1245 :- 14 me pueden ayudar porfa

Answer:

B. 16 and 56

Step-by-step explanation:

The greatest common factor or GCF, is the highest whole number that is a factor, or that multiplies to get, two or more numbers.

For example, option a, 8 and 28. 8 is a factor of 8, 8 times 1, but 8 is not a factor of 28. 28 divided by 8 will not give you a whole number.

Option c, 32 and 16, both have factors of 8. 4*8 is 32 and 8*2 is 16. This however, is not the gcf, because the true gcf is 16. 16*1 is 16 and 16*2 is 32. 16 will go into both evenly and is the highest number that will do so and is the gcf of that pair

d, 40 and 55, is the same as the first. 8*5 is 40, but 8 will not evenly go into 55 and cannot be a factor.

That leaves you with 16 and 56, the correct option

16 only has 3 factors, 16*1, 8*2, and 4*4, so 16, 8 and 4.

56 has more factors, 28, 14, 8, 7, 4, and 2. Those are the only numbers that multiply together to get 56. The highest number in both those lists is 8, so 8 is the Greatest Common Factor.

Hope this helps, and brainliest is much appreciated! Have an awesome day.

Answer:

x⁹

Step-by-step explanation:

Step 1: Write out expression

x⁷/x⁻²

Step 2: Rewrite

x⁷(x²)

Step 3: Simplify

x⁹

Step-by-step explanation:

Simplify: x^7/x^-2

=> x^(7+2) [∵ a^m/a^n = a^(m-n)]

=> x^9

Hope this helps!!

Answer:

-3 and 3

Step-by-step explanation:

The probability that a randomly chosen bike in the parade was a recumbent bicycle will be 5/46.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the chance is given as,

P = (Favorable event) / (Total event)

A city held a bike parade. 10 bikers rode recumbent bicycles, and 82 bikers rode other types of bicycles.

The total number of bikers is given as,

Total bikers = 82 + 10

Total bikers = 92

Then the probability is given as,

P = 10 / 92

P = 5 / 46

The probability that a randomly chosen bike in the parade was a recumbent bicycle will be 5/46.

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Answer:

24

Step-by-step explanation:

That is  what I think because 6x8x1/2=24

Answer:

For question 3 the answer is 20 minutes and for question 5 the answer is 1 hour

Step-by-step explanation:

Answer:

negative three (-3)

the answer to the problem is 6 KILA watts

Important Formula:

\(p=\dfrac{w}{t}\)

Where p is power(measured in watts), w is work(measured in joules), and t is time(measured in seconds).

\(w=60,000J\)

\(t=10s\)

\(p=?\)

____________

\(p=\dfrac{w}{t}\)

____________

\(p=\dfrac{60,000}{10}\)

____________

\(\fbox{p = 6,000 watts}\)

The standard normal random variable P(z > 2.11) = 1(1/2(1+erf(1.45))

A standard normal random variable Z has a mean of 0 and a standard deviation of 1.

P(Z > 2.11) can be found using the cumulative distribution function (CDF) of the standard normal distribution.

The CDF of the standard normal distribution is provided by:

F(z) = P(Z 2.11) we can use the complement rule:

P(Z > 2.11) = 1 - P(Z 2.11)

               = 1 - F(2.11)

               = 1 - (1/2) * (1 + erf(2.11/sqrt(2)))

               = 1 - (1/2) * (1 + erf(1.45))

Where erf is the error function.

This value can be calculated using a calculator or a standard normal table by looking up the value of erf(1.45) and subtracting it from 1/2.

Therefore, the resulting value is the probability that a standard normal random variable is greater than 2.11

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Answer:

59

Step-by-step explanation:

180-60-61= 59

hope this helps

Answer:

59 degrees

Step-by-step explanation:

It says the answer in the question.

The angles add up to 180 degrees.

60 + 61 = 121 degrees

180 - 121 = 59 degrees

Triangle DEF is congruent to triangle GHI is correct.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. A triangle having vertices A, B, and C is known as triangle ABC. Any three points in Euclidean geometry that are not collinear result in a distinct triangle and a distinct plane.

A triangle is a polygon with three edges and three vertices. A triangle's total number of angles equals 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

Equilateral, scalene, isosceles, and other triangles are used.

Given are three triangles ΔABC, ΔDEF, ΔIHG.

ΔDEF is congruent to ΔGHI as -

EF = IH (given)

∠E = ∠H (right angle)

FD = IG (given)

Using SAS congruent rule, ΔDEF ≅ ΔGHI

Therefore,  triangle DEF is congruent to triangle GHI is correct.

The complete question is : Which of the following statements are correct?

Select all that apply.

Triangle ABC is congruent to triangle DEF.

Triangle DEF is congruent to triangle GHI.

All three triangles are congruent.

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Answer:

1244 DCD

Step-by-step explanation:

Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)

Answer:

You subtract the percentages ig

Step-by-step explanation:

:3

A unit increase in gender will result in decrement of -52.73 in wage provided holding all other parameter constant.

What is parameter?

A parameter is a piece of information that an equation passes on. In terms of statistics, it means something different. In contrast to statistics, which only provide information about a small portion of the population, this value provides information about the entire population.

A parameter is constant because it was determined by surveying everyone (or everything). The average age of the students in your class, for instance, might be of interest to you. Maybe after asking everyone, you discovered that the average age was 25. Given that you polled the entire class, that qualifies as a parameter. Let's say you were curious about the median age of your grade or year.

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Answer:

12=$4.20

15=x$ crisscross

12*(x$)/15*$4.20

= 15*4.2/12=x

x=5.25$

Answer:

Step-by-step explanation:

12=4.20

15=x

x=15*4.20/12

x=63/12

x=5.25

To find the length of a side of a square with a given area, you need to take the square of side value.

The area of a square is the product of its two adjacent sides.

In other words, if you know the length of one side of a square, you can find its area by multiplying it by itself (squared). The formula for finding the area of a square is:

Area = side x side or Area = side²

So, if you have a square with an area of 16 square units, you can find the length of its sides by taking the square root of the area. This is because the square root of a number gives you the length of the side that, when multiplied by itself, gives you that number.

Using the formula, we get:

Area = side²

16 = side²

To solve for side, we need to take the square root of both sides of the equation:

√16 = √side²

4 = side

Therefore, the length of the side of the square with an area of 16 square units is 4 units.

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The slope of a line that passes through the points (1,−2) and (2,2) is 4.

The two given points are (1,-2) and (2,2).

We have to find out the slope of the line that passes through the two given points.

We know that the slope of a line passing through two points (\(x_{1} ,y_{1}\)) and (\(x_{2} ,y_{2}\)) is -

\(m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

Using this formula for the given points (1,-2) and (2,2), we can find out the slope of the line passing through them as -

\(m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\= > m = \frac{2-(-2)}{2-1}\\ = > m = \frac{4}{1}\\ = > m = 4\)

Thus, the slope of a line that passes through the points (1,−2) and (2,2) is 4.

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The distance from the pitching rubber to first base is 98.7ft, B - the distance from the pitching rubber to first base is 96.6ft and C - A pitcher must pivot to face in a 45-degree angle if he is facing home plate.

(a) To find the distance from the pitching rubber to first base, we can use the Pythagorean theorem, since the distance forms the hypotenuse of a right triangle with legs of length 80ft (the length of a side of the square) and 55.5ft (the distance from the pitching rubber to home plate along a diagonal line). Thus, we have:

distance to first base = \(\sqrt{ 80^{2} + 55.5^{2}\) =  98.7ft

(b) To find the distance from the pitching rubber to second base, we can use the fact that second base is located at a distance of 80ft from home plate along a line perpendicular to the line connecting the pitching rubber and home plate. Using the Pythagorean theorem, we have:

distance to second base = \(\sqrt{55.5^{2} + 80^{2} }\) = 96.6ft

(c) If a pitcher faces home plate, he needs to turn through an angle of 45 degrees to face second base. This is because second base is located at one corner of the square, and the angle formed by the lines connecting the pitching rubber to home plate and second base is a right angle (since the sides of the square are perpendicular).

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Answer:

The probability that one marble drawn at random is not blue is 70%

Answer:

the probability that Jack draws the blue ball is 0.38539

Step-by-step explanation:

Given the data in the question;

box contains

blue balls = 5

red balls = 8

Jim and Jack start drawing balls from the box, respectively, one at a time, at random, and without replacement

Now,

on the first attempted;

⇒ ( 8/13) × ( 5/12) = 10/39  

on the second attempt;

⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) = 14/143

on the third attempt;

⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 5/8 ) = 35/1287

on the fourth attempt;

⇒  ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 3/8 ) ( 2/7 ) ( 5/6 ) = 5/1287

so we add everything;  

⇒ 10/39 + 14/143 + 35/1287 + 5/1287

= 0.38539

Therefore, the probability that Jack draws the blue ball is 0.38539

Answer:

Step-by-step explanation:

This equation represents the relationship between the exponential functions y = e^x and y = (10^(x-1)). These two functions are equal to each other for all values of x. This can be shown by taking the natural logarithm of both sides of the equation, which gives us:

ln(e^x) = x-1

In this equation, ln(e^x) is equal to x, since the natural logarithm of an exponential expression with a base of e is the exponent. Therefore, we can simplify the equation by taking the natural logarithm of both sides:

ln(10^(x-1)) = x-1

e^(x-1) = 10^x

The two functions e^x and 10^(x-1) are the same function with different bases, so they follow the same pattern. The fact that these two functions are equal to each other for all values of x can also be shown by graphing the two functions and seeing that they overlap perfectly.

Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.

Answer:

3 on the edge

Step-by-step explanation:

The required probability is 0.970 (approx.) or 97/100 (in fraction).

Given that 69% of people in a large population have been vaccinated. We are required to determine the probability of at least one person being vaccinated if three people are randomly selected. Let's solve it using the complement rule.

The complement rule states that the probability of an event occurring is equal to 1 minus the probability of that event not occurring. That is, if A is an event, then P(A) = 1 - P(A').

We can solve the given problem using the complement rule as follows: Let P(A) be the probability of at least one person being vaccinated.

Then, the probability of no one being vaccinated is P(A') = (100 - 69) = 31%.

To find the probability of at least one person being vaccinated, we can subtract the probability of none of them being vaccinated from 1. That is, P(A) = 1 - P(A') = 1 - 0.31 × 0.31 × 0.31 = 1 - 0.029791 = 0.97021.

Hence, the probability of at least one person being vaccinated if three people are randomly selected is 0.97021 (rounded to 3 decimal places).

Therefore, the required probability is 0.970 (approx.) or 97/100 (in fraction).

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Answer:

They are equivalent

Step-by-step explanation:

Since 3.75 divided by 5 is .75 that means that 6 divided by 8 would have to also be .75 which, if you divide it, it is.

Answer:

The rates are equivalent

Step-by-step explanation:

To find the unit cost you divide the price by the number of units

3.75÷5=0.75

6.00÷8=0.75

To determine whether or not the rates are equivalent, compare the unit costs

0.75=0.75

Therefore, the rates are equivalent

Hope this was helpful :)

The number of strides the runner will make during 1 hour run will be =

10,800.

To calculate the distance or number of strides made by the runner in an

hour, the graph given above is considered as follows;

The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.

From the graph

20 minutes= 3600 strides

60 minutes = X strides

make X the subject of formula;

x= 3600×60/20

= 216000/20

= 10,800

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