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3 years ago

SURFACE AREAS AND VOLUMES (10Th Grade)

Mathematics

2 answers:

Mekhanik [1.2K]3 years ago

8 0

Answer: here is ur answer

Step-by-step explanation:

sergeinik [125]3 years ago

4 0

Answer:

6L^2 + πL^2 /4

Step-by-step explanation:

the hemispherical shape is scooped out from one side of the cube, so the total surface area (SA) should include: five surface of cube + one remained side of cube subtracted the circle (r=L/2) + SA of semisphere inner curved.

Or, SA of the remaining solid = cubic SA+ semisphere SA-circle area

= 6L^ 2 + 1/2 * 4π(L/2)^2 - π(L/2)^2

= 6L^2 + (π L^2)/2 - (πL^2)/4

= 6L^2 +πL^2 /4

6L²+ πL²/4

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In a class of 100 half the students are science majors and half are liberal art majors. A student who is a science major has a 0

igomit [66]

Answer:

P(both students passed the exam) = 0.61948

Step-by-step explanation:

From the given information:

P(both students passed the exam) = P(both are science students or both are art major students or one is from each group)

= P (both are science students) + P(both are art students) + P(one from each group)

where;

P (both are science students) = (50/100) (0.9) × (44/99) × (0.9) = 0.18

P(both students are art) = (50/100) (0.7) × (49/99) 0.7 = 0.1213

P(one of the student are from each group) = (50/100) (0.9) ×(50/99) (0.7) + (50/100) (0.7)× (50/99)(0.9) =0.3182

P(both students passed the exam) = 0.18 + 0.1213 + 0.3182

P(both students passed the exam) = 0.61948

6 0

3 years ago

F(x)=a^x which of the following expressions is equal to f(3) * f(4) f(3^4) f(3+4) F(3*4)

Romashka-Z-Leto [24]

Answer:

option 2

f(3+4)

Step-by-step explanation:

To understand this problem, what we can do is solve and compare with the results they give us.

f(x)=a^x f(3) * f(4)

f(3) = a^(3) f(4) = a^(4)

we replace

f(3) * f(4) = a^3 * a^4

as they are powers of the same base

f(3) * f(4) = a^(3+4)

f(3) * f(4) = a^7

Now let's do it with the options they give us

1. f(3^4) f(x)=a^x

3^4 = 81 x = 81

f(81) = a^81 wrong option

2. f(3+4) f(x)=a^x

3+4 = 7 x = 7

f(7) = a^7 correct option

3. f(3*4) f(x)=a^x

3*4 = 12 x = 12

f(12) = a^12 wrong option

8 0

3 years ago

g Suppose you have $100 of endowment, and you are offered a chance to buy a lottery which costs $36. The lottery has 18% of chan

vlabodo [156]

Answer:

$301.23

Step-by-step explanation:

We have that the function of wealth is U (w) = w ^ (1/2)

So, since what you have at the start is 100, we replace:

U (w) = 100 ^ (1/2)

U = 10

Now we have two cases:

the first one we win, then the winnings would be 100 minus the cost of the lottery, that is 36 and to that add G of the prize:

100 - 36 + G = 64 + G

In the second case, where we lose, the subtraction of 100 that we have minus the cost of the lottery would be equal 36

100 - 36 = 64

Therefore, we have to win with an 18% probability, therefore losing would be 82% (100% - 18%)

0.18 * (64 + G) ^ (1/2) + 0.82 * 64 ^ (1/2)

solving:

0.18 * (64 + G) ^ (1/2) + 6.56

Now this is equal to U which is equal to 10:

10 = 0.18 * (64 + G) ^ (1/2) + 6.56

(10 - 6.56) /0.18 = (64 + G) ^ (1/2)

(64 + G) ^ (1/2) = 19.11

(64 + G) = 365.23

G = 365.23 - 64

G = 301.23

Therefore, the smallest G prize size that the lottery will be willing to buy is $ 301.23

8 0

3 years ago

Cassie bought 3/8 pound of peanuts and 1/4 pound of cashews to make mixed nuts .use the numbers to compare the amount of peanuts

ivanzaharov [21]

To be able to determine how much peanuts than cashews Cassie bought we simply subtract the amounts given in the problem statement. That is,

 3/8 pound of peanuts - 1/4 pound of cashews = 1/8 pounds

THerefore, Cassie bought 1/8 pounds of peanuts than cashews for the mixed nuts. Hope this answers the question. Have a nice day.

8 0

3 years ago

The countries population in 1991 was 231 million . In 1999 it’s was 233 million. estimate the population in 2003 used The expone

liraira [26]

Answer:

The population in 2003 was 234 million

Step-by-step explanation:

In order to calculate the population in 2003 we would have to use the The exponential growth formula as follows:

p(y)=ir^t

According to the given data:

p(y)=233 million

i=231 million

t =1999-1991

Therefore, 233 million=231 million r^(1999-1991)

(233 million/231 million)^(1/8)=r

p(y)=231 million(233 million/231 million)^((y-1991)/8)

Therefore, in 2003 p(2003)=231 million(233 million/231 million)^((2003-1991)/8)

p(2003)=231 million(233 million/231 million)^(1.5)

p(2003)=234 million

The population in 2003 was 234 million

7 0

4 years ago