p = q - r + s. solve for q

Given:

The equation is,

Explanation:

Simplify the right hand side of equation.

From left side and right side of equationn it can be observed that,

Simplify the equation for a.

OR,

So value of a is -3.

Option B is correct.

Using the Hypothesis testing and statistic Z- test we , find that the bag sample is not underfilled at a significance level of 0.025 i.e., 25% .

In the given question, we shall check the bag is underfilled at given level or not .

We can use the hypothesis testing, The Null and Alternative hypothesis are given as below :

H₀ : u = 411 : the bags are not underfilled

Hₜ : u < 411 : the bags are underfilled

Check it now using statistic Z-test and the test Statistic formula is given by

= ( M – u ) / S.D / √n , where M = mean of sample and S.D = standard deviations n is the number of bags used .

From given data we get, n= 19 ; M = 437 ; S.D = √ variance = √ 441 = 21

Including all of the above variables in formula

Z = (437-411)/21/√19

= 26/21/√19

= 5.395

This is right -tail test in statistic Z -test

P- value = 1 – 0.9999 = 0.111 ( by using Z-table or P-value for Z in Excel )

The sufficient evidence level is 0.025 i.e., alpha (α) = 0.025

P- value >α , this implies that Null hypothesis is not Rejected .

There is sufficient evidence to suggest that bag is not underfilled.

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Answer:y=1/380

Step-by-step explanation:

if you are trying to do y divided by 12 it would be 4560x12

Associative Property

Answer:

Associative

Step-by-step explanation:

The length of the diagonal of the Triangle is 14.86 units

What is Diagonal?

When two polygonal vertices are not on the same edge, a diagonal is a line segment connecting them. Any sloping line is known as a diagonal informally.

Given,

Area of Rectangle = 110square units

Length = 11units

Breadth = ?

Area of Rectangle = length x breadth

Breadth = Area of Rectangle / length

Breadth = 110 / 11

Breadth = 10units

Length of diagonal (Pythagoras Theorem)

H^2 = P^2 + B^2

H^2 = (11)^2 + (10)^2

H^2 = 121 + 100

H^2 = 221

H = [tex]\sqrt{221}[/tex]

H = 14.86 units

Hence, The length of its diagonal is 14.86 units

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The solution for the system of equations of three variables is:

x = 4

y = -1

z = -3

Or (4, -1, -3) written as a point.

Here we have a system of equations on 3 variables, the system is:

3x + 2y + z = 7

5x + 5y +4z = 3

3x + 2y + 3z = 1

Notice that the "x" and "y" coefficients in the first and last equation are the same ones, so we can take the difference between these to get:

(3x + 2y + 3z ) - (3x + 2y + z ) = 1 - 7

2z = -6

z = -6/2 = -3

So the value of z is -3.

Replacing that in the first and second equation we get:

3x + 2y - 3 = 7

5x + 5y + 4*(-3) = 3

Now we can simplify these:

3x + 2y = 10

5x + 5y = 15

We can divide the second one by 5 to get:

(5x + 5y)/5 = 15/5

x + y = 3

Isolating x, we get:

x = 3 - y

Now we replace that in the other equation:

3*(3 - y) + 2y = 10

9 - y = 10

9 - 10 = y

-1 = y

Now we know the value of y, finally with:

x = 3 - y

We can get the value of x:

x = 3 - (-1) = 4

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Answer: 4 gallons

Step-by-step explanation:

The boat can travel 228 miles on 19 gallons of gasoline. We can divide 228 by 19 to find out how many miles the boat can travel on 1 gallon of gasoline, which is 12. For the boat to go 48 miles, we can divide 48 by 12 to get the answer, which is 4. The boat can travel 48 miles with 4 gallons of gasoline.

Answer:

[tex]\boxed{\sf{t=24}}[/tex]

Step-by-step explanation:

Find the value of t, to isolate on one side of the equation.

t-18=6

First, add by 18 from both sides.

[tex]\rightarrow \sf{t-18+18=6+18}[/tex]

Solve.

Add the numbers from left to right.

6+18=24

[tex]\Rightarrow \boxed{\sf{t=24}}[/tex]

Therefore, the final answer is t=24.

The answer should have a positive sign.

