Evaluate sin 360°. Round your answer to the nearest hundredth if necessary.

Using the Central Limit Theorem, it is found that the correct statement is given by:

bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex]

In this problem, for sophomores, we have that:

np = 32 x 0.18 = 5.76 < 10.

Hence the distribution cannot be normal, which means that the correct statement is:

bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

#SPJ1

Answer:

12 girls

28 boys

Step-by-step explanation:

Multiply 40 by 30/100 to get 12 girls.

Subtract 12 from 40 to get 28 boys.

Answer:

you would have to very good at not blinking to but if your not I suggest not to because it will hurt also why not try to test it out ;)

Step-by-step explanation:

Answer:

D Rotainon.

Step-by-step explanation:

The shape is flipped.

f - green (A)

f' - red (B)

f'' - blue (C)

The graph of f attains local extrema at the same points that f' = 0. There's evidence of this at x = 0 and between x = 3 and x = 3.5. (At both points, curve A attains a maximum, while curve B crosses the x-axis.)

Similarly, the graph of f' attains local extrema at the same points that f'' = 0. This is seen between x = 1.5 and x = 2. (B has a max, C crosses axis)

Also, the graph of A is continuous at x = 1.5 but exhibits a sharp turn, so at this point f is not differentiable and the graph of f' (and subsequently f'') is not continuous.

Using the multiples of 5 and 6, it is found that she will be 25 years old next year.

They are given as follows, considering numbers less than 40:

This year, her age is a multiple of 6. Next year, her age will be a multiple of 5, hence, her age next year is a multiple of 5, whose predecessor is a multiple of 6, hence the only option is that she will be 25 years old next year.

More can be learned about multiples at https://brainly.com/question/251701

#SPJ1

Answer:

[tex]D. \ \ x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

Step-by-step explanation:

ax² + bx + c = 0

[tex]a\left( x^{2}+\frac{b}{a} x+\frac{c}{a} \right) =0[/tex]

[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}}{4a^2}+\frac{c}{a} \right) =0[/tex]

[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a^2}\right) =0[/tex]

[tex]a\left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a}=0[/tex]

[tex]a\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a}[/tex]

[tex]\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a^2}[/tex]

[tex]x+\frac{b}{2a} =\frac{\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

Convert the cm to feet for the base and the height:

12/2 = 6 x 3 = 18 feet

9/2 = 4.5 x 3 = 13.5 feet

area = 1/2 x base x height

Area = 1/2 x 18 x 13.5

Area = 121.5 square feet

answer: 121.5 square feet

Answer:

56

Step-by-step explanation:

((3*2)+1)*8

Answer:

1 pint equals 16 ozs. so the answer in 48

Answer:

     y = 94

Step-by-step explanation:

Linear Pair:

The two adjacent angles whose non common arms form a straight line is called linear pair. They add up to 180

2x + 36 = 180 {linear pair}

       2x  = 180 - 36

       2x = 144

Sum of all angles of a n-sided polygon = (n-2)*180

                                                                 = ( 6-2)*180

                                                                 = 4 * 180

                                                                  = 720

y + 144 + 111 + 105 + 165 + 101 = 720

                                  y + 626  = 720

                                             y = 720 - 626

                                            [tex]\sf \boxed{y = 94^ \circ}[/tex]

Answer:

94°

Step-by-step explanation:

2x + 36 = 180 (angles on a straight line)

2x = 180 - 36

2x = 144

2x = 144°

Sum of all angles of a n-sided polygon = (n-2)×180 = ( 6-2)×180

= 4 × 180

= 720

y + 144 + 111 + 105 + 165 + 101 = 720

y + 626 = 720

y = 720 - 626

y=94 °

Answer:

each notebook costs $2

Step-by-step explanation:

21-5=16/8=$2

Answer:

59.5 miles

Step-by-step explanation:

1 in = 7 mi

7 x 8.5 = 59.5

Step-by-step explanation:

that was just answered with the last question, where you asked for the help here ...

x = 50°.

Answer:

152.5

Step-by-step explanation:

I think that might be the answer ( im not that good at math )

The components of v are -2 and 1.

The components of a vector in two dimension coordinate system are usually considered to be x-component and y-component. It can be represented as, V = ([tex]v_x, v_y[/tex]), where V is the vector.

As, Vector v have an initial point at (6, -7) and a terminal point at (4, -6).

If initial point of vector [tex](x_1,y_1)[/tex] and terminal point is [tex](x_2,y_2)[/tex], then components of vector is

v= ([tex]x_2-x_1, y_2-y_1[/tex])

Initial point= (6,-7) and terminal point=(4,-6)

Then,

v= (4-6, -6-(-7))

v=(-2, 1)

Thus, the vector v=(-2, 1) have two components -2 and 1.

Learn more about vectors here:

https://brainly.com/question/20566503

#SPJ1

Answer:

y-5.5=0 * (x+3)

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

I'm going to assume the question has a typo and that the question is actually [tex]3x^2 -10x-8=0[/tex].

You can simplify this to:

[tex](3x+2)(x-4)=0[/tex]

This leaves the solutions [tex]x=-\frac{2}{3}[/tex] and x=4

The only positive solution therefore is x=4

Answer:

The answer is 4

Step-by-step explanation:

Use the improved quadratic formula (https://socratic.org/algebra/quadratic-equations-and-functions/quadratic-formula)

D=d^2=b^2-4ac=100+96=196⇒d±14

There are 2 real roots: x=-b/2a±d/2a=10/6±14/6=5/3±7/3

The positive real root is : 12/3=4

Answer:

1000

Step-by-step explanation:

Answer:

I think the answer is 12 and 19

Answer:

A) 400 + 72

Step-by-step explanation:

Let the certain number be denoted by x.

⇒ 5x = 40 [Equation 1]

⇒ 9x = 72 [Equation 2]

Multiply Equation 1 by 10 :

⇒ 10(5x) = 40(10)

⇒ 50x = 400 [Equation 3]

Finding the sum of Equation 2 and Equation 3 :

⇒ 50x + 9x = 400 + 72

⇒ 59x = 400 + 72

Hence, 59 times a certain number is represented by : 400 + 72

Answer:

no thank you

Step-by-step explanation:

lol good day

Answer:

Charlotte's age = 30 years

Olivia's age = 50 years

Step-by-step explanation:

Present ages of Charlotte & Olivia = 6:10.

Then, their present ages are:

Charlotte = 6x

Olivia = 10x

Now, in 10 years, their ratio = 4:6

Then,

Ratio of Charlotte's & Olivia's present age + 10 years each = Ratio of their ages in 10 years

[tex]\frac{6x + 10}{10x + 10} = \frac{4}{6} \\6(6x + 10) = 4 (10x + 10) \: \: \: \: [\mathrm{cross\: multiplication}]\\36x + 60 = 40x + 40\\36x - 40x = 40 - 60\\4x = 20\\\boxed{\bf\:x = 5}[/tex]

So,

Charlotte's present age [tex]= 6x = 6(5) = {\boxed{\bf\:30 \:years}[/tex]

Olivia's present age = [tex]10x = 10(5) = \boxed{\bf\:50 \: years}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

i got you the answer is .....

Step-by-step explanation:

there you go

Answer:

30 books

Step-by-step explanation:

36 / 1.2 = 30

You can pack 30 books and it will not exceed 36 Kg.

- - -

Side Note:

We don't know how heavy the suitcase is...

Answer:

1/13

Step-by-step explanation:

Probability (lime chew) :

The probability that the next chew Alang removes from the bag will be lime chew is 1/13.

The likelihood or chance of an event occurring is quantified by probability. It is represented by a number between 0 and 1, with 0 denoting an impossibility and 1 denoting a certainty.

For instance, there is only one outcome (rolling a "6") that result in the desired event, hence the chance of rolling a "6" on a fair six-sided die is 1/6. (rolling a "6"). , there is a 1/6 chance of rolling any other number.

By dividing the number of times a lime chew was chosen by the total number of trials, the likelihood of choosing a lime chew could be computed (26).

The likelihood of choosing a lime chew is; 2/26, which reduces to 1/13 in basic form.

Therefore, 1/13 is the probability.

To know more about probability visit:

brainly.com/question/13604758

#SPJ2

Answer:

Yes, because 8n + 4 = 4(2n + 1) because of the distributive property. And about the 4 = 52 - 8n, that is also equivalent to the rest of them because of the associative property.

OR

You could just solve the math and show that they are equivalent.

Answer:

See below

Step-by-step explanation:

a) 43.8 - 38 = 5.8 yrs

b) SD = 8.9 yrs    5.8 / 8.9 = .6517 SD   below the mean

(A z score merely shows how many standard deviations a score (age) is above or below the mean in SD units)

c) Z =     - .6517     Negative because it is BELOW the mean                                                                                   ( FYI    from z-score table: this is .2578  in percentage )

d) usual       ( it  (-.6517)  is between -2   and + 2  )