Please help with math ?

Answer: B

Step-by-step explanation:

8  twin-size blanket , y = 1 queen-size blankets will be the fabric used

According to the given information

let

x = number of yards of fabric required to make a twin-size blanket.

y = the number of yards of fabric required to make a queen-size blanket

This week, they used 441 yards of cloth to create 49 twin-size blankets and 49 queen-size blankets:

49x + 49y = 441

The group members finished 21 queen-size blankets and 48 twin-size blankets last week, using 405 yards of cloth altogether:

48x + 21y = 405

Solving the two equations

1029x + 1029y = 9261

2352x + 1029y = 19845

hence

Solving the above two equations

We get

1323x = 10584

x = 8

Putting the value of x in above one equation

y = 1

8  twin-size blanket , y = 1 queen-size blankets will be the fabric used

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The table with the absolute guessing errors should be completed as follows;

Guess                                  2    15   10   8    12   19   20   5    7    9

Absolute guessing error   12    1      4    6    2     5    6    9    7    5

A graph of the guess and absolute guessing error is shown in the image attached below.

Yes, the absolute guessing error is a function of the guess because every guess (input value) has one absolute guessing error (output value).

In Mathematics, the margin of error (MOE) is sometimes referred to as an absolute guessing error and it can be defined as a measure of the difference that exist between an observed value and a true value of the population parameter.

Mathematically, the absolute guessing error for the guesses made by these group of ten friends with respect to the actual number of 14 as follows;

Absolute guessing error = 14 - 2 = 12

Absolute guessing error = 14 - 15 = 1

Absolute guessing error = 14 - 10 = 4

Absolute guessing error = 14 - 8 = 6

Absolute guessing error = 14 - 12 = 2

Absolute guessing error = 14 - 19 = 5

Absolute guessing error = 14 - 20 = 6

Absolute guessing error = 14 - 5 = 9

Absolute guessing error = 14 - 7 = 7

Absolute guessing error = 14 - 9 = 5

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you are examining the data with a stem-and-leaf plot. here is the start of the plot. finish the plot. 3|6

3| 0 2 4 5 6 8 9

A stem-and-leaf plot is a type of data display that shows the frequency of data items in a set. The plot consists of two columns, a stem column and a leaf column. The stem column contains the leading digit or digits of each data item, and the leaf column contains the remaining digits.

In this case, the stem is 3 and the leaf column is 6. To finish the plot, we need to add other data items to the leaf column which have the same stem (3). So, the completed plot would look like this:

3| 0 2 4 5 6 8 9

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The probability that a student chosen randomly from the class has a sister is 3/5.

The probability of an event is the fraction of the number of favorable occurrences of an event to the total occurrences of the event.

P(a) = n(a)/n(s)

where 'a' is an event.

The given data table shows how many students have a brother or a sister in a class of students.

The number of students who have both a sister and a brother = 6

The number of students who have only a brother and do not have a sister  = 3

The number of students who have only a sister and do not have a brother = 12

The number of students who do not have both a sister and a brother = 9

So, the total number of students in the class = 6 + 3 + 12 + 9 = 30

Then, the probability that a student chosen randomly from te class has a sister is

= (number of students who have a sister)/total number of students

= (6 + 12)/30

= 18/30

= 3/5

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Answer:

Step-by-step explanation:

We observe that there are p² polynomials of the form x² + ax + b in Zp.

Since there are p choices for each of a and b.

Now a polynomial which is reducible over Zp may be rewritten in the form

(x - c)(x - d)

where c and d are roots.  

So there are p choices if c = d

and if c ≠ d then there are [tex]\frac{p(p-1)}{2}[/tex] choices, the division of 2 eliminates repeated pairs.

Therefore there are p² - ( p + [tex]\frac{p(p-1)}{2}[/tex]) polynomials irreducible over Zp.

A polynomial is said to be irreducible if it cannot be factored into nontrivial polynomials over the same field. The property of irreducibly depends on the field or ring to which the coefficients are considered to belong. Irreducible polynomials appear naturally in polynomial factorization and algebraic field extension.

A polynomial expressible as the product of two or more polynomials of lower degree is known as Reducible polynomial.