I hope this helps, let me know if you have any questions.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{t - 18 = 6}[/tex]

[tex]\large\text{ADD \boxed{\textsf{18}} to BOTH SIDES:}[/tex]

[tex]\mathsf{t - 18 + 18 = 6 + 18}[/tex]

[tex]\large\text{CANCEL out: \boxed{\mathsf{-18 + 18}} because it gives you 0.}[/tex]

[tex]\large\text{KEEP: \boxed{\mathsf{6 + 18}} because it gives you the answer of the t-value.}[/tex]

[tex]\large\text{New equation: }\mathsf{t = 6 + 18}[/tex]

[tex]\mathsf{t = 6 + 18}[/tex]

[tex]\mathsf{t = 24}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{t = 24}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The unknown value from the given linear expression is 1/4

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.

When an equation is given in this format, finding both intercepts is rather simple (x and y).

Given the equation below;

6 = 12k * 2

6 = 24k

Divide both sides by 24

24k = 6

k = 6/24

k = 1/4

Hence the value of k from the given expression is 1/4

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Answer:

A = 131°

Step-by-step explanation:

Supplementary angles sum 180°

A + B = 180°

(3x - 28) + (x - 4) = 180

4x - 28 - 4 = 180

4x - 32 = 180

4x = 180 + 32

4x = 212

x = 212/4

x = 53

Then:

A = 3x - 28

A = 3*53 - 28

A = 159 - 28

A = 131°

B = x - 4

B = 53 - 4

B = 49°

Check:

131° + 49° = 180°

Answer:m∠A=33

Step-by-step explanation:

The solution to the simultaneous equation is y = 5.5 and x = 1.5

Simultaneous equations are the types of equations in mathematics that is made up of two equations where the equations would have to share variables.

we have

y = 3x + 1 - - - - 1

x + y = 7 - - - - 2

we have to put the value of y in equation 1 into equation 2

we would have

x + 3x + 1 = 7

4x + 1 = 7

4x = 7 - 1

4x = 6

x = 6 / 4

x = 1.5

put the value of x in equation 2 to get y

1. 5 + y = 7

y = 7 - 1.5

y = 5.5

Therefore the values of y is 5.5 while the value of x is 1.5

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The required solution of the given simultaneous equation is x = 1.5 and y = 5.5.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
y = 3x + 1    _ _ _ _ _ _ (1)
x + y = 7      _ _ _ _ _ _ (2)
From equation 2
y = 7  - x substitute this in equation 1
7 - x = 3x + 1
4x = 6
x = 6 / 4
x = 3 / 2
Now put this x in equation 2
3/2 + y = 7
y = 7 - 3/2
y = 11 / 2

Thus, the required solution of the given simultaneous equation is x = 1.5 and y = 5.5.

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GIVEN

The subset that best describes discrete data.

SOLUTION

Discrete data is a count that involves integers — only a limited number of values is possible.

Discrete data includes discrete variables that are finite, numeric, countable, and non-negative integers. These data are usually prefixed by "the number of..."

Whole numbers are the best for describing discrete data.

ANSWER

Whole numbers are the best subset of real numbers to describe discrete data.

Take into account that the slope of a line is given by the following formula:

where (x1,y1) and (x2,y2) are two points on the line.

In this case:

(x1,y1) = (p,3)

(x2,y2) = (6,p)

By replacing the previous values into the formula for m, we get:

Now, by making m = 2 and solving for p, we obtain:

Hence, the value of p is p = 5

Answer: y = -4 + x/2

Step-by-step explanation:

Answer: 84 minutes for 32 songs= 42 minutes for 16 songs.

Step-by-step explanation: All I had to do was divide 84 by two and divide 32 by 2.

84/2=42

32/2= 16 songs.

Answer: 16 songs.

84 dived by 2 equals 42.

Do 32 divided by 2 and it gives us 16.

As the sample size becomes larger, the sampling distribution of the sample mean approaches a normal distribution.

In the theory of probability, the central limit theorem states that the distribution of a sample mean approximates a normal distribution as the size of the sample increases. For the central limit theorem to hold, it is necessary that the sample size at least cross a margin of 30. Having a sufficiently larger sample size can predict the characteristics of the sample more accurately. The central limit theorem is applicable when we are analyzing large data sets.

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Answer:B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

By applying the law of reflection to the ray of sunlight, the value of x is equal to 5.

The law of reflection is a theorem which states that the magnitude of the angle of incidence is equal to the magnitude of the angle of reflection when a ray of light is reflected off a surface such as a plane mirror.

Mathematically, law of reflection can be represented or modelled by this mathematical expression:

sinθi = sinθr

Where:

By applying the law of reflection to the ray of sunlight (see attachment), we have the following equation:

(3x - 10)° = (2x + 5)°

3x + 2x = 10 + 5

5x = 15

x = 15/3

x = 5.

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Answer:

5e?

Step-by-step explanation:

so if i help let me know this please

[tex]22e - 5e - 8e - 4e = 5e[/tex]

Answer:

x=172°

Step-by-step explanation:

5x-11=3x-5

2x-11=5

2x=16

x=8

180-8=172

The measure of the bigger angle is 117°

What are Supplementary Angles?

Two angles are said to be supplementary if their sums total 180 degrees.

Let,  x be the angle

and, x + 54 other angle measure.

we know, sum of Supplementary angle is 180°

so, the equation will be

x + (x + 54) = 180°

2x + 54 = 180

2x = 180 - 54

2x = 126

x = 63°

x + 54 = 63 + 54 = 117°

Therefore, The measure of the bigger angle 117°

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The total distance of the trip is 50 miles

From the question, we have the following parameters

Distance completed = 40%

Distance travelled = 20 miles

Represent the total distance with x

So, we have the following equation

Distance travelled = Distance completed  *Total distance

This gives

Distance travelled = Distance completed  * x

So, we have

20 miles = 40% * x

Divide both sides by 40%

x = 50 miles

Hence. the length of the trip is 50 miles

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The restaurant salesman will pay a commission of $1,052

Commission is the amount of money that is paid to a worker when a work is completed.

The commission rate of the total sales is 4%

= 4/100

= 0.04

The total sales for the week is $26,300

The commission that will be paid can be calculated as follows

= 26,300 × 0.04

= 1.052

Hence the amount of commission that will be paid is $1,052

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Answer:

y = - 1

Step-by-step explanation:

[tex]\frac{4}{y}[/tex] + 2 = [tex]\frac{10}{5y}[/tex]

multiply through by 5y to clear the fractions

20 + 10y = 10 ( subtract 20 from both sides )

10y = - 10 ( divide both sides by 10 )

y = - 1

Answer:

a. Yes

Step-by-step explanation:

If you plug in the ordered pairs, the -5 is x and 16 is y.

The equation would look like this:

16=30x-14

Add 14 on both sides

14+16=30

30=30x

divide by 30 on both sides

1=1

a. Yess

Paige's profit for the three-month period given the information provided in the question is $569.84.

Profit is the difference between total revenue and total cost. Revenue is the product of total units sold and the price per output.

Profit = revenue - cost

Revenue from selling the $15 bracelet = total bracelets sold for the 3 months x price of the bracelet

(8 + 11 + 22) x 15

41 x $15 = $615

Revenue from selling the $20 bracelet =  total bracelets sold for the 3 months x price of the bracelet

(7 + 6 + 14) x $20

27 x $20 = $540

Total revenue = $615 + $540 = $1,155

Total cost =  $292.58  x 2  = $585.16

Profit = $1,155 - $585.16 = $569.84

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The value of 6 divided by 396 is 0.1515.

Multiplication is the inverse of division. If 3 groups of 4 add up to 12, 12 split into 3 equal groups adds up to 4 in each group in division. The primary purpose of division is to determine how many equal groups are formed or how many people are in each group when equitably sharing.

The steps include:

Step 1: Take the first digit of the dividend from the left.

Step 2: Divide it by the divisor and write the answer on top as the quotient.

Step 3: Subtract the result from the digit and then write the difference below.

Step 4: Bring down the next digit of the dividend.

In this case, 6/396 will give the value illustrated above.

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The slope of the line represented by the equation; 4/5x - 3 is; 4/5.

It follows from the task content that the slope of the line represented by the equation; (4/5)x - 3 is to be determined.

Recall, from line geometry and equation of lines;

The slope-intercept form of the equation of a line, y is given as; y = mx + c.

Where, m is the slope and c is the y-intercept.

Therefore, by comparison of the equation defined as; 4/5x - 3; it follows that the slope of the equation is; 4/5.

Ultimately, the required slope is; 4/5.

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1. There will be $102, 826 in the account in 25 years.

2. The total amount of money you will put into the account is $60, 000

3. The total interest that you would have earned is $42,826.

For us to calculate the future value of the account in 25 years, we shoud use the formula; FV = P x (((1 + r)^nt - 1) / r)

When we insert the values, it will be

FV = 200 x (((1 + 0.04/12)^(12 x 25) - 1) / (0.04/12))

= 102, 825. 9. If we round this up, we should get

$102, 826

For us to calculate the total amount of money you put into the account, we should us the formula;

Total Deposits = Monthly Deposit x Number of Months

If we insert the values it wil be

200 x (25 x 12)

60,000

Lasty, if we are to find the total interest earned:

Total Interest = Future Value - Total Deposits

$102, 826 - 60,000

=  $42,826

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