Explain how to do this so I can do the next few problems thank you so much!!!

a) The value of the mean is μ = 22.5

   The value of the standard deviation is σ = 3.5

b) The Value of 15 girls or fewer is significantly low.

   The value of 30 girls or more is significantly high.

c) The result 36 is significantly high because 36 is greater than 30 girls. A         result of 36 girls is not necessarily definitive proof of the method's effectiveness.

The standard deviation is a measure of the amount of variability or dispersion in a set of data values. It is a statistical measure that tells you how much, on average, the values in a dataset deviate from the mean or average value.

a) Since the probability of having a girl for each couple is 0.5, the number of girls each couple will have can be modeled as a binomial distribution with parameters n=1 and p=0.5.

Let X be the random variable denoting the number of girls in 45 couples. Then, X follows a binomial distribution with parameters n=45 and p=0.5.

The mean of a binomial distribution is given by μ = np, so in this case, the mean number of girls in a group of 45 couples is:

μ = np = 45 x 0.5 = 22.5

Therefore, we expect to see around 22-23 girls in a group of 45 couples.

The standard deviation of a binomial distribution is given by σ = √(np(1-p)), so in this case, the standard deviation of the number of girls in a group of 45 couples is:

σ = √(np(1-p)) = √(45 x 0.5 x 0.5) = 3.535

Therefore, we can expect the number of girls in a group of 45 couples to have a standard deviation of around 3.5.

b) In this case, we can assume that the number of girls in a group of 45 couples follows a normal distribution due to the Central Limit Theorem.

Using the standard deviation we found in the previous answer (σ = 3.535), we can calculate the values that separate the results that are significantly high and significantly low.

Significantly high:

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Significantly low:

Mean - 2σ = 22.5 - 2(3.535) = 15.43

c) To determine if the result of 36 girls is significantly high, we need to compare it to the values we calculated in the previous answer.

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Since 36 is greater than 29.57, we can conclude that the result of 36 girls is significantly high.

This suggests that the method of gender selection may be having an effect on the probability of having a girl. However, we cannot conclusively say this without conducting further analysis or testing.

It is also important to note that the result of 36 girls is not necessarily definitive proof of the method's effectiveness.

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Answer:1/4

hope this helps

Step-by-step explanation:We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 3 by 12, and get 36.

Then we multiply 6 by 4, and get 24.

Next we give both terms new denominators -- 4 × 12 = 48.

So now our fractions look like this:

36/48 − 24/48

Step 2

Since our denominators match, we can subtract the numerators.

36 − 24 = 12

So the answer is:12/48

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

12/48÷ 2 =6/24

Let's try dividing by 2 again

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

6/24÷ 2 =3/12

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:3/12÷ 3 =1/4

Let's try dividing by 3 again

No good. 3 is larger than 1. So we're done reducing.

There you have it! The final answer is:

3/4−6/12=1/4

The set of prime numbers greater than 11 with the cardinality of 5 is {13, 17, 19, 23, 29}

From the question, we have the following parametes that can be used in our computation:

Set = prime numbers

Cardinality = 5

The cardinality implies that the number of elements in the set is 5

5 prime numbers greater than 11 are 13, 17, 19, 23, 29

Hence, the set is {13, 17, 19, 23, 29}

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Whenever there is no exponent on a variable,

you can give it an exponent of 1.

So we can rewrite the x's in this problem as x¹.

When we multiply two terms together

with like bases, we add their exponents.

So now just add their exponents to get x².

Answer:

See below.

Step-by-step explanation:

The unit rate is the cost per thing. You just divide the cost by the amount:

$7.38/18 ounces = $0.41/1 ounce

$15.39/27 ounces = $0.57/1 ounce

Therefore, $7.38 for 18 ounces is the better option.

Answer:

$ 52.63

Step-by-step explanation:

The brand C detergent has the best value.

The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations.

As per the given data in the question:

The information regarding the quantity and cost of 3 detergents is given in the question.

We have to find out which detergent is the most economical.

The detergent with the lowest cost/quantity will be the most economical.

For Brand A

Cost = $14.99

Quantity = 40 ounces

cost/quantity = 14.99/40 = 0.374 dollar/ounce

For Brand B

Cost = $19.99

Quantity = 50 ounces

cost/quantity = 19.99/50 = 0.399 dollar/ounce

For Brand C

Cost = $21.99

Quantity = 1/2 gallon = 64 ounces

cost/quantity = 21.99/64 = 0.343 dollar/ounce

The brand C detergent has the best value.

Hence, The brand C detergent has the best value.

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9514 1404 393

Answer:

  20, 31, 42, 53, 64, 75, 86, 97

Step-by-step explanation:

The difference of 18 means the difference of digits is 18/9 = 2. Since the number you seek is the larger number, the 10s digit will be 2 more than the 1s digit. Possible numbers are ...

  20, 31, 42, 53, 64, 75, 86, 97

_____

If t and o are the tens and ones digits respectively, the relation you seek is ...

  (10t +o) -(10o +t) = 18

  9(t -o) = 18

  t - o = 2 . . . . as above

Since both t and o must be single digits, the minimum will be t=2, o=0, and the maximum will be t=9, o=7.

Answer:

10a+b=10b+a-18

9a+9b = -18

9(a+b) = -18

a+b = 18/9

a + b =2

Step-by-step explanation:

Answer:

need pictures of questions

Step-by-step explanation:

please

Answer:

2 acute angles and 2 obtuse angles (D)

2 pairs of parallel sides

Answer:

∠2=92°

Step-by-step explanation:

Using an angle formula, -8x+144=2x+74

Simplification:

-8x+144=2x+74

-8x+70=2x

70=10x

x=7

Therefore, each angle is 88°

Now, because ∠2 is adjacent to one of 88°, they add up to 180°

Therefore,

180°=88°+∠2

∠2=92°

8x + 1 = 7

y - x = 1

y = 1 + x

sub 1 + x in eqtn i

8x + 1 = 7 { 1 + x }

8x + 1 = 7 + 7x

8x - 7 = 7 - 1

x = 6

y - 6 = 1

y = 1 + 6

y = 7

So,

8x = 8 x 6 = 48

7y = 7 x 7 = 49

My present years is 48

Next year i will be 49

Multiple can be defined as a number that is the product of a given number and some other natural number. For example when we multiply 7 × 3=21 or 8×3 =24

Therefore my present age is 48 and next year will be 49

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Answer:

6/x^2

Step-by-step explanation:

6x^-2

6*x^-2

6*(1/x^2)

6/x^2

Answer:

As they triangles are congruent, we can say that, angle A = angle O

So, angle A = 105+25 =130

A = 180 - 130 = 50° all angles in a triangle add up to 180)

Soo 50° is the answer,

I'm not too sure about it but I think this is correct, hope this helps, correct me if I'm wrong....

Answer:

A. X=6 only

Step-by-step explanation:

Answer:

5 science questions and 1 math question

Step-by-step explanation:

i literally just counted on my fingers by 3

The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

612 dollars

Step-by-step explanation:

From the given information:

Amount of the total mixture = 6000 pounds

Also, for each batch, there needs to be at least 25% bluegrass seed.

It implies that:

In 6000 pounds, there are (25×6000)/100 = 1500 pounds of bluegrass seed.

The remaining amount of (6000 - 1500 = 4500)pounds will be for rye and Bermuda.

Suppose the amount of rye seeds = x pounds

while that of Bermuda is (4500 - x) pounds

Then, since the amount of Bermuda contains no more than 2/3 of that of rye.

