Los Juegos Olímpicos de la Juventud 2018 se realizados en Argentina, en octubre, con jóvenes atletas de alto rendimiento entre 15 y 18 años. Ese año participaron 3990 atletas de diferentes partes del mundo, en 32 deportes olímpicos. Si la participación de mujeres respecto de hombres estuvo a razón 2:3, ¿cuántas mujeres participaron durante los juegos?

Answers

Answer 1

Answer:

1596 atletas

Step-by-step explanation:

Si la participación de mujeres en comparación con los hombres fue de 2: 3, ¿cuántas mujeres participaron durante los juegos?

Ese año 3990 deportistas

Mujeres : Hombres

2: 3

2 + 3 = 5

Mujeres :

2/5 × 3990 atletas

= 1596 atletas

El número de mujeres que participaron durante los juegos es 1596 atletas


Related Questions

what is the density of the rock???!!!!!!!!!!

what is the density of the rock???!!!!!!!!!!

Answers

Answer:

he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).

Step-by-step explanation:

most are in range 3.0-3.7g/cm^3


What else would need to be congruent to show that ASTU AJKL by SAS?

What else would need to be congruent to show that ASTU AJKL by SAS?

Answers

The missing information for the SAS congruence theorem is given as follows:

B. SU = JL.

What is the Side-Angle-Side congruence theorem?

The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.

The congruent angles for this problem are given as follows:

<S and <J.

Hence the proportional side lengths are given as follows:

ST and JK -> given.SU and JL -> missing.

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Do I add all the cost up then divide by four?

Do I add all the cost up then divide by four?

Answers

Answer:

Yeh that's what you have to do.....

Divide the total amount by four

Answer:

yes

Step-by-step explanation:

solve the equation 5(x-3) = 11 -3 (x-2)

Answers

Answer:

x = 4

Step-by-step explanation:

5 multiplied by x and 5 multiplied by -3

5x - 15 = 11 -3(x - 2)

-3 multiplied by x and -3 multiplied by -2

5x - 15 = 11 - 3x + 6

Add 15 to both sides

5x = 26 - 3x + 6

Add 3x to both sides

8x = 26 + 6

Add 26 + 6

8x = 32

Divide 32 by 8

x = 4

One hundred students from a large university were asked about their opinion on the new health care program. The 100 represents statistical inference data and statistics a sample a population

Answers

The 100 students from a large university represent a sample.

In statistics, a sample is a subset of individuals or observations taken from a larger group known as the population. The purpose of taking a sample is to make inferences and draw conclusions about the population based on the characteristics observed in the sample.

In this scenario, the 100 students from a large university who were asked about their opinion on the new health care program represent a sample. The sample is a smaller group of individuals selected from the larger population of all students at the university. The intention is to gather insights and information about the opinions of the broader population based on the responses obtained from the sample. Statistical inference techniques can be applied to analyze the data collected from the sample and make conclusions or predictions about the entire population.

It is important to note that the sample should be representative of the population to ensure that the conclusions drawn from the sample can be generalized to the larger population accurately. The process of selecting a sample and conducting statistical analyses is an essential part of studying and understanding populations using data and statistics.

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PLSSS HELP IF YOU TURLY KNOW THISS

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

I believe that is the diameter.

Answer:

C. Diameter

Step-by-step explanation:

Circumference: The distance around the edge outside of the circle.

Diameter: The distance across the circle that goes through the center.

Radius: The distance halfway across the circle, which is half the diameter.

Center: The point or dot in the middle of a circle.

While Jon is walking to school one morning, a helicopter flying overhead drops a $20 bill. Not knowing how to return it, Jon keeps the money and deposits it in his bank. (No one in this economy holds currency.) If the bank keeps 25 percent of its money in reserves: a. How much money can the bank initially lend out? Instructions: Round your response to two decimal places. $ b. After these two initial transactions, by how much is the money in the economy changed? Instructions: Round your response to two decimal places. $ c. What's the money multiplier? Instructions: Round your response to one decimal place. d. How much money will eventually be created by the banking system from Jon's $20 ? Instructions: Round your response to two decimal places. $

Answers

a. The bank can initially lend out $15.00.

b. The money in the economy changes by $20.00.

c. The money multiplier is 4.

d. Eventually, $80.00 will be created by the banking system from Jon's $20.00.

Let us analyze each section separately:

a. To calculate the amount of money the bank can initially lend out, we need to determine the bank's reserves.

Given that the bank keeps 25% of its money in reserves, we can find the reserves by multiplying the deposit amount by 0.25.

In this case, the deposit amount is $20.00, so the reserves would be $20.00 * 0.25 = $5.00. The remaining amount, $20.00 - $5.00 = $15.00, is the money that the bank can initially lend out.

b. When Jon deposits the $20.00 bill into the bank, the money in the economy remains unchanged because the physical currency is converted into a bank deposit. Therefore, there is no change in the total money supply in the economy.

c. The money multiplier determines the overall increase in the money supply as a result of fractional reserve banking. In this case, the reserve requirement is 25%, which means that the bank can lend out 75% of the deposited amount.

The formula to calculate the money multiplier is 1 / reserve requirement. Substituting the value, we get 1 / 0.25 = 4.

Therefore, the money multiplier is 4.

d. To calculate the amount of money created by the banking system, we multiply the initial deposit by the money multiplier. In this case, Jon's initial deposit is $20.00, and the money multiplier is 4.

So, $20.00 * 4 = $80.00 will be created by the banking system from Jon's $20.00 deposit.

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What is the length of RS?

What is the length of RS?

Answers

if it congruent then it's 6 ft

7 foot is the answer

The ratio of the number of boys to the number of girls at your school is 5 to 8. Which statements are accurate according to this ratio?

a. If a class has 16 girls it is reasonable to expect there are approximately 10 boys in the same class.
b. In a group of 52 students about 20 are boys.
c. The ratio of girls to total students is 8 to 13.
d. The Algebra class has 24 girls and 16 boys. This is the same ratio as girls to boys in the school.
e. If there are 208 students in the school it is reasonable to expect there are 128 girls.

Please help!!

Answers

The ratio of the number of boys to the number of girls at your school is 5 to 8. Which statements are accurate according to this ratio?

The ratio of number of boys to girls is \(\frac{5}{8}\). That means:

\(\frac{boys}{girls} =\frac{5}{8}\)

Let's look at the first choice.

a. If a class has 16 girls, it is reasonable to expect there are approximately 10 boys in the same class.

Make the amount as a fraction with boys over girls.

\(\frac{boys}{girls} =\frac{10}{16}\)

10 and 16 can be simplified. The greatest common factor of 10 and 16 is 2, so divide by 2.

\(\frac{boys}{girls} =\frac{10 \div 2}{16 \div 2} =\frac{5}{8}\)

Since the ratio is the same, choice a is correct.

Let's move onto the second choice.

b. In a group of 52 students, about 20 are boys.

If 20 students are boys, then the amount of girls is equal to 52 - 20, which is 32. Make the amount as a fraction with boys over girls.

\(\frac{boys}{girls} =\frac{20}{32}\)

20 and 32 can be simplified. The greatest common factor of 10 and 16 is 4, so divide by 4.

\(\frac{boys}{girls} =\frac{20 \div 4}{32 \div 4}=\frac{5}{8}\)

Since the ratio is the same, choice b is correct.

Let's go to the third choice.

c. The ratio of girls to total students is 8 to 13.

If the ratio of girls to total students is 13, that means there are 8 girls. The number of boys can be found by subtracting 8 from 13, which is 5. Make the amount as a fraction with boys over girls.

\(\frac{boys}{girls} =\frac{5}{8}\)

Since the ratio is the same, choice c is correct.

Let's go to the fourth choice.

d. The Algebra class has 24 girls and 16 boys. This is the same ratio as girls to boys in the school.

Make the amount as a fraction with boys over girls.

\(\frac{boys}{girls} =\frac{16}{24}\)

16 and 24 can be simplified. The greatest common factor of 16 and 24 is 8, so divide by 8.

\(\frac{boys}{girls} =\frac{16 \div 8}{24 \div 8} =\frac{2}{3}\)

Since the ratio is not the same, choice d is not correct.

Lastly, the fifth choice.

e. If there are 208 students in the school, it is reasonable to expect there are 128 girls.

If there are 128 girls out of 208 students, the number of boys can be found by subtracting the number of girls from the amount of total students. 208 - 128 is 80, so there are 80 boys. Make the amount as a fraction with boys over girls.

\(\frac{boys}{girls} =\frac{80}{128}\)

80 and 128 can be simplified. The greatest common factor of 80 and 128 is 16, so divide by 16.

\(\frac{boys}{girls} =\frac{80 \div 16}{128 \div 16}=\frac{5}{8}\)

Since the ratio is the same, choice e is correct.

choice a ✔

choice b ✔

choice c ✔

choice d x

choice e ✔

Your answer is choice a, b, c, and e.

Which expression is not equivalent to -3x + 24? Select all that apply.

A. -3(x - 8)
B. -(3x + 24)
C. 3/2(-2x + 16)
D. -1/3( 9x + 8)
E. 6(-1/2x - 4)
F. 8(-3/8x + 3)

Answers

Answer:

B, D, and E

Step-by-step explanation:

You'll have to distribute each and put them into a full equation again.

A. -3x + 24

B. -3x - 24

C. -3x + 24

D. -3x - 8/3

E. -3x - 24

F. -3x + 24

I bolded the ones that did not equal -3x + 24

so your answer is B, D, and E

On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities.10.38 9.08 11.7 6.4 12.32 14.43 15.4610.02 14.4 16.08 17.5 19.08 17.88 12.7516.7 17.25 15.54 14.7 18.81 17.89 14.818.32 15.95 26.75 22.22 22.66 20.88 23.3518.95 23.6 19.16 23.65 27.7 26.95 27.0426.89 24.58 37.76 26.41 38.91 29.36 41.55(a)Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.)H0:Ha:(b)What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.)What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.)(c)At α = 0.05, can your null hypothesis be rejected? What is your conclusion?Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.(d)Repeat the preceding hypothesis test using the critical value approach.State the null and alternative hypotheses. (Enter != for ≠ as needed.)H0:Ha:Find the value of the test statistic. (Round your answer to three decimal places.)State the critical values for the rejection rule. Useα = 0.05.(Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)test statistic≤test statistic≥State your conclusion.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.

Answers

The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .

The charge at which anything happens is referred to as the velocity at which it happens.

The required details for mean rate :

(a) H0: µ = 21.62

Ha: µ ≠ 21.62

(b) t = -1.231

p-value = 0.2253

(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.

(d) H0: µ = 21.62

Ha: µ ≠ 21.62

t = -1.231

check statistic ≥ 2.020

Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.

The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.

The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.

The crucial values for t at this level of significance are t=2.019.

Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.

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how many ways are there of choosing 5 books from a shelf of 12, if you cannot choose two adjacent books?

Answers

There are 462 ways to choose 5 books from a shelf of 12, if you cannot choose two adjacent books.

To solve this problem, we can use a technique called "complementary counting." First, let's find the total number of ways to choose 5 books from a shelf of 12. This is simply 12 choose 5, which is:
12! / (5! × 7!) = 792
Now, let's count the number of ways to choose 5 books from a shelf of 12 where two adjacent books are chosen. We can do this by treating the adjacent books as a single unit, and then choosing 4 more books from the remaining 11. This gives us:
11 choose 4 = 330
So, there are 330 ways to choose 5 books from a shelf of 12 where two adjacent books are chosen.
Finally, we can subtract this number from the total number of ways to choose 5 books to get the number of ways to choose 5 books where no two adjacent books are chosen:
792 - 330 = 462
Therefore, there are 462 ways to choose 5 books from a shelf of 12, if you cannot choose two adjacent books.

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Richard’s cumulative gpa for 3 semesters was 2. 0 for 42 credits. His fourth semester gpa was 4. 0 for 14 course units. What is richard’s cumulative gpa for all 4 semesters?.

Answers

Richard earned a cumulative GPA of 2.5 in all four semesters.

Here, we know that the cumulative GPA for the first 3 semesters is 2.0

He had earned 42 credits in total in all three semesters.

Cumulative GPA = Total points earned/credits rewarded

Hence,

Total points earned in 3 semestes= 2 X 42

= 84 points

In the fourth semester,

he had earned 14 credits with a GPA of 4.0

Hence total points earned = 4 X 14

= 56 points

Therefore, total points earned in all four semesters = 84 + 56 points

140 points

Total credits = 14 + 42

= 56

Hence, the cumulative GPA of all 4 semesters

= 140/56

= 2.5 points.

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Lance bought 15 sets of 3 tennis balls. Some of the tennis balls, t, were lost during each of the 4 matches he played. Now, the are 37 tennis balls left. Which equation represents this situation?

Lance bought 15 sets of 3 tennis balls. Some of the tennis balls, t, were lost during each of the 4 matches

Answers

Beg bbnbbbbbbbhhhhyyy

Helppp!!!!!!!!!!!!!!!!!!!!!

Helppp!!!!!!!!!!!!!!!!!!!!!

Answers

The value of x is equal to 15°

How to determine the value of x?

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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How do you write 3.37 as a percentage?

Answers

Answer:

Step-by-step explanation:

What is 3.37 as a percent?

To write 3.37 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % .

3.37 * 100 = 337%

And finally we have:

3.37 as a percent equals 337%

Answer:

337%

Step-by-step explanation:

3.37x100=337

When Karen went to bed, there were 234 birds on the lake. When she woke up in the morning, there were 751 birds on the lake. How many birds landed on the lake overnight?
please help

Answers

Answer:

517 birds

Step-by-step explanation:

Subtract 234 from 751, to find how many birds landed on the lake overnight.

Ahora elaboramos un cuadro y mencionamos dos ejemplosde diversidad en las personas y dos ejemplos de bien común en la sociedad

Answers

Diversity in People can be seen in terms of:

EthnicityGender

What is the diversity in people?

In terms of Ethnicity,  people from various ethnic traditions bring a rich tapestry of sophistications, traditions, and outlooks to society. Access to Healthcare: Ensuring all has access to value healthcare improves the health and comfort of individuals, offspring, and communities.

In terms of Gender, embracing neutral diversity helps promote equal time for all genders in various fields and fights feminine-based bias. : Providing access to instruction for all members of society, although socio-economic rank, etc.

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See text below

Now we make a table and mention two examples of diversity in people and two examples of common good in society

Ahora elaboramos un cuadro y mencionamos dos ejemplosde diversidad en las personas y dos ejemplos de

Can someone do this please asap

Can someone do this please asap

Answers

Answer:

f=180-(61+87)

=180-148

=32

e=f=32

e=32

d=180-(87+32)

=61

Five possibilities are equally likely and have payoffs of $2, $4, $6, $8, and $10. the expected value is:____.
a. ​$4
b.​$5
c. ​$6
d. ​$7

Answers

The expected value for the given Five possibilities is $6.

We have,

Payoffs of $2, $4, $6, $8, and $10.

Now,

We know that,

The expected value  \(=\Sigma (x*P(x))\)

i.e. The sum of product of possible outcome and each outcome.

Here, x = Each outcome

And

P(x) = Possible outcomes

So,

Probability of x (Px) \(=\frac{1}{5}\),

Now,

According to the above mentioned formula,

i.e.

The expected value  \(=\Sigma (x*P(x))\)

We get,

\(=\Sigma\ (\frac{1}{5} * 2) + (\frac{1}{5} * 4) + (\frac{1}{5} * 6) +(\frac{1}{5} * 8) +(\frac{1}{5} * 10)\)

On solving we get,

\(=\Sigma\ (0.4 + 0.8 + 1.2 + 1.6 + 2)\)

i.e.

The expected value = $6

So,

The expected value for given possibilities is $6.

Hence we can say that the expected value for the given Five possibilities is $6.

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If the measure of angle 2 is 8x 0 and the measuure of angle 6 is x^2-38 what is the measure of angle 8?

Answers

The measure of angle 8 is 83 degrees.

To find the measure of angle 8, we need to use the properties of parallel lines and transversals.

Based on the given information, angle 2 and angle 6 are corresponding angles because they are on the same side of the transversal line and are congruent.

So, we can set up an equation to find the value of x. We know that angle 2 is equal to 8x and angle 6 is equal to x^2 - 38.

