Sandra rode her bike 9 1/3 miles on Monday and 6 4/5 miles on Tuesday how many miles did Sandra walk in both days

Answer:

They are independent events

Step-by-step explanation:

For independent events;

Pr(A & B) = Pr(A) × Pr(B)

Given that:

A = day is Monday or Wednesday

Since we have four weeks and each week will have one Monday and Wednesday each,

Pr(A) = (8/28)

B = day falls in the first or third week

Since, first and the third week has a total of 14 days,

Pr(B) = 14/28

Therefore;

Pr(A) × Pr(B) = 8/28 * 14/28

Pr(A) × Pr(B)  = 1/7

Now, A and B = day is either Monday or Wednesday, and it is in the first or third week

There are four such days, Thus Pr(A and B) = 4/28 = 1/7

Since, Pr(A and B) = Pr(A) * Pr(B),

A and B are independent events

Answer:

2x2x2x2x3

Step-by-step explanation:

Answer:

optimal price = $35

Maximum profit = $3400

Step-by-step explanation:

We are given;

The annual fixed cost for the hominy harvesting and other equipment = $200

The variable cost per case = $20

Since demand is given as v, thus total variable cost = 20v

Thus;

Overall total cost = fixed cost + total variable cost = 200 + 20v

We are given relationship between p and v as;

v = 800 - 16p

Making p the subject gives;

p = (800 - v)/16

Now, total revenue is given by;

Total Revenue = vp

Thus;

Total revenue = v[(800 - v)/16] = 50v - v²/16

Now, profit will be;

Profit(P) = Total revenue - total cost

P = (50v - v²/16) - (200 + 20v)

P = 50v - (v²/16) - 200 - 20v

P = 30v - (v²/16) - 200

Maximum profit will be at dP/dv = 0

Thus;

dP/dv = 30 - (v/8)

At dP/dv = 0

30 - (v/8) = 0

v/8 = 30

v = 30 × 8

v = 240

Optimal price will be gotten by putting 240 for v in the price equation which is p = (800 - v)/16.

Thus;

p = (800 - 240)/16

p = 560/16

p = $35

So, optimal price = $35

Maximum profit will be at v = 240.so let's plug in 240 for v into the profit equation.

Thus;

P = 30(240) - (240²/16) - 200

P = 3400

Maximum profit = $3400

Answer:

x=-2

Step-by-step explanation:

Answer: y=8-6x

Step-by-step explanation:

Answer:

sin θ = [tex]\frac{\sqrt{6} }{3}[/tex]

Step-by-step explanation:

Given that,

cos θ = [tex]\frac{\sqrt{3} }{3}[/tex]

From the trigonometric functions,

cos θ = [tex]\frac{adjacent}{hypotenus}[/tex]

⇒ adjacent = [tex]\sqrt{3}[/tex], and the hypotenuse = 3

Let the opposite side be represented by x, applying the Pythagoras theorem we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj/^{2}[/tex] + [tex]/opp/^{2}[/tex]

[tex]/3/^{2}[/tex] = [tex](\sqrt{3} )^{2}[/tex] + [tex]x^{2}[/tex]

9 = 3 + [tex]x^{2}[/tex]

[tex]x^{2}[/tex] = 9 - 3

   = 6

x = [tex]\sqrt{6}[/tex]

Thus, opposite side = [tex]\sqrt{6}[/tex]

So that,

sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

        = [tex]\frac{\sqrt{6} }{3}[/tex]

Therefore,

sin θ = [tex]\frac{\sqrt{6} }{3}[/tex]

Answer:

pls write the question clearly

Step-by-step explanation:

hxhdhdudjfjfjfjfjjfucjdjshshsshsh

The statements that is true: B. The percent error of the prediction was about 55%.

D. Difference between the predicted and actual rainfall was 1.2 inches.

Percentage error can be calculated  using this formula;

Percentage error = Actual value observed - Expected value /Expected value

The Percentage error is;

= 2.2 - 1.0 / 2.2

Percentage error = 1.2 /2.2

Percentage error = 0.545 × 100

Percentage error = 55% (Approximately)

Since Difference between the predicted and actual rainfall;

Difference = Actual rainfall - Predicted rainfall

Difference = 2.2 -1.2

Difference = 1.2 inches.

Hence the correct statement is option B and D.

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Answer:

Um.

Step-by-step explanation:

Could you give an example of what? Or no.?

Answer:

8 cups per hour

Step-by-step explanation:

We already have both values, the total sum of hours and the total amount of cups the faucet dripped. We would divide the hours by the cups of water to get an answer of 12. You can also double check this when doing one of these problems on your own, by multiplying your answer by the divisor. (14) 14 times 8 is 112, so we know our answer is correct.

Hope that helps :D

The rate in cups per hour is 8 cups per hour if a faucet dripped 14 cup of water in 112 hours.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

A faucet dripped 14 cup of water in 112 hours.

The total sum of hours and the total amount of cups the faucet dripped.

The rate in cups per hour = 112/14

The rate in cups per hour = 8

Thus, the rate in cups per hour is 8 cups per hour if a faucet dripped 14 cup of water in 112 hours.

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Answer:

A

Step-by-step explanation:

Y = ax2 +bx + c

Answer:

f(3) = 4

Step-by-step explanation:

The absolute value, |X|, is defined as the magnitude of a number without regard to its sign. For example, absolute value of 1 is 1 and absolute value of -1 is 1.