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The all the factors of x³ + 5x² + 2x – 8 are (x+4)(x-1) and (x+2) , the correct options are (c) , (d) and (f) .

In the question ,

it is given that the equation is f(x) = x³ + 5x² + 2x – 8 ,

we have to find the factors of f(x) = x³ + 5x² + 2x – 8 .

We know that ,The Factor Theorem states if (x-t) is a factor of f(x) if and only if f(t)=0 .

So , Option(a)  Let g(x) = x + 5 be a factor

that means for  x = -5 , f(-5) = (-5)³ + 5(-5)² + 2(-5) – 8 = 2 ≠ 0 ,

hence it is not a factor .

In option (b) Let g(x) = x - 5 be a factor

that means For  x = 3 , f(3) = (3)³ + 5(3)² + 2(3) – 8 = 70 ≠ 0 ,

hence it is not a factor .

In option (c) Let g(x) = x + 4 be a factor

that means For  x = -4 , the equation is f(-4) = (-4)³ + 5(-4)² + 2(-4) – 8 = 0 ,

hence it is a factor .

In option (d) Let g(x) = x - 1 be a factor

that means For  x = 1 , f(1) = (1)³ + 5(1)² + 2(1) – 8 = 0 ,

hence it is a factor .

In option (e) Let g(x) = x + 3 be a factor

that means For  x = -3 , it becomes f(-3) = (-3)³ + 5(-3)² + 2(-3) - 8 = 4 ≠ 0 ,

hence it is not a factor .

In option (f) Let g(x) = x + 2 be a factor

that means For  x = -2 ,the equation f(-2) = (-2)³ + 5(-2)² + 2(-2) - 8 [tex]=[/tex] 0 ,

hence it is a factor .

Therefore , the factors are (x+2) , (x - 1) and (x + 4) .

The given question is incomplete , the complete question is

Select all of the factors of x³ + 5x² + 2x – 8.

(a) x + 5

(b) x – 3

(c) x + 4

(d) x – 1

(e) x + 3

(f) x + 2

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The required graph of the given function has been shown.

Given that,
To draw the graph of the composite function,

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
Illustrating the function on the graph for the respective domain
f(x) = 0 for x ≤ -1
f(x) = -x -1 for -1 < x ≤ 2
f(x) = -1 for x > 2

Thus, the required graph of the given function has been shown.

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If the decision of enrolling in the course in independent events, the probability of not enroll in chemistry is 0.55

The chances of enroll in physics = 10%

The chances of the not enroll in physics but enroll in chemistry = 45%

The probability is the ratio of the number of favorable outcomes to the total number of outcomes

The probability = Number of favorable outcomes / Total number of outcomes

Given that her decision of enrolling in a course is independent of enrolling in other courses

The probability of not enroll in chemistry = 1 - The probability of enroll in chemistry

Substitute the value in the equation

The probability of not enroll in chemistry = 1 - 0.45

= 0.55

Therefore, the probability of not enroll in chemistry is 0.55

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Answer:To find the mean of the heights of the 17 students, we need to add up all of the heights and divide the sum by the number of students. The sum of the heights is 1777 cm, and when we divide this by 17, we get a mean height of 104 cm.

To find the median of the heights of the 17 students, we first need to put the heights in order from least to greatest. The heights in order are 101,102,106,109,110,110,112,115,115,115,115,115,117,120,120,123,125. There are 17 students, so the median is the height of the 9th student, which is 115 cm.

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

As we know that the area of triangle is 1/2 × base × height so A.TQ

1) finding the triangle area = 1/2 × base × height

= 6 × 5.

= 30

2) finding the area of rectangle = l×b

= 12 × 6

= 72

Now to find total area is 72 + 30 which will be 102

so the answer is = 102

The complement of set A is-

A' = {2, 4, 5, 6, 7, 8, 9, 10}

We have -

A' = U - A

A' = {1,2,3,4,5,6,7,8,9,10} - {1,3,5,7}

A' = {2, 4, 5, 6, 7, 8, 9, 10}

Therefor, the complement of set A is -

A' = {2, 4, 5, 6, 7, 8, 9, 10}

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The given equation can be written in standard form as x + 6y + 11 = 0.

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

The given equation is 2y + 3 = −1/3 (x − 2).

It can be written in the standard form of ax + by + c = 0 as follows,

2y + 3 = −1/3 (x − 2)

=> 3(2y + 3) = -1(x − 2)

=> 6y + 9 = 2 - x

=> 6y + x + 9 + 2 = 0

=> x + 6y + 11 = 0

Hence, the standard form of the given equation is x + 6y + 11 = 0.

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Josiah will take 1.5 hours to travel to work at the speed of 55 miles per hour.

As the speed and time are inversely proportional to each other, we can represent it as -

speed(i)/speed(f) = time(f)/time(i), where I represents initial and f represents final. Now, keep the values in formula to find the time (final).

35/55 = time(f)/2.5

Rewriting the equation according to variable time(f).

time(f) = (35×2.5)/55

Performing multiplication on Right Hand Side of the equation

time(f) = 87.5/55

Performing division on Right Hand Side of the equation

time(f) = 1.59 hours

Hence, it will take 1.59 hours.

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The complete question is -

The speed (or rate) Josiah travels to work is inversely proportional to time it

takes to get there. If he travels 35 miles per hour it will take him 2.5 hours to get to work. How long will it take him if he travels 55 miles per hour?

Sampling distribution of mean, Sampling distribution of proportion and T-distribution.

An example of a sampling distribution is a probability distribution of a statistic that is derived by repeated sampling of a particular population. It describes a variety of potential possibilities for a statistic, such the mean or mode of some variable in a population.

When you repeat your survey or poll for all potential samples of the population, you get the sampling distribution of a proportion. For instance, you may conduct many polls rather than asking 1000 cat owners which cat food they prefer.

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Answer:

μ = 150

σ = 18

n = 35

μx¯ = 150

σx¯ = 3.04

Step-by-step explanation:

We are given population mean μ=150 and population standard deviation σ=18, and want to find the mean and standard error of the sampling distribution, μx¯ and σx¯ for samples of size n=36.

By the Central Limit Theorem, the means of the two distributions are the same:

μx¯=μ=150

To find the Standard Deviation of the sampling distribution, we divide the population standard deviation by the square root of the sample size:

σx¯=σn−−√=1835−−√≈3.04

Answer:

Answer

d = 840t + 0

g(x) is shifted 4 units left and -8 units down from f(x).

when y=f(x)

When y = f (x + a), the function is either shifted to the right by a units (a 0) or to the left by a units (a > 0).

g(x)=(x+4)-2⇒f(x−8)

This causes f (x) to be moved by 8 units to the right.

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The value of the test statistics is , χ² = 15.3902

The value of P is less than 0.005 and the conclusion which we can draw from this is that  the health insurance coverage is depending on the size of the business in point a.

The percentages of employees without health insurance based on company size for small , medium and large companies is ,

We established our null hypothesis and alternate hypothesis as

H0: The availability of health insurance for employees is unrelated to the size of the business

H1 :The availability of employee health insurance is depending on the size of the business.

2) The alpha level for significance is set at 0.05.

3) The H0 test statistic is

O is the measured frequency, and E is the anticipated frequency, so that 2 = (O - E)2/E

This has a chi-square distribution that is around (3-1) (2-1)= 2 d.f.

We reject the null hypothesis that employee health insurance coverage is NOT independent of the size of the company because the calculated 2 = 15.3902 falls in the critical area 2 5.99.

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B.A quadrilateral with two pairs of parallel sides

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.

Few examples of a parallelogram are rhombus, rectangle, and square.

A quadrilateral with both pairs of opposite sides parallel is known as a parallelogram.

Additionally, a parallelogram has the following qualities:

Congruent opposite angles;

The opposing factions are in agreement;

Additional angles can be found nearby;

The diagonals cut each other in half.

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Angle θ in radians is 12/5 or 2.4 radians.

Define Arc Length

Arc length is more accurately described as the length along the perimeter of any circle or curve (arc). The arc length is the measurement of any distance along the curved path that forms the arc. Arc refers to a segment of a curve or the circumference of a circle. Each of them is shaped like a curve. An arc's length is more than the distance in a straight line between its endpoints (a chord).

