A social studies quiz has 4 true-or-false questions. The following list shows the possibilities for a student's responses to these questions. TTTT, TTTF, TTFT, TTFF, TFTT, TFTF, TFFT, TFFF, FTTT, FTTF, FTFT, FTFF, FFTT, FFTF, FFFT, FFFF How many outcomes include 2 true and 2 false answers?

Answer:

the probability of winning & not winning the contest is 2 ÷ 9 and 7 ÷ 9 respectively

Step-by-step explanation:

The computation is shown below

a. The probability of Frank win the contest is

= 2 ÷ 2 + 7

= 2 ÷ 9

b. The probability of Frank that not win the contest is  

= 1  - 2 ÷ 9

= 7 ÷ 9

hence, the probability of winning & not winning the contest is 2 ÷ 9 and 7 ÷ 9 respectively

The same would be relevant

Answer:

After 3 min

Step-by-step explanation:

So becuase Tim is walking and Tim gave Alex a 50 meter head start so after 3 min they will tie each other.

Answer:

3 + 8 times 3 +27 times 3 + 64 times 3+ 125 times 3  + 216 times 3+ 343 times 3

2352 cubic units^3

Step-by-step explanation:

Answer:

either one will work.  

you can either multiply length times width or you can add all the sides together.

Step-by-step explanation:

hope this helps

have a good day

Answer:

mulitpy

Step-by-step explanation:

area= L x W

(Length x Width = Area)

Answer:

The second one where line go through more points

Step-by-step explanation:

Answer:

Ewan di ko alam e sorry I didn't understand e

Answer:

3

December. total change in December is greater than change in January. 3 is greater than 2

August. the total change in hair growth is 4.

Step-by-step explanation:

total change in hair length = 2 - 1 + 3 - 4 + 3 = 3

My hair is longer in January .

total change in hair length in February = 2 -1 =  1

total change in hair length in August  = 1 + 3 = 4

total change in hair length in September = 4  - 4 = 0

total change in hair length in December = 0 + 3 = 3

My hair is the longest in August because that is the month that has the highest change in hair length

Answer: There is no choice available for the answer.

Step-by-step explanation:

The question is asking for the value of m in terms of n, so we need to isolate m to one side.

Given

mn=12

Divide n on both sides

mn/n=12/n

m=12/n

Hope this helps!! :)

Please let me know if you have any questions

Answer:

180 mm³

Step-by-step explanation:

The polyhedron is an oblique rectangular prism

Area of the oblique rectangular prism = base area * height

height = z = 4 mm

Base area = L*W

L = y = 9 mm

W = x = 5 mm

Base area = 9*5 = 45 mm²

Area of the oblique rectangular prism = 45*4 = 180 mm³

(a) Extend the definition of f(x) to make it an even function f*(x),

[tex]f^*(x)=\begin{cases}0&\text{if }-2\le x<-1\\1&\text{if }0\le x\le1\\0&\text{if }1<x\le2\end{cases}[/tex]

and we take f* to be periodic over an interval of length P = 4. We compute the coefficients of the cosine series:

[tex]a_n = \displaystyle\frac2P \int_{-2}^2 f^*(x)\cos\left(\frac{2n\pi}Px\right)\,\mathrm dx = \frac{2\sin\left(\frac{n\pi}2\right)}{n\pi}[/tex]

Note that a₀ = 1 (you can compute the integral again without the cosine, or just take the limit as n -> 0). For all other even integers n, the numerator vanishes, so we split off the odd case for n = 2k - 1 :

[tex]a_{2k-1} = \dfrac{2\sin\left(\frac{(2k-1)\pi}2\right)}{(2k-1)\pi}[/tex]

Then the cosine series of f(x) is

[tex]\displaystyle \frac{a_0}2 + \sum_{k=1}^\infty a_{2k-1}\cos\left(\frac{(2k-1)\pi}2x\right)[/tex]

(b) For the sine series, you instead extend f(x) to an odd function f*(x),

[tex]f^*(x)=\begin{cases}-1&\text{if }-2\le x\le-1\\x&\text{if }-1<x<1\\1&\text{if }1\le x\le2\end{cases}[/tex]

Again, P = 4, and the coefficient of the sine series are given by

[tex]b_n = \displaystyle\frac2P\int_{-2}^2f^*(x)\sin\left(\frac{2n\pi}Px\right)\,\mathrm dx[/tex]

which we can again split into the even/odd cases,

[tex]b_{2k} = -\dfrac1{k\pi}[/tex]

[tex]b_{2k-1} = \dfrac{4(-1)^{k+1}+2(2k-1)\pi}{(2k-1)^2\pi^2}[/tex]

So the sine series is

[tex]\displaystyle \sum_{k=1}^\infty\left(b_{2k}\sin\left(k\pi x\right) + b_{2k-1}\sin\left(\frac{(2k-1)\pi}2x\right)\right)[/tex]

I've attached plots of the extended versions of f(x) along with the corresponding series up to degree 4.

Answer:

A) Replace L with the length of the skid mark:

Speed = √(20(208))

Speed= √(4160)

Speed = 64.5 miles per hour

B) set the equation to the speed and solve for L:

47 = sqrt(20L)

Square both sides:

2209 = 20L

Divide both sides by 20:

L = 110.5 feet

Answer:

B. 45

Step-by-step explanation:

we know the sum of both angles is 90 because of the small sqaure in the corner.

90 = 2x+20

70 = 2x

45 = x

Answer:

35

Step-by-step explanation:

Because of the box in the graph, you can tell that this is a 90-degree angle

2x means the next angle will be twice of the answer choice number

because the end product must be 70 the answer must be 35

35 x 2 = 70

Answer:

Step-by-step explanation:

3=7k

Meaning k = 3/7

7=m/2

Meaning m = 7*2 = 14

Therefore mk = 3/7*14 = 6

The product of m and k i.e. mk is 6.

Algebraic terms usually consist of two or more variables with their arithmetic operations.

From the parameters given:

3 = 7k     ---- (1)

7 = m/2   ---- (2)

From equation (1), let's make (k) the subject, we have:

k = 3/7

From  equation (2), let's make (m) the subject, we have:

m = 7 × 2

m = 14

The product of m and k which is mk will now be:

= 14 × 3/7

= 2 × 3

= 6

Learn more about algebraic terms here:

https://brainly.com/question/1451099

Answer:

150

Step-by-step explanation:

Area of A:

A = bh

A = 10(10)

A = 100

Area of B:

A = 1/2bh

A = 1/2(10)(10)

A = 5(10)

A = 50

Combined:

100 + 50

150

Answer:

150

Step-by-step explanation:

My math genius friend told meh the answer bc I'm not smart at math.

Answer:

With what?

Step-by-step explanation:

Answer:

11) c = 16.1

12) c = 11.4

Step-by-step explanation:

11)

a² + b² = c²

8² + 14² = c²

64 + 196 = c²

c² = 260

[tex]\sqrt{c^2} =\sqrt{260}[/tex]

c = 16.1

12)

a² + b² = c²

7² + 9² = c²

49 + 81 = c²

c² = 130

[tex]\sqrt{c^2} =\sqrt{130}[/tex]

c = 11.4

• Question 1 :-

We see that in a right angled triangle two sides are 8cm and 14cm . We can find the third side using Pythagoras Theorem .

[tex]\tt \to Hypotenuse^2 = Perpendicular^2+Base^2\\\\\tt \to h^2 = (8)^2+(14) \\\\\to \tt h^2 = 64 + 196 \\\\\tt \to h^2 = 260 \\\\\tt \to h=\sqrt{260} \\\\\tt \to \boxed{\orange{\tt h = 16.12 }}[/tex]

____________________________

• Question 2 :-

[tex]\tt \to Hypotenuse^2 = Perpendicular^2+Base^2\\\\\tt \to h^2 = (9)^2+(7)^2 \\\\\to\tt h^2 = 81 + 49 \\\\\tt \to h^2 = 130 \\\\\tt \to h=\sqrt{130} \\\\\tt \to \boxed{\orange{\tt h = 11.40}}[/tex]

Answer:

y=4/3x-1/3

Step-by-step explanation:

Answer: 55,000,000

this might not be right but hear

Answer:

answer is -6

Step-by-step explanation:

hope it helped!!!

Answer:

434

Step-by-step explanation:

hello :

note :    the n th term of an arithmetic sequence is :

An =A1+(n-1)d   ....a common difference is : d  and A1 the first term

in this exercice :   d = 33-29 =29-25= 4        A1 =  25

when : n =97 you have the  97rd term  A97

so : A97 =25 +(97-1)(4)

A97 = 434

Answer:

d. 12√37 / 37

Step-by-step explanation:

standard formula for the distance between a point (x₀,y₀) and a line ax+by+c=0 is |a*x₀ + b*y₀ + c| / √a²+b²

(x₀,y₀) : (-2 , 3)

ax+by+c=0 : 6x - y +3 = 0

x₀ = -2      y₀ = 3     a = 6       b = -1        c = 3

d = | 6*(-2) + (-1)*3 + 3 | / √6²+(-1)²

d = 12 / √37 = 12√37 / 37

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<33<3<3<3

Answer:

C. x=-2 and x=7

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<33<3<3<3

Answer:

C

Step-by-step explanation:

Answer:

Angles 1 & 2 = supplementary

Angles 1 & 3 = supplementary

Angles 1 & 4 = congruent

Angles 1 & 5 = congruent

Angles 1 & 6 = supplementary

Angles 1 & 7 = supplementary

Angles 1 & 8 = congruent

The original length of AB is 7.62. If we dilate it with the scale factor 2, the length will be 15.23.

The slope of the line remains the same even if we dilate it, so it will remain 0.43.

(y2-y1/x2-x1)

Explanation: The answers are taken from by solving on the graph

Answer:

graph the curve that models the expression is the first on, I don’t know the rest

Step-by-step explanation:

Answer:

The answer is 297

Answer:

A. has a right angle

thats one

Answer:

I think it is A and D. Not 100% sure tho.

It goes in the order 3,1,2,4