A story in the National Enquirer claimed that women who skip breakfast are more likely to give birth to baby girls, whereas women who eat breakfast are more likely to have baby boys. A skeptical researcher tested this by taking a sample of pregnant women who already knew the gender of their baby and asking them whether they ate breakfast each day or not. What are the odds of having a boy if you eat breakfast

Answer:

27.27% of the students with scolarship are seniors.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has scolarship

Event B: Is a senior

15% are senior, and of those, 40% have scolarship. So

\(P(A \cap B) = 0.15*0.4 = 0.06\)

Probability of a scolarship:

15% of 40%(seniors)

30% of 25%(juniors)

20% of 25%(sophmores).

10% of 35%(freshmen). So

\(P(A) = 0.15*0.4 + 0.3*0.25 + 0.2*0.25 + 0.1*0.35 = 0.22\)

Percentage:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.22} = 0.2727\)

0.2727*100 = 27.27%

27.27% of the students with scolarship are seniors.

6 kiloliters are approximately equal to 202,884.14 fluid ounces.

We have,

To convert 6 kiloliters (kL) to fluid ounces (fl oz), we need to use the conversion factor between these two units.

The conversion factor states that 1 kiloliter is equal to 33814.0227 fluid ounces.

This means that for every kiloliter, there are 33814.0227 fluid ounces.

To convert 6 kiloliters to fluid ounces, we multiply the given value (6 kL) by the conversion factor (33814.0227 fl oz/kL).

= 6 kL x 33814.0227 fl oz/kL

= 202884.1362 fl oz

Therefore,

6 kiloliters are approximately equal to 202,884.14 fluid ounces.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ1

The retail selling price of the keyboard is $43.75.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

To find the retail selling price of the keyboard, we need to add the markup to the cost of the keyboard.

The markup of 150% means that the retailer is adding 150% of the cost to the selling price.

To calculate this, we can first find the dollar amount of the markup:

Markup = 150% of $25

Markup = 0.5 * 150 * $25

Markup = $18.75

This means that the retailer is adding $18.75 to the cost of the keyboard to get the selling price. To find the selling price, we can add the markup to the cost:

Selling price = Cost + Markup

Selling price = $25 + $18.75

Selling price = $43.75

Therefore, the retail selling price of the keyboard is $43.75.

To know more about percentage visit:

https://brainly.com/question/24877689

#SPJ1

Answer:

Step-by-step explanation:

w

Answer:

the second one is the closest

Step-by-step explanation:

Answer:

Solution given;

<M=5x+10

<R=55

<M+<R=90°

5x+10+55=90°[is a required equation]

now solving it

5x=90-65

5x=25

x=25/5

x=5is your answer.

Their sum is 90

Solve it

The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

More can be learned about rational functions at brainly.com/question/1851758

#SPJ1

Cos 45 = 7/x

0.707 = 7/x

x= 9.9

sin 45= 7/x

0.707= 7/x

x = 9.9

Answer:

3(3+4) IS NOT EQUAL TO 3^3

Step-by-step explanation:

3(3+4)

Expand brackets to get 21 (3x3 = 9, 3x4 = 12, 9 + 12 = 21)

3^3 = 3 x 3 x 3

3x3 = 9

9 x 3 = 27

21 < 27

The ratio of 4:1 for the coed soccer team signifies that for every 4 boys on the team, there is 1 girl, emphasizing the relative comparison between the number of boys and girls rather than their absolute quantities.

The ratio of 4:1 indicates that for every 4 boys on the coed soccer team, there is 1 girl. This ratio describes the relative comparison of the number of boys to the number of girls on the team.

To understand the ratio better, let's consider an example. Suppose there are 8 boys on the team. According to the given ratio, the number of girls on the team would be 1/4 of the number of boys. So, 1/4 of 8 boys is 2 girls. Therefore, in this scenario, there are 8 boys and 2 girls on the team, maintaining the 4:1 ratio.

In general, if we have x boys on the team, the number of girls would be 1/4 of x, resulting in x/4 girls. This ensures that the ratio of boys to girls remains 4:1.

The ratio can also be expressed as a fraction. In this case, it would be 4/1, which can be simplified to 4. This means that for every 4 parts of boys, there is 1 part of girls. The total number of parts in this ratio is 4+1=5, where 4 parts represent boys and 1 part represents girls.

It's important to note that the ratio does not provide the actual number of boys and girls on the team but rather the relationship between them. The actual number of boys and girls can vary as long as the ratio of 4:1 is maintained.

In summary, the ratio of 4:1 for the coed soccer team signifies that for every 4 boys on the team, there is 1 girl, emphasizing the relative comparison between the number of boys and girls rather than their absolute quantities.

for more such question on ratio visit

https://brainly.com/question/12024093

#SPJ8

The area of the outer rectangle is 15 in²

The area of the smaller cut out rectangle is 2 in²

The area of the figure is 13 in².

Area is the region bounded by a plane shape.

