In a sample of 400 voters, 360 indicated they favor the incumbent governor. The 95% confidence interval of voters favoring the incumbent is.

Answer:

31 ≤ x

Step-by-step explanation:

22 ≤ x - 9;

22 + 9 ≤ x - 9 + 9;

31 ≤ x

The slope of a line can be determined from a table, by finding the difference between y-coordinates and dividing by the difference between x-coordinates units on a coordinate plane, or by finding the rise over the run between two points coordinates.

The slope of a line is a fundamental concept in mathematics that measures the steepness of the line. It can be determined using different methods, including from a table, on a coordinate plane, or by calculating the coordinates.

When determining the slope from a table, we can identify two points on the line and use the slope formula, which is the change in y over the change in x. We subtract the y-coordinates and the x-coordinates of the two points and divide the result to find the slope.

On a coordinate plane, the slope can be determined by identifying two points on the line and drawing a right triangle between them. We can then find the rise, which is the change in y, and the run, which is the change in x, and divide the rise by the run to calculate the slope.

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Answer:

\(\fbox{\begin{minipage}{13em}Option D: 2(3x + 4)(3x - 4)\end{minipage}}\)

Step-by-step explanation:

      \(A = 18x^{2} - 32\\\)

Find the sharing components:

<=> \(A=2*9*x^{2} - 2*16\)

Apply the inverse of associative property:

<=> \(A = 2(9x^{2} - 16)\)

Identify two square components inside the parenthesis:

<=> \(A = 2((3x)^{2} - 4^{2} )\)

Factorize:

<=> \(A = 2(3x + 4)(3x - 4)\)

=> Option D is correct

Hope this helps!

:)

Answer:

the first layer would be the exosphere.

Answer:

-6

Step-by-step explanation:

24/4 is 6 but the tempature decreased due to that we put a negative symbol in front.

Answer: Answer  B, shows a line going from point (0, 60) to point (3, 120).

Step-by-step explanation: i hope this helps you

Answer:

Answer  B, shows a line going from point (0, 60) to point (3, 120).

Step-by-step explanation:

Answer:

The original price is $168

Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

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The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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The length of sides BC and XC in the triangle are 8.66 and 10 units respectively

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Trigonometric ratio is used to show the relationship between the sides and angles of a right triangle.

From the triangle shown, using trigonometric ratio:

sin(30) = 5/XC

XC = 10

Also:

tan(30) = 5/BC

BC = 8.66

The length of BC and XC are 8.66 and 10 units respectively

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Answer: Each student will receive 2 muffins

Step-by-step explanation: 4 x 12 = 48

48 ÷ 24 = 2

The 90% confidence interval for Lucas Barrett's true average golf score on this course is (83.95, 106.05).  

We can construct a 90% confidence interval for Lucas Barrett's true average golf score on this course using a t-distribution.

Let X be the sample mean score, s be the sample standard deviation, and n be the sample size.

The formula for a 90% confidence interval for the population mean μ is:

(X - z*(s/√n), X + z*(s/√n))

here z is the critical value from a t-distribution with n-2 degrees of freedom and a confidence level of 0.90.

Using a t-distribution table, we find that the critical value for a confidence level of 0.90 and 99 degrees of freedom (n-2) is ±1.645.

Putting the given values, we get:

(95 - 1.645, 95 + 1.645) = (83.95, 106.05)

Therefore, the 90% confidence interval for Lucas Barrett's true average golf score on this course is (83.95, 106.05).  

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Answer:

10 decimetres

Step-by-step explanation:

Hope this will be helpful.

If OT is the bisector of angle PTR, then PT=RT and ST=TQ, proved.

Since OT is the bisector of angle PTR, we have:

∠PTO = ∠RTO (by definition of angle bisector)

Since O is the centre of the circle, we have:

PO = RO, and

TO = TO (common side)

Therefore, by the triangle congruence criterion ASA (angle-side-angle), we have:

△PTO ≅ △RTO

Hence, we get:

PT = RT (by corresponding parts of congruent triangles)

Now, let us consider the angles of the quadrilateral PQTS:

∠PTQ + ∠STP + ∠TSR + ∠QRS = 360°

Since PT = RT, we have:

∠PTQ = ∠RTS

Also, since OT is the bisector of ∠PTR, we have:

∠STP = ∠STR

Therefore, the above equation becomes:

∠RTS + ∠STR + ∠TSR + ∠QRS = 360°

2∠RTS + 2∠TSR = 360° (since ∠STP = ∠STR)

∠RTS + ∠TSR = 180°

But, ∠RTS = ∠PTQ and ∠TSR = ∠QRS (by vertical angles)

Therefore, we have:

∠PTQ + ∠QRS = 180°

Thus, ST is a diameter of the circle (by the converse of Thales' theorem), and hence:

ST = 2 × radius

Also, since OT is the perpendicular bisector of PT and RT, we have:

OP = OR

Therefore, we get:

TQ = TP, and

TS = TR

Hence, ST = TQ + TS = TP + TR = 2 × PT

Therefore, we have:

TQ = PT, and

ST = 2 × PT

Substituting the value of ST in terms of PT, we get:

TQ = ST/2 = PT

Hence, we have proved that ST = TQ.

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Answer:

13

Step-by-step explanation:

7 + 6 = 13

nvm

guess im wrong

...........

The equation will be 3 y = 2 x + 12 for the graph given.

We are given a graph of the equation.

We need to find the equation of the graph.

Now, first we will see the x and y intercept of the graph.

So, we get that:

x intercept:

( - 6 , 0)

y intercept:

(0 , 4)

Now, we know that equation of the line is given by:

y = a x + b    … (1)

Put the points in the equation:

for (-6 , 0)

0 = - 6 a + b

6 a = b     … (2)

for (0 , 4)

4 = b

Put in (2)

6 a = 4

a = 4 / 6

a = 2 / 3

Put in equation (1):

y = 2 / 3 x + 4

y = ( 2 x + 12 ) / 3

3 y = 2 x + 12

Therefore, we get that, the equation will be 3 y = 2 x + 12 for the graph given.

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Answer:

x2−x−6

Step-by-step explanation:

Answer:

(x-3)(x+2)

Step-by-step explanation:

Answer:

Kami will need 33.6 ounces of ground beef for the recipe

Step-by-step explanation:

From the problem, we know that one person will use up 1.6 ounces of ground beef. We also know that there are 21 people that will be attending the party. Each of those 21 people will definitely use up 1.6 ounces of ground beef.

Hence, for the recipe to be perfect, Kami will have to use 21 X 1.6 ounces  = 33.6 ounces of ground to make the recipe for the entire dinner.

Answer:

+2

Step-by-step explanation:

Answer:

Independent variable: distance

Dependent variable: number of letters recognized on an eye chart

Step-by-step explanation:

Independent variables are stand-alone. This means that it does not depend on another variable but affects the dependent variable.

Dependent variables are dependent on another variable. When the independent variable changes, dependent variables are changed.

Since the hypothesis is that the distance affects the number of letters recognized,

the distance causes a change in the number of letters recognized not the other way around.

Thus, the dependent variable is the number of letters recognized on the eye chart while the independent variable is the distance.

Answer:

x and y

plz mark brainliest

A histogram with a symmetric distribution looks like this:

Leaving aside the quality of the drawing, the left and the right side of the histogram are identical if we split it by the red line. Is like having a reflexion axis.

Now, we have to discuss what of the 2 data sets may have such an histogram. This means that we must think which of them may have the same number of ocurrences for very short and very long durations, for regular to short and regular to long durations, and so on and so furth.

Pop album tracks:

In the same album we may have arround 12 tracks (small number), all of them with a duration of arround 3 minutes. We could imagine a histogram like the following:

All the songs last between 170 and 190 seconds, and one or two last a little bit more.

Phone talks:

In this case, we can think that there are some calls to say something like "mom, I'm on my way home" and other like "let me tell you the hole movie I saw yesterday night", so very short and very long calls, but they are no so common. There are a lot of "regular" calls that might last for 60 seconds.

Also, in this case, we are taking into account all the calls from people in the school in one day (yesterday), so, may be 1.000 calls? The actual number really doesn't matter, but the fact that the number is very big. Because of the big number, we can expect a symmetric distribution.

Answer: 1,2,3,4,5

1a,3b,5c,2d

Step-by-step explanation:

We have shown that sin3A.cos2A - cos3A.sin2A / cos3A.cos2A + sin3A.sin2A = tanA is true for all values of A where the trigonometric functions are defined.

What is trigonometry?

The area of mathematics concerned with how triangles' sides and angles relate to one another as well as with the pertinent uses of any angle.

We can start by using trigonometric identities to simplify the left-hand side of the equation:

sin3A.cos2A - cos3A.sin2A = sin(3A + 2A) - sin(3A - 2A)

(using sum and difference formulae)

= 2 sin5A cosA

cos3A.sin2A = cos(3A - 2A) - cos(3A + 2A)

= -2 sinA cos5A

Substituting these into the original equation, we get:

(2 sin5A cosA) / (cos3A cos2A + sin3A sin2A) - (-2 sinA cos5A) / (cos3A cos2A + sin3A sin2A)

Simplifying further:

2 sin5A cosA + 2 sinA cos5A / (cos3A cos2A + sin3A sin2A)

We can use the identity tanA = sinA / cosA to write this as:

2 sinA cosA (sin4A + cos4A) / (cos3A cos2A + sin3A sin2A)

Using the identity sin2A + cos2A = 1 and rearranging, we get:

2 tanA (1 - sin2A cosA) / (cos2A + sin2A cosA)

= 2 tanA cosA / (cos2A + sin2A cosA)

= 2 sinA / (1 + cosA)

= (2 sinA / (1 + cosA)) * ((1 - cosA) / (1 - cosA))

= 2 sinA (1 - cosA) / (1 - cos^2A)

= 2 sinA (1 - cosA) / sin^2A

= 2 (1 - cosA) / sinA

= 2 sinA / sinA

= 2

Therefore, we have shown that sin3A.cos2A - cos3A.sin2A / cos3A.cos2A + sin3A.sin2A = tanA is true for all values of A where the trigonometric functions are defined.

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Answer:

Multiply 2 polynomials first then multiply the factor with the last binomial if I understood correctly ☺

Step-by-step explanation:

Answer:

Start with two of the three polynomials and distribute across, then take your distributed polynomial and distribute to your final polynomial.

Step-by-step explanation:

(a+b) (c+d) (e+f)

(ac+ad+bc+bd) (e+f)

(ace+acf+ade+adf+bce+bcf+bde+bdf)

Solution:

Given:

To get the central angle, we use the formula for the area of a sector;

Hence, substituting the given values into the formula,

Therefore, the measure of the central angle of the shaded sector is 45 degrees.

By definition. a Translation is a transformation in which a figure is moved a fixed distance in a fixed direction.

The Image is the figure obtained after the transformation and the Pre-Image is the original figure.

In this case, you know that the figure shown in the picture must be translated 5 units up. Therefore, the rule for this transformation is:

You can identify that the marked point on the Pre-Image has the following coordinates:

Therefore, applying the rule for this transformation, you get that the coordinates of the marked point in the final figure, are:

The answer is:

Coordinates of the marked point in the original figure:

Coordinates of the marked point in the final figure:

We have a sample of x=weights with the following data:

• Min = 107

• Q1(x) = 197

• Median(x) = 264

• Q3(x) = 312

• Max(x) = 426

1) The percent of the chicks weight more than 197, this is the value of the Q1. The quartile 1 represent the value of x that the 25% of the sample has a value less o equal to that.

So the percent of chicks that have a weight greater than 197 is 75%.

2) For the weight more than 264, correspond to the Median, so the 50% of sample has a weight lower or equal 264, and the other 50% has a weight greater or equal to 264.

So, the percent is 50%.

3) The weight of 312 correspond with Q3, so the 75% of the sample has a weight less or equal to 312, and the other 35% has a weight greater than 312.

So, the percent is 25%.

4) The weigth are the percentil Q1 and Q3, respectively. So the percent of chicks that have a weigth between 197 and 312 is 75%-25% = 50%