on an eight-question true-false quiz, a student guesses each answer. What is the proability that the student gets at least one of the answers correct

Answers

Answer 1

Answer:

0.9961

Step-by-step explanation:

Number of options per question = 2

P(success), p = 0.5

q = 1 - p = 0.5

Number of trials, n = 8

P(x ≥ 1) = p(x= 1) + p(x=2) +... + p(x = 8)

P(x = x) = nCx * p^x * q^(n-x)

Using a calculator to save computation time :

p(x ≥ 8) = 0.9961


Related Questions

PLEASE HELP ASAP PLSSSSS !!!!!!!

Answers

Answer:

27°

Step-by-step explanation:

angle A + angle B + angle C=180 degree (sum of interior angles of a triangle )

angle A +90 + 63 =180

angle A +153 = 180

angle A =180 - 153

angle A =27 degree

Answer:

<A=27°

Step-by-step explanation:

D=63°

B= 90°

Angles in a triangle adds up to 180°

Therefore A= 180- (63+90)

=180 - 153

=27

x ^2+3x+2


I need help with this asap thank you!!!!!!!!!

Answers

Answer:

(x+1) (x+2)

Step-by-step explanation:

I this is it? If you meant x to the second power than I think this is the answer

Find an equation for the line with the given properties. Express your answer using the general form or the slope-intercept form of the equation of a line.

Slope=-3; containing the point (2,-2)

the equation is

Answers

Answer:

[tex]y=-3x+4[/tex]

Step-by-step explanation:

To get the equation in the slope-intercept form first, put the equation in slope-point form using the information given. The slope-point form is [tex]y-(-2)=-3(x-2)[/tex]. Then solve for y.

Distribute -3 to [tex](x-2)[/tex],

[tex]y-(-2)=-3x+6[/tex]

Then, add -2 to both sides,

[tex]y=-3x+4[/tex]

This is your final answer; the slope is -3 and the y-intercept is 4. There are also a few other ways to solve but I find this the easiest.

The sum of two consecutive integers is −45. Find the Integers.

Answers

Answer:

-22 and -23

hope this helped :D

Answer:

- 23 & - 22

Step-by-step explanation:

Let one integer be x, so the other integer is x + 1

x + x + 1 = - 45

2x + 1 = - 45

2x = - 46

x = - 23

The integers are - 23 and - 22.

Find Y.
Round to the nearest tenth.
Z
90 ft
55 ft
X
50 ft
Y
Y= [? ]°
Law of Cosines: c2 = a2 + b2 – 2ab cos C

Answers

Answer:

∠ Y ≈ 32.7°

Step-by-step explanation:

Using the law of Cosines

cosY = [tex]\frac{x^2+z^2-y^2}{2xz}[/tex]

with x = 90, y = 55, z = 50

cosY = [tex]\frac{90^2+50^2-55^2}{2(90)(50)}[/tex] = [tex]\frac{8100+2500-3025}{9000}[/tex] = [tex]\frac{7575}{9000}[/tex] , then

∠ Y = [tex]cos^{-1}[/tex] ([tex]\frac{7575}{9000}[/tex] ) ≈ 32.7° ( to the nearest tenth )

Solve the following simultaneous equations 5x+2y= -15
x+2y=5

Answers

Answer:

(x, y) = (-5, 5)

Answer:

Step-by-step explanation:

5x+2y=-15

Step 1: Add -2y to both sides.

5x+2y+−2y=−15+−2y

5x=−2y−15

Step 2: Divide both sides by 5

[tex]\frac{5x}{5}[/tex]=[tex]\frac{-2y-15}{5}[/tex]

x=[tex]\frac{-2-15}{5}[/tex]

x+2y=5

Step 1: Add -x to both sides.

x+2y+−x=5+−x

2y=−x+5

Step 2: Divide both sides by 2.

[tex]\frac{2y}{2}[/tex]=[tex]\frac{-x+5}{2}[/tex]

y=[tex]\frac{-x+5}{2}[/tex]

Ravin is g years old and Eva is 2 years younger than Ravin.
What is the sum of their ages in terms of g?


