What is the value of y in the diagram?
х
56°
у
29°

Answer:

(a) Attached to this response.

(b)

(i) 0 cups = 0.275

(ii) 4 cups = 0.125

(iii) 8 cups = 0.025

Step-by-step explanation:

(a) The frequency and relative frequency table has been attached to this response.

i. The first column, labelled x, is the number of cups of coffee consumed per day.

ii. The second column, labelled f, is the number of people that consumed x cups of coffee per day. It is found by counting the number of occurrences (i.e frequency) of the numbers of the first column, x, in the given data.

For example, 0 in first column appears 11 times in the given data. Also, 5 in the first column appears 4 times in the given data.

iii. The third column, labelled r, is the relative relative frequency of the number of cups of coffee. It is calculated by dividing the frequency of the cups of coffee by the total number of people that consumed it. As shown on the table, it is calculated by dividing the each of the values on the second column by the sum of the values on that same column (second column).

For example, the relative frequency of 2 cups of coffee is given by:

r = 7  ÷ 40 = 0.175

Also, the relative frequency of 4 cups of coffee is given by;

r = 5 ÷ 40 = 0.125

(b) The probability (Pₓ) that a randomly selected person consumed x cups of coffee is given by;

Pₓ = frequency of x ÷ total frequency

This is also the relative frequency of x

Therefore,

(i) The probability (P₀) that a randomly selected person consumed 0 cups of coffee is given by;

the relative frequency of 0 = 0.275

(ii) The probability (P₄) that a randomly selected person consumed 4 cups of coffee is given by;

the relative frequency of 4 = 0.125

(iii) The probability (P₈) that a randomly selected person consumed 8 cups of coffee is given by;

the relative frequency of 8 = 0.025

Answer:

$ 656.1

Step-by-step explanation:

a = 1000(1 - .1)^4

a = 1000(.9)^4

a = 656.1

Answer:

Distance of first boat = 8 meter

Distance of second boat = 13.87 meter (Approx.)

Step-by-step explanation:

Given:

Height of cliff = 8 meter

Angle of depression respectively = 45° and 30°

Find:

Distance of boats

Computation:

Tanθ = Perpendicular / Base

Tan45 = 8 / Distance of first boat

1 = 8 / Distance of first boat

Distance of first boat = 8 meter

Tan30 = 8 / Distance of second boat

0.577 = 8 / Distance of second boat

Distance of second boat = 8 / 0.577

Distance of second boat = 13.8648

Distance of second boat = 13.87 meter (Approx.)

Answer:

The dragonfly is 20.5 feet per second faster

Step-by-step explanation:

Answer:

Step-by-step explanation:

Speed of butterfly:

Speed of dragonfly:

The difference:

Correct choice is A

Answer:

4+x=-3+2x

4+3=2x-x

7=x

9x=9*7

=63

Step-by-step explanation:

Answer:

[tex]4 + x = - 3 + 2x \\ x - 2x = - 3 - 4 \\ - x = - 7 \\ x = 7 \\ therefore = \\ 9x = 9 \times 7 \\ 9x = 63 \\ i \: hope \: this \: was \: helpful [/tex]

Answer:

710 ft

Step-by-step explanation:

8750 - 5200 = 3550

3550 / 5 = 710

Answer:

5.4372 x 10 to the 5th power

Step-by-step explanation:

Answer:

[tex]5.4372*10^{13}[/tex]

Step-by-step explanation:

Answer:

I am guessing C

Step-by-step explanation:

Answer:

x1=2 x2=-5

Step-by-step explanation:

Answer:

El lado del cuadrado inicial es 17 m.

Step-by-step explanation:

El área de un rectángulo se calcula a partir de los dos lados diferentes. Siendo a y b el valor de ambos lados, el área de la figura es el producto de los dos lados contiguos del rectángulo.

A los lados de un cuadrado se le aumenta en 3 y 5 m respectivamente la superficie del nuevo rectángulo es 440 m². Siendo x el lado del cuadrado inicial, entonces el área del rectángulo se puede expresar como:

(x+3)*(x+5)= 440 m²

Resolviendo:

x*x + 5*x + 3*X + 3*5= 440

x² + 8*x + 15=440

x² + 8*x + 15 -440= 0

x² + 8*x -425= 0

Una función cuadrática de la forma a*x² + b*x + c= 0 se puede resolver mediante la expresión:

[tex]\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]

En este caso, a=1, b=8 y c=425. Reemplazando:

[tex]\frac{-8+-\sqrt{8^{2}-4*1*(-425) } }{2*1}[/tex]

Resolviendo:

[tex]\frac{-8+\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8+\sqrt{64+1700} }{2*1}= \frac{-8+\sqrt{1764 } }{2}= \frac{-8+42 }{2}= \frac{34}{2} = 17[/tex]

y

[tex]\frac{-8-\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8-\sqrt{64+1700} }{2*1}= \frac{-8-\sqrt{1764 } }{2}= \frac{-8-42 }{2}= \frac{-50}{2} = -25[/tex]

Como las longitudes no pueden ser negativas, el lado del cuadrado inicial es 17 m.

Answer:

y = -2x + 1

Step-by-step explanation:

Parallel lines are two lines that have the same plane and slope but never intersect.

Answer:

You were so worried about somebody guessing

you forgot to ask a question!

Step-by-step explanation:

Answer:

zero

Step-by-step explanation:

y = - 3 is a horizontal line parallel to the x- axis.

Since it is parallel to the x- axis it has a slope of zero

Answer:

zero

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.4*10^4*10^3*4.5

=10.8*10^4+3

=10.8*10^8

=10.8*100000000

=1080000000

Answer:

Step-by-step explanation:

Angle E corresponds to angle L because the two triangles are similar (and we know this becuase corresponding sides are proportional.

Answer:

Step-by-step explanation:

surface are of cuboid=2(lb+bh+hl)

=2(14*12+12*6+6*14)

=2(168+72+84)

=2*324

=648 in.^2

Answer:

648 inches

Step-by-step explanation:

First, you do 14 times 12 times 2 and get 336.

Next, you do 14 times 6 times 2 and get 168.

Then you do 6 times 12 times 2 and get 144.

Now add 336, 168, and 144 together to get 648.

Answer:

Step-by-step explanation:

Given,

Time taken (t) = 10 - 6 = 4hrs

Water decreased (V) = 24000l - 18000l = 6000l

Now,

average rate of decrase (Avg) = V/t = 6000l/4 =1500 L/h

1 $ = 100 cents

1.5 $ = 150 cents

1.50 $ a percentage of 200 cents = (150/200)100= 75%

Answer:

0.04

Step-by-step explanation:

Answer:

7 + 7 = 14(given lengths)

34(total length) - 14(given length) = 20

20 divided by 2(2 missing slots) = 10

Answer:

10 in

Step-by-step explanation:

formula for perimeter:2 (l + b)

perimeter=34 in

2 ( l + 7 ) = 34

2l + 14 = 34

2l = 34 - 14

l = 20 ÷ 2

l = 10 in

We are given:

Depth of water column = 8 cm

g = 10 N/kg and ρ (density) = 1000 kg / m³

Finding the pressure at the bottom:

We know that the formula for pressure at the bottom of a fluid is:

P = P₀ + hρg           [where P₀ is the atmospheric pressure]

P = P₀ + (0.08 m) (1000 kg / m³) (10 m / s²)

P = P₀ + 800 N/m²

we know that the atmospheric pressure, in N/m² is approximately 10⁵

P = (10⁵ + 800) N/m²             [N/m² is also commonly called 'Pascals']

which means that at the bottom of the water column, the pressure is 800 Pascals more than what it normally is

Answer:

6 ¼ hours of Daylight

Step-by-step explanation:

Hi there!

[tex]\large\boxed{g(f(t))(-4) = 193}[/tex]

Find g(f(t))(-4) by substituting in f(t) for t into g(t):

g(f(t))(t) = (-3t³ - 1) + 2

Simplify:

g(f(t))(t) = -3t³ + 1

Substitute in -4 for t:

g(f(t))(-4) = -3(-4)³ + 1 = 193

Answer:

Zeros would be x= 0, -2

Step-by-step explanation:

hope this helps :)

Answer:

=6 times 8q+6

=6(8q+1)

Step-by-step explanation:

Answer: car 1, and car 4

Step-by-step explanation: if you look at the graphs you would have to look at where 1 hour would hit 60. If it’s past 60, the car is moving faster than sharon. Hope this helps!

Answer:

[tex]\frac{7^2 * 7^{3} * z^5}{z^3 * 10}\\\\= \frac{7^5 * z^2}{10}\\\\= \frac{16805z^2}{10}[/tex]

I'm not sure if it's correct

Answer and Step-by-step explanation:

The answer is:

[tex]x^3 - 3[/tex]

When we multiply this length by the height ([tex]8x^{2}[/tex]), we get the area.

When a power/exponent (attached to a base/number) is having its' base being multiplied to another base with an exponent (and the bases are the same), the exponents will add together.

#teamtrees #PAW (Plant And Water)