The mean of a curriculum committee is 34.8 years. A 15-year-old student representative is added to the committee. How does the student’s age affect the mean?

A.) The new mean age will be less than 34.8

B.) The new mean age will be greater than 34.8

C.) The new mean age will still be 34.8

D.) The new mean age will be 24.9

Answers

Answer 1

Since we don't know how many people are on the committee, we can only say ...
A.) The new mean age will be less than 34.8

_____
Any new members whose age is less than the mean will reduce the mean. Any new members whose age is greater than the mean will increase the mean.

Answer 2

Answer:

The correct option is A. The new mean age will be less than 34.8

Step-by-step explanation:

The mean of a curriculum committee is 34.8 years

Now, A 15-year-old student representative is added to the committee

Number of students in the curriculum committee is not known so if a student of 15 year age is added into the society we cannot find the exact new mean of the curriculum committee.

But, As the 15 is added to the sum of all observations but only 1 is added to the number of observations

So, The mean of the curriculum committee will obviously decrease

Since, Th mean of the curriculum committee is 34.8

Therefore, the new mean of the curriculum committee will be less than 34.8

Hence, The correct option is A. The new mean age will be less than 34.8

Related Questions

Which of the following graphs shows a negative linear relationship with a correlation coefficient, r, relatively close to -1

Answers

Graph B is the correct answer as of July 2018

The graph that shows a negative linear relationship that has a correlation coefficient, r, that is closer to -1 is: B. graph B.

What is a Negative Linear Relationship Graph?

A graph that shows a negative linear relationship has a trendline that slopes downwards from your left to the right.

The closer the data points are to each other along the trendline in a negative linear graph, the closer the correlation coefficient, r, is to -1.

Therefore, the graph that shows a negative linear relationship and has a correlation coefficient, r, that is closer to -1 is: B. graph B.

Learn more about negative linear relationship graph on:

https://brainly.com/question/17088993

#SPJ2

hey can you please help me posted picture of question

Answers

The parent function of the shown graph is option C
y = x³

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answers

Hello!

The formula for the area of a sector can be written as follows:

Area = [tex] \frac{1}{2} [/tex][tex]r^{2} [/tex](R)

In the above formula, “r” represents the radius while “R” represents the radian measure of a sector. The radius is given to us in the image above as 10 inches. However, we still need the radian measure of the two sectors. To find this measure, we can use the following conversion:

1 degree = [tex] \frac{pi}{180} [/tex] radians

Because the two sectors have a given measure of 72 degrees, we need to multiply both sides of the above conversion by 72:

72 degrees = [tex] \frac{72pi}{180} [/tex]

Reduce the fraction on the right side of the equation:

72 degrees = [tex] \frac{2pi}{5} [/tex]

We now have the radian measure of both sectors. Now simply insert this and any other known values into the “area of a sector” formula above:

Area = [tex] \frac{1}{2} [/tex][tex]10^{2} [/tex]([tex] \frac{2pi}{5} [/tex])

Simplify the right side of the equation to get the following answer:

Area = 20 pi

We have now proven that the area of one sector is equal to 20 pi.

If, however, you need the combined area of the two identical sectors, simply multiply the proven area by 2 to get a total area of 40 pi.

I hope this helps!

Answer: 40 pi

Step-by-step explanation:

Use right triangle DCB to find the trig values for angle D.

sinD =

cosD =

tanD =

Answers

sin D= opp./hyp. = 35/37
cos D= adj./hyp. = 12/37
tan D= opp./ adj. = 35/12

Answer: sinD = 0. 9459

cosD =0. 3243 tanD=2. 917

Step-by-step explanation:

From the figure above;

opposite = 35

adjacent = 12

hypotenuse = 37

sin D = opposite/hypotenuse

sinD = 35/37 = 0. 9459

cosD = adjacent/hypotenuse

= 12/37 = 0. 3243

tanD = adjacent/opposite

= 35/12 = 2. 9167

hey can you please help me posted picture of question

Answers

im sure that it is A. i hope this helps you and you make a great grade on your test

Answer:
The solutions are: 1 + 6i and 1 - 6i

Explanation:
The general form of the quadratic equation is:
ax² + bx + c = 0

The given equation is:
x² - 2x + 37 = 0

By comparison:
a = 1
b = -2
c = 37

Now, to get the solutions of the equation, we will use the quadratic formula shown in the attached image.