Thus, based on the function:

f(x)=|x−5|+2

f(3) = |3−5|+2

f(3) = |-2|+2

-Absolute value of -2 = 2-

f(3) = 2+2

Answer:

2 9/12 and 2 11/12

Step-by-step explanation:

if that is what u are asking. simplist form is 2 3/4 and 2 11/12.

Hope that helps and good luck :)

Answer:

7/9

Step-by-step explanation:

7/9 = 0.777777777777777777...

0.7 repeated can be written as a fraction [tex]\frac{7}{9}[/tex].

Fractions are defined as a part or portion in a whole. There are two parts for a fraction, numerator which is the upper part and the denominator, which is the lower part.

Fractions are generally written in the form [tex]\frac{p}{q}[/tex], where p and q are real numbers. Here, the number p is called the numerator and the number q is called the denominator.

Fractions can be simplified as decimals.

We have to find the fraction representing the number 0.7 repeated.

0.7 repeated is actually the number 0.77777.....

The quotient of 5/8 = 0.625

The quotient of 6/7 = 0.857...

The quotient of 7/9 = 0.777.......

The quotient of 7/100 = 0.07

So, the quotient of 7/9 is the required number.

Hence the fraction which on simplification gives 0.7 repeated is 7/9.

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Answer:

65 reaminder  85  

Step-by-step explanation:

u divided it and theres a big remainder so i did the two first reinders i found

Answer:

The expected number of days until prisoner reaches freedom is 12 days

Step-by-step explanation:

From the given information:

Let X be the random variable that denotes the number of days until the prisoner reaches freedom.

We can evaluate E(X) by calculating the doors selected, If Y be the event that the prisoner selects a door, Then;

E(X) = E( E[X|Y] )

E(X) = E [X|Y =1 ] P{Y =1} + E [X|Y =2 ] P{Y =2} + E [X|Y =3 ] P{Y =3}

[tex]E(X) = (2 + E[X])\dfrac{1}{2}+ (4 + E[X])\dfrac{3}{10}+ 1 (\dfrac{2}{10})[/tex]

[tex]E(X) = (2 + E[X])0.5+ (4 + E[X])0.3+ 0.2[/tex]

Solving for E[X]; we get

E[X] = 12

Answer:

9 cm

Step-by-step explanation:

2.5x4=10

Answer:

(2.83 , 1 , 4)

Step-by-step explanation:

[tex]2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\[/tex]

Rewrite these equations in matrix form

[tex]\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\[/tex]

we can write it like this,

[tex]AX=B\\X=A^{-1}B[/tex]

so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.

We get the inverse of matrix A,

[tex]A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right] \\[/tex]

now multiply the matrix with B

[tex]X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\[/tex]

Answer:

rates of change, positive or negative

Step-by-step explanation:

Answer:

B is the answer.

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

-2 and 1/4 is the same as -9/4 bec -9/4 is just in the improper form.

(can i get brainliest now)

Answer:

28.2

Step-by-step explanation:

Answer:

20% is 4.70

New total with tip = 28.20

Step-by-step explanation:

23.50 x .20

4.70

Answer:

Step-by-step explanation:

Divide the numbers

12+153⋅6−412+153⋅x6−412+315​⋅x6−412+56−412+5x6−4 12+5x6−4

Answer:

thanks !!

Step-by-step explanation: have a wonderful day :)

Answer:

Thank you!!

Step-by-step explanation:

Have a great day:)

Answer:

(-1, -2)

Step-by-step explanation:

Answer:

-5.5

Step-by-step explanation:

Answer:

f(x)=(x-8)^2 -6

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

1/4 of class don't play basketball but do play volleyball

so 9/28 of class play both since 4/7 - 1/4 = 9/28

9/28 of class = 27

1/28 of class = 3

class = 3*28

There are 84 girls in the class.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Girls who plays basketball = (3/4)x

Girls who plays volleyball = (4/7)x

Girls who plays both games = 27

Now, Let us consider total girls in the class = x

So we can write it as mathematical equation as;

⇒ (3/4)x +(4/7)x - 27 = x

By taking L.C.M. -

⇒ (21x+16x)/28 - (27) = x

⇒ 37x/28 = x + 27

⇒ 37x = 28x + (27×28)

⇒ 9x = 27×28

⇒ x = (27×28)/9

⇒ x = 3×28

⇒ x = 84

So, There are total 84 girls in the class.

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Answer:

x = 1.25

y = 1.75

Step-by-step explanation:

Since, the line that is 8 units long is parallel to the line that is ten units long.

Therefore, both the triangles are similar by AA postulate.

Corresponding sides of of the similar triangles are in proportion.

Therefore,

[tex] \frac{5}{x + 5} = \frac{7}{y + 7} = \frac{8}{10} \\ \\ \implies \frac{5}{x + 5} = \frac{8}{10} \\ \\ 5 \times 10 = 8(x + 5) \\ \\ 50 = 8x + 40 \\ \\ 50 - 40 = 8x \\ \\ 10 = 8x \\ \\ \frac{10}{8} = x \\ \\ x = 1.25 \\ \\ \\ \frac{7}{y + 7} = \frac{8}{10} \\ \\ 7 \times 10 = 8(y + 7) \\ \\ 70 = 8y + 56 \\ \\ 70 - 56 = 8y \\ \\ 14 = 8y \\ \\ \frac{14}{8} = y \\ \\ y = 1.75[/tex]

Answer:

what value are you talking about

Step-by-step explanation:

Answer:

It's 1024

Step-by-step explanation: