Christy buys 3 1/4 pounds of pork roast and 5 1/2 pounds of beef roast. She pays a total of $67.50. The pork costs $0.50 per pound less than the beef. What is the combined cost of one pound of pork and one pound of beef?

The margin of error is multiplied by √2.

Given that All else is equal if you cut the sample size in half and to make a statistical inference about the mean of the normally distributed population from which it was drawn ME=(z+s)/√n.

Margin of error (ME) from the mean can be calculated using the formula ME=(z+s)/√n where

z means it is the corresponding statistic of the given confidence level

s means it is the standard deviation of the sample (or of the population if it is known)

N is the sample size

As we know margin of error is proportional with inverse of √N,

If we will cut the sample size in half, the margin of error is multiplied by √2.

Hence, if sample size is cut in half then the margin of error when using the sample to make statistical inferences about the mean of the normally distributed population from which it was drawn is √2.

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a) The meaning of the point (t, s) = (5, 6) is that the backpacker travels a distance of 5 miles in 6 hours.

b) The equation of the relationship between the distance traveled by the backpacker and time taken is equal to s = (6 / 5) · t.

According to the image attached aside, we find that the distance traveled by the backpacker (s), in miles, is directly proportional to the time taken (t), in hours. In other words, we have the following relationship:

s ∝ t

s = k · t      (1)

Where k is the constant of proportionality, in miles per hour.

a) The meaning of the point (t, s) = (5, 6) is that the backpacker travels a distance of 5 miles in 6 hours.

b) To determine the equation of the relationship, we need to calculate the constant of proportionality. If we know that t = 5 h and s = 6 mi, then the equation of the relationship is:

6 = 5 · k

k = 6 / 5

s = (6 / 5) · t

The equation of the relationship between the distance traveled by the backpacker and time taken is equal to s = (6 / 5) · t.

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The product, in scientific notation, can be rewritten as:

3.4196*10²⁵

We want to find the product between the two numbers:

(4.12*10⁹)*(8.3*10¹⁵)

To take it, we can rewrite the product as:

(4.12*8.3)*(10⁹*10¹⁵)

(34.196)*(10⁹⁺¹⁵)

(34.196)*10²⁴

Now, to get this in scientific notation, we need to have only one digit in the left side of the decimal point, then we can rewrite:

(34.196)*10²⁴ = 3.4196*10²⁵

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Answer:

Ok, since this is not a multiple choice question, I'll tell you how I would write it.

Step-by-step explanation:

It stopped snowing for 10 to 12 hours after the storm and then started snowing again. This is because you can see that the y value (amount of snow on the ground in inches) has no change between 10 to 12 hours after the storm began.

For the second part, Think of the independent variable as the cause(its value is independent of other variables) and the dependent variable as the effect, essentially the value that depends on changes in the independent variable. In this case it tells you that the perimeter of a square depends on the length, so that means that the length is independent and the perimeter of the square is dependent. So, the dependent variable is the perimeter, because the perimeter of a square depends on the length.

A function relating these variables is K(x) = y since the dependent variable (y) depends on the independent variable (x)

Now for the last part that says So K(5) = ___ meaning if 5 ___ I don't really understand what it is asking for, since K(x) = y then K(5) would equal whatever y is when x is 5, but k(5) could also equal 5k if we were just evaluating.

180ML of 50% solution are needed.

Finding an equation's solutions, which are values (numbers, functions, sets, etc.) that satisfy the equation's condition and often consist of two expressions connected by an equals sign, is known as solving an equation in mathematics. One or more variables are identified as unknowns when looking for a solution. An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root.

EXPLANATION : To solve this question, we have initial stock solution of 10% and 50% concentration. We need to make final solution of 25% concentration of volume 16oz. [tex](1oz \approx 30ml)[/tex]

To find :- Volume of 50% required

Let us assume we require x oz volume of 50% stock Solution , Then volume of 10% stock added will be (16-x) oz.

Formula used here:-   C1V1 + C2V2 = C3V3

Where C1 = 50% = 0.5 , V1 = x oz    &   C2 = 10%= 0.1  , V2= 16-x oz

C3 = 25% = 0.25 ,  V3= 16oz

Putting values we have

(0.5*x) + (0.1(16-x)) = 16*0.25

0.5x + 1.6 - 0.1x = 4

x = 6

Hence Volume of 50% solution = x = 6 oz = 6*30 ml  = 180ml

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Answer:

Remove the negative from the 1 on the first increasing interval

Possible ways there are for at least one of the spinners to land on the pink is 2 / 3.

Given spinner A has pink, black, and blue sections.

The number of possible outcomes of spinner A to land not on pink is 2/3

Given spinner B has pink and black sections.

So, the number of possible outcomes of spinner B to land not on pink is 1/2

Annabelle spins each spinner once

possible ways not land on pink = 2/3 * 1/2 = 1/3

Possible ways there are for at least one of the spinners to land on the pink is  

= 1 - possible ways not to land on the pink

= 1 - 1/3

= 2 / 3

Possible ways there are for at least one of the spinners to land on the pink is 2 / 3.

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Answer:

-4-9=-13

Step-by-step explanation:

Answer: 20 years

Step-by-step explanation:

Let M be the sum of money invested.

Given Sum of money doubles itself in 10 years.

Then, M will become 2M in 10 years.

Now we can calculate interest for ten years as given below.

From the above calculation, M is the interest for the first 10 years.

In simple interest, interest earned will be the same every year.

So, interest earned in the next 10 years also will be M.

So it will take 20 years.

Thank you if you can give me a brainliest.

Answer:

Randall and the most money. she earned 50 cents more than Stephano did.

Step-by-step explanation:

so it's Randall makes $27.50 on his first day and $25 on a second date and and 32.50 on his third day you would add those up to get $85 in all. now Stefano gets 7.50 22.50 12.50 15.00 and 17.00 dollars , and when you add all those together he gets 84.50 and all. meaning that random made more money by .50 cents.

By using Pythagorean theorem, the shortest distance between planet Q and planet R is 1.25 × 10⁷ kilometers (12.5 million kilometers).

The picture shows the geometry between three planets, which represents the three vertices of a right triangle, the straight line distance between the points Q and R represents the hypotenuse of the right triangle. The hypotenuse can be found by using the Pythagorean theorem:

QR = √(PQ² + PR²)

Where QR is the hypotenuse of the right triangle, in kilometers.

If we know that PQ = 3.5 × 10⁶ km and PR = 1.2 × 10⁷ km, then the distance between planet Q and planet R is:

QR = √[(3.5 × 10⁶ km)² + (1.2 × 10⁷ km)²]

QR = 1.25 × 10⁷ km

The shortest distance between planet Q and planet R is 1.25 × 10⁷ kilometers (12.5 million kilometers).

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Answer:

goooooood luccckkkk.....

Answer:

.549 (all under bar/repeted)

Step-by-step explanation:

The linear equation for the moose population p as a function of t the years since 1986 is P(t) = 380t + 2920.

The equations with two variables where each variable has the largest exponent order of 1 having one, zero, or an infinite number of solutions, and are referred to as linear equations in two variables. A linear equation with two variables has the conventional form ax + by + c = 0, where x and y are the variables. Additionally, the answers can be expressed as ordered pairs, like (x, y).

Linear equations have three main forms which are as follows:

We will consider x on the graph to be years since 1986 and y on the graph to be the number of Moose.

We have two points on the graph:  (6, 5200) and (11, 7100)

Using the slope formula m = (y2 - y1)/(x2 - x1), we can find the slope of this line:

m = (y2 - y1)/(x2 - x1)                

m = (7100 - 5200)/(11 - 6)          

m =  1900/5                            

m = 380                                  

Now, that we have the slope of the line, we can use the point-slope formula (y - y1) = m(x - x1) to find the equation for the line.  Here, we're using the first point, but either point will produce the same answer.

(y - y1) = m(x - x1)                                    

y - 5200 = 380(x - 6)                            

y - 5200 = 380x - 2280                            

y - 5200 + 5200 = 380x - 2280 + 5200    

y = 380x + 2920                                    

Since the equation that is being sought is supposed to be in terms of P and t, We will replace y with P and x with t.

Hence, the equation will be P(t) = 380t + 2920.

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Answer:

See below

Step-by-step explanation:

xpand R sid to get

5r+1  = am + ar        subtract 'ar' from both sides

5r - ar    +  1   = am    factor out 'a'

r ( 5-a)  + 1 = am

r (5-a) = am-1          divide both sides by  ' 5-a'

r = (am-1 ) / (5-a)

Answer:

second is obtuse angle .

Step-by-step explanation:

5. 160°

6. 120°

[im not sure what they're asking for but if its degree then this is the answer]

From the intercepts of the given graph, we have that:

Morgan’s house is located 35 miles from Robin's house, and it took Robin 40 minutes to drive that distance.

For this problem, the axis are given as follows:

The intercepts are given as follows:

y = 35, x = 40.

Hence:

Morgan’s house is located 35 miles from Robin's house, and it took Robin 40 minutes to drive that distance.

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By using the definition of similarity and the dimensions of each rectangle, a rectangle with d = 72 and c = 45 fulfills the height to width ratio of 8 / 5. (Correct choice: C)

Two rectangles are similar if both hold the same height to width ratio. Mathematically speaking, the two rectangles must fulfill the following requirement:

b / a = d / c            (1)

Where:

If a = 50 and b = 80, then the ratio of the second rectangle must be:

d / c = 8 / 5

By direct comparison with any of the four choices, we find that a rectangle with d = 72 and c = 45 fulfills the height to width ratio of 8 / 5.

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The slope is 2 exactly.