By substitution in this formula, we would find that:
either x = [tex] \frac{2+ \sqrt{(-2)^2-4(1)(37)} }{2(1)} = 1 + 6i[/tex]

or x = [tex] \frac{2- \sqrt{(-2)^2-4(1)(37)} }{2(1)} = 1 - 6i[/tex]

Hope this helps :)

Explain how you can use a model to find 4x 3/8

Answers

4 rectangles split it on 8 part then shade 3 of the 8 parts, them count every rectangle shades and add the all together, you will get 12/8, is the same if you multiply 4*3/8 you will get 12/8 simplified is 1/2!

Miles had a piece of paper 1/4 of a large circle cut in three equal parts from the center point of the circle. What angle is the measure of each part?

Answers

The angle of 1/4 of a circle is given by:
(1/4) * (360) = 90 degrees
We now look for the angle that results from dividing 1/4 of a circle into three equal parts.
We have then:
(1/3) * (90) = 30 degrees.
Answer:
the measure of each part is:
30 degrees

The measure of the each part of the large circle is 90 degrees.

What is the measue of each part?

A circle is a bounded figure which points from its center to its circumference is equidistant. The sum of angles in a circle is 360 degrees.

Measure of the angle of each part = 1/4 x 360 = 90 degrees

To learn more about a circle, please check: https://brainly.com/question/14351152

Heather and Joel bought a house for $157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation y = 150000(1.004)12t How much will their house be worth in 8 years?

Answers

We have to find value of the house in 8 years so we will plug t=8 years in given equation.

[tex] y=150000(1.004)^{\left(12t\right)} [/tex]

[tex] y=150000(1.004)^{\left(12*8\right)} [/tex]

[tex] y=150000(1.004)^{96} [/tex]

[tex] y=150000(1.46702133432) [/tex]

[tex] y=220053.200148 [/tex]

Hence house will worth approx $220053.20 in 8 years.

Solution:

Equation of the appreciation of the value of house is given by:-

[tex]y=150000(1.004)^{12t}[/tex]

We need to find the worth of the house after 8 years

So, that means time, t=8

Let us plug t=8 in the equation [tex]y=150000(1.004)^{12t}[/tex]

So, we get,

[tex]y=150000(1.004)^{12*(8)}[/tex]

[tex]y=150000(1.004)^{96}[/tex]

[tex]y=150000(1.467021)[/tex]

y=150000*1.467021

y=220053.20

In 8 years the value appreciates to $220053.20, that s, worth of house after 8 years=$22005320

The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 15 minutes. what is the probability that washing dishes tonight will take me between 11 and 13 minutes?

Answers

12 min 12 min 12 min 12 min

Write the quotient as a mixed number. 33 ÷ 5 = 6 R2

Answers

A mixed number is a number with an integer and proper fraction.

33 / 5 = 6 R3 which is equal to 6 and 3/5

Find the area of the parallelogram with vertices at (−2,3),(−2,3), (6,14),(6,14), (−14,1),(−14,1), and (−6,12).(−6,12).

Answers

C is your answer your welcome

Find the relative rate of change of the function f(x)=150-0.08x^2

Answers

Relative change of a function is given by it's first derivative:
The relative rate of change will be given by:
f(x)=150-0.08x^2
the first derivative is given by:
f'(x)=-0.16x
thus the answer is:
f'(x)=-0.16x

Sally has x books that weigh 2 pounds each and 8 books that weigh 3 pounds each. the total weight of her books is 62 pounds. which equation below could be used to find how many 2-pound books sally has?

Answers

if Sally has x books that are 2 pounds then her x books weights a total of 2x lbs.

8 books of 3 lbs weights 8*3=24lbs

All them add up to 62, therefore we can conclude to the equation :
2x+24=62
or we can simplify to
2x=38
or even
x=19

Circle 1 is centered at (-4, 5) and has a radius of 2 centimeters. Circle 2 is centered at (2, 1) and has a radius of 6 centimeters. What transformations can be applied to circle 1 to prove that the circles are similar? The circles are similar because you can translate circle 1 using the transformation rule ( x, x) and then dilate it using a scale factor of ( ).

