I need help please!!!

Answer:

Given that,

The normal population has a mean of 31

standard deviation of 10

To find: The proportion of the population is less than 30

Explanation:

we can find the z score value by using the formula,

where m is the mean and s is the standard deviation.

Substitute the vaues we get,

To find the proportion of the population is less than 30.

we get,

We get,

The proportion of the population is less than 30 is 0.46017.

Answer is:

The proportion of the population is less than 30 is 0.46017.

Answer:

13/28

Step-by-step explanation:

26/(26 + 30) = 26/56 = 13/28

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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Answer:

Step-by-step explanation:

Por lo tanto, los primeros 10 términos de la sucesión son:

1/2, 5/6, 7/6, 3/2, 11/6, 13/6, 17/6, 19/6, 23/6, 25/6.

La sucesión que se describe tiene un primer término de 1/2 y aumenta constantemente en 1/3 en cada término subsiguiente. Podemos encontrar los primeros 10 términos de la sucesión calculando cada término de manera sucesiva.

El primer término es 1/2.

Para encontrar el segundo término, sumamos 1/3 al primer término:

1/2 + 1/3 = 3/6 + 2/6 = 5/6

El segundo término es 5/6.

Para encontrar el tercer término, sumamos 1/3 al segundo término:

5/6 + 1/3 = 10/12 + 4/12 = 14/12 = 7/6

El tercer término es 7/6.

Podemos continuar este proceso para encontrar los siguientes términos:

4to término: 7/6 + 1/3 = 14/12 + 4/12 = 18/12 = 3/2

5to término: 3/2 + 1/3 = 9/6 + 2/6 = 11/6

6to término: 11/6 + 1/3 = 22/12 + 4/12 = 26/12 = 13/6

7mo término: 13/6 + 1/3 = 26/12 + 8/12 = 34/12 = 17/6

8vo término: 17/6 + 1/3 = 34/12 + 4/12 = 38/12 = 19/6

9no término: 19/6 + 1/3 = 38/12 + 8/12 = 46/12 = 23/6

10mo término: 23/6 + 1/3 = 46/12 + 4/12 = 50/12 = 25/6

Por lo tanto, los primeros 10 términos de la sucesión son:

1/2, 5/6, 7/6, 3/2, 11/6, 13/6, 17/6, 19/6, 23/6, 25/6.

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Answer:

Step-by-step explanation:

Answer:

x = 8.5

Step-by-step explanation:

2x+3=20

2x = 17...........subtract 3 from both sides

x = 8.5............divide both sides by 2

Answer:

y = 2x - 1

Step-by-step explanation:

y - 2x + 2 = 1

6x - 3y = 3​

\(y - 2x + 2 = 1 \\ +2x - 2 +2x - 2\\y = 2x - 1\)

Plug in for y:

6x - 3(2x - 1) = 3​

6x - 6x + 3 = 3

Simplified, 3 = 3

Answer: this solution has infinite solutions

Step-by-step explanation:

original system:

y-2x+2 = 1

6x-3y = 3

Move 2 to right side of equation

y    -2x = -1

-3y+6x = 3

solve for y in first equation

⇒ y = 2x - 1

insert y into second equation

⇒ -3(2x-1) + 6x = 3

simplify

⇒ -6x+3+6x = 3

simplify once more

⇒ 3 = 3

this solution has infinite solutions

Answer:

41°

Step-by-step explanation:

We know that,

y°+49°= 90°

y° = 90°-49°

y=41°

So, the value of y is 41°

Answer:

A. 12p + 12q

Step-by-step explanation:

12(p + q)

= 12p + 12q

The equation can be simplified down by distributing, but cannot be simplied any further because there is no like terms.

Answer:

12p + 12q

Step-by-step explanation:

For this questions, you will need to use the distributive property.

Since 12 is out of the bracket, you need to multiply everything that is inside the bracket with 12.

Answer:

mass divided by volume

Step-by-step explanation:

The density can be calculated as the mass divided by volume. So, the correct option is A.

Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.

Density = (Total amount available)/(total space which contains that amount)

Suppose that a finite amount of substance is there having its properties as:

The mass of substance = m kg

The density of substance = d kg/m³

The volume of that substance = v m³

Then, they are related as:

\(d = \dfrac{m}{v}\)

Therefore, the density can be calculated as the mass divided by volume. So, the correct option is A.

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Answer:

A

Step-by-step explanation:

maybe

Answer:

Step-by-step explanation:

2.55cm

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

\( x = - 1\)

\(x + 1 = 0\)

\( {(x + 1)}^{2} = {x}^{2} + 2x + 1 = 0\)

So m = 2 and n = 1, meaning m + n = 3.

Answer:

a

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

A

The answer is simply just a+b.

Solution:

log10^6=log10^2+log10^3

Since log10^2=a and log10^3=b,

The answer is a+b.

I think that the answer is a+b.

The inequality that represents p, the number of people the theater can seat is p ≤ 25

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

A movie theater can seat a maximum of 25 people

This means that

Maximum =  25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

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Answer:

c) 13%

Step-by-step explanation:

Given information,

→ The cost of a jacket increased from the price $75.00 to $84.75.

Now we have to,

→ find the % increase of cost of jacket.

Let's solve the problem,

→ ((84.75 - 75)/75) × 100

→ (9.75/75) × 100

→ 0.13 × 100

→ 13%

Hence, the answer is 13%.

Answer:

4/9 can not be simplified  

Answer:

4/9

Step-by-step explanation:

You cant simplify 4/9 anymore. But in order to check you have to see if you can divide by 2, you can't. Then you see if you can divide by 3, you can't. Then you only have one more number left so you see if you can divide by 4, you can't. So your answer is 4/9.

Answer:

A = -2

B = 2

C = 2

D = 3

Step-by-step explanation:

those are the y- coordinates

Answer: 38

Step-by-step explanation: It 38 because the pattern is just adding 6 each time.

Answer

38

Explaination

I took the test:)

I took the test

Step-by-step explanation:

1) (3x)^2 = (3x)*(3x)

2) (3x)^2 = 3x * 3x = 9 x^2

Answer:

10/117 or 8.55% or 0.09

Step-by-step explanation:

5/13 x 2/9 = 10/117

The probability you get orange juice and a ham sandwich is,

⇒ 10/117

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Given that;

In a cooler there are 5 orange juices, 2 apple juices and 6 grape juices. In a large bag there are 2 ham sandwiches and 7 turkey sandwiches.

Hence, Total number of juice in a cooler = 5 + 2 + 6 = 13

And, Total number of sandwiches = 2 + 7 = 9

Thus, The probability you get orange juice and a ham sandwich is,

⇒ 5 / 13 × 2 / 9

⇒ 10/117

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Answer:

5

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Since -2/3 multiplied by 3 equals -2, all you need to do is -2+1 which equals -1 which is the same number y is supposed to be.  

Hope this helps

Answer:

The answer is B.

Step-by-step explanation:

You have to substitute x values into the equation to see if it matches y values in the table :

\(y = - \frac{2}{3}x + 1\)

\(sub \: \: x = 3\)

\(y = - \frac{2}{3} (3) + 1 = - 1\)

\(sub \: \: x = 6\)

\(y = - \frac{2}{3} (6) + 1 = - 3\)

\(sub \: \: x = 9\)

\(y = - \frac{2}{3} (9) + 1 = - 5\)

Answer:

30 days

Step-by-step explanation:

Look at you z-score table to find the value closest to .6400  (64%)

 my table shows this corresponds to z-score + .36   standard deviation ABOVE the mean of 22 days

    .36  * 22 = ~ 8 days

  added to the mean   8  + 22 = 30 days