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A coin is used to simulate the probability of parents having 1 boy and 1 girl if they have a total of two children. A head represents having a girl, and a tail represents having a boy. The coin is flipped twice for each trial. The first flip represents the first child, and the second flip represents the second child. The experiment was performed 12 times, and the results are recorded in the following table.

Trial First Flip Second Flip
1 H H
2 H T
3 T H
4 H T
5 T T
6 H H
7 T H
8 H T
9 H H
10 T T
11 T T
12 H H

Based on the simulation, what is the probability that parents will have 1 boy and 1 girl if they have a total of two children?

Enter your answer as a reduced fraction, like this: 3/14

Answer: -5

Step-by-step explanation:

Opposite sides of a parallelogram are parallel, and thus have equivalent slopes.

Answer:

C. Odd

Step-by-step explanation:

If you reflect this function across the y-axis it is not symmetrical, therefore it is not an even function

But, if you rotate this function by 180 degrees, it is unchanged, therefore it is and odd function

[tex]\\ \rm\rightarrowtail x^2-21x+108[/tex]

[tex]\\ \rm\rightarrowtail x^2-12x-9x+108[/tex]

[tex]\\ \rm\rightarrowtail x(x-12)-9(x-12)[/tex]

[tex]\\ \rm\rightarrowtail (x-9)(x-12)[/tex]

Done!

Answer:

42.67π ft³

Step-by-step explanation:

Given

Formula

Solving

Using the normal distribution, it is found that 15.87% of the students received a score below 64.

In a normal distribution 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]

In this problem, the mean and the standard deviation are given by, respectively: [tex]\mu = 70, \sigma = 6[/tex].

The proportion of students who received a score below 64 is the p-value of Z when X = 64, hence:

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

[tex]Z = \frac{64 - 70}{6}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

Hence, 15.87% of the students received a score below 64.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

32h=d

Step-by-step explanation:

yea, this is big brain time lol

also edge lol

Step-by-step explanation:

in a function every valid values of x has exactly one assigned y value.

in an ordered pair the first number is x, the second number is y.

the y in (k, 0) is therefore 0.

and this y is different to all other y values in the relation.

therefore, k must be different to all other defined x values (otherwise it would give an x value a second y value, which would make this a not-function).

so, k must be an integer not out of {-9, 0, 2}

Answer:

7.5 minutes

Step-by-step explanation:

90 seconds is equivalent to 1.5 minutes

1.5×5=7.5

Answer:

Her total would be $59 so, we would be a dollar extra.

The answer is Yes, the total will be $59.

Step-by-step explanation:

$58 - $18.50 = You need to earn $39.5.

Garden = $6.50 per hour

Cakes = $5.25 per hour

$6.50 X 3 hours = $19.50

$5.25 X 4 hours = $21

$21 + $19.50 = $40.50 totall

$18.50 + $40.50 = $59

Answer:

C the number of toothbrushes :)

Step-by-step explanation:

You can show how many were given away each month on a dot plot :)

The others would not make sense with the dot plot :)

Haeva great day!

Please rate and mark brainliest!

Answer:

See  below.

Step-by-step explanation:

Arranging the data in ascending order:

Team one: { 47, 49,  51,  53,  54,  54,  57, 59, 60, 62}

Team two:  {43, 48,  49,  51,   52, 53,  56, 57,  61,  63}

The mean for team one = sum of the scores / 10 =

= 546/10 = 54.6.

The median for team 1 = 54.

The mean for team two = sum of the scores / 10 =

= 533/10 = 53.3.

The median for team 2 = 52.5.

Team 1 has a higher mean than team 2:  54.6 - 53.3  = 1.3 higher.

In both cases, the mean is greater than the median though the difference is < 1 in both cases. So in both cases the distribution of the scores is close to symmetrical, with team 1 being slightly more symmetrical.

Based on the relative frequency and the number of times the experiment is to be performed, the number of times Event A should occur is 10 times.

The relative frequency in this regard is 1/3.

The number of times it will occur can be found as:

= Relative frequency x Number of times event was performed

Solving gives:

= 1/ 3 x 30

= 10 times

Find out more on relative frequency at https://brainly.com/question/3857836.

Answer: 12 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

The height of the building is: 26.585 m.

The angle formed by the line of sight and the horizontal plane for an object below the horizontal.

Given:

angle of depression= 28 degree,

distance between car and building= 50m

using trigonometry,

tan 28= P/B

0.5317= P/50

P= 26.585 m

Hence, the height of the building is 26.585 m.

Learn more about angle of depression here:

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The three main differences are management style, investment objective and cost — and index funds are the clear winner.

Sure hope this helps you and pls mark me brainiest!

The main difference between index funds and mutual funds is that index funds seek market-average returns whereas mutual funds tries to outperform the market.

"Index funds are investment funds that follow a benchmark index, such as the S&P 500 or the Nasdaq 100."

"A mutual fund is a professionally managed investment fund that pools money from many investors to purchase securities. "

"If a mutual fund is active, then it has high fees than index fees."

"The performance of index fund is predictable whereas the performance of active mutual fund is not predictable."

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Answer:

The last option: bottom right

Step-by-step explanation:

Answer:

b. [tex]3^{-x}[/tex]

Step-by-step explanation:

(-2, 9)

[tex]f(-2)=3^{-(-2)} =3^{2} =9[/tex]

(-1, 3)

[tex]f(-1)=3^{-(-1)} =3^{1} =3[/tex]

(0 1)

[tex]f(0)=3^{0} =1[/tex]

Hope this helps

Answer:

1440 ounces

Step-by-step explanation:

there are 16 ounces in a pound so multiply 90 by 16 and you get 1440 hope this helps!

Answer:

D-27 cm

Step-by-step explanation:

we are given that the top is 8cm

one side is 3..the 2 sides are the same length so total of 6

the bottom is 5, we know the top is 8 so 8-5 =3

the 2 breaks are 1 each

so we do

8 + 5+ 6+ 2+3 =24

Answer/Step-by-step explanation:

Quotient is simply the ratio of the first numerator to the second numerator:

Let's [tex]\frac{x_1}{y}\;and\;\frac{x_2}{y}[/tex] are two fractions in same terms.

Thus, [tex]\frac{x_1}{y}\div\frac{x_2}{y}[/tex] {Divided by a fraction is equal to multiplied by its reciprocal}

=[tex]\frac{x_1}{y}\times\frac{y}{x_2}[/tex]

Quotient is simply the quotient of their numerators.

Example could be:

[tex]\frac{2}{7}\div\frac{3}{7}[/tex]

[tex]\frac{2}{7}\times\frac{7}3}[/tex]

[tex]\frac{2}{3}[/tex]

2 is first numerator and 3 is the second numerator.

~lenvy~

Answer:

4.295cm

Step-by-step explanation:

Here,

Circumference = 27cm

We know,

C=2πr

or, 27 = 2×22×r

7

or, 44×r = 27

7

27

or, r = 44

7

or, r = 27×7

44

Therefore, r = 4.295cm

The expression that is equivalent to [tex]Cos(\frac{\pi }{2}+r )[/tex] is [tex]-Sinr[/tex].

Given trigonometric expression is:

[tex]Cos(\frac{\pi }{2}+r )[/tex]

The value of [tex]Cos(\frac{\pi }{2}+\theta )[/tex] is [tex]-Sin\theta[/tex] because [tex]\frac{\pi }{2} +\theta[/tex] lies in the second quadrant and the cosine function is negative in the second quadrant.

So, [tex]Cos(\frac{\pi }{2}+r )= -Sin r[/tex]

The range of sine and cosine functions is the same i.e. [-1,1].

Both the functions are periodic functions with periods 2π.

Hence, the expression that is equivalent to [tex]Cos(\frac{\pi }{2}+r )[/tex] is [tex]-Sinr[/tex].

To get more about trigonometric functions visit:

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Answer:3 jeans and 11 shirts with 15 dollars leftover

Step-by-step explanation:

3x25=75

11x10=110

110+75=185

200-185=15

25x4 will make the leftover money higher, so 3 and 11

Answer:

[tex]x=7 + \sqrt{3}[/tex]

[tex]x=7 - \sqrt{3}[/tex]

Step-by-step explanation:

Given equation:

[tex]5x^2-70x=-230[/tex]

Divide both sides by 5:

[tex]x^2-14x=-46[/tex]

Square half of the coefficient of [tex]x[/tex]:  [tex](-14 \div 2)^2=49[/tex]
and add this to both sides:

[tex]x^2-14x+49=-46+49[/tex]

Factor the left side and simplify the right side:

[tex](x-7)^2=3[/tex]

Square root both sides:

[tex]x-7=\pm\sqrt{3}[/tex]

Add 7 to both sides:

[tex]x=7 \pm \sqrt{3}[/tex]

[tex]\sf x=\pm \sqrt{3}+7[/tex]

solving step wise:

[tex]\sf 5x^2-70x=-230[/tex]

divide the following by 5

[tex]\sf x^2-14x=-46[/tex]

completing square

[tex]\sf (x-\dfrac{14}{2})^2-(\dfrac{14}{2})^2 =-46[/tex]

should look like this

[tex]\sf (x-7)^2-49=-46[/tex]

simplify by changing sides

[tex]\sf x-7=\pm \sqrt{3}[/tex]

final answer:

[tex]\sf x=\pm \sqrt{3}+7[/tex]

The true statement is that the 6-pack contains 0.130 litres more soda.

He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle.

6 pack of 0.355-liter cans. Therefore, let's establish the following proportion.

1 pack = 0.355 litre can

6 pack = ?

cross multiply

volume of soda = 6 × 0.355 = 2.13 litres

The 6-pack of 0.355-liter cans  contains 2.13 litres of soda.

difference = 2.13 - 2.00 = 0.13 litres

Therefore, the 6-pack contains 0.130 litres more soda

learn more on volume here:  https://brainly.com/question/20887167

Answer:

Read the explanation

Step-by-step explanation:

look at the photo

Answer:

  36.24 cm²

Step-by-step explanation:

The shaded region is the inscribed circle in the isosceles triangle. In order to find its area, we need to know the radius of the circle.

__

One way to find the radius of the circle is to make use of the Angle Bisector theorem. It tells us an angle bisector divides the sides of a triangle proportionately. In the attached figure, that means angle bisector CD divides segment AE in proportion to sides CA and CE.

To make use of this theorem, we need to know the length of side CA. That is the hypotenuse of right triangle AEC, so can be found using the Pythagorean theorem. Isosceles triangle ABC is given as having height AE=10 and base BC = 12.

  CA² = CE² +AE²

  CA² = 6² +10² = 136 . . . . . . . CE is half the base length: 12/2 = 6

  CA = √136 = 2√34

__

Now we can write the proportion using the angle bisector theorem.

  DE/CE = DA/CA

  r/6 = (10 -r)/(2√34)

  r√34 = 3(10 -r) . . . . . . . multiply by 6√34

  r(3 +√34) = 30

  r = 30/(3 +√34)

__

From this, we can find the area of the shaded circle to be ...

  A = πr² = (3.14)(30/(3 +√34))²

  = 3.14·900/(43 +6√34) ≈ 36.2374 . . . cm²

The area of the shaded region is about 36.24 cm².

_____

Additional comment

Using area considerations, the formula for the radius of the inscribed circle in an isosceles triangle with base 'b' and sides 'a' can be found to be ...

  [tex]r=\dfrac{b}{2}\sqrt{\dfrac{2a-b}{2a+b}}[/tex]

For a=√136 and b=12, this becomes ...

  [tex]r=\dfrac{12}{2}\sqrt{\dfrac{2\sqrt{136}-12}{2\sqrt{136}+12}}=6\sqrt{\dfrac{(\sqrt{34}-3)^2}{34-9}}=1.2(\sqrt{34}-3)\approx3.39714[/tex]

This is the same value we found above.

Answer:

y = - 4

Step-by-step explanation:

x = - 2

3x - 2y = 2

substitute x = - 2 into 3x - 2y = 2

3(- 2) - 2y = 2 ← step 1

- 6 - 2y = 2 ( add 6 to both sides ) ← step 2

- 2y = 8 ( divide both sides by - 2 )

y = - 4