Answers

we know that
Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.
In this problem to prove circle 1 and circle 2 are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.

we have that

Circle 1 is centered at (-4, 5) and has a radius of 2 centimeters
Circle 2 is centered at (2, 1) and has a radius of 6 centimeters

step 1
Move the center of the circle 1 onto the center of the circle 2
the transformation has the following rule
(x,y)--------> (x+6,y-4)
so
(-4,5)------> (-4+6,5-4)-----> (2,1)
so
center circle 1 is now equal to center circle 2
The circles are now concentric (they have the same center)

step 2
A dilation is needed to increase the size of circle 1 to coincide with circle 2

scale factor=radius circle 2/radius circle 1-----> 6/2----> 3

radius circle 1 will be=2*scale factor-----> 2*3-----> 6 cm
radius circle 1 is now equal to radius circle 2

A translation, followed by a dilation will map one circle onto the other, thus proving that the circles are similar

the answer is

The circles are similar because you can translate circle 1 using the transformation rule ( x+6,y-4) and then dilate it using a scale factor of (3 )

What is the standard form of the equation of a circle given by x^2 + y^2 - 18x + 8y + 5 = 0

Answers

Completing the square:

x^2 - 18x + y^2 + 8y = -5
x^2-18x +81 - 81 + y^2 + 8y + 16 - 16 = -5.

Then, (x-9)^2 + (y+4)^2 = -5 + 81 + 16 = 92

Then the desired equation is (x-9)^2 + (y+4)^2 = 92.

Answer:

x-9,y+4,92

Step-by-step explanation:

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

a2 − 2a − 224 = 0

8, –28

16, –14

–16, 14

–8, 28

Answers

For this case we have the following equation:
a2 - 2a - 224 = 0
Applying the resolver we have:
A = (- b +/- root (b ^ 2 - 4 * a * c)) / (2 * a)
Substituting values we have:
A = (- (- 2) +/- root ((- 2) ^ 2 - 4 * 1 * (- 224))) / (2 * (1))
Rewriting:
A = (2 +/- root (4 + 896)) / (2)
A = (2 +/- root (900)) / (2)
A = (2 +/- 30) / (2)
The roots are:
A1 = (2 + 30) / (2)
A2 = (2 - 30) / (2)
Rewriting:
A1 = 16
A2 = -14
Answer:
16, -14

The answer is Answer:

16, -14

Can someone please help me

Answers

No, the two rectangles are not similar. Similar rectangles will have the same ratio of shortest to longest side lengths.
3 : 4 ≠ 5 : 6

Concerned about graffiti, mayors of nine suburban communities instituted a citizen community watch program. community monthly incidents after monthly incidents before burr oak 2 7 elgin corners 3 2 elm grove 6 2 greenburg 4 3 huntley 5 11 north lyman 3 9 south lyman 3 5 pin oak 5 7 victorville 2 3 click here for the excel data file (a) choose the appropriate hypotheses to see whether the number of graffiti incidents declined. assume μd is the mean difference in graffiti incidents before and after.

Answers

Just to be clear, the data are reported in the picture attached.

We set the difference in graffiti incidents between before (B) and after (A) as:
d = A - B
If the number of incidents has indeed reduced, then d will be negative.

In order to choose the hypothesis, we need to recall that the null hypothesis H₀ represents the statement that we want to prove wrong, while the alternative hypothesis H₁ represents the statement that we want to prove right.
Therefore, we want μd to be strictly negative (= 0 would mean that the number of incidents stayed constant).

Hence:
H₀ : μd ≥ 0
H₁ : μd < 0

Final answer:

The appropriate hypotheses to determine if graffiti incidents declined involve a null hypothesis where the mean difference is greater than or equal to zero and an alternative hypothesis where the mean difference is less than zero. The μd represents the mean difference in graffiti incidents before and after the institution of the community watch program.

Explanation:

The appropriate hypotheses to test whether the number of graffiti incidents declined in the suburban communities after the institution of a citizen community watch program are as follows:

H0: μd ≥ 0 (Null hypothesis: The mean difference in graffiti incidents before and after is greater than or equal to 0, indicating no decrease.)Ha: μd < 0 (Alternative hypothesis: The mean difference in graffiti incidents before and after is less than 0, indicating a decrease.)

Here, μd (mu-sub-d) represents the mean difference between the number of incidents before the program and after the program was implemented. To test these hypotheses, we would typically conduct a paired t-test if the samples are normally distributed or a Wilcoxon signed-rank test if the distribution is not normal.

Assuming μd is the mean difference in graffiti incidents before and after, the test will determine if there is statistically significant evidence to support that the community watch program resulted in a reduction of graffiti incidents.

What value of y makes the equation true?

Answers

Hi there!

