Factorise this : 6xy-18y

The option that gives the tire life span that separates the upper 30% of the life spans from the lower 70%, obtained from the Z-table is 32,650 miles.

Given that  

mean = 32,000miles

standard deviation = 1,250miles

using the z - Table the answer is 0.52

which from the z-score table gives at point at a probability of 1 - 0.3 = 0.7, gives z ≈ 0.52

What is the Z-table?

The probability values of the likelihood that a z-value will be within a region of a normal distribution are provided in the Z-score table.

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If the mid point of AB is M(7,-5) and the coordinates of A is (6,-7) then the coordinate of B is (8,-3) .

The mid point of the line segment with the end coordinate as (x₁ , y₁) and (x₂ , y₂ ) is calculated using the formula

Mid Point = ( (x₁+x₂)/2 , y₁+y₂)/2 )

In the question ,

it is given that

the mid point of the line segment AB is (7 , -5)

and the coordinate of A is (6, -7)

let the coordinate of B be [tex]=[/tex] (x,y)

So , By mid point formula ,

we get ,

7 = (6 + x)/2

6 + x = 14

x = 14 - 6

x = 8

-5 = (-7 + y)/2

-7 + y = -10

y = -10 + 7

y = -3

So , B is (8 , -3)

Therefore, the coordinate of the Point B is (8,-3) .

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As per the concept of LCM, the smallest number of pumpkins she must have to make these groups is 36

LCM

LCM is also known as the Lowest Common Multiple (LCM) and Least Common Divisor (LCD).

For example two integers a and b, denoted

LCM (a , b),

Here the LCM is the smallest positive integer that is evenly divisible by both a and b.

Given,

Mariana can make groups of 3, 4, or 9 pumpkins with none left over

Here we need o find the smallest number of pumpkins she must have to make these groups.

Here we have the number of pumpkins as 3, 4, and 9.

Now, we have to find the LCM of these number.

Find and list multiples of each number until the first common multiple is found.

This is the lowest common multiple.

Multiples of 3:

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44

Multiples of 9:

9, 18, 27, 36, 45, 54

Here the common multiple of the number 3,4, and 9 is 36.

Therefore, LCM(3, 4, 9) = 36

So, 36 is the smallest number of pumpkins she must have to make these groups.

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Answer:

x = 11/9 and y = 26/9 or x = 3 and y = 2

Step-by-step explanation:

x + 2y = 7 --1

2x² + 3y = 5xy - 6 --2

From 1, make x the subject.

x = 7 - 2y

Substitute x = 7 - 2y into 2.

2(7 - 2y)² + 3y = 5y(7 - 2y) - 6

Simplify and solve for y.

2(49 - 28y + 4y²) + 3y = 35y - 10y² - 6

98 - 56y + 8y² + 3y = 35y - 10y² - 6

18y² - 88y + 104 = 0

9y² - 44y + 52 = 0

Factorise.

(9y - 26)(y - 2) = 0

9y - 26 = 0 or y - 2 = 0

9y = 26 or y = 2

y = 26/9 or y = 2

Substitute values of y into x = 7 - 2y.

x = 7 - 2(26/9) or x = 7 - 2(2)

= 11/9 = 3

Thus, x = 11/9 and y = 26/9 or x = 3 and y = 2.

When the number is a natural number, the solution set is = 6,7,8,...

Correct choices are (A), (D), (E), (F).

In mathematics, an inequality depicts the relationship between two non-equal values in an algebraic expression. Inequality signs can indicate that one of the two variables is greater than, greater than or equal to, less than, or less than or equal to another value.

Given inequality is,

12+11x/6 ≤ 5+3x

Solving the inequality is given by,

12+11x/6 ≤ 5+3x

12-5 ≤ 3x-11x/6

7 ≤ (18x-11x)/6

7 ≤ 7x/6

42 ≤ 7x

6 ≤ x

When it is natural number the solution set is = {6,7,8,...}

As a result, options (A), (D), (E), and (F) are correct.

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Answer:

w = 36

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] [tex]\sqrt{w}[/tex] + 1 = 4 ( subtract 1 from both sides )

[tex]\frac{1}{2}[/tex] [tex]\sqrt{w}[/tex] = 3 ( multiply both sides by 2 to clear the fraction )

[tex]\sqrt{w}[/tex] = 6 ( square both sides to clear the radical )

w = 6² = 36

The alternative hypothesis states that the difference is greater than zero.

What Are Tails in a Hypothesis Test?

First, we need to cover some background material to understand the tails in a test. Typically, hypothesis tests take all of the sample data and convert it to a single value, which is known as a test statistic. You’re probably already familiar with some test statistics.

For example, t-tests calculate t-values. F-tests, such as ANOVA, generate F-values. The chi-square test of independence and some distribution tests produce chi-square values. All of these values are test statistics.

Keep in mind that this t-distribution assumes that the null hypothesis is correct for the population. Consequently, the peak (most likely value) of the distribution occurs at t=0, which represents the null hypothesis in a t-test. Typically, the null hypothesis states that there is no effect. As t-values move further away from zero, it represents larger effect sizes. When the null hypothesis is true for the population, obtaining samples that exhibit a large apparent effect becomes less likely, which is why the probabilities taper off for t-values further from zero.

Hence the answer is the alternative hypothesis states that the difference is greater than zero.

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Answer:

(0,2) (2,0)

Step-by-step explanation:

choose a graph with those points

Answer: one degree of latitude is equal to 60 Minutes

Steps-  We Know that-

                                    1 min = 60 sec

                                    1 day = 24 hrs

  Additionally, The hour hand measures the clock's 360 degree arcs twice         throughout the day, i.e.

                                     2*360= 720 degree

                                     1 degree 2*360/12= 60 min

Hence proved 1 degree = 60 Minutes

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Answer:  The correct answer is $34.50

Step-by-step explanation:

large necklace sells for $5.10

small necklace sells for $4.90

Total = (Large*1) + (small*6)

Total = (5.10*1) + (4.90*6)

Total = 5.10 + 29.40

Total = 34.50

Remember to vote this answer as Brainliest if I earned it!  :)

Answer:

$34.50

Step-by-step explanation:

step 1

$4.90×6

=$29.40

step 2

$5.10+29.40

=$34.50

The sets [tex](\sqrt{7}, 4, \sqrt{23})[/tex] and[tex](\sqrt{29}, \sqrt{39}, 68)[/tex] could be used to form a right triangle.

What is right triangle?

A right triangle, also known as a right-angled triangle, an orthogonal triangle, or historically a rectangled triangle, is a triangle with one right angle, meaning that its two sides are perpendicular. Trigonometry's foundation is the relationship between the right triangle's sides and other angles.

Since for the right triangle is a, b, c are three sides of a triangle, where c is the diagonal, then

[tex]a^2 + b^2 = c^2[/tex]

Consider, the set  (3, 5, 8)

Here,  3^2 + 5^2 ≠ 8^2.

Consider, the set (8, 9, 11)

Here, 8^2 + 9^2 ≠ 11^2

Consider, the set [tex](\sqrt{7}, 4, \sqrt{23})[/tex]

Here, [tex](\sqrt{7})^2 + 4^2 = (\sqrt{23})^2[/tex]

Consider, the set [tex](\sqrt{29}, \sqrt{39}, 68)[/tex]

Here, [tex](\sqrt{29})^2 + (\sqrt{39})^2 = 68[/tex]

Hence, [tex](\sqrt{7}, 4, \sqrt{23})[/tex], [tex](\sqrt{29}, \sqrt{39}, 68)[/tex] could be used to form a right triangle.

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Answer:  square root of 7 comma 4 comma square root of 23

Step-by-step explanation: I took the test and I got it right

Answer:

B=78

Step-by-step explanation:

2x+4+2x-9+x=180

5x-5=180

5x=185

x=37

therefore B=78

Answer:

∠B = 78°

Step-by-step explanation:

The sum of the measures of the interior angles of a triangle is 180°.

The measurements of the triangle are ∠A = (2x - 9)°, ∠B = (2x + 4)°, and ∠C = x°.

Equation: (2x - 9) + (2x + 4) + x = 180

Step 1: Combine like terms.

[tex]\implies 2x + 2x + x- 9 + 4 = 180[/tex]

[tex]\implies 5x - 5 = 180[/tex]

Step 2: Add 5 to both sides.

[tex]\implies 5x - 5 + 5 = 180 + 5[/tex]

[tex]\implies 5x = 185[/tex]

Step 3: Divide both sides by 5.

[tex]\implies \dfrac{5x}{5} = \dfrac{185}{5}[/tex]

[tex]\implies x = 37[/tex]

Step 4: Substitute 37 as the value of x in ∠A, ∠B, and ∠C to find their measures.

[tex]\angle {\sf A} \implies 2(37) - 9 = 65[/tex]

[tex]\angle {\sf B} \implies 2(37) + 4 = 78[/tex]

[tex]\angle {\sf C} \implies 37[/tex]

The measure of the angles are: ∠A = 65°, ∠B = 78°, and ∠C = 37° . Together, they add up to 180°.

Positive value of z, the probability that a standard normal variable is between 0 and Z, the value of Z is 1.16

Given that:

P(0<Z<z)= 0.3770

P(Z<z)- P(Z<z)= 0.3770

P(Z<z)=0.3770- P(Z<z)

P(Z<z)=0.3770+ 0.5000        

{ we know that : P(Z<z)= P(Z<z)= 0.5}

P(Z<z)= 0.8770

so far calculating the value of Z, we look at the standard normal distribution table, we move to left until we reached first column we observe the value was 1.1 and then in the top value was observed we get the value that is 0.06. Then, we intersect the row and column we get the value of Z,

i.e, [1.1+ 0.06= 1.16]

Therefore P(Z≤1.16) = 0.8770

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Answer:

5x+2y-16=0 (general form)

y= -5/2 x+8 (slope intercept form)

Step-by-step explanation:

y-y1/x-x1 = y2-y1/x2-x1 ( formula)

y+2/x-4 = 3+2/2-4

y+2/x-4 = 5/-2

-2 (y+2) = 5 (x-4)( cross multiply)

-2y-4 = 5x-20

-2y = 5x-20+4

-2y = 5x-16

5x+2y-16 = 0 (general form )

OR

y = -5/2 x -16/-2yyyyx

y = -5/2 x + 8

Use the drop-down menus to complete the solution to the equation cosine (start fraction pi over 2 end fraction minus x) = start fraction start root 3 end root over 2 end fraction for all possible values of x on the interval [0, 2pi].

Using trigonometric identities, the solution to the equation [tex]cos(\frac{\pi }{2}-x) = \frac{\sqrt{3} }{2}[/tex] for all possible values of x on the interval [0, 2π].

What are trigonometric identities?

Trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.

[tex]cos(\frac{\pi }{2}-x) = \frac{\sqrt{3} }{2} \\\\cos(x)cos\frac{\pi }{2}+sin(x)sin \frac{\pi }{2} = \frac{\sqrt{3} }{2}\\\\cos(x)(0)+sin(x)(1) = \frac{\sqrt{3} }{2}\\\\sin(x) = \frac{\sqrt{3} }{2}\\\\x = \frac{\pi }{3}, \frac{2\pi }{3}[/tex]

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Answer:

c) 7(7 + 4)

Step-by-step explanation:

Given expression,

→ 49 + 28

Then equivalent expression is,

→ 7(7 + 4)

→ (7 × 7) + (7 × 4)

→ 49 + 28

Hence, the answer is 7(7 + 4).

Answer:7(7+4)

Step-by-step explanation:

The sum of the angles, ∠1 and ∠4 is 250.

What is alternate exterior angles?

The pair of angles known as alternate external angles are those that are generated on the outer side of the parallel lines but on the transverse side.

As given, the diagram of airport runway intersections show two parallel runways. A taxiway crosses both runways.

After crossing runways by taxiway the angles, ∠8 and ∠1 becomes same.

Since, ∠8 = 125  so ∠1 = 125.

Now ∠1 and ∠4 are alternate exterior angles.

It becomes ∠4 is same as ∠1.

Therefore, ∠1 = ∠4 = 125.

So the sum of angles, ∠1 and ∠4 is

125 + 125 = 250.

Hence, the sum of angles ∠1 and ∠4 is 250.

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It would cost $94.24 to purchase 9.5 lbs. of walnuts.

From the question, we have

To buy 1/4 lbs. of chopped walnuts, costs $2.48

To buy 1 lbs. of chopped walnuts, costs = $2.48*4  = $9.92

To buy 9.5 lbs. of chopped walnuts, costs = $9.92 * 9.5

=$94.24

Multiplication:

In mathematics, multiplying the numbers is used to find the product of two or more numbers. We carry out one of the basic mathematical operations on a regular basis. The main application that is obvious is using multiplication tables. Mathematicians use the multiplication of two integers to express the repeated addition of one number to another. These numbers can be natural numbers, fractions, integers, whole numbers, etc. M is either added to itself 'n' times or subtracted from itself when m is multiplied by n.

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An olympic sized pool, which hold 660,000 gallons of water, is only 63% full. the pool maintenance company adds more water, filling the pill to 90% full.

The amount of water added by the pool maintenance to make the pool 90% full is 178,200 gallons.

The amount of water an Olympic-sized pool can hold is, 660,000 gallons.

The pool is 63% full at the moment.

