Evaluate the following; ( rounding off to three decimal places) 1.2.1 cos 243,2°​

Answer:

A. point

Step-by-step explanation:

An intersection of a line and a plane is at the point.

Answer:

Kindly check explanation

Step-by-step explanation:

pˆ = 43 / 200 = 0.215

A.)

The confidence interval obtained :

0.215 ± 0.057 = (0.158 ; 0.272)

Since, 0.215 is within the confidence interval, we can conclude that, dice will lie face up on baked die more often than fair dice.

B.)

H0:p=16 versus Ha:p>16

Decision :

Reject H0 ; if Pvalue < α

Pvalue = 0.033 ; α = 0.05

0.033 < 0.05 ; we reject H0

HENCE, there is significant evidence to conclude that the proportion of face landing up on a baked dice is greater than 16. HENCE, it agrees with our conclusion in (1).

C.)

L=pˆ+z∗√pˆ(1−pˆ)n

Z critical for a one sided 95% confidence interval is 1.64

pˆ = 0.215

L = 0.215 + 1.64 * √(0.215*0.785) / 200

L = 0.215 + (1.64 * 0.1299134)

L = 0.215 + 0.213057976

L = 0.428

(-∞, 0.428)

Answer:

Therefore, area is 50.24

Step-by-step explanation:

⇒ Area = [tex] \sf \pi {r}^2 [/tex]

Radius = 4

⇒Area = 3.14 × 4²

⇒Area = 50.24

​

The answer:= 12π

​

I got this on khan academy.

Answer:

x° = 74°

Step-by-step explanation:

The supplementary angle of 106° is x°

x° = 180° - 106° = 74°

Hope this helps

Answer:

$3600

Step-by-step explanation:

900/5=180

180*20=3600

Answer:

$3600

Step-by-step explanation:

Since they are being sold 5 at a time, divide 900 by 5 first to get 180. Then, since every 5 are worth 20$, multiply 20 by 180 to get $3600.

Answer:

0.065 units ³

Step-by-step explanation:

Volume of sphere = 4/3 π r³

=> 4/3 × 22/7 × 1/4 × 1/4 × 1/4

=> 0.065 units³

Answer:

[tex]\frac{1}{48}[/tex] π units³

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius ) , then

V = [tex]\frac{4}{3}[/tex] π × ( [tex]\frac{1}{4}[/tex] )³

  = [tex]\frac{4}{3}[/tex] π × [tex]\frac{1}{64}[/tex] ( cancel 4 and 64 on numerator/ denominator by 4 )

  = [tex]\frac{1}{3}[/tex] π × [tex]\frac{1}{16}[/tex]

  = [tex]\frac{1}{48}[/tex] π units³

Answer:

B

Step-by-step explanation:

As stated in the problem x is the number of hours that he works.

x = 6y

All of the other answers establish y as 6, but B is the only answer that has 6 Infront of y (Pretty much multiplying it)

If you were to plug 6 into Y you would get 6(6)

6 times 6 equals thirty six.

x ≠ 36

Answer:

So you must first get the total of all the birds, which is going be a fraction of course , that being 14/14 birds in total, since there are only 3 black birds the probability of me getting a black one 3/14 because there are fourteen in total, and the probability for the green birds is 6/14.

The combined probability that the first bird is black and the second is green is 0.0918

Probability is the likeliness of an event to happen.

Total Blue birds = 5

Total Green birds = 6

Total Black birds = 3

Total birds = 14

The probability of selecting two birds such that the first bird is black and the second is green.

Probability = ( No. of the desired outcome )/( Total outcomes)

The probability of selecting black bird is 3/14

The probability of selecting green bird is 6/14

Therefore, the combined probability that the first bird is black and the second is green is

= (3/14) * (6/14)

= 18/196

= 0.0918

To know more about Probability

https://brainly.com/question/11234923

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Hi!

Given the area formula ~ A = LW

We need to multiply the two values:

[tex]\sqrt[4]{11} * \sqrt[4]{3}[/tex]

Since they have the same root, 4, we can multiply what's inside of the radical and give it the same root.

[tex]11*3=33[/tex]

Now, we apply the same root as before:

[tex]\sqrt[4]{33}[/tex]

Therefore, your answer is [tex]\sqrt[4]{33}[/tex]

Now, if you need that as a numerical value rather than a radical, it's roughly [tex]2.397[/tex]

Answer:

[tex]\textsf{area}=\sqrt[4]{33}\:\textsf{square units}[/tex]

Step-by-step explanation:

Formula

Area of a rectangle = length × width

Given:

Substitute given values into the formula:

[tex]\implies \textsf{area}=\sqrt[4]{11} \cdot \sqrt[4]{3}[/tex]

[tex]\textsf{Apply radical rule}\quad\sqrt[n]{a} \cdot \sqrt[n]{b}=\sqrt[n]{ab}:[/tex]

[tex]\implies \textsf{area}=\sqrt[4]{11 \cdot 3} =\sqrt[4]{33}\:\textsf{square units}[/tex]

Answer:

28,200 naira would be his income after he paid 1800 to taxes

Step-by-step explanation:

First, let's use the information to find out how much he got taxes on.

We should deduct 1000 naira from his monthly income because it is not taxed leaving 30,000 of taxable income

Then multiply his income by the percentage of tax he receives which is .06

30,000 x .06 = 1800

Then subtract money that is taxed by his income

30,000 - 1800 = 28,2000

Answer:

[tex]83[/tex]

Step-by-step explanation:

[tex]5 - (18 \div 6) + (2 + 7)^{2} [/tex]

Divide the numbers ⬇

[tex]5 - 3 + (2 + 7)^{2} [/tex]

Add the numbers ⬇

[tex]5 - 3 + 9 ^{2} [/tex]

Evaluate the power ⬇

[tex]5 - 3 + 81[/tex]

Calculate the sum or difference ⬇

[tex]5 - 3 + 81 = 83[/tex]

Hope this helps!! :)

Answer:

The mean is 77.