Given,

radius = 5 cm

length of arc = 12 cm

We know that,

θ = length of arc / radius

Now, plug in the values

θ = 12 / 5 or 2.4 radians

Hence,angle θ in radians is 12/5 or 2.4 radians.

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Answer: 2.4

Step-by-step explanation:

radius = 5 cm

length of arc = 12 cm

θ = length of arc / radius

θ = 12 / 5 or 2.4 radians

2.4 radians

Answer:

Enrique

Step-by-step explanation:

9 has the factors 1, 3 and 9.  That is an odd number of factors (3).

The distributive equivalent expression of 4(w -2r + 4) is 4w -4(2r) + 4(4)

distributive law, also called distributive property, in mathematics, the law relating the operations of multiplication and addition, stated symbolically as a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac. From this law it is easy to show that the result of first adding several numbers and then multiplying the sum by some number is the same as first multiplying each separately by the number and then adding the products.

a(b + c) = ab + ac

using the above distributive law and comparing the expression below

4 (w - 2r + 4)

we can write it as 4w -4(2r) + 4(4)

In conclusion the equivalent expression is  4w -4(2r) + 4(4)

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$9.86, Kendra donates to the charity.

Kendra worked 8 hours and 30 minutes last week

She earns $ 11.60 per hour

She will earn money if she works for 30 minutes = $(11.60/2)

Therefore,

Total amount of money she earns last week = $((11.60×8) + (11.60÷2))

                                                                            = $(92.8+5.80)

                                                                            = $98.6

Kendra donates 1/10th of the total money she earns in a week

Therefore,

Amount she donate last week = total amount she earns last week * 1/10

                                                         = $(98.6× (1÷10))

                                                         =$9.86

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The ways you can draw all of the marbles from the bag is 33! ways

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

Total number of marbles, n = 33

Total numbers of marbles picked at a time, r = 1

From the question, the marbles are selected without replacement

This means that the number of ways the marbles can be drawn from the bag is calculated using the following factorial formula

Total = n!

Where

n = 33

Substitute the known values in the above equation

Total = 33!

Apply the factorial formula

n! = n * (n - 1) * (n - 2) * .... * 1

So, we have

Total = 33 * 32 * 31 * 30 * .... * 1

Evaluate

Total = 8.6833176e+36

Hence, the number of ways is 33!

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The less risky reimbursement method for the hospital is fee for service.

Given,

Rosebud lane's cost structure;-

We have to find the lass risky reimbursement method for the hospital;

Reimbursement method;-

A system of reimbursement that pays for each time a service is rendered. A system of payment that bases compensation on the volume of services delivered rather than the number of lives covered. A fee-for-service reimbursement system that takes service costs into account

Therefore,

The best reimbursement method that suits for the hospital is fee for service which is less risky also.

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The correct effect of the note issuance on Platte's financial statements is A. Cash and Notes Payable increased by $5,000 on the balance sheet and an increase in Financing Activity on the Cash Flows Statement.

The journal entry to record the issuance of the 5-year note payable for $5,000 by Platte Corporation on January 1, Year 1 includes:

Debit to Cash

Credit to Notes Payable.

This entry increases the Cash account, an asset that appears on the balance sheet.

It also increases the Notes Payable, a liability on the balance sheet.

On the Cash Flow Statement, the issuance is a financing activity as cash inflow is increased by the amount.

January 1, Year 1:

Note payable = $5,000

Note period = 5 years

Interest rate = 5%

Annual payment = $1,156

Thus, the note issuance does not affect the Income Statement and will not have an effect on the Equity, but Option A is correct.

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Answer Options are attached.

Using graphical method to solve the system of inequality, the number of banana is 2 and mango is 10

A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

In this question, we can set the unknown variables as;

0.2x + 2y = 20 ...eq(i)

x + y ≥ 12 ..eq(i)

Solving x and y

This can be done graphically;

The number of banana and mango is approximately 2 and 10 respectively

Kindly find the attached graph below

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The set of points includes all of the solutions is (x, - 4/5 x + 2).

What is the solution of an equation?

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Given equation is

y = - 4/5 x + 2

The value of x can be any real number.

The value of y is - 4/5 x + 2.

The solution of the equation is (x, - 4/5 x + 2).

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