What value of x would support
the conclusion that AJKL AJML
by AAS?

8p 85%

Step-by-step explanation:

cause it's more juice then water

The equation of slope intercept form is y = 3/2x + 12 if a line passes through the point (-6,3) and has a slope of 3/2.

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation. The slope, m, is a measure of how steep a line is. The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables.

Given

A line passes through the point (-6,3)

and has a slope of 3/2

Slope intercept form

y = mx + b

Equation,

y - 3 = 3/2(x - (-6))

y - 3 = 3/2(x+6)

2y - 6 = 3x + 18

2y = 3x + 24

y = 3/2x + 12

The equation of slope intercept form is y = 3/2x + 12 if a line passes through the point (-6,3) and has a slope of 3/2.

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3) The tire diameter using the aspect ratio is; 29 inches

4) The aspect ratio of a standard print paper is; 22:17

The aspect ratio is defined as the relationship between the width and height.

Now, in this case, the aspect ratio must be in whole numbers and not decimals and as such we can solve as follows;

3) We are told that the aspect ratio of a tire is 50%.

Thus, the aspect ratio is; 50/100 = 1/2 or 1:2.

Now, we are told that width 10 inches, and the rim diameter is 19 inches, then it means that the tire diameter = 10/2 + 19 + 10/2 = 29 inches

4) The standard print paper is 11" by 8.5. This can also be written as;

11 by 17/2 or 11 * 2 : 17

= 22:17

This then gives us the aspect ratio.

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The z-scores correspond to the oldest and youngest senators of ages 87 and 44 are 2.57 and -1.17. The z-score corresponding to the oldest senator of age 85 is 2.39.

A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. The formula to calculate this score [tex]z=\frac{x-\mu}{\sigma}[/tex].  Where z is the z-score, x is the observed value, μ is the sample mean, and σ is the sample standard deviation.

Given μ = 57.5 and σ = 11.5.

When x = 87, the z-score value is,

[tex]\begin{aligned}z&=\frac{87-57.5}{11.5}\\&=2.57\end{aligned}[/tex]

When x = 44, the z-score value is,

[tex]\begin{aligned}z&=\frac{44-57.5}{11.5}\\&=-1.17\end{aligned}[/tex]

When x = 85, the z-score value is,

[tex]\begin{aligned}z&=\frac{85-57.5}{11.5}\\&=2.39\end{aligned}[/tex]

The required answers are 2.57, -1.17, and 2.39.

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Answer:

Below

Step-by-step explanation:

Divide each quantity by 25 to find the amount in each basket

 cheese = 75 lb / 25 bask =  3 lb per basket

  crackers = 50 box / 25 bask = 2 boxes per basket

The solution of the inequality is greater than or equal to 18. The number of fruit snacks that were in the bag is 18.

What is the inequality?

In mathematics, inequalities specify the relationship between two non-equal values. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given inequality is

X÷3  ≥  6

Rewrite left side expression:

X/3 ≥  6

Multiply both sides by 3:

X ≥  6 × 3

X ≥ 18

The value X is greater than or equal to 18.

Therefore the number of fruit snacks that were in the bag is 18.

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Answer: The relationship in quantity, amount, or size between two or more things: proportion.

Answer:

x is 44 Hope that helps.

The values for the given data set is as follows 120 , 720 , 8 ,40320 , 6720 ,3628800 respectively.

The formula to calculate the permutation is , P = n! / (  n - r )!. Using this formula we get the result as,

P(6,3) = 6! / (6−3)!

​= 6! /  3!

​ = 120

P(8,1) = 8! / (8 - 1)!

​= 8! /  7!

​ = 8

P(6,5) = 6! / (6-5)!

6! / 1!

720

Similarly ,

P(8,8)= 40320

P(8,5) = 6720

P(10,9) = 3628800

A permutation is a specific arrangement of items. Set members or elements are arranged in a sequence or linear order here.

For example, the permutation of set A=1,6 is 2, as in 1,6,1.

There are no alternative ways to arrange the items in set A, as you can see.

In permutation, the elements must be organised in a specific sequence, whereas in combination, the order of the elements is irrelevant. Read also: Permutation And Combination

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The if-then statement is:

If angles are vertical angles then their measure is equal.

and converse of the implication is:

If the measure of angles is equal then they are vertical angles.

What is the Converse Statement?

That sort of reversal is called a converse. Definition: The converse of a conditional statement is created when the hypothesis and conclusion are reversed. In Geometry, the conditional statement is referred to as p → q. The Converse is referred to as q → p.

We have given the statement:

Vertical angles are equal in measure.

A). Rewrite the statement as an if-then statement.

If angles are vertical angles then their measure is equal.

B). Write the converse of the implication

If the measure of angles is equal then they are vertical angles.

Hence, the if-then statement is:

If angles are vertical angles then their measure is equal.

and converse of the implication is:

If the measure of angles is equal then they are vertical angles.

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66°

Step-by-step explanation:

X=22°

3x= 3*22=66°

to find value of x:

(2x+3)+3x+67=180°

5x+70=180°

x=22°

The number of baseballs which Wei Jing would have left if he arranged them in groups of 8 as required is; 1.

According to the task content;

Since the number of baseballs available is between; 70 and 150 and

When he arranges them in groups of 10, he has 3 left over.

The possible numbers are; (70 + 3), (80 + 3), (90 + 3), (100 + 3), (110 + 3), (120 + 3), (130 + 3), (140 + 3).

Therefore, the possible numbers according to the first condition are; 73, 83, 93, 103, 113, 123, 133, 143.

Also, When he arranges them in groups of 9, he has 5 left over, the possible numbers are; ( 72 + 5 ), ( 81 + 5 ), ( 90 + 5 ), ( 99 + 5 ), ( 108 + 5 ), ( 117 + 5 ), ( 126 + 5 ), ( 135 + 5 ), ( 144 + 5 ).

Therefore, the possible numbers according to the second condition are; 77, 86, 95, 104, 113, 122, 131, 140, 149.

On this note, by comparison; Only 113 is common to the both sets of numbers.

Hence, the number in discuss is; 113.

Ultimately, if the arrangement is in groups of 8; it follows that the remainder would be; 1 since; 113 / 8 = 14 ⅛.

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The option b "The index for any quarter must be between 0 and 2" is correct.

In the given question, we have to find the incorrect statement about a company has computed a seasonal index for its quarterly sales.

For its quarterly sales, the corporation has created a seasonal indicator.

Consequently, it is correct that the four quarterly seasonal index figures add up to 4.

True, the average index is 1.

In this situation, an index of 0.75 for the first quarter's sales implies that they were 25% below average, while an index of 1.10 shows that they were 10% over average.

Hence, the incorrect statement of the option b "The index for any quarter must be between 0 and 2" is correct.

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Answer:

Step-by-step explanation:

w

If the perimeter of the  rectangle is 56m with length 18m the breadth is 10m

You should know that the breath of the rectangle is the two shorter sides of the rectangle.

The perimeter of the rectangle is the distance round the rectangle

In every rectangle, there are 2 Lengths and 2 breadths

This implies that the perimeter is

P= L+B+L+B

P=2L+2B

This implies that

56=2(18)+2B

⇒56=36+2B

56-36=2B

20=2B

Making B the subject of the relation we have

B=20/2

B=10m

Therefore the breadth of the rectangle is 10m

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Answer:

Step-by-step explanation:

hope this helps pls give brainliest

The solution for the given system of equations is:

x = -63

y = 10

Here we want to solve the following system of equations:

x + 3y = -33

-4x + 5y = -38

To solve the system by substitution, we first need to isolate one of the variables in one of the equations, I will isolate x on the first equation so we get:

x = -33 - 3y

Now we can replace this in the other equation, so we will get:

-4x + 5y = -38

-4*(-33 - 3y) + 5y = -38

Now we can solve this for y, we will get:

-4*-33 - 4*-3y + 5y = -38

132 + 12y + 5y = -38

17y = -38 - 132

17y = 170

y = 170/17 = 10

y = 10

The value of x is given by:

x = -33 - 3y

x = -33 - 3*10 = -63

So the solution is x = -63 and y = 10.

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If it were the case that an increase in inflation permanently reduced unemployment, then that would mean: b. money would not be neutral and the long-run Phillips curve would slope downward.

