The total U.S. apple production increased during the 1973-1988 period from 6.2 to 9.l billion pounds. To the nearest tenth of a percent, what was the percent of increase in apple production in the United States from 1973-1988? plzzzzz help

Answer:

D) 80

Step-by-step explanation:

<7 = <2 b/c they're alternate exterior angles

Among the 769 team members, 706 of them are assigned to operates in 2 shifts schedule. The proportion of team members not assigned to one of the stations is 63 / 769

Proportion means a share from total set being discussed.

Data from the given case:

- The assembly has 769 team members.

- The assembly has 353 stations

- At each station, there are 2 shifts operations.

Assuming that 1 person is assigned to 1 shift operation, then there will:

353 x 2 = 706 person assigned.

The remaining team members that not assigned is:

769 - 706 = 63 person.

Therefore, the share or the proportion of unassigned team members is:

63/769

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Answer:

23.607

Step-by-step explanation:

Given:

$65,575

9%

4 Year

4 x 9% = 0.36

65,575 x 0.36 = 23.607

Not sure if it correct or not try my best

Answer:

2000

Step-by-step explanation:

3 < 5 so 2354 = 2000

Answer:

2400

Step-by-step explanation:

Answer: The mass of the remaining element = 1.1 grams .

Step-by-step explanation:

Exponential equation of decay: \(y=A(1-r)^x\) ...(i), where A = intial value , r= rate of decay in decimal , x= time.

As per given :

Initial mass : A= 140 grams

Rate of decay : r= 21.6% per minute= 0.216 per minute.

x= 20  minutes

Substitute values in (i) , we get

\(y=140(1-0.216)^20\\\\=140(0.784)^2^0=1.077579422\)

Hence, the mass of the remaining element = 1.1 grams .

Answer:

17 days and a half.

Step-by-step explanation:

First, we can find how much money he makes per day cutting lawns. This can be found with the equation:

40 x 5 = 200

He makes $200 a day cutting lawns.

Now we can divide his goal money ($3500) by his daily rate ($200) to get the number of days it will take to reach his goal.

3500 ÷ 200 = 17.5

It will take him 17.5 days to reach his goal.

Answer:

17.5 to 18 days

Step-by-step explanation:

40x5=200

he is making $200 everyday

He would have to be working 17.5 to 18 days. If he works 17.5 days he would reach is goal. if he works 18 days he would be over his goal so either works.

(a) The probability that exactly 19 of the 31 high school graduates enroll in college is approximately 0.1216. (b) The probability that more than 15 of the 31 high school graduates enroll in college is approximately 0.8590.

It would be considered unusual for more than 25 of the 31 high school graduates to enroll in college.

Part 1 of 4 (a) The probability that exactly 19 of the 31 high school graduates enroll in college can be calculated using the binomial distribution formula as P(X=19) = 31C19 * 0.64¹⁹* 0.36¹² ≈ 0.1216.

Part 2 of 4 (b) The probability that more than 15 of the 31 high school graduates enroll in college can be calculated using the binomial distribution formula and the complement rule as P(X>15) = 1 - P(X≤15) = 1 - ∑(i=0 to 15) 31C(i) * 0.64ᶦ * 0.36⁽³¹⁻ᶦ⁾ ≈ 0.8590.

Part 3 of 4 (c) The probability that fewer than 13 of the 31 high school graduates enroll in college can be calculated using the binomial distribution formula as P(X<13) = ∑(i=0 to 12) 31C(i) * 0.64ᶦ * 0.36⁽³¹⁻ᶦ⁾.

Part 4 of 4 (d) Whether it would be unusual for more than 25 of the 31 high school graduates to enroll in college depends on the chosen significance level. If we use a significance level of 0.05, then we can calculate the probability of getting 25 or more successes as P(X≥25) = 1 - P(X<25) ≈ 0.0008, which is less than the significance level. Therefore, it would be considered unusual for more than 25 of the 31 high school graduates to enroll in college.

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Step-by-step explanation:

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Using the binomial distribution, it is found that the number of students that would be expected to select a gold-wrapped candy  from the bag is given by:

The candies are chosen with replacement, which means that for each student, the probability of choosing a gold wrapped candy is independent of any other student, hence the binomial distribution is used.

The expected value of the binomial distribution is:

\(E(X) = np\)

In this problem:

Then, the expected value is:

\(E(X) = np = 15\times \frac{1}{3} = 5\)

Hence, option B is correct.

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Answer:

-1, 1, 3

Step-by-step explanation:

Let x equal the first odd integer.

The three consecutive odd integers would be represented by x, then x+2, then x+4.

So 3x + 2(x + 4) = 4(x + 2) - 1

Solve for x

3x + 2x + 8 = 4x + 8 -1

5x + 8 = 4x + 7

x = -1

Explanation

By definition.

so

Let

hence

I hope this helps you

Answer:

A. (0,-2)

Step-by-step explanation:

Meaning of a rational number is a number that can be expressed as the quotient or fraction

p/q of two integers, a numerator p and a non-zero denominator q.

Answer:

(A). (0,-2)

Step-by-step explanation:

y-intercept means the points in which the funtion crosses the y-axis. According to the graph you can see that at (0,-2) it crosses the axis and therefore (0,-2) is the answer.

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Deone's length was 19.5 inches at birth. Assuming his development proceeds normally, his length should be about 29.5 inches by his first birthday.

We know that According to the Centers for Disease Control and Prevention (CDC), the average length for a boy at birth is around 20 inches, and the average length for a boy at one year of age is around 30 inches.

To estimate Deone's length at one year of age, we use the average growth rate between birth and one year, which is approximately 10 inches.

So , we add 10 inches to Deone's length at birth of 19.5 inches to estimate his length at one year of age:

⇒ Estimated length at 1 year = 19.5 inches + 10 inches = 29.5 inches

Therefore, Deone's length should be about 29.5 inches by his first birthday, assuming that his development proceeds normally.

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Answer:

24

Step-by-step explanation:

first you have to add 2 and 4; 6. then multiply it by 4; 24

Answer:

-4/7, -1/19, 7/4

Step-by-step explanation:

The fractions converted into decimals would be -0.05, 1.75, -0.57

The domain of a function is the set of numbers that can go into a given function.

The set of input values (x) for which a function generates an output value is known as the domain of the function (y).

we can write \(y = f(x).\)

domain is the full set of x-values that can be plugged into a function to produce a y-value.

The most effective approach to finding a domain will depend on the type of function.

The domain is expressed using an open bracket or parenthesis, the domain's two endpoints separated by a comma, and then a closed bracket or parenthesis.

To find domain of function we should know the property of that function like what the function can take inside it.

Like if we consider square root function \(\sqrt{x}\) so inside root negative numbers are not allowed so value of x should be positive means x>=0

So domain of square root function [0, ∞).

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Answer:

The linear function f(x) = -6x - 4

Step-by-step explanation:

The equation of the linear function f(x) is y = m x + b, where

The rule of the slope is m = \(\frac{y2-y1}{x2-x1}\) , where  

∵ f(x) = y ⇒ is the function of the set of ordered pairs (x, y)  

∴ f(-2) = 8 is the point (-2, 8)  

∴ f(1) = -10 is the point (1, -10)

∴ x1 = -2 and y1 = 8

∴ x2 = 1 and y2 = -10

→ Substitute them in the rule of the slope to find it

∵ m = \(\frac{-10-8}{1--2}\) = \(\frac{-18}{1+2}\) =  \(\frac{-18}{3}\)

∴ m = -6

→ Substitute it in the form of the equation above

∵ y = -6(x) + b  

∴ y = -6x + b

→ To find b substitute x by 1 and y by -10

∵ x = 1, y = -10

∴ -10 = -6(1) + b

∴ -10 = -6 + b

→ Add 6 to both sides

∵ -10 + 6 = -6 + 6 + b

∴ -4 = b

∴ b = -4

→ Substitute it in the equation

∴ y = -6x + -4

∴ y = -6x - 4

∵ y = f(x)

∴ The linear function f(x) = -6x - 4

In the case of the electronic chess game, with a useful life that follows an exponential distribution with a mean of 30 months, we need to determine the length of service time after which the percentage of failed units will approximately equal 50 percent. The options provided are 9 months, 16 months, 21 months, and 25 months.

For the major television manufacturer, the service life of its 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. We are asked to calculate the probability of service lives of at least five years.

1. Electronic Chess Game:

The exponential distribution is characterized by a constant hazard rate, which implies that the percentage of failed units follows an exponential decay. The mean of 30 months indicates that after 30 months, approximately 63.2% of the units will have failed. To find the length of service time when the percentage of failed units reaches 50%, we can use the formula P(X > x) = e^(-λx), where λ is the failure rate. Setting this probability to 50%, we solve for x: e^(-λx) = 0.5. Since the mean (30 months) is equal to 1/λ, we can substitute it into the equation: e^(-x/30) = 0.5. Solving for x, we find x ≈ 21 months. Therefore, the length of service time after which the percentage of failed units will approximately equal 50 percent is 21 months.

2. LED Televisions:

The service life of 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. To find the probability of service lives of at least five years, we need to calculate the area under the normal curve to the right of five years (60 months). We can standardize the value using the formula z = (x - μ) / σ, where x is the desired value, μ is the mean, and σ is the standard deviation. Substituting the values, we have z = (60 - 72) / 0.5 = -24. Plugging this value into a standard normal distribution table or using a calculator, we find that the probability of a service life of at least five years is approximately 1.0000 (or 100% with four digits after the decimal point).

Therefore, the probability of service lives of at least five years for 50-inch LED televisions is 1.0000 (or 100%).

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Accοrding tο the percentage calculatiοn, 45% οf 60 is 27. Thus, D is the cοrrect οptiοn.

A number οr ratiο that can be expressed as a fractiοn οf 100 is referred tο as a percentage in mathematics. If we need tο calculate a percentage οf a number, we shοuld divide it by its entirety and then multiply it by 100. The percentage therefοre refers tο a part per hundred. Per 100 is what the wοrd percent means. The letter "%" stands fοr it.

A part οf a whοle expressed in hundredths,

Tο find 45% οf 60, we can multiply 60 by 0.45:

45% οf 60 = 0.45 × 60 = 27

Therefοre, 45% οf 60 is 27. Answer: 27

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The difference in the distance between the points of impact of the two balls on the ground can be calculated by considering their initial velocities and the height from which they are pushed.

Ball A has an initial velocity of 8.93 m/s, while ball B has an initial velocity of 24.27 m/s. The height from which they are released is 11.27 meters.

To find the difference in the distances traveled, we can use the equation for the horizontal range of a projectile, which is given by:

Range = (Initial Velocity)^2 * sin(2θ) / g

Since the angle of projection is not provided, we assume it to be 45 degrees for both balls, which gives us sin(2θ) = 1.

By substituting the given values and solving for the ranges, we can find the difference in the distances traveled by the two balls.

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\(\\ \rm{:}\rightarrowtail tan50=\dfrac{p}{12}\)

\(\\ \rm{:}\rightarrowtail p=12tan50\)

\(\\ \rm{:}\rightarrowtail p=12(1.19)=14.3\)

Now

Area=

\(\\ \rm{:}\rightarrowtail \dfrac{1}{2}(12)(14.3)=6(14.3)=85.8cm^2\)

The vector orthogonal to the plane through the points P, Q, and R is (8, -8, 12), and the area of triangle PQR is \($\sqrt{301}$\).

For part (a), we can find a nonzero vector orthogonal to the plane through the points P, Q, and R by constructing a normal vector to the plane using the cross product of two vectors in the plane. The two vectors in the plane are \($\vec{PQ} = (1- (-2), 0-1, 1-3) = (3, -1, -2)$\) and \($\vec{PR} = (1-4, 0-2, 1-5) = (-3, -2, -4)$\). Taking the cross product of the two vectors gives us the normal vector to the plane, \($\vec{n} = \vec{PQ} \times \vec{PR} = (8, -8, 12)$\). Therefore, the vector orthogonal to the plane is \($\vec{n} = (8, -8, 12)$.\)

For part (b), the area of triangle PQR can be found using the formula for Heron's Formula, which states that the area of a triangle with sides a, b,and c is given by

\($A = \sqrt{s(s-a)(s-b)(s-c)}$\)

where \($s = \frac{a+b+c}{2}$\) . In this case, the sides are \($a = \|\vec{PQ}\| = \sqrt{3^2 + (-1)^2 + (-2)^2} = \sqrt{14}$, $b = \|\vec{QR}\| = \sqrt{(-2-4)^2 + (1-2)^2 + (3-5)^2} = \sqrt{14}$\), and\($c = \|\vec{PR}\| = \sqrt{(-3)^2 + (-2)^2 + (-4)^2} = \sqrt{29}$\). Plugging these values into the formula, we get

\(= \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{\frac{7(7-\sqrt{14})(7-\sqrt{14})(7-\sqrt{29})}{4}} = \sqrt{7(7-\sqrt{14})^2(7-\sqrt{29})} = \sqrt{7(7-\sqrt{14})^2(\sqrt{14}+\sqrt{29})} = \sqrt{7(7-\sqrt{14})^2\sqrt{43}} = \sqrt{301}$\)Therefore, the area of triangle PQR is \($\sqrt{301}$\)

The vector orthogonal to the plane through the points P, Q, and R is (8, -8, 12), and the area of triangle PQR is \($\sqrt{301}$\).

