which weighs more a bicycle that weighs 14 kilograms or a dog that weighs 30 pounds? note 1 pound is about 0.45 kilograms

Answer: 165 different combinations.

Step-by-step explanation:

Here we first need to identify the "selections", and then the number of options for each selection.

Here we have two selections, shorts, and sleeveless blouses.

For shorts, we have 15 options.

For sleeveless blouses, we have 11 options.

The total number of combinations will be equal to the product between the numbers of options for each selection, then the total number of combinations is:

C = 11*15 = 165

The probability that Joe will pass the test is 100%.

From the information, Joe hasn't studied for the final test in his statistics class, but he does have some background, so he's sure he can get the right answer about 60% of the time.

Therefore, if there are 100 multiple choice questions, and the lowest passing score is 60%, the probability that Joe will pass is 100%. This is because he usually has a 60% passing rate and this tallies with the lowest percentage needed to pass.

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Given:

The trinomial equation is given as,

The objective is to choose the correct value for which the factors are to be obtained for factorization.

Explanation:

From the step 1, to perform the factorization the values of a and c has to be multiplied.

Then in step 2, the factors need to be calculated for the product of a and c.

Product of a and c :

The product of a and c will be,

Thus, factors are to be listed for the number 21.

Hence, option (1) is the correct answer.

Step-by-step explanation:. The first says “I know that 10 is one-tenth of 100. I will therefore divide 50 by 10. The answer is 5”.

This is fine when the numbers are relatively simple. But suppose the numbers are more complicated.

What is 22% of 46?

Now it’s much less straightforward. You can’t just work out what 22% is, expressed as a fraction, and anyway, it’s not a simple fraction.

Instead, you have to divide 46 into 100 equal parts, and work out what 22 of them would be when added together.

So: 46 ÷ 100 = 0.46 [remember, when you divide by 100, you move the decimal point two places to the left].

0.46 × 22 = 10.12

Answer: 22% of 46 is 10.12.

Hope this helped :)

Answer:

Sale Price = $29.05 (answer). This means the cost of the item to you is $29.05. You will pay $29.05 for a item with original price of $35 when discounted 17%. In this example, if you buy an item at $35 with 17% discount, you will pay 35 - 5.95 = 29.05 dollars

In linear equation, 11x  * f(x) + 7 * f(X)  is (fg)(x) in standard form .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                            Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

f(x) . g(x) = f(x) . ( 11x + 7 )

Multiplicative Distribution Law   = f(x) * 11x + f(x) * 7

                                 = 11 * f(x) *  x+ 7 * f(x)

                                 = 11x * f(X) + 7 * f(x)

                                = 11x  * f(x) + 7 * f(X)

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The probability of exactly 3 successes in 15 trials with a probability of success on a single trial of 0.77 is approximately 0.1648.

To find the probability of exactly 3 successes in a binomial distribution with n=15 trials and a probability of success on a single trial q=0.77, we can use the formula for the probability mass function of the binomial distribution:

P(X=k) = (n choose k) * q^k * (1-q)^(n-k)

Substituting the given values into the formula, we get:

P(X=3) = (15 choose 3) * 0.77^3 * (1-0.77)^(15-3)

P(X=3) = (15!/((15-3)!3!)) * 0.77^3 * 0.23^12

P(X=3) = 0.1648.

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Answer: 5, 30, 15

Step-by-step explanation:

y =3x

y is x multiplied by 3

15 divided by 3 is 5

10 multiplied by 3 is 30

45 divided by 3 is 15

Answer:

6(11+4+13)

Step-by-step explanation:

66+24+78=6(11+4+13)

Since CHNY is a parallelogram, HN = CY. Also, since diagonals CH and NY intersect at point A, we have:

HN + NA = AY (1)

Substituting the given values, we get:

(7x + 5) + (2x + 3) = 4x - 7

Simplifying and solving for x, we get:

9x = -15

x = -5/3

Therefore, the value of x is -5/3.

SOLUTION:

Case; Rational and irrational numbers

Given: n is a rational number and m is an irrational number.

Required: Can n + m be a rational number and why or why not

Method:

n is rational

m is irrational.

The sum cannot be a rational number because when a rational number such as 5 or 1/2 is add to an irrational number such as the root of 3. Only some parts of its place value gets changed, maybe up to its it decimal places.

Example:

If

Final answer:

No

Answer:

$5.60 for 7 pounds

Answer:

Step-by-step explanation:

Cost of 1 pound:

Cost of 7 pounds:

A statement that correctly compares the graph of function g with the graph of function f include the following: C. The graph of function g is a vertical compression of the graph of function f.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

When the parent function \(f(x) = e^x -4\) is vertically compressed by a scale factor of 1/2, the transformed function g(x) is given by the following equation;

g(x) = kf(x)

g(x) = 1/2f(x)

\(g(x) = \frac{1}{2} e^x -4\)

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One characteristic of a well-defined probability density function of a continuous random variable X is that the area under the curve, f(x) over all values of x is equal to one.

Probability density functions are a group of functions commonly used in statistical theory to describe the behavior of theoretical probability distributions. A function satisfies a criterion like the function if its values are always positive for all horizontal axes and its primitives are probability distributions. This means that this function is non-negative for all abscissa values and its definite integral product in the range -∞ to +∞ is equal to 1. Apart from being called the probability density function, it is also called the probability density function or probability density function in the literature.

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a.The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b.  the probability is 0.1399.

c. the quarterback can expect to throw about 2.27 passes before completing one.

d. the probability is 0.1865.

e. the probability is 0.7349.

The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.

a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:

P(X=k) = \((1-p)^{k-1}\)×p

where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.

The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:

P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰

= 0.56²×0.44

= 0.1399

Therefore, the probability is 0.1399.

c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:

E(X) = 1/p

where p is the probability of completion on each attempt.

In this case, p = 0.44, so the expected number of passes is:

E(X) = 1/0.44

= 2.27

Therefore, the quarterback can expect to throw about 2.27 passes before completing one.

d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:

P(X > 5) = 1 - P(X <= 5)

= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]

= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]

= 0.1865

Therefore, the probability is 0.1865.

e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:

P(X ≥ 4) = 1 - P(X < 4)

where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.

Using the binomial probability distribution table or calculator, we can find:

P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]

= 0.7349

Therefore, the probability is 0.7349.

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Keegan's error is assuming that the product of the slopes of any two sides of a triangle should be -1 for the triangle to be a right triangle.

To determine if the triangle LMN is a right triangle, Keegan should instead calculate the lengths of the three sides of the triangle and check if they satisfy the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

To correct his approach, Keegan should calculate the lengths of sides LM, MN, and NL using the coordinates of the vertices and then check if the Pythagorean theorem holds true.

If the squared length of one side is equal to the sum of the squares of the other two sides, then the triangle LMN is a right triangle.

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the equation of the required line is 3xâ2y+1=3x1â2y1+1.

(i) We are given the parallel line of the given equation, that is yâ2x=0.

So, the equation of the required line will be yâ2x=c, where c is a constant.

Let the point of intersection of the two lines be (x1, y1).

Then, substituting the values of x1 and y1 in the equation yâ2x=c, we get

y1â2x1=c

or, c=y1â2x1

Hence, the equation of the required line is yâ2x=y1â2x1.

(ii) We are given the perpendicular line of the given equation, that is 2x+yâ5=0.

So, the equation of the required line will be 3xâ2y+1=c, where c is a constant.

Let the point of intersection of the two lines be (x1, y1).

Then, substituting the values of x1 and y1 in the equation 3xâ2y+1=c, we get

3x1â2y1+1=c

or, c=3x1â2y1+1

Hence, the equation of the required line is 3xâ2y+1=3x1â2y1+1.

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Answer:

7 + 3 = 10

7 + 5 = 7 + (3 + 2) = 7 + 3 + 2 = (7 + 3) + 2 = 10 + 2 = 12

Hope this helps!

\(7x \: - 12 \\ this \: is \: the \: equation\)

Answer:

is it two m plus eight m?

The two monomials whose greatest common factor is 3x are; 6x and 9x

A monomial is defined as a polynomial, that has just only one term. A monomial is also said to be an algebraic expression with just a single term but then it can have multiple variables and a higher degree as well.

Now, we want to find two monomials whose greatest common factor is 3x.

The GCF(greatest common factor) is defined as the largest number that is a factor of two or more numbers. Thus, two monomials with GCF of 3x are 6x and 9x

To know if the two monomials would have the GCF of 3x, factor the monomials to get;

6x = 2 * 3 * x

9x = 3 * 3 * x

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Two numbers that meet the condition are a = -10 and b = 2, and the quotient between these is larger than the product.

We have two numbers a and b with different sign.

Let's say that a is negative and b positive.

We know that the absolute value of a is divisible by the absolute value of b.

|a|/|b|

Then we have that |a| ≥ |b|

An example of two numbers that meet these conditions are:

a = -10

b = 2

Where:

|-10|/|2|  = 10/2 = 5

Now, the product between the integers will give a large negative number, in this case:

-10*2 = 20

and the quotient will give a smaller, in absolute value, negative number:

-10/2 = -5

Then we can see that the quotient is larger (as both are negative numbers, and the quotient is closer to zero).

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Answer:

multiplication

Step-by-step explanation:

hope this helps you!

Answer:

fusion, unification,attachment, connection etc.

Answer:

4 and 5 unsolved

Step-by-step explanation:

Answer:17/20

Step-by-step explanation: multiply the denominators by each other and then multiply the numerators by the opposite denominators and then add them both together- 4 x 5=20 1 x 5=5 3 x 4=12

5+12=17

17/20

simplest form

Answer:

Step-by-step explanation:

Take 3.1 x 2.15 and 9.8 x 1.55 for your answer. Then round to the nearest tenth for estimate.

Answer:

11,990

9% of 5500 is 495

(495+5500) [one year] x 2 [two years] = $11,990

At the end of 2 years, Aldo will owe $11,990.

Hope it helps

The equation of the line that passes through the point (-3, 7) and has a slope of -5/3 is y - 7 = (-5/3)(x + 3).

We are given the point (-3, 7) and the slope of the line as -5/3.The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.

To obtain the equation of the line, we need to substitute the values of slope and point in the slope-intercept form and solve for b.(7) = (-5/3)(-3) + b 21/3 = b.

Now we have the value of b, and we can substitute the values of m and b in the slope-intercept form.y = (-5/3)x + 21/3 is the equation of the line in slope-intercept form.

To obtain the equation in the standard form Ax + By = C, we multiply each term by 3.3y = -5x + 7Add 5x to both sides5x + 3y = 7.

This is the equation of the line in standard form.

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Let "x" represent the age of Brian.

Andrew is elder than Brian by 2 years, we can symbolize his age as "x+2"

Frank is twice as old as Andrew, we can symbolize his age as "2(x+2)"

Sarah has half the age of Brian's, we can symbolize her age as "x/2"

Frank ans Sarah's ages differ by 40 years, we can symbolize this as:

Solve the term is parenthesis

x=24 years

Andrew's age is

Andrew is 26 years old