Find the area of the shaded sector. Round to the nearest tenth and use 3.142 or the pi button on your calculator for pi.

answers: (all answers are squared)
28.3 yd2

4.7 yd2

9.4 yd2

7.1 yd2

The question is :

2x²y'' + 5xy' + y = x² - x;

y = c1x^(1/2) + c2x^(-1) + 1/15(x^2) - 1/6(x), (0,infinity)

The functions (x^-1/2) and (x^-1) satisfy the differential equation and are linearly independent since W(x^-1/2, x^-1)= ____?____ for 0

Answer:

The functions x^(-1/2) and x^(-1) are linearly independent since their wronskian is (-1/2)x^(-5/2) ≠ 0.

Step-by-step explanation:

Suppose the functions x^(-1/2) and x^(-1) satisfy the differential equation 2x²y'' + 5xy' + y = x² - x;

and are linearly independent, then their wronskian is not zero.

Wronskian of y1 and y2 is given as

W(y1, y2) = y1y2' - y1'y2

Let y1 = x^(-1/2)

y1' = (-1/2)x^(-3/2)

Let y2 = x^(-1)

y2' = -x^(-2)

W(y1, y2) =

x^(-1/2)(-x^(-2)) - (-1/2)x^(-3/2)x^(-1)

= -x^(-5/2) + (1/2)(x^(-5/2)

= (-1/2)x^(-5/2)

So, W(y1, y2) = (-1/2)x^(-5/2) ≠ 0

Which means the functions are linearly independent.

The functions [tex]\rm (x^\frac{-1}{2})[/tex] and [tex]\rm (x^{-1})[/tex] satisfy the differential equation and are linearly independent since [tex]W(x^{-1/2}, x^{-1})[/tex] = [tex](-x^{5/2} )+ \dfrac{1}{2}.(x^{5/2})[/tex] .

Given that,

The given two-parameter family of functions is the general solution of the non-homogeneous differential equation on the indicated interval.

[tex]\rm 2x^2y^n+5xy'+y = x^2-x[/tex]

[tex]\rm y = c_1x^{\frac{-1}{2} }+c_2{-x} \dfrac{1}{15}x^2=\dfrac{1}{5}x ,[/tex]

We have to determine,

The functions [tex]\rm (x^\frac{-1}{2})[/tex] and [tex]\rm (x^{-1})[/tex] satisfy the differential equation and are linearly independent since [tex]W(x^{-1/2}, x^{-1})[/tex] for 0?

According to the question,

The functions [tex]\rm (x^\frac{-1}{2})[/tex] and  [tex]\rm (x^{-1})[/tex] satisfy the differential equation,

[tex]\rm 2x^2y^n+5xy'+y = x^2-x[/tex]

And are linearly independent, then their differentiation is not zero.

The differential equation is given by,

[tex]\rm Y(y_1, y_2) = y_1.y_2'- y_2.y_1'[/tex]

The value  [tex]\rm y_1'[/tex] is,

[tex]\rm y_1 = x^{(-1/2})\\\\ y_1' = \dfrac{-1}{2} x^{(-3/2)}[/tex]

And value of [tex]\rm y_2'[/tex]

[tex]\rm y_2 = x^{(-1)}\\\\y_2' = -x^{(-2)}[/tex]

Therefore,

[tex]\rm Y(y_1, y_2) = (x^{-1/2}.(-x)^{-2}-(-\dfrac{1}{2}.x^{-3/2}).(x^{-1})\\\\\rm Y(y_1, y_2) = (-x^{5/2} )+ \dfrac{1}{2}.(x^{5/2})\neq 0\\\\[/tex]

Hence, The value of the function is not equal to zero then the function is linearly independent.

For more details refer to the link given below.

https://brainly.com/question/18510715

Answer:

[tex] \binom{18}{5}= 8568[/tex]

Step-by-step explanation:

Note that we have in total 18 items. Even though we are given information regarding the amounts of items per type, the general question asks the total number of ways in which you can pick 5 out of the 18 objects, without any restriction on the type of chosen items. Therefore, the information regarding the type is unnecessary to solve the problem.

Recall that given n elements, the different ways of choosing k elements out of n is given by the binomial coefficient [tex]\binom{n}{k})[/tex].

Therefore, in this case the total number of ways is just [tex]\binom{18}{5}=8568[/tex]

Answer:

Given:

Number of objects: n = 18

Type A objects: 10

Type B objects: 5

Type C objects: 3

To find:

In how many ways can you Pick 5 of the 18 objects (order does not matter)

Step-by-step explanation:

When the order does not matter we use Combination.

Formula to calculate combination:

C(n,r) = n! / r! ( n - r )!

n = 18

r = 5

Putting the values:

C(n,r)

= C(18,5)

= 18! / 5! ( 18 - 5 )!

= 18! / 5! ( 13 )!

= ( 18 * 17 * 16 * 15 * 14 * 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 ) / ( 5 * 4 * 3 * 2 * 1 ) * (13 * 12 * 11 * 10 *9* 8 * 7 *6 * 5 * 4 * 3 * 2 *1 )

Cancel 13!

= (18 * 17 * 16 * 15 * 14 ) / ( 5 * 4 * 3 * 2 * 1 )

= 1028160 / 120

= 8568

So you can pick 5 of the 18 objects in 8568 ways.

The solution of the quadratic equation is x = ±3/7

Quadratic equations are equations that have a leading degree of 2

Given the quadratic function

49x^2 = 9

Divide both sides by 49
49x^2/49 = 9/49
x^2 = 9/49
x = √9/49
x = ±3/7

Hence the solution of the quadratic equation is x = ±3/7

Learn more on quadratic equation here: https://brainly.com/question/1214333

Answer:

0% probability you are guilty

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

[tex]\mu = 1, \sigma = 0.02[/tex]

If the metal is deemed faulty when the depth of penetration is more than 1.3 millimeters, what is the probability you are guilty?

This is 1 subtracted by the pvalue of Z when X = 1.3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1.3 - 1}{0.02}[/tex]

[tex]Z = 15[/tex]

[tex]Z = 15[/tex] has a pvalue of 1

1 - 1 = 0

0% probability you are guilty

We can use the z-score formula to calculate the probability of being guilty of distributing faulty metal based on the depth of penetration. The probability is practically zero.

To find the probability that you are guilty of distributing faulty metal, we need to calculate the probability that the depth of penetration is more than 1.3 millimeters. Since the depth of penetration is normally distributed with a mean of 1 millimeter and a standard deviation of 0.02 millimeters, we can use the z-score formula to standardize the value. The z-score is calculated as (x - μ) / σ, where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

Substituting the values into the formula, we have z = (1.3 - 1) / 0.02 = 15. Therefore, we need to find the probability that the z-score is greater than 15. Using a standard normal distribution table or calculator, we find that this probability is practically zero. Hence, the probability that you are guilty is practically zero.

https://brainly.com/question/40005132

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Answer:

77

Step-by-step explanation:

69+34=103

180-103=77

all triangles add up to 180

I hope this helps!

Answer:

The answer is 77

Step-by-step explanation: We know the angles add up to 180 in   a triangle. so we simply do 69+34=103 then we do 180-103= 77

Answer:

Dr. Potter gave 32 polio vaccinations and 28 measles vaccinations

Step-by-step explanation:

Total of 184 doses

Polio vaccination= 4 doses

Measles vaccination=2 doses

184=4p+2m

92=2p+m

Lets plug in 32+28

92=(2*32)+28

92=64+28

p=32, m=28

Let's try to complete the squares.

The x-part starts with [tex]x^2+10x[/tex], which is the beginning of [tex]x^2+10x+25=(x+5)^2[/tex]. So, we'll think of [tex]x^2+10x[/tex] as [tex](x+5)^2-25[/tex]

Similarly, we have that

[tex]y^2+12y = (y+6)^2-36[/tex]

So, the equation becomes

[tex]x^2 + y^2 + 10x + 12y + 25 = 0 \iff (x+5)^2-25 + (y+6)^2-36+25=0 \iff (x+5)^2+ (y+6)^2-36=0 \iff (x+5)^2+ (y+6)^2=36[/tex]

Now we have writte the equation of the circle in the form

[tex](x-k)^2+(y-h)^2=r^2[/tex]

When the equation is in this form, everything is more simple: the center is [tex](k,h)[/tex] and the radius is [tex]r[/tex].

