In a simple random sample of size 98, there were 37 individuals in the category of interest. Compute the sample proportion p. O 0.378 0.622 O 0.607 135

Answer:

3x+10y=C

x=cost of potting soil

y=cost of mulch

C=total cost

An equation which represent the total cost will be,

⇒ 3P + 10M = C

Where, P is cost of potting soil bags.

M is cost of Mulch bags.

C is total cost.

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

Josh bought 3 bags of potting soil and 10 bags of mulch from Home Depot.

Now,

Let cost of potting soil bags = P

Cost of Mulch bags = M

Total cost = C

Then, An equation to represent total cost is;

3P + 10M = C

Thus, An equation which represent the total cost will be,

⇒ 3P + 10M = C

Where, P is cost of potting soil bags.

M is cost of Mulch bags.

C is total cost.

Learn more about the mathematical expression visit:

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Answer:

2/5+1/3=6/15+5/15=11/15

30.000+24.000+15.000 =69.000

Answer:

the price of a hamburger and the price of a slice of pizza is $0.5 and $7.75 respectively

Step-by-step explanation:

Let us assume the price of a hamburger be x

And, the price of a slice of pizza be y

So the equations are

7x + 3y = 20-1

7x + 3y = 19........(1)

And,

8x + 2y = $19.50........(2)

Now multiply by 2 in equation 1 and 3 in equation 2

So,

14x + 6y = 38

16x + 6y = 39

-2x = -1

x = 0.5

so y =

4 + 2y = $19.50

2y = $19.50 - 4

y = 7.75

Hence, the price of a hamburger and the price of a slice of pizza is $0.5 and $7.75 respectively

Answer:

Step-by-step explanation:

perp. 1/4

y + 4 = -1/4(x - 4)

y + 4 = -1/4x + 1

y = -1/4x - 3

Answer:

angle G = 64.9 is because the sum of interior angle is 180

Answer:

26. H. (-4, -2)

27. A. x - 4

Step-by-step explanation:

26.

Use translations.

Start at point A(2, 6). To go from this point to the center of the circle, you must go from A(2, 6) to C(-1, 2). That means you need to go from 2 to -1 in x, a change of -3 in x, and from 6 to 2 in y, a change of -4 in y.

Since points A and B are the endpoints of a diameter, then AC and BC are radii of the circle. All radii are congruent, so if you apply the same transformation as from A to C to point C, you will get the coordinates of point B.

C(-1, 2) now is transformed by -3 in x and -4 in y.

B(-1 - 3, 2 - 4) ----> B(-4 , -2)

Answer: H. (-4, -2)

27.

Recall the factoring of a difference of cubes.

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

You have

x^3 - 64

x^3 is obviously the cube of x.

64 is the cube of 4, so you have

x^3 - 4^3

Following the factorization above, you get

(x - 4)(x^2 + 4x + 16)

Answer: A. x - 4

Answer:

a) [tex]h = +200[/tex], b) [tex]t = -500[/tex], c) [tex]c = -600[/tex], d) [tex]t = +7[/tex], e) [tex]T = +2[/tex], f) [tex]h = +4[/tex].

Step-by-step explanation:

a) Sea [tex]h[/tex] la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es [tex]h = +200[/tex].

b) Sea [tex]t[/tex] el año con respecto al momento cuando nace el Cristo. Asúmase como positivo el año posterior al año del nacimiento del Cristo. Entonces, la forma matemática equivalente es [tex]t = -500[/tex].

c) Sea [tex]c[/tex] el balance de cuenta. Asúmase como positiva la acreencia de dinero. La acreencia es lo opuesto de la deuda. Entonces, la forma matemática equivalente es [tex]c = -600[/tex].

d) Sea [tex]t[/tex] el tiempo con respecto al instante de referencia y esperado de un evento. Asúmase como positivo el retraso. El retraso es lo opuesto del adelanto. Entonces, la forma matemática equivalente es [tex]t = +7[/tex].

e) Sea [tex]T[/tex] la temperatura con respecto al punto de referencia o de "temperatura cero". Asúmase como positiva toda temperatura mayor que ese punto de referencia. Entonces, la forma matemática equivalente es [tex]T = +2[/tex].

f) Sea [tex]h[/tex] la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es [tex]h = +4[/tex].

The slope is 1.

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Given that, exterior angles on the same side of a traversal are supplementary a Hence, sums up to 180°

Given the angles:

7x° + 11x° + 90° = 180°

18x° + 90° = 180°

18x° = 180° - 90°

18x° = 90°

x = 90° ÷ 18

x = 5

Answer:

The Person ^ is Correct the Answer is X=5

Step-by-step explanation

You Have a Brain, Use It

Answer:

√9= either +3 or -3 when u have factorised

Answer:

\sqrt{9} = ±3

as, the value of the square root of 9 can be expressed as +3 and -3 or we can say the roots of 9 are +3 and -3. Number 9 is the perfect square as it fulfils the criteria .

ENGOY YOUR DAY

#Captainpower

Answer:

Step-by-step explanation:

you have to multiply the bracets by the factor

then add +1 to both sides

Equation :

[tex]y=\frac{-3}{4}x-2[/tex]

yes, it's the same as b

Answer:

6 parts yellow

Step-by-step explanation:

Answer:

apsppspspppp9ğpğğ999

Answer:

26 ft. =  the length of the flagpole's shadow to the nearest foot

Step-by-step explanation:

Let f = the length of the flagpole's shadow

girl's height/flagpole's height = girl's shadow length/flagpole's shadow length

4/35 = 3/f

4f = 105

f = 26.25 ft. ≅ 26 ft =  the length of the flagpole's shadow to the nearest foot.

Answer:

6 and 1

Step-by-step explanation:

Let  x - 6 = 0   and x - 1 = 0

x = 6    and x = 1

Answer:

Step-by-step explanation:

Perpendicular lines have negative-reciprocal slopes.

The line contains point P(4, 8)

Point slope form:

Given line:

The slope of the perpendicular line is m = -1/4.

The line in point-slope form is:

Answer:

y - 8 = -1/4(x - 4)

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 4x - 7. Its slope is 4. A line perpendicular to this one will have a slope of -1/4, the reciprocal (opposite) of the given equation.

Plug this value (-1/4) into your standard point-slope equation of y - y₁ = m(x - x₁)

y - y₁ = -1/4(x - x₁)

To find x₁ and y₁, we want to plug in a value that we know is on this line: in this case, it is P (4, 8). Plug in the x and y values into the x₁ and y₁ of the standard equation.

y - 8 = -1/4(x - 4)

This equation is perpendicular to your given equation (y = 4x - 7) and contains point P (4, 8)

Hope this helps!

Answer:

The distance between them is 277.84 m

Step-by-step explanation:

See comment for complete question.

Given

Boat A:

[tex]Speed = 24mph[/tex]

[tex]\angle A = 340^{\circ}[/tex]

Boat B:

[tex]Speed = 35mph[/tex]

[tex]\angle B = 200^{\circ}[/tex]

[tex]Time = 5hr[/tex]

First, we calculate the distance traveled by both boats in 5 hours

[tex]Distance= Speed * Time[/tex]

[tex]Boat\ A = 24mph * 5hr = 120m[/tex]

[tex]Boat\ B = 35mph * 5hr = 175m[/tex]

For more clarity, I'll make use of the attached image to represent the system.

From the attachment, we are to calculate distance C, but first we calculate the angle between them.

[tex]\theta = 340^{\circ} - 200^{\circ}[/tex]

[tex]\theta = 140^{\circ}[/tex]

C is then calculated using cosine law:

[tex]C^2 = A^2 + B^2 - 2BC\ Cos\theta[/tex]

This gives:

[tex]C^2 = 120^2 + 175^2 - 2*120*175\ Cos(140^{\circ})[/tex]

[tex]C^2 = 120^2 + 175^2 - 2*120*175*-0.7660[/tex]

[tex]C^2 = 14400 + 30625 + 32172[/tex]

[tex]C^2 = 77197[/tex]

Take square root of both sides:

[tex]C = \sqrt{77197[/tex]

[tex]C = 277.84[/tex]

The distance between them is 277.84 m

Answer:

2x/y ??

Step-by-step explanation:

Answer: If the sign missing is supposed to be a plus sign, then the answer is 12x+24y

Step-by-step explanation:

Answer:

6 ft

Step-by-step explanation:

volume of cone πr^2 (h/3)

84π = πr^2 (7/3)

84π/(7/3) = r^2π

84/(7/3) = r^2

sqrt (84 /(7/3)) = r

6 = r

Answer:

6 seconds

Step-by-step explanation:

Just took the test :)

Answer:

vienna can purchase 6 more yards

Complete question :

Write a system of equations, with one equation describing the cost to bowl at Bowl-o-Rama and the other describing the cost to bowl at Bowling Pinz. For each equation, let x represent the number of games played and let y represent the total cost.

Bowl-O-Rama rents shoes for $2 and each game cost $2.50

Bowling Pinz rents shoes for $4 and each game cost $2

Answer:

Bowl-O-Rama:

y = $2 + $2.50x

Bowling pinz:

y = $4 + $2x

Step-by-step explanation:

The total cost is the sum of shoe rental plus the product of the unit game rate and the number of games played.

Total cost, y

x = number of games played

Bowl-O-Rama:

y = Shoe rent + (unit rate per game * number of games)

y = $2 + ($2.50 * x)

y = $2 + $2.50x

Bowling Pinz :

y = Shoe rent + (unit rate per game * number of games)

y = $4 + ($2 * x)

y = $4 + $2x

Answer:

(a) The relation is a function

(b)

[tex]Domain = \{-3,2,5,8\}[/tex]

[tex]Range = \{7,5,-3,-2\}[/tex]

Step-by-step explanation:

Given

[tex]\{(-3, 7), (2, 5), (5, -3), (8, -2)\}[/tex]

(a): Is it a function?

A relation has the form: [tex]\{(x_1,y_1),(x_2,y_2)....(x_n,y_n)\}[/tex]

For the relation to be a function, all the x values must be unique and not repeated.

In [tex]\{(-3, 7), (2, 5), (5, -3), (8, -2)\}[/tex], the x values are: -3, 2, 5 and 8.

None of the values are repeated.

Hence, the relation is a function

(b): The domain and the range:

The x values represent the domain while the range are represented by the y values.

So, we have:

[tex]Domain = \{-3,2,5,8\}[/tex]

[tex]Range = \{7,5,-3,-2\}[/tex]

Answer:

y=-3x+4

put x =0

y=-3(0)+4

y=4

putx=1

y=-3(1)+4

y=-3+4

y=1

Answer:

Step-by-step explanation:

-0.5

Step-by-step explanation:

If x is 1, plug it into the equation.

So, y=-3(1) + 2.5

-3(1) = -3

now add.

-3+2.5 = -0.5

so that should give you y = -0.5

Answer:

2.75

Step-by-step explanation:

8.6 is what precent of 32? =2.752

round to nearest hundredth= 2.75

I hope this helps :)

Answer:

2.75

Step-by-step explanation:

BIG BRAIN

Answer:

the answer is 71

Step-by-step explanation:

423/6

42÷6=7

42-42=0

6÷3=×

30÷6=5

70.5--> 71