Teresa surveyed 100 students about whether they like pop music or country music. Out of the 100 students surveyed, 41 like only pop, 35 only like country, 11 like both pop and country, and 13 do not likeeither pop or country. Complete the two-way frequency table.

The remaining zeroes of p are x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex].

Given,

The equation is :

p(x) = [tex]4x^3+x^2-24x-6[/tex]

c = -1/4

To find the remaining zeroes of p

Now, According to the question:

[tex]4x^3+x^2-24x-6[/tex]

Apply grouping

[tex](4x^3+x^2)+(-24x-6)=0[/tex]

Factor out common factor

[tex]x^{2} (4x+1)-6(4x+1)=0[/tex]

[tex](x^2-6)(4x+1)=0[/tex]

Apply zero Product Property

4x +1 = 0 or [tex]x^{2} -6=0[/tex]

x = -1/4 or x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex]

Hence, The remaining zeroes of p are x = [tex]\sqrt{6}[/tex] or x = -[tex]\sqrt{6}[/tex].

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The graph given in the problem is the function of cosine that is;

y = -cos x

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it. If the function crosses x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

Suppose that we've got:

f(x) = a cos (bx - c) + d

Then, this function has the Amplitude (the maximum distance of the graph from the middle line) = a

Period = [tex]\dfrac{2\pi}{b}[/tex]

Phase shift = [tex]\dfrac{c}{b}[/tex]

Maximum value: a + d

Minimum value: -a + d

Here we can see that the graph is the function of cosine that is;

y = -cos x

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The percentage of the sixth graders at this middle school write left-handed is 8%.

Since there are there are 90 girls and 60 boys in the sixth grade at kimbrough middle school. The total number will be:

= 90 + 60

= 150 students

Since 9 girls and 3 boys write left-handed, this will give a total of 9 + 3 = 12

Therefore the percentage for left handed people will be:

= Number of left handed people / Total students × 100

= 12 / 150 × 100

= 8%

The percentage is 8%.

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Answer: 50 degrees

Step-by-step explanation: 23+107+x=180

130+x=180

x=50

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

How to calculate the probability distribution's mean: Steps

A specific genetic mutation affects 4% of the population. 300 persons are chosen at random. Find the standard deviation for the proportion of the 300 groups who have the genetic mutation.

Standard deviation is calculated as follows: 0.04 * 0.93/300 * sqrt(p*(1-p)/n) (0.000124).

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bags of leaves : 5

Cost = $10

Divide the cost by the number of bags:

10/5 = $2 per bag

Now, multiply by 25

2 x 25 = $50

Answer: g ≤ 5

Step-by-step explanation: 2g + (g + 5) >= 6g - 10 ⇒ g ≤ 5

Answer:

[tex]m^{15} n^{9}[/tex]

Step-by-step explanation:

Answer:

2ln5 + ln4 + ln5

Step-by-step explanation:

Think about how we can write 500 in terms of 4 and 5.

[tex]500 = 5^2*(4*5)[/tex]

So ln(500) can be written as ln(5^2*4*5)

Using log rules [tex]log_b(x*y)=log_b(x)+log_b(y)\\logb(x^a)=a*log(x)[/tex]

we can rewrite ln(500) to 2ln5 + ln4 + ln5

Answer:

second answer

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

Is there a English version for this question?

The hypotenuse bracing must be 80 inches long in order to fit between the posts, when the height of the post is 48 inches and there is 64 inches between posts i.e base.

We must understand that a right angle is formed by the height of a post and the horizontal space between posts. The hypotenuse of a right triangle is then the diagonal that connects one post's highest point to its lowest point. The length of this hypotenuse can then be determined using the Pythagorean theorem.

The Pythagorean theorem states that H2 = P2 + D2, where P is the height of a post (cathetus), D is the distance between posts (cathetus), and H is the hypotenuse (diagonal).

We can substitute these values since we are aware of them: ​

H² = (48inches)² + (64inches)² = 2,304inches² + 4,096inches² = 6,400inches²​

H= [tex]\sqrt{6400}[/tex] inches

H   = 80inches​

Therefore, The length of the diagonal brace be in order to fit between the posts is 80 inches.

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Answer:

What is the meaning of geometric sequence?

Step-by-step explanation:

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value. Its general term is. a n= a 1 r n – 1. The value r is called the common ratio. It is found by taking any term in the sequence and dividing it by its preceding term.

Answer:

Below.

Step-by-step explanation:

It is a sequence of numbers with a common ratio. That is, each term after the first is obtained by multiplying the previous one by the common ratio.

Examples:

2, 6, 18, 54 ...    is a geometrics sequence with common ratio 3.

1, 1/2, 1/4, 1/8 ... has a common ratio of 1/2.

-1, 1, -1, 1, -1 ...   has a common ratio of -1.

The nth term of a geometric sequence is given by

a r^(n-1) where a = first term and r = common ratio.

The solution b = 1.4 represents the weight of one bag of bean.

In the question;

it is given that

weight of cardboard box when empty = 0.6 pounds

number of bean bags = 15 bags

weight of rice bag = 4 pounds

let the number of bean bags = b

total weight of carboard box with contents= 25.6 pounds

So , according to the question

0.6 + 15b + 4 = 25.6

solving further , we get

15b+4.6 = 25.6

15b = 25.6-4.6

15b = 21

b = 21/15

b = 1.4

Therefore , the solution b = 1.4 represents the weight of one bag of bean.

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The simplified value of the expression given as -9 (-5 - 4c) is 45 + 36c

From the question, the expression is given as

-9 (-5 - 4c)

To simplify the expression, we start by opening the bracket

So, we have the following equation

-9 (-5 - 4c) = -9 (-5 - 4c)

Remove the brackets

So, we have

-9 (-5 - 4c) = -9 x -5 -9 x - 4c

Evaluate the products

So, we have

-9 (-5 - 4c) = 45 + 36c

Hence, the value of the expressions is  -9 (-5 - 4c) = 45 + 36c

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The number of permutations possible to seat the 3 pairs of siblings in a way that one may not sit right next to their sibling and no child may sit directly in front of his or her sibling is 96.

A permutation cannot be formed with siblings in the same row.

As a result, each row should have siblings from various families.

Any of the six youngsters can take the first seat.

After deducting the kid who currently occupies the first seat and their sibling, the second seat can be filled by any of the four children.

permutation = 6 × 4

permutation = 6 × 4 × 2

Now, for the third row, there are only 3 children left to be seated.

Only 2 out of the remaining three can be seated in the first position.

Hence, the remaining possibility is 2.

permutation = 6 × 4 × 2 × 2

Similarly, the third row can only be filled with one possibility remaining of the 6 since it is not allowed to seat siblings right up front.

permutation = 6 × 4 × 2 × 2 × 1 × 1 = 96

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When inflating a balloon, the expansion of the balloon represents an equal but opposite force acting on the balloon

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Answer:

[tex]\\ y = \frac{1}{3} x - 4[/tex]

Step-by-step explanation:

Hope this helps! :))

Given:

There are given the complex equation:

Explanation:

To find the value, we need to put the standard value of z into the above-given complex function:

Then,

Then,

So,

Then,

Final answer:

Hence, the value of the given complex function is shown below:;

To determine the equation that best describe the data in the table, let us substitute the value of x given on the table into each equation and check for the equation that gives us the corresponding values of y;

for x = -2, y=-4; substituting x= -2 into each equation, we have;

From the first substitution, only equation a and c gave us the corresponding value of y.

Secondly, let's substitute another value of x into the two right right equaabove to confirm the best;

At x=1, y= -7; substituting x=1 into equation a and c we have;

From the above only equation c gave us the corresponding value of y at x=1.

Since only equation c gave us the corresponding values of y for both substituttions. The equation that best describe the data on the table is equation cequatio

Let:

L = length of the road

D = Days of construction

We can write a linear equation in the slope-intercept form:

Where:

m = Slope = rate = 1 mile per day

b = y-intercept = Initial value = 10 miles

Therefore:

The graph is:

Answer:

(10 x 9) + (2 x 9) = 90 + 18 = 108

Step-by-step explanation:

This is the answer because you break 12 into different parts, multiply them separately multiply them with nine. You can check the answer by doing 12*9 = 108 which matches what we need.

Answer: 6

Step-by-step explanation:

m = -4 / 2 = -2 / 1 = -2

Exponential decay formula:

y is the number of tickets sold at t years

a is the initial number of tickets sold

r is the rate of drop (in decimal form)

t is the time in years

8 years from now:

The value of x is 29° and it's a supplementary angles.

Supplementary angles simply means the angles that have a sum that is equal to 180°

In this case, we have been given two angles. It's important to equate them together. This will be illustrated as:

2x + 15 + 5x - 38 = 180

Collect like terms

7x - 23 = 180

Collect like terms

7x = 180 + 23

7x = 203

Divide

x = 203/7

x = 29°

The complete question is written below.

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Complete question

Given angle P is 2x + 15. and angle Q is 5x - 38. Prove that they are supplementary

Based on the given shopping list, when put in BIMDAS format and then solved, the total amount would be $26.90

In BIMDAS format, we have to solve the problem in the brackets first and then use the order of operations to find the total shopping cost.

The BIMDAS format would be:

= (Number of orange dozens x Cost per dozen) + (Number of bacon packets x Cost per packet) + (Number of strawberry packets x Price per packet)

= (3 x 4.50) + (2 x 2.50) + (2 x 4.20)

The solve those in the brackets:

= 13.5 + 5 + 8.40

Then add the costs to find the total cost on the shopping list:
= 13.5 + 5 + 8.40

= $26.90

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Based on the shopping list given in the problem, in BIMDAS format and then solved, the total amount will be; $26.90

In BIMDAS format, we need to solve the problem in the brackets first and then use the order of operations to determine the total shopping cost.

The BIMDAS format is:

= (Number of orange dozens x the Cost per dozen) + (Number of bacon packets x the Cost per packet) + (Number of strawberry packets x the Price per packet)

= (3 x 4.50) + (2 x 2.50) + (2 x 4.20)

The solutions in the brackets:

= 13.5 + 5 + 8.40

Then add the costs for the total cost on the shopping list which is;

= 13.5 + 5 + 8.40

= $26.90

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The problem states that "three increased by a quotient", this implies that the three is separated from the quotient, therefore, we need to create the equation in the following manner:

The correct answer is "b".