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Answer:

The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]

Step-by-step explanation:

We are given the following plane curve:

[tex]x = 7 \cos{t}[/tex]

[tex]y = 5 \cos{t}[/tex]

Ordered pair for a value of t:

We find (x,y) for these values of t. So, when [tex]t = \frac{\pi}{6}[/tex]

[tex]x = 7 \cos{\frac{\pi}{6}} = 7\frac{\sqrt{3}}{2} = \frac{7\sqrt{3}}{2}[/tex]

[tex]y = 5 \cos{\frac{\pi}{6}} = 5\frac{\sqrt{3}}{2} = \frac{5\sqrt{3}}{2}[/tex]

The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]

Answer:

We reject H₀ we support the claim that the two proportion are different

Step-by-step explanation:

Younger than 40 years old

Sample size  n₁  = 700

x₁  = 348

p₁ = 348 / 700      p₁ = 0,497     p₁ = 49,7 %

Above 40 years old

Sample size  n₂  = 650

x₂  = 290

p₂ = 290/ 700     p₂ = 0,414      p₂  = 41,4 %

p  =  ( n₁*p₁  +  n₂*p₂ ) / n₁ + n₂

p = 700 * 0,497  + 650 * 0,414 )   / 700 + 650

p = ( 347.9 + 269,1 ) / 1350

p = 0,457      p  = 45,7 %

q = 1 - p         q  = 54,3 %        q = 0,543

CI  is 90 %   significance level is  10 %     α = 10 %     α = 0,1  α/2 = 0,05

zscore for α/2       from z- table is : z(c) = 1,64

Test Hypothesis

Null Hypothesis                                    H₀        p₁  =  p₂

Alternative Hypothesis                        Hₐ        p₁  ≠  p₂

To calculate  z(s) =  (  p₁  -  p₂ ) / √ pq/n₁   +  pq/ n₂

p₁  -  p₂  =  0,497  -  0,414  =  0,083

√ pq/n₁   +  pq/ n₂   = √  0,457*0,543/ 700   +  0,457*0,543/ 650

√ pq/n₁   +  pq/ n₂   =  √ 3,545*10⁻⁴  + 3,82 * 10⁻⁴

√ pq/n₁   +  pq/ n₂   =  2,71 * 10⁻²   =  0,0271

z(s) =  0,083/ 0,0271

z(s) = 3,06

Comparing    z(s)  and z(c)

|z(s)| > |z(c)|

Then z(s) is in the rejection region and we reject H₀

Answer: x=11.9

Step-by-step explanation:

Here, we need to know the concept of trigonometry

---------------------------------------------------------------------------------

Given

θ = 32°

Hypotenuse = 14

x = adjacent side (relative to θ)

Solve

cos ( 32 ) = x / 14

x = 14 cos ( 32 )

x≈11.9

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 11.9

Step-by-step explanation:

x / 32 / 14

x = 11.9

Hope this helps

Answer:

a=270cm^2

Step-by-step explanation:

a= HbB/2

18×30/2

270cm^2

Answer:

Area =(H×B)÷2

=(18x30)÷2

=54O ÷2

=27O

Answer:

Verdader

o

Step-by-step explanation:

Answer:

Multiply 43x15x5

Step-by-step explanation:

length x whight x hight

Answer:

This is a standard notation used by many computer programs including Excel. Entering a value in this form is not the same as entering the logarithm of a number. This is simply a shortcut way to enter very large values, or tiny fractions, without using logarithms.

Step-by-step explanation:

Answer:

Correct Answer 4 Secs

Step-by-step explanation:

#Platolivesmatter

Hope this helped :)

The time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.

A relation is a function if it has only One y-value for each x-value.

Two friends are sitting on a seesaw at the park.

The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function.

Let t represent the time, in seconds, since the friends started seesawing.

t       0    1    2  3  4   5   6

h(t)  24 48 24 0 24 48 24

The friends start see sawing with the plank in a level position.

The initial position at 0 of them is at 24.

The group has to come back to this position after moving upward and downward.

The time it takes to reach upward is,

f(48)=1

The time it takes to reach downward after going upward is,

f(0)=3

Coming back to initial potion,

f(24)=4

Hence, the time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ7

Answer:

I think angle 7 could also measure 117, and I think the angle relationship is alternate exterior angles.

Step-by-step explanation:

If my answers are wrong, I am incredibly sorry!

Answer:

x = -5

Step-by-step explanation:

2/3x - 1/2 = 1/3 + 5/6x

add 1/2 to each side of the equation:

2/3x = 5/6 + 5/6x

subtract 2/3x from both sides:

0 = 5/6 + 1/6x

subtract 5/6 from both sides:

1/6x = - 5/6

multiply both sides by 6:

x = -5

50 millimeters

keystrokes

Answer:

We aren't going to do all your homework for you. That's why no one is answering. If you have one specific question, I can help

Step-by-step explanation:

. No one is going to do this whole assignment/homework.

Answer:

Michelle's position below the surface of water = 53 meter below water level

Step-by-step explanation:

Given:

Chris position in water = 40  meters below the surface of water

Michelle drive more than 13 meter below from Chris

Find:

Michelle's position below the surface of water

Computation:

Michelle's position below the surface of water = Chris position in water + Extra dive then Chris

Michelle's position below the surface of water = 40 meter + 13 meter

Michelle's position below the surface of water = 53 meter below water level

Answer:

It will measure 30°. I hope it helps you

Answer:

C

Step-by-step explanation:

A and B are not straight lines, so they are not linear functions.

C and D are straight lines, so they are linear. However, D fails the vertical line test, so it is not a function.

C and D are straight lines, they are linear. Then the linear graphs are represented by options C and D.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

A and B are not straight lines, they are not linear functions. Therefore,

C and D are straight lines, they are linear. Then the linear graphs are represented by options C and D.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ2

Answer: In my opinion B. 0.005 is the correct answer

Step-by-step explanation:

Answer:

Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Middle 68%

Between the 50 - (68/2) = 16th percentile and the 50 + (68/2) = 84th percentile.

16th percentile:

X when Z has a pvalue of 0.16. So X when Z = -0.995

84th percentile:

X when Z has a pvalue of 0.84. So X when Z = 0.995.

Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve

Answer:

57.99 °

Step-by-step explanation:

[tex]tan( x ) = \frac{16}{10} \\ x = arctan( \frac{16}{10} ) \\ x = 57.99 \: degrees[/tex]

Answer:

3) 57.99°

Step-by-step explanation:

16 is opposite of x° and 10 is adjacent to x°. Therefore, you use tangent because of SOHCAHTOA.

tan(x°)=opposite/adjacent

tan(x°)=16/10

tan⁻¹(tan(x°))=tan⁻¹(16/10)

x°=57.99461679°=58°

So the closest choice is 3) 57.99°

Answer:

106

Step-by-step explanation:

this question represents an arithmetic sequence problem where you can use this formula: a(n) = a(1) + d(n-1)  where 'n' is value you're solving for, a(1) is the initial value, and 'd' is the common difference

a(20) = 49 + 3(20-1)

= 49 + 3(19)

= 49 + 57

= 106

Answer: throw something at it maybe

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

A) A dilation by a scale factor of 2, centered at the origin, followed by a 180° clockwise rotation about the origin.

Step-by-step explanation:

a dilation by a scale factor of 2, centered at the origin will double its size and move point A from (-2,2) to (-4,4). Then the clockwise rotation of 180° degrees will rotate the figure so that it's point A (now called point D) will be at (4,-4).

Answer:

a pex

Step-by-step explanation:

Answer:

15 miles

Step-by-step explanation:

The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.

[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]

Take the square root of both sides

[tex]15=c[/tex]

Therefore, the length of the hypotenuse is 15 miles.

I hope this helps!

Step-by-step explanation:

To find the space a figure takes, we need to find the volume. Volume of a rectangular prism can be found by multiplying the length, width, and height of the figure.

We can start with the green block. The dimensions of this figure are 6cm, 3cm, and 3cm. The 5cm at the bottom is not a dimension of the green figure. Instead, it shows the total width of both blocks. We will use this later.

Back to the first block, we will find its volume by multiplying its dimensions together.

3 · 3 · 6 = 54

So, the volume of the first block is 54 cm³.

To this, we will add the volume of the blue block. We can find its dimensions with some simple deduction.

The picture shows that the height of the figure is 4cm less than the height of the green one, 6cm.

6 - 4 = 2

The height, then, is 2cm.

The width can be found by subtracting the width of the green block from the total width of both figures, 5cm.

5 - 3 = 2

So, the width is also 2cm.

We can see that the length of the blue block is equal to that of the green one, so we know that the length is 3cm.

Now, multiply all the dimensions we have found together.

2 · 2 · 3 = 12

The volume of the blue block is 12cm³.

We have found the volumes of both figures, so now we can add them both together to find the total.

54 + 12 = 66

So, the total volume is 66cm³.

I hope this was a satisfactory explanation ^^ Good luck, mate