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Mumz [18]
2 years ago
11

I put a picture —PLEASE HELP

Mathematics
2 answers:
Irina-Kira [14]2 years ago
6 0

Answer:

Step-by-step explanation:

side=Base=x

<u>Area=side * side</u>

Area=\frac{1}{4} ft^{2}

<u>Substitute values in the above formula:</u>

<u />\frac{1}{4} ft^{2}=x * x

x^{2}=\frac{1}{4} ft^{2}

x=\frac{1}{2}ft

<u>Now,</u>

<u>The formula of volume of Cube:</u>

<u>Volume=x*x*x</u>

<u>Substitute the values of x=</u>\frac{1}{2}<u>ft in the formula of Volume:</u>

Volume=\frac{1}{2}ft * \frac{1}{2}ft * \frac{1}{2}ft

<u>Volume=</u>\frac{1}{8}<u> </u>ft^{3}<u />

<u />

<h3><em><u>If you need to ask any questions, please let me know.</u></em></h3>
Karo-lina-s [1.5K]2 years ago
3 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Base of a cube is a square, and in the given figure it's stated that the measure of each side is " x " ft

Therefore it's Area is equal to : -

  • side \times side

  • x \times x

  • {x}^{2}

Now, since it's Area is given as 1/4 ft², let's equate the Areas to find the measure of each side ~

that is ~

  • {x}^{2}  =  \dfrac{1}{4}

  • x =  \sqrt{ \dfrac{1}{2}  \times  \dfrac{1}{2} }

  • x =  \dfrac{1}{2}  \:  \: feet

It's time to find the volume of cube that is ~

  • (side) {}^{3}

So, let's plug the value of side length (1/2 ft)

Volume is equal to ~

  • {  \bigg(\dfrac{1}{2} \bigg) }^{3}

  • \dfrac{1}{8}  \:  \: ft {}^{3}

Hence, the required 1/8 or 0.125 ft³

I hope it helped ~

\mathrm{✌TeeNForeveR✌}

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Answer:

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2 years ago
One of the legs of a right triangle measures 15 cm and the other leg measures 10 cm.
katrin [286]

Answer:

the answerto this is 18.02.

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3 years ago
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Gnoma [55]

Answer: 100.48 cm

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2 years ago
Two opposing opinions were shown to a random sample of 1,500 buyers of a particular political news app in the United States. The
kifflom [539]

Answer:

A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B

= (0.51, 0.57)

This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)

B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.

Critical value = 2.33

Standard error = σₓ = √[p(1-p)/n]

p = sample proportion = 0.54

n = sample size = 1500

σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287

98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.54 ± (2.33 × 0.01287)

CI = 0.54 ± 0.02998)

98% CI = (0.51, 0.57)

98% Confidence interval = (0.51, 0.57)

B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?

For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;

- The sample data must have been obtained using a random sampling technique.

- The sampling distribution must be normal or approximately normal.

- The variables of the sample data must be independent of each other.

On the second point, the condition for a binomial distribution to approximate a normal distribution is that

np ≥ 10

and n(1-p) ≥ 10

The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.

For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Hope this Helps!!!

8 0
3 years ago
Which number is a perfect cube? <br> 21<br> 49<br> 343<br> 600
artcher [175]

Answer:

343

Step-by-step explanation:

7 cubed = 7 x 7 x 7 = 343

so, 343 is a perfect cube.

6 0
1 year ago
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