After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?” The public relations department is concerned that the opinions may be equally distributed across these three options. The survey reveals that 38 customers approve, 45 disapprove, and 17 have no opinion. They decide to carry out a test of significance to determine if there is convincing evidence that the distribution of opinion in the population is equally distributed across the three options. What is the value of the chi-square test statistic and the P-value of this test?

Find the chi-square table here.

χ2 = 7.77, P-value is between 0.02 and 0.025
χ2 = 7.77, P-value is between 0.05 and 0.10
χ2 = 8.54, P-value is between 0.01 and 0.02
χ2 = 8.54, P-value is between 0.025 and 0.05

Answer:

B

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

(5*a*b*c) / (b) => (5*3*-4*-1) / (-4)

=> (60) / (-4)

=> -15

Answer:

(3,-1) or x = 3, y = -1

Step-by-step explanation:

Solve for the first variable, then substitute said variable into the other equation.

(3, -1) point form

x=3, y=-1 expression form

Step-by-step explanation:

Answer: 4 hours

Step-by-step explanation:

Given

Auto charge a fixed amount of $35

and $7 per hour

Rafa bill was $63

Suppose Rafa travels for x hours. So, we can write

\(\Rightarrow 63=35+7x\\\Rightarrow 28=7x\\\Rightarrow x=4\ \text{hour}\)

The width of each column is 2 inches.

Width is the measurement of something from side to side.

Let x = width of each column.

If a "gutter" is one eighth as wide as each column, then the width of the gutter can be expressed as

gutter = (1/8)x

If the document is 8.5 in. wide, then the sum of the widths of the left and right margins, the 3 columns and the 2 gutters in between columns is equal to 8.5 in.

left margin + right margin + 3 columns + 2 gutters = 8.5in

1 in + 1 in + 3x + 2(1/8)x = 8.5 in

3x + 2(1/8)x = 8.5 in - 1 in - 1 in

3 1/4 x = 6.5 in

x = 2 in

width of each column = 2 inches

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Answer: 4x+10

simplified: 2x+5

Step-by-step explanation:

Answer: 4x+10

You multiply 2 by (2x) = 4x

You multiply 2 by (5) = 10

We can conclude that the number of possible schedules for next semester could she make is 7920.

In more mathematical terms, the factorial of a number (n!) is equal to

n(n-1). For example, if you want to calculate the factorial for four, you would write: 4! = 4 x 3 x 2 x 1 = 24.

Given that,

The student needs 11 more classes to graduate.

And, possible schedules for next semester could she make if she plans to take 4 classes

Based on the given expression, the calculation is as follows:

The combination formula is given to be:

\(n_{C} _{r} =\frac{n!}{r!(n-r)!}\)

= \(11_{C} _{4}\) ! * 4 !

= \(\frac{11 !}{4!(11-4)!}\)  * 4 !

= \(\frac{11!}{4!7!}\) * 4 !

= \(\frac{11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1*7*6*5*4*3*2*1}\) * 4 !

We can cancel the coefficients,

= \(\frac{11*10*9*8}{4*3*2*1}\) * 4 !

= \(\frac{7920}{24}\) * 4 !

= 330* 4 !

= 330 * 4*3*2*1

= 7920

Therefore,

We can conclude that the number of possible schedules for next semester could she make is 7920.

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Answer:

17.5

Step-by-step explanation:

Since the triangles are similar, the side lengths are proportional.  One way we can solve this is by finding the scale factor for the triangle on the left to the triangle on the right.  We can use the two corresponding sides that we know.

Let x = the scale factor

385x = 175  Divide both sides by 385

x = \(\frac{175}{385}\)  Simplify by dividing the numerator and the denominator by 35

x = \(\frac{5}{11}\)

Take the corresponding side of MK and multiply it by \(\frac{5}{11}\) to find MK

38.5 x \(\frac{5}{11}\) = 17.5

If Rachana randomly selects two mugs from the set, the probability that she gets two different mugs is 0.1556 or 15.56%.

To solve this problem, we can use the concept of combinations. Since there are 10 mugs in the set, there are 10 choose 2 = 45 ways to select two mugs without considering order.

Out of these 45 ways, we need to count the number of ways Rachana can select two different mugs. Since there are 3 different types of mugs, Rachana can choose any one of the three types for the first mug. There are 10 mugs in the set, out of which 3 belong to the chosen type. Therefore, the probability of choosing a mug of the chosen type is 3/10.

