What is the radius of a sphere with a volume of 4186 in3 to the nearest tenth of an inch?

Answer:

21 units

Step-by-step explanation:

Since,

RE is parallel to PM,

( AR / RP ) = ( AE / EM )

( 7 / x ) = ( 6 / 18 )

( 7 / x ) = ( 1 / 3 )

x × 1 = 7 × 3

x = 21 units

The answer is D

Step-by-step explanation:

The graph B is correct.

The pictorial representation of data is called the graph.

Given that, Vicky gives 1 hour reviewing each old chapter and 1.5 hours learning each new chapter.

She spends at least 10 hours per week studying French.

We need to find the graph for this relation,

Let the number of old chapters Vicky reviews be x, and new chapters Vicky learns be y,

Therefore,

x + 1.5 y ≥ 10

Put the graph for the same.

Since the inequality sign is '≥' so the shaded part will be above the line and the inequality sign involves both equal and inequality so the line will be solid line without the dash.

We get the second graph is the correct graph.

Hence the graph B is correct.

Learn more about graphs, click;

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Answer:

Total = Principal * (1 + rate)^2

Total = 12,484 * (1.08)^2

Total = 14,561.34

Source http://www.1728.org/compint.htm

Step-by-step explanation:

Answer: 26

(13/4) (8/1) =(13) (8)/ (4) (1) = 104/4 = 26

Step-by-step explanation:

Answer:

answer is 19.2 left ........

Answer:

Decision Rule; Reject H₀ if t > 1.708

Step-by-step explanation:

Given the data in the question;

sample size n = 26

sample mean x' = 4.9

Variance = 0.81

standard deviation σ = √variance = √0.81 = 0.9

level of significance ∝ = 0.05

Claim;

Null hypothesis             H₀ : μ = 4.6

Alternative hypothesis H₁ : μ > 4.6

Test Statistics;

Right tailed test

Now, decision rule for rejecting H₀;

degree of freedom df = n - 1 = 26 - 1 = 25

so, Right tailed test { > in H₁ }

Hence, Critical Value = [tex]t_{\alpha ,df[/tex] = [tex]t_{0.05, 25[/tex] = 1.708

Decision Rule; Reject H₀ if t > 1.708

Answer:

The margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat is of $43.12.

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 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

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.

Sample of 81

This means that [tex]n = 81[/tex]

What is the margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat?

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

[tex]M = 1.96\frac{198}{\sqrt{81}}[/tex]

[tex]M = 43.12[/tex]

The margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat is of $43.12.

Answer:

(5.4582 ; 6.8618)

Step-by-step explanation:

Given the data:

6 10 2 6 3 3 3 6 6 6 6 5 8 9 10 10 7 9 3 6 5 10 9 9 10 3 8 6 6 3 3 6 6 5 4 10 9 3 5 7 10 6 3 8 6 8 3 3 5 5

Sample mean, xbar = Σx / n

n = sample size = 50

ΣX = 308

xbar = 308 / 50 = 6.16

Using a Calculator :

The sample standard deviation, s = 2.469

Confidence interval = xbar ± margin of error

Margin of Error = Tcritical * s/sqrt(n)

Tcritical at 95% ; df = 50 - 1 = 49

Tcritical = 2.010

Hence,

Margin of Error= 2.010 * (2.469/sqrt(50)) = 0.7018

Lower boundary : (6.16 - 0.7018) = 5.4582

Upper boundary : (6.16 + 0.7018) = 6.8618

(5.4582 ; 6.8618)

Answer:

A. C=0.15*8

Step-by-step explanation:

3 pencils for $0.45, think about how much one pencil costs? so divide 0.45 by 3 and get 0.15 which basically means 1 pencils is 15 cents, multiply that by the amount of pencils fernando wants which is 8 and that's your equation

Answer:

400        or       4 x 10²

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

anything times zero is zero

Answer:

4.8 km is the answer.

Step-by-step explanation:

a = ?

b = 5 km

c = 7 km

According to the Pythagorean theorem,

a² + b² = c²

a² + 5² = 7²

a² + 25 = 49

a² = 49 - 25

a² = 24

a = 4.8989

Round to the nearest tenth,

a = 4.8 km

Answer:

120km

Step-by-step explanation:

1hr 12 min is double 36 minutes

so just double 60

Answer:

Step-by-step explanation:

The Pythagorean theorem says:

[tex]a^2+b^2=c^2[/tex]

where a and b are the two legs of the triangle and c is the hypotenuse.  Here, let's say a = 6 and b = [tex]\sqrt{13}[/tex]. We then get the following equation:

[tex]c^2= (6)^2+(\sqrt{13})^2=49[/tex]

So c = 7. Technically, c can also equal -7 since (-7)^2 = 49 as well but that does not apply here because a side length cannot be <0. So 7 is the answer.

Answer:

I believe the answer is 3 3/4.

Step-by-step explanation:

the volume of a rectangular prism is length × width × height

Answer: The volume is 3 3/4 cubic inches.

Step-by-step explanation:

V= l*w*h

V= 1 1/4* 1 1/2*2

v= 3 3/4

Answer:

Vertical and supplementary

Step-by-step explanation:

Angles 1 and 2 are Vertically opposite angles and therefore they are equal to each other.

Answer:

the answer is 12 I hope this answer helps you

height =50

base=40

area of triangle =1/2b*h

1/2*40*50

1000

Answer:

i think the answer is C. 12x+7=y :)

Step-by-step explanation:

Answer:

9+7+4+5= 25

Step-by-step explanation:

add up everything then get ur answer

Answer:

5

It is that because I know this

Answer:

5 units.

Step-by-step explanation:

Since the distance is straight up.

You have two options:

Graph those two points and count the spaces separating them

or

Since they have the same x, you would only need to subtract 7-2.

Answer:

7. 5

6. 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the numbers in the Venn diagram we get answers:

Answer:

50

Step-by-step explanation:

10*5=50

Answer:

C

Step-by-step explanation:

Spinner B has 4/12ths of yellow and spinner a has 2/6ths. 2/6 is equivalent to 4/12ths

Answer:

C  :>

Step-by-step explanation:

Answer:

Variance =9.2983, 27.6927

Standard deviation = 3.0493, 5.2624

Step-by-step explanation:

n = 20

S = 14.75

X² = chisquare

N-1 = degree of freedom

Alpha = 0.1

Alpha/2 = 0.1/2 = 0.05

1-0.1/2 = 0.95

Using statistics table

X² 19,0.05 = 30.14

X² 19, 0.95 = 10.12

A. 19(14.75)/30.14 , 19(14 75)/10.12

= 9.2983, 27.6927 for the variance of the population

B. Standard deviation = square root of variance

= √9.2983, √27.6927

= 3.0493, 5.2624

Please use attachment for better understanding