write the ratio in simplest form: 22:36=?

Answer:

( 1 , -3 ) for every +1 on the x line you go -3 on the y I hope this is what you need

The minimum sample size needed for the researcher to be 90% confident that the estimate is within 6 mm Hg is 111.

Given, a researcher is interested in estimating the mean systolic blood pressure

the blood pressures of a random sample of executives of major corporations is taken,

the standard deviation of the population of systolic blood pressures of executives of major corporations is 27 mm Hg

We have to find the minimum sample size, so that

confidence is 90% and the estimate is within 6 mm Hg.

Now, the value of Z for 90% confidence = 2.3458

Since E = 2.346

So, n = [2.346*(27/6)]^2

n= 111.450

n= 111 when rounded up

Hence, the minimum sample size needed for the researcher to be 90% confident that the estimate is within 6 mm Hg is 111.

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Answer:

C

Step-by-step explanation:

f(x) = 4x+10

f(-2) = 4(-2)+10 = 2

Answer:

b

Step-by-step explanation:

f(-2)  = 4(-2)+10

            = -2

Answer:

Hey guys! I know the answer!

Step-by-step explanation:

The answer is 374 21/80! Hope this helps!

Answer:

a = 2

not continuous

Step-by-step explanation:

In order for f(x) to have a limit at 0, f(0) from the left must equal f(0) from the right.

f(0⁺) = f(0⁻)

-2 + a = a sin(0)

-2 + a = 0

a = 2

If f(x) is continuous at x = 0, f'(0) from the left must equal f'(0) from the right.

f(x) = 0 for x > 0, so f'(x) = 0 for x > 0.

f(x) = 2 sin x for x < 0, so f'(x) = 2 cos x for x < 0.

f'(0⁺) = f'(0⁻)

0 = 2 cos 0

0 = 2

f(x) is not continuous at x = 0.

Answer:

a = 2

Step-by-step explanation:

Answer:

-2x^2  - 43x - 343 - 2393/x-7

Explanation

Finite set: A set is said to be a finite set if it is either a void set or the process of counting elements surely comes to an end is called a finite set.

For a universal set

Thus, if we have

Then it means that

Hence, option B is correct

Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

Answer:

24 gallons

Step-by-step explanation:

So, the question says:

y = miles

x = gallons

and,

y = 25x and y = 600

First, substitute.

600 = 25x

Divide both sides by 25.

600/25 = x

24 = x

24 gallons are used (or needed) to travel 600 miles.

Answer:

Step-by-step explanation:

8x - 12 = 4x

-12 = 4x - 8x

-12 = - 4x

-12/-4 = x

3 = x

D. All numbers greater than -10 and less than or equal to 8

A spherical container having a radius of 8 cm will be able to contain approximately 2688.53 cm³ of water.

To solve the question :

The volume of a sphere = 4/3 πr³

Where,

π = mathematical constant pi and

r = radius of the sphere.

Given,

radius (r) = 8 cm and

π = 3.14,

Substituting the values of π and r to the volume equation

V = (4/3) x 3.14 x 8³

V = (4/3) x 3.14 x 512

V = 2688.53 cm³ (rounding off to the nearest hundredth)

Hence, a spherical container having a radius of 8 cm will be able to contain approximately 2688.53 cm³ of water.

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Answer:

Matrix :

\(\begin{bmatrix}1&1&1&|&380\\ 5&3&10&|&1460\\ -2&1&0&|&0\end{bmatrix}\)

Solution Set : { x = 123, y = 246, z = 11 }

Step-by-step explanation:

Let's say that x represents the number of car wash tickets, y represents the number of silly sting fight tickets, and z represents the number of dance tickets. We know that the total tickets = 380, so therefore,

x + y + z = 380,

And the car wash tickets were $5 each, the silly sting fight tickets were $3 each and the dance tickets were $10 each, the total cost being $1460.

5x + 3y + 10z = 1460

The silly string tickets were sold for twice as much as the car wash tickets.

y = 2x

Therefore, if we allign the co - efficients of the following system of equations, we get it's respective matrix.

System of Equations :

\(\begin{bmatrix}x+y+z=380\\ 5x+3y+10z=1460\\ y=2x\end{bmatrix}\)

Matrix :

\(\begin{bmatrix}1&1&1&|&380\\ 5&3&10&|&1460\\ -2&1&0&|&0\end{bmatrix}\)

Let's reduce this matrix to row - echelon form, receiving the number of car wash tickets, silly sting fight tickets, and dance tickets,

\(\begin{bmatrix}5&3&10&1460\\ 1&1&1&380\\ -2&1&0&0\end{bmatrix}\) - Swap Matrix Rows

\(\begin{bmatrix}5&3&10&1460\\ 0&\frac{2}{5}&-1&88\\ -2&1&0&0\end{bmatrix}\) - Cancel leading Co - efficient in second row

