Solve for x. Each figure is parallelogram

Is there a transformation that maps shape I onto shape ll?

OLEGan [10]

Is there a picture to see from ?

6 0

3 years ago

Read 2 more answers

Which equation does not represent a function?

kati45 [8]

Answer:

D x2 + y2 = 4

Step-by-step explanation:

The following are the functions

y = 4

y = x - 4

y = x^2 - 4

but

x^2 + y^2 = 4 is not a function as there should be minimum one x value with two or more y values

But the above equation does not meet the criteria so this represent non-function

8 0

3 years ago

(a) A poll of 2,298 likely voters was conducted on the president’s performance. Approximately what margin of error would the app

SashulF [63]

Answer:

a.d= 0.0204

b.[0.4728;0.5072]

c.A.Yes, the confidence interval contains .50.

Step-by-step explanation:

Hello!

you have a sample of 2298 voters and the sample proportion of voters that agree with the president's performance is 49%, which means that the sample proportion of voters that oppose the president will be 51%.

a) The margin of error for a 95% CI to estimate the proportion of voters that approve the president.

The formula for the CI for the proportion is:

^ρ± $Z_{1-\alpha/2}$ *√(^ρ(1-^ρ))/n

The margin of error "d" is half the amplitude of the interval (or, to put it simply, is what you subtract and add to the sample proportion)

d= $Z_{0.975}$ *√(^ρ(1-^ρ))/n

d= 1.96*√(0.49(1-0.49))/2298

d= 0.0204

b) Construct a 90% CI for the true proportion

[^ρ± $Z_{1-\alpha/2}$ *√(^ρ(1-^ρ))/n]

[0.49±1.648*√(0.49(1-0.49))/2298]

[0.4728;0.5072]

c) The CI interval I've made in b. is for the voters that agree with that president, but since you want to see if the proportion of people on favor/opposing is 0.50 whether the interval is made with the information of the people who agree or oppose doesn't change the answer.

The interval contains 0.50 if you were to make the hypothesis that the proportion of people who agree with the president H₀:ρ=0.50, at complementary confidence level α: 0.10, you can say that the proportion of people who agree with the president is 50%. Then you can also say that the proportion of opposition voters is 50%.

I hope you have a SUPER day!

8 0

4 years ago

Complete the following.

Gnom [1K]

Answer:

Step-by-step explanation:

1) From the given right angle triangle,

22 represents the hypotenuse of the right angle triangle.

With m∠21 as the reference angle,

x represents the opposite side of the right angle triangle.

To determine x, we would apply

the Sine trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Sin 21 = x/22

x = 22 Sin 21 = 22 × 0.3584

x = 7.9

2) From the given right angle triangle,

RS represents the hypotenuse of the right angle triangle.

With m∠S as the reference angle,

x represents the adjacent side of the right angle triangle.

To determine x, we would apply

the Cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 33 = x/15

x = 15 Cos 33 = 15 × 0.8387

x = 12.6

3) From the given right angle triangle,

AB represents the hypotenuse of the right angle triangle.

With m∠A as the reference angle,

x represents the adjacent side of the right angle triangle.

y represents the opposite side of the right angle triangle.

To determine x, we would apply

the Cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 32 = x/10

x = 10 Cos 32 = 10 × 0.848

x = 8.5

To determine y, we would apply

the Sine trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Sin 32 = y/10

y = 10 Sin 32 = 10 × 0.5299

y = 0.53

5 0

3 years ago

Find the composite functions (f ∘ g) and (g ∘ f). what is the domain of each composite function? \[ \begin{array}{rcl} f(x) &amp

Burka [1]

Always remember two steps while finding the domain of composite function.

1) <em>First find the domain of inside/ input function( A common mistake is to skip this point).</em>

2) <em>Find the domain of new function after performing the composition.</em>

In our case, the given functions are

$f(x)=\frac{3}{x}$ , $g(x)= x^{2} -81$

Now,

1) (f ° g)(x)

= f[g(x)]

=f[x²-81]

$= \frac{3}{x^{2}-81}$ (this is (f ° g)(x) function)

Now, its domain

First find the domain of input function which is x²-81, its domain is the set of all real numbers.

domain of new function after performing composition which is $\frac{3}{x^{2}-81}$ .

x²-81=0 ⇒ (x-9)(x+9)=0

(x-9)=0 , (x+9)=0

x=9 , x=-9 (exclude these points from the domain because anything/0 does not exist in math)

So, the Domain of Composite function (f °g)(x) is the set of all real numbers except x=9, x=-9.

Domain= (-infinity, -9)U(-9, 9)U(9, infinity)

2) (g °f)(x)

= g[f(x)]

= g[3/x]

= (3/x)² -81

= 9/x² -81

$=\frac{9-81x^{2}}{x^{2}}$

First find the domain of input function 3/x which is set of all real numbers except x=0

$\frac{9-81x^{2}}{x^{2}}$

Domain of above function after performing composition is set of all real numbers except x=0

So, the domain of (g° f)(x) is the set of all real numbers except x=0.

Domain= (-infinity, 0)U(0, infinity)

6 0

4 years ago