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Grace [21]
3 years ago
14

Isabella cures for an aquarium that is 6 feet long and has a height of 4 feet aquarium need 72 ft.³ of water to be completely fi

lled what is the width of the aquarium
Mathematics
2 answers:
Vanyuwa [196]3 years ago
8 0

Answer:

I'm going to take a guess and say the last part says what is width of the tank. Therefore, your answer is 3.

Step-by-step explanation:

The formula to find the volume of a rectangular cuboid is height (h) * length (l) * width (w), or h*l*w = volume (or ‘v’).

In this case, we already have the length and the height at 6 and 4, respectively, so we can plug that into our equation:

4*6*w = v

We also have the volume already figured out for us, so we can plug that in, too:

4*6*w = 72.

Now, all you need to do is simplify:

24 * w = 72

Divide both sides of the equation by 24 to isolate the value of the width:

w = 72/24

w = 3

So, there you have it! Since we were labeling our units in feet, in this case, the answer would be “The width of the aquarium is 3 feet”

Nataly [62]3 years ago
7 0

Answer

the answer is  w=3

Step-by-step explanation:

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kow [346]
So to find the answer, first we need to understand how to approximate square roots. 80 is an imperfect square, so we're going to have to round the answer. To find that, we need to find the multiples 80.

72, 80, 81.
8, x, 9

So the distance apart between 72 and 81 is 9. The answer, x, is obviously between 8 and 9, and since the distance between these to is 9, your answer is going to be 8.9 .
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3 years ago
A intercept of 2 and slope of 1/6
Katen [24]

Answer:

what is your question though. if its create an equation, its

y = 1/6x + 2

3 0
3 years ago
Suppose that we want to test the hypothesis with a significance level (alpha) of .05 that the climate has changed since industri
saw5 [17]

Answer: we reject the initial claim

(50. 3802, 51.6198)

Step-by-step explanation:

A)

The initial statement is that the mean temperature throughout history is 50°

This is the null hypothesis and it is denoted as H'

H': u = 50.

After taking a sample of 40 years, we realized that the mean temperature is 51°.

This is the alternative hypothesis, in contradiction to the alternative.

The alternative hypothesis is denoted as H1

H1: u > 50 ( upper tailed).

Sample size (n) = 40

Sample mean (x) = 51

Population standard deviation (σ) = 2

We use a z test to get the value of the test statistics.

We are using a z test because sample size is greater than 30 ( n = 40) and population standard deviation is given.

Z score = x - u/ (σ/√n)

Z score = 51 - 50 / (2/√40)

Z score = 1 / 0.3162

Z score = 3.16

Our level of significance is 5%, and the critical value at this level of significance is 1.645.

By comparing the z score relative to the critical value, since our z score is greater than 1.645, it implies that we are in the rejection region hence we reject the initial claim.

B)

We are to construct a 95% confidence interval for population mean temperature.

For upper limit

u = x + Zα/2 ×(σ/√n)

Where Zα/2 = 1.96 which is the critical value for a two tailed test at 5% level of significance.

For upper limit, we have that

u = 51 + 1.96 × (2/√40)

u = 51 + 1.96 (0.3162)

u = 51 + 0.6198

u = 51.6198.

For lower limit, we have that

u = 51 - 1.96 × (2/√40)

u = 51 - 1.96 (0.3162)

u = 51 - 0.6198

u = 50. 3802.

Hence the 95% confidence level for mean temperature is given as (50. 3802°, 51.6198°)

7 0
3 years ago
Solve the exponential question . Leave your answer as a fraction
Doss [256]

Step-by-step explanation:

problem → 2^x = 4, solve for x

⇒2^x=4

⇒2^x=2^2

⇒x=2

7 0
3 years ago
Please help!
larisa [96]
Answer: 
Choice A
1/17; no, they are dependent events

============================================

Explanation:

There are 13 spades and 52 cards total. So 13/52 = 1/4 is the probability of drawing one spade

If we do not replace the card we pull out, then the probability of another spade is 12/51 since there are 12 spades left out of 51 total. 

Multiply the fractions 1/4 and 12/51 to get
(1/4)*(12/51) = (1*12)/(4*51) = 12/204 = 1/17

The two events are not independent because the second event (pulling out a second spade) depends entirely on what happens in the first event (pulling out a first spade). The fact that the probability is altered indicates we have dependent events.

6 0
3 years ago
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