Setting them equal to each other, we get:

\(8x = x^2 - 38\)

Rearranging the equation, we have:

\(x^2 - 8x - 38 = 0\)

Now, we can solve this quadratic equation for x.

Using factoring, quadratic formula, or completing the square, we find that x = -3 or x = 11.

Since angle measurements cannot be negative, we can discard -3 as a solution. Therefore, x = 11.

To find the measure of angle 8, we substitute x = 11 into the equation for angle 6:

angle \(6 = x^2 - 38\)

\(= (11)^2 - 38\)

= 121 - 38

= 83

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whats the answer to 2c + 9 = 27

Answers

Ans

c=9

Step-by-step explanation:

2 x 9 = 18 +9 = 27

The answer to the question is 2(9)+9=27 I hope this helps!

Problem : PRAEMOP9
Cizre purchased some salted almonds at $6 a pound and some dried figs at $9 per pound. She spent $75 before tax.
If she bought 1 pound of figs, how many pounds of almonds did she buy?




Answers

Answer:

Cizre bought 11 pounds of almond

Step-by-step explanation:

In order to solve this problem, we can first subtract the total Cizre spent, $75, by how much she spent on figs, which is $9 because she only bought a pound:

75 - 9 = 66

So, she spent $66 on almonds, but that isn't what the question is asking. Using this information, all we have to do now is divide the total spent on almonds by the unit price per pound of the almonds:

66 / 6 = 11

And our answer is: Cizre bought 11 pounds of almonds, which seems like way too much for me but I guess Cizre just really likes almonds!

Hope this helps! :)

Esmeralda draws a scale drawing of a rectangular community garden she helps manage. The scale factor from the drawing to the garden is 20. Based on the measurements of Esmeralda's drawing, what is the perimeter of the community garden

Answers

The perimeter of the rectangular community garden, after the size has been altered by a factor of 20, is 130 feet.

In two-dimensional shapes, a perimeter is defined to be a closed path that surrounds or outlines a shape. The perimeter of a circle or an ellipse though is called the circumference.

The perimeter P of a rectangle is equal to two times the length l plus two times the width w [P = 2(l + w)]. The length and the width of the rectangular community garden are consecutively 2,25 and 1 feet, and the scale factor is 20.

Therefore, the perimeter of the community garden is

P = 2(l + w) · 20

P = 2(2,25 + 1) · 20

P = 6.5 · 20

P = 130 feet.

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Esmeralda draws a scale drawing of a rectangular community garden she helps manage. The scale factor

Answer:

130 feet

Step-by-step explanation:

Help pleaseeee NO LINKSSSS

Help pleaseeee NO LINKSSSS

Answers

Answer:

Step-by-step explanation:

Radius=r. Diameter=d. C=circumference. A=area

Starting from the center of the circle any line drawn to any point on the circumference of the circle is the radius, if the line is drawn from one point on the circumference to another point on the circumference through the centre of the circle that is the diameter. The circumference of the circle is the perimeter of the circle.

Formulas;

r=d÷2

C=2πr

A=πr²

π=\(\frac{22}{7}\) or 3.142

4).

a.)r=d÷2

=4.8cm÷2

=2.4cm

b.)d=4.8cm

c.)C=2πr

=2×3.142×2.4cm

=15.08cm

d.) A=πr²

=3.142×(2.4)²

=3.142×5.76

=18.09cm² or 18.1cm²

5.

a.)r=d÷2

=7÷2

=3.5cm

b.)d=7cm

c.)C=2πr

=2×3.142×3.5

=21.99cm or 21.1cm

d.)A=πr²

=3.142×(3.5)²

=3.142×12.25

=38.49cm²

6.)

a.)r=d÷2

=14÷2

=7cm

b.)d=14cm

c.)C=2πr

=2×3.142×7

=43.99cm

d.)A=πr²

=3.142×(7)²

=3.142×49

=153.96cm²

the water content of soil from an excavation site is normally distributed with a mean of 14.2% and a standard deviation of 2.3%. what is the probability that a sample taken from the site will have water content above 12% and below 16%?

Answers

The probability that a sample taken from the site will have water content above 12% and below 16% is 0.6102.

