The Empire State Building is 1250 feet tall. Brock makes a scale model of the building at 1:250 of its actual size. How tall is the model?

Answer:

dV ≈ 927.4 cm³

Step-by-step explanation:

Formula for volume of a cylinder is;

V = πr²h

Using differentials, we have;

dV = (dV/dr)dr + (dV/dh)dh

Now, dV/dr = 2πrh

dV/dh = πr²

Thus, at r = 24/2 = 12 cm

And at h = 60 cm, we have;

dV/dr = 2π(12 × 60)

dV/dr = 4523.89 cm²

Also;

dV/dh = π(12)²

dV/dh = 452.39 cm²

the metal in the top and bottom is 0.1 cm thick. Thus, dr = 2 × 0.1 = 0.2

the metal in the sides is 0.05 cm thick. Thus; dh = 0.05

Thus;

dV = (4523.89 × 0.2) + (452.39 × 0.05)

dV ≈ 927.4 cm³

Answer:

A sample size of 1068 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

CBS wishes to have 95% confidence and a margin of error in its estimate of ±0.03. What sample size is required?

We need a sample size of n, and is found when M = 0.03.

We dont have an estimate for the true proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.03})^2[/tex]

[tex]n = 1067.1[/tex]

Rounding up,

A sample size of 1068 is required.

Answer:

Step-by-step explanation:

Answer:

The correct answer is B. $6.50 per pound.

Answer:

4

Step-by-step explanation:

Let 10x+y be the two digit number. y is the one's digit and x is the ten's digit.

Interchanging the digits gives the new number 10y+x.

We are given when we subtract these numbers we get 36.

(10x+y)-(10y+x)=36

Put like terms together

Remember the terms in the second are being subtracted from the terms in the first

(10x-x)+(y-10y)=36

9x-9y=36

Dividing both sides by 9 gives

x-y=4

The difference between the numbers is 4.

Answer:

A = 81.681409 (81.64 for 3.14 as pi) B = 4.65222141 (4.65458109 as 3.14 for pi) rotations

Step-by-step explanation:

To figure out how far one full rotation is (which is the circumference) you do the circumference formula: C = 2 pi r

C = 2 pi 13

C = 26pi

C = 81.681409

To figure out how many rotations C can fit into 380, divide 380 by C

380 / 81.681409 = 4.65222141

Answer:

I think it is the vertical line test. If you have any other questions let me know! :)

Answer:

16+x*12≤580

Step-by-step explanation:

x would be the money you pay per month

Can I have brainliest plz

Hope dis helps :P

Answer:

16+x*12≤580

Step-by-step explanation:

Answer:

20,90 for the first one

50% for second one

Answer:

2(4x+2+6x)=44

10x+2=22

10x=20

x=2

area= 10*12=120sq feet

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

We need to find the value of x.

We know that the sum of angles of a triangle is equal to 180°. So, using this property,

2x+1+3x-1+90 = 180

2x+3x = 180-90

5x = 90

x = 18

So, the value of x is equal to 18.

Answer:

radius =1.1618m

Step-by-step explanation:

circumference of circle =7.3m

2πr=7.3

r=7.3/(2π)=1.1618m

Answer:

Well I’m not sure what you want but I’ll give you both,

The perimeter is 25 units

The area is 28.5 units ^2

Step-by-step explanation:

Well to find perimeter just count every unit which is what I did and got 25 units.

To find the area jsut split them into two shapes and find the area for both.

Triangle formula: bh/2

Rectangle: Lw

Well we have 3 for base and 3 for height.

3*3=9

9/2=4.5

4.5 is the triangle

We got 3 for width and 8 for length

3*8=24

24 is the rectangle

Add them up

24+4.5= 28.5

28.5 units

Answer:

28.5?

Step-by-step explanation:

I did this a while ago in 5th grade

Answer:

The correct answer is 2 and 1/2 or 5/2

Answer:

e=1

Step-by-step explanation:

2e=2

Divide both sides by 2

2e/2=2/2

Simplify

e=1

ANSWERED by NONE other than the #QUEEN herself aka #DRIPPQUEENMO!!

HOPE THIS HELPED!!

Answer:  -7j+3

Step-by-step explanation:Simplify

Answer:

582/800 * 581/799

brr i do NOT want to calculate that

Answer:

Kindly check explanation

Step-by-step explanation:

Given the summary output :

_______ Coeff___ StdError__ t-stat

Intercept 1283.000_ 352.000 _ 3.65

X1 _____ 25.228 ____8.631

X2 _____0.861 _____0.372

General form of a multiple regression model:

Y = B1X1+B2X2 +E

The fitted regression equation is :

y = 25.228X1 + 0.861X2 + 1283

Intercept and slope corresponding to the standard error :

Intercept = 352

Slope 1 = 8.61 ; slope 2 = 0.372

'B' coefficient represents the change in the mean response, Y, per unit increase in a version predictor variable when all the other predictors are held constant.

B1 represents the change in the mean response, U, per unit increase in x1 when x2, x3, ..., xk are held constant

B2 represents the change in the mean response, U, per unit increase in x2 when x1, x3, ..., xk are held constant

Answer:

To convert a ratio into the form of a percentage

Answer:

Answer:

x=13

Step-by-step explanation:

Since both angles are vertical angles and are therefore congruent, the expression is equal to 114.

7x+23=114

Subtract 23 from both sides.

7x=91

Divide both sides by 7.

x=13

Answer:

Answer in explanation

Step-by-step explanation:

Volume of cylinder =

[tex]\pi {r}^{2} h \\ = (3.14)(4) {}^{2}(8) \\ = 401.92units {}^{3} \: or \: 128\pi \: units^{3} [/tex]

Answer:

Step-by-step explanation:

Radius r = 4

Height h = 8

Volume = πr²h = 128π units³

Answer:

$3.583

Step-by-step explanation:

Given the monthly stock prices :

January = $3.50

February = $2.25

March = $5.00

The average monthly change in price of XYZ stock from. JANUARY through MARCH is;

(January + February + March) / 3

Average monthly change :

(3.50 + 2.25 + 5.00) / 3

$10.75 / 3

= $3.583

Answer:

is that the whole question? it looks unfinished to me-

Answer:

I hope that helped

Step-by-step explanation:

3x+4y=-5

6x+2y=8

7x+y=0

4x-5+y=0

Answer:

107 %

3 %

100 /8

Step-by-step explanation:

The exact quotient is 876.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

21,900 / 25

Now,

Using long division,

25 ) 21,900 ( 876

      200

         190

         175

           150

            150

              0

We see that,

The quotient is 876.

Thus,

The exact quotient is 876.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Answer:

Angle LKM is 110

Step-by-step explanation:

Since all the angles in a triangle equal 180, and 60 is one angle you can see its an equilaterial triangle.

so x=60

Then 3(60)-70=110

So LKM=110

Answer:

125, i don't know if I'm right though so try it? :)

Step-by-step explanation:

Well an exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees

180-60=120

120=x+(180-(3x-70))

x=65

3*65=195

195-70=125

Answer:

Probability that at least 490 do not result in birth defects = 0.1076

Step-by-step explanation:

Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.

To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects

Proof -

Given that,

P(birth that result in a birth defect) = 1/33

P(birth that not result in a birth defect) = 1 - 1/33 = 32/33

Now,

Given that, n = 500

X = Number of birth that does not result in birth defects

Now,

P(X ≥ 490) = [tex]\sum\limits^{500}_{x=490} {^{500} C_{x} } (\frac{32}{33} )^{x} (\frac{1}{33} )^{500-x}[/tex]

                 = [tex]{^{500} C_{490} } (\frac{32}{33} )^{490} (\frac{1}{33} )^{500-490}[/tex]  + .......+ [tex]{^{500} C_{500} } (\frac{32}{33} )^{500} (\frac{1}{33} )^{500-500}[/tex]

                = 0.04541 + ......+0.0000002079

                = 0.1076

⇒Probability that at least 490 do not result in birth defects = 0.1076