Last time Martha made fruit​ punch, she used x cups of pineapple juice and y cups of cranberry juice. What expression represents the total number of cups of punch Martha​ made?

Answer: x²+3x-4 i

Step-by-step explanation: pretty sure its A

Answer:

8+8-8×1

8+8-8

16-8

8 Ans.

The linear inequality to represent the temperature is -40 < x < 120

Linear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another algebraic expression of degree less than or equal to 1. There are several ways to represent various kinds of linear inequalities.

Linear inequalities are usually in form of  expressions where any two values are often compared by the inequality symbols such as, ‘<’, ‘>’, ‘≤’ or ‘≥’. These values could be numerical or algebraic or a combination of both.

But in this case, we wouldn't need that as we are only required to represent the problem with an inequality.

The linear inequality -40 < x < 120 shows that the outside air must be between the range of -40 degrees to 120 degrees.

This can be explained as the least temperature must be above -40°F and the highest temperature must not exceed 120°F

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If mean of 11 numbers is 7 one of the numbers, 13, is deleted then the mean of remaining 10 numbers is 6.4

The mean of 7 numbers = 11

We know,

Mean = Sum of the terms / Number of terms

Substitute the values in the equation

11 = Sum of the terms / 7

The sum of the terms = 11 × 7

= 77

Number 13 is deleted

Sum of the terms = 77 - 13

= 64

Number of terms = 11 - 1

= 10

The mean = Sum of the terms / Number of terms

Substitute the values in the equation

= 64 / 10

= 6.4

Hence, the mean of the remaining 10 numbers is 6.4

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a) The Odds of  pulling a red ball from the first bag is; 12.2%

b) The Odds of  pulling a red ball from the second bag = 10/85 = 0.1176 = 11.76%

We are given;

Number of white balls in first bag = 52

Number of green balls in first bag = 27

Number of red balls in first bag = 11

Total number of balls in first bag = 52 + 27 + 11 = 90 balls

Number of white balls in second bag = 25

Number of green balls in second bag = 25

Number of red balls in second bag = 10

Number of yellow balls in second bag = 25

Total number of balls in second bag = 25 + 25 + 10 + 25 = 85 balls

a) Odds(probability) of  pulling a red ball from the first bag = 11/90 = 0.122 = 12.2%

b) Odds(probability) of  pulling a red ball from the second bag = 10/85 = 0.1176 = 11.76%

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Answer:

Step-by-step explanation:

You want to find the distance traveled by light in km for periods of 1–5 seconds at a speed of 299,792,458 m/s.

The speed is given in meters per second, and the table values are wanted in kilometers. There are 1000 meters in 1 km, so it can be convenient to convert the speed to km/s before doing other calculations.

  (299,792,458 m/s) / (1000 m/km) = 299,792.458 km/s

The distance is found by multiplying the speed by time:

  d = 299,792.458t

It is convenient to let a calculator do the multiplication (and rounding). The attachment shows the result of using t = {1, 2, 3, 4, 5}.

The distances are, respectively, {299792, 599585, 899377, 1199170, 1498962} km.

Probability up to 4 decimal would be 0.0694.

Data: mean = 21.5, standard deviation Σ = 5

n = 55

μ = 21.5

n = 5 √55 = 0.6742

P( X < 20.5)

= P((μ X ) / Σbar X < (20.5 - 21.5) / 0.6742)

= P(z < -1.48)

= 0.0694              

Using standard normal table.

Probability = 0.0694

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2.

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The signed number to represent ''A car corporation produced 940 fewer cars this month than last'' is - 940.

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We calculate an expected value when the given data points have various probabilities of occurrence .

The expected value , applies best when we are performing the test or experiment  many times. For example, EV applies well to gambling situations to describe expected results for thousands of gamblers per day, repeated day after day after day. However, the EV does not very accurately predict one particular outcome on one specific test.

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Answer: it would be 18 candies that are left

Step-by-step explanation:  

I did the math

In 2000, cable was available in 45683700000 homes.

Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

In 1980, 17700000 = 25.8%\s1% = 4566600000

Then, in 2000, there were 45683700000 households (17 700 000 + 4566 600 000).

Comparing two amounts while rebasing the second amount to 100 is the simplest way to use percentages. Let's assume that we are interested in the proportion of employed women who are female.

