A five question multiple choice test has 4 choices for each question and only 1 correct answer each. What is the probability of guessing at least 3 out of the 5 questions correctly?

Answers

Answer 1

Answer:

Prob = 13/1024 = 0.0127

Step-by-step explanation:

Prob {A correct answer} = Correct option / Total options = 1/4

Prob {A wrong answer} = Wrong options / Total options = 3/4

Prob [3 answers correct] = P (3 correct ,& 2 wrong) or P (4 correct ,& 1 wrong) or P (5 correct, & no wrong)

= [ (1/4) x (1/4) x (1/4) x (3/4) x (3/4) ]  +  [ (1/4) x (1/4) x (1/4) x (1/4) x (3/4) ] + [ (1/4) x (1/4) x (1/4) x (1/4) x (1/4) ]

( 9/1024 ) + ( 3/1024 ) + ( 1/1024 )

13/1024 = 0.0127


Related Questions

Find the area of a square

Answers

Answer:

Step-by-step explanation:

area =l^2

=7^2

=49 km^2

help pls i need help on this last math area equation. and explain also.

Answers

Answer:

c

Step-by-step explanation:c

The answer is C)48 square cm , because to find the area of 1 rectangle you have to first multiply 5x2=10 which there are 4 rectangles so you multiply 10 by 4 which gives you 40, next you look at the small squares the lines show that the each side equivalent so to find the area you do 2x2 which gives you 4 and if you have 2 squares it will give you 8 then you add that to the 40 from the rectangles which gives you 48. I hope this helped :))

Based on a $400 loan amount, rank the following companies from the lowest to highest annual percentage rate (APR)

Answers

Answer:

Step-by-step explanation:

A = 40* (365/5)= 29.2%

B = 50*(365/12) = 15.2%

C= 80*(365/15)=19.46%

D = 100*(365/20)=18.25%

so best is B,  then D , then C then A .  

B,D,C,A   in lowest to highest APR

As per the given data, with a base of $400 for loan amount, the ranking of all the given companies from the lowest to highest annual percentage rate is B,D,C, and A.

What is the annual percentage rate?

Annual borrowing costs, including fees, are stated as a percentage and are known as the annual percentage rate, or APR. The APR is a more comprehensive indicator of how much borrowing money will cost because it includes both interest rates and application fees.

Instead of just a monthly fee or rate, the term annual percentage rate of charge refers to the interest rate for the entire year as applied to a loan, home loan, credit card, and many more. It can also be referred to as a nominal APR or an effective APR. It is a financial fee that is calculated at an annual rate.

Required calculations are as follow:

A = 40 × (365/5)= 29.2%

B = 50 × (365/12) = 15.2%

C= 80 × (365/15)=19.46%

D = 100 × (365/20)=18.25%

Therefore, the ranking of all the companies  with the lowest to highest annual percentage rate are B,D,C, and A.

Learn more about annual percentage rate from here:

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volume of composite figures

Answers

✍️Answer:

The volume of the figure is 381 cubic in✄ ---------------[tex]v=L*W*H[/tex][tex]v=(16)(7)(3)+1/2(3)(5)(6)[/tex][tex]v=336+45[/tex][tex]v=381 in^3[/tex]

✮✮✮✮✮✮✮✮✮

hope it helps...

have a great day!!

plz help me i will give 50 points,

Answers

159,159,159,160,161,162,166,167,168,192

a rectangle has a lenght of 8cm. its area is 72 cm squared. calculate the perimeter of the rectangle​

Answers

answer is 576 is your answer

radio station KLUV broadcasts in all directions to a distance of 50 mi. How many square miles are in the stations broadcast area?

Answers

Answer:

7850 mi

Step-by-step explanation:

Area of a circle is:

A = (pi)r²

A = (3.14) (50²)

A = (3.14) (2500)

A = 7850 square miles

Tenzing sold two watches at rs1200 andrs1350 respectively if he gained 20 percent on the first and 2percent on the whole what percent did he loss in second watch

Answers

9514 1404 393

Answer:

  10% loss

Step-by-step explanation:

If Tenzing sold the first watch at 20% profit, his cost c can be found from ...

  1200 = 1.20c

  1000 = c

If Tenzing sold both watches together for 1200 +1350 = 2550, then his total cost can be found from ...

  2550 = 1.02t

  t = 2550/1.02 = 2500

Then his cost for the second watch was ...

  2500 -1000 = 1500

The sale price of 1350 for that watch represents a multiplier m on the watch cost of ...

  1500m = 1350

  m = 1350/1500 = 0.90 = 1 - 0.10

Tenzing lost 10% of its cost on the second watch.

Need help ASAP! Will give brainliest;) No links please, will report.

The area of a triangle is 55x^3+15x^2-25. The length of the triangle is 5x. What is the width?

Answers

Answer:

The area of a triangle =55x^3+15x^2-25

1/2×length×width=55x^3+15x^2-25

5x/2×width=55x^3+15x^2-25

width=[55x^3+15x^2-25]×2/5x

width=22x²+6x-10/x is your answer

The radius of a circle is 12 centimeters. Calculate the area of the circle?​

Answers

Answer:

A≈452.39cm²

Step-by-step explanation:

Solution

A=πr2=π·122≈452.38934cm²

Answer:

452.389

Step-by-step explanation:

hope this help

Dan invests £1500 into his bank account.
He receives 3% per year simple interest.
How much will Dan have after 2 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

£1,725.00

Step-by-step explanation:

To calculate simple interest, we use the formula:

a = p(1 + rt)

a is the answer

p is the principle, or the starting amount of money

r is the rate, or the rate of interest (the percent)

and t is the time, or years.

First, 3% as a decimal is 0.03

So we can plug that in as r.

Then just plug the rest of the numbers in.

a = 1500(1 + 0.03 x 2)

Then just solve the equation to get 1,725.00.

Hope this helps!

2. Desarrolla el cuadrado de los siguientes binomios. a) (2 + 5√) 2 = b) (√3 − √5) 2 = c) (√ + 3 − √ − 3) 2 =

Answers

Answer:

Cuando tenemos un binomio como:

(a + b)^2

El desarrollo es:

a^2 + 2*a*b + b^2

Si en cambio, el binomio es de la forma:

(a - b)^2

El desarrollo es:

a^2 - 2*a*b + b^2

Ahora simplemente usemos esas formulas en cada caso:

a) (2 + 5√)^2

(hay una raiz cuadrada ahi que no aplica a nada, asi que supongo que es un error de tipeo)

entonces tenemos que expandir:

(2 + 5)^2 = 2^2 + 2*(2)*(5) + 5^2 = 4 + 20 + 25 = 49

b) (√3 − √5)^2  

= (√3)^2 - 2*(√3)*(√5) + (√5)^2

= 3 - 2*√(3*5) + 5

= 3 - 2*√15 + 5

= 8 - 2*√15

c) (√( + 3) − √( − 3))^2

Acá hago el reemplazo:

√(-3) = i*√3

Recordar que i^2 = -1

Entonces tendremos:

(√( + 3) − √( − 3))^2 =  (√(  3) − i√( 3))^2

= (√3)^2 - 2*i* (√3)(√3) + (i* (√3))^2

=   3 - 2*3*i  + (i^2*3)

= 3 - 6*i - 3

= - 6i


Find the length of the segment that joins the points (4, -2) and (1, -3).
Answer: square root of __

Answers

Answer:

Your answer would be √10, or square root of 10.

please help!! i really need to answer this so i pass!

Answers

Answer:

450 LITERS

(Answer may not be correct, to solve for the right answer see below)

Step-by-step explanation:

(Convert 450 LITERS to meters to find the answer the question is asking)

1.2 m x 0.5 m x 3/4 m =

1. Convert the 3/4 meters into a decimal, you can use an online calculator for that part

2. 3/4 = ______

______ m x 1.2 m x 0.5 m = (ANSWER)

PLS ANSWER PHOTO ATTACHED

Answers

Answer:

its 12

Step-by-step explanation:

The answer would be 12

Ms. Salgado needs to have her car repaired but does not want to spend more than $375 for the repairs. The mechanic says that the part needed for the repair will cost $100 and the labor will cost an additional $40 per hour. Which inequality below represents the greatest number of hours the mechanic can work without exceeding Ms. Salgado's budget?

Answers

Answer:

The mechanic will need to finish in 4 hours.

Step-by-step explanation:

100+40=140

40+40=80

40+40=80

40

140 +80 + 80+ 40= 340

What is the term of the highest degree in the expression 3x2y-5xy7+8x4y5-6xy

Answers

Answer:

seems hard

Step-by-step explanation:

YEEEEET IT AWAY

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror
sells for $5.00 per square foot, what will the total cost of the mirror be?

Answers

Question :-

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?

____________________

Solution :-

Given Information :-

Length of the mirror Austen needs to buy ➢ 3 ftWidth of the mirror Austen needs to buy ➢ 2 ftCost of mirror per square foot ➢ $5.00

To Find :-

Total cost of the mirror Austen needs to buy.

Formula Used :-

Area of Mirror = Length × Width Total cost of mirror = Area of mirror × Cost of mirror per square foot

Calculation :-

Area of mirror :-

Substituting the values given in the 1st formula, We get,

⇒ Area of mirror = ( 3 × 2 ) ft²

Area of mirror = 6 ft²

Now finding the total cost of mirror,

Substituting the values calculated above in the 2nd formula, We get

⇒ Total Cost of mirror = $ ( 6 × 5.00 )

Total Cost of mirror = $30

___________________

Final Answer :-

Total cost of the mirror Austen needs to buy will be $30

____________________

please help me
i wanna sleep :(​

Answers

Answer:

what langue is that

Step-by-step explanation:

What’s the answer
Need help don’t get it give u 100 bucks

Answers

Answer:

complementary

Step-by-step explanation:

because if r=s and the angles dont have a 90 degree angle it would be complement  

What value of X makes equation below true 2x + 9 = 4x - 1

Answers

Answer:

5

Step-by-step explanation:

Answer:

5 IS THE RIGHT VALUE THAT MAKES THE GIVEN EQUATION TRUE...

Step-by-step explanation:

2x+9=4x-1

9+1=4x-2x

10=2x

10/2=x

5=X

HELP ASAP! GIVING BRAINLY IF CORRECT

Container A is a cylinder with a radius of 9 units and a height of 9 units. A right cone has been carved from its base and has a height of 9 units. Container B has the same radius as container A. Which statement derives the formula to find the volume of container A?

container A is a right cylinder that has had a right cone subtracted from its base, container B is half of a sphere

π(92)(9) − 1 over 3π(92)(9)
2[π(92)(9) − 1 over 3π(92)(9)]
1 over 3π(92)(9) − π(92)(9)
2[1 over 3π(92)(9) − π(92)(9)]

Answers

Answer:

a. π(92)(9) − 1 over 3π(92)(9)

Step-by-step explanation:

Solution given: For A

height =9units

breadth =9units

for both cylinder and cone

Volume of container A=volume of cylinder -volume of cone

=πr²h-1/3×πr²h=π(9²)9-1/3×(9²)9

so your final answer is A

a. π(92)(9) − 1 over 3π(92)(9)

The volume of the container A and container B will be π(9²)9 – (1/3)π (9²)h. Then the correct option is A.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Container A is a cylinder with a radius of 9 units and a height of 9 units. A right cone has been carved from its base and has a height of 9 units.

Then the volume of the container A will be given as

Volume of A = Volume of cylinder – volume of cone

Volume of A = πr²h – (1/3)πr²h

Volume of A = π(9²)9 – (1/3)π (9²)h

Volume of A = (2/3) π(9)³

Container B has the same radius as container A.

Volume of B = (4/6) πr³

Volume of B = (2/3) π(9)³

Then the correct option is A.

More about the geometry link is given below.

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If any of you are good with math and Science especially algebra can you PLEASE HELP ME ​

Answers

Answer:

ok what do i do 1st

Step-by-step explanation:

Answer:

how can i help?

Step-by-step explanation:

I need & answer ASAP due in 10 minutes :,)
Pls and thank you but make sure to include a explanation & No Links pls & thxs again

Answers

Answer:

84 m³

Step-by-step explanation:

Area of base: 1/2 × 6 × 4= 1/2 ×24 = 12

Volume: area of base × height = 12 × 7= 84 m³

There are seven quarters in the bottom of a tote bag. Three of those quarters were minted in 2019, two were minted in 2001, and two were minted in 2008. What is the probability of selecting two quarters that were both minted in years other than 2019 if the first was not replaced before the second was selected?

Answers

Answer:

[tex]P(Not\ 2019) = \frac{2}{7}[/tex]

Step-by-step explanation:

Given

[tex]n(2019)= 3[/tex]

[tex]n(2001)= 2\\[/tex]

[tex]n(2008)= 2[/tex]

[tex]n = 7[/tex] --- total

Required

[tex]P(Not\ 2019)[/tex]

When two quarters not minted in 2019 are selected, the sample space is:

[tex]S = \{(2001,2001),(2001,2008),(2008,2001),(2008,2008)\}[/tex]

So, the probability is:

[tex]P(Not\ 2019) = P(2001,2001)\ or\ P(2001,2008)\ or\ P(2008,2001)\ or\ P(2008,2008)[/tex]

[tex]P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)[/tex]

[tex]P(2001,2001) = P(2001) * P(2001)[/tex]

Since it is a selection without replacement, we have:

[tex]P(2001,2001) = \frac{n(2001)}{n} * \frac{n(2001)-1}{n - 1}[/tex]

[tex]P(2001,2001) = \frac{2}{7} * \frac{2-1}{7 - 1}[/tex]

[tex]P(2001,2001) = \frac{2}{7} * \frac{1}{6}[/tex]

[tex]P(2001,2001) = \frac{1}{7} * \frac{1}{3}[/tex]

[tex]P(2001,2001) = \frac{1}{21}[/tex]

[tex]P(2001,2008) = P(2001) * P(2008)[/tex]

Since it is a selection without replacement, we have:

[tex]P(2001,2008) = \frac{n(2001)}{n} * \frac{n(2008)}{n - 1}[/tex]

[tex]P(2001,2008) = \frac{2}{7} * \frac{2}{7 - 1}[/tex]

[tex]P(2001,2008) = \frac{2}{7} * \frac{2}{6}[/tex]

[tex]P(2001,2008) = \frac{2}{7} * \frac{1}{3}[/tex]

[tex]P(2001,2008) = \frac{2}{21}[/tex]

[tex]P(2008,2001) = P(2008) * P(2001)[/tex]

Since it is a selection without replacement, we have:

[tex]P(2008,2001) = \frac{n(2008)}{n} * \frac{n(2001)}{n - 1}[/tex]

[tex]P(2008,2001) = \frac{2}{7} * \frac{2}{7 - 1}[/tex]

[tex]P(2008,2001) = \frac{2}{7} * \frac{2}{6}[/tex]

[tex]P(2008,2001) = \frac{2}{7} * \frac{1}{3}[/tex]

[tex]P(2008,2001) = \frac{2}{21}[/tex]

[tex]P(2008,2008) = P(2008) * P(2008)[/tex]

Since it is a selection without replacement, we have:

[tex]P(2008,2008) = \frac{n(2008)}{n} * \frac{n(2008)-1}{n - 1}[/tex]

[tex]P(2008,2008) = \frac{2}{7} * \frac{2-1}{7 - 1}[/tex]

[tex]P(2008,2008) = \frac{2}{7} * \frac{1}{6}[/tex]

[tex]P(2008,2008) = \frac{1}{7} * \frac{1}{3}[/tex]

[tex]P(2008,2008) = \frac{1}{21}[/tex]

So:

[tex]P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)[/tex]

[tex]P(Not\ 2019) = \frac{1}{21} + \frac{2}{21} +\frac{2}{21} +\frac{1}{21}[/tex]

Take LCM

[tex]P(Not\ 2019) = \frac{1+2+2+1}{21}[/tex]

[tex]P(Not\ 2019) = \frac{6}{21}[/tex]

Simplify

[tex]P(Not\ 2019) = \frac{2}{7}[/tex]

5.6x+0.05-2.4k+5.9
please solve quickly I need help!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

5.6x+5.95-2.4k if that's what you need

The answer the other person gave was already simplified so you already have the answer. If you need to show your work here you go. I hope this help :)

what are the outliers for 0,5,6,7,8,13

Answers

Given:

The date set is:

0,5,6,7,8,13

To find:

The outliers for the given data set.

Solution:

We have,

0,5,6,7,8,13

Divide the data in two equal parts.

(0,5,6),(7,8,13)

Divide each parenthesis in two equal parts.

(0),5,(6),(7),8,(13)

Here, first quartile is [tex]Q_1=5[/tex] and the third quartile is [tex]Q_3=8[/tex].

The interquartile range (IQR) is:

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=8-5[/tex]

[tex]IQR=3[/tex]

The data lie outside the range [tex][Q_1-1.5IQR,Q_3+1.5IQR][/tex] is called outliers.

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[5-1.5(3),8+1.5(3)][/tex]

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[5-4.5,8+4.5][/tex]

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[0.5,12.5][/tex]

The data values 0 and 13 lie outside the range [0.5,12.5].

Therefore, 0 and 13 are outliers of the given data set.

GIVING BRAINLIEST!!!!

Select the properties that both rectangles and parallelograms always share (u can select more than one answer)

A) four sides of equal length

B) 4 right angles

C) 2 pairs of parallel sides

D) 2 pairs of sides with equal length

E) 2 acute angles and 2 obtuse angles

Answers

C and D.

Parallelograms don’t need to have right angles
Rectangles don’t always have equal sides
Rectangles have all 90 degree angles

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

x = 97.6

Step-by-step explanation:

cos = adjacent over hypotenuse

[tex]cos(55)=\frac{56}{x}[/tex]

* multiply each side by x *

[tex]cos(55)*x=xcos(55)\\\frac{56}{x} *x=56\\56=xcos(55)[/tex]

* divide each side by cos ( 55 ) *

[tex]\frac{xcos(55)}{cos(55)} =x\\\frac{56}{cos(55)} =97.63302055[/tex]

we're left with x = 97.63302055

Our last step is to round to the nearest tenth of a foot

We get that x = 97.6

find the solution of given expression !!

[tex] \sqrt{36 \times 4} [/tex]

Answers

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

Let's Solve :

[tex] \sqrt{36 \times 4} [/tex]

[tex] \sqrt{2 \times 2 \times 3 \times 3 \times 2 \times 2} [/tex]

[tex]2 \times 3 \times 2[/tex]

[tex]12[/tex]

Therefore, the correct answer is 12

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

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