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3 years ago

Justine answered 68 questions correctly on a 80-question test.

1 answer:

5 0

For A the answer is 85% correct. Then 15% incorrect. I got the number correct by taking 68 and dividing by 80. To get the number incorrect I took the 15 other questions (80-68) and did 12 divided by 80 to get the 15% incorrect.

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The diameter of the dot produced by a printer is normally distributed with a mean diameter of 0.002 inch. Suppose that the speci

Leni [432]

Answer:

0.0002 inch

Step-by-step explanation:

The empirical rule of the normal distribution, the 68-95-99.7 rule, means

if the mean is μ and the standard deviation is σ,

68% of data lies within μ - σ and μ + σ,

95% of data lies within μ - 2σ and μ + 2σ,

99.7% of data lies within μ - 3σ and μ + 3σ.

From the question, μ = 0.002.

The required range is 0.0014 to 0.0026.

With a probability of 0.9963, then 0.9963 × 100% = 99.63% should lie within the range. This approximately corresponds to μ - 3σ and μ + 3σ.

μ - 3σ = 0.0014

0.002 - 3σ = 0.0014

3σ = 0.0006

σ = 0.0002

Hence, the standard deviation is 0.0002 inch

We can check with the other end of the range:

μ + 3σ = 0.0026

3σ = 0.0026 - 0.002

3σ = 0.0006

σ = 0.0002

7 0

3 years ago

Below is a drawing of a wall that is to be covered with either wallpaper or paint. The wall is 8 ft. high and

Snowcat [4.5K]

84 sq. ft of the wall has to be covered with paint or wallpaper.

Step-by-step explanation:

Step 1: Find the area of wallpaper to be covered by calculating the area of the wall and subtracting the areas of the window, mirror and fireplace from it. All are rectangular in shape with are given by A = length × width

Area of the wall = 8 × 16 = 128 ft²

Area of the window = 18/12 × 14 = 1.5 × 14 = 21 ft² (since 1 ft = 12 in)

Area of the fireplace = 5 × 3 = 15 ft²

Area of the mirror = 4 × 2 = 8 ft²

Step 2: Calculate the area to be painted or covered with wallpaper

Area of the wall to be covered with paint or wallpaper = 128 - (21 + 15 + 8)

= 128 - 44

= 84 ft²

5 0

4 years ago

Read 2 more answers

If f(x) = 7 + 4x and g(x)=1/2x, what is the value of (f/g)(5)?

Romashka [77]

<h2>Answer:</h2>

$d. \ \boxed{270}$

<h2>Step-by-step explanation:</h2>

In this exercise we need to make a division and evaluate the new function at $x=5$ . so we have two functions, namely:

$f(x)=7+4x \ and \\ \\ g(x)=\frac{1}{2x}$

Therefore:

$f(5)=7+4(5)=27 \\ \\ g(5)=\frac{1}{2\times 5}=\frac{1}{10}$

So:

$(f/g)(5)=\frac{27}{\frac{1}{10}}=270$

3 0

4 years ago

Read 2 more answers

The hypotenuse of a right triangle is twice the length of one of its legs. Th length of the other leg is three feet. Find the le

IgorLugansk [536]

Let
x----> the length side of the hypotenuse
y----> the length side of the unknown leg

we know that
x=2*y----> equation 1
applying the Pythagoras Theorem
x²=y²+3²-----> equation 2

substitute equation 1 in equation 2
[2*y]²=y²+3²----> 4*y²-y²=9-----> 3*y²=9----> y²=3
y=√3 ft
x=2*y----> x=2*√3 ft

the answer is
the lengths of the three sides are
hypotenuse=2√3 ft
one leg=√3 ft
other leg=3 ft

7 0

3 years ago

Can you help me? My answer was C but I am not sure

zvonat [6]

Imagine the coordinates as x and y. So if you go out to 2 on the x axis, and up 0 you have one dot. Now go out 2 on the x axis, and up 5 on the y axis. The two dots when connected are vertical. I believe you are correct.

6 0

3 years ago