Grayson measured a line to be 10.9 inches long. If the actual length of the line is 13.4
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?

The probability that Cherish, Taffy, Haunter, and Maverick are chosen is 1/126

The total number of ways to choose 4 dogs out of 9 is given by the combination formula:

9Cr4 [this reads "nine combination four"]

9Cr4 = 9! / (4! 5!)

        = 126

This means there are 126 possible outcomes, each equally likely.

The number of ways to choose Cherish, Taffy, Haunter, and Maverick out of the 9 dogs is:

5Cr0 * 4Cr4 = 1

This means there is only 1 favourable outcome.

Therefore, the probability of choosing Cherish, Taffy, Haunter, and Maverick is:

1/126

So the answer is 1/126.

Learn more about probability here:

https://brainly.com/question/24756209

#SPJ1

We got x = 84.50 by using Pythagorean theorem.

angle of semicircle is always be 90°.

[tex]115^2 = 78^2 + x^2[/tex]

[tex]13225 = 6084 + x^2[/tex]

[tex]x^2 = 13225- 6084[/tex]

[tex]= 7141[/tex]

[tex]x = \sqrt{7141}[/tex]

[tex]x = 84.50[/tex]

Learn more about Pythagorean theorem:

brainly.com/question/14930619

If Robert ate lunch at 11:am and he ate a snack 4and a half hours later, Robert ate his snack at 3:30 pm

To find out what time Robert ate his snack, we need to add 4 and a half hours to the time he ate lunch.

Since he ate lunch at 11:00 am, we can convert this time to 24-hour format by adding 12 hours to get 11:00 + 12:00 = 23:00.

Next, we add 4 and a half hours to 23:00 by converting the half hour to minutes and adding it to the minutes portion of the time:

23:00 + 4 hours + 30 minutes = 27:30

However, since there are only 24 hours in a day, we need to convert this time back to 12-hour format. To do this, we subtract 12 hours from 27:30 to get 15:30.

Therefore, Robert ate his snack at 3:30 pm (or 15:30 in 24-hour format).

In summary, we added 4 and a half hours to the time Robert ate lunch, converted the resulting time to 24-hour format, subtracted 12 hours to account for the excess of 24 hours, and then converted the time back to 12-hour format to obtain the time Robert ate his snack.

To learn more about time click on,

https://brainly.com/question/21978294

#SPJ4

The value of one square in each sample is:

(a) 2

(b) 6

(c) 3

(d) 5

Let x represent the value one square. Thus, the value of one square in each sample can be determined as follow.

(a) 2x + 1 = 5        (Left side is equal to right side)

2x = 5 - 1

2x = 4

x = 4/2

x = 2

(b) 10 = x + 2 + 2

10 = x + 4

x = 10 - 4

x = 6

(c) 5 + 1 + x = 9

6 + x = 9

x = 9 - 6

x = 3

(d) 25 = 5x

x = 25/5

x = 5

Learn more about square on:

https://brainly.com/question/24487155

#SPJ1

For the experiment of birth of children,

a) Sample space is S = { G, BG, BBG, BBBG, BBBB}.

b) The probability for each of the simple events in the sample space, 0.5, 0.25, 0.125, 0.0625 and 0.0625.

c) The probability distribution function for X is 0.5, 0.25, 0.125, 0.0625 and 0.0625.

d) The table form of probability density function is present in above figure.

We have a woman who decides to have children until she has first a baby girl or until she has four children, which event occurred.

a) Sample space is S = { G, BG, BBG, BBBG, BBBB} where G and B represents the birth of baby boy and baby girl.

b) Since, birth become independent so P( B) = P( G) = 0.5. Using multiplcation rule, the probability for each of the simple events, P( G) = 0.5

P( BG) = P( B) P(G) = 0.25

P( BBG) = P(B)× P(B)× P(G) = 0.125

P( BBBG) = P(B)× P(B)× P(B) ×P(G)

= 0.0625

P( BBBB) = P(B)× P(B)× P(B) ×P(B)= 0.0625

c) Let X be a variable such that it denotes number of children. So, X can take value from set { 1,2,3,4}.

The probability of a girl child is for each birth = 0.5

Therefore, P( X = 1) = { only 1 girl} = P( G)

= 0.5

P(X = 2) = { one boy and one girl } = P( BG) = P(B) P(G) = 0.25

P( X = 3) = { two boys one girl } = P( BBG) = 0.125

P( X = 4) = { three boys one girl or four all boys } = P( BBBG) + P( BBBB) = 0.0625 + 0.0625

= 0.125

So, the above values of probability distribution function for random variable X.

d) A table form picture of the probability distribution function for X is present in above figure. Hence, the required table is known.

For more information about probability distribution function, visit :

https://brainly.com/question/25301796

#SPJ4

a) option 4-t test for one mean.

b) Null hypothesis: μ_Shadyside - μ_Oakland <= 0 (Mean monthly rent of apartments in Shadyside is not higher than in Oakland).

Alternative hypothesis: μ_Shadyside - μ_Oakland > 0 (Mean monthly rent of apartments in Shadyside is higher than in Oakland).

a) The most appropriate statistical test for this scenario would be (vi) test for two independent means, also known as two-sample t-test. This test is used to compare the means of two independent samples to determine if they are significantly different from each other. In this case, we are comparing the mean monthly rent of apartments in Shadyside and Oakland, and we have two independent samples.

b) The appropriate hypotheses for the two-sample t-test are as follows:

Null hypothesis: The mean monthly rent of apartments in Shadyside is equal to the mean monthly rent of apartments in Oakland.

Alternative hypothesis: The mean monthly rent of apartments in Shadyside is greater than the mean monthly rent of apartments in Oakland.

Symbolically, the null hypothesis can be represented as H0: µ1 = µ2, where µ1 and µ2 represent the population means of monthly rent in Shadyside and Oakland, respectively.

The alternative hypothesis can be represented as Ha: µ1 > µ2, indicating that the population mean of monthly rent in Shadyside is greater than the population mean of monthly rent in Oakland

To know more about mean visit:

https://brainly.com/question/31101410?referrer=searchResults

#SPJ4

The domain is all real numbers, range is all positive real numbers. As x decreases, h(x) will decrease. As x increases, h(x) will increase.

The domain of the exponential function h(x) = 125x is all real numbers, as x can take on any value.

The range of the function is all positive real numbers, as the base (125) raised to any power (x) will always be positive.

As x decreases, h(x) will decrease. This is because when the base of an exponential function is greater than 1, as is the case here with 125, the function increases as the exponent increases, and decreases as the exponent decreases. So, as x becomes more negative, h(x) becomes smaller.

As x increases, h(x) will increase. This is because, as mentioned above, when the base of an exponential function is greater than 1, the function increases as the exponent increases. So, as x becomes more positive, h(x) becomes larger.

Overall, the function h(x) = 125x is an increasing function with a domain of all real numbers and a range of all positive real numbers.

To learn more about exponential function click on,

https://brainly.com/question/28028689

#SPJ1

It will take approximately 268.08 cubic feet of air to fill the giant beach ball.

A sphere is a three-dimensional geometric shape that is perfectly round in shape, with every point on its surface equidistant from its center. It is a type of round solid figure that has no edges or vertices. The surface of a sphere is continuous, and it encloses a fixed volume of space.

The formula for the volume of a sphere is:

V = (4/3) × π × r³

where r is the radius of the sphere.

In this case, the radius of the beach ball is 4 feet, so we can substitute this value into the formula:

V = (4/3) ×π × (4)³

V = (4/3) × π × 64

V = 268.08 cubic feet (rounded to two decimal places)

Therefore, it will take approximately 268.08 cubic feet of air to fill the giant beach ball.

To know more about volume, visit:

https://brainly.com/question/1578538

#SPJ1

The values of x and y for the tangent segments to the circle A are: 4 and 8.899 respectively.

A theorem of tangents to a circle states that if from one exterior point, two tangents are drawn to a circle then they have equal tangent segments.

KJ = K L

6x - 3 = 5x + 1

6x - 5x = 1 + 3 {collect like terms}

x = 4

IJ = IH = 11

y² - 10 = 4y + 2

y² - 4y - 2 - 10 = 0

y² - 4y - 8 = 0 {quadratic equation}

using the quadratic formula

y = 8.899 or y = -0.898

Therefore, the values of x and y for the tangent segments to the circle A are: 4 and 8.899 respectively.

Read more about tangent to circle here:https://brainly.com/question/9132922

#SPJ1

Answer:

7.5 cm.

Step-by-step explanation:

The height of a rectangle can be calculated using the rectangle's base and area using the following formula:

height = area / base

This formula can be derived from the formula for the area of a rectangle:

area = base x height

By rearranging this formula, we get:

height = area / base

Therefore, if we know the area and base of a rectangle, we can use this formula to calculate its height.

1) rewrite

Height = are / base

2) plug in

h = 30 cm / 4 cm

3) solve (divide)

height = 7.5 cm

Therefore, the height of the rectangle is 7.5 cm.

As per the mentioned informations, the cash paid for rent during 2014 is calculated to be  $395,000. So, the correct  answer is option (C) i.e. $395,000.

To calculate the cash paid for rent during 2014, we need to use the information given in the problem and apply the following formula:

Cash paid for rent = Rent expense + Prepaid rent at the beginning of the period - Prepaid rent at the end of the period

Substituting the values given in the problem, we get:

Cash paid for rent = $420,000 + $70,000 - $95,000

Cash paid for rent = $395,000

Therefore, it can be concluded that the correct answer is (C) $395,000.

Learn more about Cash :

https://brainly.com/question/13226199

#SPJ4

However, 2/7 is not equivalent to any fraction with denominator 6. Therefore, Maria's claim is incorrect.

A fraction is a way of representing a part of a whole or a ratio between two quantities. It consists of two numbers, the numerator (located above the fraction line) and the denominator (located below the fraction line), separated by a horizontal fraction bar. The numerator represents the number of parts of the whole or the ratio, while the denominator represents the total number of equal parts or the denominator of the ratio.

For example, the fraction 3/4 represents three out of four equal parts or three parts out of a total of four parts. It can also be interpreted as a ratio of three to four. Fractions can be simplified by dividing both the numerator and denominator by their greatest common factor. For instance, the fraction 6/8 can be simplified to 3/4 by dividing both the numerator and denominator by 2.

A counterexample to Maria's claim is the fraction 2/7.

To see this, note that 1/5 is equivalent to 14/70 and 1/7 is equivalent to 10/70. Therefore, any fraction between 1/5 and 1/7 can be expressed in the form n/70, where 10 < n < 14.

However, 2/7 is not equivalent to any fraction with denominator 6. Therefore, Maria's claim is incorrect.

Learn more about fraction below.

https://brainly.com/question/17220365

#SPJ1

The total area is given as 30 sq units.

A composite figure is a two-dimensional shape that is made up of two or more simpler shapes, such as squares, rectangles, triangles, circles, or trapezoids. The area of a composite figure is the total amount of space that is enclosed within its boundaries.

To find the area of a composite figure, you need to first identify all of the individual shapes that make up the figure. Then, you can find the area of each shape using the appropriate formula. Finally, you add up the areas of all the shapes to get the total area of the composite figure.

Read more about area here:

https://brainly.com/question/2607596

#SPJ1

The graph of the data from the table is added as an attachment

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

Jerome is a photographer. He earns $125 per hour

This means that the equation of the function is

f(x) = 125x

Where x is the number of hours he works

Using the above as a guide, we have the following table of values

x    f(x)

1     125

2    250

3    375

4    500

5    625

6     750

Next, we plot the graph from the table of values and the function f(x) = 125x

The graph of the function is added as an attachment

Read more about linear relation at

https://brainly.com/question/30318449

#SPJ1

The measures of the indicated angles are YUZ = 105 and WUZ = 75

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

The circle

From the circle, we hae

2x + 31 + 5x - 5 = 180

Evaluate

x = 22

Next, we have

YUZ = 5x - 5

YUZ = 5(22) - 5 = 105

WUZ = 180 - 105 = 75

XUV = cannot be determined and YWZ = cannot be determined

Read more anout angles at

https://brainly.com/question/28293784

#SPJ1

Answer:

y=2/3x-6 1/3

Step-by-step explanation:

y+1=2/3(x-8)

first do the distributive property.

2/3*x=2/3x

2/3*-8= -5 1/3

2/3x-5 1/3

then we subtract 1 from both sides

y=2/3x-6 1/3

To price the derivative using the two-period binomial model, we need to calculate the expected payoff of the derivative using the risk-neutral probabilities.

The possible outcomes for the two-period binomial model are H and T,  there are four possible states of the world: HH, HT, TH, and TT.

To calculate the expected payoff we need to calculate the probability of each state occurring. The probability of HH occurring is pp=0.60.6=0.36, the probability of HT and TH occurring is pq+qp=0.60.4+0.40.6=0.48, and the probability of TT occurring is qq=0.40.4=0.16.

Next, we can calculate the expected payoff in HH and TT states, the derivative pays off 1, and in the HT and TH states, the derivative pays off 0. The expected payoff of the derivative in the HH and TT states is 10.36=0.36, and the expected payoff in the HT and TH states is 00.48=0.

We need to discount the expected payoffs back to time 0 using the risk-neutral probabilities.

The probability of that state occurring multiplied by the discount factor, which is 1/(1+r), where r is the risk-free interest rate.

Since this is a risk-neutral model, the risk-free interest rate is equal to 1. Therefore, the risk-neutral probability of each state occurring is

HH: 0.36/(1+1) = 0.18

HT/TH: 0.48/(1+1) = 0.24

TT: 0.16/(1+1) = 0.08

Finally, we can calculate the price of the derivative

Price = 0.181 + 0.240 + 0.240 + 0.081 = 0.26

Therefore, the price of the derivative is 0.26.

For similar question on two-period binomial model

https://brainly.com/question/9362207

#SPJ11

Answer:4*10^28, I MAY BE WRONG! perhaps wait for others to answer

Step-by-step explanation:

Planet A has a mass of 4 * 10^28 kilograms, and Planet B has a mass of 5 * 10^26 kilograms. To determine which planet has a larger mass, we can compare the exponents of 10, as the larger exponent indicates a larger value.

In this case, the exponent of 10 for Planet A is 28, and the exponent of 10 for Planet B is 26. Since 28 is larger than 26, we can conclude that Planet A has a larger mass.

To fill in the blanks with a number written in standard notation, we can simply write the mass of Planet A as:

4 * 10^28 kilograms (in standard notation)

Answer:

Set your calculator to degree mode.

1) sin(X)/x = sin(Z)/z

sin(57.5°)/15 = sin(Z)/13

sin(Z) = 13sin(57.5°)/15

Z = 47.0°

2) sin(M)/m = sin(L)/l

sin(32°)/9 = sin(L)/12

sin(L) = 12sin(32°)/9

L = 45.0°, so N = 180° - (32° + 45°)

= 103.0°

3) sin(Q)/q = sin(P)/p

sin(48°)/19 = sin(P)/17

sin(P) = 17sin(48°)/19

P = 41.7°, so R = 180° - (48° + 41.7°)

= 90.3°

4) sin(A)/a = sin(B)/b

sin(85°)/8 = sin(B)/7

sin(B) = 7sin(85°)/8

B = 60.7°

5) sin(D)/d = sin(F)/f

sin(D)/24 = sin(56°)/23

sin(D) = 24sin(56°)/23

D = 59.9°

6) sin(U)/u = sin(V)/v

sin(U)/30 = sin(130°)/45

sin(U) = 30sin(130°)/45

U = 30.7°

Answer: Line AB

Hope this helps

Answer:

A) 11.66190379

B) 9.74679

C)10.24695

D)6.32455532

Step-by-step explanation:

All of these are done by using the equation A^2 + B^2 = C^2, C being the long side and a and b being the short side.

The average value of a necklace at Julie's shop is $57.19.

For the gold necklaces, she has 15 of them worth $120 each. So the total value of the gold necklaces is:

15 x $120 = $1,800

For the silver necklaces, she has 9 of them worth $90 each. So the total value of the silver necklaces is:

9 x $90 = $810

For the plated necklaces, she has 10 of them worth $60 each. So the total value of the plated necklaces is:

10 x $60 = $600

Finally, for the beaded necklaces, she has 30 of them worth $15 each. So the total value of the beaded necklaces is:

30 x $15 = $450

To find the total value of all the necklaces, we add up the value of each type of necklace:

$1,800 + $810 + $600 + $450 = $3,660

Now that we know the total value of all the necklaces at Julie's shop, we can find the average value of a necklace by dividing the total value by the total number of necklaces:

Average value of a necklace = Total value of all necklaces / Total number of necklaces

There are a total of 15 + 9 + 10 + 30 = 64 necklaces at Julie's shop. So the average value of a necklace is:

$3,660 / 64 = $57.19

This means that if you were to randomly select a necklace from her shop, the typical value you could expect it to have is $57.19.

To know more about average here

https://brainly.com/question/16956746

#SPJ4

The complete chart here is

|---Simplify the Polynomial---|--Degree--|--Leading Coefficient--|--Constant--|

|------7a^4 - 3a^3 - 2a + 2------|------4-------|---------------7----------------|--------2-------|

Explain polynomial

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and exponentiation. Polynomials can have one or more terms and are commonly used to model relationships in science and engineering.

What is meant by coefficient?

The coefficient is a numerical factor that is multiplied by a variable or a product of variables in an algebraic expression or equation.

According to the given information

To add the two polynomials, we combine like terms. That is, we add the coefficients of terms that have the same degree.

(7a⁴ - 6a³ + 1) + (3a³ - 2a + 1)

= 7a⁴ + (-6a³ + 3a³) + (-2a) + (1 + 1)

= 7a⁴ - 3a³ - 2a + 2

So, the simplified polynomial is `7a⁴ - 3a³ - 2a + 2`.

The degree of this polynomial is `4` since the term with the highest degree is `7a⁴`.

The leading coefficient of this polynomial is `7` since it is the coefficient of the term with the highest degree.

The constant term of this polynomial is `2` since it is the term with a degree of `0`.

To know more about polynomial visit

brainly.com/question/26227783

#SPJ1

The probability that the student picked at random from the graduating class will be a male would be = 0.51

The probability that the student picked at random from the graduating class will be receiving an education degree = 0.3.

To calculate the probability of the given variables, the formula given below is used.

Probability = Possible outcome/sample space.

For question 1.)

Possible outcome = 4057

sample space = 7909

probability = 4057/7909 = 0.51

For question 2.)

Possible outcome = 2700

sample space =7909

probability = 2700/7909= 0.3

Learn more about probability here:

https://brainly.com/question/24756209

#SPJ1

With the probability that 75% of students favor a difficult final exam, the 95% confidence interval based 60 students for sample proportion is ( 0.64, 0.86).

We have to investigate the believability of my results.

Sample size, n = 60

Confidence nterval = 95%

Sample proportion for students who favour the difficulty of exam, [tex] \hat p[/tex] = 75% = 0.75

We have to determine 95% confidence interval based 60 students. Using the confidence interval formula or sample proportion, [tex]CI = \hat p ± z^* \sqrt{\frac{\hat p ( 1 - \hat p )}{n}}[/tex]

Now, using the Z-distribution table, the value z- score for 95% of confidence interval is equals to 1.96.

Substitute all known values in above formula, [tex]= 0.75 ± 1.96 \sqrt{ \frac{ 0.75( 1- 0.75)}{60}}[/tex]

= 0.75 ± 0.11

= ( 0.64, 0.86)

Hence, required value of interval is ( 0.64, 0.86), i.e., 0.64 < p < 0.86.

For more information about confidence interval, visit:

https://brainly.com/question/17097944

#SPJ4

To determine how fast the height of the pineapple juice is increasing in a cylindrical can with radius 1 inch and filling rate of [tex](2)^{\frac{3}{s} }[/tex], we can use the formula for the volume of a cylinder and then differentiate it with respect to time.

