With a two-year agreement, Sarah can add up to 4 lines for $9.99 each. Her first monthly bill totals 89.96. Sarah did not exceed the "anytime minutes" limit and did not engage in "text messaging". How many lines did she add to her plan? Write an equation, and then solve.​

The sample mean of data is 24.19 and median is 3.54. The sign test and hypothesis testing. The boxplot for observation is present above figure. Yes, it support assumption that we are sampling from a normal distribution.

We have a sample data with values 1.48, 4.10, 2.02, 56.59, 2.98, 1.51, 76.49, 50.25, 43.52, 2.96. Also, here consider a sample from a normal distribution with unknown mean and variance, and the hypothesis that the population median (which is the same as the mean in this case) is 3.

Hypothesis testing parameters are

\(Н_0 : \mu = 3 \)

\(H_a : \mu ≠ 3 \)

The sample mean is called the average and it is defined as the ratio sum of data values divided by number of data values.

Median is a statistical measure. It is equals to the middle data value obtained by ordering the data values in ascending order. In case of odd number of data values it is middle value and in case of even number of data values it become mean of two middle values. Here we use Excel function to determine the mean and median values. So, see the above figure, excel command for mean is

'= mean (column contain data values)' and for median '= median ( same column)'. So, mean = 24. 19 and median

= 3.54 . The sign test for hypothesis testing of observations also present in above figure. P-value of test = 0.623 > 0.05 , That is no evidence to reject the null hypothesis. So, population mean = 3. The boxplot of observations also present in above figure.

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Answer:

A. JK and LM lie in the same plane

B. JK and LM do not intersect

E. JK and LM are parallel

Step-by-step explanation:

hope this helped

The number that can be added to w to produce z is 0!

The expressions are given as:

w = 1 + i

z = 1 + i

Both numbers are the same.

This means that:

w = z

It can be rewritten as:

w + 0! = z

Hence, the number that can be added to w to produce z is 0!

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Answer:

The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.

Step-by-step explanation:

a)

Let 'x' be the total number of students in Mrs. Hayko's class.

One-third of the students walk to school: (1/3)x.

The remaining students who do not walk to school: (2/3)x.

Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.

Simplify to find the fraction of students taking the bus: (8/15)x.

b)

Consider different values for 'x' to find a whole number of students taking the bus.

Start with a small number, such as x = 15.

Calculate the number of students taking the bus using (8/15)x.

If the result is a whole number, it's a possible class size.

Repeat with different values of 'x' until a whole number is obtained.

The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.

Answer:

x-2y=-8

Step-by-step explanation:

it is what it is

The equation of the linear function having an x-intercept of -8 and a y-intercept of 4 is y = (1/2)x + 4.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A linear function has an x-intercept of -8 and a y-intercept of 4.

So, The two points on the line are (- 8, 0) and (0, 4).

Now, slope(m) = (4 - 0)/(0 + 8).

slope(m) = 4/8.

slope(m) = 1/2.

As it has a y-intercept of 4 it is the value of b, In y = mx + b.

Therefore, The linear function is y = (1/2)x + 4.

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Answer:

Let's say he stopped 19 people on Wednesday.

Wed - 19 people stopped

Tues - 19-12 is 7, so he saved 7 people that day

Mon - 19-7 is 12. so 12 people stopped on monday

so in all (including Wednesday) he stopped 38 people

Step-by-step explanation:

I'm sorry if it's wrong

The reasonable domain for this function is 0 < x < 50

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

Given;

A = 50W - W2

The area of a rectangle cannot be negative;

The practical domain of A is determined when;

50W-W^2>0

Taking common factor W

W(50-W)>0

Since W must be positive W>0

50-W>0

Or equivalently

50>w

W<50

The total interval is

0<W<50

Therefore, the domain of the function will be 0 < x < 50

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There is not sufficient evidence to conclude that the candidate's popularity has changed.

According to the given information, a telephone poll was conducted early in the election campaign, which showed that out of 800 registered voters, 460 favour a particular candidate. Later, just before election day, a second poll was conducted, which showed that out of 1000 registered voters, 520 now favour that candidate.

To determine if there is sufficient evidence that the candidate's popularity has changed, we need to perform a hypothesis test using the 5% significance level.

Let's set up the null and alternative hypotheses:

Null hypothesis (H₀): The candidate's popularity has not changed.
Alternative hypothesis (Hₐ): The candidate's popularity has changed.

We can use the proportion test to analyze this situation. The test statistic for the proportion test is calculated using the formula:

z = (p - p0) / √(p0(1 - p0) / n)

Where:
p is the sample proportion (520/1000 = 0.52)
p0 is the hypothesized proportion (460/800 = 0.575)
n is the sample size (1000)

Now, let's calculate the test statistic:

z = (0.52 - 0.575) / √(0.575(1 - 0.575) / 1000)
z = -0.055 / √(0.575 * 0.425 / 1000)
z ≈ -0.055 / √(0.244625 / 1000)
z ≈ -0.055 / √0.244625 * 1000
z ≈ -0.055 / 15.649
z ≈ -0.0035

To determine if there is sufficient evidence to reject the null hypothesis, we compare the test statistic (-0.0035) with the critical value at the 5% significance level.

Since the test statistic is not more extreme than the critical value, we fail to reject the null hypothesis. So, nothing concrete can be said about the change.

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Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

The steps to grapj the given equation y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2) is C.

Given

y - 4 = (1/3) (x+ 2)

The steps should be used to graph the equation is given below:

y - 4 = (1/3) (x+ 2)

y - 4 = 0 => y = 4

x + 2 = 0 => x = -2

Plot point ( - 2 , 4)

count left 3 units and down 1 unit and plot a second point.

as for every 3 units change in x, there is one unit change in y

x going left  & y going down is the same direction

Draw a line through the two points.

Therefore, the correct answer is option C.

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Jim will take 3.6 hours to climb the same hill, assuming he walks at a constant speed of 5 miles/hour.

We can start by using the formula: distance = speed x time

Let's assume that the distance of the hill is 'd' miles. Jerry walks at a speed of 6 miles/hour and walked for 3 hours to climb the hill, so the distance he covered is: distance = speed x time

distance = 6 x 3

distance = 18 miles

Now, we can use the same formula to find out how long Jim will take to climb the same hill. We know that Jim walks at a speed of 5 miles/hour, so: distance = speed x time

d = 5t

where 't' is the time it takes for Jim to climb the hill in hours. We can set the distance that Jim covers equal to the distance that Jerry covered, since they both climbed the same hill: 5t = 18

Solving for 't':

t = 18/5

t = 3.6 hours

Therefore, Jim will take 3.6 hours to climb the same hill, assuming he walks at a constant speed of 5 miles/hour.

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From the given inequality 56C + 64R < 9000, we know that the total amount of fuel the airplane can consume in C minutes of clear sky flying and R minutes of rain cloud flying combined is less than 9000 gallons.

Let's assume that the airplane consumes fuel at a rate of F gallons per minute while flying through clear skies.

Therefore, in C minutes of clear sky flying, the airplane consumes a total of CF gallons of fuel. Similarly, in R minutes of rain cloud flying, the airplane consumes a total of 64R gallons of fuel.

The total amount of fuel consumed by the airplane in C minutes of clear sky flying and R minutes of rain cloud flying is given by:

Total fuel consumed = CF + 64R

Since the airplane can't consume all its fuel during this time, we have:

CF + 64R < 9000/56

Simplifying the above inequality:

CF + 64R < 161.54

Now we know that the airplane can fly for C minutes through clear skies and R minutes through rain clouds without consuming all of its fuel. So, we can write:

CF + 64R = F(C + R)

Let's substitute this in the inequality we derived above:

F(C + R) < 161.54

Dividing both sides by C + R:

F < 161.54 / (C + R)

We don't have enough information to solve for F, but we do know that it must be less than 161.54 / (C + R).

To find out how much fuel the airplane has before takeoff, we need to know the total amount of fuel it can consume. We can find this by assuming that the airplane can fly for T minutes before running out of fuel, where T is the total flight time.

Let's assume that the airplane consumes fuel at a rate of F1 gallons per minute during the entire flight. Then, the total amount of fuel consumed during the flight is:

F1T

If we assume that the airplane flies only through clear skies during the entire flight, then we can use the given information to find out how much fuel it has before takeoff:

56C < F1T

Simplifying the above inequality:

C < F1T/56

Again, we don't have enough information to solve for F1 or T, so we can't find the exact amount of fuel the airplane has before takeoff.

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The option that is not a factor that affects your auto insurance premiums is; C: The Colour of your Car

The amount you'll pay for car insurance is determined by a number of  factors. Now, the factors that mainly determines the bottom line on your auto policy include;

Now, looking at the various factors and comparing to the given options, the only odd one out is the colour of your car.

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The color of your car is not a factor that affects your auto insurance premiums.

Option C is the correct answer.

Auto insurance premiums are calculated based on a variety of factors, including the year, make, and model of your car, where you live, your driving history, your age, and the overall value of your car.

We have,

Insurance companies use statistical models to assess the risk associated with insuring a particular driver and car, and these models take into account a wide range of factors that are known to impact accident rates and insurance claims.

However, the color of your car is not typically considered a significant factor in determining insurance premiums.

While some people believe that red cars or other bright colors may be more likely to get pulled over or be involved in accidents, there is little evidence to support this idea.

Insurance companies are more concerned with the make and model of your car, as well as other factors that are known to impact risk.

Thus,

The color of your car is not a factor that affects your auto insurance premiums.

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Answer:

two feet have got some really nice / chill beats and songs. I listen to mostly rock / metal so this is the best i got for you lol

Step-by-step explanation:

I'm in year 10 but here are some useful websites...

Significant figures are the meaningful digits in a measurement or calculation that represent the accuracy or precision of the measurement or calculation.

The number of significant figures in each of the following are:

(a) 84.0 ± 0.8: Three significant figures because all the digits are certain and the last digit is an estimated digit (uncertainty).

(b) 4.1750 × 10^9: Seven significant figures because all digits are certain (including zeroes).

(c) 2.600 × 10^-6: Four Significant figures because all the digits are certain, and the first digit is not zero.

(d) 0.0075: Two significant figures because the first two zeroes are not significant.

Thus, the answer will be: (a) Three significant figures (b) Seven significant figures (c) Four significant figures (d) Two significant figures

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The height the anchor begins to drop is 17.5 m

Since a Naval Carrier dropped anchor off the coast. The massive anchor drops at 3.5 m/s and will be 52.5 meters under the surface of the water after 20 seconds.

Let

The total height the anchor drops is thus H = h + h'

Now, the total height the anchor drops H = vt where

So, equating both equations, we have

vt = h + h'

Making h subject of the formula, we have that

h = vt - h'

Given that

Substituting the values of the variables into the equation, we have that

h = vt - h'

h = 3.5 m/s × 20 s - 52.5 m

h = 70 m - 52.5 m

h = 17.5 m

So, the anchor drops 17.5 m

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Answer:

i believe number 1 is 18 and number 2 is 9.

Step-by-step explanation:

if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.

Answer :

Answer:

x >46/3

Step-by-step explanation:

Do the product first because of the more than

-3x + 17 < -29

Subtract 17 from each side

-3x + 17 -17< -29-17

-3x < -46

Divide each side by -3, remembering to flip the inequality

-3x/-3 > -46/-3

x >46/3

Perimetrul paralelogramului este 14 cm, iar aria este 12 cm².

Pentru a găsi perimetrul unui paralelogram, trebuie să adunăm lungimea tuturor laturilor sale. În acest caz, avem două perechi de laturi egale: AB = DC = 7 cm și AD = BC = 3 cm + 4 cm = 7 cm. Astfel, perimetrul paralelogramului este 2 x (AB + AD) = 14 cm.

Pentru a găsi aria unui paralelogram, trebuie să înmulțim lungimea unei laturi cu înălțimea corespunzătoare. În acest caz, înălțimea este linia AD, care este perpendiculară pe BD. Prin urmare, aria paralelogramului este AD x BD = 3 cm x 4 cm = 12 cm².

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Answer:

283

First, multiply 15 and 18. You get 270. Then divide 12 and 3. You get 4. Add 270, 4, and 9 together to get 283

a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);

b. x = 3.5, y = 4.5, OFV = 59.5;

c. s1 = 0, s2 = 2, s3 = 0.

a. The extreme points of the feasible region are the vertices of the polygon formed by the intersection of the constraint lines. In this case, the extreme points are (0,0), (5,0), (3.75, 3.75), (3.5,4.5), and (0,8).

b. To find the optimal solution and the objective function value, we evaluate the objective function at each extreme point and choose the point that maximizes the objective function. In this case, the point (3.5, 4.5) maximizes the objective function with a value of 59.5. Therefore, the optimal solution is x = 3.5 and y = 4.5, and the objective function value is 59.5.

c. The slack variables represent the surplus or slack in each constraint. We calculate the slack variables by subtracting the actual value of the left-hand side of each constraint from the right-hand side. In this case, the values of the slack variables are s1 = 0 (indicating no slack in the first constraint), s2 = 2 (indicating a surplus of 2 in the second constraint), and s3 = 0 (indicating no slack in the third constraint).

Therefore, the correct option is:

a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);

b. x = 3.5, y = 4.5, OFV = 59.5;

c. s1 = 0, s2 = 2, s3 = 0.

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Answer:

Below in bold.

Step-by-step explanation:

4y + 2 > 2.8

4y > 2.8 - 2

4y > 0.8

y > 0.8/4

y > 0.2.

The slope intercept form of the given question is y = -1/5x + 12/5

Slope-intercept equation is one of the special forms of linear equations.

The slope can be found using the point-slope equation.

y₂-y₁ = m(x₂-x₁)

where (x₁,y₁) and (x₂,y₂) are (-10,2) and (10,-2)

-2-2 = m[10-(-10)]

-4 = m(10+10)

-4 = m(20)

m = -4/20

m = -1/5

Therefore, the slope is -1/5

To find the intercept,

y = mx + b

Let us take the (x,y) as (-10.2), Then

2 = -1/5(2) +b

2 = -2/5 + b

b = 2 + 2/5

b = (10 + 2)/5

b = 12/5

Therefore, the intercept is 12/5

Therefore, the slope-intercept form of the given question is

y = -1/5x + 12/5 (or)

5y = -x + 12

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Explanation

We are given the following data set:

"14, 13, 15, 18, 16, 16, 17, 25, 18, 10"

We are required to determine the following measures of central tendency:

• Mean

• Median

• Mode

We know that the mean is found by adding all numbers in the data set and then dividing by the number of values in the set.

Therefore, we have:

Hence, the mean is: