Here are the prices for cans of juice that are the same brand and the same size at different stores. Which store offers the best deal? Store X: 4 cans for $2.48 Store Y: 5 cans for $3.00 *

The number of smaller pieces of land that can be sold at the stated size is 2^6

The given parameters are:

Total area = 2^15 square miles

Smaller piece = 8^3 square miles

The number of smaller pieces of land that can be sold at the stated size is

Number = Total area/Smaller piece

So, we have:

Number = 2^15/8^3

Rewrite as

Number = 2^15/2^9

Apply the law of indices

Number = 2^6

Hence, the number of smaller pieces of land that can be sold at the stated size is 2^6

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Answer:

He worked for 5.75 hours

Step-by-step explanation:

Answer:

a) The value of A = 2

b) The value of [tex]B = \dfrac{1}{12}[/tex]

Step-by-step explanation:

a)

Given that:

X should be the random variable that assumes only positive integer values.

The probability function; [tex]P[X = n] = \dfrac{A}{3^n}[/tex] for some constant A and n ≥ 1.

Then, let [tex]\sum \limits ^{\infty}_{n =1} P[X =n] = 1[/tex]

This implies that:

[tex]A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1[/tex]

[tex]A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1[/tex]

[tex]A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1[/tex]

[tex]A \times \dfrac{1}{2}=1[/tex]

A = 2

Thus, the value of A = 2

b)

Suppose X represents a e constant A (n> 1). Find A.

b) Let X be a continuous random variable that can assume values between 0 and 3

Then, the density function of x is:

[tex]f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.[/tex]

where; B is constant.

Then, using the property of the probability density function:

[tex]\int ^3_0 \ B (x^2+1 ) \ dx = 1\\[/tex]

Taking the integral, we have:

[tex]B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1[/tex]

[tex]B \Big [\dfrac{3^3}{3} +3 \Big ]= 1[/tex]

[tex]B \Big [\dfrac{27}{3} +3 \Big ] = 1[/tex]

B [ 9 +3 ] = 1

B [ 12 ] = 1

Divide both sides by 12

[tex]B = \dfrac{1}{12}[/tex]

Considering the definition of scale, the length of the Mississippi River on the map is 96.667 cm.

The scale of a cartographic representation, or map scale, is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map.

Scale is the relationship between a real object (for example, the surface of the Earth or a portion of it) and the representation that is made of it.

The scale is represented as a fraction as follows: measured on the map/measured in reality

In this case, you know that:

Considering the definition of scale, you can calculate the length of the Mississippi River on the map as follow:

5 cm/ 120 miles= measured on the map/2320 miles

(5 cm/ 120 miles)× 2320 miles= measured on the map

96.667 cm= measured on the map

Finally, the length of the Mississippi River on the map is 96.667 cm.

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Answer:

1. H=6

2. Y= -1

3. T= 2

4. D= 2.1

5. K= 0

6. -13 1/3

Step-by-step explanation:

Answer:

Answer:

The zeros of the function:

[tex]x=5.53 ,[/tex]  [tex]x=3.22[/tex]  

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=2x^2-17.5x+35.6[/tex]

To find zeros, put f(x)=0

[tex]0=2x^2-17.5x+35.6[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]

[tex]0\cdot \:10=2x^2\cdot \:10-17.5x\cdot \:10+35.6\cdot \:10[/tex]

[tex]0=20x^2-175x+356[/tex]

switch sides

[tex]20x^2-175x+356=0[/tex]

subtract 356 from both sides

[tex]20x^2-175x+356-356=0-356[/tex]

[tex]20x^2-175x=-356[/tex]

divide both sides by 20

[tex]\frac{20x^2-175x}{20}=\frac{-356}{20}[/tex]

[tex]x^2-\frac{35x}{4}=-\frac{89}{5}[/tex]

[tex]\mathrm{Add\:}a^2=\left(-\frac{35}{8}\right)^2\mathrm{\:to\:both\:sides}[/tex]

[tex]x^2-\frac{35x}{4}+\left(-\frac{35}{8}\right)^2=-\frac{89}{5}+\left(-\frac{35}{8}\right)^2[/tex]

applying perfect square

[tex]\left(x-\frac{35}{8}\right)^2=\frac{429}{320}[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solving

[tex]x-\frac{35}{8}=\sqrt{\frac{429}{320}}[/tex]

[tex]x=\frac{\sqrt{2145}}{40}+\frac{35}{8}[/tex]

[tex]x=5.53[/tex]

also solving

[tex]x-\frac{35}{8}=-\sqrt{\frac{429}{320}}[/tex]

[tex]x=-\frac{\sqrt{2145}}{40}+\frac{35}{8}[/tex]

[tex]x=3.22[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=5.53 ,[/tex]  [tex]x=3.22[/tex]  

Therefore, the zeros of the function:

[tex]x=5.53 ,[/tex]  [tex]x=3.22[/tex]  

Answer:

7

Step-by-step explanation:

Bluegreen

Bluered

Blueyellow

Greenblue

Greenred

Greenyellow

Redblue

Redgreen

Redyellow

Yellowblue

Yellowgreen

Yellowred

Answer: 7

Step-by-step explanation:

Took on computer

Answer:

9/2

Step-by-step explanation:

f(x)=5-1/2

plug in 4

f=9/2

9/2

Answer:

i thnk it is c correct me if i am rong

Step-by-step explanation:

Answer:

(C) I got it right

Step-by-step explanation:

on edge

Answer:

a₂ = -3

a₃  = -1

Step-by-step explanation:

We have to  insert two arithmetic means between -5 and 1

Let a₁ and b₂ be the two arithmetic means between -5 and 1

-5, a₂, a₃, 1

Here,

We know that the nth term of an Arithmetic sequence

aₙ = a₁ + (n-1)d

a₄ = -5 + (4-1)d

1 = -5 + 3d    

1  + 5 = 3d

3d = 6

Dividing both sides by 2

d = 2

Also

a₂ = a₁ + (2-1)d

a₂ = -5 + d

a₂ = -5 + 2          ∵ d = 2

a₂  = -3

a₃ = a₁ + (3-1)d

a₃  = -5 + 2d

a₃  = -5 + 2(2)   ∵ d = 2

a₃  = -5 + 4

a₃  = -1

Thus,

a₂ = -3

a₃  = -1

Thus, the sequence becomes:

-5, -3, -3, 1

The slopes of the given lines -7x + 3y = 2 and -3x + 7y = 1 are not perpendicular to each other .

We have given two equation of lines -7x + 3y = 2    ....(1)  and -3x + 7y = 1 ....(2)        3y = 7x +2

                 y = 7x/3 +2

On comparing with slope intercept form y = mx + c , we get slope of equation (1)         m₁ =  7/3

      7y = 3x +1

        y = 3x /7 +1

On comparing with slope intercept form y = mx + c , we get slope of equation (2)        m₂ = 3/7

If the lines are perpendicular to each other , then their product of slope will be equal to -1 which is given by

                    m₁ × m₂ = -1

                    7/3 × 3/7 = -1

                      1 ≠ -1

Hence the given lines are not perpendicular to each other.

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Answer:

you get 0.4 litres for every dollar

Answer: segments and rays

Step-by-step explanation:

Answer:

proportional relational ship  

y= kx

7 = k2

solve for k

7/2 =k

y = 7/2 x

if y = 21

21 =7/2 x

solve for x

multiply by 2/7 on each side

21* 2/7 = 2/7*7/2 x

6 =x

Answer:

1 4/5

Step-by-step explanation:

Answer:

They are equal

Step-by-step explanation:

Answer: 610 MPH

Step-by-step explanation:

915 divided by 1.5=610 MPH

610 divided by 2=305 MP Half n Hour

610+305=915

Answer:

.007 is in the thousandths place.

Step-by-step explanation:

In decimals it goes tenths, houndredths, thousandths, and so on.

Answer:

I dont get itt

Step-by-step explanation:

Answer:

divid 1500 to 50

Step-by-step explanation:

Answer: 1500 0/0

Step-by-step explanation:

The Probability distribution table is;

x P(x)

0 0.4167

1 0.5

2 0.0833

3 0

The speedometers are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x, N, n, k) = C_k,x * C_n - k, n - x)/(C_N,n)

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this question:

7 + 2 = 9 speedometers, which means that N = 9

2 are not correctly calibrated, which means that k = 2

3 are chosen, which means that n =3

Complete the probability distribution table.

Probability of each outcome.

P(X = 0) = h(0, 9, 3, 2) = 0.4167

P(X = 1) = h(1, 9, 3, 2) = 0.5

P(X = 2) = h(0, 9, 3, 2) = 0.0833

P(X = 3) = h(0, 9, 3, 2) = 0

Probability distribution table:

x P(x)

0 0.4167

1 0.5

2 0.0833

3 0

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I do not know how to do this but i can tell you ^ means exponent not division. So 3^2 would be the same as [tex]3^{2}[/tex]

Answer:

2/35

Step-by-step explanation:

fifteen total, 4 live in Gaston

so

4/15 times 3/14

because there is only 14 left to be selected and 3 left in Gaston

so 0.05714285714

or 2/35

Answer:

2100 meters

Step-by-step explanation:

REMEMBER: 1 km = 1000 m

2.1 km x 1000= 2100 meters

hope this helps ;)