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The difference in b-tree and b +tree, b -tree is a self balancing tree data structure that maintains sorted data and b +tree is a modified version of b -tree.

b -tree is used to sort the data with various pieces facilities such as insertion ,deletion and search etc  whereas b +tree is a modified version of b -tree providing all the functions smoothly and quickly .

In b -tree, both internal nodes and leaf nodes are used to store records and keys whereas in b +tree keys are stored in internal nodes whereas records are storing leaf nodes

In b +tree, no duplication is allowed but in b +tree duplication may occur

A b +tree usually preferred as an access structure to a data file as as the height of the tree remains balanced and less as compared to b -tree . We can assess the data stored in b +tree sequentially as well as directly . keys are used for indexing . Faster search queries as the data is stored only on a leaf nodes.

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The probability that the number 6 will appear between 150 and 200 times inclusively is 0.926.

In the given question, one thousand independent rolls of a fair die will be made.

We have to compute an approximation to the probability that the number 6 will appear between 150 and 200 times inclusively.

Let n=1000 are independent trails.

The probability of success is constant, p=1/6

The probability of success is not constant,

q=1-1/6 = 5/6

let X be the number of times the die shows a 6.

μ = np

μ = 1000*1/6

μ = 166.7

σ=√npq

σ=√1000*1/6*5/6

σ=√5000/36

σ=11.785

Now we used the correlation continuity for finding the probability that number 6 will appear between 150 and 200 times is

P(150≤X≤200)=P(X≤200)-P(X<150)

P(150≤X≤200)=P(Z≤(200+0.5-166.7)/11.785)-P(Z≤(150-0.5-166.7)/11.785)

P(150≤X≤200)=P(Z≤2.87)-P(Z≤-1.46)

P(150≤X≤200)=0.998-0.072

P(150≤X≤200)=0.926

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The volume for the largest box will be 1.056 foot³. This can find out by application of differentiation.

What is AOD?

AOD is nothing but application of differentiation. It implies scopes where we can use differentiation to make our calculations easy.

Here, given

Length and breadth = 2,3 foot

Let us consider length of side of square = x

So, after cutting squares left sides of rectangular sheet = 2-2x , 3-2x

So, volume = (2-2x)*(3-2x)*x

                v = 4x³ - 10x² + 6x

To find largest volume , [tex]\frac{dv}{dx}[/tex] = 0

                 [tex]\frac{dv}{dx}[/tex] = 12x² - 20x + 6

                12x² - 20x + 6 = 0

                x = 0.4 , 1.3

But, for 1.3 volume will be negative i.e. not possible.

So, volume = 2.2*1.2*0.4

                   = 1.056 foot³

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The vehicle can travel 12 miles per gallon of gasoline.

What is the Mixed fraction ?

A mixed fraction is one that is represented by both its remainder and quotient. Consequently, a mixed fraction is created by combining a whole number and a proper fraction.

What is the Rate ?

A rate is the comparison of two comparable amounts expressed in different units. If the ratio's denominator is written as a single unit of one of these quantities, and if it is assumed that this quantity can be modified systematically (i.e., is an independent variable), then the numerator of the ratio indicates the comparable rate of change in the other (dependent) variable.

The vehicle travels 13\frac{1}{2} by using 1\frac{1}{8} gallons of gasoline.

since the units are in mixed fraction, we can simplify it to simple fraction,

distance travelled= 13\frac{1}{2} = [(13 × 2) + 1] / 2 = 27/2 miles.

gasoline used= 1\frac{1}{8} = [(1×8)+1] /8 = 9/8 gallons.

∴ Miles per gallon of gasoline = distance travelled ÷ gasoline used

                                                  = 27/2 miles ÷ 9/8 gallons

                                                  = 12 miles per gallon of gasoline.

Hence, The rate of miles per gallon of gasoline is 12 miles/gallon of gasoline.

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The RMS speed of a molecule in Mars's atmosphere is; 345.11 m/s

The root mean square (RMS) speed of a gas molecule is simply defined as the classical average speed that a molecule possesses within a collection. The RMS speed of a gas is calculated using the equation:

υ = √(3RT/M)

Where;

R is the gas constant = 8.315 J/mol

T is the temperature (in Kelvin)

M is the molar mass of the gas

Temperature in degree kelvin = -63 + 273.15 = 210.15 K

Molar mass of carbon dioxide is: 44.01 g/mol = 0.04401 kg/mol

Thus;

υ = √(3 * 8.315 * 210.15/0.04401)

υ = 345.11 m/s

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The expression  -3/10 X (-8/15) is positive

Expression

Expression in mathematics has two or more variables, terms and constants. Also, arithmetic expression contains only numbers and mathematical operators and algebraic expression

The expression has negative sign and from mathematical calculation we already know the following relation:

+ x + = +

positive multiply by positive equals Positive

- x - = +

Negative multiply by Negative equals Positive

+ x - = -

Positive multiply by Negative equal Negative

hence,   - [tex]\frac{3}{10}[/tex] x - [tex]\frac{8}{15}[/tex]

The negative sign multiply by  -3/10 X (-8/15) sign will give positive.

Therefore, the expression  -3/10 X (-8/15) is positive.

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The probability that you take different colors in two"picks" is 31/45.

You could choose one red followed by one blue, one blue followed by one red, one blue followed by one black, one black followed by one blue, one black followed by one red, or one red followed by one black.

P( different colors) = P( one blue followed by one red ) +P( one red followed by one blue) + P( one blue followed by one black ) +P( one black followed by one blue) +P( one black followed by one red ) +P( one red followed by one black)

P(one blue followed by one red) = (10/20)( 6/19) = 3/19

P(one red followed by one blue) = (6/20)( 10/19) = 3/19

P(one blue followed by one black) = (10/20)( 4/19) = 2/19

P(one black followed by one blue) = (4/20)( 10/19) = 2/19

P(one red followed by one black) = (6/20)( 4/19) = 6/95

P(one black followed by one red) = (4/20)( 6/19) = 6/95

P(different colors )= 3/19 + 3/19 + 2/19 + 2/19 + 6/95 + 6/95
                                = 31/45

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Answer:

  A.  n ≥ 11

Step-by-step explanation:

You have a triangle with sides (n), (n-3), and 2(n-2). Its perimeter is at least 37 units, and you want to know the value of n.

The perimeter is the sum of the side lengths:

  P = (n) +(n -3) +2(n -2)

  P = n + n -3 +2n -4

  P = 4n -7

The perimeter is at least 37, so we have ...

  P ≥ 37

  4n -7 ≥ 37

  4n ≥ 44 . . . . . . . add 7

  n ≥ 11 . . . . . . . divide by 4

The value of n is at least 11.

The values are;

⇒ F ∩ H = Ф

⇒ F ∪ H = (- ∞, 7]

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

F and H are defined as;

F = {v | v < 4 }

H = {v | v ≥ 7 }

Now,

Since, F and H are defined as;

F = {v | v < 4 }

H = {v | v ≥ 7 }

Hence, The values are;

F ∩ H = {v | v < 4 } ∩  {v | v ≥ 7 }

         = Ф

And, F ∪ H = {v | v < 4 } ∪  {v | v ≥ 7 }

                 = (- ∞, 7]

Thus, The values are;

⇒ F ∩ H = Ф

⇒ F ∪ H = (- ∞, 7]

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Option D √128 unit is the precise distance between the two points (-4, -2) and (4, 6).

Given,

The points;

(x₁, y₁) = (-4, -2)

(x₂, y₂) = (4, 6)

We have to find the exact distance from the points;

Here,

Distance between two points (x₁, y₁) and (x₂, y₂);

D = [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2} -y_{1})^{2} }[/tex]

Here,

(x₁, y₁) = (-4, -2)

(x₂, y₂) = (4, 6)

Then,

Distance, D = [tex]\sqrt{(4 - -4)^{2} +(6--2)^{2} }[/tex]

Distance, D = [tex]\sqrt{8^{2}+8^{2} }[/tex]

Distance, D = [tex]\sqrt{64+64}[/tex]

Distance, D = √128

That is,

The exact distance between two points  (-4, -2)  and (4, 6) is option D √128 unit

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The a)estimated error in area is 21.352[tex]cm^2[/tex], b)relative error is 0.0235 and c)percentage error is 2.35%.

