5. A father checks on his new born baby every after 45 minutes. The mother checks on the same baby after every 30 minutes. You also check on the same baby after every 1 hour. If the three of you last checked on the baby together at 10:30 am, when again will you check on the baby together?​

Answer:

just solve normally as if theres no x,

1. 26x

2. -7x

This is an example of first mover advantage.

First mover advantage is a theory of organizational and business strategy by means of which it is considered that whoever has the first possibility of making decisions on a subject, will have a comparative advantage over the rest of the participants.

This is so because, it is assumed, this first actor will be able to take the best option for himself, leaving lower-ranking options to the rest of the participants.

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Answer:

17.2

Step-by-step explanation:

We need to use the law of sines

sin A           sin B

------------ = ----------

a                   b

sin 25           sin 27

------------ = ----------

16                   x

Using cross products

x sin 25 = 16 sin 27

Divide each side by sin 25

x = 16 sin 27 / sin 25

x =17.18772863

Rounding to the nearest tenth

x = 17.2

Maybe (10)(3/5)=6

The parentheses is multiplication

Answer:

First one, true

Second one, 23/45

Third one, 11/29

Step-by-step explanation:

There's thy answer for thy self t-t

Answer:

1.)true

2.) 23/45

3.)11/29

Step-by-step explanation:

Terri will need a total cash of $66,240 where $3200 is the down payment and $2240 is the closing cost.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Percentage is usually denoted by the symbol '%'.

1. Purchase price = $64,000

Percent of down payment = 5% of purchase price

Amount of money needed to pay down payment = 64,000 × 5%

                                                                                  = 64,000 × 0.05

                                                                                  = $3200

2. Purchase price = $64,000

Percent of closing cost = 3.5% of purchase price

Amount of money needed to pay closing cost = 64,000 × 3.5%

                                                                             = 64,000 × 0.035

                                                                             = $2240

3. Down payment is included in the purchase price.

Closing cost is in addition to the purchase price.

Total cash needed = $64,000 + $2240 = $66,240

Hence the total cash needed to purchase condominium is $66,240.

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The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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Answer:

tricky translations  Hope this helps Nat :)

Step-by-step explanation:

1)  (x,y) -> (-2+y, -x)    so just find a point on the first object and use those rules they have giving us to move to the 2nd translated point... like... let's use the point at (1,1) on the corner of the 1st object b/c 1,1 seems like an easy point to work with :)   soooo since  x=1 and y=1 for the point we are moving... plug those into our formula.. (-2+1, -1 ) is where the corner of the 1st object moves to.. get it?   so  to (-1,-1) is the destination of the new corner.. so put a point at (-1,-1) and keep in mind that it's that bottom left corner of that picture.. then try the top right corner at (2,3)  to see if our object rotates at all  ?  hmmm  so plug in to our formula again  ( -2+3, -2)  = (1,-2)  this is the top right corner put another dot at that point...  then try ( 2,1) that bottom right side of our object... so (-2+1,-2) = (-1,-2)  put another point there.. maybe you can see the object now but if unsure try the point at (1,2)  from the original object and see where that plots (-2+2,-1) = (0,-1)  put another dot at that point.  now you can probably see the object .. it's been turned and move over .. huh see it?  :)

2)for this one we are given y= -x  seems like very little info,  huh.. it's designed to give little info to "throw" you.. I feel like it's a disingenuous way to try and "trick" people into feeling dumb.. anyway.. if y = -x then  x = -y also, so let's put that into our formula  ( x, y) -> (-y, -x)  see?    so now reverse the points to get back to the start... take a point at say (1,1) and put it into the formula.. and we get (-1,-1)  see?  (2,1) -> (-2,-1)   (1,2) -> (-1,-2)   (2,3) -> (-2,-3)   put points at each of the new locations of the starting point graph... and the connect them the object is flipped and rotated by 180 huh..  over the x=y line,   see it?  

Answer:

6

Step-by-step explanation:

When multiplying numbers with the same base, just add the exponents. (4+2=6)

The correct answer is: A) The standard error decreases and the confidence interval narrows.

As the sample size increases, the standard error of the sample mean decreases. The standard error measures the variability or spread of the sample means around the true population mean. With a larger sample size, there is more information available, which leads to a more precise estimate of the true population mean. Consequently, the standard error decreases.

Moreover, with a larger sample size, the confidence interval for the true mean becomes narrower. The confidence interval represents the range within which we are confident that the true population mean lies. A larger sample size provides more reliable and precise estimates, reducing the uncertainty associated with the estimate of the population mean. Consequently, the confidence interval becomes narrower.

Therefore, statement A is the most accurate description of the change in the standard error of the sample mean and the size of the confidence interval for the true mean as the sample size increases.

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Answer:

LCM=780

Step-by-step explanation:

The least common denominator, also called lowest common denominator (LCD), of 60 and 13 is 780. Here is a math problem example where you need to know the LCD of 60 and 13 to solve: 3/60 + 2/13 = 780

As a result, the answer to the following question, This implies that the ballet shoe range in the class vary significantly, with some students having significantly bigger or smaller feet than others.

The variable's range is calculated by taking its greatest observed value and subtracting its minimum observed value (minimum). Possible range or variational bounds: a variety of steel costs; a variety of styles; The scope or size of a method or action: perception. The maximum or anticipated range of a weapon's projectile. A list or set's range is the number between the lowest and maximum. Align all of the numbers before determining the region. Next, subtract (reduce) the lowest number from the greatest number. The solution includes the range of the list. The solution specifies the range of the list.

The range is 4.5, which implies that the difference between the data set's biggest and lowest values is 4.5. The range is 8 - 3.5 = 4.5 since the biggest number is 8 and the smallest value is 3.5. This implies that the ballet shoe sizes in the class vary significantly, with some students having significantly bigger or smaller feet than others.

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Answer:

324 calories

Step-by-step explanation:

A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal

The unit rate for calories per cup = calories per cup

3/4 cup serving = 81 calories

3 cups of cereal = x calories

We Cross Multiply

3/4 × x = 81 × 3

x = (81 × 3) ÷ 3/4

x = 243 × 4/3

x = 324 calories per cup

There are 324 calories in 3 cups of cereal

Answer:

the first one is 36

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to calculate the volume of a triangular prism you need 2 things:

The triangles area and the prism's height.

Any prism's volume can be calculated by multiplying its base area with its height.

The Area of a triangle can be calculated in different ways.

The most used and "normal" way is:

(width * height) / 2

Another way is by using herons formula, which looks like this:

a, b, c = different sides of the triangle (length)

s = (a + b + c) / 2

a = \(\sqrt{s (s-a)(s-b)(s-c)}\)

When you have the prism's base area (\(b_{a}\)) you just have to multiply:

\(b_{a}*h=V\)

(V = volume)

If you have any questions, just ask them in the comments below.

Have a good day! (●'◡'●)

2 hours will pass before they meet.

"Information available from the question"

In the question:

Aaron starts riding a bike at a rate of 3 mi/h on a road toward a store 20 mi away.

Zhang leaves the store when Aaron starts riding his bike, and he rides his bike toward Aaron along the same road at 2 mi/h.

Now, According to the question:

Total distance = 20mi

Aaron starts riding a bike at a rate of  = 3mi/h

Zhang rides his bike toward Aaron along the same road at  = 2mi/h

Let y be the number of hours for them to meet.

The expression is given as

3y + 2y = 20

solving for y, we have

5y = 20

y = 20/5

y = 4hrs

Therefore, 2 hours will pass before they meet.

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Answer:

80

Step-by-step explanation:

From the given diagram;

KN = NM

9x - 5 = 7x + 7

9x - 7x = 7 + 5

2x = 12

x = 12/2

x = 6

Since KM= 2KL

KM = 2(6x+4)

KM = 12x + 8

KM = 12(6)+8

KM = 72+8

KM = 80

Hence the length of KM is 80

Hence, the probability of being dealt a five-card hand that is all diamonds from a standard deck of cards is approximately 0.000495 or about 0.0495%.

