Can someone help me solve this ???

Highest score obtained in this group of 12 scores is 19

Statistical distribution A distribution in statistics describes how a variable is spread out or dispersed among several values. The chance of various outcomes for a variable is described by a distribution, which can be represented graphically using histograms, box plots, and probability density functions.

Table 2-3's distribution displays frequency (f) for various score ranges (x). We are unable to determine with certainty the highest score among the 12 scores in this category without knowing the precise scoring methodology. But, by dividing the upper limit of the range by its frequency, we may calculate the upper limit of the highest scoring range:

Upper limit of 20-24 range = 24

Frequency of 20-24 range = 2

Upper limit of 15-19 range = 19

Frequency of 15-19 range = 5

Upper limit of 10-14 range = 14

Frequency of 10-14 range = 4

Upper limit of 5-9 range = 9

Frequency of 5-9 range = 1

The top limit of the score range with the highest frequency must be identified in order to find the maximum score. The maximum frequency in this instance is 5, which corresponds to the range of 15 to 19.

The greatest score range is therefore 15–19, and the highest score inside that range is the range's top limit of 19. In this group of 12 points, the best score is 19, making it (assuming the scoring system is such that higher scores correspond to higher ranges).

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Answer:

Here

a+34=90

=90-34

=56

Ans is 56 degree

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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The least common denominator is 4x^2.

Answer:

Step-by-step explanation:

the least common denominator is 4 x^2

(x+1)/4x

3(x+1)/2x^2

To find the common denominator, find the prime factors of each denominator

4x =2*2*x

2x^2 = 2*x*x

We need to take the greatest number of each term

2:  We have two 2's in the first term and one 2 in the second term so we will take two 2's

x: we have one x in the first term and two x's in the second term so we take two x's

common denominator; 2*2*x*x

                                     4x^2

The family averages 24 miles per gallon, hence they will have to refill 3 times.

An average is simply a single data point chosen to represent a series of data, typically the sum of the elements divided by the sum of the numbers in the collection. For example, the average of the integers 2, 3, 4, 7, and 9 is 5.

A rate in mathematics is the ratio of two related variables stated in different units. If one of these variables is given as a single unit in the denominator of the ratio, and it is assumed that this quantity can be changed on a regular basis (i.e., is a variable and the independent), the numerator of the ratio expresses the corresponding rate of change in another (dependent) variable.

Total ride is one tank of gas = 18 × 24 = 432 miles.

Total distance =  945 ÷ 432 = 2.18 ≈ 3 (taking the greater value)

Hence it will be required to fill the tank 3 times to arrive at the destination.

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Answer: $8.75

Step-by-step explanation:

Set up a proportion where x is the cost of a bottle with 250 vitamins:

150/ 5.25 = 250/x

Cross multiply and solve for x

150x = 1312.5

x = 8.75

So, it will cost $8.75 for a bottle with 250 vitamins

x = 8.75

So, it will cost $8.75 for a bottle with 250 vitamins

The annual percentage rate of the loan is approximately 913%. option c is correct.

The yearly interest earned by an amount charged to borrowers or paid to investors is referred to as the annual percentage rate.

APR is a percentage that indicates the real annual cost of money for a loan or investment over the period of the loan.

The amount borrowed =  $75

no of days =8 days

Fees charged = $15

The annual percentage is found as;

\(\rm r = \frac{final \ value}{initial \ value } -1 \\\ \rm r = \frac{f 90}{75 } -1 \\\\ r=0.20 \\\\\)

If the rate of interest is  20% then the annually the rate is obtained as;

\(\rm r_{annual}= \frac{0.20}{8 \ days} \times \frac{365}{1 \ year} \\\\ \rm r_{annual}=913 /year\)

Hence the annual percentage rate of the loan is approximately 913%. option c is correct.

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Answer:

C

Step-by-step explanation:

Barbara got a flat tire and does not have a spare. She needs her car for work, so she goes to a business that offers payday loans in order to get the money to buy a new tire.  She borrows $75 and plans to pay it back when she gets paid in 8 days. Barbara is charged a fee of $15 and the term on her loan is 8 days. Approximately what is the annual percentage rate on her loan?

a.

228%

b.

487%

c.

913%

d.

973%

C

Answer:

easy, the 37 is larger

Step-by-step explanation:

you owe -32 but you have more than that.

Answer:

a. 2/20 or 10%

b. Theoretically 2 out of every 20 times the spinner is spun, it will be blue.

Step-by-step explanation:

Answer:

Hey there!

20^2+25^2=c^2

400+625=c^2

1025=c^2

Square root 1025 is the correct answer, so option C.

Let me know if this helps :)

Answer: B

Step-by-step explanation:

a.  If we let u = (3 - 2x), then the derivative du/dx would be -2, which is not equal to zero. This indicates that the substitution does not satisfy the requirement for u to be differentiable.

b. Michael's substitution satisfies the requirement for u to be differentiable.

(a) i. Kayla's proposed substitution of u as (3 - 2x) will not work in this case. The reason is that when using the u-substitution method, it is necessary for the chosen u to be differentiable, meaning that its derivative du/dx should exist and be non-zero. However, if we let u = (3 - 2x), then the derivative du/dx would be -2, which is not equal to zero. This indicates that the substitution does not satisfy the requirement for u to be differentiable.

ii. Kayla's idea of always picking the most inside factor as u does not work for all u-substitutions. There can be cases where choosing the most inside factor may not lead to a valid substitution that simplifies the problem or makes integration easier. It is important to consider the properties of the function and choose a suitable substitution accordingly.

(b) i. Michael's proposed substitution of u as 3√3 - 2x will work in this case. If we let u = 3√3 - 2x, then the derivative du/dx would be -2, which is non-zero. Therefore, Michael's substitution satisfies the requirement for u to be differentiable.

ii. Michael's idea of always picking the most complicated factor as u also does not hold true for all u-substitutions. The choice of u depends on various factors, including the structure of the function, simplification possibilities, and making the integration process more manageable. It is not necessarily the case that the most complex factor will always result in a successful substitution.

It is important to consider the specific characteristics of the function and apply appropriate judgment in choosing the substitution u to simplify the problem effectively.

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Yes, any ramp with an angle of 4.8 degrees will have a slope ratio of 1:12.

The slope ratio is the ratio of the vertical rise to the horizontal run of the ramp, and it is equivalent to the tangent of the angle of inclination of the ramp.

The tangent of 4.8 degrees is approximately 0.0084, which means that for every 1 unit of vertical rise, there is 0.0084 units of horizontal run. To convert this to a ratio, we can multiply both sides by 100 to get:

1 unit of rise : 100 x 0.0084 = 0.84 units of run

Simplifying this ratio by dividing both sides by 0.84, we get:

1 unit of rise : 1.19 units of run

which is equivalent to a slope ratio of 1:12 (since 12 = 1/0.084). Therefore, any ramp with an angle of 4.8 degrees will have a slope ratio of 1:12.

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Answer: 67/100

Step-by-step explanation: 0.67 is in the hundredths place not the tenths so it cant be 67/99 its 67/100

Answer:

282240 ways

Step-by-step explanation:

number of items = 9 different items

Ranking based on worth

determine number of ways to arrange the 9 items such that the 2 most expensive are apart

first step: consider the 2expensive items as 1

∴ number of permutation = [ ( 9 - 2 ) + 1 ]!  * 2!

                                          = [ 8 ] ! * 2!  = 80640

Total number of permutation/arrangement = 9! = 362880

hence to arrange the 9 items without having the two most expensive items together

= 362,880 - 80640

= 282240 ways

Answer:

p = 16

Step-by-step explanation:

(p + 2) - 4 = 14

We can just drop the parentheses:_

p + 2 - 4 = 14

p - 2 = 14

Add 2 to both sides:-

p - 2 + 2 = 14 + 2

p = 16

Answer:

Step-by-step explanation:

You want values of ∆y and dy for y = x² -6x and x = 5, ∆x = dx = 0.5.

The value of dy is found by differentiating the function.

  y = x² -6x

  dy = (2x -6)dx

For x=5, dx=0.5, this is ...

  dy = (2·5 -6)(0.5) = (4)(0.5)

  dy = 2

The value of ∆y is the function difference ...

  ∆y = f(x +∆x) -f(x) . . . . . . . where y = f(x) = x² -6x

  ∆y = (5.5² -6(5.5)) -(5² -6·5)

  ∆y = (30.25 -33) -(25 -30) = -2.75 +5

  ∆y = 2.25

__

Additional comment

On the attached graph, ∆y is the difference between function values:

  ∆y = -2.75 -(-5) = 2.25

and dy is the difference between the linearized function value and the function value:

  dy = -3 -(-5) = 2.00

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(A) qualitative and quantitative categories. (A) True. (C) is highly susceptible when used outside tested range of X values.

Data is broken into (A) qualitative and quantitative categories, which refers to the nature of the data being analyzed. Qualitative data is non-numeric and describes characteristics or attributes, while quantitative data is numeric and describes quantities or measurements.

The statistical calculation r shows the correlation between variables (Y, X) in a regression analysis. This statement is true. The correlation coefficient r is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.

Linear regression used for estimation of A is susceptible when used outside the tested range of X values. This statement is true. Linear regression models are based on the assumption of a linear relationship between the dependent variable Y and the independent variable X within a certain range of X values. When used outside of this range, the linear regression model may not accurately predict the values of Y. This is because the linear relationship between Y and X may not hold outside of the tested range, or other factors may come into play that were not accounted for in the model. Therefore, it is important to carefully consider the range of X values used in the regression analysis and to exercise caution when making predictions outside of this range.

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Answer:

x = -3.2

Step-by-step explanation:

Expand brackets

-7.8x - 50.7 = -25.74

Make x the subject of the equation by adding 50.7 on both sides

-7.8x = -25.74 + 50.7

-7.8x = 24.96

24.96/-7.8 = x

x = -3.2

A rational equation with a vertical asymptote at x=2 and a hole at x=-1 can be represented by the equation y = (x+1)/(\(x^{2}\)-3x-2).

To create a rational equation with a vertical asymptote at x=2 and a hole at x=-1, we need to construct a fraction that has a denominator that becomes zero at x=2 and x=-1. The vertical asymptote occurs when the denominator of the fraction equals zero but the numerator doesn't. A hole occurs when both the numerator and denominator become zero at a certain x-value, but they can be factored out.

In this case, we can start by factoring the denominator of the rational equation. The quadratic equation \(x^{2}\)-3x-2 can be factored as (x-2)(x+1). We want the denominator to equal zero at x=2, so we include the factor (x-2) in the denominator. However, we want to remove the common factor (x+1) from both the numerator and denominator to create the hole at x=-1. By canceling out the common factor, we get the final rational equation: y = (x+1)/(\(x^{2}\)-3x-2).

This equation satisfies the given conditions: x=2 is a vertical asymptote because the denominator becomes zero at x=2, and x=-1 is a hole because both the numerator and denominator become zero at x=-1 but can be canceled out.

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The Cpk (Process Capability Index) for this machine is 0.5 (rounded to 3 decimal places).

To calculate the Cpk (Process Capability Index), we need to consider the specification limits and the process variation.

The Cpk is given by the formula:

Cpk = min[(USL - μ) / (3σ), (μ - LSL) / (3σ)], Where:

USL = Upper Specification Limit

LSL = Lower Specification Limit

μ = Process mean

σ = Process standard deviation

In this case, the Upper Specification Limit (USL) is 2 + 0.004 = 2.004 inches, and the Lower Specification Limit (LSL) is 2 - 0.004 = 1.996 inches.

Given that the process mean (μ) is 2.001 inches and the process standard deviation (σ) is 0.002 inch, we can substitute these values into the formula:

Cpk = min[(2.004 - 2.001) / (3 * 0.002), (2.001 - 1.996) / (3 * 0.002)]

Cpk = min[0.003 / 0.006, 0.005 / 0.006]

Cpk = min[0.5, 0.833]

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No, the transformation given is not a reflection, hence the statement is false.

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system. The original shape of the object is called the Pre-Image, and the final shape and position of the object is the Image under the transformation.

Given is a figure, showing some transformation, we need to identify whether the transformation is a reflection or not,

So, by the observation of the figure, we see that, the figure is similar to the preimage, and in reflection we obtain a flip image of the preimage,

A reflection reflects a point or shape across a given line. we do not get the same results after performing reflection transformation.

The figure is showing a translational transformation instead of reflection transformation.

Hence, the statement is wrong.

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The question do not have figure, the question is solved for the figure attached

Glow costs 16/27 dollars, which is equal to 59.3 cents per volume unit.

Let's start by assigning variables to the unknown prices and volumes of the toothpastes. Let x be the price per unit volume of Fresh, y be the price per unit volume of Glow, and z be the price per unit volume of Bright. Let v1 be the volume of Fresh, v2 be the volume of Glow, and v3 be the volume of Bright. From the information given in the problem, we can set up the following equations:

z = 1.6y (a tube of Bright is 60% more expensive than a tube of Fresh)

v3 = 0.75v2 (a tube of Bright has 25% less volume than Glow)

y = 0.75z (a tube of Glow is 25% less expensive than a tube of Bright)

v2 = v1 + 100/3 (a tube of Glow has 100/3 more volume than Fresh)

We can substitute the first equation into the second equation to eliminate z:

v3 = 0.75v2

(substitute v2 = 0.75z and v1 = 1)

0.75v2 = 0.75(0.75z + 100/3)

0.75v2 = 0.5625z + 25

(substitute z = 1.6y and v2 = v1 + 100/3)

0.75(v1 + 100/3) = 0.5625(1.6y) + 25

0.75v1 + 25/3 = 0.9y + 25

0.75v1 = 0.9y + 50/3

We can substitute the third equation into the fourth equation to eliminate y:

v2 = v1 + 100/3

(substitute y = 0.75z)

0.75z = 0.75(0.75y) + 100/3

z = y + 16/9

(substitute z = 1.6y)

1.6y = y + 16/9

y = 16/27

Therefore, the price per unit volume of Glow is 16/27 dollars, or 59.3 cents per unit of volume.

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Answer:

Step-by-step explanation:

In this problem we are going find the natural logarithmic of the numbers involved and solve for x

\(ln65-Ln x= 39\\\)

from tables

\(4.17-ln x= 39\4.17-39= lnx\\-34.83=lnx\\\)

taking the exponents of both sides we have

\(e^-^3^4^.^8^3= x\\x= 7.47\)

Answer:

The slope of the line that passes through the points (1,-4) and (3,-1) is \( \frac{3}{4} \).

Step-by-step explanation:

▪You use this formula to find a slope: \(m =  \frac{y_2 - y_1}{x_2 - x_1} \)

▪Plug in according to the formula.

\(m =  \frac{ - 1 - ( - 4)}{ 3 - 1} = \frac{3}{2} \)

Answer:

C) ASA

Step-by-step explanation:

The triangles are congruent by ASA.

Each triangle has two angles congruent to two corresponding angle of the other triangle. Also the common side is congruent to itself and is the side included by the angles. By ASA, the triangles are congruent.

Answer:

m = 5 / 2

Step-by-step explanation:

Given

(4, 10)

Here,

x=4 and y=10

Given equation,

y=mx _ equation 1

putting the value of x and y in equation 1. we get,

y = mx

or, 10 = m4

or, 10 / 4 = m

or, 5 / 2 = m

therefore, m = 5 / 2

Answer:

6 times

Step-by-step explanation:

Answer:

8 can go into 51 six(6) times