\(\begin{bmatrix}5&3&10&1460\\ 0&\frac{2}{5}&-1&88\\ 0&\frac{11}{5}&4&584\end{bmatrix}\) - Cancel leading Co - efficient in third row

\(\begin{bmatrix}5&3&10&1460\\ 0&\frac{11}{5}&4&584\\ 0&\frac{2}{5}&-1&88\end{bmatrix}\) - Swap second and third rows

\(\begin{bmatrix}5&3&10&1460\\ 0&\frac{11}{5}&4&584\\ 0&0&-\frac{19}{11}&-\frac{200}{11}\end{bmatrix}\) - Cancel leading co - efficient in row three

And we can continue, canceling the leading co - efficient in each row until this matrix remains,

\(\begin{bmatrix}1&0&0&|&\frac{2340}{19}\\ 0&1&0&|&\frac{4680}{19}\\ 0&0&1&|&\frac{200}{19}\end{bmatrix}\)

x = 2340 / 19 = ( About ) 123 car wash tickets sold, y= 4680 / 19 =( About ) 246 silly string fight tickets sold, z = 200 / 19 = ( About ) 11 tickets sold

The possible amounts Susan will spend on candy is $25 and above.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this situation, since Susan will buy more than 6 pounds of candy, the same expression will be illustrated by x.

x > ($4 × 6)

x > $24

In this case, she'll have to spend $25 or more.

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Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

The sequence is not arithmetic

What is a sequence?

A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms). The length of the series is defined as the number of items (which might be infinite). Unlike a set, the same components can occur numerous times in a sequence at various points, and the order does important. Formally, a sequence may be defined as a function from natural numbers (the sequence's places) to the items at each point. The concept of a sequence may be extended to include an indexed family, which is defined as a function from an arbitrary index set.

The given sequence 78, 785, 7855, 78555, ... is not arithmetic.

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Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

1) To find the slope of the line that passes through those points, we'll need to use the Slope Formula

Note that the slope is the measure of how steep is the line between those points.

2) That is the answer.

Answer:

Step-by-step explanation:

lets have one side =a

P=3a+a+(17+a)=52

P=5a+17=52

5a=52-17

5a=35

a=7

second side=21

third side=24

Answer:

5/9 of the marbles are red

Step-by-step explanation:

Of the 45 marbles, 20 are black, and the other 25 are red. So 25/45, or 5/9, of the marbles are red.

Answer: 20.5

Step-by-step explanation:

Cos 43 = X/28

O.73 = x/28

(0.73)(28)=20.5

The discounted price of the ticket is $198.

The total cost of the ticket with the discount and service fee is $214.33.

A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."

Given:

The cost of a ticket on an airline is $220.

And Jameson receives a discount of 10%.

To find the discounted price:

The discounted price = 220 - 220 x 10 / 100

The discounted price = $198.

And the service charge is 8.25%.

So, the amount of service charge,

= 198 x 8.25/100

= 16.33

The total cost of a ticket = $198 + $16.33 = $214.33

Therefore, the cost is $214.33.

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Answer:

8m-10=8-m

We move all terms to the left:

8m-10-(8-m)=0

We add all the numbers together, and all the variables

8m-(-1m+8)-10=0

We get rid of parentheses

8m+1m-8-10=0

We add all the numbers together, and all the variables

9m-18=0

We move all terms containing m to the left, all other terms to the right

9m=18

m=18/9

m=2

Answer:

the number is 4

Step-by-step explanation:

4 times 3=12

12-10=2

hope this helps!

Answer:

it's 7!

Step-by-step explanation:

Answer:

siti has 324

Step-by-step explanation:

amiya=415-176

=239

siti =239+85

= 324

The equation of each line that satisfies the given conditions are:

1. y - 2 = 5/2(x - 3)

2. y - 4 = m(x + 3)

3. y = -3x + 5

1. Given the points, (3, 2) and (5, 7), find the slope (m):

Slope (m) = change in y / change in x = (7 - 2)/(5 - 3)

m = 5/2

Write the equation in point-slope form by substituting m = 5/2 and (a, b) = (3, 2) into y - b = m(x - a):

y - 2 = 5/2(x - 3)

2. Given:

A point = (-3, 4)

Slope (m) = 2

Substitute (a, b) (-3, 4), and m = 2 into y - b = m(x - a):

y - 4 = m(x + 3) [equation of the line]

3. Given:

Slope (m) = -3

Y-intercept (b) = 5

Substitute m = -3 and b = 5 into the equation y = mx + b:

y = -3x + 5

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There is a probability of 94/315 that the problem will be solved.

We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.

The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.

The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.

The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.

The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.

To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:

2/7 + 4/7 + 4/9 = 94/315

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The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.