Step-by-step explanation:

Step one: add all the numbers

Step two: Divide the sum by the number of values you added

(example: 1,5,8,12,13. You would add them together, since we have 5 numbers, we will divide the sum by 5, then we have the mean)

462 divided by 6 is 77

Hope this helps!

Answer:

+ 0.26

Step-by-step explanation:

Answer:PLS HELP ME WITH THIS!!!

PLS HELP ME WITH THIS!!!

Step-by-step explanation:PLS HELP ME WITH THIS!!!

is your correct answer

Answer:

$5.01

Step-by-step explanation:

20 - (1.73 + 8.22 + 5.04)

20 - (9.95 + 5.04)

20 - 14.99

5.01

Therefore, my answer is right.

Answer:

65.54% (nearest hundredth)

Step-by-step explanation:

Given:

[tex]\sf X \sim N(\mu, \sigma^2)\implies X \sim N(9000,1000^2)[/tex]

P(X > 8600) = 1 - P(X ≤ 8600)

                    = 1 - 0.3445782584

                    = 0.6554217416

                    = 65.54%

Answer:

$1,100

Step-by-step Explanation:

Dee Wallace's salary in 2006 = $61,000 Dee Wallace's salary in 2009 = $64,300

The salary increased in => 2009 - 2006 = 3yrs

The amount of salary increased = 64,300-61000 = $3,300

The annual change of salary = 3,300/3 = $1,100

[tex]~~~~~~\tan^{-1}(xy) = \sin^{-1}(4x+4y)\\\\\\\implies \dfrac d{dx} \left[ \tan^{-1}(xy)\right] = \dfrac d{dx} \sin^{-1}\left( 4x+4y\right)\\ \\\\\implies \dfrac{1}{1+(xy)^2} \left[ \dfrac{d}{dx} (xy)\right] = \dfrac{1}{\sqrt{1-(4x+4y)^2}} \cdot \dfrac{d}{dx}(4x+4y)\\\\\\\implies \dfrac{1}{1+x^2 y^2} \left(x\dfrac{dy}{dx}+y \right)=\dfrac{1}{\sqrt{1-(4x+4y)^2}} \left(4+ 4 \dfrac{dy}{dx} \right)\\\\\\\\[/tex]

[tex]\implies \left(\dfrac{x}{1+x^2y^2} \right) \dfrac{dy}{dx} + \dfrac{y}{1+x^2y^2}=\dfrac{1}{\sqrt{1-(4x+4y)^2}} \left(4+ 4 \dfrac{dy}{dx} \right)\\[/tex]

[tex]\\\\\implies 0 \cdot \dfrac{dy}{dx} +0 = \dfrac{1}{\sqrt{1 -0}} \left(4+4 \dfrac{dy}{dx} \right) ~~~~~~~~~;\left[ \text{at}~~ (0,0) \right]\\\\\\\implies 4+4 \dfrac{dy}{dx} = 0\\\\\\\implies \dfrac{dy}{dx} = -\dfrac 44\\\\\\\implies \dfrac{dy}{dx} = -1\\\\\text{So, the slope of the tangent line at (0,0) is}~ -1\\ \\\\\text{The equation of tangent line,}\\\\~~~~~~y-0 = -1(x-0)\\\\\implies y=-x[/tex]

Answer: 5km

Step-by-step explanation: 2cm=1 km

10cm divided by 2 is 5km

Answer:

translate down 6 units and left 3 units

Answer:

First, let's find how many students there are in total:

11 girls + 9 boys

= 20 students.

Out of those 20 students, we are trying to find the probability if Natalia will be selected first.

There is only one Natalia.

So, out of those students, the probability of selecting Natalia is a:

1/20 probability

(if wanted to convert into a percentage):

1/20 x 100

= 5% probability

Since we already know there are 28 given pens in total and 4 of them are red pens, there is a:

4/28 chance of selecting a red pen which can be simplified to a 1/7 probability.

(if wanted to convert into a percentage):

1/7 x 100

= 14% probability

Since we already know there are 24 jelly beans in total and 9 of them are cherry beans, there is a:

9/24 chance/probability of selecting a cherry jelly bean.

(if wanted to convert into a percentage):

9/24 x 100

= 37.5% probability

Let's first figure out how many marbles there are in total.

2 + 3 + 7

= 12 marbles in total.

Now let's exclude the marbles that are blue and yellow, leaving us with 7 orange marbles.

So the probability of selecting a marble that isn't blue/yellow is a:

7/12 probability

(if wanted to convert into a percentage)

7/12 x 100

= 58% probability

Answer:

lim x - 3 + f ( x ) - As 3 approaches 3 from the right, the value of f ( x ) approaches 0. lim x - 3 f ( x ) - Since the value of f ( x ) as x approaches 3 from the left does not equal the value as x approaches 3 from the right, this limit does not exist.

Answer:

44 servings are in the bottle

Answer:

44

Step-by-step explanation:

One trick for dividing fractions is:

1. Keep the first fraction. 22/1 divided by 1/2

2. Change division into multiplication. 22/1 times 1/2

3. Flip the second fraction. 22/1 times 2/1

22*2 is 44

1*1 is 1

The final answer should be 44/1

Answer:pie charts?

Step-by-step explanation:

Answer:

X=-1 or x=1/3

Step-by-step explanation:

That is the explanation in the photo