The function of amount paid in terms of kilograms of dalandan is A= 55k.

According to the statement

We have to find that the amount paid in terms of kilograms of dalandan.

So, For this purpose, we know that the

The Amount generally refers to a quantity, sum of two or more quantities.

From the given information:

The Php. 55 cost of dalandan

And then

Let A stands for paid amount

k stands for number of kg of dalandan

Amount = Cost × No. of items

Amount = 55 × k

A = 55 × k

A = 55k

So, The function of amount paid in terms of kilograms of dalandan is A is 55k.

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13) Vertex = (1, -5)

y - intercept = -6

x - intercept is non - existent

The parabola opens downward.

13) We are given the parabolic function;

y = -x² + 2x - 6

x of vertex = x of axis of symmetry: x = -b/2a = -2/(2 * -1) = 1

y of vertex; y = f(1) = -(1)² + 2(1) - 6 = -5

Vertex = (1, -5)

y - intercept = -6

x - intercept is at y = 0 and as such are; (1 + √-5) and (1 - √-5)

Since a < 0, the parabola opens downward.

14) We are given the parabolic function;

y = -3(x - 2)² + 12

y = -3(x² - 4x + 4) + 12

y = -3x² + 12x - 12 + 12

y = -3x² + 12x

x of vertex = x of axis of symmetry: x = -b/2a = -12/(2 * -3) = 2

y of vertex; y = f(2) = -3(2)² + 12(2) = 12

Vertex = (2, 12)

y - intercept = 0

x - intercept is at y = 0 which is x = 4

Since a < 0, the parabola opens downward.

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Answer:

EQ = 47

Step-by-step explanation:

Since Q is midpoint, EQ = QF

or EQ = EF/2

5x + 2 = (9x + 13)/2

10x + 4 = 9x + 13

10x - 9x = 13 - 4

x = 9

EQ = 5x + 2 = 5(9) + 2 = 45 + 2 = 47

The probability that a five-card hand will contain a straight = 5/1274

There are 52 cards in a deck from which each 13 cards are from 4 different suits (clubs, diamonds, spades and hearts) in a game of poker.

Each 13 cards from high to low are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King. So a straight of five cards, i.e., five cards in unbroken numerical sequence would be got only from 10 cards in a sequence.

So the possible ways to get a single straight five from all four suits = [tex]4^5[/tex]

Now as we doesn't need all 5 cards from a single suit, we can ignore 4 ways from the above number. i.e.,  [tex]4^5-4 = 1020[/tex] ways.

Hence the possible ways to get a straight five from 10 cards from all four suits = 10 x 1020 = 10200 ways

Total number of ways to select 5 cards from 52 cards = 52C5

Thus,

The probability that a five-card hand will contain a straight = 10200 / 52C5

                                                                                                  = 5/1274                        Learn more about probability at https://brainly.com/question/5858025

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An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The numbers are 15 and 7.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

We have,

Let the two numbers be M and N.

The difference between the two numbers is 8.

i.e M - N = 8

M = 8 + N ____(1)

When twice the first number is added to three times the second number, the result is 51.

Let the first number = M

i.e 2M  + 3N = 51 _____(2)

Now,

2 ( 8 + N )  + 3N = 51

16 + 2N + 3N = 51

5N = 51 - 16

5N = 35

N = 7 put in (1)

M = 8 + 7 = 15

Thus the numbers are 15 and 7.

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The computation shows that there can be 14 7s that will be needed.

From the information, the gym lockers are to be numbered from 1 through 99 using metal numbers to be nailed onto each locker.

The number of 7s that can be found will be:

= 99/7

= 14

Therefore, there can be 14 7s.

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This rule apply to triangles in spherical geometry If there another value that they would always sum to greater than 180 degrees.

Euclidean geometry is the study of geometrical shapes (plane and solid) and figures based on different axioms and theorems.

In spherical geometry, angles are defined between great circles, resulting in a spherical trigonometry that differs from ordinary trigonometry in many respects; for example, the sum of the interior angles of a spherical triangle exceeds 180 degrees.

Thus, this rule apply to triangles in spherical geometry If there another value that they would always sum to greater than 180 degrees.

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According to the given statement  8.4E9 can be written in scientific notation as 8.4 × 10⁹

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation.

If a number between 1 and 10 is multiplied by a power of 10, the result is written in scientific notation.

The major benefit of scientific notation is that it enables us to scale down extremely large or extremely small numbers into sizes that are much easier to handle. These numbers are much simpler to work with when they are written in scientific notation.

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It depend on the repeating part.

If x = 0.393939… (the repeating part is underlined), then 100x = 39.393939…, and

100x - x = 39.393939… - 0.393939…

99x = 39

x = 39/99 = 13/33

On the other hand, if you mean x = 0.3999…, then 10x = 3.999… and 100x = 39.999…, so that

100x - 10x = 39.999… - 3.999…

90x = 36

x = 36/90 = 2/5