A student has to sit for an examination consisting of 3 questions selected randomly from a list of 100 questions. To pass, he needs to answer all three questions. What is the probability that the student will pass the examination if he knows the answers to 90 questions on the list?

Answer:

it's b

Step-by-step explanation:

\( \: \: \: \: \: \: \)

answer

\(a = \frac{9}{2} - \frac{1}{2} b - \frac{1}{2} c\)

answer

\(a = 8 - 2b - c\)

answer

\(a = 11 - b - 2c\)

Answer: 3600 seconds

Step-by-step explanation:

60 seconds in a minute

60 minutes in an hour

(60)(60) = 3600

Answer:

3600

Step-by-step explanation:

There are 60 seconds in 1 minute

30 minutes equal 1800

So, 1800 + 1800 is 3600.

Hope this helps! :)

Answer:

24°

Step-by-step explanation:

For an n-sided regular polygon, the sum of internal angles = (n-2)×180°

Since all internal angles are equal, the internal angle can is given as:

Here, it is given that the polygon has 15 sides.

So n = 15

So each internal angle is 156°.

Internal and external angles are always supplementary. So the sum of the internal and external angles is 180°.

So external angle = 180° - 156° = 24°.

The measure of each external angle is 24°.

This year, the number of raffle tickets sold for a school's extracurricular activities fundraiser is 848. It is estimated that the number of raffle tickets sold will increase by 5% each year.

The total number of raffle tickets sold at the end of 9 years is approximately 9,818.  

To find the total number of raffle tickets sold at the end of 9 years, we need to calculate the number of tickets sold each year and sum them up.

Starting with the initial number of tickets sold, which is 848, we will increase this number by 5% each year for a total of 9 years.

Year 1: 848 + (5% of 848) = 848 + 42.4 = 890.4

Year 2: 890.4 + (5% of 890.4) = 890.4 + 44.52 = 934.92

Year 3: 934.92 + (5% of 934.92) = 934.92 + 46.746 = 981.666

Year 9: Ticket sales at the end of 9 years = Number of tickets sold in Year 8 + (5% of Year 8 sales)

Year 9: Total = 1,399.585 + 69.97925 = 1,469.56425 ≈ 1,469.56

The total number of raffle tickets sold at the end of 9 years is approximately 1,469.56.

The correct option is 9,818.

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The solution to the simplification is  -25.

Simplification or simplify fractions means to simplify a complicated mathematical expression to get a single or direct answer

-20 ÷ 4/5

rewrite the equation

-20 x 5/4

Multiply the fraction

-100/4

Divide the fraction

=-25

Therefore, the correction option from option 1 to 4  is 1. which is -25

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Answer:

2 3/5

Step-by-step explanation:

13/5​

5 goes into 13 2 time

2*5 =10

13-10 =3

There is 3 left over.  This goes over the denominator

2 3/5

2 3/5

Step-by-step explanation:

13/5

5*2=10

reminder=3

divisor = 5

Answer:

Step-by-step explanation:

120-72 = 48

x ≤ 48

Step-by-step explanation:

just multiple them and you'll get the results and the results you got add them together

Answer:

(f o g)(x) = 8x² + 10x + 3

Step-by-step explanation:

(f o g)(x) = f(g(x))

              = 2 (4x² + 5x) + 3

              = 8x² + 10x + 3

The probability that:

First, check if it is appropriate to use the normal approximation to the binomial distribution. The rule of thumb is that this approximation is reasonable if both np and n(1-p) are greater than 5. In this case, p = 0.83 (probability of failure), n = 70 (number of trials).

So,

np = 700.83 = 58.1,

n(1-p) = 700.17 = 11.9.

Both quantities are larger than 5, so use the normal approximation.

Convert this to a problem involving a normal distribution. The mean of this distribution is np = 58.1 and the standard deviation is √(np(1-p)) = √(700.830.17) = 6.35.

(a) within 2 years 47 or more fall:

This corresponds to a Z-score of (47.5 - 58.1) / 6.35 = -1.67. The probability that a standard normal variable is greater than -1.67 is 0.9525.

So the probability that 47 or more products fail is approximately 0.9525.

(b) within 2 years 58 or fewer fail:

This corresponds to a Z-score of (58.5 - 58.1) / 6.35 = 0.063. The probability that a standard normal variable is less than 0.063 is 0.5250.

So the probability that 58 or fewer products fail is approximately 0.5250.

(c) within 2 years 15 or more succeed:

Since the probability of success is 1-p, this is equivalent to fewer than (70 - 15 = 55) failing. This corresponds to a Z-score of (54.5 - 58.1) / 6.35 = -0.567.

The probability that a standard normal variable is greater than -0.567 is 0.7151.

So the probability that 15 or more products succeed is approximately 0.7151.

(d) within 2 years fewer than 10 succeed:

This is equivalent to more than (70 - 10 = 60) failing. This corresponds to a Z-score of (60.5 - 58.1) / 6.35 = 0.377.

The probability that a standard normal variable is less than 0.377 is 0.6478.

However, since we want more than 60 failing, the probability that the variable is greater than 0.377, which is 1 - 0.6478 = 0.3522.

So the probability that fewer than 10 products succeed is approximately 0.3522.

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Answer:

5 shipments had at least 10 broken tiles but less than 20 broken tiles.

Equation of the line that passes through points (-2, 0) and (0, 6) is y = 3x + 6

A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely.

Given,

Line passes through (-2 , 0) and (0,6)

Equation of the line

y - y₁ = ((y₂ - y₁) / (x₂ - x₁)) (x - x₁)

y - 0 = ((6 - 0) / (0 - -2)) (x - -2)

y = (6/2)(x + 2)

y = 3x + 6

Hence, y = 3x + 6 is equation of the line.

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Answer:

UW=165

Step-by-step explanation:

UV + VW =UW

5x + 8x-17= 11x +11

13x - 17 = 11x + 11

Subtract 11x and add 17 to both sides:

2x= 28

Divide 2 both sides:

x=14

Plug in x to the equation of UW:

11 (14) +11

165

The required volume of the given rectangular prism is given as 240 in ³.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
From the data we have,
Length of the rectangle prism = 12 in
Width of the rectangle prism = 2 in
Height of the rectangle prism = 10 in

The volume of the rectangular prism = length × width × height
                                                 = 12 × 2 × 10
                                                 = 240 in ³

Thus, the required volume of the given rectangular prism is given as 240 in ³.

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The question is incomplete.
Complete question is," Calculate the volume of the prism of dimensions length, width and height are 12, 2, and 10 respectively. "

Answer:

Mean: 5

Median: 5

Step-by-step explanation:

To find the mean you have to add up all the numbers then divided by the total number of numbers you have.

- 3+6+5+4+7+5+6+4=40

- There are 8 numbers so we would do 40 divided by 8 to get our answer,5

- 3,3,4,4,5,5,6,6,7

You start by taking one number from the smallest number then from the largest number.

-3,3,4,4,5,5,6,6,7 goes to 3,4,4,5,5,6,6,7 then to 3,4,4,5,5,6,6 to 4,4,5,5,6,6 to 4,4,5,5,6 to 4,5,5,6 to 4,5,5 to 5,5 to 5

You repeat that until you are left with the middle number, sometimes you might be left with 2 numbers, you have to add those 2 numbers together then divide the sum by 2. With this situation there aren't 2 medians so you're just left with your answer, 5.

Answer:

$568.75.

Step-by-step explanation:

Answer:

8.75 or 8¾

Step-by-step explanation:

to figure out how food will be needed to feed the horses for ten days you will to do

7/8 × 10 which is 70/8 then you need simply so

70 ÷ 8 is 8.75 or 8¾

hope this helps !! :)

Answer:

C

Step-by-step explanation:

Answer:

8.54 meters

Step-by-step explanation:

0.61x14=8.54

The required image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

To find the image T of triangle ABC under the transformation (x,y) → (x-4, y+1), apply this transformation to each of the vertices of triangle ABC and then connect the new vertices to form the image T.

Let's assume that the coordinates of the vertices of triangle ABC are A(a,b), B(c,d), and C(e,f).

To find the image of vertex A under the transformation, we substitute x = a and y = b into the transformation equation:

(x,y) → (x-4, y+1)

(a,b) → (a-4, b+1)

Therefore, the image of vertex A is A'(a-4, b+1).

Similarly, we can find the images of vertices B and C:

B'(c-4, d+1)

C'(e-4, f+1)

Therefore, the image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

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The graph of g(x) = 4x, is the translation of f(x) by subtracting 3.5 units, 2 of 3.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled.

As per the given question, the required solution would be as:

g(x) = 4x , is the translation of f(x) by subtracting 3.5 units, 2 of 3.

The graph of g(x) would be identical to the graph of f(x), but shifted 3.5 units downward, 3 of 3.

This is because the flat fee for the rental of bowling shoes is not present in the function g(x), so the y-intercept of the graph would be at (0,-3.5) instead of (0,0) in f(x) function.

The slope and the shape of the function will remain the same.

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Answer:

2x-4

Step-by-step explanation:

5x-(4+3x)

5x-4-3x

5x-3x-4

2x-4

Answer:

Right Angle

Step-by-step explanation:

Its a Right angle because if you see a square box on a 90 degree measurement then its a right angle.

Answer:

\(\boxed{\bold{\huge{\boxed{Right}}}}\)

Step-by-step explanation:

If an angle’s measure is 90° then it is said to be a Right angle.

Answer:

The margin of error (E)  \(=0.49\)

Step-by-step explanation:

Given,

 mean \(\bar{x}=6.88\)

 standard deviation \(\sigma=1.90\)

 sample size \(n=41\)

\(90\% \quad \text{confidence interval}\)

Critical value \(=\frac{z_\alpha}{2}\quad \quad\quad[\because\;\alpha=1-\text{confidence interval}]\)  

                                                \(=1-0.90\)

                                        \(\Rightarrow \alpha=0.1\)

Critical value \(=\frac{z_{0.1}}{2}\)

                      \(=z_{0.05}\)

                      \(=1.645\)

The margin of error (E)  \(=\frac{z_\alpha}{2} \times\frac{\sigma}{\sqrt{n} }\)

                                       \(=1.645\times\frac{1.90}{\sqrt{41} }\)

                                       \(=0.49\)

Hence, The margin of error (E) \(=0.49\)

Complete question is attached in below.

Answer:

-1.6

Step-by-step explanation:

Since they're both negative and you're adding, you would do the same if you added normally, but you would add a negative sign.

Answer:

-2.6

Step-by-step explanation:

-1.4 + (-1.2)

-1.4 - 1.2

-(1.4+1.2)

-2.6

Remember that adding a negative is the same as subtracting a positive.

Answer:

True

Step-by-step explanation:

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Answer:

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very true

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Step-by-step explanation:

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