Question 7 of 9
Diego is making a trail mix for him and his friends to take with them on a hike next week. He mixes 4 2/6 pounds of nuts, 3 3/6 pounds of raisins, and
2 3/6 pounds of chocolate chips. How many 1/3
pound bags of trail mix can he make? original answer Please and now

Answer:

857.96

Step-by-step explanation:

964/100=9.64

9.64x11=106.04

964-106.04=857.96

The average credit card debt for a public school teacher is μ = 14,975 pesos and the standard deviation is σ = 5,650 pesos.

Find the probability that the teacher owes at least 6,740 pesos.

Let X be the random variable representing the credit card debt that a public school teacher has.

Then, X ~ N(14975, 5650) which means that X is normally distributed with a mean 14,975 and a  standard deviation of  5650.

Find the probability that the teacher owes at least 6,740 pesos.

This can be represented as P(X ≥ 6740).

Use the z-score formula which is given by z = (X - μ) / σ,

where X is the credit card debt, μ is the mean, σ is the standard deviation and z is the z-score corresponding to X.

So, substituting the given values,

z = (6740 - 14975) / 5650= -0.8912 (approx)

Using the z-table, the probability corresponding to this z-score is P(Z ≤ -0.8912) = 0.1866 (approx).

Therefore,P(X ≥ 6740) = 1 - P(X < 6740)= 1 - P(Z ≤ -0.8912) = 1 - 0.1866= 0.8134 (approx).

Hence, the probability that the teacher owes at least 6,740 pesos is approximately 0.8134.

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Answer:

k=2

Step-by-step explanation:

2x+y=1 (1)

(1)×2: 4x+2y= 2

The y-intercept of both lines must be the same as if the y-intercept is different, it will have no solutions instead of infinite solutions. In order to achieve infinite solutions, both lines must be on the same points and have same gradient and same y-intercept.

Hence, k= 2

Answer: k=2

Step-by-step explanation:

If the two equations 2x+y=1, 4x+2y=k have infinite number of solutions, it means that the two equations are dependent and represent the same line. To check this, we can find the ratio of the coefficients of x and y in the two equations:2/4 = 1/2

1/2 = k/1

From the first ratio, we can see that the coefficient of x in the second equation is twice that of the first equation.

Similarly, the coefficient of y in the second equation is twice that of the first equation. Therefore, the second equation is just a multiple of the first equation.Solving the first equation for y, we get y = 1-2x. Substituting this into the second equation, we get:4x + 2(1-2x) = k

4x + 2 - 4x = k

2 = k

Therefore, the value of k is 2.

Answer:

Step-by-step explanation:

Answer:

D. 132.3 miles

Step-by-step explanation:

Create a proportion where x is the actual distance between the two cities.

\(\frac{1.1}{15}\) = \(\frac{9.7}{x}\)

Cross multiply and solve for x:

1.1x = 145.5

x = 132.3

So, the two cities are 132.3 miles apart.

The correct answer is D. 132.3 miles

The correct true statement is the swimmer comes back up 9 seconds after the timer was started.

The maximum height of a function is the  point where the velocity the body is zero.

Given the function that represent the height of the swimmer as  h(t)=t^2−12t+27

If the velocity of the function is zero, hence;

h'(t) = 2t - 12

0 = 2t - 12

2t = 12

t = 6secs

Substitute t = 6 into the function as shown:

h(6) = 6^2−12(6)+27

h(6) = 36 - 72 + 27

h(6) = -36 + 27

h(6) = -9 feet

Hence the correct true statement is the swimmer comes back up 9 seconds after the timer was started.

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Answer:

A. $107.20

Step-by-step explanation:

dont know sorry

Answer:78

Step-by-step explanation:

Intellectually gifted people score in the top 1 - 2percent on a standard IQ test.

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

IQ of intellectual gifted people

The general rule is that

People with intellectuals are usually ranked high and the range is usually small

Next, we test the options

A. 10

The top 10% has a high range

B. 5-10

The top 10% omits people in top 5%

C. 5

The top 5% has a high range

D. 1-2

This has a small range and it is the highest

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If x is the largest of the three consecutive integers, then the three consecutive integers can be represented as x-1, x, and x+1.

