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maya packs 26 books on her trip, but the books weigh 87 pounds. she takes out half the books and now her suitcase weighs 47 pounds. how much do half the books weigh. write an equation

Answers

Answer 1

Answer:

Answer:

The half of books: 43,5

the suitcase: 3,5

Step-by-step explanation:

26 books is equivalent to 87
half of the books: 26/2 =13
Equation: weigh=w Yo need to know if 87 pounds is for 26 books, how much is for 13 books. You multiply the number of books for the 87 pounds and divide by the number of books.
w= $(13*87)/(26)$
w= 43,5 pounds
To know the suitcase value you operate: 47-43,5= 3,5

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How many edges and vertices does a prism with 100 sided end faced have ? Please answer as quickly as possible ≈[infinity]

Answers

Answer:

We have 300 edges and 200 vertices

Step-by-step explanation:

A prism is basically a 2D shape which extends into three dimensions. Thus, it has two end faces, and one face for each side on the original shape.

In addition to the two 100-sided polygons at top and bottom, the prism will also have 100 rectangular faces.

We will solve this by Euler’s formula which ks:

V - E + F = 2

where;

V is the number of vertices (corners),

E is the number of edges

F is the number of faces (of any polyhedron).

Number of vertices is 100 surrounding the top while it's 100 at the bottom. So total V = 100 + 100 = 200 .

The number of edges is 100 at the top, and 100 at the bottom. Also an additional 100 separating the hundred vertical faces.

Total number of edges is;

E = 100 + 100 + 100 = 300.

Thus, we have 300 edges and 200 vertices

Please explain as well 4x+3y=24 6x+5y=346x+5y=34 x= y=

Answers

Answer:

x = 9 y = -4

Step-by-step explanation:

4x + 3y = 24 . (-5) ------> -20x -15y = -120 (A)

6x + 5y = 34 . (3) -------> 18x + 15y = 102 (B)

(A) + (B) ----------> -2x = -18 ---------> x = 9

4.9 + 3y = 24

3y = 24 - 36

3y = -12

y = -4

Of the last 100 customers entering a computer shop, 25 have purchased a computer. If the relative frequency method for computing probability is used, the probability that the next customer will purchase a computer is

Answers

Answer: 0.25

Step-by-step explanation:

The relative frequency of the customers that buy computers is equal to the number of customers that bought a computer divided the total number of customers that entered the shop.

p = 25/100 = 0.25

If we take this as the probability, then the probability that the next customer that enters the shop buys a computer is 0.25 or 25%

Final answer:

The probability that the next customer will purchase a computer, computed using the relative frequency method, is 0.25 or 25%.

Explanation:

The subject at hand relates to the basic concept of probability, specifically the method of computing probability using the relative frequency approach. This is a common topic within high school Mathematics, specifically within statistical studies.

To calculate the relative frequency probability of an event, one divides the number of times the event occurred by the total number of trials. In this case, the event is a customer purchasing a computer from the shop. Given that the event has occurred 25 times out of the last 100 trials (customers entering the shop), the relative frequency probability can be computed as follows:

Probability = (Number of times event occurred) / (Total number of trials) = 25 / 100 = 0.25 (or 25% when expressed as a percentage).

Therefore, using the relative frequency method of computing probability, the probability that the next customer will purchase a computer is 0.25 or 25%.

Learn more about Probability here:

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lled a 12:3:112:3:1 ratio. Such a model can provide the basis for the null hypothesis in a significance test. A cross of white and green summer squash plants gives the number of squash in the second generation F2:131F2:131 white squash, 3434 yellow squash, and 1010 green squash. Are these data consistent with a 12:3:112:3:1 dominant epistatic model of genetic inheritance( white being dominant)? The null hypothesis for the chi‑square goodness‑of‑fit test is

Answers

Here is the full question:

When a species has several variants of a phenotype passed on from generation to generation, we can form a hypothesis about the genetics of the trait based on Mendelian theories of genetic inheritance. For example, in a two-gene dominant epistatic model, the first gene masks the effect of the second gene, leading to the expression of three phenotype variants. Crossing the dominant and recessive homozygote lines would result in a second generation represented by a mix of dominant, intermediate, and recessive phenotype variants in the expected proportions: and respectively, also called a 12:3: 1 ratio.

Such a model can provide the basis for the null hypothesis in a significance test. A cross of white and green summer squash plants gives the number of squash in the second generation F2: 131 white squash, 34 yellow squash, and 10 green squash. Are these data consistent with a 12: 3: 1 dominant epistatic model of genetic inheritance( white being dominant)?

The null hypothesis for the chi-square goodness-of-fit test is

Answer:

The null hypothesis for the chi-square goodness-of-fit test is :

$\mathbf{H_o:p_(white) = (12)/(16), p_(yellow) = (3)/(16); p_(green) = (1)/(16) }$

Step-by-step explanation:

The objective of this question is to state the null hypothesis for the chi-square goodness-of-fit test.

Given that:

There are three colors associated with this model . i,e White , yellow and green and they are in the ratio of 12:3:1

The total number of these color traits associated with this model = 12 + 3 + 1 = 16

Thus ;

The null hypothesis for the chi-square goodness-of-fit test is :

$\mathbf{H_o:p_(white) = (12)/(16), p_(yellow) = (3)/(16); p_(green) = (1)/(16) }$

Pls help im a get my but beat if i don't get my grades up. so plz help me

Answers

Answer:

38 units

Step-by-step explanation:

Counting the fully filled as well as more than half filled as 1 unit, but ignoring the less than half field,

Since, there are no half filled,

Area= Number of fully filled+ Number of more than half filled

=38 units

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The formula for the volume of a cylinder is V 7r²h, where r is the radius of the cylinder and his the
height of the cylinder. Rewrite the formula to solve for h in terms of r and V.
G

Answers

Final answer:

To solve for the height of a cylinder in terms of its radius and volume, rewrite the formula as h = V/(7r²).

Explanation:

To rewrite the formula to solve for h in terms of r and V, we need to isolate h on one side of the equation. The given formula is V = 7r²h. To isolate h, we divide both sides of the equation by 7r². This gives us the formula: h = V/(7r²). This formula allows us to calculate the height of a cylinder given its radius and volume.