A simple random sample of size 30 is drawn from a population of size 200. if the population mean is 57 and the population standard deviation is 6, what is the standard error of the mean?

Answers

Answer 1

Answer:

1.0954.

Step-by-step explanation:

Standard error  =  std dev / √n

=  6 / √30

= 1.0954.


Related Questions

If the p-value is smaller than the level of significance, what conclusion should we reach?

Answers

If the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.

In this question,

A p-value is a probability, calculated after running a statistical test on data and it lies between 0 and 1. The p-value only tells you how likely the data you have observed is occurred under the null hypothesis.

One of the most commonly used p-value is 0.05. If the value is greater than 0.05, the null hypothesis is considered to be true. If the calculated p-value turns out to be less than 0.05, the null hypothesis is considered to be false, or nullified (hence the name null hypothesis).

A small p-value (< 0.05 in general) means that the observed results are unusual, assuming that they were due to chance only. Now, the smaller the p-value, the stronger the evidence that should reject the null hypothesis.

Hence we can conclude that if the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.

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Find the shaded area. Round to the nearest 10th, if necessary.

Answers

Answers:

16 cm²

24 cm²

40 cm²

Step-by-step explanation:

     The area of a rectangle can be found with A = L * W where A is the area, L is the length, and W is the width.

     [1] First shaded area

A = L * W

A = (4 cm) * (12 cm - 5 cm - 3 cm)

A = (4 cm) * (4 cm)

A = 16 cm²

     [2] Second shaded area

A = L * W

A = (2 cm) * (12 cm)

A = 24 cm²

     Lastly, we add them together.

16 cm² + 24 cm² = 40 cm²

Can the mixed number 7 and 13/100 be simplified?

Answers

Step-by-step explanation:

Reduce 13/100 to lowest terms

13

100

is already in the simplest form. It can be written as 0.13 in decimal form (rounded to 6 decimal places).

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 13 and 100 is 1

Divide both the numerator and denominator by the GCD

13 ÷ 1

100 ÷ 1

Reduced fraction:

13

100

Therefore, 13/100 simplified to lowest terms is 13/100.

The mixed number [tex]7\dfrac{13}{100}[/tex] is [tex]\dfrac{713}{100}[/tex] on simplification.

A mixed number is a mathematical representation of a number that consists of a whole number and a fraction. It's called a "mixed number" because it combines both a whole number and a proper fraction. The whole number part represents a whole quantity, while the fractional proportion represents a proportion of a whole.

Mixed numbers are generally employed to represent measures that aren't whole numbers but are still greater than 1. They're particularly useful when dealing with magnitudes, such as lengths or quantities of things, that concern both whole units and fractional parts.

Given that

[tex]7\dfrac{13}{100}[/tex] [tex]= 7 + \dfrac{13}{100}[/tex]

       [tex]= \dfrac{700}{100}+ \dfrac{13}{100}\\= \dfrac{700+13}{100} \\= \dfrac{713}{100}[/tex]

Hence, The mixed number [tex]7\dfrac{13}{100}[/tex] can be simplified as [tex]\dfrac{713}{100}[/tex].

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The water usage at a car wash is modeled by the equation w(x) = 4x3 6x2 − 11x 7, where w is the amount of water in cubic feet and x is the number of hours the car wash is open. the owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. the amount of decrease in water used is modeled by d(x) = x3 2x2 15, where d is the amount of water in cubic feet and x is time in hours. write a function, c(x), to model the water used by the car wash on a shorter day. c(x) = 4x3 4x2 − 11x 8 c(x) = 3x3 4x2 − 11x − 8 c(x) = 3x3 4x2 − 11x 8 c(x) = 4x3 4x2 − 11x − 8

Answers

A function, C(x), to model the water used by the car wash on a shorter day will be (B) 3x³ + 4x² - 11x - 8.

What is an equation?A relationship between two variables is defined as an equation; if we plot the graph of the linear equation, we will get a straight line.

To find a function, C(x), to model the water used by the car wash on a shorter day:

Given information -

The water usage at a car wash is modeled by the equation W(x) = 4x³ + 6x² − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open.The amount of decrease in water used is modeled by D(x) = x³+ 2x² + 15, where D is the amount of water in cubic feet and x is time in hours.

Now the amount of water is cut from the total water usage so to find out the new model c(x) we need to subtract the decrease in water from the total water usage.