Answer:

Center// (-5,-6)

Radius// 6

Answer:

6?    i hope this helps some!   :)

Step-by-step explanation:

each has 6 in between the number

5 or 6 p there is a possibility of there being 6

7 or 8 there is at least 6 in this cup

6 or 7 there is at least 6 in this cup

7 or 5 there is a possibility of there being 6

Final answer:

There are either 7 or 5 sweets under each cup. The declaration 'Seven or five' is correct.

Explanation:

Each cup has a declaration about the number of sweets in it: 'Five or six', 'Seven or eight', 'Six or seven', and 'Seven or five'. Only one of the declarations is correct. To find the number of sweets under each cup, we need to analyze the given information.

If the declaration 'Five or six' is correct, then there can be 5 or 6 sweets under the cup. But since there are no other cups with 5 or 6 as a declaration, this declaration cannot be correct.

If the declaration 'Seven or eight' is correct, then there can be 7 or 8 sweets under the cup. But since there are no other cups with 7 or 8 as a declaration, this declaration cannot be correct.

If the declaration 'Six or seven' is correct, then there can be 6 or 7 sweets under the cup. But since there is another cup with the declaration 'Seven or five', and both declarations share the number 7, this declaration cannot be correct.

Therefore, the only remaining declaration 'Seven or five' must be correct. So, there are either 7 or 5 sweets under the cup with this declaration.

In conclusion, there are either 7 or 5 sweets under each cup, and the declaration 'Seven or five' is correct.

Answer:

There is no relationship between your year in school and having a job.

Step-by-step explanation:

In this instance, the chi sq test need to be performed.

Chi sq is used to determine if there is a significant relationship between two categorical variables.

The two variables here are year in school and employment status.

The two variables are independent(no relationship exists)

This implies that there is null hypothesis

Therefore, the Null Hypothesis is

There is no relationship between your year in school and having a job.

Answer:

47

Step-by-step explanation:

Since the 5 numbers have a mean of 11, the sum of the numbers is 5 X 11 = 55. To make the largest number as large as possible, we make the other numbers must be as small as possible. However, in order for the median to be 3, the middle number must be 3. Since this is the middle number, there must be two other numbers that are at least 3. So, we let three of the other four numbers be 1, 1, and 3 to make them as small as possible. Finally, this means the remaining number is 55 - 1 - 1 - 3 - 3= 47. Hope that helps!

Answer:

47

Step-by-step explanation:

Answer:

it would be 5 feet

Step-by-step explanation:

Solving for the velocity v(t) of a cannonball considering air resistance involves integrating the differential equation m dv/dt = -mg - kv, where k is a constant of proportionality. Given initial conditions, this allows one to calculate the cannonball's velocity at any time.

A student has asked how to find the velocity v(t) of a cannonball, considering air resistance, modeled by m dv/dt = -mg - kv, where m is the mass of the cannonball, g is the acceleration due to gravity (32 ft/s2), and k is a constant of proportionality (0.0025). Given the initial velocity v0 = 290 ft/s, the solution involves solving this differential equation with the given initial condition.

However, solving this specific differential equation requires integration techniques that account for the linear dependence of the air resistance on the velocity, which will yield an expression for v(t) as a function of time t. This formula can then be used to calculate the velocity of the cannonball at any given time, illustrating how air resistance affects its ascent and eventual descent.

Answer:

a) 50

b) 6.71

c) 0.0681

Step-by-step explanation:

check the attached file below

Answer:

8 hours

Step-by-step explanation:

6x+20=68

subtract 20 from both sides

6x=48

divide 6 both sides

x=8

Answer:

Step-by-step explanation:

Allocating 3 portions to x and 7 portions to y.

Step-by-step explanation:

Given that,

The percentage of students buy lunch at cafeteria: 30% = x = 0.3

Hence, the students bringing the lunch from home would be = y = 1 - 0.3 = 0.7

Now, the spinner has that equal-sized sections. Also, the probability of x and y are 0.3 and 0.7.

