Alice and Bob took a test, which has ten questions. Given that Alice answered six questions correctly and Bob answered eight questions correctly, compute the probability that there exists at least one question on the test which is answered correctly by Alice but not by Bob.

Answer:75%

Step-by-step explanation:

Answer:

100/$80 = 1.25

1.25 x $60 = 75%

Billy would have spent 75% of his money

Step-by-step explanation:

100/$80 = 1.25

1.25 x $60 = 75%

Billy would have spent 75% of his money

Answer:

No, it is not a right triangle. It is an obtuse triangle.

Step-by-step explanation:

How to know a right traingle

A right triangle is a triangle in which one of the angles is a 90∘ angle. The "square" at the vertex of the angle indicates that it is 90 degrees. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.

Answer:

\(\boxed{x<20}\)

Step-by-step explanation:

\(\frac{1}{2} x<10\)

Multiply both sides by 2.

\(x<20\)

Answer:

The late fee would be about $7

Step-by-step explanation:

Divide

\(139.92/100 = 1.3992\)

Multiply by 5

\(1.3992*5=6.996\)

$7

Answer:

22n - 11

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

cube has 6 square faces so 6*s*s

s =3 in =3*2.54 cm = 7.62 cm

1 in = 2.54 cm

1 cube needs 6*7.62² = 348.3864 cm²

10 cubes = 10*348.3864 =3483.864 cm²

Answer:

Length: 33 ft

Width or side: 7 ft

Step-by-step explanation:

Check the attachment.

The correct option for the given sum is option B. The point (2,-9) paired with (2, 3), will make a side equal to this length.

Let the other point of the pentagon will be M(n, o).

The given point be A (a, b)

Also given one of the sides of a pentagon has length 12.

Now, we need to find the distance between the two points,

Distance between two points: |AM| = √\((a-n)^2+(b-o)^2\)

Now,

\(12 = \sqrt{(2-n)^2+(3-o)^2}\)

\((12)^2\) = \((2-n)^2+(3-o)^2\)

\((2-n)^2+(3-o)^2\) = 144 ----------------------------- eq (1)

Now, check every point for the values to match with equation (1)

Option A: \((2-14)^2+(3-15)^2\) = 288. So the option is false.

Option B:

\((2-2)^2+(3-(-9))^2\) =114

0+114 =114

Therefore option B is correct. The other point is (2,-9).

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Answer:

for angle H ,

hypotenuse = gh( √77)

adjacent side= ih( √35)

perpendicular=gi( √42)

then

we know

secant=hypotenuse /adjacent

=√77/√35

The inequality that describes the problem is C. 8x ≤ 16

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Since Kamari's Sweet Treats, cookies are packaged in boxes of 8 and the most a box can cost is $16. This will be:

8x ≤ 16

The correct option is C.

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Answer:

y=-1/4x-6

Step-by-step explanation:

The problem wants the form y=mx+b where m is the slope and b is the y-intercept.

The y-intercept in this case is -6 (where the line intercepts the y-axis).

We can use points (0,-6) and (4,-7) to calculate the slope. We just divide the difference in y-values by the difference in x-values.

-6-(-7)/0-4=-6+7/-4=1/-4=-1/4

So the equation of the line is y=-1/4x-6

Answer:

Step-by-step explanation:

a, e, f

Answer:

14

Step-by-step explanation:

You can solve using PEMDAS:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

3(2+5)-5(3)+8=?

3(7)-5(3)+8=?

No exponents

3(7)-5(3)+8=?

21-15+8=?

No division

21-15+8=?

21-7=?

21-7=14

3(2+5)-5(3)+8=14

Answer:

\(3(2+5) - 5(3) + 8\\3(7) - 15 + 8\\21 - 15 + 8\\6 + 8\\14\)

Step-by-step explanation:

The reason PEMDAS is in the order it is, is because we need to simplify all the operations into addition before combining everything. Think about it, mulitplication is just another way to add large quantities of things quickly, same with exponents.

Answer:

63 answers

Hope this helps :p

The total number of questions to be answered correctly so that 75% of answers are correct is 63.

∵ To pass the assessment, the percentage of questions to be answered correctly = 75.

That means, for every 100 questions, the number of correct answers required = 75

∴ For 1 question, the number of correct answers required= 75/100

                                                                                         =3/4

But, the total number of questions in the assessment = 84

∴ For 84 questions, the number of correct answers required = 3/4×84

                                                                                                     = 63

Hence, the total number of questions to be answered correctly so that 75% of answers are correct is 63.

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the answer is 23...........

Answer:

  -24

Step-by-step explanation:

\(\sqrt{144}-(16-5\times 2)^2=\sqrt{144}-(16-10)^2=\sqrt{144}-6^2\\\\=12-36=\boxed{-24}\)

Your calculator can be helpful for this.

Answer:

y = 4x + 5

Step-by-step explanation:

-4x + y = 5

-4x + 4x + y = 5 + 4x

y = 5 + 4x

Hope this helps! :)

Answer:

y=7

Step-by-step explanation:

there is no slope, so all we have is the y-intercept.

Answer:

B.5

Step-by-step explanation:

Answer:

---------------------------------

Real distance is 4.4 miles and on the map it is 8 inches.

The scale is:

or

Answer:36

Step-by-step explanation:

x2 - 10x + 25 = 0 2x2 - 2x - 5 = 0 x2 - 16x = 36. This problem has been solved!

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.

In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.

Here we have

- 3x² + 33 = 48x

Keep 'x' terms on one side and constant terms sides on another side

=> - 3x² - 48x = - 33

Divide by - 3 on both sides

=> -3(x² + 4x)/3 = - 33/3  

=> x² + 16x = 11      

Take half of the 'x' term and square it and add on both sides

=> x² + 2(8x) (x) + (8)² = 11 + (8)²  

Which is in the form of x² + 2bx + b² = (x + b)²

=> [x + 8]² = 75

Therefore,

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

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Uri paid a total of $85.47 for the landscaping service including tax and tip.

Taxes are compulsory payments made by a government organisation, whether local, regional, or federal, to people or businesses. Tax revenues are used to fund a variety of government initiatives, such as Social Security and Medicare as well as public infrastructure and services like roads and schools. Taxes are borne by whoever bears the cost of the tax in economics, whether this is the entity being taxed, such as a business, or the final users of the items produced by the firm. Taxes should be taken into consideration from an accounting standpoint, including payroll taxes, federal and state income taxes, and sales taxes.

Given that company charged $74 for the service plus 5% tax.

The tax is 5%, that is:

Tax = 5% of $74 = 0.05 x $74 = $3.70

Cost after tax = $74 + $3.70 = $77.70

Now, tip is 10%:

Tip = 10% of $77.70 = 0.10 x $77.70 = $7.77

Total cost = $77.70 + $7.77 = $85.47

Hence, Uri paid a total of $85.47 for the landscaping service including tax and tip.

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Approximately 37.5% of the data are greater than 28, 33.3% of the data are less than 23, 91.7% of the data are greater than 17.5, and 62.5% of the data are between 17.5 and 28.

To answer the questions, we can analyze the given data set.

First, let's count the number of data points that satisfy each condition:

Greater than 28:

There are 9 data points greater than 28 (29, 29, 29, 30, 29, 29, 28, 28, 28).

Less than 23:

There are 8 data points less than 23 (20, 18, 15, 17, 17, 15, 17, 19).

Greater than 17.5:

There are 22 data points greater than 17.5.

Between 17.5 and 28:

There are 15 data points between 17.5 and 28.

Now, let's calculate the approximate percentage for each condition:

Percent greater than 28:

The total number of data points is 24. Approximately, 9 out of 24 data points are greater than 28.

Percentage =\((9 / 24) \times 100 = 37.5\)%.

Percent less than 23:

Approximately, 8 out of 24 data points are less than 23.

Percentage = \((8 / 24) \times 100 = 33.3\)%.

Percent greater than 17.5:

Approximately, 22 out of 24 data points are greater than 17.5.

Percentage = \((22 / 24) \times 100 = 91.7\)%.

Percent between 17.5 and 28:

Approximately, 15 out of 24 data points are between 17.5 and 28.

Percentage = \((15 / 24) \times 100 = 62.5\)%.

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You can identify that "5 over 100" can be written as a fraction. 5 will be the numerator and 100 will be the denominator:

To reduce this fraction, you need to divide the numerator and the denominator by the Greatest Common Factor (GCF) between them.

In this case, to find the GCF, you need to:

- Decompose the number into their Prime Factors:

- Notice that 5 is a common factor. Then, you need to choose the one with the lowest exponent:

Therefore, by dividing the numerator and the denominator by 5, you get:

Hence, the answer is:

The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

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The measure of angle P is 29 degrees

The sum of an interior angle of a triangle is 180 degrees. Given the following parameters:

Taking the sum and equating to 180 degrees:

m<M + m<N + m<P = 180 degrees

15x + 5 + 3x + 2 + 5x - 11 = 180

23x - 4 = 180

23x = 184

x = 184/23

x = 8

Get the measure of m<P

m<P = 5x - 11

m<P = 5(8) - 11

m<P = 40 - 11

m<P = 29 degrees

Hence the measure of angle P is 29 degrees

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