Could someone help me with this problem?

======================================================

Explanation:

We're conducting a one proportion Z test.

The hypothesized population proportion is p = 0.53, which is not to be confused with the p-value (unfortunately statistics textbooks seem to overuse the letter 'p'). Luckily this problem is not asking for the p-value.

The sample population proportion is

phat = x/n = 41/79 = 0.518987 approximately

The standard error (SE) is

SE = sqrt(p*(1-p)/n)

SE = sqrt(0.53*(1-0.53)/79)

SE = 0.056153 approximately

Making the test statistic to be

z = (phat - p)/(SE)

z = (0.518987 - 0.53)/0.056153

z = -0.19612487311452

z = -0.196

Which is approximate and rounded to 3 decimal places.

An articulated ladder should be utilized in a stepladder design for working on stairs. This structure is especially built for stairway safety and stability, with movable legs that can be placed to different heights to suit uneven stairs and give a level area for standing.

The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. The area of a planar figure is the space contained by its border. The number of unit squares that cover the surface of a closed form is the figure's area. The area is the region defined by an object's form.

To know more about area,

https://brainly.com/question/30106292

#SPJ4

Answer:

See explanation

Step-by-step explanation:

3(x + 4) + 2 = 2 + 5(x – 4)

Step 1: distributive property

3(x + 4) + 2 = 2 + 5(x – 4)

3x + 12 + 2 = 2 + 5x - 20

Step 2: collect like terms

3x + 12 + 2 = 2 + 5x - 20

3x + 14 = 5x - 18

Step 3: Addition property of equality

3x + 14 = 5x - 18

3x + 14 + 18 = 5x - 18 + 18

3x + 32 = 5x

Step 4: subtraction property of equality

3x + 32 - 3x = 5x - 3x

32 = 2x

Step 5: division property of equality

32 = 2x

32/2 = 2x/2

16 = x

x = 16

The number which is absent in the first 31 digits of pi = 0

We know that a number pi is nothing but the ratio of the circumference of a circle to its diameter.

It is represented by a symbol 'π'

pi is an irrational number. This means that it is not equal to the ratio of any two whole numbers.

Its digits do not repeat.

An approximation 3.14 or 22/7 is often used for everyday calculations.

To 31 decimal places, the value of pi is 3.1415926535897932384626433832795

The numbers present in the first 31 digits of pi are:

1, 2, 3, 4, 5, 6, 7, 8, 9

Only '0' is not present.

Therefore, the number which is absent in the first 31 digits of pi = 0

Learn more about pi here:

https://brainly.com/question/457655

#SPJ4

To create a square with 50px sides, we need to draw four lines that are each 50px long and perpendicular to one another.

A square is a quadrilateral (a four-sided shape) with four equal sides and four equal angles of 90 degrees each. To create a square with 50px sides, we need to follow a few steps.

Step 1: Draw a line that is 50px long using a ruler or any other measuring tool.

Step 2: At the end of the line, draw a second line that is also 50px long and perpendicular to the first line. This will form the first side of the square.

Step 3: From the end of the second line, draw a third line that is also 50px long and perpendicular to the second line. This will form the second side of the square.

Step 4: Finally, draw a fourth line that is 50px long and perpendicular to the third line, connecting back to the starting point of the first line. This will form the remaining two sides of the square.

By following these steps, you have successfully created a square with 50px sides.

In summary, a square is a four-sided shape with four equal sides and angles of 90 degrees each. The resulting shape will be a square with 50px sides.

To know more about square here.

https://brainly.com/question/14198272

#SPJ4

The probability of both representatives being girls is 39/158, or approximately 0.247.

To find the probability of both representatives being girls, we first need to find the probability of selecting a girl as the first representative, and then the probability of selecting another girl as the second representative, given that the first one was a girl.

The probability of selecting a girl as the first representative is 40/80, or 1/2, since there are 40 girls in the group of 80 students.