To calculate the area of the shape, we use the formula below

Where:

Substitute these values into equation 2

Also,

To calculate the area of the smaller cut out rectangle, we use the formula below

Where:

Substitute these values into equation 2

Hence, the area of the figure is = 15-2 = 13 in²

Learn more about area here: https://brainly.com/question/28470545

#SPJ1

The equation is correct, and the value on both sides of the equation is 40.

To verify if the equation 90 × 4/9 = 40 is true, we can perform the calculation on both sides and compare the results.

On the left side of the equation:

90 × 4/9 = (90 × 4) / 9 = 360 / 9 = 40

On the right side of the equation:

40

Both sides of the equation evaluate to 40, which means they are equal. Therefore, the equation 90 × 4/9 = 40 is indeed true.

In summary, the equation is correct, and the value on both sides of the equation is 40.

To learn more about equation :

https://brainly.com/question/17145398

#SPJ11

As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

For a normally distributed data set with a mean of 0 and a standard deviation of 0.5, the proportion of values between -1 and 1 is most closely related to 68%.

Approximately 68% of the data in a normal distribution lies within one standard deviation of the mean, which explains why. One standard deviation below the mean is -0.5, and one standard deviation above the mean is 0.5 since the mean is 0 and the standard deviation is 0.5. As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

Learn more about determining the percentage at https://brainly.com/question/24877689.

#SPJ1

Answer:

Is there supposed to be a picture?

Answer: 0

Step-by-step explanation:

11 + 11= 22

22 is rounded to the nearest hundredth, which is not 100, so its 0

During the morning rush hour, there are 6,400 junior and high school students, 3,400 adults, and 5,800 senior citizens riding the subway.

Let's assume the number of junior and high school students riding the subway during the morning rush hour is J, the number of adults is A, and the number of senior citizens is S.

From the given information, we can set up a system of equations based on the number of riders and the revenue generated.

Equation 1: J + A + S = 15,600 (total number of riders)

Equation 2: 1.04J + 2.20A + 1.04S = 32,464 (revenue equation with original ticket prices)

Equation 3: 1.24J + 2.60A + 1.04S = 38,264 (revenue equation with new ticket prices)

We can start by subtracting Equation 2 from Equation 3 to eliminate the J and S terms:

0.2J + 0.4A = 3,800

Next, we can multiply Equation 1 by 0.2 and subtract it from the above equation to eliminate the J term:

0.4A - 0.2J - 0.2A = 3,800 - 3,120

0.2A = 680

A = 680 / 0.2 = 3,400

Now, we can substitute the value of A back into Equation 1 to find the values of J and S:

J + 3,400 + S = 15,600

J + S = 15,600 - 3,400

J + S = 12,200

We have two equations with two variables (J + S = 12,200 and 1.04J + 1.04S = 12,264). By solving these equations simultaneously, we find J = 6,400 and S = 5,800.

Therefore, during the morning rush hour, there are 6,400 junior and high school students, 3,400 adults, and 5,800 senior citizens riding the subway.

For more questions on revenue , click on:

https://brainly.com/question/30760779

#SPJ8

To find the number of subway riders in each category, we set up a system of equations based on the total number of passengers and the total revenue. Solving this system will give us the number of junior and high school students, adults, and senior citizens. The number of riders doesn't change with the increase of ticket prices.

To solve this problem, we set up a system of equations based on the information given in the question.

Let's denote the number of junior and high school students as J, adults as A, and senior citizens as S. We know that there's total of 15,600 passengers, so:

J + A + S = 15,600

We also know that the total revenue was $32,464. Given the ticket prices for each group, we can write:

$1.04J + $2.20A + $1.04S = $32,464

Solving this system of equations (possibly with the help of a calculator or computer software), we can find the number of riders in each category.

The number of riders for each category would only change if the number of riders changes, not the price of the tickets, so when the prices increase, the number of riders remains the same.

https://brainly.com/question/21620502

#SPJ2

9514 1404 393

Answer:

  40°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  (6x)° +x° +(2x)° = 180°

  9x = 180

  x = 20

  ∠B = (2·20)° = 40°

The given quadrilaterals, 1 and 2,  are parallelograms because the pair of opposite sides are parallel and the other pairs are congruent.

3. According to Theorem 7.9, quadrilateral ABCD is a parallelogram.

4. According to Theorem 7.12, quadrilateral PQRS is a parallelogram.

3. Quadrilateral ABCD with vertices A(0,0), B(7,1), C(5,6), D(-2,5), and Theorem 7.9:

Theorem 7.9 states that if the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Using the distance formula, we can calculate the lengths of the sides of quadrilateral ABCD:

AB = √((7 - 0)² + (1 - 0)²) = √50

BC = √((5 - 7)² + (6 - 1)²) = √29

CD = √((-2 - 5)² + (5 - 6)²) =√50

DA = √((0 - (-2))² + (0 - 5)²) = √29

We can see that AB = CD and BC = DA, indicating that the opposite sides are congruent.

Quadrilateral PQRS with vertices P(-2,0), Q(3,1), R(4,4), S(-1,3), and Theorem 7.12:

Theorem 7.12 states that if both pairs of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram.

