a modle kit contains curved tracks and straight given that 35% of the tracks are curved what fraction of the tracks are straight write this fraction in simplest form

Answer:

133.33, 200, 266.66

Step-by-step explanation:

GIven data

This is a ratio problem, and we will use the part to all method to get the solution

The given ratio is

= 2: 3: 4​

the total ratio

=2+3+4

=9

Hence the first part is

2/9= x/600

cross multiply

9x= 1200

x= 1200/9

x= 133.33

The second part

3/9=x/600

1/3=x/600

3x=600

x=200

The third part

4/9=x/600

4/9=x/600

9x=600*4

9x=2400

x=2400/9

x=266.66

Therefore the figures are

133.33, 200, 266.66

The probability exactly two of the appeals were successful is 0.9536

We are given that 40% of first-round appeals were successful (The Wall Street Journal, October 22, 2012), and suppose ten first-round appeals have just been received by a Medicare appeals office.

This situation can be represented through Binomial distribution as;

\(P(X=r)={}^{n}C_{r}(p)^r(1-p)^r\) where \(x=0,1,2,3.....\)

where,  n = number of trials (samples) taken = 10

            r = number of success

            p = probability of success which in our question is % of first-round

                  appeals that were successful, i.e.; 40%

So, here X ~ Binom(n=10 , p=0.40

Probability that at least two of the appeals will be successful = P(X>=2)

   P(X >= 2) = 1 - P(X = 0) - P(X = 1)

                    = 1 - \(^{10}C_{0}(0.40)^0(1-0.40)^{10-0}-^{10}C_{1}(0.40)^1(1-0.40)^{10-1}\)

                     = 1 - 0.00605 - 0.0403

                     = 0.9536

Hence, the probability exactly two of the appeals were successful is 0.9536

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The average difference or mean in game scores across six games is 5.67

The mean is the average of a data set. The mode is the most common number in a data set. The median is the middle of the set of numbers. The mean is the average or the most common value in a collection of numbers. the mean is one of the measures of b, apart from the mode and median. Mean is nothing but the average of the given set of a data.

To solve this problem, we have to write the wins and loss separate and then find the mean.

Wins = 8 points, 7 points, 20 points, 9 points

Loss = 8 points, 2 points

The sum of win points = 8 + 7 + 20 + 9 = 44 points

The sum of lost points = 8 + 2 = 10 points

The mean difference = (win - loss)/ total number of games

The mean difference = ( 44 - 10) / 6

The mean difference = 34 / 6 =5.67

The mean difference in the game scores over six games is 5.67 points

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9514 1404 393

Answer:

  16 points

Step-by-step explanation:

You are given ...

  second = first - 4

  second = 12

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

  12 = first - 4

  16 = first . . . . . . . . add 4 to both sides

Ethan scored 16 points in the first game.

The value for the washer/dryer combo after 4 years is  1,357.2 dollars.

We know that Emma pays $2,600 for a washer/dryer combo. Each year, the appliance loses 15% of its resale value, then the value after x years is modeled by the exponential decay.

V(x) = 2,600*(1 - 0.15)ˣ

The value after 4 years is what we get when we evaluate this in x = 4, we will get:

V(4) = 2,600*(1 - 0.15)⁴

Simplify that:

V(4) = 1,357.2

The value is after 4 years of the washer/dryer is 1,357.2 dollars.

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Answer:

the answer is 12.88

Step-by-step explanation:

Answer:

The answer to your question is 12.88

Step-by-step explanation:

The probability of obtaining tails and the number 5 is 1/12

the probability of obtaining an even number is 1/2

P(heads and prime number)  1/4

Since the events are independent, the probability of obtaining tails and the number 5 is:

P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12

The coin toss outcome is irrelevant, so the probability of obtaining an even number is:

P(even number) = 1/2

The probability of obtaining heads and a prime number is:

P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4

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Answer:

Step-by-step explanation:

The options are not given, but we could solve and arrive at an answer

say the shorter side is x

and the longer side is x+5

we know that the area of a rectangle is given as

x*(x+5)=66

open the bracket

x^2+5x=66

x^2+5x-66=0

Find two factors of  -66  whose sum equals the coefficient of the middle term, which is   5 .

the factors are 11 and -6

splitting the middle term using the two factors  11  and  -6

x2 +11x - 6x - 66=0

x(x+11)-6(x+11)=0

(x-6)=0

x=6

(x+11)=0

x=-11

The shorter side is 6 ft and the longer side is 11 ft

Answer:

470.12??? not sure!!!!

Step-by-step explanation:

The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x

"Information available from the question"

In the question:

1. Pay $0. 49, plus an additional $0. 019 per minute.

2. Pay $0. 059 per minute.

Now, According to the question:

How to determine the inequality that represents the statement?

We have the following parameters that can be used in our computation:

1. Pay $0.49, plus an additional $0.019 per minute.

2. Pay $0.059 per minute.

These statements can be represented as

Option 1: y = 0.49 + 0.019x

Option 2: y = 0.059x

Where y is the total amount and x is the number of minutes

When she saves money, we have

Option 2 < Option 1

Substitute the known values in the above equation, so, we have the following representation

0.059x < 0.49 + 0.019x.

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True.  Under appropriate circumstances, many discrete random variables can be described by the normal distribution.

Under appropriate circumstances, many discrete random variables can be approximated by the normal distribution using the Central Limit Theorem. This theorem states that the sum of a large number of independent and identically distributed random variables, regardless of their individual distributions, tends to follow a normal distribution.

This is often the case in practice, making the normal distribution a useful tool for modeling and analyzing data. However, it's important to note that not all discrete random variables can be accurately described by the normal distribution, and it's important to assess the appropriateness of the normal approximation on a case-by-case basis.

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The mean of all exam scores in the class is found = 71

Normally distribution

A normal distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.

While data points are referred to as x in a normal distribution, they are called z or z-scores in the z-distribution. A z-score is a standard score that tells you how many standard deviations away from the mean an individual value (x) lies: A positive z-score means that your x-value is greater than the mean.

The z-score is found by;

z = (x - μ)/σ

x =  sample mean

μ =  mean score

σ =  standard deviation

Now, from this,

x = zσ + μ

For p = 80th percentile= 0.8, see z value from z score table.

z = 0.85

x = 85 points

85 = 0.85σ +  μ  .....eq 1

For p = 30% = 0.3, see the z value from the z score table.

z = -0.3802

x = 65

65 = -0.3802σ +  μ  .....eq 2

Solving eq 1 and 2.

σ = 16.25

Put in eq 1

μ = 71.19

μ = 71

Thus, the mean of all exam scores in the class is found = 71

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The correct answer is d. 8, as it represents the greatest possible value for the integral of f(x) over the interval [0, 2].

Given that 2 ≤ f(x) ≤ 4 for all x in the interval [0, 2], we know that the function f(x) is bounded between 2 and 4 throughout the interval. To find the greatest possible value of the integral of f(x) over the interval [0, 2], we want to maximize the area bounded by the function and the x-axis.

Since the function is continuous and bounded, we can use the Fundamental Theorem of Calculus to find the integral. The integral of f(x) over the interval [0, 2] represents the area under the curve of f(x) between x = 0 and x = 2.

The maximum possible value of this integral occurs when the function is at its upper bound of 4 throughout the interval. Therefore, the greatest possible value of the integral is the area of the rectangle with a base of 2 (the width of the interval) and a height of 4, which is 2 * 4 = 8.

Hence, the correct answer is d. 8, as it represents the greatest possible value for the integral of f(x) over the interval [0, 2].

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There are 84 boys said they did not like to play videogames. There are total 150 boys were surveyed.

The union of two sets A and B is the set of all elements of A or B, i.e. A ∪ B, while the intersection of two sets A and B is the set of all common elements. The intersection of these two sets is denoted A ∩ B.

According to the Question:

n(videogame) = 70

n(not videogame) = 84

n(total number of boy surveyed) =?

n(total number of boy surveyed) = n(videogame) + n(not videogame)

                                                      = 84 + 70

                                                      = 150

Therefore, there are total 150 boys who are surveyed.

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We want maximum profit, which is the max value of y.

We basically want for which x value, we have y as the maximum.

First,

let's take the derivative of y:

Maximum is when the derivative is equal to 0. So, the x-value when derivative is 0:

To get max profit, the widgets should be sold at $50.50

Answer:

It is based on simple probability because there is only one possible answer each spin hope this helps :)

Step-by-step explanation:

Answer: Supplementary angles

Step-by-step explanation:

Bye have a nice day.

Answer:

does this help answer your question? Answer: They are supplementary angles, because angle 1 + angle 2 = 180° , i.e. they form a line.

Step-by-step explanation:

I would suggest that you memorize these -

    1. Complementary angles always =90°

For example, 30 degrees and 60 degrees are complementary angles.

    2. Adjacent angles are two angles that have a common side and a common vertex (corner point) but do not overlap in any way. (share a side)

    3. Supplementary angles are those that in sum give 180°.

    4. Vertical angels ---- each of the pairs of opposite angles made by two intersecting lines.

So, what have you learned? You learned that complementary angles are two angles that add up to 90 degrees, supplementary angles are two angles that add up to 180 degrees, vertical angles are opposite angles at an intersection of two straight lines, and adjacent angles are two angles that are next to each other.

Answer:

$125

Step-by-step explanation:

If you divide 160 by 32 you will get 5 then you will multipy 5 by 25 to get $125

Answer

125$

Step-by-step explanation:

5x32=160

5x25=125

Each pound of apples is equivalent to 5$

Answer:

x=50 degrees

Step-by-step explanation:

this is a straight angle which is 180 degrees.

we know one angle is 25

so 3x+5=155

using algebra

3x=150

x=50

hope that helps =)

Answer:

x=50 degrees

Step-by-step explanation:

hope this helps:)

(a) can be calculated using the binomial distribution formula, (b) find the probability that at least 800 students accept, (c) find the probability that more than 1000 students, (d) same approach as in part (c)

(a) The mean of the number of students who accept is calculated by multiplying the number of trials (1200) by the probability of success (0.83), resulting in 996 students. The standard deviation can be obtained by taking the square root of the product of the number of trials, the probability of success, and the probability of failure (1 - 0.83), resulting in approximately 9.91 students.

(b) To find the probability that at least 800 students accept, we can use the normal approximation to the binomial distribution. We calculate the z-score using the formula z = (x - np) / sqrt(np(1-p)), where x is the number of students (800), n is the number of trials (1200), p is the probability of success (0.83), np is the mean (996), and sqrt(np(1-p)) is the standard deviation (9.91). We then use the z-score to find the corresponding probability from the standard normal distribution table.

(c) To find the probability that more than 1000 students accept, we subtract the probability of 1000 or fewer students accepting from 1. We can use the same normal approximation approach as in part (b) but calculate the probability for 1000 students or fewer.

(d) By decreasing the number of admission offers to 1150, we can repeat the calculations from part (c) using the updated number of trials (1150) and the same values for p, mean, and standard deviation. This will give us the probability that more than 1000 students accept with the new admission offers.

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Answer:

32ft of chain divided by 14ft pieces... that's two pieces of chain

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

32÷14=2.2857

2 with a remainder of 4feet

D. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Answer:

Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i just took a test

Step-by-step explanation:

3 more than twice n = 3+2n

3 more than twice n is atmost 50,

=> 3+2n <= 50 {(3+2n) is less than or equal to 50}

Answer:

3 + 2n ≤ 50

Step-by-step explanation:

"at most 50" means 50 or less.

Hope this helps.

Answer:

Exact Form 67/6

Mixed Number Form 11 1/6

Step-by-step explanation:

Removed Parenthesis 8/3+(-3)^2-1/2

Group like terms 8/3 - 1/2 + (-3)^2

Apply the exponent rule 8/3 - 1/2 + 3^2

Find the LCM (least common multiple) of 3 & 2; 6

Adjust Fraction based on LCM 8/3 = 8*2/3*2 = 16/6   1/2 = 1*3/2*3 = 3/6

16/6 - 3/6

since denominators are equal combine the fraction \(\frac{16-3}{6}\)

Subtract the numbers 3^2 + 13/6

3^2 = 9 = 9 +13/6

9*6/6 + 13/6

\(\frac{9*6 + 13}{6}\) = 67/6

The -value of the test is 1.90. This indicates that the mean processing time is significantly greater than 5.5 hours, supporting the manufacturer's desire to set a standard time required by employees to complete a certain process

The t-value will be equal to 1.39 for the given statistics.

To test if the mean processing time exceeds 5.5 hours, we can use a one-sample t-test.

The null hypothesis is that the mean processing time is less than or equal to 5.5 hours:

H0: µ ≤ 5.5

The alternative hypothesis is that the mean processing time is greater than 5.5 hours:

Ha: µ > 5.5

We will use a significance level of 0.05.

The formula for the t-test statistic is:

t = (X - µ) / (s / √n)

Where:

X = sample mean

µ = hypothesized population mean

s = sample standard deviation

n = sample size

Substituting the given values, we get:

t = (6 - 5.5) / (2 / √21) = 1.386

The degree of freedom for the t-test is n-1 = 20.

Using a t-table or calculator, the p-value associated with a t-value of 1.386 and 20 degrees of freedom is 0.093.

Since the p-value (0.093) is greater than the significance level (0.05), we fail to reject the null hypothesis. Therefore, there is not enough evidence to suggest that the mean processing time exceeds 5.5 hours.

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When measured in straight line, the distance of the cars apart would be = 10 miles.

To calculate the distance of the cars apart in a straight line, the Pythagorean formula should be used. That is;

C² = a²+b²

c² = 8²+6²

= 64+36

c² = 100

c = √100

= 10 miles

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Answer:

Draw the line segment AB = 7 cm.

Draw ray BX making an acute ∠ABX.

Along BX. mark off five points B1, B2, B3, B4 and B5. Join B2 to A.

Through B5 draw B5P || B2A, intersecting BA produced at P.

The point P so obtained is the required point which divides AB externally in the ratio 3:5.