
$\frac{x^{2}}{x} + \frac{-16}{x} = -54$
$\frac{x^{2} - 16}{x} = -54$
$x^{2} - 16 = -54x$
$x^{2} + 54x - 16 = 0$
$x = \frac{-(54) \± \sqrt{(54)^{2} - 4(1)(-16)}}{2(1)}$
$x = \frac{-54 \± \sqrt{2916 + 64}}{2}$
$x = \frac{-54 \± \sqrt{2980}}{2}$
$x = \frac{-54 \± 59.6}{2}$
$x = -27 \± 29.8$
$x = -27 + 29.8$ $or$ $x = -27 - 29.8$
$x = 2.8$ $or$ $x = 56.8$

x + y = -54
  2.8 + y = -54
- 2.8 - 2.8
y = -56.8
(x, y) = (2.8, -56.8)

or

  x + y = -54
  -56.8 + y = -54
+ 56.8 + 56.8
y = 2.8
  (x, y) = (-56.8, 2.8)

The two numbers that add up to -54 and multiply to -16 are -56.8 and 2.8.

8 0

3 years ago

Alex wrote the expanded form for the number 165.038 as 100+60+5+30+8. Was he correct? If not give expanded form.

oksano4ka [1.4K]

We have the next number