Theoretically, when unemployment rates decline, inflation rates should climb. The Phillips Curve, which has been codified, is used to describe this. Less unemployment, according to the Phillips Curve, equals more spending by consumers, which puts greater pressure on pricing.

A graph showing that, over the long term, there is no correlation between the unemployment rate and inflation; the LRPC is vertical at the natural rate of unemployment.

In comparison to the long-run Philips curve, the short-run Philips curve slopes downward. The unemployment rate and inflation rate are depicted on the X and Y axes, respectively, of the Philips curve.

Correct option: b

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As per the given confidence interval, the sample size is 102.

The term confidence interval in math is referred as  the mean of your estimate plus and minus the variation in that estimate.

Here we have given that you need to compute a 90% confidence interval for the population mean.

And we need to find the sample size.

While we looking into the given question, we have identified the following values,

Confidence interval = 90% = 0.09

mean = 1.4

Then the sample size is calculated as,

In order to find this one we have to find the critical value of z for 90% confidence level is,

=> z = 1.645

Now, we have to calculate the value of n as,

=> z x σ / √n

when we apply the value on it, then we get,

=> 1.645 x 1.4/√n

When we simplify this one then we get the value of n as 102.

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From the 5-number summary table, the answers came out as a) 60 students b) 90 students c) 20 students d) 40 students

What are quartile ranges?

The interquartile range in descriptive statistics reveals the spread of your distribution's middle half.

Any distribution that is sorted from low to high is divided into four equal portions using quartiles. The interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set.

Median marks is the marks secured by 50% of students.

Hence, if there 120 students and the median marks is 73, the number of students who got more than 73 is 50% of 120, which is 60.

Q1 or the first quartile range is the marks obtained by 25% of students.

Hence, 25% of 120 students scored 55 and 75% of 120 students scored more than 55, which is 90.

For the 80 students in evening classes, 25% of the secured grade less than 45, the first quartile, which is 25% of 80, that is 20.

Similarly 50% of 80 students scored grade more than between 45 and 82, which is 40.

From the 5-number summary table, the answers came out as a) 60 students b) 90 students c) 20 students d) 40 students

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Answer:

  (c)  (-∞, -2] ∪ (-1, ∞)

Step-by-step explanation:

You want the range of the piecewise function shown in the graph.

The range is the vertical extent of the graph, the set of possible output values of the function.

This graph shows a gap between y = -2 and y = -1. The value y = -2 is included in the range, but the value y = -1 is not. (That's what the open circle means.)

Hence, the range is ...

  (-∞, -2] ∪ (-1, ∞)

Answer: To find the number and type of solutions for the given equation, we can use the discriminant, which is the part of the quadratic formula that determines the number and type of solutions. The discriminant for a quadratic equation in the form ax^2 + bx + c = 0 is b^2 - 4ac.

In the case of the given equation x^2 - 9x + 8 = 0, we can substitute the values of a, b, and c to obtain the discriminant:

discriminant = b^2 - 4ac = (-9)^2 - 4 * 1 * 8 = 81 - 32 = 49

The value of the discriminant tells us the number and type of solutions for the given equation. If the discriminant is positive, the equation has two distinct real solutions. If the discriminant is zero, the equation has one double real solution. And if the discriminant is negative, the equation has no real solutions.

In the case of the given equation, the discriminant is 49, which is positive. This means that the equation has two distinct real solutions. To find these solutions, we can use the quadratic formula:

x = (-b ± √discriminant) / (2a)

Substituting the values for a, b, c, and the discriminant, we obtain:

x = (-9 ± √49) / (2 * 1) = (-9 ± 7) / 2

This gives us two solutions: x = (-9 + 7) / 2 = -1 and x = (-9 - 7) / 2 = -8. Thus, the given equation has two distinct real solutions: x = -1 and x = -8.

The product of -2/7 x 7/4 to the simplest form in fraction is -1/2.

In arithmetic, a number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

[tex]\frac{-2}{7} x \frac{7}{4}[/tex]

Solving this we multiply the fraction by multiply the numerator by numerator and also Denominator by Denominator  

= [tex]\frac{-14}{28}[/tex]

Simplify further  by dividing the numerator by denominator we have:

= [tex]\frac{-1}{2}[/tex]

Therefore, the the product of the fraction to the simplest form is -1/2 and this can also be written in decimal; -0.5

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The two polynomials whose difference is 2x^2 + x + 4 are

6x² + 3x + 5 and 4x² + 2x + 1.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

The difference between the two polynomials is 2x² + x + 4.

The two polynomials are:

6x² + 3x + 5 _____(1)

4x² + 2x + 1 ______(2)

The difference between (1) and (2)

6x² + 3x + 5 - 4x² - 2x - 1

2x² + x + 4

Thus,

The two polynomials are 6x² + 3x + 5 and 4x² + 2x + 1.

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The topological group G is a group that is also a topological space satisfying the T1 Axiom that is, there is a topology on the elements of G and all sets of a finite number .

Given :

A topological group G is a group that is also a topological space satisfying the T1 axiom, such that the map of G * G into G sending x * y into x⋅y, and the map of G into G sending x into x^−1, are continuous maps.

When we say the map of G * G into G defined as (x, y) 7 → x·y is continuous, we use the product topology on G * G. Since inversion maps G to G, the topology on G is used both in the domain and co - domain.

Every group G is a topological group. We just equip G with the discrete

topology. Continuity of the binary operation follows at (x, y) ∈ G * G by taking the open set O = { x · y } (the “δ set” ) for any given open set in G * G containing (x, y) (the “ε set”).

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Answer: After eight seconds, the bug can be at any point on the number line that is at a distance of at most 8 units from the origin. This includes all the integers from -8 to 8, inclusive, for a total of 17 possible positions. The probability of the bug being at any particular position is the same for all positions, which is 1/17.

After nine seconds, the bug can be at any point on the number line that is at a distance of at most 9 units from the origin. This includes all the integers from -9 to 9, inclusive, for a total of 19 possible positions. The probability of the bug being at any particular position is the same for all positions, which is 1/19.

For an independent-measures t test, the option that describes the estimated standard error of the difference in sample means is D. an estimate of standard distance between the difference in the sample mean and the difference in the corresponding population mean.

A statistical test called a t test is employed to compare the means of two groups. It is frequently employed in hypothesis testing to establish whether a procedure or treatment actually affects the population of interest or whether two groups differ from one another.

The Independent Samples t Test compares the means of two separate groups to see if there is statistical support that the population mean values are statistically significantly different. A parametric test is called the Independent Samples t Test. For instance, you could determine whether first-year graduate salaries varied by gender using an independent t-test.

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Complete question

for the independent-measures t test, which of the following describes the estimated standard error of the difference in sample means (whose symbol is

a. a weighted average of the two sample

b. the difference between the standard deviationa

c. The variance

d. an estimate of standard distance between the difference in the sample mean and the difference in the corresponding population mean.

The approximate difference in the maximum heights achieved by the two projectiles is 3.7 feet .

Given that :

f(x) = -16x^2 + 42x + 12,

f'(x) = -32x + 42 = 0 ,

so x = 42/32

= 21/16

= 1.3125

Then its max height is:

f(x) = f(21/16) = -16(21/16)2 + 42(21/16) + 12

f(x) = [-(21)2 + 42(21) + 12(16)]/16

= [-441 + 882 + 192]/16 = 633/16

= 39.563

= 39.6 rounded

g(0) =  -9 =  C

g(1) =  33 =  A + B + C = A + B -9,  so A = 33 + 9 -B = (42 - B)

g(2) =  25 = 4A + 2B - 9

25 = 4(42 - B) + 2B -9 = (168 - 9) -2B,

so  2B = -25 + 159 = 134  

B = 67

Then A = 42 - B

= 42 - 67

= - 25

Thus g(x) = -25x2 + 67x - 9,

and its derivative or slope is g'(x) = -50x + 67 = 0 for the peak height

x  = -67/-50 = 1.34,

g(x) = -25(1.34)2 + 67(1.34) - 9

= -44.89 + 89.78 - 9

= 35.89

= 35.9 rounded

Finally, the difference in peak or max height = 39.6 - 35.9

=  3.7 feet

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