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Answer:

16x - 4

Step-by-step explanation:

A rectangle have two identical length and two identical width, so to get the perimeter

Two identical length + two identical width = perimeter

2(7x+1) + 2(x-3)

( remember to multiply everything inside the bracket with the 2)

= 14x +2 +2x - 6

= 16x - 4

Answer:

Step-by-step explanation:

You want a system of equations and the price per kg of firing clay and polymer clay given the two purchases ...

We can write general form equations for the cost of each purchase, where x is kg of firing clay, and y is kg of polymer clay:

  5x +24y -64.05 = 0

  25x +8y -51.45 = 0

Using the "cross multiplication method" for solving these equations, we have ...

  ∆ = (5)(8) -(24)(250 = -560

  ∆x = (24)(-51.45) -(8)(-64.05) = -722.40

  ∆y = (-64.05)(25) -(-51.45)(5) = -1344.00

Then the solutions are ...

  x = ∆x/∆ = -722.40/-560 = 1.29

  y = ∆y/∆ = -1344/-560 = 2.40

A kilogram of firing clay is $1.29; a kilogram of polymer clay is $2.40.

__

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Additional comment

The clay sale might ordinarily be written using an equation in standard form:

  5x +24y = 64.05

Writing each equation in general form is a setup for the use of the cross-multiplication method for solution.

The coefficients of x are related by a factor of 5 and the coefficients of y are related by a factor of 3, so it would also be convenient to solve these equations using the elimination method, eliminating either variable.

The attachment shows another matrix method solution. (The cross-multiplication method is similar to the Cramer's Rule method of solving the equations using matrix determinants.)

Let x be the price per kilogram of firing clay and y be the price per kilogram of polymer clay. Then we can write the system of equations:
5x + 24y = 64.05
25x + 8y = 51.45
To solve for x and y, we can use elimination method. Multiplying the first equation by 5 and the second equation by -1, we get:
25x + 120y = 320.25
-25x - 8y = -51.45
Adding the two equations, we get:
112y = 268.8
y = 2.4
Substituting y = 2.4 in the first equation, we get:
5x + 24(2.4) = 64.05
5x = 7.65
x = 1.53
Therefore, the price per kilogram of firing clay is $1.53 and the price per kilogram of polymer clay is $2.4.

To solve this problem, we need to first define two variables, x and y, to represent the price per kilogram of firing clay and polymer clay, respectively. Then, we can set up two equations based on the quantities and costs of the two purchases made by Mr. Santos. We can then use the elimination method to solve for x and y. Finally, we can substitute these values back into one of the original equations to verify that they are correct.

The price per kilogram of firing clay is $1.53 and the price per kilogram of polymer clay is $2.4.

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The probability that an student makes more word errors than non word errors is given as follows:

0.2327 = 23.27%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for each distribution are given as follows:

The distribution of differences non word errors - word errors has the mean and the standard deviation given as follows:

The probability that an student makes more word errors than non word errors is the probability that the difference non word errors - word errors is less than zero, which is the p-value of Z when X = 0.

Then:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (0 - 1.1)/1.5134

Z = -0.73

Z = -0.73 has a p-value of 0.2327.

The mean and the standard deviation of each distribution are given as follows:

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Answer:

The answer is A

Step-by-step explanation:

105+90=5x-70

195+70=5x-70+70

\( \frac{265}{5} = \frac{5x}{5} \)

53=x and then when you insert to in the formula 5(53)-70 you get 195

and 105+90 is also equal to 195

Youre welcome!

Answer:

3

Step-by-step explanation:

The measure of the obtuse angle in the triangle is 108 degrees.

A triangle is a polygon with three sides. The total sum of the angles in a triangle is 180 degrees.

Therefore, the measure of the obtuse angle in the triangle can be found as follows;

An obtuse angle is an angle which is greater than 90° and less than 180°.

Hence, the angles of the triangle are 1x, 3x and 6x.

3x + 1x + 6x = 180

10x = 180

x = 180 / 10

x = 18

Therefore, the obtuse angle of the triangle is 6(18) = 108 degrees.

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Answer:

c) 108 on edgen

Step-by-step explanation:

My z-score tables are set up to show the area to the LEFT
  so you will need to find the z-score that is   1-.10 = .90  

  which , by looking at the tables is z-score =  +1.28