Find the measure of 44.
{
44
158°
K
*4 = [?]

Answer:

i. The surface area of the ball is approximately 28.0 square inches.

ii. The volume of the ball is approximately 14.0 cubic inches.

Step-by-step explanation:

The ball has the shape of a sphere, so that;

C = 2[tex]\pi[/tex]r

9.4 = 2 x [tex]\frac{22}{7}[/tex] x r

65.8 = 44r

r = [tex]\frac{65.8}{44}[/tex]

r = 1.50 inches

The radius of the ball is 1.50 inches.

i. Surface area of a sphere = 4[tex]\pi[/tex][tex]r^{2}[/tex]

So that,

surface area of the ball = 4 x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{2}[/tex]

                                             = 28.2857

The surface area of the ball is approximately 28.0 square inches.

ii. Volume of the ball = Volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

Volume of the ball =  [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{3}[/tex]

                               = 14.1429

The volume of the ball is approximately 14.0 cubic inches.

Answer:

C.8n=56

Step-by-step explanation:

It sounds like you're talking about an integral, namely

[tex]\displaystyle\int x^2\sqrt{x^3+9}\,\mathrm dx[/tex]

Substitute u = x ³ + 9, so that du = 3x ² dx. Then

[tex]\displaystyle\int x^2\sqrt{x^3+9}\,\mathrm dx=\frac13\int\sqrt{u}\,\mathrm du=\frac13\times\frac23u^{\frac32}+C=\boxed{\frac29(x^3+9)^{\frac32}+C}[/tex]

Answer:

Step-by-step explanation:

FYI,

C ∪ D = ( - ∞ , 2 ) ∪ [ 6 , ∞ )

C ∩ D = ∅

Answer:

?

Step-by-step explanation:

Answer:

do you want to me to find it for all or just 1

Answer:

88 [tex]m^{2}[/tex]

Step-by-step explanation:

The surface are is the total area of all the faces

Opposite faces have the same area

Label each side either l, h or w

SA of a cuboid = 2lw + 2lh + 2hw

(2 x 4 x 6) + (2 x 4 x 2) + (2 x 6 x 2) = 8

278 students are girls in this case.

Answer:

ok

Step-by-step explanation:

:)

We'll need to convert all the fractions to common denominators.

1/3 = 8/24

3/8= 9/24

4/8 = 12/24

8/24 stays the same.

4/8 = 8/16

9/16 stays the same.

4/16 stays the same.

3/8 = 6/16

Now we compare.

8/24 > 9/24 X

12/24 < 8/24 X

8/16 < 9/16 √

4/16 > 6/16

So the answer is C) 4/8<9/16

---

hope it helps

Answer: x smaller than or equal to -4

Solution :

The one sample proportion summary hypothesis test is :

p : proportion of successes

[tex]$H_0: p = 0.33 $[/tex]

[tex]$H_a : p > 0.33$[/tex]

The hypothesis test result by using the statistical software is :

Total = 930

Sample proportion = 0.37

Standard error = 0.0157

Z-stat = 1.697

P- value = 0.0448

Therefore, the hypothesis   [tex]$H_0:p = \frac{1}{3} \text{ versus}\ H_a: p > \frac{1}{3}$[/tex]   is correct.

  And conclusion : Fail to reject [tex]$H_0$[/tex]. As we do not have any convincing evidence that more than one-third of adult Americans who have checked their credit scores within the past 12 months did so as part of regular financial planning.

Answer: 300

Step-by-step explanation:

20% of $250 is $50

So $300

Answer:

Let M represent the amout at any time.

She saves $40 per week so total amount becomes 40x in any specified week.

where x is the number of weeks.

In the start she has $500 in her bank account so we 'll add this amount into the savings per week. So expression becomes

M = 40x+500

Simply put number of week in place of x and find the total amount.

Step-by-step explanation:

Answer:

for c it is no

Step-by-step explanation:

it is no because she deposits 40 a week, in 4 weeks she deposits 40x4=160, which is nowhere close to the 700 she needs. Even if you count the 500 in her account it is still no since it would total up to 660, not 700

Answer:

D 3 ones, 0 tenths, 5 hundredths

Step-by-step explanation:

9.15 divided by 3.

915/3 = 305

Then, moving the decimal point two units to the left, we have 3.05.

The last number before the decimal point is called ones, which means that we have 3 ones.

The first number after the decimal point is called tenths, which means that we have 0 tenths.

The second number after the decimal point is called hundredths, which means that we have 5 hundredths.

The correct answer is given by option D.

Answer:

A)P(ACC has a team in the championship game) = 0.5

B)P(SEC has a team in the championship game) = 0.4

C)P(both ACC & SEC having teams in the championship games) = 0.05

D)P(ACC or SEC) = 0.85

E)P(not ACC or SEC) = 0.15

Step-by-step explanation:

A) We are told that in the last 20 years, ACC has had a team in the championship game for 10 times.

Thus;

P(ACC has a team in the championship game) = 10/20 = 0.5

B) SEC has a team in the championship game 8 times in the last 20 years;

Thus;

P(SEC has a team in the championship game) = 8/20 = 0.4

C) since both ACC and SEC have had teams in the championship game for the past 20 years, then;

P(both ACC & SEC having teams in the championship games) = 1/20 = 0.05

D) Addition rule of probability is that;

P(A or B) = P(A) + P(B) - P(A & B)

Applying it to this question, we have;

P(ACC or SEC) = P(ACC) + P(SEC) - P(ACC & SEC)

Plugging in the relevant values, we have;

P(ACC or SEC) = 0.5 + 0.4 - 0.05

P(ACC or SEC) = 0.85

E) from complement rule, we can find the probability that the championship game will not a have team from one of these two conferences.

Thus;

P(ACC not SEC) = 1 - P(ACC or SEC)

P(ACC not SEC) = 1 - 0.85

P(ACC not SEC) = 0.15

Answer:

Step-by-step explanation:

I believe it's 4 as 32 fluid ounces is 1 quart

Answer:

ok so you said 40 points but theres only 5 points....xD anyways,

we know that 4 would be as 32 fluid ounces.

that would equal 1 quart.

hope this helps! best of luck!!!!

Answer:

62.16

Step-by-step explanation:

Step-by-step explanation:

2a -5a +8a.

2a +8a -5a

10a -5a = 5a

14-7=7

Answer=5a+7

Answer:a

Step-by-step explanation:

W

L=2w-3

Area=(L×w)

65=[(2w-3)×w]

65 =(2w²-3w)

65=2w²-3w

2w²-3w-65=0

by using the quadratic equation

you'll get 2 values in which one will be negative

Obviously a length can't be negative so you take the positive.

w=6.5m

L=2(6.5)-3

=10m

Answer:

C

Step-by-step explanation:

Instead of how much she should've had left it should've asked how much did she use.

Answer:

1

Step-by-step explanation:

9/10+1/10=(9+1)/10=10/10=1

Answer:

1

Step-by-step explanation:

you can add the two fractions since they have a common denominator. 9/10 + 1/10 = 10/10

any number divided by itself is equal to 1

Answer:

i dont know sry need points sry

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

18 divided by 24 equals .75 and that equals 75 as a percent.