Once a girl has been chosen as the first representative, there will be 39 girls left in the group of 79 students (since one student has already been chosen), so the probability of selecting another girl as the second representative is 39/79.

To find the probability of both events occurring (selecting a girl as the first representative and then selecting another girl as the second representative), we multiply the probabilities together:

1/2 x 39/79 = 39/158

Therefore, the probability is 39/158, or approximately 0.247.

More on probability: https://brainly.com/question/11234923

#SPJ11

Answer: C= 40.25 - 0.05x

Step-by-step explanation:

C is the credit left

We know that the original is 40.25, so we put it as the beginning number.

Each minute costs $0.05x

where x is each minute

, so the equation is C= 40.25 - 0.05x

Answer:

89.67

Step-by-step explanation:

Maybe this answer i don’t know not 100% sure

1. If a triangle represents one-sixth, then a rhombus is 1/3.

2. If a hexagon represents 2, then a trapezoid is 1/3.

3. If a trapezoid + a triangle = 1, then a rhombus is 1/2

4. If a rhombus + a triangle = 1, then a hexagon is 3.

5. If a hexagon represents 2, then a rhombus is 1.

1. If a triangle represents one-sixth, then a rhombus is 1/3. This is because a rhombus has twice the number of triangles as a triangle, so a rhombus represents two-sixths, which simplifies to 1/3.

2. If a hexagon represents 2, then a trapezoid is 1/3. This is because a hexagon has three pairs of parallel sides, and a trapezoid is a four-sided figure with one pair of parallel sides. Therefore, a trapezoid has half the number of parallel sides as a hexagon, so it represents half of 2, which is 1, and when divided by its number of sides, we get 1/3.

3. If a trapezoid + a triangle = 1, then a rhombus is 1/2. This is because a rhombus can be divided into two triangles, so a rhombus represents two-sixths, which simplifies to 1/3. Therefore, a trapezoid represents 1 - 1/3 = 2/3. Since a rhombus has twice the number of sides as a trapezoid, a rhombus represents twice 2/3, which is 4/3, and simplifies to 1/2.

4. If a rhombus + a triangle = 1, then a hexagon is 3. This is because a rhombus can be divided into two triangles, so a rhombus represents two-sixths, which simplifies to 1/3. Therefore, a triangle represents 1 - 1/3 = 2/3. Since a hexagon has six sides, a hexagon represents six times 2/3, which is 4.

5. If a hexagon represents 2, then a rhombus is 1. This is because a rhombus can be divided into two congruent triangles, so a rhombus represents twice the area of a triangle. Since a hexagon can be divided into six triangles, a hexagon represents six times the area of a triangle, which is 2. Therefore, a rhombus represents 2 divided by 6, which simplifies to 1/3. However, since a rhombus has twice the number of sides as a triangle, a rhombus represents twice 1/3, which is 2/3, and simplifies to 1.

Learn more about rhombus:

brainly.com/question/12665650

#SPJ4

the answer: 2/10 or 1/5

Answer:

f(-1)= 1 and 9

f(0)= 8 and 16

f(2)= 21 and 30

Step-by-step explanation:

Answer: He rides his bike for 6 hours.

Step-by-step explanation: If you take 24 and divided by 1/6 (6), you will get 4 which means he was riding his bike for 6 hours.

The first and second-order partial derivatives of the given function are fₓ = 20cos(2x+y) - 3sin(x-y) and fₓₓ = - 40sin(2x+y) - 3cos(x-y).

What are partial derivatives?

A partial derivative in mathematics refers to a function's derivative with respect to one of the variables while holding the others constant. In differential geometry and vector calculus, partial derivatives are used.

