Analyze the diagram below and complete the instructions that follow.

Find the value of x and the value of y.
A. x=22/2, y = 8
B. X= 2, y = 416
C. x=21/2, y= 2/6
D. x= 23, y = 613

Answer:

57°

Step-by-step explanation:

[tex] \theta = {sin}^{ - 1} \bigg( \frac{36}{43} \bigg) \\ \\ \theta = 56.846591584 \degree\\ \\ \theta \approx 57 \degree\\ \\ [/tex]

Given:

Center of hyperbola is at (h,k).

To find:

The standard forms of a hyperbola.

Solution:

We know that, standard forms of a hyperbola are

1. For Horizontal hyperbola:

[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]

2. For Vertical hyperbola:

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]

where, (h,k) is center of the hyperbola.

Therefore, the correct option is B.

Solution :

Here, [tex]$ \hat p$[/tex] = sample proportion of red outcomes

[tex]$ \hat p =\frac{58}{100}$[/tex]

[tex]$ \hat p$[/tex] = 0.58

So we have to test,

[tex]$H_0 : p = 0.5$[/tex]

V/S    [tex]$H_a: p \neq 0.5 $[/tex]

The test statistic is

[tex]$z = \frac{\hat p - p}{\sqrt{\frac{p(1-p)}{n}}}$[/tex]

[tex]$z = \frac{0.58 - 0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$[/tex]

  [tex]$=\frac{0.08}{0.05}$[/tex]

  = 1.600

P value using the z table is 0.110

So P value greater than 0.05

Therefore, there is no evidence that roulette wheel is out of balance.

Answer:

9 / 19

Step-by-step explanation:

Given that:

Number of slots on roulette wheel = 38

Number of red on wheel = 18

Number of black on wheel = 18

Number of green = 2

The probability that ball will land on red slot :

Recall: probability of event (A) = P(A)

P(A) = (number of required outcome / number of total possible outcomes)

Hence,

P(ball lands on red) = (Number of red slots / total number of slots)

P(ball lands on red) = 18 / 38

P(ball lands on red) = 9/ 19

Answer: the 2 on the right

Step-by-step explanation:

Answer:

it's the fourth one i did that assignment aswell

The ratio is 2 : 5 and the smaller portion is 100

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount be A = $ 350

Now , the ratio is 2 : 5

So , the total ratio is = 2x + 5x

                                 = 7x

And, the value 7x =  total amount

So , 7x = 350

Divide by 7 on both sides of the equation , we get

x = 50

So , the number 350 in the ratio 2 : 5 is 100 : 250

Hence , the smaller portion is 100

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Answer:

B. $3.56

Step-by-step explanation:

You take $28.48 and divide it by 8

28.48 / 8 = 3.56

/ = divide

Answer:

y=1/3x

When x of the line is -3, y of the line must be -1.When x of the line is 6, y of the line must be 2. y=1/3x+b. b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (-3,-1) and (6,2).(-3,-1). y=mx+b or -1=1/3 × -3+b, or solving for b: b=-1-(1/3)(-3). b=0.b came out to be zero, so there is no "+b" term.

Answer:

3.5 hours

Step-by-step explanation:

if you multiply 6 and 2 by 3.5, then add them you get 28

Answer:

x=5 and n=36

Step-by-step explanation:

For the first question: 32/8 = 4/1

4/1 = 20/x

4x = 20

x = 5

For the second question: 63/81 = 21/27

21/27 = 28/x

21x = 756

x = 36

Answer:

Product for A = 046

Product for B = 0230

Sum for C = 0.0276

Step-by-step explanation:

We need to multiply the terms and find the answers

First we multiply 2 with 0.23, then we multiply 1 with 0.23

   0.23

x    0.12

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

     046

   0230

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

    .0276

Since there are 2 numbers after decimal in 0.23 and same for 0.12, so we place the decimal so that there are 4 decimal places.

Counting of decimal will start from the units place.

So, Product for A = 046

Product for B = 0230

Sum for C = 0.0276

Answer:

54 groups of 1, 27 groups of 2, 18 groups of 3, 9 groups of 6, and repeat vice versa (6 groups of 9, etc).

Step-by-step explanation:

Total number of ways are 8 to arrange the balloon,

Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,

Given that,

Total number of balloon Sabrina has = 54,

The number of ways Sabrina can arrange the balloon are:

1 group of 54 balloons,

2 groups of 27 balloons,

3 groups of 18 balloons,

6 groups of 9 balloons,

9 groups of 6 balloons,

18 groups of 3 balloons,

27 groups of 2 balloons,

54 groups of 1 balloon,

There are total 8 different ways Sabrina can arrange the balloons.

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Answer:

Y:4     X:540

Step-by-step explanation:

Answer: first divide so you make it one and then you multiply hope that helps

Step-by-step explanation: then you can add them to get by one then multiply

Answer:

first you find out how much will 1/2 kg of carrot cost, that way you can multiply it by 3 to get what 3/2 cost.

So, 3÷ 5 = 0.6 per 1/2 kg. Then 0.6 × 3 = 1.8 dollars for 3/2 kg

[tex]\textsf{Hey there!}[/tex]

[tex]\text{Select the expressions that are equicalent to 8(6m)}\downarrow[/tex]

[tex]\text{We DON'T have any like terms so we CAN'T pair them off!}[/tex]

[tex]\mathsf{8(6m) \rightarrow 8 \times 6 \times \ m}\\\mathsf{8\times 6 = 48}}\\\mathsf{48\times\ m = 48m}\\\\\\\boxed{\boxed{\mathsf{Answer: \bf{48m}}}}\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

SoukaSoukaSoukaSoukaSoukaSoukaSoukaSoukaSoukaSouka

Answer:

The same letter lol

Step-by-step explanation:

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.

Answer:

the values of N for which there will be no spectral leakage are;

N = Integers multiple by 8

Step-by-step explanation:

Given that;

discrete-time sinusoidal segment x[n] = 6.2cos(0.75πn + 1)

Using DFT to compute the spectrum

The spectral leakage will not be present in the spectrum if the product f₀Td is an integer.

Here, f₀ is sinusoid's frequency and Td is the segment duration

Now we calculate the period of the signal

2π/ω = 2π/0.75π

ω =  2 / 0.75

( × 4 )

ω =  8 / 3

Here, the numerator value is the period of the signal

T₀ = 8

The spectral leakage will not be present in the spectrum if N is  the Integer multiple of period T₀.

Therefore, the values of N for which there will be no spectral leakage are;

N = Integers multiple by 8

Answer:

Answer:

X= 3.5

Step-by-step explanation:

4(6x-9.5)=46

24x-38=46

X=3.5

Answer:

44 magazines need to be sold

Step-by-step explanation:

Y=Mx+b

400=12x-124

524=12x

43.6667 or 43 (2/3)

round up since you cant sell 2/3 of a magazine

Answer:

the inequality is 124+12x≤400

Step-by-step explanation:

x=23

hope this helps

Answer:

-1 = 11

0 = 13

1 = 15

2 = 17

5 = 23

Step-by-step explanation:

2 (-1) +13 = 11

2 (0) +13 = 13

2 (1) +13 = 15

2 (2) +13 = 17

2 (5) +13 = 23

Answer:

Step-by-step explanation:

Adults = x, Children =y

3y=x

Answer:

Yes

Using SAS congruent property

Step-by-step explanation:

Ms Patel bought 4 pliers, 2 wrenches and 1 plier set.

        4:2:1

        PLIERS: 4 × 17.50 = $70

        WRENCHES: 2 × 21.50 = $43

        CHISEL SETS: 1 x 28 = $28

        TOTAL = $70 + $43 + $28 = $141

Mrs Patel purchased 2 wrenches, 4 pliers, and 1 chisel set for her shop.

I hoped this helped!