2. A meeting room has 8 rows of
chairs. Each row has 10 chairs.
The first people to arrive fil 2 rows.
How many chairs are not filled?

Answer:

a = 15yd is the answer.

Step-by-step explanation:

a = ?

b = 8yd

c = 17yd

By using the Pythagoras theorem,

a² + b² = c²

a² + 8² = 17²

a² + 64 = 289

a² = 289 - 64

a² = 225

a = 15

∴ a = 15yd is the length of the missing leg.

Answer:

OOO

Step-by-step explanation:

Answer:

a) A sample of 385 must be taken.

b) The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).

c) A sample of 246 is needed.

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Absence of preliminary data:

This means that we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05?

A sample of n must be taken.

n is found when [tex]M = 0.05[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96*0.5[/tex]

Dividing both sides by 0.05

[tex]\sqrt{n} = 1.96*10[/tex]

[tex](\sqrt{n})^2 = (19.6)^2[/tex]

[tex]n = 384.16[/tex]

Rounding up,

A sample of 385 must be taken.

Question b:

In a sample of 100 workers, 20 of them had changed jobs within the past year.

This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.1216[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.2784[/tex]

The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).

Question c:

Same procedure as question a, just with [tex]\pi = 0.2[/tex]

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.2*0.8}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96\sqrt{0.2*0.8}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.2*0.8}}{0.05}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.2*0.8}}{0.05})^2[/tex]

[tex]n = 245.8[/tex]

Rounding up

A sample of 246 is needed.

Answer:

420

Step-by-step explanation:

Answer:

k = 4/25 or 0.16

Step-by-step explanation:

Given the following data;

y = 4/5

x = 5

To find the variation constant, k;

y is directly proportional to x

Mathematically, y = kx

Substituting into the formula, we have;

4/5 = k5

Cross-multiplying, we have;

4 = 25k

k = 4/25

By definition of conditional probability,

P(A | B) = P(A and B) / P(B)

so

P(A and B) = P(A | B) P(B) = 0.5 × 0.58 = 0.29

Answer:

No its not

Step-by-step explanation:

13.603 is more then 13.068  

Answer:

it is biased

Step-by-step explanation:

Answer:

This is not a function

Step-by-step explanation:

Answer:

8 5 7 1 3 2 4 6

Step-by-step explanation:

my Cashsap kinqcollin

Answer:

1150.35

Step-by-step explanation:

Answer:

Answer is B

Step-by-step explanation: −4x + 5= −3

1. Subtract 5 from both sides −4x +5 −5 = −3 −5

2. You remain with this  −4x = −8

3. Divide both side by -4. -4x/-4 = -8/-4

4. Answer will be x = 2

Answer:

9x +4y

Step-by-step explanation:

step 1 : parentheses are priorities

so multiple the 6 to the parentheses

6x + 24y +3x -20y

combine the x's together

6x +3x + 24y -20y

9x + 4 y

Answer:

[tex]9x + 4y[/tex]

Step-by-step explanation:

1) Expand by distributing term.

[tex]6x + 24y + 3x - 20y[/tex]

2) Collect like terms.

[tex](6x + 3x) + (24y - 20y)[/tex]

3) Simplify.

[tex]9x + 4y[/tex]

Hence, the answer is 9x + 4y.

Answer:

-14x + 34y

Step-by-step explanation:

First, find the sum of the two expressions by adding like terms:

(15x + 15y) + (-18x + 15y)

= -3x + 30y

Now, subtract 11x - 4y, again by combining like terms:

(-3x + 30y) - (11x - 4y)

= -14x + 34y

So, the answer is -14x + 34y

Answer:

80

Step-by-step explanation:

sorry if wrong

Answer:

38

Step-by-step explanation: 100 - 62= 38

I am not sure of my answer tho

Answer: The first and last options are correct.

f(x) = pi/4 cos (pix/5 - pi/2)

f(x) = pi/4 sin (pix/5)

Step-by-step explanation

The graph shows that A = pi/4.