Here, we have

Given: f(x,y) = 10sin(2x+y)+3cos(x−y)

We have to find the first and second-order partial derivatives of a given function.

f(x,y) = 10sin(2x+y)+3cos(x−y)

Now, we find the first-order derivative of a given function:

fₓ = \(\frac{d(10sin(2x+y)+3cos(x−y))}{dx}\)

fₓ = 20cos(2x+y) - 3sin(x-y)

\(f_{y}\) = \(\frac{d(10sin(2x+y)+3cos(x−y))}{dy}\)

\(f_{y}\) = 10cox(2x+y) + 3sin(x-y)

Now, we find the second-order derivative of a given function:

fₓₓ = \(\frac{d(20cos(2x+y) - 3sin(x-y))}{dx}\)

fₓₓ = - 40sin(2x+y) - 3cos(x-y)

\(f_{yy}\) = \(\frac{d( 10cos(2x+y) + 3sin(x-y))}{dy}\)

\(f_{yy}\) = - 10sin(2x+y) - 3cos(x-y)

Hence, the first and second-order partial derivatives of the given function are fₓ = 20cos(2x+y) - 3sin(x-y) and fₓₓ = - 40sin(2x+y) - 3cos(x-y).

To learn more about the partial derivatives from the given link

https://brainly.com/question/29655602

#SPJ4

Answer: X = 4

(4x-1) = (2x+7)

X = 4

The directional derivative of the function f(x, y) = cos(x + y) at point P(0, π) in the direction of Q(π/2, 0) is 0.

The directional derivative measures the rate of change of a function in a particular direction. In this case, we are asked to find the directional derivative of the function f(x, y) = cos(x + y) at point P(0, π) in the direction of Q(π/2, 0).

According to Theorem 13.9, the directional derivative DQf(P) can be calculated using the formula DQf(P) = ∇f(P) · uQ, where ∇f(P) represents the gradient of f at point P and uQ is the unit vector in the direction of Q.

First, we find the gradient of f at point P:

∇f(P) = (-sin(0 + π), -sin(0 + π)) = (0, 0)

Next, we determine the unit vector uQ in the direction of Q:

uQ = (π/2 - 0, 0 - π) = (π/2, -π)

Finally, we compute the directional derivative:

DQf(P) = ∇f(P) · uQ = (0, 0) · (π/2, -π) = 0

Therefore, the directional derivative of the function at point P in the direction of Q is 0.

Learn more about directional

brainly.com/question/32262214

#SPJ11

Given :

The admission fee at a small fair is $1.50 for children and $4.00 for adults.

On a certain day, 2,200 people enter the fair and $5,050 is collected.

To Find :

How many children and how many adults attended.

Solution :

Let, number of children and adults attended are c and a.

So, c + a = 2200      ....1)

Now, fair collected is given by :

1.5c + 4a = 5050     ....2)

Putting value of a from equation 1) to 2), we get :

1.5c + 4( 2200 - c ) = 5050

1.5c - 4c = 5050 - 8800

2.5c = 3750

c = 1500

a = 2200 - 1500

a = 700

Therefore, 1500 children and 700 adults attended the fair.

The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.

The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.

The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.

It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.

Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.

To know more about area of a rhombus on the link below:

https://brainly.com/question/12783973#

#SPJ11

The computed value of the test statistic is 2.94.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We have a sample size of n = 12, engine size (x) and emissions (y) are the two variables being correlated, and the sample correlation coefficient is r = 0.47.

The null hypothesis is that the population correlation is zero (H0: ρ = 0) and the alternative hypothesis is that the population correlation is positive (Ha: ρ > 0).

To compute the test statistic, we need to first calculate the degrees of freedom (df), which is (n-2) = 10 in this case.

We can then use the formula for the test statistic, which is:

t = (r√(df)) / √1 - r²

Substituting the values we have, we get:

t = (0.47 √10) / √(1 - 0.47²)

t = 2.94

Therefore, the computed value of the test statistic is 2.94.

To learn more on Statistics click:

https://brainly.com/question/29093686

#SPJ1

Answer:

Bisecting an Angle.

Step-by-step explanation:

This image shows the Bisection of an Angle. The 'x' shaped mark between the angle is formed when a protractor is used to mark the place in which a ray must pass through the center of the 'x' to be an equal bisection of the angle. This shows that the process that is being undergone is finding the bisection of the angle.

