The volume of a cube is 343 centimeters cubed. Whats the area of its base?

Answers

Answer 1

Answer:

49

Step-by-step explanation:

If the volume of a cube is 343 cubic centimeters, then the length of one of the edges must be 7, because 7^3=343. If the side length is 7, then the area of the square base is 7^2=49 square centimeters. Hope this helps!


Related Questions

For a normal distribution given a standard deviation of 3.8 in a mean of 54 what percent lies above 48
A 0.1690
B 0.0571
C 0.7660
D 0.9429

Answers

Answer:

choice D.) 0.9429

Step-by-step explanation:

Given a Normal data set

mean u = 54

standard deviation s = 3.8

we want P( X > 48)

Standardize this probability so we can use Z-scores.

P( X > 48) = P( (X - u)/s > (48 - 54)/3.8 ) = P(Z >  -1.5789)

so  I look for P ( Z > 1.5789) = 0.0571

so  P(Z > -1.5789) = 1 - P(Z > 1.5789) = 1 - 0.0571 = 0.9429

write an expression that represents "the product of 12 and n"

Answers

Answer:

12n

Step-by-step explanation:

12 * n= 12n

Answer:

12n

Step-by-step explanation:

You don't really need to do anything it's as simple as it can be!

fair coin is tossed 3 times in a row. What is the probability that heads appears on only the last toss?

Answers

Answer:

1/1

Step-by-step explanation:

SO the chances are 1/1, or 100%. There are 2^3 = 8 possible outcomes after tossing a fair coin fairly 3 times. The 8 possible outcomes are: TTT, HTT, THT, TTH, HHT, HTH, THH, HHH.

Final answer:

The probability of getting heads only on the last toss of three tosses of a fair coin is 0.25 or 25%. This theoretical probability, according to the law of large numbers, tends to become closer to the observed frequency as the number of repetitions increases.

Explanation:

The subject of this question can be classified under Mathematics. It falls under the area of probability, specifically the concept of binomial probability. When a fair coin is tossed, there are two possible outcomes: heads (H) or tails (T). The probability of getting either outcome is 0.5. This is the theoretical probability based on the assumption that the coin is fair and unbiased.

Tossing the coin three times introduces eight possible combinations (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT). Out of these, only two combinations (TTH, THT) yield heads (H) on the last toss alone.

Therefore, the probability of getting heads only on the last toss is the number of successful outcomes divided by the total number of outcomes, i.e., 2 out of 8 or 0.25 (25%). This probability is a theoretical probability that deals with long-term expectation and it tends to become closer to the observed or empirical frequency as the number of repetitions increases (law of large numbers).

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A random sample of 850 births included 434 boys. Use a 0.10 significance level to test the claim that 51.5​% of newborn babies are boys. Do the results support the belief that 51.5​% of newborn babies are​ boys? Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Upper H 0​: pequals0.515 Upper H 1​: pnot equals0.515 Your answer is correct.B. Upper H 0​: pequals0.515 Upper H 1​: pgreater than0.515 C. Upper H 0​: pnot equals0.515 Upper H 1​: pequals0.515 D. Upper H 0​: pequals0.515 Upper H 1​: pless than0.515 Identify the test statistic for this hypothesis test.

Answers

Final answer:

The null hypothesis is that 51.5% of newborn babies are boys, and the alternative hypothesis is that the percentage is different from 51.5%. The test statistic, used to decide whether to reject or fail to reject the null hypothesis, is calculated using the observed percentage of boys and the sample size.

Explanation:

The question is about testing a hypothesis about the proportion of boys born (51.5%). For this, we set our null and alternative hypotheses. The null hypothesis (H0) being tested here is that the true proportion of boys is 51.5% (p = 0.515), while the alternative hypothesis (H1) is that the proportion of boys is not 51.5% (p ≠ 0.515). The correct choice here would be A: Upper H0: p=0.515, Upper H1: p ≠ 0.515.

To calculate the test statistic, we would use the formula [(p' - p) / sqrt[(p(1 - p) / n]], where p' is the observed proportion in our sample (434 boys out of 850 births or 0.51), p is the claimed proportion (0.515), and n is the sample size (850). After calculating this, you would compare it to a critical value associated with the 0.10 significance level to decide whether to reject or fail to reject the null hypothesis.

Without the specific calculations, I can't tell you what your final test statistic will be, but this should guide you in the right direction.

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Final answer:

The null and alternative hypotheses are H₀: p = 0.515 and H₁: p ≠ 0.515. The test statistic for this hypothesis test is the z-score.

Explanation:

The null and alternative hypotheses for this test are:

H₀: p = 0.515H₁: p ≠ 0.515

The test statistic for this hypothesis test is the z-score. To calculate the z-score, you can use the formula:
z = (p' - p₀) / sqrt((p₀ * (1 - p₀)) / n)

Substituting the given values:
z = (434/850 - 0.515) / sqrt((0.515 * (1 - 0.515)) / 850)

Calculating the z-score, we can compare it to the critical value(s) from the standard normal distribution to make a conclusion about the null hypothesis.

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Suppose you purchase a $500 bond with a 6.5% coupon. What is the periodic
interest rate of this bond?
O A. 6.5%
O B. 0.5%
O C. 3.25%
O D. 1.5%

Answers

Answer:

C. 3.25

Step-by-step explanation:

A was wrong I seen the real answer which was C

Can someone help and answer this problem please!

Answers

Answer:

C.) [tex]\frac{a^6}{b^5}[/tex]

Step-by-step explanation:

[tex]\frac{a^2b^{-7}}{a^{-4}b^{-2}}[/tex]

Use the quotient rule [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] :

[tex]a^{2+4}b^{-7+2}\\\\a^6b^{-5}\\\\[/tex]

Use the negative power rule [tex]x^{-a}=\frac{1}{x^a}[/tex] :

[tex]a^6*\frac{1}{b^5}\\\\\frac{a^6*1}{b^5}\\ \\\frac{a^6}{b^5}[/tex]

:Done

Answer:

D

Step-by-step explanation:

[tex]\dfrac{a^2b^{-7}}{a^{-4}a^{-2}}=\\\dfrac{a^2}{a^{-4}}\cdot \dfrac{b^{-7}}{b^{-2}}=[/tex]

[tex]a^6b^{-5}[/tex], or option D. Hope this helps!

In an aquarium, there are 10 large fish and 5 small fish. Half of the large fish are red.

One fish is selected at random. Find the probability that it is a large, red fish.

Write your answer as a fraction in simplest form.

Answers

Answer: I would think 1/3

Step-by-step explanation:

If there are 10 large fish and half are red that would mean there is a 5/10 chance of getting a red fish from the large fish.. because there are 15 fish in total you would do 5/15 because there are 15 and 10 of those fish are large and 5 of the large fish are red. And 5/15 to its simplest form is 1/3! If this is right please give brainlist!

Final answer:

The probability of randomly selecting a large, red fish from an aquarium with 5 red large fish and 10 total large fish is 1/3.

Explanation:

This question falls under the category of probability in mathematics. In the given aquarium, we have 10 large fish, 5 of which are red, and 5 small fish. That makes a total of 15 fish. So, when you randomly select one fish, you have 15 possible outcomes. If you want to select a large, red fish, you have 5 such fish in the aquarium. The probability of an event is calculated by dividing the number of desired outcomes by the total number of outcomes. Therefore, the probability of selecting a large, red fish from the tank is 5/15 which simplifies to 1/3, this is the fraction in simplest form that represents the probability.

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Who knows the correct answer to this???

Answers

Answer:

A. y = 3x + 1

Step-by-step explanation:

Slope-intercept form y = mx + b

m = slope

b = y - intercept

Also this one pls help

Answers

Answer:

Option 3

Step-by-step explanation:

Answer:

From my understanding the answer is supposed to be 6.. but since that's not an option I think it's option 4.

Step-by-step explanation:

Can someone answer this plzz

Answers

Answer: 5

Step-by-step explanation:

(Sorry forgot to put picture)
What is the value of x?

A. X=3
B. X=8.5
C. X=6.5
D. X=14

Answers

4x+8x+12=180
12x+12=180 (combine like terms)
12x=168 (subtract 12 from both sides)
X=14 (divide 12 from both sides)

1. How long is a whales head?

Answers

its 1/3 of the length of its body

Answer:

Whales head

Step-by-step explanation:

1/3

hi guys could you please help me with this problem?

Answers

Answer:

7

Step-by-step explanation:

yidtkddkyoufofytidtsitdydiyof

Which of the following is a complex number?

Answers

Answer:

The correct answer is B.

if a circle has a circumference of 100 pi units what is its area

Answers

Step-by-step explanation:

We have,

Circumference of a circle is 100 π.

Formula for circumference is :

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

r is radius of circle

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{100\pi }{2\pi}\\\\r=50\ \text{units}[/tex]

Formula for area of circle is :

[tex]A=\pi r^2\\\\A=\pi (50)^2\\A=2500\pi\ \text{units}^2[/tex]

the area of the circle is 2500π square units.

To find the area of a circle when given the circumference, we must first determine the radius of the circle. The formula for the circumference of a circle is C = 2 π r, where C is the circumference and r is the radius. In this case, the circumference is 100 π units.

We can solve for the radius (r) as follows:C = 2 π r100 π = 2 π rr = 100 π / (2 π)r = 50 units
Now, to find the area (A) of the circle, we use the formula A = π r².

Substitute the radius (50 units) into the area formula:

A = π * (50 units)²A = π * 2500 units²A = 2500 π units²
Therefore, the area of the circle is 2500 π square units.

please help me asap!!

Answers

Answer:

this is true!!

Step-by-step explanation:

The answer is B) False .

The Pythagorean Theorem is not just for finding the length of a leg, but also the hypotenuse. You can also use it for finding the distance between two points on a coordinate plane.

hope this helps !

Which geometric series converges? 1 5 + 2 5 + 4 5 + 8 5 + 1 5 + 6 5 + 36 5 + 216 5 +... 1 5 +2+20+200+ 1 5 + 1 20 + 1 80 + 1 320 +.

Answers

Answer:

D. 1/5 + 1/20 + 1/80 + 1/320

Step-by-step explanation:

Edge

Option D.)  1/5 + 1/20 + 1/80 + 1/320 is correct    

                                                                               

What is geometric progression?

Geometric progression is kind of progression that the ratio to the adjacent values always same.

ratio in every option is not same except option D. 1/5 + 1/20 + 1/80 + 1/320
i.e. (1/5)/(1/20) = (1/80)/(1/20)

Thus the Option D.)  1/5 + 1/20 + 1/80 + 1/320 is correct                                                                                              

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Help plz will mark brainliest

Answers

Answer:

for 33 its C

Step-by-step explanation:

4 times blue parakeets is 4b

y=4 times blue parakeets so y=4b

Answer:

D.) [tex]y=\frac{1}{7} g[/tex]

Step-by-step explanation:

Yellow parakeets = y

Green parakeets = g

Blue parakeets = b

There are 7 times as many yellow as green, which leaves us with the following equation:

[tex]7y = g[/tex]

We also know that there are 4 times as many green as blue - but this is just a distractor, this equation is irrelevant!:

[tex]4g =b[/tex]

The proper equation to solve for is [tex]7y=g[/tex]!

To solve, we do the following:

[tex]7y = g\\*\frac{1}{7}\\y = \frac{1}{7} g[/tex]

Solve.

2.5z=−15

z=
What is the answer answer in the box









Answers

Answer:

Z = -6

Step-by-step explanation:

The answer for this is Z=-6

You are taking a multiple choice test. There are 4 answer choices for each problem. You randomly guess on one. What is the probability, as a PERCENT, you will get it right?
1/4
75%
3/4
25%
NEED HELPP

Answers

Answer:25%

Step-by-step explanation: there is 4 choices and you pick one so it means 1/4 chance. You then got to put it in percent form and 1/4 is 0.25 but you then have to move the decimal twice to the right to get 25%

Awnser: 25%

Explain: I took the party

please help me and please help me do it in a way i could understand :) ty

Answers

X = 70 because vertical angles are the same
And the next pair of angles are 20° each please mark me brainliest it would be pretty cool

Which statement best describes ionic bonding?

Answers

The attraction of ions due to the transfer of valence electrons.

Answer:

Electrons are transferred from one atom to another

Step-by-step explanation:

I knoww

a 11/18
b 13/18
c 5/18
d 18/13

Answers

i would have to say b 13/18
13/18 is the answer

6. The area of a rectangular painting is given by the trinomial x2 + 2x - 15. What are the possible (1 point)
dimensions of the painting? Use factoring,

Answers

Answer:

(x+5)(x-3) = x^2+2x-15

Step-by-step explanation:

since there is a -15 at the end and a +2x in the center, you want two factors of 15 which differ by 2. Those are 5 and 3. Now, you want one + and one -, so +5-3 = +2

NEED HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

c-5 inches

Step-by-step explanation:

helpppp me plz i need help​

Answers

Answer:

The answer is D

Step-by-step explanation:

I learned this in school

Emery's blueberry farm can produce 535 bushels of blueberries in 2 days. At this rate, how many bushels of blueberries can Emery's farm produce in 9 days? A. 2,675 B. 1,872.5 C. 2,140 D. 2,407.5

Answers

Answer: THE ANSWER IS D 2,407.5

Step-by-step explanation:

It’s 2,407.5 I divided 535÷2 then multiplied it by 9

Garrett throws a dart at a circular dartboard. The dartboard has a radius of 18 inches, and the bull’s eye in the center of the dartboard has a radius of 4 inches. What is the probability that a dart thrown at random within the dartboard will hit the bull’s eye? Round your answer to the nearest tenth, if necessary.
A. 20.3%
B. 4.9%
C. 22.2%
D. 4.5%

Answers

Answer:

B.

Step-by-step explanation:

radius of dart board = 18 inches

radius of bull's eye= 4 inches

(4/18)^2= about 04.9%

so B. 4.9% is your answer

does anybody know the answer

Answers

Answer:

yes

Step-by-step explanation:

i know the answer

Answer:

[tex]111g[/tex]

Step-by-step explanation:

[tex]2 : 3 = 2 + 3 = 5 \\ \frac{185}{5} = 37 \\ \\ \: 2 \: \: \: \: \: \: \: \: \: \: \: \: \: : 3 \\ 37 \times 2 : 37 \times 3 \\ 74 g\: \: \: \: \: \: \: \: \: \: : 111g[/tex]

In ΔHIJ, i = 900 cm, ∠H=95° and ∠I=28°. Find the length of j, to the nearest centimeter.

Answers

Answer:

J=1607.77cm

Step-by-step explanation:

Answer:

1608

Step-by-step explanation:

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