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We are given 0.3770. Since the number is behind 0 on the normal distribution curve, we can infer that 50% of data lies between the left side of the curve to the middle.

Subtracting 0.377 from 0.5, we get 0.123. Looking at our z-scores table (Table A Standard normal probabilities from AP Stats), we can see that -1.16 is closest to our desired value at 0.1230. Thus, z should be -1.16.

Recall the triple angle identity for sine:

sin(3x) = 3 sin(x) cos²(x) - sin³(x)

… = 3 sin(x) (1 - sin²(x)) - sin³(x)

… = 3 sin(x) - 4 sin³(x)

So the equation is equivalent to

sin²(x) - 2 sin(x) + 2 = sin²(3x)

sin²(x) - 2 sin(x) + 2 = (3 sin(x) - 4 sin³(x))²

sin²(x) - 2 sin(x) + 2 = 9 sin²(x) - 24 sin⁴(x) + 16 sin⁶(x)

16 sin⁶(x) - 24 sin⁴(x) + 8 sin²(x) + 2 sin(x) - 2 = 0

or, by replacing y = sin(x),

16y ⁶ - 24y ⁴ + 8y ² + 2y - 2 = 0

By inspection, y = 1 is a root, since

16 - 24 + 8 + 2 - 2 = 0

so we get one family of solutions,

sin(x) = 1   ===>   x = arcsin(1) + 2nπ = π/2 + 2nπ

Now suppose y ≠ 1. Dividing both sides of the sextic equation by y - 1 then gives

(16y ⁶ - 24y ⁴ + 8y ² + 2y - 2)/(y - 1) = 0

16y ⁵ + 16y ⁴ - 8y ³ - 8y ² + 2 = 0

Unfortunately, the remaining roots can only be obtained through numerical methods. Using a calculator, you would find

y ≈ -1.127

y ≈ -0.475 ± 0.368i

y ≈ 0.539 ± 0.127i

But if you're solving over the reals, you can ignore these solutions. Remember that sin(x) is bounded between -1 and 1, and its value goes outside this interval only when x is complex.

Answer:

3 slices of pizza.

Step-by-step explanation:18/6=3

Answer: [tex]3\sqrt{3[/tex]

Step-by-step explanation: use pythagorean theorem to solve this. which is a^2 + b^2 = c^2

lets say b=3 and c=6. plug this into the equation.  (6)^2 - (3)^2 + = 36 - 9 which is 27 = c^2. to get c from c^2, square root the c^2 value

the square root of 27 is [tex]3\sqrt{3[/tex] in simplest radical form

Answer:

Pls take a clearer picture or type down the values pls. Is angle D=6x+3 or something else?

Answer:

3.9 - C

Step-by-step explanation:

This forms a triangle with a base of 2.5 and a height of 3.

Using the Pythagorean Theorem, 2.5^2 + 3^2 = c^2

This gives you the answer 3.91.

Answer:

4:3

Step-by-step explanation:

There are 4 A's and 3 B's, so the ratio would be 4:3.

The ratio would not be 3:4, because you are asking for A's to B's, and not B's to A's.

Answer:

4:3

Step-by-step explanation:

There are 4 A's in this set and only 3 B's. Often confused as 3:4, however, that would be the ratio of B's to A's. This ration can't be simplified either leaving it at 4:3.

Hope this helps! :)

Answer:

75 cmmmmmmmmmmmmmmmmmm

Answer:

x = 11/9

Step-by-step explanation:

Answer:

[tex]-15[/tex]

Step-by-step explanation:

We can factor out a 1 from -3 to get [tex]5\cdot(-3)=5\cdot-1\cdot3=-1(5\cdot3)[/tex].

We know from simple arithmetic that [tex]5\cdot3=5+5+5=10+5=15[/tex].

So, our answer is [tex]-1(15)=\boxed{-15}[/tex]

Answer:

The product of 5 and 3 is 15.

Statement: The product of a positive and a positive is a positive.

Step-by-step explanation:

5 x 3 = 15

It is a positive

Answer:

100

Step-by-step explanation:

10*10

is the same thing as saying

10×10

hope this helped you- have a good day bro cya )

Using an arithmetic sequence, we have that:

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, we have that:

Hence, considering the common difference, each term is the previous term subtracted by 10, and:

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

#SPJ1

Answer:

Hii, I believe your answer would be $3,360

Hope this helps!

Step-by-step explanation:

Answer:

hold on

Step-by-step explanation:

Answer:

2× 22=44÷4=6/4 o 6.4 6.4=44. ×2 x=6.4

assuming you're trying to find 50 books = $n

n = 160$

Answer:

He ate 1/4 of a pizza.

Step-by-step explanation:

1/3 basically means: There are 3 parts, you take 1 of those parts

so 3/4 means that there are three fourths. 3/4 divided by 3 = 1/4. He ate 1/4 of a pizza.

Answer:

[tex]z^{7/2}[/tex]

Step-by-step explanation:

sqrt[(z^3)(z^4)] = [tex]\sqrt{z^7}[/tex] = [tex]z^{7/2}[/tex]

Answer:

64:1

It doubles every 10 minutes, so it multiplies by two 6 times in an hour. 1x2x2x2x2x2x2 = 64

Answer:

77 degrees

Step-by-step explanation:

<P + <O = 38 + 39 = 77 degrees

180 - 77 = <N = 103 degrees

180 - 103 = 77 degrees (<PNM)

Answer:

By definition definition a quadratic polynomial is a polynomial of degree two, the highest degree ter. is of second order.

A linear polynomial is defined by y=mx+c, the highest order is of degree 1.

If your x is raised to a fraction power then that is neither quadratic nor linear.

Answer:

83.3%

Step-by-step explanation:

Answer:

Explanation:

Well, Hope it helps you..

Y-your welcome in advance..

(;ŏ﹏ŏ)(ㆁωㆁ)

Answer:

5) Alternate Exterior angles       90º

6) Same side Interior angles.     132º if that says 48º on the page

7) Corresponding angles.       too blurry but they are congruent

8) Alternating Exterior angles.       too blurry but they are congruent

Step-by-step explanation:

Congruent means they are the same measurement just as a reminder :).

The graphical device that divides data according to the percentage they represent is a pie-chart.

Frequency distribution, relative frequency distribution, or percent frequency distribution all are statistical measures that want to establish the part of the distribution corresponding to each measure, that is, percentages, thus they are represented by pie-charts.

An example, suppose that among 50 people sampled, 20 prefer the NBA and 30 the NFL.

A similar problem is given at https://brainly.com/question/14354536

Answer:

Given: 2PQ = PR

Prove: Q is the midpoint of line PR

Statement: 2PQ = PQ + QR

Step-by-step explanation:

If Q is the midpoint of PR then

PR = PQ + QR [by segment addition postulate]

2PQ = PR [given]

2PQ = PQ + QR

2PQ-PQ = PQ + QR-PQ [by subtracting PQ from both sides]

PQ = QR

[tex] \because[/tex] Q lies on PR and PQ = QR

[tex] \therefore[/tex] Q is the midpoint of PR

Answer:

put the value of x yourself .Then it will be easy for you.

Answer:

y=3x+11

Step-by-step explanation:

hope this helps!!!