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?

Answers

Answer 1

Answer:

The answer is there are six outcomes

Step-by-step explanation:

TTFF, TFTF, TFFT, FTTF, FTFT,

FFTT

Answer 2

The probability of getting outcomes including 2 true and 2 false answers is 3/8.

The given sample space is {TTTT, TTTF, TTFT, TTFF, TFTT, TFTF, TFFT, TFFF, FTTT, FTTF, FTFT, FTFF, FFTT, FFTF, FFFT, FFFF}

We need to find how many outcomes include 2 true and 2 false answers.

What is the formula to find the probability of an event?

The formula to find the probability of an event is P(E)=Number of favourable outcomes/Total number of outcomes.

Now, the number of favourable outcomes=6 and = the total number of outcomes=16.

So, P(E)=6/16=3/8

Therefore, the probability of getting outcomes including 2 true and 2 false answers is 3/8.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2


Related Questions

Find the 97th of the arithmetic sequence 25, 29, 33, ...

Answers

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

What is the value of m in mn= 12?
A) m= 12-n
B) m = 14
C) m= 12n
D) m = 12 + n

Answers

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

Word problem will mark brainly

Answers

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

Hey guys I don’t understand this one so can y’all please help me? :))))

Answers

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]

In the polyhedron above x=5 mm, y=9 mm, and z=4 mm. The volume of the polyhedron is _____ mm3. Round your answer to the tenths place.

Answers

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

Identify the angles (congruent vs supplementary

Answers

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 odds in favor of Frank McKinnis winning a hot dog eating contest are 2:7.
simple
a. Determine the probability that Frank will win the contest.
nas 0.216
b. Determine the probability that Frank will not win the contest.

a. The probability that Frank will win the contest is
b. The probability that Frank will not win the contest

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

Select all the properties of a right triangle.
A. Has a right angle
B. Has one obtuse angle
C. Has parallel lines
D. Has perpendicular lines
E. Has three acute angles

no links!! help please!!

Answers

Answer:

A. has a right angle

thats one

Answer:

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

What is the Estimate of 296.8

Answers

Answer:

The answer is 297

Let f(x) = – x-1 and g(x) = x² – 4.
Find (f o g)(3).
Then (f o g)(3) =

Answers

Answer:

answer is -6

Step-by-step explanation:

hope it helped!!!

ok so i need help and fast!!!!!

Answers

Answer:

With what?

Step-by-step explanation:

Need help with this question

Answers

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

My teacher says the answer is not 140 or 90

Answers

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.

Each scatter plot below shows the same data. Which scatter plot has the most reasonable line of best fit?​

Answers

Answer:

The second one where line go through more points

Step-by-step explanation:

the second one, the one at the bottom. because the line covers the majority of the plots on the graph

1) The endpoints of AB are A(-3, 8) and B(4,5). If AB is
dilated by a scale factor or 2, what is the slope and length
of A'B?

Answers

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

If 3=7k and 7= m/2 then mk=

Answers

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)

We are to determine mk

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

The width of a rectangle is 4 feet and the diagonal length of the rectangle is 13 feet. Which measurement is closer to the length of this rectangle in feet?
A. 12.4 ft
B 13. 6ft
C 9ft
D 17 ft
I’m not sure which answer this is

Answers

The answer you would be looking for is A.12.4 feet. You can use the equation A^2+b^2=c^2 to solve for your x being length.
Making 4^2+b^2=13^2 or
16+b=169
Take 16 from both sides
B=153 then square root both sides
B^2 or x= 12.36 or 12.4 if you choose to round up as asked in the question.
I hope this helps!

Jamie purchases a new pair of shoes for $35. She has a coupon for 15%
off the price of the shoes. What is the cost of Jamie's shoes after using
the coupon?

Answers

Answer:

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

PLEASE HELP .........!!!!!!!!!!!!!!!!!!!!!!!!’!!!!

Answers

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

PLEASE HELP ASAP!!!!!!!!!!!!!

Answers

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:

Find the following trigonometric Fourier Series:

Answers

(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.

Help me please!!!!
10. The table shows the change in your hair length over a year.
January
February
August
September
December
Month
Change in hair
length (inches)
2
-1
3
4
3
a. What is the total change in your hair length at the end of the year?
b. Is your hair longer in January or December? Explain your reasoning.
c. When is your hair the longest? Explain your reasoning.

Answers

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

Assume that 3-month Treasury bills totaling $12 billion were sold in $10,000 denominations at a discount rate of 3.605%

In addition, the Treasury Department sold 6 month bills totaling $10 billion dollars at a discount rate of 3.55%.

What is the discount amount for the three-month bills?

What is the discount amount for the six-month bills?​

Answers

Answer: 55,000,000

this might not be right but hear

Write an equation of the line that passes through the pair of points. (-2, -3), (4,5)

Answers

Answer:

y=4/3x-1/3

Step-by-step explanation:

Connor wants to solve the equation 4" = 26. How could he use graphs to solve this
equation?
Drag statements into order to complete an explanation.

Answers

Answer:

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

Step-by-step explanation:

do you add or multiply when you do area ​

Answers

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)

Which is the distance between the point with the coordinates (-2, 3) and the line with the equation 6x - y = -3?
37
C. 637
a.
37
37
b. 337
d. 1237
37
37
Please select the best answer from the choices provided
ОООО
Oo

Answers

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

Alex and Tim are going to race. Tim gives Alex a 50 meter head start. Alex
walks 2 meters per second. Tim walks 4 meters per second. When will the
two tie?

Answers

Tim’s total distance must be 4x, and Alex’ must be 2x + 50

2x + 50 = 4x

50 = 2x

x = 25

25 seconds!

Could you mark me as the brainliest, please? ;)

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.

What is the solution to the equation Vn= 3n-3+1?
On=-4, n = -1
O n=-1
n=1
n= 1, n = 4

Answers

Answer:

C

Step-by-step explanation:

1. Solve: 9^2x + 1 = 9^3x – 2
x = ?

2. Solve: 18^x^2 4x+4
A. x=-2
B. x=7
C. x=-2 and x=7
D. no solution

Answers

<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

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