Simplify ∛g^6h^30
a: g^3h^10
b: g^2h^10
c: 2gh^5

Answer:

Step-by-step explanation:

area of grass= area of whole thing- area of sand

area of whole thing = 5*7= 35

area of sand= 3*3= 9

35-9= 26

Answer:

Step-by-step explanation:

Area of the grass= area of whole thing - area of sand

area of whole thing = 5*7= 35

area of sand= 3*3= 9

35-9= 26

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{47.5\% of 1600}}{\left( \cfrac{47.5}{100} \right)1600}\implies 760~\hfill \underset{ females }{\stackrel{1600~~ - ~~760 }{\text{\LARGE 840}}}\)

Answer: 200

Step-by-step explanation:

first, you set up your proportion. (23% at the top right, 100 at the bottom right, 46 at the top left, and x and the bottom left.) next, you multiply x * 23% = 23x then 46*100 = 4600. 4600 divided by 23 = 200. therefore, x = 200. please let me know if you have further questions!

Good luck !

Answer:

The expression is:

\((5*6.50)+(3*24)-12=t\)

The total Bella paid is:

$92.50

Step-by-step explanation:

5 shirts at $6.50 each

3 pairs of pants at $24.00 each

12 dollar discount

Let "t" be the total Bella paid.

\((5*6.50)+(3*24)-12=t\)

\((32.50)+(3*24)-12=t\)

\((32.50)+(72)-12=t\)

\(32.50+72-12=t\)

\(104.5-12=t\)

\(92.5=t\)

Therefore , the solution of the given problem of standard deviation comes out to be the value of x=48 is 0.4853 standard deviations away from the mean.

Statistics uses variance to measure variation. The square root with that number is used to compute the average variation here between data and the mean. In contrast to certain other quantifiable measures of variability, it takes into account all datasets in its calculations by comparing each result to the mean. Variations could be caused by internal or external forces, and they might involve things like unintended mistakes, inflated expectations, and shifting economic or commercial conditions.

Here,

Given :

Standard deviation is 12.59, with a mean of 54.11

X=48

employing the z-formula

=> z = x -u / α

Values are replaced to produce

=> z = 48 -54.11/12.59

the z value is

z= - 0.4853

As a result, it can be shown that the value of x=48 is 0.4853 standard deviations away from the mean.

Therefore , the solution of the given problem of standard deviation comes out to be the value of x=48 is 0.4853 standard deviations away from the mean.

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The complete question is " The annual rainfall in a town has a mean of 54.11 inches and a standard deviation of 12.59 inches. Last year there was rainfall of 48 inches. How many standard deviations away from the mean is that? Round your answer to two decimal places."

a) The probability of getting exactly 5 successes is  0.1029.

b)The  probability of getting 6 or more successes is 0.8497510126.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Here, p = 0.7, q = 0.3 and n = 10

a) The probability of getting exactly 5 successes

P (x= 5) = C(10, 5) (0.7)⁵ (0.3)⁵

             = 10!/ 5! 5! x 0.16807 x 0.00243

             = 0.1029

b)The  probability of getting 6 or more successes

P(X≥6) = 1 - P(X<6)

           = 1 - P(X = 0, 1,2, 3, 4, 5)

           = 1 - [ P(0) + P(1)  P(2) + P(3) + P(4) + P(5)]

           = 1 - [C(10, 0) \((0.3)^{10\) + C(10, 1) (0.7) \((0.3)^{9\) +  C(10, 2) (0.7)² \((0.3)^{8\)

                     + C(10, 3) (0.7)³ \((0.3)^{7\) + C(10, 4) \((0.7)^4\)\((0.3)^{6\)  + C(10, 4) \((0.7)^5\)

                                                                                                    \((0.3)^{5\)  ]

          = 1 - [ 0.0000059049 + 0.000137781 + 0.0014467005 +

                    0.009001692 + 0.036756909 +  0.1029]

          = 1 - 0.1502489874

          = 0.8497510126

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Answer:

We know that the distributive property says this:

a(b+c) = ab + ac

If we apply this to our case, we can put

3a(2b+c) = 3a * 2b + 3a * c

When we multiply numbers and letters, we should multiply both of them:

3a * 2b + 3a * c = 3*2*a*b + 3*a*c = 6ab +3ac

We can use this when we find a number multiplied by a parenthesis..

Answer:

6ab + 3ac

Step-by-step explanation:

3a(2b) + 3a(c)

6ab + 3ac

Hello there. To solve this question, we'll find how many times George's grandpa is older than his grandson.

First, this is also called the ratio of the ages between George and his grandpa.

To find this, we divide their ages in the order Grandpa : Grandson as following:

Simplify the fraction by a factor of 8

This is how many times George's grandpa is older than him.

The mean of 200 people with the genetic mutation will be 14.

In the question,

we are given that 7% of the population has a particular genetic mutation.

that is a probability of genetic mutation

P=7%

7%=7/100

number of people (n) = 200

mean = np (from binomial distribution)

=200*7/100

=200*0.07

=14

thus the mean of 200 people with the genetic mutation will be 14.

what is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

what is binomial distribution?

In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each containing its own Boolean-valued results: "success or failure".

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Answer:

Inverse property

Step-by-step explanation:

3/4 is the reciprocal of 4/3 which means they would cancel each other out. So you would only be left with x=x

Answer:

The answer is 470(32-n).

Step-by-step explanation:

Given:

There were 32 volunteers to donate blood. Unfortunately, n of the volunteers did not meet the health requirements, so they couldn't donate. The rest of the volunteers donated 470 milliliters each.

Now, to find milliliters of blood the volunteers donate.

Total volunteers = 32.

The number of volunteers couldn't donate = n

The rest of volunteers who donated = 32 - n

Milliliters of blood the rest of each volunteers donated = 470 milliliters.

Now, to get the milliliters of blood the volunteers donate, we multiply the number of rest of volunteers who donated blood by the milliliters of blood they donated: 470(32 - n)

Therefore, the answer is 470(32-n).

The missing values in the diagram given that figure ABCD is a dilation of figure KLMN, are:

AB = 4

LM = 20

∠B = 98.87°

∠N = 141.87°

Dilation is a form of transformation whereby a new figure is formed by enlarging or reducing an original figure by a scale factor. After dilation, the corresponding sides of both figures are proportional, while the corresponding angles of both figures are congruent to each other.

Find AB:

AB/KL = DC/NM

Plug in the values

AB/10 = 4/10

AB(10) = 4(10)

AB = 40/10

AB = 4

Find LM:

BC/LM = DC/NM

Plug in the values

8/LM = 4/10

8(10) = 4(LM)

LM = 80/4

LM = 20

∠B = ∠L = 98.87°

∠N = ∠D = 141.87°

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Rounded to the nearest tenth, the angle between the two vectors is approximately 1.8. To find the dot product between two vectors, we multiply their corresponding components and sum the results.

To find the dot product between two vectors, we multiply their corresponding components and sum the results. Let's denote the two vectors as v and w. Given that the components of v are 1 and -5, and the components of w are -5 and 0, the dot product can be calculated as follows:
v · w = (1 * -5) + (-5 * 0) = -5 + 0 = -5
Now, let's find the angle between the two vectors. The dot product can be used to find the angle using the formula:
cos(theta) = (v · w) / (||v|| * ||w||)
Where ||v|| and ||w|| represent the magnitudes (lengths) of the vectors. In this case, both vectors have a magnitude of \(\sqrt(26)\).
Substituting the values into the formula:
cos(theta) = -5 / \((\sqrt(26) * \sqrt(26))\) = -5 / 26
To find the angle theta, we can use the inverse cosine function:
theta = acos(-5 / 26)
Evaluating the expression gives:
theta ≈ 1.810
Rounded to the nearest tenth, the angle between the two vectors is approximately 1.8.

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Answer:

The answer is -2 and 5

Step-by-step explanation:

I did the test!

Have a great day

 o-----o

 ( ' (x) ' )

c (") _ (")

:)

Answer

The slope of segment AB is equal to the slope of the segment BC.

Explanation

Similar triangles have the same set of interior angles.

And it is one these angles, that determines the slope of the line segment AB or BC.

For the two triangles, that angle is the same because they are similar triangles.

So,

The slope of segment AB is equal to the slope of the segment BC.

Hope this Helps!!!

Answer:A!

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Its A because the plants you see in deserts need water to germinate themselves. Its like cactus. They absorb water like camels store water in their humps.

Answer:

A:1,142 miles.

B; 187.30

C; 4

A representative sample based on the hospital scenario is option A

A subset of a larger population that accurately reflects the traits, diversity, and distribution of the total population is referred to as a representative sample.

Due to time, financial, or logistical limitations, it is frequently not possible or practical to investigate an entire population when conducting research or gathering data. In these situations, researchers choose a representative sample from which to deduce generalizations about the total population.

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The question is incomplete. Here is the complete question.

Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements.

A. Segment EF is twice as long as segment AB.

B. Segment CD is twice as long as segment FG

C. The measure of angle HEF is twice the measure of angle DAB

D. The length of segment EH is 16 units.

E. The area of EFGH is twice the area of ABCD.

Answer: A. Segment EF is twice as long as segment AB

              D. The length of segment EH is 16 units

              E. The area of EFGH is twice the area of ABCD

Step-by-step explanation: One quadrilateral which is scaled copy of another quadrilateral means both quadrilateral are similar, i.e., they have congruent angles (same angles) but different sides lengths.

Comparing side GH with side CD, you notice GH's length is twice the side CD. This relationship between each corresponding sides is called scale factor.

Analysing statements above:

A. This statement is correct because segments EF and AB are corresponding sides, so EF will be twice as much as AB;

B. This is incorrect because they are not corresponding sides, so they are not related;

C. Is incorrect because measure of angle in similar quadrilateral has the exact same angle;

D. Statement is correct because if segment AD is 8 units, the corresponding segment EH will be:

EH = 2 x 8 = 16 units

E. Tis statement is correct because area of quadrilateral ABCD is proportional to the area of quadrilateral EFGH by the scale factor, therefore, area of EFGH is twice the area of ABCD.

Answer:

Step-by-step explanation:

(4x^4 - 1)(4x^4 + 1)

(2x^2 - 1)(2x^2 + 1)(4x^4 + 1)

False. The quantity consumed in a base period is not an example of a weight used in the calculation of a weighted index.

In the calculation of a weighted index, a weight is a factor used to assign relative importance or significance to different components or categories included in the index. These weights reflect the contribution of each component to the overall index value. The purpose of assigning weights is to ensure that the index accurately reflects the relative importance of the components or categories being measured.

An example of a weight used in a weighted index could be market value, where the weight is determined based on the market capitalization of each component. This means that components with higher market values will have a greater weight in the index calculation, reflecting their larger impact on the overall index value.

On the other hand, the quantity consumed in a base period is not typically used as a weight in a weighted index. Instead, it is often used as a reference point or benchmark for comparison. For example, in a price index, the quantity consumed in a base period is used as a constant quantity against which the current prices are compared to measure price changes.

Therefore, the statement that the quantity consumed in a base period is an example of a weight used in the calculation of a weighted index is false.

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To find the probability of randomly selecting a tree or a flower from the stack of 30 science flashcards, we need to first determine the total number of tree and flower cards. Since there are 8 tree cards and 8 flower cards, the total number of cards for tree and flower is 8+8 = 16. The total number of cards in the stack is 30. Thus, the probability of selecting a tree or a flower is the ratio of the number of tree and flower cards to the total number of cards, which is:

P(tree or flower) = 16/30

Simplifying this expression, we get:

P(tree or flower) = 8/15

Therefore, the probability of randomly selecting a tree or a flower from the stack of 30  randomly selecting is 8/15. This means that out of 15 cards, 8 of them will either be a tree or a flower.

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The solution of the inequality 3(n - 6) > 2(n + 12) will be less than 42. Then the correct option is D.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

3(n - 6) < 2(n + 12)

Simplify the inequality, then we have

3(n - 6) < 2(n + 12)

3n - 18 < 2n + 24

3n - 2n < 24 + 18

n < 42

The solution of the inequality 3(n - 6) > 2(n + 12) will be less than 42. Then the correct option is D.

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Answer:

Hello There!!

Step-by-step explanation:

I think it is the second option as you use the formula for finding out the area of a triangle which is b×h/2 so 18×6=108 then divide by 2 or half it which gets the answer of 54mi^2.

hope this helps,have a great day!!

~Pinky~

Answer:

54m^2

Step-by-step explanation:

Area of triangle is base * height /2

18*6/2

108/2

54

Answer:

is just a "place-holder" or "variable.

If

f

x

=

x

+

7

then (using a different variable)

f

(

t

)

=

t

+

5

or

using a constant

f

(

x

)

=

5

+

7

Since

5

+

7

=

12

for the given example

f

(

5

)

=

12

Answer:

I think B

Step-by-step explanation:

13.77 times the number of people gives you your answer, so probably C=13.77p

Answer:

151 inches

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Because 5/8 was eaten of a 1/2 pan, you multiply 1/2 by 5/8 which equals 5/16.

(hope this helps :P)

Answer:

what do you need help with which part

Step-by-step explanation: