There were 49 questions in the exam and Peter answered 45 questions correctly. Find the percent of error.


A. 8.16%
B. 8.2%
C. 8.5%
D. 8.8%

Answer:

The random samples of the given scores of each block represents ,

Inter quartile range of each block is Option D. Block 1 IQR = 20 and Block 2 IQR= 5.

Outliers present in each block is Option B. Block One= 25, Block Two= 100.

Each data display represents Option B. Block 1 is skewed right, Block 2 is skewed left.

Mean and standard deviation in Block 1  is Option A.  Mean = 76.5, standard deviation = 21.6.

Score of two blocks,

Block 1

25, 60, 70, 75, 80, 85, 85, 90, 95, 100.

Block 2

70, 70, 75, 75, 75, 75, 80, 80, 85, 100.

To get Interquartile range 'IQR' of each block,

First find the quartiles.

Median of Block 1 = 80

Median of Block 2 = 75

First quartile Q₁ and third quartile Q₃ of each block,

Split the data into two halves at the median and find the median of each half.

Block 1

Lower half is,

25, 60, 70, 75, 80

Q₁ = median of the lower half

    = 70

Upper half is,

85, 85, 90, 95, 100.

Q₃ = median of the upper half

     = 90

IQR = Q₃ - Q₁

      = 90 - 70

      = 20

Block 2

Lower half is,

70, 70, 75, 75, 75

Q₁ = median of the lower half

     = 75

Upper half is,

75, 80, 80, 85, 100.

Q₃ = median of the upper half

     = 80

IQR = Q₃ - Q₁

      = 80 - 75

       = 5

Option D. Block 1 IQR = 20 and Block 2 IQR= 5

Outliers in each block,

First find lower and upper bounds.

Any data point outside the bounds is considered an outlier.

The lower bound is Q₁ - 1.5(IQR),

and the upper bound is Q₃ + 1.5(IQR).

Block 1,

Q₁ = 70

Q₃ = 90

IQR = 20

Lower bound

= Q₁ - 1.5(IQR)

= 70 - 1.5(20)

= 70 - 30

= 40

Upper bound

=Q₃ + 1.5(IQR)

= 90 + 1.5(20)

= 120

The data point 25 is less than the lower bound,

so it is an outlier in Block 1.

Block 2,

Q₁ = 75

Q₃ = 80

IQR = 5

Lower bound

= 75 - 1.5(5)

= 67.5

Upper bound

= 80 + 1.5(5)

= 87.5

100 is more than the upper bounds in Block 2,

so it is an outliers of Block 2.

Option B. Block One= 25, Block Two= 100

The data displays as symmetric skewed left or skewed right,

Examine the shape of the histograms.

Block 1 has a histogram that is skewed right.

With more scores on the higher end of the range.

Block 2 has a histogram that is slightly skewed left.

With more scores on the lower end of the range.

Option B. Block 1 is skewed right, Block 2 is skewed left.

Mean and standard deviation of Block 1,

Use the formulas,

Mean = sum of scores / number of scores

Standard deviation = √ [(sum of (scores - mean)^2) / (n - 1)]

Block 1

Mean

= (25 + 60 + 70 + 75 + 80 + 85 + 85 + 90 + 95 + 100) / 10

= 76.5

Standard deviation

= √[((25-76.5)^2 + (60-76.5)^2 + ... + (100-76.5)^2) / (10 -1 )]

=√2652.25 + 272.25+ 42.25 +2.25 + 12.25 + 72.25 + 72.25 + 182.25 + 342.25 + 552.25 /9

= √4202.5/9

= 21.6

Option A.  Mean = 76.5, standard deviation = 21.6.

Therefore, for the given scores answer of the following questions are,

Inter quartile range is Option D. Block 1 IQR = 20 and Block 2 IQR= 5.

Outliers in each block is Option B. Block One= 25, Block Two= 100.

Data display is Option B. Block 1 is skewed right, Block 2 is skewed left.

In Block 1 Option A.  Mean = 76.5, standard deviation = 21.6.

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Answer:

6x(-x+3)

Step-by-step explanation:

-6x^2+18x

factor out 6x

6x(-x^2+3)

The numerical or verbal descriptions that usually result from measurements are called data or observations.

When measurements are conducted, whether in scientific experiments, surveys, or other data collection processes, the outcome is typically a set of data or observations.

These measurements can be represented numerically, such as numerical values or quantities, or verbally, using descriptive terms or categories.

Numerical descriptions provide precise quantitative information, such as measurements of length, weight, temperature, time, or any other measurable attribute. These measurements are often expressed using numbers or units of measurement.

Verbal descriptions, on the other hand, use words or qualitative descriptions to convey information about the observations.

For example, when conducting a survey, respondents might provide verbal responses that describe their opinions, preferences, or experiences.

Both numerical and verbal descriptions play important roles in data analysis and interpretation.

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Step-by-step explanation:

i hope it helped you a lot. thankyou

The perimeter of the smaller triangle would be = 28.1

A triangle can be defined as a three sided polygon that has a total internal angle of 180°.

To calculate the perimeter of the triangle is to find out the scale factor that exists between the two triangles.

The formula for scale factor = original object/new object

Scale factor= 8/7 = 1.14

The perimeter of the smaller triangle = 32/1.14

= 28.1.

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If P(A) and P(B) are equal to 0.494 which is P(A∩B). Then event A and event B are independent.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

The probability of event A is 0. 65, and the probability of event B is 0. 76.

The probability of both event A and event B occurring is 0. 494.

\(P(A) = 0.65\\\\P(B) = 0.76\\\\P(A \cap B ) = 0.494\)

If P(A) and P(B) are equal to 0.494. Then they are independent.

\(P(A) * P(B) = 0.65*0.76 = 0.494\\\\P(A) *P(B) = P(A \cap B )\)

Hence, event A and event B are independent.

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Answer:

4.50

Step-by-step explanation:

sin 40°= opposite/hypotenuse

sin 40°= opp/7

0.6428= opp/7

multiply both sides by 7

\(0.6428 \times 7 = \frac{opp}{7} \times 7 \)

4.4996= opp

to nearest hundredth = 4.50

Answer:

Anwer is (z.50)+(z.2) since expanding it is z.52

Answer:

area of shaded portion=56 - 1/2 ×3×4=56-6= 50 yd^2

Answer:

2:292

Step-by-step explanation:

They sold 292 in total

290 were board games and the rest were cards

so,

292-290=2

2 card games

Answer: 2:292

Step-by-step explanation:

They sold 292 in total

290 were board games and the rest were cards

so,

292-290=2

2 card games

We have a basket and a hat.

The basket has the numbers 1, 2, 3, 4 and 5.

The hat contains the letters A, B, C and D.

We have to calculate the probabiltiy of drawing a number that is greater than 3 from the basket and drawing the letter C from the hat.

We have two events:

- Drawing a number greater than 3 from the basket

- Drawing a C from the hat

They are independent as the probability of each on does not depend on the outcome of the other event.

Then, we can calculate the probability of the two events happening together as the product of its probabilities:

The probability of drawing a number greater than 3 can be described as 2/5, as we have 2 numbers greater than 3 (4 and 5) out of 5 numbers in the basket.

The probability of drawing a letter C can be described as 1/4, as we have one letter C out of 4 letters available.

Then, we can calculate the probability as:

Answer: the probability is 1/10 or 0.1.

Answer: 2:10 PM

Step-by-step explanati

Answer:

\((x+7)(x+2)\)

Step-by-step explanation:

We have the equation:

\(x^{2} +9x+14\).

The factors of 14 are 1, 2, 7 and 14.

Now, all we have to do is find two numbers that add up to 9.

We see that 2 and 7 add up to 9.

Therefore,

\(x^2+9x+14=(x+7)(x+2)\)

Hope this helped! Have a great day!

Answer:

(x+7)(x+2)

Step-by-step explanation:

x^2+2x+7x+14           (Because 7 and 2 add to give 9 and multiply to give 14)

x(x+2) +7(x+2)            (Take out common factors, factorising)

(x+2)(x+7)                   (Put the things common in a bracket together and the bits that are outside in another bracket)

Answer:

$125

Step-by-step explanation:

12.5+12.5=25•2=50+75=125

Answer:

m= 75+12.50h?

Step-by-step explanation:

Answer: -12

Step-by-step explanation: To divide (84) ÷ (-7), remember that

a positive divided by a negative is a negative.

So (84) ÷ (-7) is -12.

If Dmitry is making a recipe that uses 1 pound of wheat flour and 10 ounces of almond flour then he will require total 26 ounces of flour.

Given that Dmitry is making a recipe that uses 1 pound quantity of wheat flour and 10 ounces of almond flour.

We are required to find the total quantity of total flour that Dmitry uses.

Quantity or amount is basically a property that can exist as a multitude or magnitude,

We know that 1 pound is equal to 16 ounces.

Quantity of wheat flour=1 pound

In 1 pound of wheat flour=16 ounces of wheat flour.

Quantity of almond flour=10 ounces

Total requirement of flour=16+10

=26 ounces.

Hence if Dmitry is making a recipe that uses 1 pound of wheat flour and 10 ounces quantity of almond flour then he will require 26 ounces of flour.

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Answer:

A

Step-by-step explanation:

There are 4 hits and 4 misses in the address sequence 0, 2, 4, 8, 10, 12, 14, 8, 0 using the MRU replacement policy.

LRU replacement policy

There are 5 hits and 3 misses in the address sequence 0, 2, 4, 8, 10, 12, 14, 8, 0 using the LRU replacement policy.

The status of the cache after each address is accessed is as follows:

Address of Memory Block Accessed | Evicted Block | Hit or Miss

--------------------------------|------------|------------

0                              | N/A         | Hit

2                              | N/A         | Hit

4                              | 0           | Miss

8                              | 2           | Hit

10                             | 4           | Miss

12                             | 8           | Hit

14                             | 12          | Miss

8                              | 14          | Hit

0                              | 8           | Hit

4.2 - MRU (most recently used) replacement policy

There are 4 hits and 4 misses in the address sequence 0, 2, 4, 8, 10, 12, 14, 8, 0 using the MRU replacement policy.

The status of the cache after each address is accessed is as follows:

Address of Memory Block Accessed | Evicted Block | Hit or Miss

--------------------------------|------------|------------

0                              | N/A         | Hit

2                              | N/A         | Hit

4                              | 0           | Miss

8                              | 2           | Hit

10                             | 4           | Miss

12                             | 8           | Hit

14                             | 10          | Miss

8                              | 12          | Hit

0                              | 14          | Hit

As you can see, the LRU replacement policy results in 1 fewer miss than the MRU replacement policy. This is because the LRU policy evicts the block that has not been accessed in the longest time, while the MRU policy evicts the block that has been accessed most recently.

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Answer:

C.) 33.60

Step-by-step explanation:

OMP. = $56

D. = 25%

0.25 * $56 = $14

SP. = $56-$14=$42

CD. = 20% of Selling price

= 0.20 * $42 = $8.40

FSP. = $42-$8.40      = $33.60

Answer:

c

Step-by-step explanation:

Answer:

A. 4(x + 3) = 4x - 8.

Step-by-step explanation:

Answer:

4 ounces

Step-by-step explanation:

Answer:

1 stick butter is equivalent to __4___ ounces.

Step-by-step explanation:

1 stick of butter is equal to 4 ounces

Answer:

124 degrees warmer

Step-by-step explanation:

i think

Answer:

It’s 122 because 80 and -40 is 122.

Step-by-step explanation:

hope this helps

Answer:

a loss of 72.47

Step-by-step explanation:

I got this answer right on my test

Moving a negation inward over a disjunction changes disjunction into a conjunction and each of two statements is negated. Moving a negation inward over an existential quantifier changes quantifier to a universal quantifier.

Moving a negation inward over a universal quantifier changes the quantifier to an existential quantifier and the rest of the expression is negated.When we move a negation inward over a disjunction (OR), the disjunction changes into a conjunction (AND). Additionally, each of the two statements within the disjunction is negated. This is known as De Morgan's Law for negations of disjunctions.

Moving a negation inward over an existential quantifier (∃) changes the quantifier to a universal quantifier (∀), and the rest of the expression is negated. In other words, the negation applies to the entire expression, including the quantifier and the statement.

Similarly, moving a negation inward over a universal quantifier (∀) changes the quantifier to an existential quantifier (∃), and the rest of the expression is negated. Again, the negation applies to the entire expression, including the quantifier and the statement.

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Answer:

c. -14

Step-by-step explanation:

is the highest number out of all of them

Answer:

I suppose the equation would be something like b = 6x, where x is equal to the amount of chocolate chips and b equals to amount of butter.

The function f : Z x Z → Z x Z defined by \(f(m,n) = (5m+4n, 4m+3n)\) is bijective, with its inverse given by \(f^{-1}(m,n) = (-3m + 4n, 4m - 5n)\). This means that for every pair of integers (m,n), the function f maps them uniquely to another pair of integers, and the inverse function \(f^{-1}\) maps the resulting pair back to the original pair.

The inverse of the function f(m,n) = (5m+4n, 4m+3n) is \(f^{-1}(m,n) = (-3m + 4n, 4m - 5n)\).

To show that the function f is bijective, we need to prove both injectivity (one-to-one) and surjectivity (onto).

Injectivity:

Assume f(m1, n1) = f(m2, n2), where (m1, n1) and (m2, n2) are distinct elements of Z x Z.

Then, (5m1 + 4n1, 4m1 + 3n1) = (5m2 + 4n2, 4m2 + 3n2).

This implies 5m1 + 4n1 = 5m2 + 4n2 and 4m1 + 3n1 = 4m2 + 3n2.

By solving these equations, we find m1 = m2 and n1 = n2, proving injectivity.

Surjectivity:

Let (a, b) be any element of Z x Z. We need to find (m, n) such that f(m, n) = (a, b).

By solving the equations 5m + 4n = a and 4m + 3n = b, we find m = -3a + 4b and n = 4a - 5b.

Thus, f(-3a + 4b, 4a - 5b) = (5(-3a + 4b) + 4(4a - 5b), 4(-3a + 4b) + 3(4a - 5b)) = (a, b), proving surjectivity.

Since the function f is both injective and surjective, it is bijective. The inverse function \(f^{-1}(m, n) = (-3m + 4n, 4m - 5n)\) is obtained by interchanging the roles of m and n in the original function f.

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Answer:

it will be 27 gallons

Step-by-step explanation:

if we take the gallons number is x

then x=\(\frac{351*12}{156}\)

The probability of selecting a student whose favorite winter activity is skiing is 58.2%, the probability of selecting a high school student is 79.2%, the probability that a college student prefers ice skating is 33.2%, the probability the student is in high school and enjoys ice skating is 15.4%.

a. The probability of selecting a student whose favorite sport is skiing is 155/266, or about 58.2%.

b. The probability of selecting a high school student is 211/266, or about 79.2%.

c. If the student is in college, the probability that the student prefers ice skating is 70/211, or about 33.2%.

d. The probability the student is in high school and enjoys ice skating is 41/266, or about 15.4%.

e. The probability the student is in grad school or enjoys snowboarding is 148/266, or about 55.7%.

The probability of selecting a student whose favorite winter activity is skiing is 58.2%, the probability of selecting a high school student is 79.2%, the probability that a college student prefers ice skating is 33.2%, the probability the student is in high school and enjoys ice skating is 15.4%, and the probability the student is in grad school or enjoys snowboarding is 55.7%.

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