Identify the qualitative data in a given study.

A miles per gallon for different cars
B styles of different cars
C number of cars that are sold
D average price of cars sold

Answer:

The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{0.25}{\sqrt{100}} = 0.06[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.5 - 0.06 = 7.44 ounces.

The upper end of the interval is the sample mean added to M. So it is 7.5 + 0.06 = 7.56 ounces.

The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).

Answer:

x^2-3y

5^2-3*8

25-24

1

Step-by-step explanation:

Answer:

The total amount of pollution discharged during the first 7 years of operation is 1.955 tons

Step-by-step explanation:

Given

[tex]r(t) = \frac{t}{t^2 + 1}[/tex]

Required

The total amount in the first 7 years

This implies that:

[tex]r(t) = \frac{t}{t^2 + 1}; [0,7][/tex]

The total amount is calculated by integrating r(t) i.e.

[tex]v = \int\limits^a_b {r(t)} \, dt[/tex]

So:

[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]

--------------------------------------------------------------

We have:

[tex]t^2 + 1[/tex]

Differentiate

[tex]d(t^2 + 1) = 2t[/tex]

Rewrite as:

[tex]2t = d(t^2 + 1)[/tex]

Solve for t

[tex]t = \frac{1}{2}d(t^2 + 1)[/tex]

---------------------------------------------------------------------------

So:

Make t the subject

[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]

[tex]v = \int\limits^7_0\frac{1}{2}* {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]

[tex]v = \frac{1}{2}\int\limits^7_0 {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]

Integrate

[tex]v = \frac{1}{2}\ln(t^2 +1)|\limits^7_0[/tex]

Expand

[tex]v = \frac{1}{2}[\ln(7^2 +1) - \ln(0^2 +1)][/tex]

[tex]v = \frac{1}{2}[\ln(50) - \ln(1)][/tex]

[tex]v = \frac{1}{2}[3.91 - 0][/tex]

[tex]v = \frac{1}{2}[3.91][/tex]

[tex]v = 1.955[/tex]

Answer:

B. f(x) = | x + 61 |

Step-by-step explanation:

An absolute value function is known by single vertical parenthesis demarcating the equation on both sides.

The only option with this indication is option B.

B. f(x) = | x + 61 |

This equation can be solved in two ways;

first; f(x) = - (x + 61)

second; f(x) = x + 61

Answer:

Step-by-step explanation:

2

Answer:

It should be c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The answer is A

Very few circles are congruent. Certainly if a circle has a radius of 8 and another one 2 city blocks away also has a radius of 8, both are congruent.  But if one of them has a radius of 4 and the other a radius of 10, they are not congruent.

A does not have to be true.

Answer:

plot ur x,y coordinates as (0,-8) (1,-8)

Answer:

1 no answer=1/100

2 no answer=1/100

3 no answer=100

Step-by-step explanation:

Answer:

------------------

-------------------------

hope it helps...

have a great day!!

Answer:

E. C= 80+ 12n

Step-by-step explanation:

____________

Answer:

1st quartile: 2.6

2nd quartile or median: 3.1

3rd quartile: 3.25

Step-by-step explanation:

Answer:

75ft

Step-by-step explanation:

if the shadow of a 6ft = 2.4ft

then the shadow of x=(30/2.4)×6=75

Answer:

17.6369809748oz

Step-by-step explanation:

hope this helps

Answer:

17.637

Step-by-step explanation:

Answer: a= w - 4b/ 7

Step-by-step explanation:

Answer:

see first of all it is a quadratic polynomial so it will have 2 zero alpha and beta

now , we will find value of a , b, c

so,

a= 3

b= 5

c= -2

now, sum of the zeros ( alpha + beta) =-b/a

so,-5/3

now product of zeros (alpha *beta) = c/a

so, it will we -2/3

hope you get it !

[tex]7 \times \frac{1}{3} \\ \\ = \frac{7 }{3} [/tex]

Answer:

m=4

2y/2=y

8x/2=4x

4/2=2

so

y=4x+4

Answer:a

Step-by-step explanation:a

Answer:

(3,-1)

Step-by-step explanation:

f(x)=(x2 - 6x)+8

f(x) = (x2 - 6x +9) + 8 - 9

f(x) = (x2 - 6x + 9) - 1

f(x) = (x - 3)^2 - 1

Since the completing square formula = a(x - h) + k

The vertex = (h,k)

= (3,-1)

Answer:

D. 78°

Step-by-step explanation:

50°+28°= 78°

_______

Answer:

a

Step-by-step explanation:

you are correct it is a (decreases) when objects move farther away the strength of the force becomes less.

Answer:

see explanation

Step-by-step explanation:

∠ 4 and ∠ 6 are same- side interior angles and supplementary, sum to 180°

Step-by-step explanation:

[tex]angle \: 4 \: makes \: a \: c \: shape \: when \: refering \: it \: to \: angle \: 6 \: which \: is \: terefore \: a \: correspndin \: angle \: \\ \\ [/tex]

I use to have reddit sorry

Answer:

Yes

Step-by-step explanation:

Mines is u/Brown_Bear17

Answer:

x = 0.5

Step-by-step explanation:

[tex]\frac{5}{2x} +3=\frac{4}{x}[/tex]

[tex]2x(\frac{5}{2x} +3)=2x(\frac{4}{x})[/tex]

5 + 6x = 8

5 - 5 + 6x = 8 - 5

6x = 3

[tex]\frac{6x}{6} =\frac{3}{6}[/tex]

x = 0.5

Answer:

28.35

Step-by-step explanation:

you can use mathswatch or hegarty maths to help u

Answer:

Step-by-step explanation:

6x-1+3x+5x+3+4x+8+5x+5=360 degree(sum of exterior angle of a pentagon is 360 degree)

23x+15=360

23x=360-15

x=345/23

x=15

therefore the value of x is 15 degree.

Answer:

Step-by-step explanation:

Look at the graph at the time given and determine how the line will continue based on its current trajectory;

A. T

B. S

C. 20 minutes