We are trying to find:

C(x) = W(x) - D(x)C(x) = (4x³ + 6x²− 11x + 7) - (x³ + 2x² + 15)C(x) = 4x³  -  x²  +  6x² - 2x³  - 11x  +  7  - 15C(x) = 3x³ + 4x² - 11x - 8

Therefore, a function, C(x), to model the water used by the car wash on a shorter day will be (B) 3x³ + 4x² - 11x - 8.

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The correct question is given below:

The water usage at a car wash is modeled by the equation W(x) = 4x3 + 6x2 − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours.

Write a function, C(x), to model the water used by the car wash on a shorter day

Question 2 of 10 Based only on the information given in the diagram, it is guaranteed that PQR~ STU.
A. True B. False
please!? thanks!​

Answers

The given statement is false because the triangles may not be identical if their corresponding angles are genuinely different.

What is the triangle?Three sides, three vertices, and three angles make up a triangle. A triangle's three interior angles are always added up to 180 degrees. A triangle's two longest sides are always longer than its third side. A triangle with the vertices P, Q, and R symbol is  △PQR.

Based only on the information given in the diagram, it is guaranteed that PQR~ STU:

Two right triangles, ΔPQR and  ΔSTU—are shown in the illustration with their right angles at ∠P and ∠S, respectively.

It is also demonstrated that TU = 12 units and QR = 6 units.

Because we only provided one set of congruent angles, we are unable to apply the A postulate of similarity to it.

Additionally, since there is only one pair of comparable sides, we are unable to determine whether they are proportionate.

The statement "based purely on the information presented in the diagram, it is assumed that triangle PQR triangle STU" is False because the triangles may not be identical if their corresponding angles are genuinely different.

Hence, The given statement is false.

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Which rule describes the composition of transformations that maps ΔJKL to ΔJ"K"L"?

90 degree rotation about point 0 composition translation of 0 units x, negative 2 units y
Translation of 0 units x, negative 2 units y composition 90 degree rotation about point 0
90 degree rotation about point 0 composition translation of negative 2 units x, 0 units y
Translation of negative 2 units x, 0 units y composition 90 degree rotation about point 0

Answers

A rule which describes the transformations that maps ΔJKL to ΔJ"K"L" is: D. translation of -2 units x, 0 units y composition 90 degree rotation about point 0.

What is a transformation?

A transformation refers to the movement of a point on a cartesian coordinate from its original (initial) position to a new location.

In Geometry, there are different types of transformation and these include the following:

DilationReflectionRotationTranslation

Based on the diagram (see attachment), we can infer and logically deduce that a rule which describes the transformations that maps triangle JKL to triangle J"K"L" is a rotation of 90 degrees about the origin and then translated 2 units left.

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In a local shop some items are being sold at a third off. They now cost the following amounts. What was the original full price? 40 POINTS AND BRAINLIEST

1.£6.46

2.£58.24

3.£114.28

4.£12.50

5.£10.86

Answers

Answer:

1) 9.69

2) 87.36

3) 171.42

4) 18.75

5) 16.29

Step-by-step explanation:

Treat each value's full price as x. then, all of the values are (2/3)x. To get (2/3)x back to x, we must multiply (2/3)x*(3/2)=x. Multiply each of the questions given by 3/2 or 1.5

For each graph below,state whether it represents a function

Answers

Answer:

1. No

2. No

3. Yes

4. No

5. Yes

6. No

Step-by-step explanation:

If you want to check if a graph is a function, do a vertical line test. For every vertical line, there should be only 1 point on the line if the graph is a function.

Jack wants to plant a border of flowers in the shape of an arc along the edge of a circular walkway. if the circle has a radius of 5 yards and the angle subtended by the arc measures 1.5 radians, what is the length of the curved border?

Answers

[tex]5(1.5)=\boxed{7.5 \text{ yd}}[/tex]

The length of the curved border or arc is 7.5 yards.

the length of the arc = [tex]\theta \times r[/tex]

given that [tex]\theta[/tex] = 1.5 radian

radius = 5 yards

then the length of arc from the above formula

[tex]l = \theta \times r\\l = 1.5 \times 5 = 7.5[/tex] yards

What is arc?A circle's arc is referred to as a portion or section of its circumference.A chord of a circle is a straight line that might be created by joining the arc's two ends.A semicircular arc is one whose length is exactly half that of a circle.

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If (fg)(x) = h(x) such that h of x is equal to the square root of the quantity 8 times x plus 6 end quantity which of the following could accurately represent f and g?

Answers

The value of the functions f(x) and g(x) will be √(4x + 3) and √2. Then the correct option is B.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

If (f g)(x) = h(x) such that h(x) = √(8x + 6). Then we have

(f g)(x) = h(x)

f(x) · g(x) = h(x)

Then put the value of h(x), then we have

f(x) · g(x) = √(8x + 6)

f(x) · g(x) = √2(4x + 3)

f(x) · g(x) = √(4x + 3) × √2

Thus, the value of the functions f(x) and g(x) will be √(4x + 3) and √2.

Then the correct option is B.

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What is the period of y=−5 cos( 8 π ​ x)+3? Give an exact value. units PLEASE MAKE IT QUICK

Answers

Answer:

Maximum/Minimum Value:  (0,−2)   is a local minima (1/8,8)  is a local maxima

Explanation: Use the derivative to find the maximum and minimum

Answer:

Period = ¹/₄

Step-by-step explanation:

The cosine function is periodic, meaning it repeats forever.

Standard form of a cosine function:

f(x) = A cos(B(x + C)) + D

where:

A = amplitude (height from the mid-line to the peak)2π/B = period (horizontal distance between consecutive peaks)C = phase shift (horizontal shift - positive is to the left)D = vertical shift

Given function:

[tex]y=-5 \cos (8 \pi x)+3[/tex]

Comparing the given function with the standard form:

A = 5B = 8πC = 0D = 3

[tex]\implies \sf Period=\dfrac{2 \pi}{B}=\dfrac{2 \pi}{8 \pi}=\dfrac{1}{4}[/tex]

Therefore, the period of the given function is ¹/₄.

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Julie spent 6 hours on the phone in 2 days. How many hours will she spend on the phone in a week?

Answers

answer: 21 hours
explanation: 6 divided by 2 = 3 3 hours per day = 21 hours a week, 3x7

20 points !!!
help me please !!

Answers

Minimum: 59

Lower Quartile: 67

Median: 76

Upper Quartile: 86

Maximum: 92

Interquartile Range: 19

how do you find the length of a rectangle if the diagonal is 10 inches long and the width is 8 inches

Answers

Answer:

Step-by-step explanation:

Use pythagorean theorem (a^2+b^2=c^2). The diagonal represents c and the width represents b or a. 8^2+b^2=10^2->64+b^2=100->b^2=36->b=6. So your height would be 6.

what is - 4x +7 > x -13

Answers

Answer:

[tex]\huge\boxed{\sf x < 4}[/tex]

Step-by-step explanation:

Given inequality:

-4x + 7 > x - 13

Subtract x to both sides

-4x - x + 7 > -13

-5x + 7 > -13

Subtract 7 to both sides

-5x > -13 - 7

-5x > -20

Divide -5 to both sides

x < -20/-5

x < 4

[tex]\rule[225]{225}{2}[/tex]

Answer:

[tex]x < \bf 4[/tex]

Step-by-step explanation:

[tex]-4x + 7 > x -13[/tex]

We have to make [tex]x[/tex] the subject of the equation:

Subtract [tex]x[/tex] from both sides:

[tex]-4x - x + 7 > -13[/tex]

⇒ [tex]-5x + 7 > -13[/tex]

• Now subtract 7 from both sides:

[tex]-5x > -13 - 7[/tex]

⇒ [tex]-5x > -20[/tex]

• Next divide both sides by -5, and remember that dividing an inequality by a negative number reverses the inequality symbol:

[tex]x < \frac{-20}{-5}[/tex]

⇒ [tex]x < \frac{20}{5}[/tex]

⇒ [tex]x < \bf 4[/tex]

#6 pls quick answer!!!







Answers

Answer:

ANSWER:  mix 120 ml of 35% acid solution with 60 ml of 65% acid                      solution to obtain 180 ml 0f 45% acid solution

Step-by-step explanation:

If x = number of ml of 35% acid solution and 60 = number of ml of 65% acid solution, then x + 60 = number of ml of the mixture.

Acid content of first ingredient + acid content of second ingredient = acid content of the mixture

So, 0.35x + 0.65(60) = 0.45(x + 60)

    0.35x + 39 = 0.45x + 27

                12 = 0.10x

               120 = x

Suppose we are given the following information.

Line 1 passes through (0, 6) and (6, 4).

Line 2 passes through (-1, -7) and (1, -1).

Are these lines parallel, perpendicular, or neither?

Group of answer choices

Answers

Since the product of the slope is -1, hence the lines are perpendicular

Parallel and Perpendicular lines

Two lines are known to be parallel if they have the same slope while if two lines are perpendicular if the product of the slope is -1

Given the coordinates of line 1 passing through (0, 6) and (6, 4), the slope is given as;

Slope = 4-6/6-0
Slope = -2/6
Slope = -1/3

Similarly for the coordinate points (-1, -7) and (1, -1).

Slope = -1+7/1+1
Slope of line 2 = 6/2

Slope = 3

Take the product of the slopes

Slope = -1/3 * 3
slope = -1

Since the product of the slope is -1, hence the lines are perpendicular

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Solve the inequality and enter your solution as an inequality comparing the variable to a number x+25>50

Answers

Let's solve your inequality step-by-step.

x+25>50

Step 1: Subtract 25 from both sides.

x+25−25>50−25

x>25

Answer:

x>25

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At the city museum, child admission is $6.20 and adult admission is $9.40. On Thursday, 163 tickets were sold for a total sales of $1221.80. How many adult
tickets were sold that day?

Answers

Systems of Equations

To form a system of equation from a word problem, we must recognize different variables to form different equations.

Solving the Question

Let a represent the number of child tickets.

Let b represent the number of adult tickets.

We're given:

1a = $6.201b = $9.40a and b in total is 163Total sales = $1221.80

Because we're given that a and b in total is 163, we can form the following equation:

[tex]a+b=163[/tex]

We're also given that the total sales made is $1221.80. Because we know that 1a = $6.20 and 1b = $9.40, we can also form the following equation:

[tex]6.2a+9.4b=1221.8[/tex]

Here are our two equations:

[tex]a+b=163[/tex]

[tex]6.2a+9.4b=1221.8[/tex]

Solving the System of Equations

We can solve using the method of elimination. Multiply both sides by 6.2 in the first equation:

[tex]6.2(a+b)=6.2(163)\\6.2a+6.2b=1010.6[/tex]

Subtract this new equation from the second equation to cancel out a:

[tex]\hspace{10}6.2a+9.4b=1221.8\\- 6.2a+6.2b=1010.6\\\rule{100}{0.5}\\3.2b=211.2[/tex]

Solve for b:

[tex]b=66[/tex]

Therefore, the number of adult tickets sold is 66.

Answer

66

Determine the size of the unknown angle to the nearest tenth of a degree.

tan Y : 0.2334

Also, two different questions down below.

Answers

Answer:

shown below

Step-by-step explanation:

1) tanY = 0.2334

Y = arctan(0.2334)

Y = 13.14 degrees

2) X = 12 / tan(40)

X = 14.3km

3) x = arctan(5/8)

x = 32°

Magda utilizó una cuadrícula de 1 cm de lado para dibujar la figura sombreada, usando triángulos
rectángulos.

Answers

The area of ​​the figure Magda shaded with side lengths of 1 and √2 centimeter is equal to 1.21 cm².

How to calculate the area of a triangle?

Mathematically, the area of a triangle can be calculated by using this formula:

Area = 1/2 × b × h

Where:

b represents the base area.h represents the height.

In order to calculate the area of ​​the figure Magda shaded with side lengths of 1 and √2 centimeter, we would determine the area of ​​each triangle as follows:

For triangle 1, we have:

Area = 1/2 × b × h

Area = 1/2 × 1 × 1

Area = 0.5 cm².

For triangle 2, we have:

Area = 1/2 × b × h

Area = 1/2 × √2 × 1

Area = 0.71 cm².

Total area = Area of triangle 1 + Area of triangle 2

Total area = 0.5 + 0.7

Total area = 1.21 cm².

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Complete Question:

Magda used a 1 cm square grid to draw the shaded figure, using right triangles. 1 cm 3 cm √2 cm 1 cm 1 cm what is the area of ​​the figure Magda shaded?​

sketch graphs of the following on the same plane using different colours y=2x-3;y=-3;x=-3;2x+3y-6=0​

Answers

The graph of the four linear equations is the one we can see below, such that:

Blue line is y = -3Green line is x = -3Orange line is y = 2x - 3Purple line is 2x + 3y - 6 = 0.

