There are 8 teachers going to the science museum if each teacher pays 15 to get inside how many did the teachers pay

The National Coffee Association reported that of U.S. adults drink coffee daily. A random sample of U.S. adults is selected. Rou

kirill115 [55]

The question is incomplete. The complete question is :

The National Coffee Association reported that 62% of U.S. adults drink coffee daily. A random sample of 225 U.S. adults is selected. Round your answers to at least four decimal places as needed.

Required:

a. Find the mean μ.

b. Find the standard deviation σ.

c. The standard deviation σ.

Solution :

a). Percentage of the US adults who drinks coffee daily = 62%

Therefore, the mean, μ = 0.62

b). We know, p = μ = 0.62

And n = 225

Therefore, the standard deviation is given by :

$\sigma=\sqrt{\frac{p\times (1-p)}{n}}$

$=\sqrt{\frac{0.62\times (1-0.62)}{225}}$

$=\sqrt{\frac{0.62\times 0.38}{225}}$

$=0.0324$

c). Standard deviation, σ = 0.0324

3 0

3 years ago

What is the sum of 3/x=9/16

Studentka2010 [4]

Multiply 3 by both sides answer x=27/16 or in decimal 1.6875

7 0

3 years ago

A baseball team is in second place with the wind to loss ratio of .535. what percent of the games played did the team win?

Vsevolod [243]

Answer:

34.85%

Step-by-step explanation:

Let w be the probability of winning, then probability of losing would be (1 - w)

We know the ratio of winning to losing is 0.535

w/(1 - w) = 0.535

w = 0.535 - 0.535w

1.535w = 0.535

w = 0.348534202

% of games won:

0.348534202 × 100

34.8534202%

4 0

2 years ago

A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1863 mailboxes t

forsale [732]

Answer:

3433 m²

Step-by-step explanation:

From the image, we have a rectangular box without cover and half a cylinder on top.

Formula for surface area of rectangular box with top is;

S = 2(lh + wh + lw)

From the image,

l = 0.6 m

w = 0.4 m

h = 0.55 m

Thus;

S = 2((0.6 × 0.55) + (0.4 × 0.55) + (0.6 × 0.4))

S = 1.58 m²

Now, since the top is not included for this figure, then;

Surface area of this rectangular box is;

S1 = 1.58 - (lw) = 1.58 - (0.4 × 0.6) = 1.34 m²

Surface area of a cylinder is;

S = 2πr² + 2πrh

r is radius and in this case = 0.4/2 = 0.2 m

h = 0.6

S = 2π(0.2² + (0.2 × 0.6))

S = 1.005 m²

Since it is half cylinder, then we have;

S2 = 1.005/2

S2 = 0.5025 m²

Total surface area; S_t = S1 + S2

S_t = 1.34 + 0.5025

S_t = 1.8425 m²

This is the surface area of one mail box.

Thus, for 1863 mailboxes, total surface area is;

S = 1863 × 1.8425 = 3432.5775 m²

Approximating to the nearest Sq.m gives;

S = 3433 m²

6 0

3 years ago

A graph has a constant of proportionality of 2.54. Let y represent centimeters and x represent inches. What is the unit rate of

Helga [31]

Answer: 2.54 is the rate of the given equation.

Step-by-step explanation:

Let x is the independent variable and y is the dependent variable.

Since, By the definition of proportionality,

y = k x

Where k is the constant of proportionality.

And, Here k = 2.54

Thus, the equation of line is,

y = 2.54 x

since, rate of the equation is the slope of the line.

And, the general equation of line

y = m x +c

Where, m is the slope of the line.

By comparing the equation of line y = 2.54 x with this.

The slope of the line = 2.54

Therefore, 2.54 is the rate of the given equation.

3 0

3 years ago