Given,

radius of disk, r=17cm

maximum error=0.2cm

a)estimation of maximum error in calculated area,

area of disk,

[tex]A=\pi\ r^2[/tex]

differentiating on both sides

[tex]dA=2\pi\ rdr\\[/tex]

here dr = 0.2cm which is error

[tex]dA=2\pi\(17)(0.2)\\\\\\dA=21.352\ cm^2[/tex]

b)To find relative error use formula,

Relative error=[tex]\frac{dA}{A}[/tex]

[tex]=\frac{21.352}{\pi*17^2}\\\\=\frac{21.352}{907.46}\\\\=0.0235[/tex]

c)then percentage error will be

percentage error=0.0235*100=2.35%

Thus, the estimated error in area is 21.352[tex]cm^2[/tex],relative error is 0.0235 and percentage error is 2.35%.

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Answer:-7

Step-by-step explanation:

-3(-7)+6>=24

21+6>=24

27>=24

Answer:

-7

Step-by-step explanation:

-3h + 6 is greater than or equal to 24.

Solve by simplifying the equation to get h standing alone

1. Subtract the 6 on both sides. -3h [tex]\geq[/tex] 18

2. Divide by -3 on both sides.  h [tex]\leq[/tex] -6 (You swap the sign when you divide by a negative.

3. Choose the value less than -6. -7

When triangle ABC is defined by the coordinates a(2,9), b(8,4), and c, the equation for the line is 5y=6x+8 (-3,-2).

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical phrase with two equal sides and an equal sign is called an equation. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations. Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" symbol and terms on both sides must always be present when writing an equation. Equal treatment should be given to each side.

Here,

A=(2,9)

B=(8,4)

C=(-3,-2)

The slope of line AB,

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

=(4-9)/(8-2)

=-5/6

Slope of line perpendicular to AB,

m1=-1/m

=-1/(-5/6)

=6/5

This line pass through (-3,-2).

y=mx+c

-2=6/5*(-3)+c

c=-2+18/5

c=8/5

The equation of line,

y=6/5x+8/5

5y=6x+8

The equation of line is 5y=6x+8 when triangle ABC is defined by the points a(2,9), b(8,4), and c(-3,-2).

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The solution for x in the inequality expression is x < -8

From the question, we have the following inequality expression that can be used in our computation:

-4x+5>37

Subtract 5 from both sides of the inequality

So, we have

-4x + 5 - 5 >37 - 5

Evaluate the like terms

This gives

-4x > 32

Divide both sides by -4

x < -8

Hence, the solution is x < -8

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the ratio of peaches to pounds in that shipment is Category 2peaches/1lb: Shipment: 1 peach/0.5lb

Shipment: 12 peaches/6lb

Category 1peach/1,5lb:

Shipment: 3peaches/4.5lb

Shipment: 18peaches/27lb

Category 1.5peach/1lb:

Shipment: 15peaches/10lb

To find what category correspond to each shipment, you have to obtain the proportion for each category.

Category 2peaches/1lb proportion of 2.

Category 1peach/1,5lb proportion of 2/3:

Category 1,5peaches/1lb proportion of 3/2:

Now, reduce the shipments to its simplest form.

18/27 simplified by 9 = 2/3 proportion.

1/0.5 multiplied by 2 = 2 proportion.

12/6 simplified by 6 = 2 proportion.

3/4.5 simplified by 1.5 = 2/3 proportion.

15/10 simplified by 5 = 3/2 proportion.

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Two different data sets that have a median of 13 are

From the question, we have the following parameter

Median =13

The median of a dataset is the number at the middle position

So, we can make use of the following dataset

9, 10, 13, 18, 20

This is so because the middle number is 13

Another possible dataset is

10, 13, 13, 18

Similarly, this is because the middle number is 13

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If Zucchini costs $1.50 per pound and broccoli costs $2 per pound. With the amount Andre has Andre can get

The cost per unit of an item is represented by the unit price.

To determine the unit price of an item, we divide the price of a specific number of units by the number of units.

With the cost of Zucchini at $1.50 per pound 10 pounds of zucchini is

= $1.50 * 10

= $15

With the cost of broccoli at $2 per pound, 17 pounds of broccoli is

= $2 * 17

= $34

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Answer:

4

Step-by-step explanation:

(8+2-4)+(3-5)

(10-4)+(-2)

6-2

4

Hopes this helps please mark brainliest