How to graph the linear equations?

Here we have the set of linear equations:

y = 2x - 3y = -3x = -32x + 2y - 6 = 0

We want to graph these 4 lines on the same coordinate axis.

The line:

y = -3

Is an horizontal line at y = -3

The line:

x = -3

Is a vertical line at x = -3.

And the other two are common linear equations that are graphed in the usual way, then the graph of all the linear equations is the one you can see below.

Where:

Blue line is y = -3Green line is x = -3Orange line is y = 2x - 3Purple line is 2x + 3y - 6 = 0.

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What equation represents a line that passes through points (-1,2) and (3,1)
4x - y = -6
X + 4y = 7
X - 4y = -9
4x + y = 2

Answers

Answer:

B.) x + 4y = 7

Step-by-step explanation:

(Step 1) ----------------------------------------------------------------------------------------------

To find the equation, we first need to find the slope using the point-slope form:

y₁ - y₂ = m(x₁ - x₂)

In this form, "m" represents the slope, "x₁" and "y₁" represent the values from the first point, and "x₂" and "y₂" represent the values from the second point.

Point 1: (-1, 2)                     Point 2: (3, 1)

x₁ = -1                                   x₂ = 3

y₁ = 2                                   y₂ = 1

y₁ - y₂ = m(x₁ - x₂)                                  <----- Point-slope form

2 - 1 = m(-1 - 3)                                      <----- Insert values

1 = m(-4)                                                <----- Subtract

-1/4 = m                                               <----- Divide both sides by -4

(Step 2) ---------------------------------------------------------------------------------------------

The given equations are in the slope-intercept form. The general structure looks like this:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. To find the y-intercept, you can plug the newfound slope and values from one point into the equation.

x = -1

y = 2

m = -1/4

y = mx + b                                              <----- Slope-intercept form

2 = (-1/4)(-1) + b                                       <----- Insert values

2 = 1/4 + b                                              <----- Multiply -1/4 and -1

8/4 = 1/4 + b                                           <----- Make common denominators

7/4 = b                                                    <----- Subtract both sides by 1/4

(Step 3) ---------------------------------------------------------------------------------------------

The equation in slope-intercept form is thus: y = -1/4x + 7/4.

While this equation is accurate, it seems that it must be slightly manipulated. Therefore, we need to alter this equation to look like one of the answer choices. For instance, we can multiply the entire equation by 4 to remove the denominator.

y = -1/4x + 7/4                                         <----- Equation

4y = -x + 7                                               <----- Multiply all terms by 4    

x + 4y = 7                                               <----- Add "x" to both sides

Resolver xfa... El taller trata de division de polinomios o algo asi

Answers

La altura del triangulo está dada por el polinomio:

p(x) = a + 4

¿Cual es la altura del triangulo?

Recordar que para un triangulo de base B y altura H, el area es

A = B*H/2

En este caso, sabemos que la base es B = (4*a^2 + 6)

Y el area es A = 2a^3 + 8a^2 +3a +12

Entoces la altura será un polinomio tal que:

P(a)*(4*a^2 + 6)/2 = 2a^3 + 8a^2 +3a +12

P(a)*(4*a^2 + 6) = 2*(2a^3 + 8a^2 +3a +12) = 4a^3 + 16a^2 + 6a + 24

Podemos ver que p(a) va a ser un polinomio de grado 1, entonces:

p(a) = (c*a + b)

Reemplazando eso:

(c*a + b)*(4*a^2 + 6) = 4a^3 + 16a^2 + 6a + 24

Expandiendo:

(4c)*a^3 + (6c)*a + (4b)*a^2 + 6*b = 4a^3 + 16a^2 + 6a + 24

Comparando terminos del mismo exponente, podemos ver que:

(4c) = 4

6c = 6

4b = 16

6b = 24

Resolviendo esas ecuaciones para c y b, podemos ver que:

b = 16/4 = 4

c = 4/4 = 1

Entonces la altura del triangulo está dada por el polinomio:

p(x) = a + 4

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20 PTS! Please Help!!!! Will Give Brainliest!! This is a Khan Academy Problem!!!
Find the approximate perimeter of pentagon ABCDE plotted below. A(0,7) B(6,0) C(3,-4) D(-3,-4) E(-6,0)

Answers

Using it's concept, the approximate perimeter of pentagon ABCDE is given as follows:

34.4 units.