First, we'll need to solve the equation for y. In order to solve for y, we can use our properties. The property we can use in order to solve for y is the subtraction property. Using this property, we can subtract 2.9 from each side. This gives us the value of y as 8.1. Therefore, the answer is A - 8.1.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

what is a factor of 4x^2+36x+72

Answers

Clearly, 4 is a factor of all terms. Beyond that, a graph suggests that (x+3) and (x+6) are also factors.

[tex]4x^{2}+36x+72=4(x+3)(x+6)[/tex]

A wheel spins at 300 revolutions per minute. What is the angular velocity of the wheel, in radians per second? Round the answer to the nearest hundredth.

Answers

Angular velocity = 300 revolutions per minute

1 revolution = 2π radians.

So, we can write:

Angular velocity = 300 x 2π radians per minute = 600π radians per minute

1 minute = 60 seconds.

So,

Angular velocity = 600π radians per 60 seconds
⇒
Angular velocity = 10π radians per second
Angular velocity = 31.42 radians per second

Thus, rounding of to nearest hundredth, the angular velocity will be 31.42 radians per second.

Answer:

31.42

Step-by-step explanation:

Marcus drew a quadrilateral with only 1 pair of parallel sides. Which quadrilateral did Marcus draw?

Answers

That would be a trapezoid

a trapezoid!
Hope this helps! <3

the volume of water in a bowl is given by V=1/3pih^2(60-h), where h is the depth of the water in centimeters. If the depth is increasing at the rate of 3cm/sec when the water is 10 cm deep, how fast is the volume increasing at that instant

Answers

[tex]\bf V=\cfrac{1}{3}\pi h^2(60-h)\implies V=\cfrac{1}{3}\pi h^260-\cfrac{1}{3}\pi h^3 \\\\\\ V=20\pi h^2-\cfrac{\pi }{3}h^3\implies \cfrac{dV}{dt}=20\pi \left(\stackrel{chain~rule}{2h\frac{dh}{dt}} \right)-\cfrac{\pi }{3}(\stackrel{chain~rule}{3h^2\frac{dh}{dt}}) \\\\\\ \begin{cases} \frac{dh}{dt}=3\\ h=10 \end{cases}\implies \cfrac{dV}{dt}=20\pi [2(3)(10)]-\cfrac{\pi }{3}[3(10)^2(3)] \\\\\\ \cfrac{dV}{dt}=1200\pi -300\pi \implies \cfrac{dV}{dt}=\stackrel{\frac{cm}{sec}}{900\pi }[/tex]

The area of a rectangular patio is 5 and 5/8 square yards, and its length is 1 and 1/2 yards. What is the patio's width in yards?

Answers

area = length * width

width = area/length

area = 5 5/8 sq yd = 5.625 sq yd
length = 1 1/2 yd = 1.5 yd

width = area/length = (5.625 sq yd)/(1.5 yd) = 3.75 yd

width = 3.75 yd = 3 3/4 yd

Hello!

We can use the equation to find the area of a rectangle

The equation is l * w = A

l is length
w is width
A is area

Put in the values you know
1 1/2 * w = 5 5/8

Divide both sides by 1 1/2

w = 3 3/4

The answer is 3 3/4 yards

Hope this helps!

write a number sentence to compare 7.17 and 7.170

Answers

Both of these values are the same, so the number sentence would state:

7.17 = 7.170

You can place any number of zeros to the very end on the right side (when there is a decimal point) without changing the value of the number.

7.1700000 = 7.17 also

Answer:

They are equal

Step-by-step explanation:

Which best describes a triangle with side lengths of 6 inches 8 inches and 9 inches?

Answers

It is an acute scalene triangle.

For a popular Broadway musical, theater box office all $356 apiece 275, tickets and $60 apiece, and 369 tickets and $45 apiece. How much money did the box office ticket Take in?

Answers

Answer: $ 61,585

Explanation:

Since the question is incomplete and confusing, here I rephrase it:

A theater box office sold:

   356 tickets at $80 apiece,
     275 tickets at $60 apiece, and
   369 tickets at $45 apiece.

How much money did the box office take in?

The problem is solved by multiplying the number of tickets at each price and adding all the partial sums:

This is:

356 tickets × $80 / ticket = $28,480
275 tickets × $ 60 / ticket = $16,500
369 tickets × $45 / ticket = $16,605

Sum = $28,840 + $ 22,000 + $ 16,605 = $ 61,585

Answer: $ 61,585
If this is what your question means, then;

1. 356 tickets at $80 apiece2. 275 tickets at $60 apiece3. 369 tickets at $45 apiece
Just multiply the number of tickets per class to its corresponding price:356 tickets * $80 / ticket = $28,480275 tickets * $ 60 / ticket = $16,500369 tickets * $45 / ticket = $16,605
Total = $28,840 + $ 22,000 + $ 16,605
Total = $ 61,585
The total earnings is $ 61,585

hey can you please help me posted picture of question

Answers

For this case we have the following function transformation:
Horizontal translations:
Suppose that h> 0:
To graph y = f (x + h), move the graph of h units to the left.
Answer:
option B

Addition of a number to x as is done in F(x+6) results in a shift towards left direction of the original function. Since G(x) = F(x+6) , G(x) is obtained by moving F(x) 6 units to left.

So, G(x) is F(x) shifted 6 units to the left.

Thus, the correct answer is option B

PLZ HELP ASAP TANGENTS OF CIRCLES

Answers

First, we are given that the inscribed angle of arc CB which is angle D is equal to 65°. This is half of the measure of the arc which is equal to the measure of the central angle, ∠O.

m∠O = 2 (65°) = 130°

Also, the measure of the angles where the tangent lines and the radii meet are equal to 90°. The sum of the measures of the angle of a quadrilateral ACOB is equal to 360°.

m∠O + m∠C + m∠B + m∠A = 360°

Substituting the known values,
130° + 90° + 90° + m∠A = 360°

The value of m∠A is equal to 50°.

Answer: 50°

When no more than 110 units are produced, the cost of producing y units is given by c(x). c(x)equals0.2 x cubed minus 24 x squared plus 1524 x plus 31 comma 272 how many units should be produced in order to have the lowest possible average cost?

Answers

Given that the cost of production is modeled by:
c(x)=0.2x^3-24x^2+1524x+31272
for lowest average cost, we calculate c'(x)=0
thus:
From c(x), we shall have:
c'(x)=0.6x^2-48x+1524
solving for x we get:
x=40+/- 30.6594i
but since we are looking for a definite number of units, we shall do away with the complex part such that we shall remain with:
x=40 units
hence the minimum number of units will be 40 units

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The primary reason for the announcement of the Monroe doctrine 1823 was Write the equation in standard form using integers y=4x+5 On oceania's low islands, what is typically the only source of freshwater? write an expression that represent the sum of r and 7 Read the sentence. Soldiers of the 20th Maine Regiment won the Battle of Gettysburg by their actions. This is an example of _____.a thesis statementa detaila research plan The habitual manner in which people explain the things that happen to them is their explanatory style. True False Which statement expresses the relative roles of the many Hindu gods? A.While Hindus worship many gods, three of them Brahma, Vishnu, and Shiva are the most important. They represent the fundamental aspects of Hinduism. B.Ganesh, Lakshmi, and Krishna are the most important Hindu gods. All Hindus worship them to secure rebirth in a higher caste. C.As the creator of everything, Vishnu is the most important Hindu god. All of the other gods are of equal stature below him. D.Only Brahma is considered important. The other gods Ganesh, Vishnu, and Shiva represent his servants and are insignificant to Hinduism. Which museum did the fearless five infiltrate in Amsterdam Netherlands? The chemicals that make up all plants, animals, and humans are composed of organic compounds containing the element potassium. True False How many kg equal 100 grams Given the two expressions shown below:square root of 64 plus square root of 5square root of 64 plus square root of 4Which statement best describes the two expressions? Both are rational. Both are irrational. A is rational, but B is irrational. A is irrational, but B is rational. Before his suicide in 2013 "hacktivist" aaron swartz was facing 35 years in a federal penitentiary for: The measure of an angle is 27. what is the measure of a complementary angle? A form of decreasing assistance called errorless learning is also known as: Jordana is putting a fence around a garden that is shaped like a half circle and a rectangle.How much fencing will Jordana need? Use 22/7 for pi64 ft86 ft92 ft114 ft How did the neolithic revolution affect societies economically? Annette is stacking boxes in her closet. There are 15 boxes in all. If each box weighs 7.5 pounds, his much do the boxes weigh together In which of the following processes does mitosis play a vital role?1. the production of gametes for sexual reproduction2. the production of new body cells to replace old cells3 the production of additional embryonic cells following fertilization In Miami the number of accidents increased by 20% over a four year period.how many accidents were there in 2013 if there were 5120 in 2009 Kagan (1984) suggested the morality of most individuals is directed by