For the second mug, Rachana can choose from the remaining 9 mugs. Since she needs to choose a different type of mug, she can choose any one of the 2 remaining types. There are 7 mugs left from the other 2 types. Therefore, the probability of choosing a mug of a different type is (7/9) * 2/3 = 14/27.

Therefore, the probability of selecting two different mugs is the product of the probabilities of selecting a mug of the chosen type and a mug of a different type. This is given by (3/10) * (14/27) = 7/45, which is approximately 0.1556 or 15.56%.

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Complete question is:

Rachana has a set of ten mugs the set up is made of 3 different mugs. If Rachana randomly selects two mugs from the set, what is the probability that she gets two different mugs?

Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any rotational symmetry.

Hope it helps

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Answer: 1,553,555

Step-by-step explanation:

1,000,000

553,000

550

1,553,555

Answer:

1553,555 that's the answer for that question

Answer:

3 + 2 = 5

Step-by-step explanation:

Remember Commutative Property by thinking about what happens when someone has to "commute" (driving back and forth to work or school) If the numbers in the addition MOVE then it is Commutative Property.

a y-intercept is any point that has an x-value of 0. for example, the ordered pairs (0,6) and (0,-4) would both be considered y-intercepts since any point with an x-value of 0 overlaps with the y-axis.

Answer: to find a y intercept  you have to use the slope intercept form  y = mx+b  the m is the slope and the b is the y intercept the intercept depends on the value where y crosses the y axis.

Answer:

6

Step-by-step explanation:

The answer is 6 because you basically just finding the differnce between -2 and 4.

Answer:

\(\displaystyle S_{8}=6560\)

Step-by-step explanation:

We have the geometric sequence:

2, 6, 18, 54 ...

And we want to find S8, or the sum of the first eight terms.

The sum of a geometric series is given by:

\(\displaystyle S=\frac{a(r^n-1)}{r-1}\)

Where n is the number of terms, a is the first term, and r is the common ratio.

From our sequence, we can see that the first term a is 2.

The common ratio is 3 as each subsequent term is thrice the previous term.

And the number of terms n is 8.

Substitute:

\(\displaystyle S_8=\frac{2((3)^{8}-1)}{(3)-1}\)

And evaluate. Hence:

\(\displaystyle S_8=6560\)

The sum of the first eight terms is 6560.

Answer:

S₈ = 6560

Step-by-step explanation:

The sum to n terms of a geometric sequence is

\(S_{n}\) = \(\frac{a(r^{n}-1) }{r-1}\)

where a is the first term and r the common ratio

Here a = 2 and r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{6}{2}\) = 3 , then

S₈ = \(\frac{2(3^{8}-1) }{3-1}\)

    = \(\frac{2(6561-1)}{2}\)

    = 6561 - 1

    = 6560

The area of the shaded sector is 9π unts²

The term "turn" also refers to a 360° rotation. Angles between 0° and 360° are calculated. We require a circle's circumference, which is equal to 2 r r, where r is the circle's radius.

In any circle of radius r, the ratio of the arc length ℓ to the circumference equals the ratio of the angle θ subtended by the arc at the center and the angle in one revolution. Thus, measuring the angles in radians, ℓ2πr=θ2π⟹ ℓ=rθ.

Find the diagram attached

Given the following

Radius = 6

Theta = pi/2 = 90°

Area of the sector = theta/360×πr²

Area if the sector = 90/360 × π(6)²

Area of the Sector = 1/4 × 36π

Area of the sector = 9π unts²

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Answer:

b

Step-by-step explanation:

2.00 divided by 3 is about 0.667. So that 0.667 times 2 pounds of potatoes is about 1.34.

As a result of answering the given question, we may state that This equation is the product of two numbers: T0 and -x * y * C.

In mathematics, an equation is a statement stating the equality or two expressions. An equation consists of two sides split by an algebraic equation (=). For illustration, the argument "2x + 3 = 9" argues that the statement "2x + 3" is equal to the value "9". The goal of equation solving is to find the value or values of the variable(s) to make the equation true. Simple or complex equations, regular or nonlinear, and including one or more factors are all possible. For example, the equation "x2 + 2x - 3 = 0" has the variable x raised to the second power. Lines are used in many fields of mathematics, including algebra, calculus, or geometry.

Provided the temperature of the water before adding the ice cubes is known and given by T0 (in degrees Fahrenheit), and Raul added a certain number of ice cubes to the water, we can represent the temperature of the water after adding the ice cubes as:

T = T₀ + ΔT

ΔT = -x * y * C

where C is a constant representing water's heat capacity.

Putting it all together, the temperature of the water after adding the ice cubes can be expressed as:

T = T₀ - x * y * C

This expression is the product of two numbers: T0 and -x * y * C.

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The complement of set A, denoted by ​ A`, is the collection of all elements that belong to the universal set but are not part of set A. It's not necessary to mention the universe (also known as U) if it's understood which set of elements is being referred to.

The complement of a set A is the collection of all elements that belong to the universal set but not to set A. It is denoted as ​ A` and does not include any elements that are already in set A. The universal set, also known as U, contains all possible elements and is assumed to be known. Therefore, when referring to the complement of a set, it is not necessary to mention the universal set explicitly. The complement of a set is useful in determining the set of elements that are not part of a particular set, and it can be used in various mathematical operations.

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Tori's loss from the stock will be $28.29 and her rate of return will be -84.75%.

Since Tori bought one share of Macy's stock on Nov 1, 2016 for $33.38 and she sold it and the closing price for that day was $5.09, her loss will be;

= $5.09 - $33.38

= -$28.29

Her rate of return will be:

= -28.29/33.38 × 100

= -84.75%

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Answer:

Jon types 54 words per minute.

Step-by-step explanation:

If Jon typed 36 words in 2/3 of a minute, we need to divide 36 by 2.

36 ÷ 2 = 18

Therefore, Jon types 18 words in 1/3 of a minute. In order to find how many words are typed per minute, we must multiply 18 by 3.

18 x 3 = 54

Therefore, Jon types 54 words per minute.

Hope this helps! :D

Answer:

The distance between the two is 465 meters

Step-by-step explanation:

We first need to set up a triangle that shows the relative position and distances of the two friends

Please check attachment for this

To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem

Mathematically;

Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus;

D^2 = 256^2 + 388^2

D^2 = 216,080

D = √216,080

D = 464.84 which is approximately 465 m

Answer:

c

b.

180

d

3 m

A

E

4 m

the diagram shows the cross section of a garden shed.

(a)

(b)

calculate the height of the shed.

calculate the length of cb

Given the function:

Let's find the function after differentiating it 68 times.

To differentiate, let's take the derivative.

First derivative:

Second derivative:

Since 3 is the constant with respect to x, the derivative of 3cos(3x) with respect to x will be:

After the second differentiation, we have -sin, , the same will be applicable to the 68th time.

Therefore, for the 68th differentiation the exponent for the constant -3 will be 68.

Therefore, after differentiating the function 68 times, we have:

ANSWER:

Answer:

67.77$ Kevin use to pays for the items.

Step-by-step explanation:

According To the Question, We have

Kevin buys the item listed below at a grocery store

Now, Kevin Pays for the items and receives 0.45$ in Change.

Amount of Money Kevin Pays

6.48$+23.76$+37.08$+0.45$ = 67.77$

The proportion of green, yellow, and red lights on the streets between Kymere's home and the university is unknown. Without specific information about the street lights in Kymere's area, it is not possible to determine the proportion of green, yellow, and red lights between their home and the university.

The distribution of traffic lights can vary widely depending on the country, region, or even specific city regulations. Some cities may have a higher proportion of green lights to ensure smooth traffic flow, while others may have more yellow or red lights to prioritize safety.

Additionally, factors such as the time of day, traffic patterns, and road conditions can also influence the functioning of traffic lights. Therefore, without more details about the specific location, it is not possible to provide an accurate proportion of green, yellow, and red lights on the streets between Kymere's home and the university.

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Answer:

I believe its C , i took this class

Step-by-step explanation:

Answer: \(810m^{2}\)

Step-by-step explanation:

First, we divide the composite figure into two distinct geometric shapes. This would be a triangle and a square. To find the triangle we use the formula:

A = 1/2bh

To find the base of the triangle we can add:

9 + 9 + 18 = 36

Now we plug in and solve:

A = 1/2bh

A = 1/2(36)(27)

= 1/2(972)

= 486

To find the square, we can use length x width:

18×18 = 324

Now, we add the sums together:

486 + 324 = 810