find cot0 given cos0=2/7 and the terminal side is in quadrant IV

Answer:

b

Step-by-step explanation:

i have had this before

Answer:

68%

Step-by-step explanation:

The Empirical rule formula is given as:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Where

μ is the population mean

σ is the population standard deviation.

Step 1

Find the number of standard deviations from the mean

μ - xσ and μ + xσ

μ = 175

σ = 13

For 162

175 - 13x = 162

175 - 162 = 13x

13 = 13x

x = 13/13

x = 1

For 188

175 + 13x = 188

13x = 188 - 175

13x = 13

x = 13/13

x = 1

Hence, the data falls with 1 standard deviation of the mean

Therefore, percentage of the games that Mayerlin bowls does she score between 162 and 188 is 68%

Answer:

The answer is 68%

Step-by-step explanation:

Answer: tbh i think its the third one

Step-by-step explanation:

Answer:

The answer is 3.95

Step-by-step explanation:

0×.5 + 5×.2 + 8×.15 + 10×.1 + 15×.05 = ?

0 + 1 + 1.2 + 1 + .75 = 3.95

Answer: 25 PERCENT

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

There are 4 colors, probability of red or yellow:

P(red or yellow) = 2*1/4 = 1/2

And a cube faces 1 to 3:

P(1 to 3) = 3*1/6 = 1/2

Probability of the two events above:

1/2*1/2 = 1/4 = 25%

Answer:

216x^9y^12

Step-by-step explanation:

Answer:

3÷4 = 0. 75

1 ÷ 2 = 0 . 5

Step-by-step explanation:

3 ÷ 4 = 0 . 75

1 ÷ 2 = 0 . 5

Answer:

a) [tex]F(x)\begin{cases} & 0\text{ if } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ if } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ if } x \geq 1.05 \end{cases}[/tex]

b) 0.03

c) 0.15

d) La media es 0.55

La varianza es 8.[tex]\overline 3[/tex]

Step-by-step explanation:

La variación del espesor del componente de la aeronave = 0.05 a 1.05

El pdf de la variable 'X' se da de la siguiente manera;

[tex]f(x) = \dfrac{1}{1.05 - 0.05} = 1[/tex] por 0.05 < x < 1.05

a)

[tex]F(x)\begin{cases} & 0\text{ si } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ si } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ si } x \geq 1.05 \end{cases}[/tex]

b) Para la proporción de los bordes que con un espesor superior a 1.02 milímetros, obtenemos;

P(X > 1.02) = 1 - F(1.02) = 1 - (1.02 - 0.05) = 0.03

P(X > 1.02) = 0.03

La proporción de bordes que tienen un espesor mayor que 1.02 = 0.03

c) El espesor, 'x', excedido en el 90% de los bordes, se encuentra de la siguiente manera;

P(X > x) = 1 - F(x)

∴ 90/100 = 0.9 = 1 - F(x) = 1 - (x - 0.05)

x - 0.05 = 1 - 0.9 = 0.1

x = 0.1 + 0.05 = 0.15

∴ El espesor excedido en el 90% de los bordes, x = 0.15

d) Para una variable aleatoria uniforme continua, a ≤ x ≤ b, tenemos;

[tex]El \ significado, \mu = E(X) = \dfrac{(a + b)}{2}[/tex]

[tex]La \ varianza, \sigma^2 = V(X) = \dfrac{(b - a)^2}{12}[/tex]

Para la distribución de espesor de borde dada, tenemos;

0.05 < x < 1.05

[tex]\therefore El \ significado, \mu = E(X) = \dfrac{(0.05 + 1.05)}{2} = 0.55[/tex]

El significado E(X) = 0.55

[tex]La \ varianza, \sigma^2 = V(X) = \dfrac{(1.05 - 0.05)^2}{12} = 1/12 = 8.\overline 3[/tex]

La varianza, V(X) = 8.[tex]\overline 3[/tex]

Answer:

x > -2.5 (-2.5, infinity)

Step-by-step explanation:

Given the inequality expression

5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4

Expand

15.3 + 11.22x > -14.25 - 10.2x - 24

15.3 + 11.22x > -38.25 - 10.2x

Collect the like erms

11.22x + 10.2x > -38.25 - 15.3

21.42x > -53.55

x > -53.55/21.42

x > -2.5 (-2.5, infinity)

This gives the required solution

Answer:

(-2.5, infinity)

Step-by-step explanation:

correct on EDG

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Well

lets go left to right (but it really doesn't matter as it's only multiplication the whole way)

2*3 = 6

6*6 = 36

36 is the answer

Answer:

[tex]p = 0.3w[/tex]

Step-by-step explanation:

Given

[tex]w \to weight[/tex]

[tex]p \to price[/tex]

[tex](w,p) = (12,3.60)[/tex]

Required

The equation

First, we calculate the unit ratio (k)

This is calculated by dividing price by weight

[tex]k = p/w[/tex]

[tex]k = 3.60/12[/tex]

[tex]k = 0.3[/tex]

Recall that: [tex]k = p/w[/tex]

Make p the subject

[tex]p = kw[/tex]

Substitute [tex]k = 0.3[/tex]

[tex]p = 0.3w[/tex]

Answer:

A

Step-by-step explanation:

Answer:

Hey! I just took the test and the correct answer is option B.

Step-by-step explanation:

Answer:

See answers below;

Step-by-step explanation:

Find the diagram attached

12) Given the following

m<EF = 3x - 6

m<GF = 15x - 30

From the diagram, arcEf and arcGF are supplementary. Hence;

arcEF + arcGF = 180

3x - 6 + 15x - 30  = 180

18x - 36 = 180

18x = 180 + 36

18x = 216

x = 216/18

x = 12degrees

arcEF = 3x-6

arcEF = 3(12) - 6

arcEF = 36 - 6

arcEF = 30degrees

arcGF = 180 - aecEF

arcGF = 180 - 30

arcGF = 150degrees

Since arcDE = arcGF (vertical angles), hence arcDE = 150degrees

arcDFG = arcDG+arcGF

arcDFG = 30 + 150

arcDFG = 180degrees

13) arcMN = arcQP (vertical angles)

12x-5 = 6x+3

Collect like terms

12x - 6x = 3 + 5

6x = 8

x = 8/6

x = 1.3

arcMN =12x - 5

arcMN = 12(8/6) - 5

arcMN = 16 - 5

arcMN = 11degres

arcNP = 180 - arcMN

arcNP = 180 - 11

arcNP = 169degrees

Since arcNQP lies on straight line, hence arcNQP is 180degrees

Answer: The answer is B,C, and D

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{5.2}{100} \times 156000 \\ = 8112commission[/tex]

Answer:

90°, 78°, 12°

Step-by-step explanation:

let the third angle be x then the second angle is 7x - 6

Since 1 of the angles in the triangle is 90° then the second and third angles sum to 90° , then

x + 7x - 6 = 90

8x - 6 = 90 ( add 6 to both sides )

8x = 96 ( divide both sides by 8 )

x = 12

Then

second angle = 7x - 6 = 7(12) - 6 = 84 - 6 = 78°

The 3 angles are 90°, 78°, 12°

Answer:

15.866

Step-by-step explanation:

you would first find the mean of the data set by adding all the numbers together and dividing by the number of data points given (7 in this case).

you would then use the mean to solve for the standard deviation by using the equation, σ=√Σ(x-μ)²/N.

first, subtract the mean from all the data points

then, square each calculated value from above

then, add the squared values together

you would then divide 1762 by 7 (number of data values given orginally)

finally, take the square root of 251.714 to find the standard deviation

Answer:

Kidz comic costs the most

Step-by-step explanation:

Given

Family Fun

[tex]C(x) = 1.99x[/tex]

Kidz Comics

[tex]m = 1.85[/tex] --- monthly rate

[tex]b = 10[/tex] --- delivery charge

Required

Which is more expensive

A linear function is represented as:

[tex]f(x) = mx + b[/tex]

Where

[tex]m = rate[/tex]

[tex]b = y\ intercept[/tex] --- i.e. the base charge

So, for Kidz comic; We have:

[tex]f(x) = mx + b[/tex]

[tex]C(x) = 1.85x + 10[/tex]

To calculate the annual cost, we set x = 12; i.e. 12 months.

So, we have:

[tex]C(x) = 1.99x[/tex] ---- Family Fun

[tex]C(12) = 1.99 * 12[/tex]

[tex]C(12) = 23.88[/tex]

[tex]C(x) = 1.85x + 10[/tex] --- Kidz comic

[tex]C(12) = 1.85*12 + 10[/tex]

[tex]C(12) = 22.2 + 10[/tex]

[tex]C(12) = 32.2[/tex]

By comparison

[tex]32.2 > 23.88[/tex]

Hence, Kidz comic is more expensive

The principal, real, root of:

[tex]\sqrt[2]{55}[/tex] =7.41619849

Answer:

2.a..A=1/2 ×1.0×2.4=1.2m²

b.area of rectangle button=l×w=2.4×2.8=6.72m²

c.area of back =l×w=1.0×2.8=2.8m²

d.area of top =l×w=2.8×2.6=7.28m²

3.

total area =2×area of traingular side +area of rectangle button+c.area of back+area of top

=2×1.2+6.72+2.8+7.28=19.2m²

4.Assumption

total area of triangular prism is

sum of area if each faces.

Answer:

$2539.47

10.18722679 (make sure you round this)

Step-by-step explanation:

a.)

Equation for compound interest:

[tex]AV=P(1+\frac{i}{n})^{n*t}\\2000(1+\frac{.04}{4})^{4*6}\\2000(1.01)^{24}\\2539.469297\\[/tex]

which rounds to

2539.47

b.)

using the same equation we can write

[tex]3000=2000(1+\frac{.04}{4})^{4t}\\1.5=1.01^{4t}\\log_{1.01}1.5=4t\\log_{1.01}1.5=\frac{log(1.5)}{log(1.01)}=40.7489\\40.7489=4t\\10.18722679=t[/tex]

not sure how to round this, so I'll leave that part up to you

Answer:

Dnnd

Step-by-step explanation:

Answer:

The lateral faces meet at a common vertex. The height of the pyramid is the perpendicular distance from the base to the vertex. A pyramid is a regular pyramid if its ... A triangular pyramid has a triangle base. regular pyramid. A right pyramid is ...

Missing

Step-by-step explanation: