Write a expression that shows 3 times the sixth power of 10

What is the value of x

harkovskaia [24]

Answer: x=37.8, you can solve by writing a proportion

7 0

2 years ago

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the cross sectional area of a cylinder is 614 cm 2 the height is 8cm what is the volume of the cylinder

Elina [12.6K]

Answer: Volume of the cylinder = $4912\ cm^2$

Step-by-step explanation:

Volume of cylinder = Area of base x height

Also, area of cross section = Area of base

Volume of cylinder = area of cross section x height

Given: Area of cross section = $614\ cm^2$

height = 8 cm

Volume of cylinder = 614 x 8

$= 4912 \ cm^2$

Hence, the volume of the cylinder = $4912\ cm^2$

6 0

1 year ago

The number of hours Layla worked each week for the first eight weeks of summer break are recorded below.

Rainbow [258]

Answer: The value of the center increases and the distribution has a smaller spread.

Step-by-step explanation:

Re - arranging the first value in ascending order , we have :

12 ,14, 16 , 19, 21 , 22 , 28 , 32

Median = 19 + 21 / 2

= 40/2

= 20

Also calculating the standard variation in order to know the spread , we need to first of all calculate the mean

Mean = 12 + 14 + 16 + 19 + 21 + 22 + 28 + 32 / 8

Mean = 164/8

Mean = 20.5

Therefore to calculate the standard deviation, we need to calculate the variance, which is

$(12-20.5)^{2}$ + $(14-20.5)^{2}$ + $(16-20.5)^{2}$ + $(19-20.5)^{2}$ + $(21-20.5)^{2}$ + $(22-20.5)^{2}$ + $(28-20.5)^{2}$ + $(32-20.5)^{2}$ / 8

Variance = 328/8

Variance = 41

Standard deviation = $\sqrt{variance}$

S.D = $\sqrt{41}$

S.D = 6.4

Also re arranging the second values , we have :

20 , 24 , 25 , 31

Median = 24 + 25 / 2

Median = 49/2

Median = 24.5

Calculating the S.D using the same format , the S.D = 3.9

Comparing the two we can conclude that the value at the center increases and the distribution has a smaller spread

8 0

2 years ago

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Determine whether each of these sets is the power set of aset,wherea and b are distinct elements. a) ∅ c) {∅,{a},{∅,a}} b) {∅,{a

bija089 [108]

Answer:

{∅, {a}, {b}, {a,b}}

Step-by-step explanation:

The value of power of a set is generalized by using the formula,

Power of a set (P) = 2^n where n is the number of element in the set.

Given two distinct elements a and b say;

A = {a,b}

n(A) = 2 i.e the number of elements in the set is 2. Therefore the power of the set will be 2^n which gives 2^2 = 4.

P(A) = 4 means there are 4 subsets of the given set. Subsets are sets of elements that can be found in the set. The subsets of element A will be;

{∅, {a}, {b}, {a,b}} which gives 4 elements in total.

Note that empty set ∅ is always part of the subset of any given set

3 0

2 years ago

You'd like to estimate the proportion of the 12,152 full-time undergraduate students at a university who are foreign students.

Minchanka [31]

Answer:

a) The data distribution consists of ( 7 )1's (denoting a foreign student) and ( 43 )0's (denoting a student from the U.S.).

b) The population distribution consists of the x-values of the population of 12,152 full-time undergraduate students at theuniversity, ( 6 )% of which are 1's (denoting a foreign student) and ( 94 )% of which are 0's (denoting a student from the U.S.).

c) The mean is ( 0.06 )

The standard deviation is ( 0.0336 )

The sampling distribution represents the probability distribution of the ( sample ) proportion of foreign students in a random sample of ( 50 ) students. In this case, the sampling distribution is approximately normal with a mean of ( 0.06 ) and a standard deviation of ( 0.0336 )

Step-by-step explanation:

5 0

2 years ago