What is the sum of their ages after g more years, in terms of g?

Answers

(gx2)-2

Hope this helps! :)

______________

Eva is 2 years younger than Ravin, so her age will be= g-2 years old

The sum of their ages will be = g + (g-2)
= 2g -2

After g more years,
Ravin will be = g + g = 2g years old
Eva is still 2 years younger, so she will be = 2g - 2 years old.

The new sum of their ages will be
= 2g + (2g - 2) = 4g - 2 years

Under the translation (X +3, y - 1) the point (3,4) will become (0.5)

True or False

Answers

9514 1404 393

Answer:

  False

Step-by-step explanation:

Point (3, 4) will become (3+3, 4-1) = (6, 3), not (0, 5). The statement is False.

_____

Additional comment

The point (0, 5) would be translated to (3, 4). That is not what the question is asking.

jabu invests R5600 for one year at 8% interest. calculate the value of hus investment by the end of the year

Answers

Answer:

Hope you find it helpful

What is the remainder of 26 divided by 53.3
WILL GIVE BRAINLIEST

Answers

Answer:

0.48780487804

Based on the areas of the squares, determine whether the triangle shown is a right triangle.

Answers

It is not a right triangle

Explanation:
Pythagorean Theorem ONLY for right triangles: a^2+b^2=c^2
If a^2=58 and b^2=10
Then 58+10 does not equal 64

The given triangle is not a right-angle triangle as the sides don't form a Pythagorean triplet.

What is the Pythagoras theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the le right triangle is equal to the square on the hypotenuse (the Pythagoras the right angle)—or, in familiar algebraic notation, a² + b² = c².

Given her:  Three squares whose sides form one Pythagoreans of a triangle .

Now a²=58

b²=10

b=√10

c²=64

c=8

Clearly √10<√58<8

Thus c must be the hypotenuse of the triangle.

Using Pythagoras' theorem we get

√10²+√58²=68≠64

Hence, The given triangle is not a right angle triangle as the sides don't form a Pythagorean triplet.

Learn more about the Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ2

what is the solution of the equation 3x=12 round your answer to the nearest ten thousandth

Answers

Answer:

2.2916

Step-by-step explanation:

Imagine bannanas flying into your room? I mean I couldn't imagine that either but im just saying

Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

Answers

Answer:

Option B. 489.8 ft²

Step-by-step explanation:

From the question given above, the following data were obtained:

Height (h) = 13 ft

Radius (r) = 6 ft

Pi (π) = 3.14

Lateral surface area (Aₗ) =?

The lateral surface area of the cylinder can be obtained as follow:

Aₗ = 2πrh

Aₗ = 2 × 3.14 × 6 × 13

Aₗ = 489.8 ft²

Therefore, the lateral surface area of the cylinder is 489.8 ft²


Given the image below, find the area of the regular polygon. The Perimeter of the
decagon is 80 in.
12.3 in.

Answers

Answer:

try 492.43, this should be correct if I did this right

1. The cardboard costs 0.002 cents per square mm but glue for each box is also 1 cent per box

2. The plastic costs 0.003 cents per square mm. No glue is necessary. It’s sealed by heat.

Which packaging costs less money?

Answers

#2 costs less money.

Need help before 7:00

Answers

Answer:

Area of circle = 465.82 cm²

Step-by-step explanation:

Given the following data;

Circumference of the hub cap = 76.49 cm

Pie, π = 3.14

To find the area of the hub cap;

First of all, we would determine the radius of the hub cap.

Mathematically, circumfeence of a circle is equal to;

C = 2πr

Where:

C is the circumference of a circle.

r is the radius of a circle.

C = 2πr

76.49 = 2 * 3.14 * r

76.49 = 6.28r

Radius, r = 76.49/6.28

Radius, r = 12.18 cm

Next, we find the area of the hub cap;

Area of circle = πr²

Area of circle = 3.14 * 12.18²

Area of circle = 3.14 * 148.35

Area of circle = 465.82 cm²

However, if the circumference of the hub cap were smaller, the area of the hub cap would also be smaller. Thus, the circumference of a hub cap is directly proportional to the area of a hub cap.

PLEASE HELP ASAP !!! WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORRECTLY

Answers

Answer:

See below.

Step-by-step explanation:

Alternate Interior Angles - 1

Alternate Exterior Angles - 2

Corresponding Angles - 4

Same-side Exterior Angles - 5

Same-side Interior Angles - 3

Answer:38292

A

Step-by-step explanation:w

jkwlw44444

I can’t figure it out!! Please help me!

Answers

Answer:

height = 8 cm

Step-by-step explanation:

formula to find area of a parallelogram =

base x height

so

10 x height = 80 cm square.

height = 80/10

=8 cm

help urgent please

the graphs below have the same shape. what is the equation of the blue graph?

no links please​

Answers

Answer:

C.   G(x) = (x+3)^3

Step-by-step explanation:

Inside the parenthesis, adding or subtracting numbers moves the shape along the x-axis. BUT signs have opposite effects. Adding a number moves the shape towards the negative side. Subtracting a number moves it to the positive side.

Which of these random samples represents a representative sample of the number of students who enjoy science class?
A. 30 students in the lunchroom.
B. 30 students who failed science class last year.
C. 30 students who received high grades in their science class last semester.
D. 30 students who participated in the science fair.

Answers

Answer: A. 30 students in the lunchroom.

Step-by-step explanation:

A representative sample simply refers to the sample that has same characteristics just like the population.

A random-based selection is regarded as a representative of the population. In this case, the random sample that represents a representative sample of the number of students who enjoy science class is "30 students in the lunchroom".

When the students in the lunchroom are chosen, then it's a representation of the entire students in the school. This is the best option when compared to other options as they don't represent the students entirely.

Answer:

30 students in the lunchroom

Step-by-step explanation:

Got it right on the test.

URGENT!!!

Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio

Cleopatra : Dalila : Ebony =
5 : 7 : 8

A) How many dollars do they have in total?

B) Dalila spends 12$ on a hat, how many dollars does she have left?

Answers

A)they have 20 dollar's in total

b)she is left with -12 dollar's

Explanation

total money = 5 + 7 + 8

                    = 20

Money Dalila had = 7 dollars

Money she spent = 12 dollars

money she is left with = 7 - 12 dollars

                                     = -5 dollars

Find the perimeter of this problem

Answers

Answer:

below

Step-by-step explanation:

perimeter of a semicircle

½ * 2πr

=πr

= 3.142*27

=84.78cm

Solve the system.
2x + y = 3 −2y = 14 − 6x

Answers

Answer:

(x , y ) = (39/22 , -2/11 )

.............

Answer:

-2,3 3,-7

Step-by-step explanation:

took test :)

The city of Raleigh has 10000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 200 randomly selected registered voters was conducted. 72 said they'd vote for Brown, 118 said they'd vote for Feliz, and 10 were undecided. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown. Note: The proportion should be a fraction or decimal, not a percent.

Answers

Answer:

0.36

Step-by-step explanation:

Given, There Are 10000 Registered Voters in a City & Two Candidates Brown & Felix .

The Day Before Election , A Telephonic Poll Of 200 Randomly Registered Voters Was Conducted .

72 said they would vote for Brown , 118 Said they would vote for felix & 10 Were Undicided .

Now, The sample statistic is the number who would vote for Brown divided by the total number in the sample, or 72/200 = 0.36    

& To Find How Many of 10000 voters to vote Brown Just Multiply 0.36 With 10000 ⇔ 0.36×10000=3600

PLZZZZZZZZZZZZZZZ HELP ME WITH THIS!!!


Elena and Diego each wrote an equation to represent the following diagrams. Decide which equation you agree with. And, you must provide your explanations in order to receive the points. You need to solve the equation you agree with. Finally, you need to describe, in words, the process you would use to find the missing values. You can assume that angles that look like right angles are indeed right angles.

1. Elean: w+148=180 , Diego: x+90=148.

We know that angle BKC=148 degrees.



I agree with : ( Elena / Diego /Both of them) .




Because:









Describe, in words, the process you would use to find the missing values:

Answers

Answer:

I agree with Elena. See explanation below.

Step-by-step explanation:

A right angle is equal to 90 degrees.

A straight line is equal to 180 degrees.

Elena: w + 148 = 180

Elena's equation is correct because 148 degrees is represented by variable k. When adding variable k and w together, they form a straight line which is equiavlent to 180 degrees. By using this equation, Elena can solve for w after isolating the variable:

w + 148 = 180

w + 148 - 148 = 180 - 148

w = 32 degrees

Diego: x + 90 = 148

Diego is incorrect. He added 90 degrees because of the right angle, but he failed to realize that x is within 90 degrees, meaning he would either have to subtract x from 90 degrees or add both x and w to get to 90 degrees. He cannot solve for x or w by using this equation.

To solve for x, add both w and x to get 90 degrees. Since Elena showed us w equals 32 degrees, we can set up an equation:

w + x = 90

32 + x = 90

32 - 32 + x = 90 - 32

x = 58 degrees

Alexsy runs in two cross-country races. He runs the first in 45 minutes and the second in 3.5 hours. Find the ratio of his first race time to his second race time in its simplest form.

Answers

Answer:

9:42

Step-by-step explanation:

First, convert his second run into minutes so its easier to simplify

than divide both the timings by 5

to get the answer as 9:42 as the simplest ratio form

What is the area of a regular hexagon (6 sides) whose
ℎ ℎ 6 ℎ ℎ ℎ ℎ 3√3 ? Show work
A) 54√3 2
B) 36√3 2
C) 108√3 2
D) 18√3 2

Answers

Step-by-step explanation:

With reference to the regular hexagon, from the image above we can see that it is formed by six triangles whose sides are two circle's radii and the hexagon's side. The angle of each of these triangles' vertex that is in the circle center is equal to 360∘6=60∘ and so must be the two other angles formed with the triangle's base to each one of the radii: so these triangles are equilateral.

The apothem divides equally each one of the equilateral triangles in two right triangles whose sides are circle's radius, apothem and half of the hexagon's side. Since the apothem forms a right angle with the hexagon's side and since the hexagon's side forms 60∘ with a circle's radius with an endpoint in common with the hexagon's side, we can determine the side in this fashion:

tan60∘=opposed cathetusadjacent cathetus => √3=Apothemside2 => side=(2√3)Apothem

As already mentioned the area of the regular hexagon is formed by the area of 6 equilateral triangles (for each of these triangle's the base is a hexagon's side and the apothem functions as height) or:

Shexagon=6⋅S△=6(base)(height)2=3(2√3)Apothem⋅Apothem=(6√3)(Apothem)2

=> Shexagon=6×62√3=216

A tower is known to be 60 meters high. A man using a theodolite stands some distance away from the tower and measures its angle of elevation as 38°. How far away from the tower is he if the theodolite stands 1.5 meters above the ground​

Answers

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A car manufacturing company produces blue and black cars only. If 54% of 85658 total
production is blue cars, how many black cars are there?

Answers

Answer:

About 39,402.

Step-by-step explanation:

You need to find the 46% of black cars.

Which of the following shows the numbers in the box below listed in increasing order?

(A) -2, 3/7, 1/2, 1.2
(B) -2, 1/2, 3/7, 1.2
(C) 3/7, 1/2, 1.2, -2
(D) 1/2, 3/7, 1.2, -2

Answers

9514 1404 393

Answer:

  (A) -2, 3/7, 1/2, 1.2

Step-by-step explanation:

The numbers are in increasing order when they are listed left-to-right as they appear on the number line.

The only numbers that may give you trouble are 3/7 = 6/14 and 1/2 = 7/14.

The negative number is less than any positive number. 1.2 is greater than any fraction that is less than 1.

The correct ordering is found in choice A.

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