A page with a purpose and message of a interview

Answer:

1. 795, 23

2. 50, she will finish her candy on November 21 so she won't be able to share with her cousins

3. $276, 71 cars

Step-by-step explanation:

1. your equation: y = 35x + 235

plug in 16 to find how many pictures she will have on may 16: y = 35(16) + 235

you get y = 795

for the second part, you know are trying to find how long it will take to get to 1024 pictures, so you know your y, but you don't know your x

your equation: 1024 = 35x + 235

solve to get x = 22.54

this rounds up to 23, so your answer is 23

2. multiply 8 times 4 to get 32

subtract 32 from 82 to fin how many she has left

you get 50

for the second part, divide 82 by 4 to find how many day it will take to finish her candy

you get 20.5

so no, she will not have candy to share with her cousins, and she will finish her candy on November 21

3. for this, you have a negative y intercept since you need to make $24 to start profiting

your equation: y = 6x - 24

plug in 50 to x: y = 6(50) - 24

you get y = 276

so you make $276 with 50 cars

for the second part, plug in 400 to y: 400 = 6x - 24

solve to get x = 70.66

this rounds up to 71, so your answer is 71

a. The truck rental cost when you drive 85 miles is  $85.7.

b. The number of miles driven when the cost is $65.96 is 0.42x.

a. To find the truck rental cost when driving 85 miles, we can substitute the value of x into the given function.

f(x) = 0.42x + 50

Substituting x = 85:

f(85) = 0.42(85) + 50

= 35.7 + 50

= 85.7

Therefore, the truck rental cost when driving 85 miles is $85.70.

b. To determine the number of miles driven when the cost is $65.96, we can set up an equation using the given function.

f(x) = 0.42x + 50

Substituting f(x) = 65.96:

65.96 = 0.42x + 50

Subtracting 50 from both sides:

65.96 - 50 = 0.42x

15.96 = 0.42x

To isolate x, we divide both sides by 0.42:

15.96 / 0.42 = x

38 = x

Therefore, the number of miles driven when the cost is $65.96 is 38 miles.

In summary, when driving 85 miles, the truck rental cost is $85.70, and when the cost is $65.96, the number of miles driven is 38 miles.

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Based on the given information, the result does not support the findings of the study.

To determine if the result supports the findings of the study, we compare the sample average to the average from the study. In this case, the researchers found that a person in a particular country spent an average of hours a day watching TV in 2010, assuming a population standard deviation of hours per day. However, the sample of people in this scenario averaged hours of television viewing per day.

If the sample average is close to the average from the study, it would support the findings. However, since the sample average is different from the average in the study, it indicates that the result does not support the findings. The difference between the two averages suggests that the sample may not be representative of the population or that there might be other factors influencing the television viewing habits in the sample.

Therefore, the result does not support the findings of the study.

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The series\(Σ 5/n(ln(n))^p\) converges for p > 1.

To determine the values of p for which the series Σ 5/n(ln(n))^p converges, we can use the Cauchy condensation test. The Cauchy condensation test states that if a series a_n is decreasing and positive, then Σ a_n converges if and only if Σ 2^na_2^n converges.

Applying this test to the series Σ 5/n(ln(n))^p, we have:

\(a_n = 5/n(ln(n))^p\)

\(2^na_2^n = 5/(2^n)(ln(2^n))^p = 5/(2^n)(nln2)^p = (5/2^p)(1/n)(1/(ln2)^p)\)

Since\(1/(ln2)^p\) is a constant, we can ignore it and focus on the series 1/n. The series Σ 1/n diverges by the p-series test when p = 1, and converges when p > 1 by the integral test. Therefore, for p > 1, the series Σ 5/n(ln(n))^p converges by the Cauchy condensation test.

Conversely, for p ≤ 1, the seriesdi\(Σ 5/n(ln(n))^p\)diverges, since the term 1/n diverges and the term (ln(n))^p does not compensate for its divergence.

In summary, the series\(Σ 5/n(ln(n))^p\) converges for p > 1 and diverges for p ≤ 1.

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Answer:

cost = 35+0.55*m

Step-by-step explanation:

let miles = m

cost = 35+0.55*m

Step-by-step explanation:

No. of points got from 1 stunt = 50.

No. of points deducted from 1 fail = 40.

6 stunts and 9 falls were gained last week.

So, A/C the number of points earned =

(6×50)-(9×40)

= 300 - 360

= -60

Her score today is 3 times her score from last week so multiply by 3

= (-60) × 3

= -180

If it were multiplied by -3 instead of 3 it would be...

(-60) × (-3)

= 180

The difference would be that on multiplying with positive 3 she would be 180 points in the whole but multiplying with negative three means she is 180 points in the league.

The similarity is that that whole number is same but the symbol adds a difference and the absolute value would be same too.

The angle the right side of the roof makes with the base is 34.67 degrees

The given parameters are:

Base = 13.6

Left = 8.0

Angle between base and the left = 70 degrees

The sketch is added as an attachment

Start by calculating the length AC using:

AC^2 = AB^2 + BC^2 - 2 * AB * BC * cos(B)

This gives

AC^2 = 8^2 + 13.6^2 - 2 * 8* 13.6* cos(70)

Evaluate

AC^2 = 174.54

Take the square roots

AC = 13.21

The angle the right side of the roof makes with the base is then calculated as using the following laws of sines

AB/sin(C) = AC/sin(B)

This gives

8/sin(C) = 13.21/sin(70)

Evaluate

8/sin(C) = 14.06

This gives

sin(C) = 8/14.06

Evaluate

sin(C) = 0.5689

Take the arc sin of both sides

C = 34.67

Hence, the angle the right side of the roof makes with the base is 34.67 degrees

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The angle measure of one of the two congruent angles in the given triangle is 35.3°.

Angle measure is the same for congruent angles.

An ordinary pentagon, for instance, has five sides and five angles, each of which is 108 degrees.

The angles of a regular polygon will always be congruent, regardless of its size or scale.

Vertical Angles, Corresponding Angles, Alternate Interior Angles, and Alternate Exterior Angles.

So, we need to find the remaining 2 congruent angles which are equal:

Then, calculate as follows:

180 - 109.4 = 70.6

70.6/2 = 35.3°

Therefore, the angle measure of one of the two congruent angles in the given triangle is 35.3°.

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The equilibrium price is $0 and the equilibrium quantity is 5 units.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.

Setting Q_d = Q_s, we can equate the equations for demand and supply:

-2Q - 2Q_d = -5 + 3Q_s

Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:

-2Q - 2Q_s = -5 + 3Q_s

Now, let's solve for Q_s:

-2Q - 2Q_s = -5 + 3Q_s

Combine like terms:

-2Q - 2Q_s = 3Q_s - 5

Add 2Q_s to both sides:

-2Q = 5Q_s - 5

Add 2Q to both sides:

5Q_s - 2Q = 5

Factor out Q_s:

Q_s(5 - 2) = 5

Q_s(3) = 5

Q_s = 5/3

Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:

P = -5 + 3Q_s

P = -5 + 3(5/3)

P = -5 + 5

P = 0

Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.

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Answer:

x = -1

y = -2

Step-by-step explanation:

To get y by itself:

3x - y = -1

-y = -1 - 3x

y = 1 + 3x

Solve for x with substitution:

2x = 4(1 + 3x) + 6

2x = 4 + 12x + 6

2x = 10 + 12x

-10x = 10

x = -1

Plug the x value into 3x - y = -1

3(-1) - y = -1

-3 - y = -1

-y = 2

y = -2

Answer:

x = -1 and y = -2

Step-by-step explanation:

2x = 4y +6

x = 2y + 3

3(2y+3) - y = -1

6y+9 - y = -1

6y - y = -10

5y = -10

y = -2

2x = 4(-2) + 6

2x = -8 + 6

x = -4 + 3

x = -1

I hope this helps!

The value of x is 15 units and the value of y is 12 units from the given figure.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the figure, AB is parallel to CD.

∠AOB=∠COD (Vertically opposite angles)

∠OAB=∠ODC (Alternate angles)

By AA similarity ΔAOB similar to ΔCOD

Now, 9/x =y/20 =3/5

9/x=3/5

x=15 units

y/20=3/5

y/4=3/1

y=12 units

Therefore, the value of x is 15 units and the value of y is 12 units from the given figure.

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Answer:

The answer is -4x - 6x^2 + x^2

Hoped this helped!

Approximately 25% of the adult population is allergic to pets with fur or feathers, but only 4% of the adult population has a food allergy. A quarter of those with food allergies also have pet allergies. The probability of having food allergies but not being allergic to pets is 4% - 0.01 = 0.03. The correct option is b.

Given that approximately 25% of the adult population is allergic to pets and 4% has a food allergy, and a quarter of those with food allergies also have pet allergies, we can calculate the probability as follows:

Probability of having food allergies but not being allergic to pets = Probability of having food allergies - Probability of having both food and pet allergies

The probability of having food allergies is 4%, and a quarter of those with food allergies have pet allergies, so the probability of having both food and pet allergies is (4% * 0.25) = 0.01.

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Step-by-step explanation:

y = -11x - 4

y + 11x = -4

y + 11x + 4 = 0

I'm pretty sure that's the standard form

Step-by-step explanation:

2(x+8)

2x+16..................

Answer:

Step-by-step explanation:

One important statistic in baseball is a pitcher’s earned run average, or ERA. This number represents the average number of earned runs given up by the pitcher per nine innings. The following table lists the portion of the ERAs for pitchers playing for the New York Yankees and the Baltimore Orioles as of July 22, 2010; the complete data, labeled ERA , are available on the text website.

 New York

 Yankees ERA          Baltimore  Orioles ERA

 Sabathia 3.13        Guthrie                     4.58      

 Pettitte 2.88              Millwood                     5.77      

 Burnett 4.99              Matusz                      5.21      

 Hughes 3.99              Bergeson              6.51      

 Vazquez 4.68       Hernandez              4.29      

 Chamberlain 5.80        Berken 2.50      

 Gaudin 6.81             Hendrickson 5.23      

 Rivera 0.98           Albers 4.31      

 Robertson 4.86     Arrieta 4.87      

 Park 5.93        Simon 3.14      

 Mitre 2.88        Ohman 2.57      

 Logan 3.92        Tillman 7.92      

 Marte 4.08        Mata 7.79      

 Aceves 3.00        Meredith 5.40      

 Moseley 7.50        Uehara 2.92      

 Melancon 9.00        Castillo 10.13      

 Albaladejo 5.40        Johnson 6.52      

 Mickolio 7.36      

 Gonzalez 18.00      

a) Calculate the mean and the median ERAs for the New York Yankees. (Round your answers to 2 decimal places.)

Mean is the average sum of the numbers. It is expressed as;

\(\overline x = \frac{\sum Xi}{N}\)

Xi are the individual data

N is the sample size

From the data, the sample size for New York Yankees is 19

\(\sum Xi = 3.13+2.88+4.99+3.99+4.68+5.8+6.81+0.98+4.86+5.93+2.88+3.92+4.08+3.00+7.50+9.00+5.40+7.36+18.00\\\\\sum Xi = 105.19\\\\\overline x = \frac{105.19}{19} \\\\\overline x = 5.54 (to \ 2dp)\)

Median value is the value at the middle after re-arranging.. On rearranging in ascending order;

0.98, 2.88, 2.88, 3.00, 3.13, 3.92, 3.99, 4.08, 4.68)4.86(4.99, 5.40, 5.8, 5.93, 6.81, 7.36, 7.5, 9.00 18.00

Hence the median value is 4.86

b) Calculate the mean and the median ERAs for the Baltimore Orioles. (Round your answers to 2 decimal places.)

\(\sum Xi =4.58+5.77+5.21+6.51+4.29+2.50+5.23+4.31+4.87+3.14+2.57+7.92+7.79+5.40+2.92+10.13+6.52\\\\\sum Xi = 89.66\\\\N = 17\\\\\overline x = \frac{89.66}{17} \\\overline x = 5.27 (to\ 2dp)\)

For the median value:

Re-arrange the value in ascending order

2.50, 2.57, 2.92, 3.14, 4.29, 4.31, 4.58, 4.87)5.21(5.23, 5.40, 5.77, 6.51, 6.52, 7.79, 7.92, 10.13

Hence the median value is 5.21

c.) Based solely on your calculations above, which team is likely to have the better winning record?

The team that is likely to have the better winning record is the team with the highest mean value.

Since New York Yankees has the highest mean value of 5.54, hence the are likely to have the better winning record.

Box plots are used to represent variation in a given dataset.

The statistic that is the same for both box plot is: The interquartile range

I've added the box plots of both pitchers as an attachment

See figure 2 of the attachment on how to read a box plot.

Using the figure 2 as a guide, we have the following statistics.

League A                                                          League B

\(Minimum = 1.1\)                                                 \(Minimum= 1.0\)

\(Q_1 = 3.0\)                                                              \(Q_1 = 3.0\)

\(Q_2 = 4.0\)                                                              \(Q_2 = 3.8\)

\(Q_3 = 5.0\)                                                              \(Q_3 = 5.0\)

\(Maximum = 7.5\)                                                 \(Maximum = 7.3\)

From the above readings, the statistics that have the same value for both leagues are:

\(Q_1 = 3.0\) ----- Lower quartile

\(Q_3 = 5.0\) ---- Upper quartile

The IQR of a dataset is:

\(IQR =Q_3 - Q_1\)

\(IQR =5.0 - 3.0\)

\(IQR =2.0\)

This means that, they have the same interquartile range.

Hence, both leagues have the same (b) interquartile range

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The area of circle Z is approximately 32.67 square centimeters, given that chord VX is 9 cm and arc XY measures 40 degrees.

To find the area of circle Z, we need to determine its radius.

Given that chord VX is equal to the radius of the circle, we can use the properties of a circle to find the radius.

In a circle, the perpendicular from the center to a chord bisects the chord. So, if we draw a line segment from the center of circle Z to chord VX, it will bisect VX into two equal parts. Let's call the point of intersection with VX as point M.

Since chord VX is equal to 9 cm, we can determine that MV (half of VX) is equal to 9/2 cm = 4.5 cm.

Next, we are given that arc XY measures 40 degrees. We can use the relationship between the central angle, the radius, and the arc length of a circle to find the radius.

The formula to calculate the arc length is:

Arc length = (Central angle / 360) * 2πr

We know that arc XY measures 40 degrees, so the arc length is given by:

40/360 * 2πr = 4πr/9

Since arc XY is equal to the distance from point X to point Y along the circumference of circle Z, we can equate it to 4πr/9.

4πr/9 = 4.5 cm

Now, we can solve this equation to find the radius of circle Z:

4πr = 4.5 * 9

4πr = 40.5

r = 40.5 / (4π)

r ≈ 3.22 cm (rounded to two decimal places)

Now that we have the radius of circle Z, we can calculate its area using the formula

Area = πr²

Area = π * (3.22 cm)²

Area ≈ 32.67 cm² (rounded to two decimal places)

Therefore, the area of circle Z is approximately 32.67 square centimeters.

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--The given question is incomplete, the complete question is given below "  A chord of a circle is equal to the radius of the circle. if chord vx = 9 cm and arc xy = 40 degrees, what is the area of circle z? "--

Answer:

Step-by-step explanation:

If we let A, C, and J represent the number of stickers collected by Ann, Clair, and Josh. respectively, then we have the relations ...

  A = J +7

  J = 2C

  A + C + J = 157

__

Substituting the first equation into the last, we have ...

  J +7 + C + J = 157

  C +2J = 150 . . . . . . . collect terms, subtract 7

Substituting the second equation into this one, we have ...

  C +2(2C) = 150

  C = 150/5 = 30 . . . .  divide by the coefficient of C

  J = 2·30 = 60

  A = 60 +7 = 67

Ann collected 67 stickers, Clair collected 30, and Josh collected 60 stickers.

