Consider
the situation where there is absolutely no variability in
Y.
(a)
What would be the standard deviation of Y?
(b)
What would be the covariance between X and Y?
(c)
What would be the Pearson

Answer:

D

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × \(\frac{80}{360}\)

   = π × 0.9² × \(\frac{8}{36}\)

   = 0.81π × \(\frac{2}{9}\)

   = 0.09π × 2

   = 0.18π in² → D

Answer:

x2

Step-by-step explanation:

In 5x, 5 is a constant and therefore if we double x we will double 5 too.

Answer: False

Step-by-step explanation:

you can have 3 lines that are parallel and them not be coplanar

Answer:

slope = -4

Step-by-step explanation:

(y - y1)/(x -x1)

= ( 0 -8)/(5-3)

= -4

Answer:

-4

Step-by-step explanation:

Slope = \(\frac{y_{2} - y_1 }{x_2-x_1}\)

Let (3,8) be \((x_{2},y_2 )\) and (5,0) be \((x_1,y_1)\)

Now we can solve using the slope formula!

\(\frac{8-0}{3-5} = \frac{8}{-2} = -4\)

The slope is -4

Hope this helps :)

Have a great day!

The midpoint of a class is indeed calculated by adding the lower and upper limits of the class and then dividing the sum by two. The statement is true.

This concept is commonly used in statistics and data analysis.

In statistical data, classes are often created to group data points within a range. Each class has a lower limit and an upper limit, defining the range of values it encompasses. The midpoint is a representative value within the class that provides a measure of its central tendency.

To calculate the midpoint, the lower and upper limits of the class are added together, resulting in the total range of the class. Dividing this sum by two gives the midpoint. It is important to note that the midpoint is not necessarily an actual data point; rather, it is a statistical measure used to represent the central value within a class.

For example, suppose we have a class with a lower limit of 10 and an upper limit of 20. Adding these values gives us 30, and dividing by two yields a midpoint of 15. This means that, for the purposes of analysis, we can consider the midpoint of the class as 15.

By calculating midpoints for each class in a data set, statisticians can summarize and analyze data in a more manageable and meaningful way. Midpoints help provide a sense of the central tendencies and distributions within the data, facilitating further statistical analysis and interpretation.

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At 10am, you would expect to see 350 tourists waiting to get on a tour-bus at the rose-garden. At 1:30pm, you would expect to see 650 tourists waiting, and at 5:45pm, you would expect to see 700 tourists waiting.

Let's consider the arrival and departure rates of tourists throughout the day. From 8am to noon, tourists arrive at a rate of 450 passengers per hour, while the tour-bus system can pick up tourists at a rate of 800 passengers per hour. This means that during this time, the tour-bus system can accommodate all arriving tourists, resulting in no waiting time. At 10am, two hours have passed since the start of the tour, and assuming each tour takes 2 hours, the first bus that started at 8am would have returned to the rose-garden. Hence, the number of tourists waiting at 10am would be 450 (arrival rate) - 800 (departure rate) = 350. Similarly, from noon to 2pm, tourists arrive at a rate of 1000 passengers per hour, and the tour-bus system can pick up tourists at a rate of 800 passengers per hour. This means that there is a waiting time for tourists during this period. At 1:30pm, three and a half hours have passed since the start of the tour, and assuming each tour takes 2 hours, one bus would have returned to the rose-garden, resulting in 800 passengers being picked up. Hence, the number of tourists waiting at 1:30pm would be 1000 (arrival rate) - 800 (departure rate) = 200, in addition to those who were waiting from the previous hours. Finally, from 2pm until 8pm, passengers arrive at a rate of 700 per hour, while the tour-bus system can pick up tourists at a rate of 800 per hour. This means that during this time, the tour-bus system can accommodate all arriving tourists, resulting in no waiting time. At 5:45pm, nine hours and forty-five minutes have passed since the start of the tour, and assuming each tour takes 2 hours, four buses would have returned to the rose-garden, resulting in 3200 passengers being picked up. Hence, the number of tourists waiting at 5:45pm would be 700 (arrival rate) - 3200 (departure rate) = 0, indicating no tourists waiting at that time.

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Answer:

um with what plz tell for I can help you

Answer:

D

Step-by-step explanation:

Answer:

x+6=y and 3x=12

Step-by-step explanation:

Let x be the distance traveled by Bryan and let y be the distance traveled by Sam then the first equation would be:

x+6=y (x plus 6 is equal to y, Bryan's distance plus 6 is equal to Sam's distance) and the second one is:

3x=12 (3 times x is 12, 3 times the distance travelled by Bryan is 12)

So our statements/equations are:

x+6=y and

3x=12 (we dont write this as x=4 as it asks us to give the statements we got from the information given, we only start simplifying once it tells us to solve)

A check or quadrangle is defined by the intersection of pairs of diagonals of a parallelogram.

A parallelogram is a quadrilateral with two pairs of parallel sides. In a parallelogram, the opposite sides are parallel and have the same length. The opposite angles of a parallelogram are equal. A parallelogram is a unique type of quadrilateral with specific characteristics.

A quadrangle or check is defined as the intersection of pairs of diagonals of a parallelogram. In other words, it is the area inside the parallelogram that is divided into four triangles, each of which shares a common vertex in the center of the parallelogram.

The diagonals of a parallelogram are the line segments that connect the opposite vertices of a parallelogram. When these diagonals intersect, they form four triangles, which are also known as the parallelogram's "sub-triangles." The point where the diagonals intersect is called the center of the parallelogram, and it divides each diagonal into two equal parts.

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I can't see them clearly....

Answer: It is 0.7

Step-by-step explanation: Seven tenths is the first digit on the right of the decimal. Hope this helped! If you need anymore help or further explanation I will be glad to help!

The product(s) of an acid-base mechanism depend on the specific reactants involved. Without knowing the reactants, it is not possible to provide a definitive answer.

However, in general, acid-base reactions involve the transfer of a proton (H+) from an acid to a base, resulting in the formation of a conjugate acid and a conjugate base. The conjugate acid is formed by the acceptance of the proton, while the conjugate base is formed by the donation of the proton.

It is important to note that without specific reactants, it is impossible to determine the exact products of an acid-base mechanism. The nature of the reactants and their acid-base properties determine the specific products formed in a given reaction.

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Answer:

(49x + 18) + 49y

Step-by-step explanation:

you woud place the variable (letter) representing the number of weeks they worked by the amount they get paid each week then, you would add to whoever gets an extra amount of money, the y - intercept or in this case the extra 18 dollars one of them gets paid to whoever got paid that amount of extra money. :)

Answer:

C( 49x + 18 + 49y)

Step-by-step explanation: I GOT 100% ON MY TEST

Answer: 67

Step-by-step explanation:

We see a pattern where we multiply the number we added by previously by two.

For example, from 5 to 7, it is 2.

From 7 to 11, we add by 4.

From 11 to 19, we add by 8.

From 19 to 35, we add by 16.

This means the next number would be 32, adding 35 by 32 gives us 67,

Answer:

Time, t = 0.1143 seconds.

Step-by-step explanation:

Given that distance, d = 14m

From the equation;

d = 10 + 40t - 5t

d = 10 + 35t

Substituting the value of distance;

14 = 10 + 35t

35t = 14 - 10

35t = 4

t = 4/35

t = 0.1143 seconds.

The time needed for the ball to reach the 14-m distance is 0.1143 seconds.

The thrown ball will reach a 14-m distance after 0.114 seconds.

The relation given is:

d = 10+40t-5t

where, d = 14

In this case, we've to put the value of d into the relation and this will be:

d = 10+40t-5t

14 = 10 + 40t - 5t

Collect like terms

40t - 5t = 14 - 10

35t = 4

Divide both side by 35

35t/35 = 4/35

t = 0.114 seconds.

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c). 0.060±0.018. is the correct option. The 90% large-sample confidence interval for the difference p 9 −p 12 in the proportions of ninth- and 12 thgraders who ate breakfast daily is about 0.060±0.018.

We are given a confidence interval of 90% for the difference in proportion p9 −p12 of ninth and 12th graders who eat breakfast daily.

We need to find out which of the options is the correct interval.

(a) 0.060±0.011 (b) 0.060±0.013. (c) 0.060±0.018.

The formula for the confidence interval for the difference in proportions p9 − p12 is given by;

$$\left(p_9 - p_{12}\right) \pm Z_{\alpha/2}\sqrt{\frac{p_9(1 - p_9)}{n_9} + \frac{p_{12}(1 - p_{12})}{n_{12}}}$$

Where; $$\alpha = 1 - 0.90 = 0.10, Z_{\alpha/2} = Z_{0.05} = 1.645$$

Now we substitute the given values into the formula to find the interval; $$\begin{aligned} \left(p_9 - p_{12}\right) \pm Z_{\alpha/2}\sqrt{\frac{p_9(1 - p_9)}{n_9} + \frac{p_{12}(1 - p_{12})}{n_{12}}} &= 0.060 \pm 1.645 \sqrt{\frac{(0.21)(0.79)}{568} + \frac{(0.31)(0.69)}{506}}\\ &= 0.060 \pm 0.0174\\ &= \left[0.0426, 0.0774\right] \end{aligned}$$

Therefore, the correct option is (c) 0.060±0.018.

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Answer:

Beau buys 7 kg of chicken for $45.50. Helen buys 10 lbs of chicken for $32.50:

To compare the prices of the chicken that Beau and Helen bought, we need to convert both measurements into the same unit. Since 1 kg = 2.20462 lbs, we can convert Beau's chicken into pounds.

7 kg x 2.20462 lbs/kg = 15.43 lb

So Beau bought 15.43 lbs of chicken for $45.50, meaning he paid:

$45.50 / 15.43 lbs = $2.95/lb

We can now compare this price to the price Helen paid for her chicken:

$32.50 / 10 lbs = $3.25/lb

So, Helen paid a higher price per pound of chicken.

Anne burns 150 calories playing 20 minutes of soccer. In 45 minutes of playing double tennis, Anne burns 306 calories:

To calculate the number of calories Anne burns per minute playing soccer and double tennis, we can divide the total number of calories burned by the time spent playing each sport:

Soccer: 150 calories / 20 minutes = 7.5 calories/minute

Double Tennis: 306 calories / 45 minutes = 6.8 calories/minute

So Anne burns slightly more calories per minute playing double tennis than she does playing soccer.

Jennifer took 40 minutes to ride her bike home from school. The distance from her house to school is 10 kilometers. If her speed remained consistent, how long did it take her to ride 8 kilometers:

To find out how long it would take Jennifer to ride 8 kilometers, we can use the formula:

time = distance / speed

We know that Jennifer's speed remained constant, so we can find her speed by dividing the distance she rode by the time it took her to do so:

speed = distance / time = 10 km / 40 minutes = 0.25 km/minute

We can now use this speed to calculate the time it would take Jennifer to ride 8 kilometers:

time = distance / speed = 8 km / 0.25 km/minute = 32 minutes

So it would take Jennifer 32 minutes to ride 8 kilometers at her constant speed.

Step-by-step explanation:

Answer:

For the first 3 questions, fill out exactly what you see in the picture. So, the first answer is \(9\sqrt{2}\), the second one is x, and the third one is y. Now, since we know this is a 45 - 45 - 90 triangle, we can figure out all of the other sides. AB is the same as AC, so your answer for the fourth one question will be \(9\sqrt{2}\). The hypotenuse in a 45 - 45 - 90 triangle is a side times \(\sqrt{2}\), so your last answer will be \((9\sqrt{2})(\sqrt{2}) = 18\).

Number 5

So for the difference of perfect squares factor with the numbers on both factors having to be the same, but one adds and one subtracts.

None equation describe equation of circle with radius 9 units.

Explanation:

The standard equation of circle is,

                   \((x-h)^{2} +(y-k)^{2} =r^{2}\)

Where \((h,k)\) is center of circle and r represent radius of circle.

here , radius is 9 units

So,  Equation of circle,  \((x-h)^{2} +(y-k)^{2} =9^{2}\\\\(x-h)^{2} +(y-k)^{2} =81\)

Here, center \((h,k)\) is not given.

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The lowest point should be used for measurement. To acquire a correct reading, students must read the meniscus at eye level. In order to read the meniscus at eye level, students need first set the graduated cylinder on the table and then stoop.

A measuring cylinder, often referred to as a graded cylinder, a cylinder measuring cylinder, or a mixing cylinder, is a piece of lab apparatus used to gauge the quantity of fluids, chemicals, or solutions used during a typical lab session. Compared to common laboratory flasks and beakers, graduated cylinders offer higher precision and accuracy. The graduated cylinder is a scientific tool that employs the metric system rather than the American standard system, so measurements are made in millilitres rather than ounces. The volume of an object or quantity of liquid is measured using a graduated cylinder, a common piece of laboratory glassware. It is a glass cylinder with side markings resembling those on a measuring cup, as its name suggests.

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The arc length of the curve is L= π^2/8

In order to get the length of the arc's curved line, an arc length formula is used (a segment of a circle). The arc length is the length of the circle's curved line, which can be expressed as a distance through the curve.

To find arc length of the curve on the given interval

X= sin t-cos t   y= cos t +t sin t

0≤ t ≤ π/2

On differentiating x and y w.r.t  t

dx/dt = cos t - [cos t+t (-sin t)]= cos t – cost + t sin t

dy/dt = sin t + [t cos t+sin t]= sin t+ sin t+ t cos t

So we have

dy/dt = t cost          and       dx/dt= t sin t

Arc length for parametric equation is given by

L= ∫_0^(π/2)▒〖√((〖dx/dt)〗^2+(〖dy/dt)〗^2  )  〗  dt

L= ∫_0^(π/2)▒〖√((t^2 〖cos〗^2 t+t^2 〖sin〗^2 t) )  〗 dt

L= ∫_0^(π/2)▒t  dt

L= [t^2/2]  (π/2)¦0 = π^2/4*1/2

L= π^2/8

Therefore the arc length of the curve is L= π^2/8

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The amount initially saved by Alberto is A = $ 280.80

Given data,

Alberto spent 2/5 of his savings on a new bike.

Now , the cost of the bike is $ 112.32

So, let the original amount of Alberto's savings is represented by "x".

Alberto spent 2/5 of his savings on the bike, which is equal to $112.32.

Therefore, we can set up the equation:

(2/5) * x = $112.32

To solve for x, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:

x = ($112.32) * (5/2)

x = $280.80

So, the value of x is $280.80

Hence, the original amount in Alberto's savings was $280.80

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Answer:

33

Step-by-step explanation:

g(x) = 2x² + 1

g(-4) = 2(-4)² + 1

= 2(16) + 1

= 33

Answer:

im not exactly sure what ur looking for but your answer might be \(\:f\left(x\right)=4\) or \(-2<x<3\) fo #1 and #2 might be \(f\left(x\right)=-5\) or \(-1<x<1\) but not positive sooo

Step-by-step explanation:

hope this helps :)

Answer:

x = -9

Step-by-step explanation:

2x + 8( x + 3 ) = 3( x - 13 )

Dstribute;

2x + 8 ( x + 3 ) = 3 ( x - 13 )

2x + ((8)(x)) + ((8)(3)) = ((3)(x)) - ((13)(3))

2x + 8x + 24 = 3x - 39

Combine like terms;

2x + 8x + 24 = 3x - 39

10x + 24 = 3x - 39

Inverse operations;

10x + 24 = 3x - 39

-3x            -3x

7x + 24 = -39

     -24     -24

7x = - 63

/7       /7

x = -9

Answer:

i guess it is "All 4 angles are congruent " it is the statement which is false.

because " The opposite sides of a parallelogram are equal in measurement and they are parallel to each other. "

Hope it Helps!!!

Answer: Y=0x+b

Step-by-step explanation:

Y=mx+b is what we need to set it to.

Since we already know the slope, we can go ahead and find the y-intercept to complete the equation

(-7,2), here -7 is the x and 2 is the y value

y=mx+b

plug all the known information now and solve for b (y-intercept)

y is 2, m (slope) is 0, x is -7

2=0(-7)+b

2=0+b

2=b

y=0x+2 or simply y=2

Answer:

y = 2

Step-by-step explanation:

The line is a horizontal line thru (-7, 2)

Equation:  y = 2