1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
spayn [35]
3 years ago
8

In the diagram the sphere touches each face of the cube at one point-the center of each face. if each side of the cube is 7cm, w

hat is a reasonable estimate for the unoccupied volume of the cube?
a: 120cm3
b: 140cm3
c: 160cm3
d: 180cm3
Mathematics
1 answer:
gladu [14]3 years ago
6 0

Answer:

b

Step-by-step explanation:

You might be interested in
Help me solve this problem please
Mazyrski [523]

Answer:

Its A

Step-by-step explanation:

4 0
3 years ago
Which expressions are equivalent to 10/10^3/4
zysi [14]

\dfrac{10}{10^\frac{3}{4}}=10^{1-\frac{3}{4}}=10^\frac{1}{4}=\sqrt[4]{10}\\\\\text{Used:}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\\sqrt[n]{a}=a^\frac{1}{n}

3 0
3 years ago
Read 2 more answers
Of a group of randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wa
Wittaler [7]

Answer:

We are 95% confident that the percent of executives who prefer trucks is between 19.43% and 33.06%

Step-by-step explanation:

We are given that in a group of randomly selected adults, 160 identified themselves as executives.

n = 160

Also we are given that 42 of executives preferred trucks.

So the proportion of executives who prefer trucks is given by

p = 42/160

p = 0.2625

We are asked to find the 95% confidence interval for the percent of executives who prefer trucks.

We can use normal distribution for this problem if the following conditions are satisfied.

n×p ≥ 10

160×0.2625 ≥ 10

42 ≥ 10 (satisfied)

n×(1 - p) ≥ 10

160×(1 - 0.2625) ≥ 10

118 ≥ 10 (satisfied)

The required confidence interval is given by

$ p \pm z\times \sqrt{\frac{p(1-p)}{n} } $

Where p is the proportion of executives who prefer trucks, n is the number of executives and z is the z-score corresponding to the confidence level of 95%.

Form the z-table, the z-score corresponding to the confidence level of 95% is 1.96

$ p \pm z\times \sqrt{\frac{p(1-p)}{n} } $

$ 0.2625 \pm 1.96\times \sqrt{\frac{0.2625(1-0.2625)}{160} } $

$ 0.2625 \pm 1.96\times 0.03478 $

$ 0.2625 \pm 0.06816 $

0.2625 - 0.06816, \: 0.2625 + 0.06816

(0.1943, \: 0.3306)

(19.43\%, \: 33.06\%)

Therefore, we are 95% confident that the percent of executives who prefer trucks is between 19.43% and 33.06%

5 0
3 years ago
Which of these numbers are perfect squares or perfect cubes? Select the THREE answers that apply. 8 16 32/ 64 128 6 Omestian 12​
Murljashka [212]

Answer:

  8, 16, 64

Step-by-step explanation:

  8 = 2^3 . . . a perfect cube

  16 = 4^2 . . . a perfect square

  32 = 2^5 . . . neither a cube nor a square

  64 = 2^6 = 4^3 = 8^2 . . . both a perfect cube and a perfect square

  128 = 2^7 . . . neither a cube nor a square

8 0
3 years ago
Please help me!!!!!!!! :)​
nirvana33 [79]

Answer:

Step-by-step explanation:

the 30 year olds are more likely to pick chocolate as their favorite ice cream because the fraction of people who like chocolate is 14/20 where the other 3 are 4/20 and 2/20. this can be converted into percentages as well by multipling by 5. 70% of people who are in their 30s like chocolate opposed to the 20% and 10%.

3 0
3 years ago
Other questions:
  • A factory worker in Cambodia makes 320,000 Cambodian Riels per month. If 1 U.S. dollar equals 4000 Cambodian Riels, how much doe
    14·1 answer
  • You ask to barrow $800 from your Uncle Raul who decides to charge you 25% monthly interest on the initial amount. Does this arra
    9·1 answer
  • a rectangle had a width of 5m+12. Its length was twice the width. what was the length of the rectangle? and what was the perimet
    7·1 answer
  • How do I solve the running time of a train between two terminals is 48 minutes, and there is a 7-minutes layover at each termina
    12·1 answer
  • What is vertex of the graph of the function below y=x^2-10x+21
    6·1 answer
  • Anyone know what this is
    15·2 answers
  • A company interested in lumbering rights for a certain tract of slash pine trees is told that the mean diameter of these trees i
    11·1 answer
  • What is negative 5 plus 6​
    5·2 answers
  • 2(5x-9) = 11x-3 find m
    7·1 answer
  • [(-2)²×3]÷[(-9)-5+2]
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!