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ivann1987 [24]
3 years ago
13

I need to graduate please.Which expression is a perfect cube? x^8 y^24 m^26 s^64

Mathematics
1 answer:
myrzilka [38]3 years ago
8 0
Remember
(a^b)^c=a^{bc}

note that if a^3 is a perfect cube then (a^3)^c is also a perfect cube when c is an integer

(a^3)^c=a^{3c}
so if a number is a perfect cube then the power must be divisible by 3

8 is not divisible by 3
24 is divisible by 3
26 is not divisibley by 3
64 is not divisible by 3

the perfect cube is y^24
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Zucchini weights are approximately normally distributed with mean 0.8 pound and standard deviation 0.25 pound. Which of the foll
Charra [1.4K]

Answer:

0.81859

Step-by-step explanation:

We solve using z score method

The formula for calculating a z-score is is z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Mean 0.8 pound

Standard deviation 0.25 pound

For x = 0.55 pound

z = 0.55 - 0.8/0.25

= -1

Probability -value from Z-Table:

P(x = 0.55) = 0.15866

For x = 1.3 pounds

Z = 1.3 = 0.8/0.25

= 2

Probability value from Z-Table:

P(x = 1.3) = 0.97725

The probability that a randomly selected zucchini will weigh between 0.55 pound and 1.3 pounds is

P(x = 1.3) - P(x = 0.8)

0.97725 - 0.15866

0.81859.

6 0
3 years ago
The ages of three children in a family can be expressed as consecutive integers. The square of the age of the youngest child is
tensa zangetsu [6.8K]

Answer: 10, 11, & 12

<u>Step-by-step explanation:</u>

Let x represent the age of the youngest child.  

Their ages are consecutive so,

Youngest: x

Middle: x + 1

Oldest: x + 2

The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.

x² = 8(x + 2) + 4

x² = 8x + 16 + 4

x² = 8x + 20

x² - 8x - 20 = 0

(x - 10)(x + 2) = 0

x - 10 = 0     or      x + 2 = 0

  x = 10       or          x = -2

Since age cannot be negative, x = -2 is not valid

So, the Youngest (x) is 10

the Middle (x + 1) is 11

and the Oldest (x + 2) is 12

4 0
3 years ago
Can someone help me with this ASAP please?
svetoff [14.1K]

Answer:

x=-1 y=1/2

Step-by-step explanation:

do you need the step by step?

8 0
3 years ago
rachel is frosting the top of two cakes and wants to know which cake will require more frosting. one cake is round with a diamet
Jet001 [13]

Answer:

The square cake is has a larger area by about 40.73 square inches

Step-by-step explanation:

Find the area of the top of each cake.

The square cake has an area of 81 sq inches,   ( length x width = Area, the

                                                                                    length is 9)

The round cake has an area of 16π, which is about 50.27 square inches

  (A = πr², here r is 4, radius is half the diameter)

81 - 16π =  81 - 50.27 =  40.73 square inches

4 0
3 years ago
On the second day of a hiking trip, the tourists covered 17% bigger distance than on the first day. By how many percent did thei
finlep [7]
Speed=distance/time
suppose the distance of the first day is d, and the time is t
distance of the second day: d+0.17d=1.17d
time of the second day: t+0.2t=1.2t
speed of the second day: 1.17d/1.2t=0.975(d/t)=(1-0.025)(d/t)
so the speed of the second day is 2.5% slower than the first day. 
6 0
3 years ago
Read 2 more answers
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