Will Give Brainliest Please Help!

a) The number of families that were surveyed is given as follows: 17.

b) The percentage of families with exactly one children is given as follows: 29.4%.

A bar graph shows the output considering a given input.

In this problem, the input is the number of children, while the output is the number of families that have the given number of children.

Hence:

Hence, for item a, the total number of families is given as follows:

4 + 5 + 5 + 2 + 1 = 17.

Out of the 17 families, 5 have exactly one children, hence the percentage is given as follows:

5/17 x 100% = 29.4%.

More can be learned about bar graphs at brainly.com/question/28535024

#SPJ1

The first function in terms of the second is tan(θ) = √[-1 + 1/cos²(θ)]

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

First = tan(θ)

Second = cos(θ)

The basis trigonometry identity is

sin²(θ) + cos²(θ) = 1

Divide through the equation by cos²(θ)

So, we have

tan²(θ) + 1 = 1/cos²(θ)

Subtract 1 from both sides

tan²(θ) = - 1 + 1/cos²(θ)

Take the square root of both sides

tan(θ) = √[-1 + 1/cos²(θ)]

Hence, the first in terms of the second is tan(θ) = √[-1 + 1/cos²(θ)]

Read more about trigonometry function at

https://brainly.com/question/24349828

#SPJ1

The equation of the functions represented on the graph are (b)

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

The graph

On the graph, we have the following intervals:

When the intervals are represented as inequalities, we have the following:

Interval 1: x ≤ 1

Interval 2: x > 1

This means that the intervals of the graphs are x ≤ 1 and x > 1

From the list of options, we have the graph to be option (b

Read more about piecewise functions at

brainly.com/question/18499561

#SPJ1

The system has an infinite number of solutions, but the only solution is (a, b) = (0, 0).

The given system of equations can be solved using the substitution method. We can begin by solving the first equation,[tex]a^2 + b^2[/tex], for either a or b. Let's solve for a:

[tex]a^2 + b^2 = 0[/tex]

[tex]a^2 + b^2 = 0[/tex]

[tex]a^2 = -b^2[/tex]

[tex]a = \pm\sqrt(-b^2)[/tex]

We can substitute this expression for a into the second equation, [tex]3a^2 - 2ab - b^2 = 0[/tex], and simplify:

[tex]3(\pm\sqrt(-b^2))^2 - 2(\pm\sqrt(-b^2))b - b^2 = 0[/tex]

[tex]3b^2 - 2b^2 - b^2 = 0[/tex]

0 = 0

Since 0 = 0, this means that the system of equations has an infinite number of solutions. In other words, any values of a and b that satisfy the equation [tex]a^2 + b^2 = 0[/tex] will also satisfy the equation [tex]3a^2 - 2ab - b^2 = 0[/tex]

However, the equation [tex]a^2 + b^2 = 0[/tex] only has a single solution, which is a = b = 0. Therefore, the solution to the system of equations is (a, b) = (0, 0).

Learn more about substitution here:

brainly.com/question/22340165

#SPJ1

Answer:

[tex]h(x) = 2 {x}^{2} + 5x - 3[/tex]

[tex]h(x) = (2x - 1)(x + 3)[/tex]

-The component functions must both be linear.

-The component functions must have y-intercepts with different signs.

The total area of the prism is (a) 120 + 20k in terms of k

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

The pentagonal prism

The total area of the prism is calculated as

Area = 2 * Pentagon + 5 * Rectangle

Given that

P = 20 and

Apothem, a = k

We have

Pentagon = 1/2 * 20 * k

Pentagon = 10k

Next, we have

Rectangle = 6 * P/5

So, we have

Rectangle = 6 * 20/5

Rectangle = 24

Recall that

Area = 2 * Pentagon + 5 * Rectangle

So, we have

Area = 2 * 10k + 5 * 24

Evaluate

Area = 20k + 120

Hence, the total area of the prism is (a) 120 + 20k

Read more about area at

https://brainly.com/question/26403859

#SPJ1

To find the total area of a prism, we need to add up the area of all its faces. The given prism has a rectangular base with length 20 inches and width 6 inches. The area of the base is therefore 20 x 6 = 120 square inches.

The prism also has two congruent rectangular faces, each with a length of 20 inches and a height of K inches. The area of each face is therefore 20K square inches. Since there are two such faces, their total area is 2 x 20K = 40K square inches.
Finally, the prism has two more rectangular faces, each with a length of 6 inches and a height of K inches. The area of each face is therefore 6K square inches. Since there are two such faces, their total area is 2 x 6K = 12K square inches.
Adding up all the face areas, we get:
120 + 40K + 12K = 120 + 52K
Therefore, the total area (in terms of K) of the prism is 120 + 52K square inches.

Learn more about prism here:

https://brainly.com/question/12649592

#SPJ11

The probability P(x < 4) will be 0.273. The correct option is A.

Probability is a branch of mathematics that deals with the measurement and analysis of uncertainty. In other words, probability is the measure of the likelihood or chance that a particular event will occur.

Since X is a continuous uniform distribution between 1 and 12, the probability density function (PDF) is given by:

f(x) = 1/11 for 1 ≤ x ≤ 12

= 0 otherwise

The probability P(X < 4) can be calculated as follows:

P(X < 4) = ∫[from 1 to 4] f(x) dx

= ∫[from 1 to 4] 1/11 dx

= [1/11 * x] (from 1 to 4)

= (4/11) - (1/11)

= 3/11

Rounding this to three decimal places, we get:

P(X < 4) ≈ 0.273

Therefore, the answer is 0.273.

To know more about probability follow

https://brainly.com/question/27893762

#SPJ1

The value of x which could replace the missing value in the table so that y is not a function of x is; 7.

It follows from the task content that the value of x which could make y not a function of is required to be determined.

Recall that a function is a special kind of relation in which case each value of x is assigned one value of y.

On this note, if we assign 7 as the missing value of x, then y is not a function of x as u has now been assigned more than 1 output, y values.

Read more on functions;

https://brainly.com/question/11624077

#SPJ1

Note that from the coordinates of the above triangle, we can state that the triangle is an Isoceles triangle.

We can also state emphatically that it is NOT a right triangle.

a) we now that the triangle is a scalene triangle because all three sides have unequal lengths.

This can be determined with the use of distance formula.

d = √((x2 - x1)² + (y2 - y1)²)

PQ = √((2-4)² + (7-1)²)

= 6.32455532034

PQ ≈ 6. 33

Using the same steps above,

QR = 6.33

Using the same steps

RP = 5.66

From the above as well as is show on the attached graph, we can see that the triangle has two equal sides hence an Isosceles triangle.


b) We know for a fact using the graphical method that the above triangle is NOT a right triangle.

Learn more about triangles:
https://brainly.com/question/2773823
#SPJ1

The distance from the bottom of the building to the point where the ladder is touching the building for triangle 2, obtained using trigonometric ratio of tangent is 12 feet. The correct option is therefore;

12 feet

The trigonometric ratios are the value relationship between an interior angle of a right triangle and two of the sides of the triangle.

The right triangles are similar, therefore, the tangent of the angle the ladder makes with the ground are the same, which indicates;

tan(θ) = (Length of the side facing the angle θ) ÷ (Length of the side adjacent to the angle θ)

The side facing the angle is the distance from the bottom to the point where the ladder touches the building.

The adjacent to the angle is the horizontal distance from the bottom to the ladder to the building.

Therefore; tan(θ) = 18/12 = x/8

Where x = The distance from the bottom of the building to the point the ladder touches the building for triangle 2

18/12 = x/8

x = 18/12 × 8 = 12

The distance, x = 12 feet

Learn more on the tangent of an angle here: https://brainly.com/question/13952108

#SPJ1

Answer:

12?

Step-by-step explanation:

I'm not too sure! I am in the middle of taking the test right now.

Answer:

A≈201.06cm²

Step-by-step explanation:

A=4πr2

d=2r

Solving forA

A=πd2=π·82≈201.06193cm²

The height of the can is approximately 23.33 cm.

We have,

The formula for the surface area of a cylinder.

S = 2πr² + 2πrh

where S is the surface area, r is the radius, h is the height, and π is pi (approximately 3.14).

In this case, we know that the diameter of the can is 6 cm, which means that the radius is half of that or 3 cm.

We also know that the surface area is 140 square centimeters.

So,

140 = 2π(3²) + 2π(3)(h)

Simplifying:

140 = 18π + 6πh

Dividing both sides by 6π:

23.333... = h

Rounding to the nearest hundredth:

h ≈ 23.33 cm

Therefore,

The height of the can is approximately 23.33 cm.

Learn more about cylinder here:

https://brainly.com/question/15891031

#SPJ1

The resolution of the given force applied to the shovel is: A vertical force of 592 NA horizontal force of 215.47 N

The components of a force represent the combined vertical and horizontal forces that combine to make the resultant force. Components are two vectors that add up to the given vector which are perpendicular to each other.

Now, when we apply a force F to an object at an angle θ, it can be said that the resolution of the forces is:

In the horizontal direction: F_x = F * cos θIn the vertical direction: F_y = F * sin θTyri pushes a shovel into the ground with a force of 630 newtons at an angle of 70° with the ground.

Thus, the diagram that shows the resolution of the forces is:

A vertical line showing a force of 630 * sin 70 = 592 N

A horizontal line showing a force of 630 * cos 70 = 215.47 N

Read more about Components of Force at: https://brainly.com/question/8106035

#SPJ1

The trigonometric value equation is solved and sin ( 0 )° + cos ( 0 )° = 1

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

sin ( 0 )° - cos ( 0 )° = 1

From the trigonometric relation , we get

sin 0 = 0

cos 0 = 1

So , the equation is

sin ( 0 )° + cos ( 0 )° = 1

Hence , the equation is solved

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ1

Answer:

10

Step-by-step explanation:

the answer is in the question

The publisher must produce and sell approximately 4,857 books to break even.

Let's denote the number of books produced and sold as "x."

The total fixed cost is given as $51,000.

The variable cost per book is $1.50, and since x books are produced and sold, the total variable cost would be 1.50x.

The selling price per book is $12, and since x books are sold, the total revenue would be 12x.

To break even, the total revenue must equal the total cost:

Total Revenue = Total Cost

12x = 51,000 + 1.50x

Subtracting 1.50x from both sides:

12x - 1.50x = 51,000

10.50x = 51,000

Dividing both sides by 10.50:

x = 51,000 / 10.50

x ≈ 4,857

Therefore, the publisher must produce and sell approximately 4,857 books to break even.

Learn more about the break-even point here:

https://brainly.com/question/15413920

#SPJ1

The operations between two functions:

Case 1: f(x) + g(x) = 2 - x - x²

Case 2: g(x) - f(x) = x² - x

Case 3: g(x) · f(x) = (1 - x) · (1 - x²) = 1 - x - x² + x³

Case 4: f(x) - g(x) = x - x²

In this problem we need to perform operations between two functions, one operator for each case. There are three operations used in this problem:

Addition

(f + g) (x) = f(x) + g(x)

Subtraction

(f - g) (x) = f(x) - g(x)

Multiplication

(f · g) (x) = f(x) · g(x)

If we know that f(x) = 1 - x² and g(x) = 1 - x, then the operations between functions are:

Case 1

f(x) + g(x) = 2 - x - x²

Case 2

g(x) - f(x) = x² - x

Case 3

g(x) · f(x) = (1 - x) · (1 - x²) = 1 - x - x² + x³

Case 4
f(x) - g(x) = x - x²

To learn more on operations between functions: https://brainly.com/question/31207478

#SPJ1

The error E = ± 4.04 %

Sample data = ( p ).

success p = success percentage = 40 %

confidence interval CI = 98%

sample size n = 800

margin of error E:

The margin of error "E" for estimation of population proportion ( p ) is given by:

E = z - critical √(p(1-p)/n)

P ( Z < Z-critical ) = a/

a = 1 - CI

P ( Z < Z-critical ) = (1 - 0.98) / 2

P ( Z < Z-critical ) = 0.01

Z-critical = 2.33

The error E = ± 4.04 %

Thus, the correct answer is E=± 4.04 %

Learn more about margin of error:

brainly.com/question/13031441

#SPJ1

The probability the point will be in the region labeled A is 2/15 if  point is selected at random inside the given figure.

Given that a point is selected at random from inside the given figure.

We are to find the probability that the point will be in the region labeled B.

From the figure, we note that the regions A, B and D are rectangles and the region C is a square.

The areas of all the regions are calculated as follows:

Area of region A is 5×(3+4) =35 sq in

Area of region B is 3×4  = 12 in

Area of region C is 4² = 16 sq in

Area of region D is 3×(4+5)= 27 sq. in

Therefore, the probability that the randomly chosen point will lie in the region B is given by P

P = 12/35+12+16+27

=12/90

=2/15

Hence,  the probability the point will be in the region labeled A is 2/15

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

The statements that will be true about parallelogram ABCD are: A, B, D, and E.

Properties of a Parallelogram -

Diagonals of a parallelogram bisect each other into congruent segments.

Opposite angles and sides of a parallelogram are always congruent.

Alternate interior angles are always congruent in measure.

Thus, the following would be true of parallelogram ABCD:

AP ≅ CP (congruent segment's of a bisected diagonal)

BC ≅ AD (congruent opposite sides)

∠CAD ≅ ∠ACB (congruent angles)

∠BPC ≅ ∠APD (congruent angles)

Therefore, the statements that will be true about parallelogram ABCD are: A, B, D, and E.

Learn more about parallelogram on:

brainly.com/question/3050890

#SPJ1

The procedure step that the student could follow to accomplish the goal of increasing the force of the electromagnet would be C. Add more batteries in series at location 3.

Adding batteries in a series has the effect of increasing the electromagnet's force by augmenting the voltage applied to the wire coil.

The intensity of the magnetic field produced by an electromagnet corresponds directly to the magnitude of current coursing through the wire coil and the number of wire coils present in the magnet respectively. Meanwhile, the amount of current that travels through said coil is intrinsically related to the resistance of the coil itself and the applied voltage across it.

Find out more on electromagnetic force at https://brainly.com/question/19001778

#SPJ1

The probability that a student takes a history class given that the student is taking a science class is 0.59 to the nearest hundredth.

The probability that a student takes a history class given that the student is taking a science class is a conditional probability.

Assuming;

P(H) = Probability of taking a history class

P(S) = Probability of taking a science class

P(H ∩ S) = Probability of taking both a history class and a science class

Given data:

P(H ∩ S) = 0.48

P(S) = 0.82

Solving for P(H | S) using the formula for conditional probability:

P(H | S) = P(H ∩ S) / P(S)

P(H | S) = 0.48 / 0.82

P(H | S) ≈ 0.59

Learn more about probability at: https://brainly.com/question/13604758

#SPJ1

A. The greatest number of packages that can fit the truck is 24000

B. The volume of the part that is filled is 375 cubic feet

Given that

Dimensions = 8 ft by 6 1/4 ft by 7 1/2 ft

Also, we have

Package = 1/4 foot cube

So, we have

Number of packages = (8 * 6 1/4 * 7 1/2)/(1/4 * 1/4 * 1/4)

Evaluate

Number of packages = 24000

This means that the greatest number of packages is 24000

Recall that

Dimensions = 8 ft by 6 1/4 ft by 7 1/2 ft

So, we have

Volume = (8 * 6 1/4 * 7 1/2)

Evaluate

Volume = 375

Hence, the volume is 375 cubic feet

Read more about volume at

https://brainly.com/question/463363

#SPJ1

Answer:

To generate a linear function model using average rates of change, we need to have two points on the line. Let's suppose we have two points (x1, y1) and (x2, y2) on the line, where x2 > x1. Then the slope of the line, m, can be calculated as:m = (y2 - y1) / (x2 - x1)This represents the average rate of change of y with respect to x between the two points.Once we have the slope, we can use the point-slope form of the equation of a line to write the equation of the line:y - y1 = m(x - x1)where (x1, y1) is one of the points on the line.To simplify this equation, we can rearrange it to slope-intercept form, y = mx + b, where b is the y-intercept. We can solve for b by plugging in the coordinates of one of the points on the line:y1 = mx1 + bb = y1 - mx1Once we have m and b, we can write the equation of the line in slope-intercept form:y = mx + bHere's an example: Suppose we have the two points (2, 5) and (4, 9). The slope of the line between these two points is:m = (y2 - y1) / (x2 - x1) = (9 - 5) / (4 - 2) = 2Using point-slope form, we can write the equation of the line as:y - 5 = 2(x - 2)Simplifying, we get:y = 2x + 1So the linear function model generated using average rates of change is y = 2x + 1.

Step-by-step explanation:

Answer:

C) F(n) = 10n-1

Step-by-step explanation:

C) F(n) = 10n-1

Try a few points

F(n) = 10n-1

= 10(20) - 1

= 200-1

= 199 >>> which matches the table

F(n) = 10n-1

= 10(5) - 1

= 50-1

= 49 >>> which matches the table

F(n) = 10n-1

= 10(1) - 1

= 10-1

= 9 >>> which matches the table

Answer:

C. 3/20 of a meter

Step-by-step explanation:

Step 1: To find out how much ribbon Carl has left, we need to subtract the length of ribbon used from the total length of the ribbon.

Step 2:  To add the lengths of the ribbon used, we need to find a common denominator for the fractions used. The least common multiple of 5 and 4 is 20, so we can convert both fractions to twentieths.

Step 3: 2/5 of a meter is equivalent to 8/20 of a meter, and 1/4 of a meter is equivalent to 5/20 of a meter.

Step 4:  To add the lengths of ribbon used, we add the two fractions: 8/20 + 5/20 = 13/20.

Step 5:  To find the length of ribbon Carl has left, we subtract the fraction of the ribbon used from the total length of the ribbon: 4/5 - 13/20 = 16/20 - 13/20 = 3/20.

Step 6: Therefore, Carl has 3/20 of a meter of ribbon left.

Answer:

Option : A

Step-by-step explanation:

To find the x-coordinate of the solution to the system of equations, we need to solve the system by eliminating either x or y. Let's eliminate y by multiplying the first equation by 3 and the second equation by 1:

Equation 1: 2x + y = -4 (multiply by 3)

Equation 2: 5x + 3y = -6 (multiply by 1)

Multiplying equation 1 by 3 gives us:

6x + 3y = -12

Multiplying equation 2 by 1 gives us:

5x + 3y = -6

Now we can subtract equation 2 from equation 1 to eliminate y:

(6x + 3y) - (5x + 3y) = -12 - (-6)

6x + 3y - 5x - 3y = -12 + 6

x = -6

Therefore, the x-coordinate of the solution to the system of equations is x = -6.

The correct option is: Ox=-6.[tex][/tex]

To find the best prediction of the cost of the groceries nine years after the beginning of the study, we need to use the given data to find the values of a and b in the function C=a(b)x. So, the best prediction of the cost of the groceries nine years after the beginning of the study is $53.34.

To do this, we can use the first data point where x = 0:
30 = a(b)^0

This simplifies to:  

30 = a
So, we know that a = 30.

Next, we can use any other data point to solve for b. Let's use the second data point where x = 1:
32.10 = 30(b)^1

This simplifies to:
32.10 = 30b
b = 1.07
Now we can use the function C = 30(1.07)^x to find the best prediction of the cost of the groceries nine years after the beginning of the study:
C = 30(1.07)^9
C ≈ $53.34

Therefore, the best prediction of the cost of the groceries nine years after the beginning of the study is $53.34.

For more questions on: prediction

https://brainly.com/question/30686224

#SPJ11

The features of the quadratic function are given as follows:

The zero is the value of x for which the function touches or crosses the x-axis, hence it is of:

x = -2.

As the graph only touches the x-axis, the zero has an even multiplicity of 2.

The vertex is the turning point of the graph of the quadratic function, hence the coordinates are given as follows:

(-2,0).

Meaning that:

More can be learned about quadratic functions at https://brainly.com/question/31895757

#SPJ1

Answer:

We want to test the null hypothesis that the proportion of children aged 8-12 who have cell phones is 0.58, against the alternative hypothesis that the proportion is less than 0.58.

The sample proportion is:

p = 460/822 = 0.559

The sample size is n = 822.

Under the null hypothesis, the test statistic follows a standard normal distribution. The test statistic is:

z = (p - P0)/sqrt(P0(1 - P0)/n)

where P0 is the hypothesized proportion under the null hypothesis.

Substituting the values we obtained, we get:

z = (0.559 - 0.58)/sqrt(0.58(1 - 0.58)/822) = -1.691

The critical value for a one-tailed test with a significance level of 0.10 and 821 degrees of freedom is -1.282. Since the test statistic (-1.691) is less than the critical value (-1.282), we reject the null hypothesis.

Therefore, we can conclude that there is sufficient evidence to support the claim that less than 58% of children aged 8-12 have cell phones.

Hope that is what you are looking for :).