B = 10, so the period = 2pi/10 = pi/5.

sin and cos are cofunctions, so a phase shift of -pi/2 makes the two functions equal to each other.

Hope this helps :)

The correct answer is f(x) = π/4 cos (πx/5 - π/2) and f(x) = π/4 sin (πx/5).

option (A) and (D) are correct.

It is given that height of 50 feet and graph is given.

It is to find f(x).

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The graph shows that A = π/4.

B = 10, so the period = 2π/10 = π/5.

sin and cos are co-functions, so a phase shift of -π/2 makes the two functions equal to each other.

So, the option are (A) and (D).

Learn more about graph here:

https://brainly.com/question/23004564

#SPJ2

Answer:

The answer is 9.

Answer:

The answer is 9

Step-by-step explanation:

I got it right on the quiz

Answer:

The building is 64.6 feet tall.

Step-by-step explanation:

To determine the height of the building, let the height from the top of the building to the top of the tripod be represented by x. So that;

Height of the building = x + 5

But,

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]50^{o}[/tex] = [tex]\frac{x}{50}[/tex]

x = 50 x Tan [tex]50^{o}[/tex]

  = 50 x 1.1918

  = 59.59

x = 59.59

Height of the building = x + 5

                     = 59.59 + 5

                     = 64.6 ft

The height of the building is 64.6 feet.

Answer:

That’s just your millennial snowflake brain being unable to comprehend real work. My grandpa lost both his thumbs to frostbite while walking 29.67 kilomiles to school in 10 feet of snow in the summer uphill both ways and he could still wield any tool known to man. And he did so for 83 and a half years until they forced him to retire because he was making all the other workers look like pansies. When he was told he was being forced to retire, he marched into the CEO’s office and declared “I’d rather be dead than a deadbeat.” Then he dropped dead on the spot. Now that’s loyalty!

Answer:

I think it's false

Step-by-step explanation

Answer:

The probability that a randomly selected point within the circle falls in the white area is approximately 36.3%

Step-by-step explanation:

The given parameters of the area are;

The length of the radius of the circle, r = 4 cm

The length of the side of the inscribed quadrilateral, s = 4·√2 cm

The diagonals of the inscribed quadrilateral = 2 × The radius of the circle

∴ The diagonals of the inscribed quadrilateral are equal and given that the sides of the quadrilateral are equal, the quadrilateral is a square

The probability that a randomly selected point within the circle is white is given by the ratio of the white area to the brown square area as follows;

The white area = The total area - The area brown square

The total area, A = The area of the circle with radius, r = π·r²

∴ A = π·(4 cm)² = 16·π cm²

The area of the brown square, Asq = s² = 4·√2 cm × 4·√2 cm = 32 cm²

The white area, Aw = 16·π cm² - 32 cm² = 16·(π - 2) cm²

The probability that a randomly selected point within the circle falls in the white area is therefore;

[tex]P(W) = \dfrac{A_W}{T_A} = \dfrac{16 \cdot (\pi - 2) \, cm^2}{16 \cdot \pi \, cm^2 } \times 100= \left (1 - \dfrac{2}{\pi}\right) \times 100 \approx 36.338022763241865692 \%[/tex]

By rounding to the nearest tenth of a percent, we have;

The probability that a randomly selected point within the circle falls in the white area, P(W) ≈ 38.3%.

Answer:

Feet and yards; the 1 whole strip could represent 1 yd. and the [tex]\frac{1}{3}[/tex] strip could represent feet.

Answer:

5,8  8,3

Step-by-step explanation:

hoped this helped <33

Answer:

Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get. 2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.

Step-by-step explanation:

Answer:

5.03secs

Step-by-step explanation:

Given the height reached by the rocket expressed as;

y = -16x^2 + 161x + 108

The rocket reaches it max height when its velocity is zero

Velocity is expressed as;

V(x) = dy/dx  = 0

dy/dx = -32x + 161

0 = -32x + 161

32x = 161

x = 161/32

x = 5.03

Hence it will take 5.03secs for the rocket to reach its maximum height

Answer:

66

Step-by-step explanation: