I need help with 7,10,8,and 9 it says to find the area of each shaded sector. Round to the hundredth place. Please help!

The distance between the points Q and R is 7.211 units.

In geometry, an ellipse is a two-dimensional shape, that is defined along its axes. An ellipse is formed when a cone is intersected by a plane at an angle with respect to its base. It has two focal points.

Given an equation of ellipse x²/8+y²/18 =1, a line 2y = 3x intersect the ellipse at points Q and R,

x²/8+y²/18 =1........ (i)

2y = 3x....... (ii)

Use eq 2 in 1, we get

x²/8+(3x/2)²/18 = 1

On solving,  we get,

x²/4 = 1

x = ±2

And,

(2y/3)²/8+y²/18 = 1

On solving, we get,

y = ±3

Therefore, we got, y1 = 3, y2 = -3, x1 = 2 and x2 = -2

Using the distance formula, D = √(x1-x2)²+(y2-y1)²

QR = √(-2-2)²+(-3-3)² =  7.211

|QR| = 7.211

Hence, The distance between the points Q and R is 7.211 units.

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The corrected two-way table will show that there were 60 people who liked dramas and out of them, 25 people bought popcorn and 35 people didn't buy Popcorn.

Natalia conducted a survey of 150 people regarding their movie preferences and popcorn purchasing habits, and she has prepared the following two-way table: Popcorn PurchasesYesNoTotalComedy7530 90Drama252550 60

Total10040150She has made a mistake in her two-way table while creating the table of Drama. In the table, the Drama section is showing that out of 60 people, 25 bought popcorn and 25 didn't buy popcorn. But, in the previous sentence, it is given that there are 60 people who like dramas.

So, the total number of people who like dramas should be 60 rather than 50. Therefore, Natalia's mistake is that she has entered 50 in the total Drama row instead of 60.

So, we need to correct this error.  After correcting her mistake, the two-way table will look like:Popcorn PurchasesYesNoTotalComedy7530 90Drama253550 60Total10040150

Hence, the corrected two-way table will show that there were 60 people who liked dramas and out of them, 25 people bought popcorn and 35 people didn't buy popcorn.

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The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.

A line segment in mathematics has two different points on it that define its boundaries.

A line segment is sometimes referred to as a section of a path that joins two places.

Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.

A line graph with Distance, in yards, on the x-axis and Age of the Runner on the y-axis. The x-axis has a scale from 0 to 80 in increments of 10. The y-axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6, and 60, 6 is drawn.

The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.

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Answer:

the correct option is D

Step-by-step explanation:

Answer: The last option. X is greater than or equal to -3

Step-by-step explanation:

If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).

Answer:

Step-by-step explanation:

Remember that the sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.

The side opposite the 30° angle is 6, so the side opposite the 60° angle is 6√3 and the side opposite the 90° angle is 12.

x = 6√3

y = 12

The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.

The correct option to the given question is option d.

We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.

To find the joint relative frequency, we use the formula as follows:

Joint relative frequency = frequency of interest / total frequency

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96

(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375

Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).

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Answer:

2 is really answer it is this question bro than ka for good point

Step-by-step explanation:

hello shreekant thanks 886A bubs 2 is answr

Solution,

16.87+(-98.35)

=16.87-98.35

= -81.48

Hope it helps

Good luck on your assignment

Answer:-81.48

Step-by-step explanation:

16.87 + (–98.35)

-81.48

If you stumble in other questions like there you can use a calculator or ask me. :D hope that helps

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders

This means that \(p = 0.09\)

41 people arrested for DUI in Illinois are selected at random.

This means that \(n = 41\)

a. What is the probability that exactly 3 people are repeat offenders?

This is P(X = 3).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158\)

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 1. So

\(P(X = 0) + P(X \geq 1) = 1\)

We want \(P(X \geq 1)\).

Then

\(P(X \geq 1) = 1 - P(X = 0)\)

In which

\(P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209\)

\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791\)

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

\(E(X) = np = 41*0.09 = 3.69\)

d. What is the standard deviation of the number of repeat offenders?

\(\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83\)

The solution is: Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1, the following functions is graphed below.

Option C is correct.

Explanation:

We are given a graph of piece-wise function which break at x=1

We need to choose correct option for graph.

Function is break at x=1.

We will get two function

For x≤1 and x>1

As we can see x≤1, graph is linear and x>1 graph is parabolic.

Equation of linear graph, x≤1

Take two point of graph (0,6) and (-6,0)

Equation of line:

y-y1/y2-y1 = x-x1/x2-x1

y = x+1

f(x)=x+6 , x≤1

Equation of parabolic graph, x>1

f(x) = x^2 + 3

Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1

Please see the attached figure.

Hence, The option C is correct.

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Answer:

y=2x+7

Step-by-step explanation:

your making y the subject

put 2x over the other side of the equal sign

then change it from a negative to a positive

Answer:

i'll try to help you as much as i can

1) 11/10

2) 1/2

3) 9/16

4) 7/8

im awfully sorry but thats all i know

The sixth term of the geometric sequence is 2048.

The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.

The formula for the nth term (an) of a geometric sequence is given by:

an = a1 * r^(n-1)

where a1 is the first term and r is the common ratio.

For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:

an = 2 * 4^(n-1)

To find a6, we substitute n = 6 into the formula:

a6 = 2 * 4^(6-1)

  = 2 * 4^5

  = 2 * 1024

  = 2048

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The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

Then find a6. Round to the nearest tenth if necessary.

a = 5×4 X

a1 = n-1 X

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

{35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99)  

There are scores of 20 students. Each score is equivalent of 100%/20 = 5%

The easy way to understand Mateo' s place is to compare scores against 5% slots.

See attached.

We can also get the average score

Sum

Average or mean score:

This is matching the 50% score.

As we see Mateo scored 82 which is matching 55%.

Correct option is d.

Answer:

The  95% confidence interval is  \(244.26 < \mu < 246.95\)  

The pivot function used is  

           \(t = \frac{\=x - \mu}{ \frac{\sigma}{\sqrt{n} } }\)

Step-by-step explanation:

From the question we are told that

  The  data given is 246 242 248 245 250 244 252 248 248 247 250 248 246 242 248 244 245 246 250 242

  The  sample  size is  \(n= 20\)

Given that the confidence level is 95% then the level of significance is

      \(\alpha = (100 - 95)\%\)

      \(\alpha = 0.05\)

The  degree of freedom is mathematically represented as

    \(df = 20 -1\)

    \(df = 19\)

From the student t-distribution table  the critical value of  \(\frac{\alpha }{2}\)  is  

          \(t_{\frac{\alpha }{2} , 19 } = 2.093\)

The mean is mathematically represented as

          \(\= x = \frac{\sum x_i}{ n}\)

         \(\= x = \frac{246+ 242 +248+245+ 250+ 244+252+ 248 +248 +247+ 250+ 248+ 246+ 242 +248 +244 +245 +246+ 250+ 242}{20}\)\(\= x = 246.6\)

The standard deviation is mathematically represented as

            \(\sigma = \sqrt{\frac{\sum (x_i - \= x )^2)}{n} }\)

           \(\sigma = \sqrt{\frac{(246- 246.6)^2 +(242- 246.6)^2 +(248- 246.6)^2 + (248- 245)^2+}{20} } \ ..\)

             \(\ ...\sqrt{\frac{(250-246.6 )^2+ (244- 246.6)^2+(252- 246.6)^2+ (248- 246.6)^2+ (248- 246.6)^2+}{20} } \ ...\)

              \(\ ..\sqrt{\frac{(247- 246.6)^2+ (250- 246.6)^2+ (248-246.6)^2+ (246-246.6)^2+ (242-246.6)^2+ (248-246.6)^2+ (244-246.6)^2+}{20} } \ ...\)       \(\sqrt{\frac{ (245-246.6)^2+ (246-246.6)^2+ ( 246-246.6)^2 + ( 250-246.6)^2+ ( 242-246.6)^2 +( 246-246.6)^2+ ( 242-246.6)^2 }{20} }\)\(\sigma = 2.87411\)

The margin of error is mathematically represented as

       \(E = t_{\frac{\alpha }{2} , 19} * \frac{\sigma }{\sqrt{n} }\)

      \(E = 2.093 * \frac{2.87411 }{\sqrt{20} }\)

      \(E = 1.345\)

The 95% confidence interval is mathematically represented as

       \(\= x - E < \mu < \= x + E\)

=>   \(245.6 - 1.345 < \mu <245.6 + 1.345\)

=>    \(244.26 < \mu < 246.95\)  

The pivot function used is  

           \(t = \frac{\=x - \mu}{ \frac{\sigma}{\sqrt{n} } }\)

A box-and-whisker plot shows the five-number summary of the data set, including the minimum value (3), first quartile (12), median (15), third quartile (16), and maximum value (19).

We know that the interquartile range is the third quartile minus the first quartile. The third quartile of the water pressure complaint data set is 16 and the interquartile range is 4, so the first quartile can be found by subtracting 4 from 16, which is 12.

The minimum value (3) is represented by the left end of the left whisker, the first quartile (12) is represented by the left edge of the box, the median (15) is represented by the line in the middle of the box, the third quartile (16) is represented by the right edge of the box, and the maximum value (19) is represented by the right end of the right whisker.

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Answer:

The answer is A

Step-by-step explanation:

We can notice the triangle on the square, hypotenuse is 8m and the base is half of the lengt of the square we will name it x

then

we can use pythagoras to solve

where a and b aer sides of the triangle and h the hypotenuse

replacing

the length of x is half of the side of the square then the side of the square is

each side of the square is 8v2 meters

Area

we use formula of the area

area of the square is 128 square meters

Perimeter

we use formula of the perimeter

perimeter of the square is 32v2 meters

Vertex: (1, -36); intercepts: x = 7, -5 (option D)

Given:

To find:

the vertex and the x-intercepts

i) Vertex is given as (h, k). To determine the vertex, we will apply the formula:

Vertex (h, k): (1, -36)

ii) x-intercept is the value of x when y = 0. To determine x-intercept, we will substitute y with 0. Then solve for x

Answer:

27.5 years old

Step-by-step explanation:

We are given the formula: \(P=0.006A^{2} -0.02A+120\) relating a patient's pressure to age.

We are also given the value for pressure (P) as 124 mmHg and need to find age (A). In order to do this, we can substitute the value 124 for P in the equation and solve the quadratic equation to obtain A:

\(124=0.006A^{2} -0.02A+120\)

1. Set equation to 0 by subtracting 124 from both sides:

\(124-124=0.006A^{2} -0.02A+120-124\\= > 0.006A^{2} -0.02A-4=0\)

2. Solve equation using a calculator:

It should give the solutions: \(A= 27.54, -24.2\)

It doesn't really make sense for someone's age to be negative, therefore we can accept the positive solution as our answer.

The man whose normal blood pressure measures 124 mmHg is 27.5 years old.

Hope this helped!

The value of the tax for the meal is $1.05.

The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.

Depending on the regulations in that country, a business may be responsible for sales taxes in that jurisdiction if it has a presence there, which can be a physical site, an employee, or an associate.

Given the  cost of the meal = $15.00

and rate of tax = 7%

converting the rate of tax into decimal form,

rate of tax = 7% = 7/100

rate of tax = 0.07

amount of tax = cost x rate of tax

amount of tax = 15 x 0.07

amount of tax = $1.05

Hence the amount of tax is $1.05.

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Answer:

7.9

Step-by-step explanation:

To round to 1 decimal place, you are rounding to the nearest tenth, which is the place where the 8 is.

Step 1: drop every digit to the right of the 8. You get 7.8

Step 2: now look at the first digit that was to the right of 8. It is a 6. Since 6 is 5 or greater, the 8 goes up 1 to 9. The answer is 7.9

Answer: 7.9

Answer:

8.000, 7.900, or 7.860.

Step-by-step explanation:

I rounded for each number, and the reason why there's only 3 is because ones place and tens place round to the same number.

The value of f(9) is 7 and fg(-3) is 11/2.

A relation is a function if it has only One y-value for each x-value.

The given functions are f(x)=1/3x +4

g(x)=3x/x+1

We need to find the value of f(9) and fg(-3)

To find f(9), plug in x as 9 is f(x)

f(9)=1/3×9+4

f(9)=7

Now fg(-3)=f(-9/-2)

=f(9/2)

=1/3×9/2+4

=3/2+4

=11/2

Hence, the value of f(9) is 7 and fg(-3) is 11/2.

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Answer:

A) \(x=-1\pm\sqrt{\frac{13}{6}}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)

Answer:

3.6 x 10^3

Step-by-step explanation:

Answer:

  AB ≈ 5.39

Step-by-step explanation:

If you draw a line down from A, and another line left from B, the lines will intersect to form a right triangle with AB as the hypotenuse. You can use the Pythagorean theorem to find the length AB.

The vertical leg is 2 grid squares (units) long. The horizontal leg is 5 grid squares (units) long.

Then the hypotenuse, AB, is ...

  AB = √(2² +5²) = √(4 +25) = √29

  AB ≈ 5.39

The length of AB is about 5.39 units.

Answer:

4 1/2 cups of flour

4 1/2 tablespoons baking powder

4 1/2 teaspoon salt

4 1/2 eggs

5 cups of milk

5 cups of blueberries

Step-by-step explanation: