solve for x in square. Given: (6x-21)

The student did better in the test of Geography.

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

To solve this question, we will use the z-score formula to find the w test in which the student scored better. The z-score formula is;

z = (x - μ)/σ

Now, for Geography we have given :

              Test score (x) = 68

                      Mean (μ) = 80

Standard deviation (σ) = 10

Thus, the z-score here will be :

z = (68 - 80)/10

z = -1.2

Similarly, for Mathematics we have given :

              Test score (x) = 249

                      Mean (μ) = 300

Standard deviation (σ) = 34

Thus, the z-score here will be :

z = (249 - 300)/34

z = -1.5

Since the z-score for Geography is less than that of Mathematics, thus, we can conclude that the Geography test is the one in which the student scored better.

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Answer:

the other factor is (x+7)

Step-by-step explanation:

Given x^2+11x+28

factor into

x^2+7x + 4x + 28

=x(x+7) + 4(x+7)

= (x+4)(x+7)

Answer: the other factor is (x+7)

The equation will be (2w ,+ 3) + (w + 2) + (3w + 4) = 600

The ratio in lowest term will be 2:1:3

When they donate $50, the ratio will be 1:4.

a. The equation based on the information will be:

(2w + 3) + (w + 2) + (3w + 4) = 600

6w + 9 = 600

6w = 600 - 9

6w = 591

Divide

w = 591/6

w = 98.5

b. Therefore, (2w + 3) = 2×98.5 + 3 = 200

(w + 2) = 98.5 + 2 = 100.5

(3w + 4) = 3(98.5) + 4 = 299.5

The ratio in lowest term will be 2:1:3.

c. When they donate $50, the ratio will be:

= (50 × 3)/600

= 150/600

= 1:4

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Qualitative research would that study both groups and monitored to see if either of these made a difference in how often these people use their smart phones use while behind the wheel.

Qualitative exploration is a type of exploration that explores and provides deeper perceptivity into real- world problems. rather of collecting numerical data points or intermediate or introduce treatments just like in quantitative exploration, qualitative exploration helps induce suppositions as well as further probe and understand quantitative data. Qualitative exploration gathers actors' gests , comprehensions, and geste . It answers the approaches and whys rather of how numerous or how important. It could be structured as a stage-alone study, purely counting on qualitative data or it could be part of mixed- styles exploration that combines qualitative and quantitative data. This review introduces the compendiums to some introductory generalities, delineations, language, and operation of qualitative exploration.

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The perimeter of the trapezoid ABFE and the prove that the triangle ΔABC is an isosceles are as follows;

First question;

The perimeter of the trapezoid ABFE is 100 units

Second question;

The sides AB and BC in the triangle ΔABC are congruent, therefore, triangle ΔABC is an isosceles triangle

An isosceles triangle is a triangle that has two sides that have the same lengths.

The specified parameters are;

The segment joining the midpoints of the side \(\overline{AC}\) and \(\overline{BC}\) of the equilateral triangle ΔABC = EF

EF = 2·x + 8 and AB = 7·x - 2

The midsegment theorem applied to the triangle ΔABC indicates that we get;

EF = (1/2) × AB

Therefore; 2·x + 8 = (1/2) × (7·x - 2)

(1/2) × (7·x - 2) = 2·x + 8

7·x - 2 = 2 × (2·x + 8)

7·x - 2 = 4·x + 16

7·x - 4·x = 16 + 2 = 18

3·x = 18

x = 18/3 = 6

x = 6

EF = 2·x + 8

Therefore; EF = 2 × 6 + 8 = 20

EF = 20

AB = 7·x - 2

Therefore; AB = 7 × 6 - 2 = 40

AB = 40

AB = AC = BC (Definition of an equilateral triangle)

Therefore;

AC = BC = AB = 40 (symmetric property)

The midpoints E and F, indicates that we get;

AE = CE and BF = CF

AC = AE + CE and BC = BF + CF (segment addition property)

Therefore; AC = AE + AE = 2 × AE

40 = 2 × AE

AE = 40/2 = 20

BC = 2 × BF

40 = 2 × BF

BF = 40/2 = 20

The perimeter of the trapezoid ABFE, P = AB + BF + EF + AE

P = 40 + 20 + 20 + 20 = 100

Second question

The coordinates of the vertices of the triangle are;

A(1, 2), B(-5, 3), and C(-6, -3)

The lengths of the sides of the triangle found using the distance formula are;

AB = √((-5 - 1)² + (3 - 2)²) = √(37)

BC = √((-6 - (-5))² + (-3 - 3)²) = √(37)

AC = √((-6 - 1)² + (-3 - 2)²) = √(74)

The lengths of the sides AB and BC in the triangle ΔABC are the same, therefore, the triangle ΔABC is an isosceles triangle.

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Answer:

Distance of A from P =  2.55 Kilometers

Step-by-step explanation:

Find the attached solution

Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

The increase in the amount of wages of Gabriela is $ 41,400

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount after increase in wages be = A

Now , the initial amount of Gabriela be = $ 36,000

And , the percentage increase in the wages = 15 %

So , the equation will be

Total amount after increase in wages A = initial amount + ( percentage increase x initial amount )

Total amount after increase in wages A = 36,000 + ( 15/100 x 36,000 )

Total amount after increase in wages A = 36000 + ( 15 x 360 )

Total amount after increase in wages A = 36000 + 5400

Total amount after increase in wages A = $ 41,400

Therefore , the value of A is $ 41,400

Hence , The increase in the amount of wages of Gabriela is $ 41,400

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Answer:

The length of the base is \(\frac{3}{4}\)

Step-by-step explanation:

Since we know the formula to find the area of a triangle is \(A = \frac{1}{2} bh\), we can plug in and solve for b. When we plug into the formula we get:

\(\frac{1}{2} (\frac{1}{5} )b\) = \(\frac{3}{40}\)

First multiply by 2 on both sides to get rid of the 1/2 on the left. After doing this we get:

\(\frac{1}{5}b = \frac{3}{20}\)

Then we can multiply by 5 on both sides to get rid of the 1/5 on the left. After doing this we get out answer:

\(b = \frac{3}{4}\)

The average size of a customer's bill at a restaurant that earns daily $3,250 for the meals that it sells to 200 customers is $16.25. Therefore, the right answer is option (c).

The average or mean is calculated by taking the ratio of the total sum of the outcomes of an event to the frequency or the number of times the event occurs.

It can be written as \(\frac{n_1+n_2+.....+n_a}{a}\).

In the given question, the sum of the customer bill is given as $3,250.

And the number of customers served is given to be 200.

Therefore, the average size of a customer's bill is calculated by \(\frac{3250}{200}\)

Which turns out to be $16.25.

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The answer is $16.25. To find the average size of a customer's bill, you would divide the total earnings by the number of customers.
$3,250 / 200 customers = $16.25 per customer.

To find the average size of a customer's bill at the restaurant, you need to divide the total daily earnings by the number of customers. Here's a step-by-step explanation:

1. The restaurant earns $3,250 daily from the meals it sells.
2. The restaurant serves 200 customers daily.

Now, calculate the average bill size:

3. Divide the total daily earnings ($3,250) by the number of customers (200).

$3,250 ÷ 200 = $16.25

The average size of a customer's bill at the restaurant is $16.25.

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using exponents, On simplifying the equation, we get =4m+8.

The PEMDAS order of operations must be followed when you want to simplify a mathematical equation without using parenthesis (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There are no parenthesis in the expression, so you may start looking for exponents. If it does, first make that simpler.

Work simplification is to develop better work processes that boost output while cutting waste and costs.

Simplifying an expression is the same as solving a mathematical issue. When you simplify an equation, you essentially try to write it as simply as you can. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.

Given equation,

m-(8-3m)

=m-8+3m

=4m+8

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The mean thickness of each paper sheet is 0.0095 inch with a variance of 0.00003225. Approximately 45.45% of the sheets are less than 0.0095 inch thick, and 40% have a thickness greater than 0.0123 inch.

Mean and variance for thickness of each paper sheet

Since the thickness of each paper sheet is uniformly distributed between 0.004 and 0.015 inch, the mean thickness is the average of the minimum and maximum values

Mean = (0.004 + 0.015) / 2 = 0.0095 inch

The variance of a uniform distribution is given by

Variance = (b - a)^2 / 12

where a and b are the minimum and maximum values of the distribution, respectively. Substituting the values, we get

Variance = (0.015 - 0.004)^2 / 12 = 0.00003225

Therefore, the mean thickness of each paper sheet is 0.0095 inch, and the variance is 0.00003225.

