The amount of television viewed byâ today's youth is of primary concern to Parents Against Watching Televisionâ (PAWT). 300 parents of elementaryâ school-aged children were asked to estimate the number of hours per week that their child watches television. The mean and the standard deviation for their responses were 12 and 3â, respectively. PAWT constructed aâ stem-and-leaf display for the data that showed that the distribution of times was aâ symmetric, mound-shaped distribution. Give an interval where you believe approximatelyâ 95% of the television viewing times fell in the distribution.

a. less than 9 and more than 15 hours per week
b. between 3 and 21 hours per week
c. between 6 and 18 hours per week
d. less than 18

Answer:

None of the above

Step-by-step explanation:

According to the divergence test, if the limit of a sequence as n approaches infinity does not equal 0, then the series diverges.  (Notice that if the limit does equal 0, the series doesn't necessarily converge).

According to the geometric series test, a geometric series converges if -1 < r < 1, and diverges otherwise.

The first series is a geometric series with r = -5/3.  So it diverges.

The second series is also a geometric series:

3ⁿ⁻¹ / 2ⁿ = ⅓ (3ⁿ / 2ⁿ) = ⅓ (3/2)ⁿ

r = 3/2, so it diverges.

For the third series, the limit as n approaches infinity equals 1.  This fails the divergence test, so this series also diverges.

For the fourth series, the limit as n approaches infinity equals 1.  This fails the divergence test, so this series also diverges.

Answer:

n + 3 ≤ -8

Step-by-step explanation:

Answer: n + 3 is greater than or less than to -8

The symbol ≤ means less than or equal to.

I hope this helped remember any number that has a negative combined with a positive depending on the number it will rise or fall. In this matter we are adding a positive to a negative so the number gets closer to 0.

Using proportions, it is found that:

A. 165 students can be expected to oppose school uniforms.

B. From the sample, the most likely outcome is in favor, as it got the most responses, hence we should disagree with Bernice.

A proportion is a fraction of a total amount.

Item a:

Out of 80, 11 opposed, hence, out of 1200, we apply the proportion and find that the amount will be of:

1200 x 11/80 = 165.

Hence, 165 students can be expected to oppose school uniforms.

Item b:

From the sample, the most likely outcome is in favor, as it got the most responses, hence we should disagree with Bernice.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

[tex]\sqrt{32}[/tex]

Step-by-step explanation:

The square root of 4 is 2.

The square root of 16 is 4.

The square root of 32 is 5.65685425.

The square root of 64 is 8.

Therefore [tex]\sqrt{32}[/tex] is irrational.

Hope this helped! :)

9514 1404 393

Answer:

  2/7

Step-by-step explanation:

Put the number where x is and do the arithmetic.

  [tex]14x^{-2}=\dfrac{14}{x^2}=\dfrac{14}{7^2}=\dfrac{7\cdot2}{7\cdot7}=\boxed{\dfrac{2}{7}}[/tex]

Answer:

Negative

Step-by-step explanation:

A quadratic that does not touch the x-axis always has a negative discriminant.

positive

[tex]As\ shown\ in\ the\ figure[/tex]

[tex]when\ g(x)=0,\ have\ 2\ real\ roots\ (b^2-4ac > 0,\ \ have\ 2\ real\ roots)[/tex]

[tex]So\ the\ discriminant\ of\ g\ positive[/tex]

I hope this helps you

:)

Answer:

.23

Step-by-step explanatio

45 of the seeds will be yellow. So the probability of a yellow flower is

45/300 = .15

Total probability = probability of white + probability of yellow + probability of red

or

1 = P(W) + P(Y) + P(R)

we know P(W) = .62. So let x = probability of a red flower

1 = .62 + .15 + x

1 = .77 + x

x = .23

Answer:

the answer is A

Step-by-step explanation:

please make me brainliest

Let l be the symbol for length

Let w be the symbol for width

[tex]l = 2w - 5[/tex]

Our first equation is built according to the given that the length is twice the width subtracted by 5

Our second equation is built on the definition of perimeter. A perimeter is the sum of all sides of a polygon. A rectangle has 4 sides (2 lengths and 2 widths)

So the perimeter of a rectangle is=l+l+w+w=2l+2w

[tex]2l + 2w = 26[/tex]

This will be our second equation;

I can make a system of equations of 2 unknowns using my 2 equations;

[tex]2l + 2w = 26[/tex]

[tex]l -2w = - 5[/tex]

Add the two systems together by adding everything that is before the equal sign together and everything after it together.

[tex]2l + l + 2w - 2w = 26 - 5[/tex]

[tex]3l = 21[/tex]

[tex]l = \frac{21}{3} = 7 \: meters[/tex]

To find the width substitute L=7 in any equation;

[tex]l = 2w - 5[/tex]

[tex]7 = 2w - 5[/tex]

[tex]7 + 5 = 2w[/tex]

12=2w

w=12/2=6

The app is bugging, the width is 6 meters and the length is 7 meters

Answer:

2.983 ft/sec

Step-by-step explanation:

Given that

Distance between center and Jasmine riding on a carousal = 9.5 feet

Time taken to complete one rotation = 20 seconds

To find:

Jasmine's linear speed = ?

Solution:

Number of revolutions per minute = [tex]\frac{60}{20} = 3[/tex]

Formula for linear speed is given as:

[tex]v=\dfrac{2\pi}{60}\cdot r\cdot RPM[/tex]

Where [tex]r[/tex] is the radius of circular path and

[tex]RPM[/tex] is the number of revolutions per minute.

[tex]v=\dfrac{2\pi}{60}\times 9.5 \times 3\\\Rightarrow v=\dfrac{\pi}{10}\times9.5 \\\Rightarrow v = \bold{2.983\ ft/sec}[/tex]

Therefore, the linear speed is 2.983 ft/sec.

Answer:

the container that holds

6 liters= 6,000mL

Answer:

Highest common factor of 63 and 45 is 9.

Therefore there can be 9 bouquets each with 5 roses and 7 carnations

Step-by-step explanation:

hope this helped!

Answer:

BCA and DCA

Step-by-step explanation:

Because the angle are next to each other. If you look at the others, none of them have the other listed beside them

Answer:

The answer is the second option

Step-by-step explanation:

because the first two numbers 3 and 4 are a and b on a triangle and 6 is the hypothos

Answer:

6,000,000

Explanation:

42,000 acres is the area you get after you multiply the number of acres of old-growth trees by 0.7%. So you would divide 42,000 by 0.7% to get the number of acres of old-growth trees.

# of acres of old-growth trees * 0.7% = 42,000

# of acres of old-growth trees = 42,000/0.7%

# of acres of old-growth trees = 6,000,000

PS. 0.7% = 0.007

Answer:

Step-by-step explanation:

Perimeter is the sum of side lengths

Let's find the sides first

Perimeter is

Answer:

C

Step-by-step explanation:

Reflect over y axis translation down & left.

Answer:

4

I hope this helps!

Answer:

The answer is B

Step-by-step explanation:

Answer:

25π

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^{2}[/tex]. In this case, [tex]r[/tex] is 5, to the area will we [tex]25\pi[/tex].

Answer:

Distance between  the observer and the red car is [tex]250 Sin \frac{\pi}{3}t[/tex]

Step-by-step explanation:

Diameter of field = 500 m

Radius of field =[tex]\frac{Diameter}{2}=\frac{500}{2}=250 m[/tex]

Let R be the radius and the speed at which the car completes race be w

So,[tex]w=\frac{2\pi}{T}[/tex]

Car finished 5 laps in minutes = 30

Car finished 1 lap in minutes = [tex]\frac{30}{5}=6[/tex]

So, [tex]w=\frac{2\pi}{6}=\frac{\pi}{3}[/tex]

Refer the attached figure

Angle between car and observer = wt

So, Distance between  the observer and the red car is give as A sin wt

So, Distance between  the observer and the red car=[tex]250 Sin \frac{\pi}{3}t[/tex]

Answer:

Step-by-step explanation:

X = 4,0

hypotenuse = sqrt(4^2  + (-sqrt(33))^2 )

hypotenuse = sqrt(16 + 33)

hypotenuse = sqrt(49)

hypotenuse = 7

Cos(theta) =  4/ 7

The cos looks like it should be negative, but it is positive in quad 4.

Answer:

Step-by-step explanation:

Here it is given that ,l ines PV , QW and RX are parallel .That is ,

[tex]\longrightarrow PV \ || \ QW \ || RX [/tex]

And we would like to find out the value of ,

[tex]\longrightarrow m\angle STW \ \& \ \angle TSV [/tex]

As we know that when a transversal intersects two parallel lines then ,

Here ,

[tex]\angle STW [/tex] and [tex]\angle TUX [/tex] are corresponding angles .So they must be equal.

[tex]\longrightarrow x = 2y \dots (i)[/tex]

Again here [tex]\angle VST[/tex] and [tex]\angle STW[/tex] are co- interior angles. So ,

[tex]\longrightarrow x + (x +5y) = 180^o \dots (ii) [/tex]

Substitute the value from equation (i) into (ii) ,

[tex]\longrightarrow 2y + 2y +5y =180^o \\[/tex]

[tex]\longrightarrow 9y = 180^o\\[/tex]

[tex]\longrightarrow y =\dfrac{180^o}{9}\\[/tex]

[tex]\longrightarrow y = 20^o [/tex]

[tex]\rule{200}4[/tex]

Therefore , we may find out the required angles as ,

[tex]\longrightarrow m\angle STW = x \\ [/tex]

[tex]\longrightarrow m\angle STW = 2y\\ [/tex]

[tex]\longrightarrow m\angle STW = 2(20^o)\\ [/tex]

[tex]\longrightarrow \underline{\underline{m\angle STW = 40^o}} [/tex]

[tex]\rule{200}4[/tex]

Again ,

[tex]\longrightarrow m\angle TSV = x + 5y \\ [/tex]

[tex]\longrightarrow m\angle TSV = 40^o 5(20^o)\\[/tex]

[tex]\longrightarrow m\angle TSV = 40^o + 100^o\\ [/tex]

[tex]\longrightarrow \underline{\underline{ m\angle TSV = 140^o }} [/tex]

And we are done!

[tex]\rule{200}4[/tex]

Step-by-step explanation:

Tulis 689.802.473 dalam angka

six hundred eighty nine million eight hundred two four hundred and seventy three

sorry if wrong

Answer:

A)

Student       Test Score     z-score

A                       126               1.25

B                        98                  -2.772

C                        97                -0.26

D                        88                  -2.984

E                        66                -1.88

F                        95                  -2.801

G                        111                  0.47

H                        105                -2.539

B)For z = 2.00, test score =278.4

For z - -2.00, test score =125.6

Step-by-step explanation:

Student       Test Score     z-score

A                       126               1.25

B                        98

C                        97                -0.26

D                        88

E                        66                -1.88

F                        95

G                        111                  0.47

H                        105

Mean = [tex]\mu = 202[/tex]

Standard deviation = [tex]\sigma = 38.2[/tex]

For Student B

x= 98

[tex]Z=\frac{x-\mu}{\sigma}=\frac{98-202}{38.2}=-2.722[/tex]

For Student D

x= 88

[tex]Z=\frac{x-\mu}{\sigma}=\frac{88-202}{38.2}=-2.984[/tex]

For Student F

x= 95

[tex]Z=\frac{x-\mu}{\sigma}=\frac{95-202}{38.2}=-2.8010[/tex]

For Student H

x= 105

[tex]Z=\frac{x-\mu}{\sigma}=\frac{105-202}{38.2}=-2.539[/tex]

Now we are supposed to find test scores :

For z = 2.00

[tex]Z=\frac{x-\mu}{\sigma}\\2=\frac{x-202}{38.2}\\(2 \times 38.2)+202=x\\278.4=x[/tex]

For z = -2.00

[tex]Z=\frac{x-\mu}{\sigma}\\-2=\frac{x-202}{38.2}\\(-2 \times 38.2)+202=x\\125.6=x[/tex]

Hence ,For z = 2.00, test score =278.4

For z - -2.00, test score =125.6

Answer:

-1 1/16 if mixed number. If you want decimal form: -1.0625

Step-by-step explanation:

Your question was this:

9+8/(-4)-12

I want you first to get rid of the -4-12 and be done with it so here are the steps:
Rule: If negative subtract a negative, that shall be an addition problem with the larger number's symbol.

In this case, we need to add 4 and 12 together and include the negative symbol in front of the answer.

That shall be -16

Our Question now:
9+8/-16

So do 9+8 which is 17.

Our question now:

17/-16

Your answer is an improper fraction so you could change it to a mixed number or you could simply divide 17 and -16 to get a negative decimal.

Here are the possible answers:
Mixed Number: -1 1/16

Decimal Form: -1.0625

Answer:

12 1/5

Step-by-step explanation:

5 can go into itself one time and 5 can go into 25 5 times hope that makes sense

Answer:

12 1/5

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

90°-36°=54°
        Or

x+36+90=180°

x=180-126

x=54

Hope that helped! :)