a couple decides to have 4 children. if they succeed in having 4 children and each child is equally likely to be a boy or a girl, what is the probability that they will have exactly 2 girls and 2 boys?

Answer:

A line drawn from the midpoint of one side of a triangle to it's opposite vertex would be an angle bisector of that vertex.

Step-by-step explanation:

m∠U = 58°

The symbol (~) means triangle PQR is similar to triangle STU

When two triangles are similar, their three angles are the same

∠P = ∠S = 40°

∠Q = ∠T = 82°

∠R = ∠U

The sum of angles in a triangle = 180°

Using triangle PQR:

∠P + ∠Q + ∠R = 180°

40 + 82 + ∠R = 180°

122 + ∠R = 180

∠R = 180 - 122

∠R = 58°

Since ∠R = ∠U = 58°

Hence, m∠U = 58°

Answer:

y=x+2

Step-by-step explanation:

Did on Calculator : )

Answer: The 1st one, 5th one, and the 7th one.

Step-by-step explanation: They are the only ones with half shaded.

Answer:11

Step-by-step explanation:

Answer:

B - 11

Step-by-step explanation:

The term 5280 represents the number of feet in a mile in this relationship y=5,280x.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The linear equation is:

y=5,280x

The number 5,280 here represents the number of feet in a mile in this connection.

The equation is calculated:

Since Y=5,280x, the equation

It gives the quantity, y, of feet in x miles.

We may conclude that 5,280 represents the number of feet in a mile in this relationship.

Thus, the term 5280 represents the number of feet in a mile in this relationship y=5,280x.

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the local time in Anchorage when the image was taken was 5:00 PM, and the local day was Dec. 2, 2011.

To determine the local time and day in Anchorage when the satellite image was taken, we need to consider the time difference between the Prime Meridian (0 degrees longitude) and Anchorage, Alaska (approximately 150 degrees west longitude).

Each time zone is approximately 15 degrees wide, representing a one-hour difference in local time. Anchorage is in the Alaska Standard Time (AKST) zone, which is typically UTC-9 (nine hours behind UTC) during standard time.

Given that Anchorage is about 150 degrees west of the Prime Meridian, we can calculate the time difference as follows:

150 degrees / 15 degrees per hour = 10 hours

Therefore, when the image was taken at 0300Z (3:00 AM), Dec. 3, 2011, at the Prime Meridian, the local time and day in Anchorage were:

3:00 AM - 10 hours = 5:00 PM, Dec. 2, 2011

So, the local time in Anchorage when the image was taken was 5:00 PM, and the local day was Dec. 2, 2011.

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Answer:

add up all the numbers and multiply it by 32

Step-by-step explanation:

add up 32 33 34 34 36 38 38 38 40 42 amd then multiply that answer by 32

Answer:

SA = 10,800 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 40

w = 60

h = 30

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 60(40) + 30(40) + 30(60) )

SA = 2 ( 2400 + 1200 + 1800 )

SA = 2 ( 5400 )

SA = 10,800 ft²

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Answer: $(d-3c)

Step-by-step explanation:

Total amount Tina had = $d

Cost of cupcakes = $c

Number of cupcakes purchased = 3

Therefore,

Total cost of cupcakes = cost per cupcake × number of cupcakes

Total cost of cupcakes = $c × 3 = $3c

Amount left after cupcake purchase:

Total amount Tina had - total cost of cupcakes :

$d - $3c

B. Nothing can be concluded about the class means unless the standard deviations are known.

The mean is a measure of central tendency in a data set. It is the sum of all the values in the data set divided by the number of values.

A z-score is a measure of how many standard deviations a value is from the mean of a data set. A positive z-score indicates that a value is above the mean, while a negative z-score indicates that a value is below the mean. However, without knowing the standard deviation of the data set, it is not possible to determine the mean or to compare the means of two different data sets.

Hence, B. Nothing can be concluded about the class means unless the standard deviations are known.

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If the \(z\)-score is \(z_1 < 0\), find the area under the curve to the right of \(-z_1\) and subtract that from 1.

If the z-score is z<0 , find the area under the curve to the right of -z  and subtract that from 1.

what is z-score?

z-score is a statistical measurement that describes a value's relationship to the mean of a group of values and the formula for the z-score is

z = (x - μ)/σ

x = data point

μ = mean

σ = standard deviation

Mean:- The arithmetic mean, also known as the arithmetic average or simply the mean or average, is the sum of a set of numbers divided by the total number of numbers in the set. The collection frequently consists of a series of findings from a survey, experiment, or observational study.

Now,

As we know the area is just the space according to given condition

and if we find the area to the right of -z and substract it from 1 (as for z-score whole area is 1 square unit) then we get the area for z<0.

Hence,

             If the z-score is z<0 , find the area under the curve to the right of -z  and subtract that from 1.

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Answer:

x = 6

Step-by-step explanation:

Here it's sayin that Q is a point in between the end-points P & R. If we join P & R , it forms a line segment & Q is in the line segment PR. Hence PQ & QR are also line segments which combine to form line segment PR. So ,

PR = PQ + QR

Putting the given values of PQ ,QR & PR

=> 4x - 12 + 2x + 7 = 31

=> 6x - 5 = 31

=> 6x = 31 + 5

         = 36

=> x = 36/6 = 6

Answer:

Point R is at (−40, −30), a distance of 60 units from point Q

Step-by-step explanation:

Correct option is ,

Point R is at (-40, 30) , a distance of 60 units from Point Q.

hope this answer helps you dear take care!

Answer: 146

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Its definitley square to be precise so that's my answer, but its also a rhombus

Step-by-step explanation:

assuming a is 1, regardless, graph would always be square, which is a rhombus. hope  square is correct :)

Answer:

$0.39

Step-by-step explanation:

First find the unit rate for store B ( $8.84/13)

At store B Artuto spends $0.68 for one bottle of apple juice

At store A they spent $0.29

0.68-0.29= 0.39

Answer:

Emily=24 marbles Zak=8 marbles

Step-by-step explanation:

sum of ratio= 3+1=4

Emily: Zak= 3:1

no. of marbles for Emily= \(\frac{no. of ratio}{sum of ratio}\)×total no. of marbles

                                      = \(\frac{3}{4}\)×32

                                      =24 marbles

No. of marbles for Zak= \(\frac{1}{4}\)×32

                                    =8 marbles

All the missing angles of the triangles are;

m∠1 =  50°

m∠4 = m∠2 = 30°

m∠3 = 50°

m∠5 = 40°

m∠6 = 50°

m∠7 = 90°

We know that the sum of angles in a triangle is 180 degrees. Thus;

m∠1 = 180 - (90 + 40)

m∠1 =  50°

We know that sum of angles on a straight line is 180 degrees. Thus;

m∠4 = m∠2 = 180 - 50

m∠4 = m∠2 = 30°

Now, opposite angles are equal and as such;

m∠1 =  m∠3 = 50°

Using the first concept, we can say that;

m∠5 = 180 - (90 + 50)

m∠5 = 40°

Similarly,

m∠6 = 90 - 40

m∠6 = 50°

Similarly,

m∠7 = 90°

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Answer:

Step-by-step explanation:

chiều dài:x,x>0

chiều   rộ:y

\(\left \{ {({x+y)*2=326} \atop {xy=6370}} \right.\)

\(\left \{ {{x+y=163} \atop {xy=6370}} \right.\)

\(\left \{ {{y=163-x} \atop {xy=6370}} \right.\)

\(\left \{ {{y=163-x} \atop {x*(163-x)=6370}} \right.\)

\(\left \{ {{y=163-x} \atop {163x-x^{2} =6370}} \right. \\\)

\(\left \{ {{y=163-x} \atop {x_{1} =98; x_{2} =65}} \right.\)

\(\left \{ {{y=65} \atop {x=98}} \right.\)

The scale factor of dilation from AB to EF is 0.25

The given parameters are:

From the above parameters, side lengths AB and EF are corresponding sides

This means that:

The scale factor of dilation (k) is

k = AB/EF

So, we have

k = 3/12

Evaluate

k = 0.25

Hence, the scale factor of dilation from AB to EF is 0.25

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A) The graph of f(x) = 2x² + 4x opens upward. B) The vertex is (-1, -2). C) The  y-intercept is (0, 0). For the second equation, f(x) = 2x² + 6x + 9: A) The graph opens upward. B) The vertex is (-3/2, 9/2). C) There are no x-intercepts.

A) The graph of the parabola given by f(x) = 2x² + 4x opens upward.

B) The vertex of the parabola can be found using the formula x = -b/(2a), where a and b are the coefficients of the quadratic equation. In this case, a = 2 and b = 4, so the x-coordinate of the vertex is x = -4/(2*2) = -1. The corresponding y-coordinate can be found by substituting x = -1 into the equation: f(-1) = 2(-1)² + 4(-1) = 2 - 4 = -2. Therefore, the vertex is (-1, -2).

C) The y-intercept is the point (0, f(0)). Substituting x = 0 into the equation: f(0) = 2(0)² + 4(0) = 0. Hence, the y-intercept is (0, 0).

For the second equation, f(x) = 2x² + 6x + 9, we can follow the same steps:

A) The graph of the parabola opens upward.

B) The vertex is obtained by x = -b/(2a), where a = 2 and b = 6. Therefore, the x-coordinate of the vertex is x = -6/(2*2) = -3/2. Substituting x = -3/2 into the equation: f(-3/2) = 2(-3/2)² + 6(-3/2) + 9 = 2(9/4) - 9/2 + 9 = 9/2 - 9/2 + 9 = 9/2. Thus, the vertex is (-3/2, 9/2).

C) To find the x-intercepts, we set f(x) = 0 and solve the quadratic equation. 2x² + 6x + 9 = 0 does not have real solutions since the discriminant is negative. Therefore, there are no x-intercepts.

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Answer:

LN and RQ

Step-by-step explanation:

PQR is just an enlargened version of MLN

RQ is just LN but longer

Answer:

The pants cost $15 and the jacket costs $60

Step-by-step explanation:

According to the division property of equality, if both sides of an equation are divided by a common real integer that is not zero, the quotients remain equal.

Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.

The four key terminology used in the division process are dividend, divisor, quotient and remainder. Dividend Divisor = Quotient + Remainder is the formula for dividing two numbers.

Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.

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Answer:

19.8,41.8

Step-by-step explanation:

wish you all the best hope you understand.

Answer:

A

Step-by-step explanation:

The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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