Use the given confidence, interval, to find the margin of the error and sample proportion (.644,.674)

The number of solutions to the system of equations is (c) one

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is represented by the graph

Next, we examine the graph of the system of equations

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the lines intersect at one point

Hence, the number of solutions is one

Read more about linear equations at

brainly.com/question/4074386

#SPJ1

Area of the plot = 193 sq.yd.  , Option B is the correct answer.

Area is the space occupied by a flat surface or an object .

It is measured in square units

It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.

It is given that

A developer buys an empty lot to build a small house.

area of the lot = ?

The figure is incomplete and the complete figure is attached with the answer.

To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure

Area of the first triangle = (1/2) * base * height

By Calculation

base = 17 unit and height = 10 unit

= (1/2) * 17 * 10

= 17*5

=85 sq.unit

Area of the second triangle = (1/2)* 9* 8

=36 sq. unit

Area of the rectangle = base * height

base = 9 unit and height = 7 unit

Area = 9*7= 63 sq.unit

Area of the last triangle = (1/2) * 2*9

= 9 unit

The area of the plot = 85+36+63+9

Area of the plot = 193 sq.yd.

Therefore , Option B is the correct answer.

To know more about Area

https://brainly.com/question/27683633

#SPJ1

Answer:

Step-by-step explanation:

Area of the plot = 193 sq.yd.  , Option B is the correct answer.

What is Area ?

Area is the space occupied by a flat surface or an object .

It is measured in square units

It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.

It is given that

A developer buys an empty lot to build a small house.

area of the lot = ?

The figure is incomplete and the complete figure is attached with the answer.

To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure

Area of the first triangle = (1/2) * base * height

By Calculation

base = 17 unit and height = 10 unit

= (1/2) * 17 * 10

= 17*5

=85 sq.unit

Area of the second triangle = (1/2)* 9* 8

=36 sq. unit

Area of the rectangle = base * height

base = 9 unit and height = 7 unit

Area = 9*7= 63 sq.unit

Area of the last triangle = (1/2) * 2*9

= 9 unit

The area of the plot = 85+36+63+9

Area of the plot = 193 sq.yd.

Therefore , Option B is the correct answer.

To know more about Area

brainly.com/question/27683633

#SPJ1

Answer:   -1.4

The opposite of -1.4 is 1.4; you flip from negative to positive.

Then taking the opposite of 1.4 gets us back to -1.4 again

Effectively the two opposites cancel out and nothing changes.

Answer:

-1.4

Step-by-step explanation:

because if it says the opposite then

it goes like this

opposite one time = positive 1.4

then do the opposite of a positive = -1.4

Answer:

oh shi sorry I wish I could help but I'm stupid

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

The choice that matches the graph of f(x) = 4(3)^x is graph (c)

From the question, we have the following parameters that can be used in our computation:

f(x) = 4(3)^x

Next, we plot the graph using a graphing calculator

see attachment for the graph

From the attached graph, we can see that

The graph that matches f(x) = 4(3)^x is graph (c)

Read more about exponential functions at

https://brainly.com/question/11464095

#SPJ1

The expression when evaluated is 9^(x - 2)

From the question, we have the following parameters that can be used in our computation:

(9^(x))/(9^(3))9^(5)

Remove the excess brackets

so, we have the following representation

(9^x)/(9^3) * 9^5

When the quotients are evaluated, we have

9^(x - 3) * 9^5

When the products are evaluated, we have

9^(x - 3 + 5)

Evaluate the sum

9^(x - 2)

HEnce, the solution is 9^(x - 2)

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

The area of a shape is calculated by calculating the amount of space on the shape

By definitinon, the area of a shape is the amount of space on the shape

using the above as a guide, we have the following:

There are several formulas to calculate area

The formula to use is dependent on the shape whose area is being calculated

This means that the area of trapezoid cannot be calculated using the area of parallelogram

Read more about area at

https://brainly.com/question/24487155

#SPJ1

The blanks that are missing in the sequence are -3 and 11

from the question, we have the following parameters that can be used in our computation:

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

Read more about sequence at

https://brainly.com/question/30499691

#SPJ1

Answer:

Datos: r= 24cm. g= 74 cm. ...

- La altura h.

- La generatriz.

- el radio. Que entre ellos forman un triangulo rectángulo siendo la generatriz la hipotenusa y el radio la base, entonces: ...

g²=r²+h² despejando la altura h se tiene que:

h=√g²-r² h= √ (74cm)² - (24 cm)²

es. un paso para que. puedas resolver

The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.

Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.

From the information given, we can set up the following equations:

Eugene's spending:

18h + 6g = $150

Jessica's spending:

7h + 16g = $113

We can now solve this system of equations to find the values of 'h' and 'g'.

Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:

36h + 12g = $300

21h + 48g = $339

Now, we can subtract the second equation from the first to eliminate 'h':

(36h + 12g) - (21h + 48g) = $300 - $339

36h - 21h + 12g - 48g = -$39

15h - 36g = -$39

Simplifying further, we have:

15h - 36g = -$39

Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.

Let's solve for 'h':

15h = 36g - $39

h = (36g - $39) / 15

Substituting this value of 'h' into Eugene's equation:

18[(36g - $39) / 15] + 6g = $150

(648g - $702) / 15 + 6g = $150

648g - $702 + 90g = $150 * 15

738g - $702 = $2250

738g = $2250 + $702

738g = $2952

g = $2952 / 738

g ≈ $4

Now, substituting the value of 'g' back into Eugene's equation:

18h + 6($4) = $150

18h + $24 = $150

18h = $150 - $24

18h = $126

h = $126 / 18

h ≈ $7

Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

For such more questions on Cost of Hosta & Geraniums

https://brainly.com/question/14324591

#SPJ8

Answer:

It would be three coconuts hope this helped

Step-by-step explanation:

Answer:

3*16

Step-by-step explanation:

r²≈4*4

4≈3.92

3≈3.14(π}

Answer: 30

Step-by-step explanation:

3 x 30 = 90

Hope this helps!!

Answer:

x = 30

Step-by-step explanation:

3x = 90

Divide both sides by 3.

x=  3/ 90

Divide 90 by 3 to get 30.

x=30

The distributive property states that we can multiply the number three by both the x and the 2 in an expression like 3(x + 2) to get 3x + 6.

A property is any quality that pertains to a particular set in mathematics.

To solve the issues in..., you'll need to have a solid grasp of these qualities. Using the formula 5 + 6 = 11, the identical problem is solved in this case. Several other methods to write "three times the variable x" include 3x, 3(x), and 3 x. If x = 2, then evaluate 5(2x - 3) using the distributive property.

The distributive property states that we can multiply the number three by both the x and the 2 in an expression like 3(x + 2) to get 3x + 6.

To learn more about distributive property refer to:

https://brainly.com/question/2807928

#SPJ1

The answer is B. Hope this helped.

Answer:

n = 34/13

Step-by-step explanation:

13 x 4 = n x 26

=> 68 = 26n

=> n = 68/26

=> n = 34/13

Therefore, n = 34/13

Hoped this helped.

\(GeniusUser\)

Answer: neither

Step-by-step explanation:

To get rid of the fractions, we pick a useful number and multiply both sides of the equation by that number. The number is useful if multiplying eliminates all fractions.

The dimension of the rectangle is 40meters by 20meters

The perimeter of a figure is the sum of all the external sides of the figure

The formula for calculating the perimeter of rectangle = 2(l+w)

If the length is 20 meters longer than the width, then;

l = 20 + w

Substitute

120 = 2(20+2w)

60 = 20 + 2w

30 = 10 + w

w = 20 meters

Since l = 20  + w

l = 20 + 20

l = 40 meters

Hence the dimension of the rectangle is 40meters by 20meters

Learn more on perimeter of figure here: https://brainly.com/question/22447290

Given the equation:

-5+x=10

To solve the equation, the first step is to add 5 to both sides of the equation:

-5

Answer: 3/2

Step-by-step explanation:

we have

convert mixed number to an improper fraction

5 1/7=5+1/7=36/7

substitute

(36/7)/4=36/(7*4)=9/7

answer is 9/7

convert to mixed number

9/7=7/7+2/7=1+2/7=

The ratios will be equal if the theorem that the product of the extremes equals the product means follows.

Let us understand the equality of ratios through example. The example ratio will be -

7:10 = 21:30

In this ratio, 7 and 30 are first and last numbers and hence they are extremes. The number 10 and 21 are in middle and hence considered mean. Now, we will perform multiplication to if the ratios are equal or not.

Product of extremes = 7 × 30

Extremes product = 210

Product of means = 21 × 10

Means product = 210

Since the products are equal, the ratios are also equal.

Learn more about ratio and proportion -

https://brainly.com/question/12024093

#SPJ4

The complete question is -

Are the following ratios equal? write yes or no. use the theroem that the product of the extremes equals the product means.

Ratio = 7:10 and 21:30.

Answer:

igcwochcd chocho dhvohov dochvo

There is no enough evidence to assert that the standard deviation of the process (in general) is over 2 mg

To determine whether the standard deviation of the process (in general) is over 2 mg to a 1% level of significance, you can perform a hypothesis test.

In this case, the null hypothesis is that the standard deviation of the process is equal to or less than 2 mg, and the alternative hypothesis is that the standard deviation of the process is greater than 2 mg.

To perform the hypothesis test, you can first calculate the test statistic. That is:

test statistic = (sample mean - hypothesized mean) / (standard error of the mean)

test statistic = (20.2 - 20) / (2.4 / √(13))

                    = 0.2 / 0.67

                    = 0.3

Next, you can look up the critical value for the test statistic in a table of critical values for a one-tailed test with a 1% level of significance and 12 degrees of freedom (df = 13 - 1).

The critical value for the test statistic is 2.6. Since the test statistic (0.3) is less than the critical value (2.6), you cannot reject the null hypothesis.

This means that you do not have enough evidence to assert that the standard deviation of the process (in general) is over 2 mg to a 1% level of significance.

Learn more about test statistic on:

https://brainly.com/question/4621112

#SPJ1

Answer:

When r=0.2, m=0.016g

When m=0.25, r=0.5cm

When r=0.7, m=0.686g

When m=11.664, r=1.8cm

Step-by-step explanation:

General outline of steps for proportionality problems:

There are two main types of proportionality, "direct" and "inverse", and then there are modifications that can be made to them.  Several examples are listed below:

Direct proportionality examples

Inverse proportionality examples

In each case, irregardless of which type, the two quantities are related with some extra letter "k", called the proportionality constant.  Either way, the proportionality constant "k" is always in the numerator, and the quantity is either multiplied to or divided from the proportionality constant "k".

Notice that for direct proportionality, in each case, the equation always ends up as "k times" the quantity.

On the other hand, notice that for inverse proportionality, in each case, the equation always ends up as "k divided by" the quantity.

The problem says "... the mass, m g, of a sphere is directly proportional to the cube of its radius, r cm...", so our equation will look like \(m=kr^3\).

To find the proportionality constant for our situation, one must know a full input/output pair.  Notice that in the 4th column, \(r=1.5\) and \(m=6.75\).

Substituting these values into our equation, we can find "k".

\((6.75)=k(1.5)^3\)

\(6.75=k*3.375\)

\(\dfrac{6.75}{3.375}= \dfrac{k*3.375}{3.375}\)

\(2=k\)

So, the proportionality constant for this situation is 2, and our equation for this situation becomes: \(m=2r^3\)

Now that we know the proportionality constant for this situation, if we have either the input OR the output, we can solve for the other unknown.

r=0.2

\(m=2r^3\)

\(m=2(0.2)^3\)

\(m=2(0.008)\)

\(m=0.016\)

Recall the the question said that the mass, m, was measured in grams, and the radius, r, was measured in centimeters.  So, if the radius is 0.2cm, then the mass of the sphere would be 0.016g.

m=0.25

\(m=2r^3\)

\((0.25)=2r^3\)

\(\dfrac{0.25}{2}=\dfrac{2r^3}{2}\)

\(0.125=r^3\)

\(\sqrt[3]{0.125} = \sqrt[3]{r^3}\)

\(0.5=r\)

So, if the mass of the sphere were 0.25g, the radius of the sphere would be 0.5cm.

r=0.7

\(m=2r^3\)

\(m=2(0.7)^3\)

\(m=2(0.343)\)

\(m=0.686\)

So, if the radius is 0.7cm, then the mass of the sphere would be 0.686g.

m=11.664

\(m=2r^3\)

\((11.664)=2r^3\)

\(\dfrac{11.664}{2}=\dfrac{2r^3}{2}\)

\(5.832=r^3\)

\(\sqrt[3]{5.832} = \sqrt[3]{r^3}\)

\(1.8=r\)

So, if the mass of the sphere were 11.664g, the radius of the sphere would be 1.8cm.

The equation of the line that passes through the point (-3, 7) and has a slope of -5/3 is y - 7 = (-5/3)(x + 3).

We are given the point (-3, 7) and the slope of the line as -5/3.The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.

To obtain the equation of the line, we need to substitute the values of slope and point in the slope-intercept form and solve for b.(7) = (-5/3)(-3) + b 21/3 = b.

Now we have the value of b, and we can substitute the values of m and b in the slope-intercept form.y = (-5/3)x + 21/3 is the equation of the line in slope-intercept form.

To obtain the equation in the standard form Ax + By = C, we multiply each term by 3.3y = -5x + 7Add 5x to both sides5x + 3y = 7.

This is the equation of the line in standard form.

For more question on equation

https://brainly.com/question/17145398

#SPJ8

Answer:

Before a variable there is no coefficient.

There is an invisible 1 infront bc there is no real number. so the 1 appears.

Answer:

2√29

Step-by-step explanation:

Answer:

(-5-3/2,3+1/2)

(-13/2,7/2)

option A is correct

Step-by-step explanation:

Hope it helps

Answer:

v - w =

-5 - 3/2 = -13/2

and ;

3-(-1/2)

3+1/2= 7/2

therefore we get the answer

{ -13/2 , 7/2 }

option A is answer