Answer:

bisecting an angle

just took the test!

Step-by-step explanation:

The IH states that the sum of the angles in convex polygon C(which, by the IH, is (n - 2)·π) and the sum of the angles in triangle B (180°) is the same as the sum of the angles in A.

Using induction all convex polygons with n vertices have angles that add to (n - 2)·π, therefore let P(n) be that. We will demonstrate that P(n), where n≥3, holds for every n ∈ N. We demonstrate P(3), which states that any convex polygon with three vertices has an angle total of 180 degrees. Any triangle formed by such a polygon has angles that add up to 180°.

Assume that P(n) holds for some n ≥ 3 and that all convex polygons with n vertices have angles that add to (n-2) 180° for the inductive step. We demonstrate P(n+1), which states that each convex polygon with n+1 vertices has an angle sum of (n-1)·π. Let A represent any n+1-vertex convex polygon.

The IH states that the sum of the angles in convex polygon C (which, by the IH, is (n - 2)·π) and the sum of the angles in triangle B (180°) is the same as the sum of the angles in A. As a result, the total angle in A is (n-1) 180°. Thus, the induction is complete and P(n + 1) holds.

To learn more about angles in convex polygon link is here

brainly.com/question/13585442

#SPJ4

Answer:

Week 8

Step-by-step explanation:

week 1 8

week 2 11

week 3 14

week 4 17

week 5 20

week 6 23

week 7 26

week 8 29

Using the Mean and median formulae ,

The difference between the mean and median score of the students' scores on this quiz is 3.

Mean : The mean is the number which we get by dividing the sum of a set of values by the number of values in the set.

Median: the median is the middle number in a set of values when those values are arranged in either ascending or descending order.

let us consider there are a total 100 students.

and X denotes the marks obtained by students.

We have given that,

10% of student scored 70 points i.e.,

P(X=70) = 10% of 100 = 10

35% of students scored 80 points i.e., number of students whose obtained 80 points

= 35% of 100 = 35

30% of students scored 90 points , number of students whose obtained 90 points

= 30% of 100 = 30

remained ( 25%) of students scored 100 points

= 100 - 10 - 35 - 30 = 25

total marks obtained by students

= 80+70+90+100

= 340

Mean of score of students'scores on the quiz

= (70×10+ 80×35 + 90×30 + 100×25)/100 = 87

when we arranged the in ascending students in order , the 50th and 51th student lies in middle and marks obtained by both (50th and 51th) is 90 points .

So, Median score of the students' scores on this quiz = 90

Now, we shall calculate the difference between mean and median of score of the students' scores on this quiz which is equal to( 90 -87)

= 3

Hence, difference between the mean and median score of the students' scores on this quiz = 3

To learn more about Mean and median, refer:

https://brainly.com/question/14532771

#SPJ4

If \($x$\) is an element of the set \($\{ -1, 1, 2 \}$\) and \($y$\) is an element of \($\{ -2, -1, 0, 1, 2 \}$\), the number of distinct values of \($x^y$\) that are positive is 5.

When the base is positive, the exponent produces positive powers.

Now, let's evaluate the power for each possible combination of \($x$\) and \($y$\):

For \($x = -1$\) and \($y$\) being an even number, we get a positive power. Here are the possible even values for \($y$\):
\($y = -2$\) and \($y = 0$\).  Therefore, \($x^y$\) is positive for two possible combinations: \($(-1)^{-2} = 1$\) and \($(-1)^{0} = 1$\).

For \($x = 1$\) and any value of \($y$\), the power of \($x$\) is always positive, and the value of \($x$\) is always 1. Therefore, there's only one possible combination: \($1^y = 1$\).

For \($x = 2$\) and \($y$\) being an even number, we get a positive power. Here are the possible even values for \($y$\):
\($y = -2$\) and \($y = 0$\). Therefore, \($x^y$\) is positive for two possible combinations: \($2^{-2} = 1/4$\) and \($2^{0} = 1$\)

For \($x = 2$\) and \($y$\) being an odd number, we get a negative power. Here are the possible odd values for \($y$\):
\($y = -1$\) and \($y = 1$\). Therefore, \($x^y$\) is positive for zero possible combinations.

Therefore, the total number of distinct values of \($x^y$\) that are positive is \($2+1+2 = 5$\).

To know more about distinct values refer here:

https://brainly.com/question/28788137

#SPJ11

To find the value of f(6), we can use the information given about the function f(x) and its derivative f'(x).The value of f(6) is 44/3.

Given that f'(x) is continuous, we can apply the Fundamental Theorem of Calculus. According to the theorem:

∫[a to b] f '(x) dx = f(b) - f(a)

In this case, we are given that:

∫[1 to 6] 6 f '(x) dx = 16

We can simplify the integral:

6 ∫[1 to 6] f '(x) dx = 16

Since f'(x) is the derivative of f(x), the integral of 6 f '(x) dx is equal to 6 f(x). Therefore, we have:

6 f(6) - 6 f(1) = 16

Substituting the given value f(1) = 12:

6 f(6) - 6(12) = 16

6 f(6) - 72 = 16

Next, we isolate the term with f(6):

6 f(6) = 16 + 72

6 f(6) = 88

Finally, we solve for f(6) by dividing both sides by 6:

f(6) = 88 / 6

f(6) = 44/3

To learn more about derivate click here:

brainly.com/question/31769642

#SPJ11

Answer:

4^-5

Step-by-step explanation:

4^-3 = 1/4^3

1/4^3 · 1/^2 = 1/4^5 which is the same as 4^-5

Answer:

To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.

-x + y = 4

y = x + 4

Now we can substitute this expression for y into the first equation and solve for x.

-2x + 2(x + 4) = 7

-2x + 2x + 8 = 7

8 = 7

The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.

Therefore, the solution to the system of equations is "No solution."

Note: Please be sure to double-check your work to avoid mistakes.

Step-by-step explanation:

Hope this helps you!! Have a wonderful day/night!!

Answer:

The system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

Step-by-step explanation:

As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:

x+y≥10

Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:

6x+4y≤50

The answer is that the system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

Answer:

51%

Step-by-step explanation:

The probability of selecting the card with the number three at least once is 1/10.

Given that,

1 through 10 cards are contained in a box. Two cards are chosen at random and replaced

To find : The probability of selecting the card with the number three at least once?

Probability (3 at first)  * Probability (3 at second) + Probability (3 at first)  *Probability (others at second) + Probability (others at first) *Probability (3 at second) = 1/10 * 1/0 + 1/10 *9/10 + 9/10*1/10

= 19/100 = 0.19

Here there are 10 cards,

So, probability of picking three is 1/10 and probability of picking others is 9/10

To learn more about probability click here:

brainly.com/question/11234923

#SPJ4

For the given equation, we created a situation in which the equation would work and analysed it.

What is meant by equations?

A mathematical equation is a formula that uses the equals sign (=) to represent the equality of two expressions. The expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side," respectively, of the equation. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.

a ) Given the equation as:

 g + 3 / 16 = 15

Now we have to create a situation that the equations could represent. We have to create a word problem for the equation.

James had a packet of chocolates. There were a total of 16 students in his class. He bought three more chocolates so that each student received 15 chocolates. How many chocolates did James have in the beginning?

To solve this we take g as the number of chocolates in the beginning.

He bought 3 more chocolates.

So number of chocolates = g + 3

Now he divided it among 16 students equally.

So each student received = g + 3 /16 = 15 chocolates.

b) The situation would not work if the denominator of the equation is doubled. That is 16 * 2 = 32.

Because the number of students is 16.

But if the students were 16*2 = 32 then the situation would work.

Therefore for the given equation, we created a situation in which the equation would work and analysed it.

To learn more about equations, follow the link.

brainly.com/question/22688504

#SPJ1