The sum of these three consecutive integers is:

(x-1) + x + (x+1)

Simplifying the expression, we get:

3x

Therefore, the expression in terms of the given variables that represents the sum of three consecutive integers when x is the largest is 3x.

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The formula which shows how to calculate the number of tires, t, needed if they produce c cars per day is t = 5c. option D

Total tires needed by each car = 4 + 1

= 5

Total number of tires, t needed for c cars.

Number of tires needed, t = Total tires needed by each car × Number of cars produced per day

t = 5 × c

t = 5c

For instance,

if 5 cars are produced per day

Number of tires needed, t = Total tires needed by each car × Number of cars produced per day

t = 5c

= 5 × 5

t = 25 tires

Therefore, the formula which shows how to calculate the number of tires, t, needed if they produce c cars per day is t = 5c. option D

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Answer:

If you multiply or divide both sides of an inequality by the same positive number, the inequality remains true.

But if you multiply or divide both sides of an inequality by a negative number, the inequality is no longer true.

Step-by-step explanation:

Answer:

The multiplication property of inequality states that if one side of the inequality is multiplied or divided by a positive number, we can multiply and divide the other side of the inequality by the same number without changing or disturbing the direction sign of the inequality.

Step-by-step explanation:

The expressions are solved below :

sinu = -3/5 3π/2 < u < 2π is [ 4th quadrant ]

Now we know that

By using trigonometric identities,

When there are trigonometric functions present in an expression or equation, trigonometric Identities come in handy. Every value of a variable appearing on both sides of an equation is valid in terms of trigonometric identities. These trigonometric functions of one or more angles, such sine, cosine, and tangent, are involved in these geometric identities.

sin²u + cos²u = 1

cos²u= 1-sin²u

cos²u = 1 -(-3/5)²

cos²u= 1 - 9/25

cosu = +4/5

:. u is in 4th quadrant

Now

1.  sin2u = 2 sinu cosu

= 2 (-3/5)(4/5) = -24/25

2. cos2u = 2cos²u- 1

       = 2(4/5)²- 1

       = 7/25

3. tan2u = sin2u /cos2u

              = -24/7

The exact values of the sine, cosine, and tangent of the angle are found.

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Answer:

x = -9

Step-by-step explanation:

1/3x + 1 = -2

1/3x = -2-1

1/3x= -3

x = -3 * 3

x = -9

Hey there!

1/3x + 1 = -2

SUBTRACT 1 to BOTH SIDES

1/3x + 1 - 1 = -2 - 1

SIMPLIFY IT!

1/3x = -2 - 1

1/3x = -3

MULTIPLY 3 to BOTH SIDES

1/3x * -3 = -3 * 3

SIMPLIFY IT!
x = -3 * 3

x = -9

Therefore, your answer should be:

x = -9

Good luck on your assignment & enjoy day!

~Amphitrite1040:)

The postulate is which illustrated the above expression is the multiplication identity.

As we  are the given expression for the real numbers 5 . 1  =5, Jere the ". " depicts the multiplication symbol,  and the here 1 is called the identity  element. According to the postulate, it is said that the  identity element which is the 1 in the group of rational numbers,  when multiplied  with any real number in a given mathematical system leaves the result of the product unchanged.

Such as  4 . 1=4

              7 . 1 =7

              12 . 1= 12

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Answer:

4

Step-by-step explanation:

36/9=4

Answer:

4

Step-by-step explanation: division

Answer:

2.1

Step-by-step explanation:

Answer:

A' = (-1, -1)

Step-by-step explanation:

Rule for the dilation of any point A(x, y) about the origin by a factor of k is given by the rule,

A(x, y) → A'(kx, ky)

From the graph attached,

Coordinates of point A are (-3, -3) and it is dilated by a scale factor of \(\frac{1}{3}\) about the origin then the coordinates of the image point A' will be,

A(-3, -3) → \(A'(-3\times \frac{1}{3},-3\times \frac{1}{3})\)

             → A'(-1. -1)

Therefore, coordinates of A' = (-1, -1) is the answer.

Options :

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 32 to 45. A line divides the box at 36.

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 46, and the box ranges from 32 to 45. A line divides the box at 36.

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 31 to 39. A line divides the box at 36.

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 46, and the box ranges from 31 to 39. A line divides the box at 36.

Answer:

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 32 to 45. A line divides the box at 36.

Step-by-step explanation:

Given the five number summary which are all displayed on a box and whisker plot :

Maximum = 48

Minimum = 27

Median = 36

Upper Quartile = 45

Lower quartile = 32

Maximum and minimum values are displayed by the whiskers :

Starting point of whisker = minimum value

End point of whisker = maximum value

The quartiles are displayed by the box :

Starting point of the box = lower quartile

End point of the box = upper quartile

Line in between the box = Median

Answer:

k=45

Step-by-step explanation:

its an isosceles triangle, so k=45

to check it, 45+45+90=180

f(x) = 0.3x + 100 is the function equation that represents the cost per day when a car travels "x" miles.

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The value of the car in 2000 is expected to be $3800, given a starting value of $7700 in 1990 and a decrease of $390 per year for 10 years.

To find the value of the car in each subsequent year, we can subtract $390 from the previous year's value. Let's calculate the value of the car for each year from 1990 to 2000.

Year 1990: $7700

Year 1991: $7700 - $390 = $7310

Year 1992: $7310 - $390 = $6920

Year 1993: $6920 - $390 = $6530

Year 1994: $6530 - $390 = $6140

Year 1995: $6140 - $390 = $5750

Year 1996: $5750 - $390 = $5360

Year 1997: $5360 - $390 = $4970

Year 1998: $4970 - $390 = $4580

Year 1999: $4580 - $390 = $4190

Year 2000: $4190 - $390 = $3800

Therefore, the value of the car is expected to be $3800 in the year 2000.

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Answer:

Step-by-step explanation:

The factor that would have to be corrected is: The second arc should be centered at C.

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Answer:

D. y= -1/2x + 3

Step-by-step explanation:

It is a negative slope so we can immediately eliminate option C. Slope is rise over run and on the graph it looks like - 1/2 is your slope. As for the other part, we look at where it aligns on the y axis, which looks like 3. hope this helps!

The volume of cylinders \(x^2 + y^2 = 4r^2\) and \(y^2 + z^2 = 4r^2\) is 88\(r^3\)/3.

The volume of cylinders can be calculated using integrals from the top curve subtract the bottom curve. For expression above we can convert to find the dimensions of cylinders using Fubini's Theorem. So,

x^2 + y^2 = 4r^2 to x^2 = 4r^2 - y^2

y^2 + z^2 = 4r^2 to z^2 = 4r^2 - y^2

Thus, the volume of the given solid is,

v = \(\int r-r\int\sqrt{4r^2-y^2}-\sqrt{4r^2-y^2}\times 2\sqrt{4r^2-y^2} dx dy\)

= \(2\int r-r(x\sqrt{4r^2-y^2})(\sqrt{4r^2-y^2})-\sqrt{4r^2-y^2}dy\)

= \(2\int r - r[(4r^2-y^2)+(4r^2-y^2)]dy\)

= \(2\int r - r[2(4r^2-y^2)]dy\)

= \(4\int r - r(4r^2-y^2)dy\)

= \(4(4r^2y-y^3/3)r-r\)

= \(4(4r^2(r+r)-(r^3+r^3)/3)\)

= \(4((4r^2)(2r)-2r^3/3)\)

= \(8(4r^3-r^3/3)\)

= \((8)(12r^3-r^3)/3\)

= 88\(r^3\)/3

Thus, the volume of cylinders is (88r^3)/3.

You question is incomplete, but most probably your full question was

find the volume of the given solid. bounded by the cylinders \(x^2 + y^2 = 4r^2\), \(y^2 + z^2 = 4r^2\)

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Answer:

First choice :

\( \frac{ {x}^{14} }{ {y}^{18} } \)

Hope this helps...

a) No, p1 = 20, p2 = 19.50 is not a Nash Equilibrium.

b) Yes, there is a Nash Equilibrium in which Firm 2 makes a positive profit.

c) Player 1 has infinitely many strategies.

d) Yes, p1 = 15, p2 = 15 is a Nash Equilibrium.

e) No, p1 = 21, p2 = 21 is not a Nash Equilibrium.

Nash Equilibrium is a state of a strategic game where no player has an incentive to deviate from his or her chosen strategy after considering the strategies of other players. A game has more than one Nash equilibrium if players are unable to agree on a cooperative strategy to play.

Finding Nash Equilibrium

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