The of water in the pool now is: 63% of 660,000 = 415,800 gallons

If the pool is 90% full then the amount of water in the pool is:

90% of 660,000 = 594,000 gallons

The amount of water added by the pool maintenance is:

Amount of water added = 90% of 660,000 - 63% of 660,000

                                     = 594,000 - 415,800

                                     = 178,200

Hence the answer is, the amount of water added by the pool maintenance to make the pool 90% full is 178,200 gallons.

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Someone who makes $40,000 in the United States would need to earn  $26,400 in Mexico

What is an example of a unitary method?

A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.

Earning in the United States equals earning in Maxico.

By applying the formula, a person's estimated annual income in the United States is $30303 when their annual income in Mexico is $20,000.

hence when $30303 in United States = $20,000 in Maxico

$40,000 in United States = (20,000/30303) * 40,000 in Maxico = $26400 (Approx)

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Inflection points for the given equation x^2e^{-2x} are [tex]\left(\frac{2-\sqrt{2}}{2},\:\frac{e^{-2+\sqrt{2}}\left(3-2\sqrt{2}\right)}{2}\right),\:\left(\frac{2+\sqrt{2}}{2},\:\frac{e^{-2-\sqrt{2}}\left(3+2\sqrt{2}\right)}{2}\right)[/tex]

What is inflection point and how to find an inflection point?

The point of inflection, also known as the inflection point, is when the function's concavity changes. Changing the function from concave down to concave up, or vice versa, signifies that. In other words, an inflection point is the location at which the rate of slope shift from a growing to a decreasing way, or vice versa, occurs. There is no doubt that those positions are neither local maxima nor minima. They are fixed points.

Finding the Inflection Point on a Graph?

On a curve, an inflection point is when the concavity changes, according to definition. (i.e., a shift in the sign of curvature). We are aware that the function is concave up if f " > 0, and that it is concave down if f " 0. The point of inflection on a graph is where the function switches from positive to negative, or from negative to positive, at a particular value of x = c.

f'(x) = [tex]2xe^(^-^2^x^) - 2x^2e^(^-^2^x^)[/tex]

f'(x) = [tex]-2\left(x-1\right)x\mathrm{e}^{-2x}[/tex]

Now again differentiating for inflection point :

f''(x) = [tex]-2\left(-2\left(x-1\right)x\mathrm{e}^{-2x}+x\mathrm{e}^{-2x}+\left(x-1\right)\mathrm{e}^{-2x}\right)[/tex]

f''(x) = [tex]4\left(x-1\right)x\mathrm{e}^{-2x}-2x\mathrm{e}^{-2x}-2\left(x-1\right)\mathrm{e}^{-2x}[/tex]

f''(x) = [tex]\left(4x^2-8x+2\right)\mathrm{e}^{-2x}[/tex]=0

Now we have to solve this quadratic for inflection point

[tex]2x^2-4x+1=0[/tex]

Using quadratic formula

x= -b±√(b^2 - 4ac)/2a

x=4±√(16+16)4

x=4±4√2/4

[tex]x=\dfrac{\sqrt{2}+2}{2}[/tex]

[tex]x=\dfrac{\sqrt{2}-2}{2}[/tex]

Now on putting  [tex]\dfrac{\sqrt{2}+2}{2}[/tex]  and[tex]\dfrac{\sqrt{2}-2}{2}[/tex] in f(x)

we get,

=[tex](\dfrac{\sqrt{2}+2}{2})^ 2 * e ^ (^-^ ^{\sqrt{2}+2})[/tex]

=[tex]\frac{e^{-2+\sqrt{2}}\left(3-2\sqrt{2}\right)}{2}\right)[/tex]

And   [tex](\dfrac{\sqrt{2}-2}{2})^ 2 * e ^ (^-^ ^{\sqrt{2}-2})[/tex]

=  [tex]\frac{e^{-2+\sqrt{2}}\left(3-2\sqrt{2}\right)}{2}\right)[/tex]

so, inflection points are

[tex]\left(\frac{2-\sqrt{2}}{2},\:\frac{e^{-2+\sqrt{2}}\left(3-2\sqrt{2}\right)}{2}\right),\:\left(\frac{2+\sqrt{2}}{2},\:\frac{e^{-2-\sqrt{2}}\left(3+2\sqrt{2}\right)}{2}\right)[/tex]

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Using the equation of the model:

a. 150,400 or 150.4 thousand.

b. 467.5 thousand or 467,500.

An equation that models a given scenario can be used to make predictions or determine certain values of any of the variables involved.