The formula for the volume of a cylinder is [tex]V = πr^2h[/tex], where V is the volume, r is the radius, and h is the height. In this case, r = 1 inch.

Now, we are given [tex]\frac{dV}{dt}= (2)^{\frac{3}{s} }[/tex], which is the rate at which the volume of pineapple juice is increasing.

1. Plug in the radius value into the volume formula: [tex]V=π(1)^{2h}=πh[/tex].
2. Differentiate both sides of the equation with respect to time: [tex]\frac{dV}{dt} = π(\frac{dh}{dt})[/tex].
3. Plug in the given value of [tex]\frac{dV}{dt} :2 =  π \frac{dh}{dt}[/tex].
4. Solve for [tex]\frac{dh}{dt} : \frac{dh}{dt} = \frac{2}{π}[/tex].

So, the height of the pineapple juice is increasing at a rate of [tex]\frac{2}{π}[/tex]  inches per second.

To know more bout a "Cylinder" refer here:

https://brainly.com/question/16134180#

#SPJ11

The only restriction on the domain of the expression is that x cannot be equal to -3. In interval notation, the domain is:

(-∞, -3) U (-3, ∞)

In mathematics, the domain of a function is the set of all possible input values (often x-values) for which the function is defined. It is the set of values that can be plugged into the function to produce a valid output (often y-values).

The expression [tex](x^2 + 3x - 5) / (x^2 + 6x + 9)[/tex] can be simplified as:

[tex](x^2 + 3x - 5) / (x + 3)^2[/tex]

The denominator is [tex](x + 3)^2[/tex], which is always positive. Therefore, the expression is defined for all real values of x except when the denominator is zero, which occurs when:

x + 3 = 0

Solving for x, we get:

x = -3

Therefore, the only restriction on the domain of the expression is that x cannot be equal to -3. In interval notation, the domain is:

(-∞, -3) U (-3, ∞)

To know more about domain visit:

https://brainly.com/question/26098895

#SPJ1

Angle m1 has a value of 113 degrees.

Angles that are vertical (opposite in a vertical direction) Vertical angles, also known as vertically opposite angles, are the opposing angles formed when two lines converge. Angles that are vertically opposite one another are always equal to one another.

Alternate interior angles are made when a transversal joins two coplanar lines. They can be found on the inner side of the parallel lines, but on their transverse sides. The transversal goes through the two coplanar lines at two separate points.

According to the statement, it is creating a pair of linear angles whose sum is 180.

m1 + 67° = 180°

m1 = 113°

To know more about angles visit:

https://brainly.com/question/28451077

#SPJ1

The total area of the four offices in the building is 1296 square feet.

When we talk about the area of a shape, we are referring to the amount of space that it occupies. In this case, since the offices are squares, we can find the area of each office by multiplying the length of one side by itself. This is represented by the formula A = s², where A is the area and s is the length of one side.

So, if each office has a side length of 18 feet, we can find the area of one office by plugging that value into the formula: A = 18² = 324 square feet.

Since there are four offices, we can find the total area of all four offices by multiplying the area of one office by 4: 324 square feet x 4 = 1296 square feet.

To know more about area here

https://brainly.com/question/14994710

#SPJ4

Water vapor is an important component of the Earth's atmosphere, and it plays a crucial role in regulating the climate. water vapor makes up about 0-4% of the Earth's atmosphere by volume . So the correct option is A.

It is a greenhouse gas, which means that it can trap heat in the atmosphere and contribute to global warming. The amount of water vapor in the atmosphere can vary depending on location, temperature, and weather conditions. On average, water vapor makes up about 0-4% of the Earth's atmosphere by volume. This may seem like a small amount, but it has a significant impact on weather patterns and climate. As temperatures rise due to climate change, the amount of water vapor in the atmosphere is expected to increase, which could have further impacts on global climate.

Learn more about Earth's atmosphere,

https://brainly.com/question/13154099

#SPJ4