Proportion of paper sheets which are less than 0.0095 inch thick

Since the thickness of each paper sheet is uniformly distributed between 0.004 and 0.015 inch, we can find the proportion of sheets that are less than 0.0095 inch by finding the area under the density function of the uniform distribution between 0.004 and 0.0095.

The density function of a uniform distribution is given by

f(x) = 1 / (b - a)

where a and b are the minimum and maximum values of the distribution, respectively. Substituting the values, we get

f(x) = 1 / (0.015 - 0.004) = 1/0.011

The area under the density function between 0.004 and 0.0095 gives the proportion of paper sheets that are less than 0.0095 inch thick:

Proportion = ∫(0.004 to 0.0095) f(x) dx = [x / (b - a)](0.0095 - 0.004) = 0.4545

Therefore, approximately 45.45% of the paper sheets are less than 0.0095 inch thick.

Thickness exceeded by 40 percent of the paper sheets

To find the thickness exceeded by 40% of the paper sheets, we need to find the value of x for which 40% of the area under the density function lies to the right of x.

Since the density function is uniform, the area to the right of x is given by

Area = (b - x) / (b - a)

We want to find the value of x for which this area is equal to 0.4. Substituting the values, we get

0.4 = (0.015 - x) / (0.015 - 0.004)

Solving for x, we get

x = 0.0123

Therefore, 40% of the paper sheets have a thickness greater than 0.0123 inch.

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Answer:

hiii

the answer is option B

The answer is The median for group 1 and group 2 is the same.

The median is the middle number in a set of values when those values are arranged from smallest to largest.

The medians are very close together. Because in group 1, the median was 4.5 while in group 2 the median was 5, so I would say that is pretty close.

"The range for group 2 is greater than the range of groups 1" is not correct because in group 1 there is an x on 1 and an x on 10 while in group 2, there is a 2 x's on 2 and 2 x's on 8.

"The mode is the same for both sets of data" is not correct because in group 1 there was 3 x's on 3,4,and 7 while in group 2 there was 3 x's on 3 and 4 x's on 6.

"On average, the people in group 1 and in group 2 have about 5 electronic devices in their household" is not correct either because in group 1 there were 2 x's on 5 while in group 2 there was 1 x on 5, so this wouldn't be correct.

Hence, The option D is the correct option.

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Answer: 111 ft tall. Thats a big tree!

Step-by-step explanation: if its seven more than two times the height of the house, do 52 X 52 + 7 which equals 111 ft.

Answer: rotation, followed by a translation

O a translation, followed by two reflections

Step-by-step explanation:

The answer is C and E.

A: a dilation, followed by a rotation

B: a reflection, followed by a dilation

C: a rotation, followed by a translation

D: a translation, then a rotation, followed by a stretch

E: a translation, followed by two reflections

Answer:

1/-2

Step-by-step explanation:

Answer:

I think its -2

Step-by-step explanation:

y2-y1/x2-x1

Answer:

2,200

Step-by-step explanation:

Number of hours amusement park opens = 11 hours

Number of people who ride the swing in one hour = approximately 200

what is the maximum amount of people that can ride the swing in one day?

Number of people that can ride the swing in one day = Number of hours amusement park opens × Number of people who ride the swing in one hour

= 11 × 200

= 2,200 approximately

Number of people that can ride the swing in one day = 2,200

Answer:

In mathematics, a coefficient is a factor linked to a monomium. Given a monomium divider, the coefficient is the ratio of the monomium by the divider. Thus the monomium is the product of the coefficient and the divider. The different coefficients will depend on the factorization of the monomium. This is usually next to the letter that accompanies the algebraic fraction. A numeric coefficient is a constant factor of a specific object. For example, in the expression 9x2, the coefficient of x2 is 9. In elemental algebra, numeric coefficients of similar terms are grouped together to simplify algebraic expressions.

Step-by-step explanation:

Answer:

The circumference is 8π yards, or about 25.13 yards. Since we need to use 3.14 for π, the circumference of the pond is about 8 × 3.14 = 25.12 yards.