Given the equation that models the number of college students who studied abroad each year is expressed as: y = 123.1(1.069)^x, where:

y = number of students from a country in thousands

x = number of years after 1998

a. 2001 after 1998 is 3 years. Substitute x = 3 into the equation, y = 123.1(1.069)^x:

y = 123.1(1.069)^3

y = 150.4

Number of students studying abroad in 2001 is: 150,400 or 150.4 thousand.

b. 2018 from 1998 is 20 years. Substitute x = 20 into the equation, y = 123.1(1.069)^x:

y = 123.1(1.069)^20

y = 467.5

Number of students studying abroad in 2018 is: 467.5 thousand or 467,500.

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The equation of slope-intercept form the line passing through (0,0) and (2,5) will be y = ( 5 / 2 )x. The correct option is C.

What is slope-intercept form explain?

m = ( y₂ - y₁) / ( x₂ - x₁ )

m = ( 5 - 0 ) / ( 2 - 0 )

m = ( 5 / 2 )

y = ( 5 / 2)x + c

0 = 0 + c

c = 0

Y = ( 5 / 2)x

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The equivalent measure of 10 L when rounded to nearest 10 is 10,000 ML.

According to the question,

We have the following information:

10 Litres

Now, to find the equivalent measurement, we will convert 10 L into another unit. Let's convert litres into mililitres.

We know that 1 litre is equal to 1000 ml.

So, we have the following expression:

1 litre  = 1000 ml

10 litres = 10*1000 ml

10 l = 10,000 ml

Now, rounding it off to nearest 10, we will get:

10,000 ml  (Because the number right next to ten place value is 0. Hence, the digits are same.)

Hence, the equivalent measure of 10 L when rounded to nearest 10 is 10,000 ML.

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Answer:

m<X=m<Z

Step-by-step explanation:

In an isosceles triangle, 2 sides are congruent, and the opposite angles of those sides are congruent.

The angle opposite side XY is <Z.

The angle opposite side YZ is <X.

Since sides XY and YZ are congruent, then angles Z and X are congruent.

Answer: m<X=m<Z

Answer:

Step-by-step explanation:

False

Answer:

False statement

Step-by-step explanation:

Currently, the inequality of the line is x < -18.75  like shown in the number line.

If you want to substitute -17 for x, you have to make sure it makes sense.

The inequality will be -17 < -18.75.

Now, is this inequality a true one? No, because -17 is not less than -18.75 making this a false statement.

You can also check with the number line in the image.

Does the line pass through -17?

The statements that use a while loop to assign a string consisting of exactly 777 asterisk to s are mentioned below:

i=0

While i<777

[Tab Key]s=s+"*"

[Tab Key]i+=1

A variable is a sign and placeholder in mathematics for any mathematical object. A variable can be a number, a vector, a matrix, a function, its argument, a set, or an element of a set.

Algebraic calculations that treat variables as if they were explicit integers solve a variety of issues in a single step. The quadratic formula, for example, solves any quadratic equation by substituting the numeric values of the equation's coefficients for the variables represented by the quadratic formula. A variable in mathematical logic is either a sign expressing an unnamed word of the theory (a meta-variable) or a basic item of the theory that is changed without reference to its theory.

Given,

A variable s is assigned to an empty string.

The statements that use a while loop to assign a string consisting of exactly 777 asterisk to s,

i=0

While i<777

[Tab Key]s=s+"*"

[Tab Key]i+=1

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The greater the discount from fair value, the smaller the liquidity index will be, and the greater the liquidity risk the FI will be exposed to.

The days needed to turn a company's trade receivables or inventory into cash are determined by the liquidity index.

Thus, the liquidity index would be smaller and the FI will be exposed to more liquidity risk the wider the discount from fair value.

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Answer:

Yes, the point is on the line.  It does result in a true statement.

Step-by-step explanation:

y = 1/2x -5

-2 =1/2(6) -5

-2 = 3 -5

-2 = -2

Answer:

So select "is" true.

Step-by-step explanation:

So we're given the equation: y = 1/2x - 5.

So the slope is 0.5 or 1/2.

The y-intercept is -5 or (0, -5).

To find if the ordered pair holds true or not we must evaluate.

So we start at:

(0, -5)

(1, -4.5)

(2, -4)

(3, -3.5)

(4, -3)

(5, -2.5)

(6, -2)    

- WE ARE INCREASING BY 1/2 AS ITS THE SLOPE!!

Therefore, after evaluating, it can be seen that it does hold true.

Answer:

Step-by-step explanation:

poop