After multiplying both the probability by 10, we get

x = 3

y = 7

It shows that for every three students who buy lunch from cafeteria, seven students bring food from home. Hence, we can allocate the side of spinner for simulation in such as way:

Section 0 = y

Section 1 = y

Section 2 = x

Section 3 = y

Section 4 = y

Section 5 = x

Section 6 = y

Section 7 = y

Section 8 = x

Section 9 = y

Answer:

0.9975

Step-by-step explanation:

check  the attached files below

Answer:

[tex] \overline{AB} \cong \overline{DB} \:\: and \:\: \overline{AC} \cong \overline{DC}[/tex]

Step-by-step explanation:

[tex] \red{ \boxed{ \bold{\overline{AB} \cong \overline{DB} \:\: and \:\: \overline{AC} \cong \overline{DC}}} }\\ \overline{BC} \cong \overline{BC}... (common\: side) \\ [/tex]

Answer:

4711

Step-by-step explanation:

Answer by rothauserc(4711)   (Show Source):  

You can put this solution on YOUR website!

the probability that the first student picked has a lunch is 6/9 or 2/3

the probability that the second student picked has a lunch is 5/8

The special triangle you need is a right isosceles triangle, with legs 1 and hypotenuse [tex]\sqrt{2}[/tex].

As for every right triangle, you can find of the cosine of an angle using the "adjacent/hypotenuse" ratio.

In this case, the two base angles are equal, and so are the two legs. So, it doesn't matter which angle or leg you'll choose, the ratio will be

[tex]\cos(45)=\dfrac{1}{\sqrt{2}}[/tex]

which indeed is both the sine and cosine of 45°

Its approximated value is 0.707...

The cosine of 45 degree as a fraction and as a decimal to the nearest hundredth are  [tex]\( \frac{\sqrt{2}}{2} \)[/tex] and 0.71 respectively.

In a 45-45-90 triangle, which is a special right triangle, the sides are in the ratio [tex]\( 1:1:\sqrt{2} \).[/tex] This means if the legs (both shorter sides) are [tex]\( a \)[/tex], then the hypotenuse is [tex]\( \sqrt{2} \cdot a \).[/tex]

To find the cosine of [tex]\( 45^\circ \):[/tex]

The cosine of an angle in a right triangle is given by the ratio of the adjacent side to the hypotenuse. In a 45-45-90 triangle, each leg is adjacent to the 45° angle, and the hypotenuse is opposite the 90° angle.

Therefore, [tex]\( \cos(45^\circ) = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{a}{\sqrt{2} \cdot a} \).[/tex]

Simplifying this gives:

[tex]\[ \cos(45^\circ) = \frac{a}{a\sqrt{2}} = \frac{1}{\sqrt{2}} \][/tex]

Rationalizing the denominator:

[tex]\[ \cos(45^\circ) = \frac{1}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{2}}{2} \][/tex]

Therefore, the cosine of [tex]\( 45^\circ \)[/tex] as a fraction is [tex]\( \frac{\sqrt{2}}{2} \).[/tex]

To find the decimal value of [tex]\( \frac{\sqrt{2}}{2} \):[/tex]

First, approximate [tex]\( \sqrt{2} \):[/tex]

[tex]\[ \sqrt{2} \approx 1.414 \][/tex]

Now, calculate [tex]\( \frac{1.414}{2} \):[/tex]

[tex]\[ \frac{1.414}{2} \approx 0.707 \][/tex]

Rounded to the nearest hundredth, the decimal form of [tex]\( \cos(45^\circ) \)[/tex] is 0.71.

The diagram of question is:

Answer:

The different ways in which Keely can pick the food and drinks to serve at the bridal shower is 2,772,000.

Step-by-step explanation:

Combinations is a mathematical procedure to determine the number of ways to select k items from n different items, without replacement and irrespective of the order of selection.

The formula to compute the combination of k items from n items is:

[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]

The menu for the bridal shower consists of:

Beverages: 4

Appetizers: 3

Dessert: 4

It is provided that Keely does not have time to cook. SO she goes to the supermarket and there she has the following options:

Beverages: 11

Appetizers: 10

Dessert: 8

Compute the number of ways Keely can select 4 beverages from 11 bottled drinks as follows:

[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]

[tex]{11\choose 4}=\frac{11!}{4!(11-4)!}[/tex]

      [tex]=\frac{11!}{4!\times 7!}[/tex]

      [tex]=\frac{11\times 10\times 9\times 8\times 7!}{4!\times 7!}[/tex]

      [tex]=330[/tex]

Keely can select 4 beverages in 330 ways.

Compute the number of ways Keely can select 3 appetizers from 10 frozen appetizers as follows:

[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]

[tex]{10\choose 3}=\frac{10!}{3!(10-3)!}[/tex]

      [tex]=\frac{10!}{3!\times 7!}[/tex]

      [tex]=\frac{10\times 9\times 8\times 7!}{3!\times 7!}[/tex]

      [tex]=120[/tex]

Keely can select 3 appetizers in 120 ways.

Compute the number of ways Keely can select 4 desserts from 8 prepared desserts as follows:

 [tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]

 [tex]{8\choose 4}=\frac{8!}{4!(8-4)!}[/tex]

      [tex]=\frac{8!}{4!\times 4!}[/tex]

      [tex]=\frac{8\times 7\times 6\times 5\times 4!}{4!\times 4!}[/tex]

      [tex]=70[/tex]

Keely can select 4 desserts in 70 ways.

Compute the total number of ways in which Keely can select 4 beverages, 3 appetizers, and 4 desserts for the party as follows:

Total number of ways = n (4 beverages) × n (appetizers) × n (dessert)

                                    [tex]={11\choose 4}\times {10\choose 3}\times {8\choose 4}[/tex]

                                    [tex]=330\times 120\times 70\\=2772000[/tex]

Thus, the different ways in which Keely  can pick the food and drinks to serve at the bridal shower is 2,772,000.

Area of the sector JKL is 47.89 unit²

How the area of the sector is calculated

From the figure

Given that

JKL is a sector that subtends ∠JKL at the center of the circle JL.

The radius of the circle is KL or JK

Area of a sector = θ/360 * πr²

where

r is the radius

θ is angle subtended at the center

m∠JKL = 112⁰ = θ

JK = 7 units = radius

Therefore,

Area = 112/360*π(7)²

A = 112/360 * 3.142 * 49

= 17243.296/360

= 47.89 unit²

Therefore, area of the sector JKL is 47.89 unit²

Answer:

12/6 = 2 miles per second for d

15/5 = 3 miles per second for c

c runs faster because runs 3 miles every second while d only runs 2 miles per second

Step-by-step explanation:

Answer:

Yes, this provide enough evidence to show a difference in the proportion of households that own a​ desktop.

Step-by-step explanation:

We are given that National data indicates that​ 35% of households own a desktop computer.

In a random sample of 570​ households, 40% owned a desktop computer.

Let p = population proportion of households who own a desktop computer

SO, Null Hypothesis, [tex]H_0[/tex] : p = 25%   {means that 35% of households own a desktop computer}

Alternate Hypothesis, [tex]H_A[/tex] : p [tex]\neq[/tex] 25%   {means that % of households who own a desktop computer is different from 35%}

The test statistics that will be used here is One-sample z proportion statistics;

                                  T.S.  = [tex]\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of 570​ households who owned a desktop computer = 40%

            n = sample of households = 570

So, test statistics  =  [tex]\frac{0.40-0.35}{{\sqrt{\frac{0.40(1-0.40)}{570} } } } }[/tex]

                               =  2.437

Since, in the question we are not given with the level of significance at which to test out hypothesis so we assume it to be 5%. Now at 5% significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics doesn't lies within the range of critical values of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that % of households who own a desktop computer is different from 35%.

Answer:

[tex]z=\frac{0.095-0.125}{\sqrt{0.11(1-0.11)(\frac{1}{200}+\frac{1}{200})}}=-0.959[/tex]    

[tex]p_v =P(Z<-0.959)=0.169[/tex]    

Comparing the p value with the significance level assumed[tex]\alpha=0.05[/tex] we see that [tex]p_v>\alpha[/tex] so we can conclude that we have enough evidence to to FAIL to reject the null hypothesis, and we can't conclude that company A are more reliable than televisions from company B at 5% of significance.

Step-by-step explanation:

Data given and notation    

[tex]X_{1}=19[/tex] represent the number of tvs who need a repair for A

[tex]X_{2}=25[/tex] represent the number of tvs who need a repair for B

[tex]n_{1}=200[/tex] sample 1 selected  

[tex]n_{2}=200[/tex] sample 2 selected  

[tex]p_{1}=\frac{19}{200}=0.095[/tex] represent the proportion estimated for the sample A  

[tex]p_{2}=\frac{25}{200}=0.125[/tex] represent the proportion estimated for the sample B

[tex]\hat p[/tex] represent the pooled estimate of p

z would represent the statistic (variable of interest)    

[tex]p_v[/tex] represent the value for the test (variable of interest)  

[tex]\alpha=0.05[/tex] significance level given  

Concepts and formulas to use    

We need to conduct a hypothesis in order to check if company A are more reliable than televisions from company B (that means p1<p2) , the system of hypothesis would be:    

Null hypothesis:[tex]p_{1} \geq p_{2}[/tex]    

Alternative hypothesis:[tex]p_{1} < p_{2}[/tex]    

We need to apply a z test to compare proportions, and the statistic is given by:    

[tex]z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}[/tex]   (1)  

Where [tex]\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{19+25}{200+200}=0.11[/tex]  

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.    

Calculate the statistic  

Replacing in formula (1) the values obtained we got this:    

[tex]z=\frac{0.095-0.125}{\sqrt{0.11(1-0.11)(\frac{1}{200}+\frac{1}{200})}}=-0.959[/tex]    

Statistical decision  

Since is a left sided test the p value would be:    

[tex]p_v =P(Z<-0.959)=0.169[/tex]    

Comparing the p value with the significance level assumed[tex]\alpha=0.05[/tex] we see that [tex]p_v>\alpha[/tex] so we can conclude that we have enough evidence to to FAIL to reject the null hypothesis, and we can't conclude that company A are more reliable than televisions from company B at 5% of significance.    

Final answer:

To determine if televisions from company A are more reliable than televisions from company B, we can perform a hypothesis test.

Explanation:

To determine if televisions from company A are more reliable than televisions from company B, we can perform a hypothesis test. We will compare the proportions of televisions requiring repairs in the two companies.

Step 1: State the hypotheses:

H0: The proportion of televisions requiring repairs in company A is the same as in company B.

HA: The proportion of televisions requiring repairs in company A is less than in company B.

Step 2: Set the significance level, let's say α = 0.01.

Step 3: Calculate the test statistic. We will use the Z-test for comparing proportions.

Step 4: Calculate the p-value.

Step 5: Compare the p-value to the significance level. If the p-value is less than α, we reject the null hypothesis and conclude that televisions from company A are more reliable than televisions from company B.

By performing the above steps, we can determine if the data shows that televisions from company A are more reliable than televisions from company B.

Answer:

8.40

Step-by-step explanation:

42 divided by 5 equals 8.40 so each person would have to pay $8.40

Final answer:

The expression to represent the split cost of a $42 bill by five friends is 42 / 5, or $8.40 per person.

Explanation:

The expression representing the number of dollars each person paid when five friends split a $42 lunch bill equally would be $42 divided by 5. This can also be written as 42 / 5, which equals $8.40 per person.

For additional practice, let's look at a similar scenario: Mr. and Mrs. Green and their four children went out to dinner, and the meal cost was $72 with a restaurant-added tip of 18%. To find the total cost of the dinner, first calculate the tip amount by multiplying 18% (or 0.18) by the cost of the meal ($72). The tip would be $12.96. Adding this to the original cost, the total comes to $84.96.

Answer:

4 pints

Step-by-step explanation:

There are 8 pints in one gallon, and 2 pints in one quart.

Carrie has 3 gallons of paint. 8*3 = 24 pints of paint.

Bryan has 10 quarts of paint. 10*2 = 20 pints of paint.

24 - 20 = 4. Carrie has 4 more pints of paint.

Answer:

Step-by-step explanation:

Answer:

(ab - 10)(ab + 10)

Step-by-step explanation:

[tex] {a}^{2} {b}^{2} - 100 \\ = (ab) ^{2} - (10)^{2} \\ = (ab - 10)(ab + 10) \\ [/tex]

Answer:

12233445555?????????

Answer:

the original cost is $30 , the percent of the markup is 30% , the markup amount is $9 , the new price is $39.

Step-by-step explanation:

Answer:

$30,30%,9,39

Step-by-step explanation:

ik u hate edgunity good thing this is ur last day