The range of the function y=-16t²+24t+2 is y ≤ 11.

What is the definition of a function?

A function is a mathematical relationship between a set of inputs and a set of outputs, where each input is associated with a unique output. In other words, it is a rule or process that assigns exactly one output value to each input value. The input values are typically represented by the variable x, while the output values are represented by the variable y. Functions are often written in the form y = f(x), where f is a symbol representing the function.

Now,

The given function is:

y = -16t² + 24t + 2

To find the range, we can find the vertex of the parabola. The vertex will be

t = -b/2a

where a = -16, b = 24.

Substituting the values, we get:

t = -24/(2*(-16))

t = -24/-32

t = 0.75

Substituting t = 0.75 in the given function, we get:

y = -16(0.75)² + 24(0.75) + 2

y = -9 + 18 + 2

y = 11

Therefore, the vertex of the parabola is (0.75, 11). Since the parabola opens downwards, the range is y ≤ 11. Thus, the relative range of the given function is y ≤ 11.

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Answer:

64-degree ( Alternate angles)

Answer:

y = 64 degree

Step-by-step explanation:

angle y =  64 degree (being alternate interior angles)

y° = 64°

Answer:

x-intercept

y=0

8x - 7(0)= -56

8x = -56

x = -7

(-7, 0)

y-intercept x= 0

8(0) -7y = -56

-7y = -56

y = 8

(0, 8)

Step-by-step explanation:

The x - intercept of the equation is, (- 7, 0)

The y - intercept of the equation is, (0, 8)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ 8x - 7y = - 56

Now, We have to find the x - intercept as;

Substitute y = 0,

⇒ 8x - 7×0 = - 56

⇒ 8x = - 56

⇒ x = - 56/8

⇒ x = - 7

And, We have to find the y - intercept as;

Substitute x = 0,

⇒ 8x - 7y = - 56

⇒ 8×0 - 7y = - 56

⇒ - 7y = - 56

⇒ 7y = 56

⇒ y = 56 / 7

⇒ y = 8

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Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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Answer: 234,253.50

Work: I did 22 to the power of 4 first and I got 234256. I subtracted 2 which is 234254, and than took 1/2. So, the answer is 234253.50.

No, because AB is 2/5 the length MN but CD is 1/3 the length QP.  

What is Dilation transformation?

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation. The phrase "scale factor" describes this transition.

Enlargement is the term used when a dilatation results in a bigger picture.

Reduction occurs when a dilatation results in a smaller picture.

Comparing the corresponding sides, the length of AB is 4. The length of MN is 10.  This makes their ratio 4/10 = 2/5.

The length of CD is 2. The length of QP is 6.  this makes their ratio 2/6 = 1/3.

The ratios of the sides are not the same, so the figure is not proportional and is therefore not a dilation.

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Answer:

2 to the power of 3 or 2^3

Answer: 8

Step-by-step explanation:

•2 large sheets of papers:

i)cuts in half

-left 4pieces.

ii) the cutted one (smaller ones) cutted again 1 time

-left 6pieces.

iii) the cutted one will be cutted again (2nd time.) And so...

-left 8 pieces.

Please let me know if you haven't understand any of the steps...☺

l hope u like it....

Pleeeeeeeeeeeeeeeeease mark me as a brainliestt....❤

Thankyouuuu

Answer:

Step-by-step explanation:

-w(2+5)

W is like term

Answer:

42 degrees

Step-by-step explanation:

The measure of the indicated angle is 42 degree.

An isosceles triangle has two equal sides regardless of the direction the apex (or peak) of the triangle points. Some useful information regarding isosceles triangles is as follows:

We have a Triangle.

Then, using Isosceles Triangle Theorem

Angles opposite an isosceles triangle's equal sides are also equal.

According to the isosceles triangle theorem, if two sides of a triangle are congruent, then the angles opposite the congruent sides are likewise congruent.

So, x= 42 degree.

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1.) 3x

2.) area

3.) six

4.) 3/2

:)

Answer:

The height of the pyramid can be represented as

3x

The

area

of an equilateral triangle with length

The area of the hexagon base is

six

The volume of the pyramid is

3/2

Step-by-step explanation: