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2 years ago

Find the smallest 4-digit number perfect square.

1 answer:

6 0

31*31= 961 is perfect square but it don't respect the sentence

32*32=1024 is the lowest perfect square formed by 4 digits

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The edges of a cube increase at a rate of 2 cm divided by s. How fast is the volume changing when the length of each edge is 40

Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

Let the edge of the cube be a .

Given

$\frac{da}{dt} = 2 cm/s$

Volume V = a³

$\frac{dV}{dt} = 3a^ 2\frac{da}{dt}$

= 3a² x 2

= 6a²

If a = 40 cm

$\frac{dV}{dt} = 6 \times 40\times40$

= 9600 cm³/s .

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2 years ago

Subtrahend is when you subtract a number from another

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Didn't know if this was a question but if yes it is

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3 years ago

How to find the base of an isosceles when given one side

MA_775_DIABLO [31]

Double the side and subtract by 360

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2 years ago

In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that th

kow [346]

Answer:

Step-by-step explanation:

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2 years ago

In order to estimate the difference between the average hourly wages of employees of two branches of a department store, two ind

liberstina [14]

Answer:

Step-by-step explanation:

Hello!

You have two populations of interest and want to compare them. If you define the study variables as:

X₁: average hourly wages of an employee of the Downtown store.

n₁= 25

X[bar]₁= $9

S₁= $2

X₂: average hourly wages of an employee of the North Mall store.

n₂= 20

X[bar]₂= $8

S₂= $1

Both samples taken are independent, assuming that both populations are normal and that their population variances are equal I'll use the Student's-t statistic with a pooled sample variance to calculate the Confidence interval:

95% CI for μ₁ - μ₂

(X[bar]₁-X[bar]₂) ± $t_{n_1+n_2-2; 1-\alpha /2} * (Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } )$

$Sa^2= \frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}$

$Sa^2= \frac{24*4+19*1}{25+20-2}= 2.67$

Sa= 1.64

$t_{n_1-n_2-2;1-\alpha /2} = t_{43; 0.975} = 2.017$

(9-8)±2.017* $(1.64*\sqrt{\frac{1}{25} +\frac{1}{20} } )$

[0.007636;1.9923]

I hope it helps!

6 0

2 years ago