To calculate the probability of being dealt a five-card hand that is all diamonds from a standard deck of cards, we need to determine the number of favorable outcomes (getting all diamonds) and divide it by the total number of possible outcomes (all possible five-card hands).

In a standard deck of cards, there are 52 cards, and 13 of them are diamonds (there are 13 diamonds in total).

To calculate the number of favorable outcomes, we need to select all 5 cards from the 13 diamonds. We can use the combination formula, which is given by:

C(n, r) = n! / (r!(n-r)!)

where n is the total number of items and r is the number of items we want to select.

Using the combination formula, the number of ways to select 5 cards from 13 diamonds is:

C(13, 5) = 13! / (5!(13-5)!)

= 13! / (5! * 8!)

= (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1)

= 1287

Therefore, there are 1287 favorable outcomes (five-card hands consisting of all diamonds).

Now, let's calculate the total number of possible outcomes (all possible five-card hands). We need to select 5 cards from the total deck of 52 cards:

C(52, 5) = 52! / (5!(52-5)!)

= 52! / (5! * 47!)

= (52 * 51 * 50 * 49 * 48) / (5 * 4 * 3 * 2 * 1)

= 2,598,960

Therefore, there are 2,598,960 possible outcomes (all possible five-card hands).

To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:

Probability = favorable outcomes / total outcomes

= 1287 / 2,598,960

≈ 0.000495

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Answer:

0.75 miles

Step-by-step explanation:

1. 4/3 is equal to 1.5 or 1.50

2. Divide 1.5 into a half.

1 whole is equal to 0.5 or 0.50

3. Divide the 0.50 in 1.50

0.50 divided by 2 is equal to 0.25

4. Add 0.50 + 0.25

0.50 + 0.25 = 0.75

___________________________________________________________

Hope this helped :)

Answer:

Step-by-step explanation: 0.3

Answer:

Step-by-step explanation:

1. The answer is 0.3.

The value of the variable 'x' is less than 3 and the value of the variable 'r' is greater than negative 5.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequalities are given below.

-2r < 10 and -6 < -2x

The value of the variable 'r' is given as,

-2r < 10

2r > -10

r > - 10/2

r > - 5

The value of the variable 'x' is given as,

-6 < -2x

2x < 6

x < 6 / 2

x < 3

The value of the variable 'x' is less than 3 and the value of the variable 'r' is greater than negative 5.

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The percent change in the price is  -6.67

The percentage change will be given by the formula:

Percent change = 100%*(new price - old price)/old price

We know that:

old price = 15 pounds.

new price = 14 pounds

Replacing that we will get:

percent change = 100%*(14 - 15)/15 = -6.67%

The price is 6.67% smaller.

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12 students do not play any of the games. Number of students who do not play any of the games = 60 - 82 = 12

A group of 60 students, 25 play table tennis, 16 do swimming and 22 play cricket, 8 play table tennis and do swimming, 6 play cricket and do swimming, 5 play table tennis and cricket.

25 play table tennis

16 do swimming

22 play cricket

8 play table tennis and do swimming

6 play cricket and do swimming

5 play table tennis and cricket

Find the number of students who do not play any of the games

Total number of students = 60

Number of students who play any of the games = 25 + 16 + 22 + 8 + 6 + 5 = 82

Number of students who do not play any of the games = 60 - 82 = 12

12 students do not play any of the games.

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Answer:

A.

Step-by-step explanation:

A way to find the equation of the graph is to find the solutions.

On the graph, the solutions are where the function intersects the x-axis. That would be where x = -2, x = 1, and x = 3.

In the equations, you will need to find factors when the x is inputted, the factor equals 0. For example, one of the factors is (x + 2). This is because x + 2 = 0, so x = 0 - 2, so x = -2. So, the three factors are (x + 2), (x - 1), and (x - 3).

The correct equation is A.

Hope this helps!

a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Answer:

169

Step-by-step explanation:

\(650 \times (39\% - 13\%) = 169\)