To calculate the probability that a sample taken from the excavation site will have water content above 12% and below 16%, we need to find the proportion of the normal distribution that falls between those two values.

First, we need to standardize the values by subtracting the mean and dividing by the standard deviation.

The value of 12% will be standardized as (12-14.2)/2.3 = -0.9565 and,

the value of 16% will be standardized as (16-14.2)/2.3 = 0.7826.

Using a standard normal table, we can find the probability that a standard normal variable is less than -0.9565 and 0.7826

The probability that Z < -0.9565 is approximately 0.1687

The probability that Z < 0.7826 is approximately 0.7789

Therefore, the probability that a sample taken from the excavation site will have water content above 12% and below 16% is:

P(12 < X < 16) = P(Z < 0.7826) - P(Z < -0.9565) = 0.7789 - 0.1687 = 0.6102 or 61.02%

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Solve for the unknown angle measure θ.

A. θ=112.5
B. θ=120
C. θ=144
D. θ=150

Solve for the unknown angle measure .A. =112.5B. =120C. =144D. =150

Answers

Solution:-

In the given polygon-

>>Two of the angles are of 90⁰

The sum of all angle in n-sided polygon is given by -

\(\green{ \underline { \boxed{ \sf{(n-2)\times180}}}}\)

Here number of sides,n = 8

So ,the sum of all angle = \(\sf (8-2)\times 180\)

\(\sf \implies 6 \times 180\)

\(\sf \implies 1080 \degree\)

>>Since two of the angles are of 90⁰ ,let's subtract them from total angle sum to get angles in term of \(\theta\) only.

\(\implies \sf 1080- 2\times 90\)

\(\implies \sf 1080- 180\)

\(\implies \sf 900 \degree \)

Now, Sum of remaining 6 angles = 6\(\theta\)

Also, 6\(\theta\) = 900⁰

\(\theta = \dfrac{900}{6}\)

\(\theta = 150 \degree\)

Answer:

heya ^^

let's first see what the question says -

so , we're given an octagon and the figure states that two of the angles of the octagon are of measure 90°.

while , rest of the angles have been named \( \bold{\theta }\) and this thing clears that all the other angles are of equal measure.

now , angle sum property of octagon states that the sum of all the angles of an octagon equals 1080.

therefore ,

\(\bold{90 \degree + 90 \degree + \theta+ \theta+ \theta+ \theta+ \theta+ \theta = 1080 \degree }\\ \\ 180\degree + 6\theta = 1080\degree \\ \\ 6\theta = 1080\degree - 180\degree \\ \\ 6\theta = 900\degree \\ \\ \theta = \frac{900}{6} \\ \\ \underline\bold\pink{\: \theta = 150\degree}\)

therefore ,

option ( D ) θ=150 is correct.

hope helpful :D

What is the equation of the line that passes through the point (−6,4) and has a slope of negative 5 over 6

Answers

Answer:

y = -5/6x -1

Step-by-step explanation:

The three components needed to create the equation of a line are: the x and y coordinates, the slope, and the y intercept.

Both the x and y coordinates and the slope is given. To find the y intercept, we will create an equation following the template of point-slope form.

y = slope * x + y int.

4 = -5/6 * -6/ + y int.

4 = 5 + y int.

y int. = -1

We will reinstate this into our equation, and this will be our answer!

y = -5/6x -1

This is the equation!

In Tina's math class, there are 12 boys and 15 girls which of the following is the ratio of boys to girls in Tina's class

a. 12/17
b. 15/12
c. 12/15
d. 27/12

Answers

Answer:

C. 12:15 or 12/15

Step-by-step explanation:

There are 12 boys in the class and 15 girls.

The question asks for boys to girls.

12 boys: 15 girls is the same as saying 12:15, 12/15, or 12 boys to 15 girls in Tina's class.

You have to pay attention to the order in which the question asks for because 15:12 is NOT the same thing as 12:15. (15:12 ≠ 12:15)

What are the x-intercepts of the graph of the function below?
y= x^2+3x – 28
A. (6,0) and (4,0)
B. (-7,0) and (-4,0)
C. (7,0) and (-4,0)
D. (-7,0) and (4,0)

Answers

I think the answer is B
The answer is D
I did the math
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