Using the slope formula, we can calculate the slopes of the sides of quadrilateral PQRS:

Slope of PQ = (1 - 0) / (3 - (-2)) = 1/5

Slope of RS = (4 - 3) / (4 - (-1)) = 1/5

Slope of QR = (4 - 1) / (4 - 3) = 3

Slope of SP = (3 - 0) / (-1 - (-2)) = 3

The lengths of opposite sides can be calculated using the distance formula:

PQ = √((3 - (-2))² + (1 - 0)²) = √(25 + 1) = √26

RS = √((4 - 4)² + (4 - 1)²) = √(9) = 3

QR = √((4 - 3)² + (4 - 1)²) = √(1 + 9) = √10

SP = √((-1 - (-2))² + (3 - 0)²) = √(1 + 9) = √10

We can see that PQ = RS and QR = SP, indicate that the opposite sides are parallel and congruent.

Learn more about parallelograms at: https://brainly.com/question/20526916

#SPJ1

Answer:

3) is the answer

d + e = 1 x 1

- d + e = -5 x 1

d. + e = 1

-

-d. + e = -5

2d= 6

d = 3

e= 1-3

= -2

Answer:

x = 4

Step-by-step explanation:

If A is parallel to B, therefore,

9x + 4 = 5x + 20 (alternate interior angles are congruent)

9x + 4 - 5x = 5x + 20 - 5x (subtraction property of equality)

4x + 4 = 20

4x + 4 - 4 = 20 - 4 (subtraction property of equality)

4x = 16

4x/4 = 16/4 (division property of equality)

x = 4

Answer:

y=23,500

Step-by-step explanation:

General form for an exponential equation

                            y = ab^{x - h} + k y=ab

                             or

                             y = ab^x y=ab  

Exponential growth and decay, when the quantity increases by a fixed percentage at regular intervals.

                     Exponential growth  y = a(1 + r)^x y=a(1+r)

               \because b = (1 + r) ∵b=(1+r)

                     Exponential decay  y = a(1 - r)^x y=a(1−r)

x

                 \because b = (1 - r) ∵b=(1−r)

                       Where, a - initial value

                                   r - decay or growth rate

                                   x - Number of time intervals that have passed

Step 2: Set up an exponential equation from the given in formation

             Given that:

             Declined(Decay) rate r = 5% = 0.05

            Players from the first game a = 23,500

             Exponential decay  y = a(1 - r)^x y=a(1−r)

x

                                           y=23,500(1-0.05)^xy=23,500(1−0.05)

x

                                           y=23,500(0.95)^xy=23,500(0.95)

x

Step 3: Build a table of values by evaluating the function at different x-values.

                                       y=23,500(0.95)^xy=23,500(0.95)

                 If x = 0 then  y = 23,500(0.95)^x y=23,500(0.95)

                                      y = 23,500(0.95)^0 y=23,500(0.95)

                                      y = 23,500 * 1 y=23,500∗1

                                       y=23,500

The unit price in dollars per tangerine is $0.32

From the question, we have

Ivanna buys a bag of 12 tangerines for $3.48.

unit price in dollars per tangerine = 3.48/12

=$0.32

The unit price in dollars per tangerine is $0.32

Divide:

Split is to divide into two or more equal sections, places, groupings, or divisions in its most basic form. To divide something simply means to provide it to a group in equal quantities or to cut it up into equal pieces. Let's imagine a diagonal divides a square into two triangles with equal areas. An integer may or may not be the result of a division operation. Sometimes the result will be expressed as decimal numbers.

To learn more about divide visit: https://brainly.com/question/15381501

#SPJ1

Answer: C is the correct answer!I don't feel like explaining. sorry.Please let me know if I am wrong.

Answer:

f(2)=8(12-x)-5

=8(12-2)-5

f(2)=8(10)-5

=75

The probability that at least 2 of the colors will be the same, the following is the best simulation is Option D Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

Given, Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. We have to find the probability that at least 2 of the colors will be the same. There are 5 colors in the pack of clay, and 7 colors are possible in total.

So, the probability of picking any color at random is

P(picking a color) = 5/7 = 0.7143Let P(X = 2) be the probability that exactly 2 of the colors are the same.

Then, the probability that at least 2 of the colors are the same can be calculated by using the formula:

P(X ≥ 2) = 1 - P(X < 2).

The simulation method that can be used to find the probability of at least 2 of the colors will be the same in the mystery pack is option D.

Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

Know more about probability    here:

https://brainly.com/question/25839839

#SPJ8

By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.

We are given that,

No. of children who stayed at school is 27,

Also, 70% of the children went on an excursion.

Suppose, the total number of children in percentage is 100%

Out of which 70% went on an excursion

Thus, the children who stayed at school is 100% - 70% = 30%

By using the Unitary method, we can find out the number of 70% of children.

If 30% of the children are 27

Then 70% of the children are = 27 × 100

                                                        30

                                                 = 63

∴ the total no. of children in the school = 27 + 63

                                                                 = 90

To learn more about the Unitary method refer to the link below:

https://brainly.com/question/8083231

12x = (10)(11)

12x=110

x=110÷12

x=55/6