What is the perimeter of a figure?

The perimeter of a figure is given by the sum of the lengths of it's outside dimensions.

In this problem, the vertices are in a coordinate-plane, hence the distances are found using the formula for the distance between two points.

What is the distance between two points?

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The length of segment AB is:

[tex]AB = \sqrt{(6 - 0)^2+(0 - 7)^2} = 9.2[/tex]

The length of segment BC is:

[tex]BC = \sqrt{(6 - 3)^2+(0 + 4)^2} = 5[/tex]

The length of segment CD is:

[tex]CD = \sqrt{(-3 -3)^2+(-4 + 4)^2} = 6[/tex]

The length of segment DE is:

[tex]DE = \sqrt{(-6 + 3)^2+(0 + 4)^2} = 5[/tex]

The length of segment EA is:

[tex]EA = \sqrt{(-6 +0)^2+(0 - 7)^2} = 9.2[/tex]

Hence the perimeter is:

P = AB + BC + CD + DE + EA = 9.2 + 5 + 6 + 5 + 9.2 = 34.4 units.

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Identify ER rounded to the nearest tenth. The Figure shows right triangle M E R with right angle E. The length of hypotenuse M R is equal to 37 units. Angle R measures 61 degrees.
Answers;
a) ER ≈ 66.7
b) ER ≈ 32.4
c) ER ≈ 17.9
d) ER ≈ 22.3
Please give an explanation! :)

Answers

The value of length ER rounded to the nearest tenth is 17.9 units (Option C)

Trigonometric ratios

The trigonometric ratios which has been proven as regarding right angle triangles are given below:

Sine θ = Opposite / Hypothenus

Cos θ = Adjacent / Hypothenus

Tan θ = Opposite / Adjacent

With above information in mind, we can easily determine the length of ER in the question. This is illustrated below:

How to determine the length of ER

From the question given above, which is summarized in the diagram (see attached photo) the following data were obtained:

Hypothenus (MR) = 37 unitsAngle R = 61 °Adjacent (ER) = ?

Since we looking for the Adjacent (ER), the best trig ratio to use is the Cos θ ratio. This can be obtained as illustrated below:

Cos θ = Adjacent / Hypothenus

Cos 61 = ER / 37

Cross multiply

ER = 37 × Cos 61

ER = 37 × 0.4848

ER = 17.9 units

Thus, the length of ER to the nearest tenth is 17.9 units

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Gwen and $660 per week and has 18% of this amount withheld for taxes Social Security and Medicare find amount withheld

Answers

660 * 0.18 = $118.80 withheld

A regular hexagon has an apothem of 14.7 inches and a perimeter of 101.8 inches. what is the area of the hexagon? square inches

Answers

Answer:

748.23 in^2.

Step-by-step explanation:

Area = 1/2 * apothem * perimeter

        = 1/2 * 14.7 * 101.8

        =  748.23 in^2.

Answer:

748.23

Step-by-step explanation:

What is the solution to the system of equations?
y = A system of equations. y equals StartFraction one-half EndFraction x minus 6. x equals negative 4.x – 6
x = –4

Answers

The solution to the system of equations y = 1/2x - 6, x = -4 is x = -4 and y = -8. (x, y) = (-4, -8)

Equation

There are different types of equation. Namely;

Linear equationQuadratic equationSimultaneous equation

y = 1/2x - 6

x = -4

Substitute x = -4 into

y = 1/2x - 6

y = 1/2(-4) - 6

= -4/2 - 6

= -2 - 6

y = -8

Therefore,

The solution to the system of equations y = 1/2x - 6, x = -4 is x = -4 and y = -8. (x, y) = (-4, -8)

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to make purple he must mix red and blue in ratio 5:3 if he uses 3.5 liters of red paint how much blue paint should he use

Answers

Answer:

2.1 litres

Step-by-step explanation:

the 5 part of the ratio refers to 3.5 litres of red paint

divide this amount by 5 to find the value of one part of the ratio

3.5 litres ÷ 5 = 0.7 litres ← value of 1 part of the ratio , then

3 parts = 3 × 0.7 litres = 2.1 litres ← amount of blue paint used

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