Answer:

Ann has 67

Josh has 60

Claire has 30

The 7 inches pen would not fit in the box with dimensions 3 in × 4 in × 5 in

The 7 inches long pen would not fit in a box with dimensions of 3 inches x 4 inches x 5 inches because the dimensions of the box are not long enough to accommodate the length of the pen.

Specifically, the length dimension of the box (3 inches) is less than the length of the pen (7 inches), so the pen would not be able to fit inside the box.

Additionally, even if the length of the box was greater than 7 inches, the width and height dimensions of the box (4 inches and 5 inches, respectively) would likely be too small to accommodate the diameter of the pen.

In conclusion, the pen is too long for the box, and the box is not wide or tall enough to fit the pen.

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Answer:

797

Step-by-step explanation:

First, we need to find the number of pizzas sold last week by finding the sum of the pizzas sold:

307 + 224 + 161 + 191 = 883

Next, we need to find the proportion of stuffed crust and pan style pizzas sold last week by adding the number of both sold and dividing by the total number of pizzas sold:

(191+161) / 883 = 352 / 883

Now we need to multiply this proportion by 2000 to find the expected number of stuffed crust or pan style pizzas:

(352 / 883) * 2000 = 797.28 = 797

Answer:

In the given relation {(4, 2), (-3, 0), (2, 5), (-1, 4), (0, 1)}, the x-values are 4, -3, 2, -1, and 0.

Therefore, the domain of the relation is {4, -3, 2, -1, 0}.

Step-by-step explanation:

Answer:

{4, -3, 2, -1, 0}.

Step-by-step explanation:

Answer:

about 0.3

Step-by-step explanation:

8/9 is about 0.89

0.89/3 = about 0.3

Answer:

hi

Step-by-step explanation:

The corresponding confidence interval is the narrowest for the 99% level of confidence, as higher confidence levels require wider intervals to provide increased certainty.

A confidence interval represents the range within which the true population parameter is likely to fall based on the sample data. The level of confidence indicates the probability that the true parameter lies within the interval.

When the level of confidence increases, the width of the confidence interval also increases. This is because a higher level of confidence requires a wider interval to capture a larger range of possible values.

In the given options, the 99% level of confidence will provide the narrowest confidence interval. This is because it allows for a higher margin of error and wider range, resulting in a narrower interval. On the other hand, lower confidence levels such as 90%, 95%, and 98% will have wider intervals to provide a higher level of certainty.

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Answer:

5:9

Step-by-step explanation:

The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.

The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.

It accounts for the fact that sampling without replacement affects the variability of the sample mean.

When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.

In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.

On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.

This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.

Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.

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Answer:

Twice the sum of 13 and x is not greater than 15 Translate each verbal phrase into an algebraic expression.

Step-by-step explanation:

13 is not greater than x

We know:

\({{ \diamond\diamond \quad{ \boxed{ \pink{ \sf{Volume \: of \: Sphere ={ \large{ \frac{4}{3} \pi {r}^{3} }}}}}}} \quad \diamond \diamond}\)

where,

\( \: \)

\({\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large {\frac{4}{3} \times \frac{22}{7} \times {6}^{3} }}}}}\)

\( {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{88}{21} \times 6 \times 6 \times 6 }}}}}\)

\( {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{88}{21} \times 216 }}}}} \)

\( {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{19008}{21} }}}}} \)

\( {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ { \boxed{ \red{ \sf{905.14 {yards}^{3} }}}}}}}}} \)

Thus, The volume of Sphere is 905.14yards³. (Approx.)

Answer:

9kg

Step-by-step explanation:

100% = 12kg

75% =

75/100 × 12 = 9

Answer:

Step-by-step explanation:

list the numbers from smallest to greatest, then whatever number is in the middle is the median.

Answer:

arrange your numbers in numercial order, count how many numbers you have , if you have an odd number divide by 2 and round up to get the position of the median number , if you have an even number divide by 2 go to the number in that position and average it with the number with the next higher position to get the median.

Step-by-step explanation:

hope this helps you how to find the median