How many yards did Satomi run?

Answer:

Step-by-step explanation:

From the given information, it is likely that the random variable(X) have the values below:

Let head be H

Let tail be T

So;

X(HH) = 2;

X(HT) = 1;

X(TH) = 1;

X(TT) = 0

The distribution can now be computed as:

[tex]p(X= TT) = \dfrac{1}{4}[/tex]

[tex]p(X=TH) = \dfrac{1}{4}[/tex]

[tex]p(X=HT) = \dfrac{1}{4}[/tex]

[tex]p(X=HH)= \dfrac{1}{4}[/tex]

Now, the expected value that is equivalent to the number of heads when the coin is flipped twice is:

[tex]E(X) = p(TT)*X(TT)+p(TH)*X(TH)+p(HT)*X(HT)+p(HH)*X(HH)[/tex]

[tex]E(X) = \dfrac{1}{4}\times 0 + \dfrac{1}{4}\times 1 + \dfrac{1}{4}\times 1 + \dfrac{1}{4}\times 2[/tex]

[tex]E(X) = 0 + \dfrac{1}{4}+ \dfrac{1}{4} + \dfrac{1}{2}[/tex]

[tex]E(X) =\dfrac{1+1+2}{4}[/tex]

[tex]E(X) =\dfrac{4}{4}[/tex]

E(X) = 1

[tex]E(X^2) = p(TT)*X(TT)^2+p(TH)*X(TH)^2+p(HT)*X(HT)^2+p(HH)*X(HH)^2[/tex]

[tex]E(X^2) = \dfrac{1}{4}\times 0^2+ \dfrac{1}{4}\times 1^2 + \dfrac{1}{4}\times 1^2 + \dfrac{1}{4}\times 2^2[/tex]

[tex]E(X^2) = 0 + \dfrac{1}{4}+ \dfrac{1}{4} + \dfrac{4}{4}[/tex]

[tex]E(X^2) =\dfrac{1+1+4}{4}[/tex]

[tex]E(X^2) =\dfrac{6}{4}[/tex]

[tex]E(X^2) =1.5[/tex]

Finally; To compute E²[X]

E²[X] = E[X]²

E²[X] = 1²

E²[X] = 1

The answer would be 30 because the triangle is 10, the circle is 5, and each black triangle is 2 which would be 10 plus 5 which is 15 then times 2 which is 30.

Answer:

20?

Step-by-step explanation:

If 3 triangles = 30 they we could assume that each triangle = 10

10 + 10 + 10 = 30

If one triangle = 10 then the 2 circles would = 5 in the 2nd equation

10 + 5 + 5 = 20

If 1 circle = 5 then the 1 full squares would = 4

5 + 4 + 4 = 13

1 triangle = 10 , 1 circle = 5, Half a square = 2

10 + 5 * 2 = ?

Using PEMDAS we would multiply 2 and 5 first to get 10

10 + 10 = 20

Answer:

wsfgnjjjj3999878 ixixixisixiixxiix

Answer:

Dependent

Step-by-step explanation:

The first draw has 10 marbles, the second draw has 9 marbles and the color of those 9 marbles depends on the marble picked in the first draw so the events are dependent.

Answer:

Dependant

Step-by-step explanation:

It would be independent if you put the marble BACK, because at first it was 1/10 to get the white marble and then it became 1/9.

The difference between twelve and three times a number.

Hope this helps! :)

Answer:

n = 11. 6n - 4 = 5n + 7.

Step-by-step explanation:

Also, if you've ever read Romeo and Juliet, please help me! I just need a general answer on my questions, and I'll give brainliest.

Answer:

B is the correct answer

Step-by-step explanation:

6(9+6)=54+36

6(15)=90

90=90

Answer:

D. 2

Step-by-step explanation:

The mode is the number in the data set that appears the most often. 2 appears twice while the others only appear once so 2 is the mode.

Answer:

2

Step-by-step explanation:

The way that you're to find the mode of a data set is by putting the numbers in order (so 2, 2, 5, 6, 8, 9, 10) then whichever number repeats itself the most is the mode.

Please Mark as Brainliest

Hope this Helps

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Explanation:

Equilibrium is reached when supply and demand are equal. So when D = S.

Let's solve for p

D = S

-14.99p+985.27 = 90.85p-6.39

-14.99p-90.85p = -6.39-985.27

-105.84p = -991.66

p = -991.66/(-105.84)

p = 9.36942554799698

p = 9.37

Don't forget to round to the nearest cent.

Answer:

530.929158457

Step-by-step explanation:

13x13= 169 x pi= 530.929158457

Answer:

14 - 3i

Step-by-step explanation:

Distribute the minus sign amongst the second equation:

(16 - 6i) - (2 - 3i) = 16 - 6i - 2 + 3i

Solve:

16 - 6i - 2 + 3i:

16 - 2 - 6i +3i

14 - 3i

Hope this helps!

Answer:

(1,-2)

Step-by-step explanation:

Choose any value for x that is in the domain to plug into the equation.

Choose 0 to substitute in for x to find the ordered pair.

(0, -19/6)

Choose 1 to substitute in for x to find the ordered pair.

Remove parentheses.

y= -19/6 + 7(1)/6

Simplify

y=2

Use the

x and y values to form the ordered pair.

(1,−2)

Given : Scale drawing of Angel's rectangular room is 5cm by 7 cm

We know that, Area of a rectangle is given by : Length × Width

⇒   Area of Angel's rectangular room = (5 cm × 7 cm) = 35 cm²

Given : The scale is 1 cm = 4 feet

⇒   Area of Angel's rectangular room in square feet = 35 × (4 feet)²

⇒   Area of Angel's rectangular room in square feet = 35 × 16 feet²

⇒   Area of Angel's rectangular room in square feet = 560 feet²

Answer:

(-3,-2)

(-3,4)

(3,4)

(3,-3)

Step-by-step explanation:

Answer:

cant see nun mind showing it

Answer: 216

Step-by-step explanation:

We have 3 sets of 6 options.

6x6x6

6x6x6=216

Step-by-step explanation:

You need to multiply the row and column to get the numbers

for example the block with row 3 column 3,the answer is 3 x 3= 9

each spinner can land on any of the points it has, thus each of the number have the same possibility.

Answer: 0.2

Step-by-step explanation:

1 divided by 5 = 0.2

Answer:

0.2

Step-by-step explanation:

1/5 = 1 divided by 5.

This will also apply to any fraction

Fraction = Numerator divided by Denominator

Answer:

18°

Step-by-step explanation:

Know that the intersection of two lines and the angles opposite each other are equal

3t+12=66

Subtract 12 from both sides

3t=54

Divide 3 from both sides

t=18

Answer:

6

Step-by-step explanation:

mean is the sum of them all followed by dividing how many there are, so 10 plus 2 plus 8 plus 9 plus 5 plus 2 plus 6 divided by 7 is 6

Step-by-step explanation:

from the solution above, the answer Is A

Answer:

[tex]f(x) = 0.80x[/tex]

Step-by-step explanation:

Given

[tex]x \to price[/tex]

[tex]discount \to 20\%[/tex]

[tex]coupon = \$50[/tex]

Required

The function f(x) if only the discount applies

20% discount implies that the price will be reduced by 20%.

So, the function is:

[tex]f(x) = Price - Price * Discount[/tex]

[tex]f(x) = x - x * 20\%[/tex]

Factorize

[tex]f(x) = x(1 - 20\%)[/tex]

Express percentage as decimal

[tex]f(x) = x(1 - 0.20)[/tex]

[tex]f(x) = x(0.80)[/tex]

[tex]f(x) = 0.80x[/tex]

Answer:

The right answer is:

(a) 0.01252

(b) 0.8882

(c) 0.9544

Step-by-step explanation:

Given:

Population proportion,

P = 0.17

Sample size,

n = 900

(a)

The standard error of proportion will be:

⇒ [tex]SE_p=\sqrt{\frac{P(1-P)}{n} }[/tex]

By putting the values, we get

           [tex]=\sqrt{\frac{0.17(1-0.17)}{900} }[/tex]

           [tex]=\sqrt{0.000158}[/tex]

           [tex]=0.01252[/tex]

(b)

We know that,

[tex]\hat{P}-P=\pm 0.02[/tex]

Now,

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

By substituting the values, we get

      [tex]=\frac{\pm 0.02}{\sqrt{\frac{0.17(1-0.17)}{900} } }[/tex]

      [tex]=\frac{\pm 0.02}{0.01252}[/tex]

      [tex]=\pm 1.59[/tex]

⇒ [tex]P(I\hat{P}-PI<0,02)=P(-1.59<z<1.59)[/tex]

                                   [tex]=1-2P(z<-1.59)[/tex]

                                   [tex]=1-2(0.0559)[/tex]

                                   [tex]=0.8882[/tex]

(c)

We know that,

[tex]\hat{P}-P=\pm 0.02[/tex]  

[tex]n = 1400[/tex]

Now,

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

By substituting the values, we get

      [tex]=\frac{\pm 0.02}{\sqrt{\frac{0.17(1-0.17)}{1400} } }[/tex]

      [tex]=\frac{\pm 0.02}{0.01}[/tex]

      [tex]=\pm 2[/tex]

⇒ [tex]P(I \hat P-PI<0.02)=P(-2<z<2)[/tex]

                                   [tex]=1-2P(z<-2)[/tex]

                                   [tex]=1-2(0.0228)[/tex]

                                   [tex]=0.9544[/tex]

Answer:

4

Step-by-step explanation:

1/2=0.5

2/0.5=1

4x1=4

Answer:

the last one

Step-by-step explanation:

there are 3 negative sings for that

Answer: they are not equivalent be 3(6x+1) is 18x+3 and 21x stays the same so there for they are not equivalent to each other

Step-by-step explanation:

Answer:

[tex]thank \: you[/tex]

Answer:

B one is your correct answer

Answer:

8 (n - 2) Frog

Step-by-step explanation:

Answer: You have the correct answer. It's choice B

Domain = [tex]\left(-\infty, \frac{2}{5}\right)[/tex]

Nice work.

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Explanation:

The domain of g(x) is found by setting 2-5x greater than or equal to 0 and solving for x. We're doing this to ensure that 2-5x is not negative.

[tex]2-5x \ge 0\\\\2 \ge 5x\\\\5x \le 2\\\\x \le \frac{2}{5}[/tex]

So we can plug in any number smaller than 2/5, or we can plug in 2/5 itself, into the g(x) function to get some output.

However, notice that if x = 2/5, then g(x) = 0. This then would feed into the f(x) function and lead to a division by zero error. Therefore, x = 2/5 must be kicked out of the domain of (f o g)(x). We keep everything else that we found earlier.

In short, the domain as an inequality is [tex]x < \frac{2}{5}[/tex], which is the same as saying [tex]-\infty < x < \frac{2}{5}[/tex] and that converts to the interval notation [tex]\left(-\infty, \frac{2}{5}\right)[/tex]

We don't use a square bracket because we don't want to include the endpoint 2/5.