The equation can be written as:

\(( 4500 - x) = \dfrac{2x}{3}\)

13500 - 3x = 2x

13500 = 5x

\(x = \dfrac{13500}{5}\)

x = 2700

Now, the amount of rye seed = 2700 pounds

while that of Bermuda seed = 4500 - 2700 = 1800 pounds

However, For Bluegrass, we are told that the cost of 1 pound is 12 cents.

So, the cost of 1500 bluegrass seeds = 12 × 1500 = 18000 cents

For rye seed; cost of 1 pound = 14 cents

the cost of 2700 rye seeds = 14 × 2700 = 37800 cents

For Bermuda seed; cost of 1 pound = 3 cents

the cost of 1800 rye seeds = 3 × 1800 = 5400 cents

The total amount = (18000 + 37800 + 5400) = 61200 cents

Recall that:

100 cents = 1 dollars

61200 cents = x dollars

x = 61200 cents/100 cents

x = 612 dollars

Thus, the minimum cost is 612 dollars.

Answer:

Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Step-by-step explanation:

hourly pay: $5/hour

number of hours: 24 hours

total pay = hourly pay × number of hours

total pay = $5/hour × 24 hours

total pay = $120

MP3 player costs $100.

Total pay is $120.

Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Answer:

50n^2 -2

Step-by-step explanation:

g(x) = 2x^2 -2

g(5n) =

Replace x with 5n

g(5n) = 2 ( 5n)^2 -2

          = 2 ( 25n^2) -2

          = 50n^2 -2

The area of the shaded region is 559 ft².

In order to find the area of the shaded region, we will subtract the area of the square from the area of the rectangle. That is:

area of the shaded region = area of rectangle - area of square

area of the shaded region = (32 * 20) - (9 * 9)

area of the shaded region = 640 - 81

area of the shaded region = 559 ft²

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Complete Question

See attached image

We know that

• The debt is -$132.

• She is going to pay back $12 a week.

Based on the given information, we can express the following equation.

There are 14 dogs and 46 chickens in the farmyard.

The supposition that there are d dogs and c chickens.

Each chicken has two legs, but each dog has four.

Consequently, the total number of legs may be written as follows:

4d + 2c

Since we are aware that there are 148 legs in total, we can construct the following equation:

4d + 2c = 148

We may create another equation since we know that there are a total of 60 heads (dogs and chickens):

d + c = 60

Now that we have two equations with two variables, we may answer them both at the same time.

2d + 2c = 120 is the result of multiplying the second equation by two.

When we deduct this from the first equation, we obtain 2d = 28.

So, d = 14.

Reintroducing this into the second equation, we get:

14 + c = 60

So, c = 46.

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According to the solving the lengths of right angle triangle using Pythagorean theorem x = 6, y = 3

A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem or Pythagoras' theorem. According to this rule, the area of the square with the hypotenuse side is equal to the sum of the areas of the squares with the other two sides.

The following is one way to perform the calculation. It may not be the best way.

c = b/cos(α)

= 6

a = √c2 - b2

= √62 - 5.192

= √9.0639

= 3.01063

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Answer:

C

<$&#&#;#;#;#;#

Step-by-step explanation:

1/4= 4x6=24

Answer:

C

Step-by-step explanation:

For the population to double, it takes around 7.07 hours.

The continuous exponential growth model is given by:

\(N(t) = N0 * e^{rt}\)

Where:

N(t) is the population size at time t

N is the initial population size (at t = 0)

r is the growth rate parameter

t is the time elapsed

We want to find the time t it takes for the population size to double, which means N(t) = 2N. Substituting into the growth model, we get:

\(2N = N * e^{rt}\)

Dividing both sides by N, we get:

\(2 = e^{rt}\)

Taking the natural logarithm of both sides, we get:

ln(2) = rt

Solving for t, we get:

t = ln(2)/r

Substituting r = 0.098 (9.8% as a decimal), we get:

t = ln(2)/0.098

t ≈ 7.07 hours

Therefore, it takes approximately 7.07 hours for the population size to double.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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