A piece of wire is 30 2/3 inches long. How many pieces of wire can be cut from this? if each piece must be 1 7/8 inches long

The length of the base of the triangle is √(2)/6, which can also be expressed as (√(2))/6.

In this case, we know the area (1/12 square centimeters), but we don't know the height or the base. However, we can use the fact that the area is equal to 1/2 times the base times the height to set up an equation:

1/12 = 1/2 x base x height

Now we need to solve for the base. We can do this by isolating the base on one side of the equation:

1/12 = 1/2 x base x height

1/6 = base x height

At this point, we need to make an assumption about the triangle.

We can use the Pythagorean theorem to solve for the length of h:

h² + (base/2)² = (base)²/4

Simplifying this equation, we get:

h² = (base)²/4 - (base)²/4

h² = (base)²/2

h = √((base)²/2)

h = base/√(2)

Now we can substitute this expression for h into our equation for the area:

1/6 = base x height

1/6 = base x (base/√(2))

Simplifying this equation, we get:

1/6 = (base²)/√(2)

Multiplying both sides by √(2), we get:

√(2)/12 = base²

Taking the square root of both sides, we get:

base = √(√(2)/12)

Simplifying this expression, we get:

base = √(2)/6

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The parabola declining from (-2, 5) through (1, -4) and rising through (4, 5) is a function.

The relation with x-values: 2, -2, 6, 2, -6 and y-values: 11, -5, 21, 15, -15 is a function.

The relation with x-values: 4, -4, 7, -7, -4 and y-values: 3, -2, 11, 5, -5 is a function.

The relation between two ellipses with corresponding x and y values is a function.

A relation is considered a function if each input (x-value) has a unique output (y-value). Let's analyze each given relation to determine if they are functions:

A graph plots six points at (-5, 5), (-4, -4), (1, -1), (1, 1), (3, 3), and (5, 4) on the x-y coordinate plane.

This relation is not a function because the input value of 1 has two different corresponding output values: -1 and 1.

A parabola declines from (-2, 5) through (1, -4) and rises through (4, 5) on the x-y coordinate plane.

Since this description does not provide multiple output values for the same input value, this relation is a function.

x: 2, -2, 6, 2, -6

y: 11, -5, 21, 15, -15

This relation is a function because each input value corresponds to a unique output value.

{(-5, -7), (-2, -7), (7, 17), (-5, 21)}

This relation is not a function because the input value of -5 has two different corresponding output values: -7 and 21.

x: 4, -4, 7, -7, -4

y: 3, -2, 11, 5, -5

This relation is a function because each input value corresponds to a unique output value.

Two ellipses labeled x and y. 4 in x corresponds to 21 in y. 6 in x corresponds to -7 in y. 3 in x corresponds to -23 in y. -5 in x corresponds to 12 in y.

Since each input value has a unique corresponding output value, this relation is a function.

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Answer:

I agree with Emma

Step-by-step explanation:

above

Answer:

4         12

---   :     ---

15        15

I think this might be the answer, but fair warning there is a high chance I am wrong.

Answer:

the answer is 5p - 24

————

30

Answer:

15 square feet

Step-by-step explanation:

a = (1/2)bh

a = (1/2) * 6 * 5

a = 3 * 5

a = 15

15 square feet

Answer:

True

Step-by-step explanation:

Answer:

10 is a number.

Step-by-step explanation:

Used in maths and many other areas.

Answer:

Hair can grow about 1/10th of an inch.

(a) Expected utility is calculated as the weighted average of the utilities of all possible outcomes.

According to the problem, Sam's utility function is u(100) = 1 and u(200) = 2.

The lottery L1 = ( £100, w.p. 0.6; £200, w.p. 0.4 ) has two outcomes with the probabilities of 0.6 and 0.4.

Therefore, the expected utility of the lottery L1 is:

Expected utility of L1 = 0.6 × u(100) + 0.4 × u(200)= 0.6 × 1 + 0.4 × 2= 1.4

Since Sam is willing to pay at most £120 for the lottery L1, this indicates that the expected utility of L1 is worth £120 to Sam. Thus:1.4 = u(£120)

Since we know u(100) = 1 and u(200) = 2, we can linearly interpolate to find u(£120):

u(£120) = u(100) + [(120 - 100)/(200 - 100)] × (u(200) - u(100))= 1 + [(120 - 100)/(200 - 100)] × (2 - 1)= 1.3

Therefore, the expected utility of the lottery L2 = ( £100, w.p. 0.6; £120, w.p. 0.4 ) is:

Expected utility of L2 = 0.6 × u(100) + 0.4 × u(£120)= 0.6 × 1 + 0.4 × 1.3= 0.78

So, Sam's expected utility for the lottery L2 is 0.78

.(b) The risk preferences of Sam can be determined by comparing the utility of the lottery L1 and the sure outcome that gives the same expected value as the lottery L1.

The expected value of the lottery L1 is:Expected value of L1 = 0.6 × £100 + 0.4 × £200= £140

Therefore, Sam needs to be indifferent between the lottery L1 and the sure outcome of receiving £140. Since the expected utility of L1 is 1.4, Sam's utility for receiving £140 must also be 1.4.

This can be represented as:u(£140) = 1.4From part (a), we know that u(£120) = 1.3.

Therefore, the difference between the two utility values is:u(£140) - u(£120) = 1.4 - 1.3= 0.1

The difference in utility is positive but not enough to reflect risk-loving behavior. Therefore, Sam is risk-averse.

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Answer:

A parallelogram is a quadrilateral with 2 pairs of parallel sides

Answer:

B

Step-by-step explanation:

To go from B' to B , perform the inverse operation

That is the translation rule is (x - 4, y - 5 ) , then

B'(7, - 4 ) → B (7 - 4, - 4 - 5 ) → B (3, - 9 ) → option B

Answer:

x = 140

Step-by-step explanation:

in triangle SNU

angle U is 180-120 = 60

total angle of triangle is 180°

so, 180-80+60 = 40

angle S and angle P is equal because SN and PD are parallel.

so 180-40 = X

X = 140°

btw, i know i already answered this, but yee

The value of x is 140°

Answer:

Solution given;

we have

∡NSU+∡SNU=∡NUP[since exterior angle is equal to the sum of interior angle of a triangle]

∡NSU+80°=120°

∡NSU=120°-80°

∡NSU=40°

again

∡NSU=∡DPA=40°[ being corresponding angle]

again

∡DPA+DPU=180°[ sum of angle of a straight line is 180°]

40°+x=180°

x=180°-40°

x=140°

Step-by-step explanation:

Answer:

1. I,P,M,P

2. P,I,P,M

3. M,P,P,I

4. P,I,M,P

Answer:

Maria answers 85% of the questions correctly

Step-by-step explanation:

Maria had a test with 20 questions

if 17 are correct,

20 questions : 100%

17 questions : ?%

she  was 85% right

hope this helps :)

Answer:

E. 85%

Step-by-step explanation:

Total Answers: 17 + 3 = 20

Maria answered 17 questions correctly

(17 ÷ 20)×100 = 85%

No, Noah's arithmetic is not correct.

Lin is correct that when you add or multiply two complex numbers, the result can always be written in the form a + bi.

In the first example, (7+2)+(3-2), we can simplify by adding the real and imaginary parts separately: (7+3)+(2-2) = 10 + 0i, which can be written in the form a + bi.

In the second example, (2+2)(2+2), we can expand using FOIL: 2(2) + 2(2i) + 2i(2) + 2i(2i) = 4 + 4i + 4i - 4 = 8i, which can also be written in the form a + bi.

Therefore, Noah's exceptions are not valid, and the statement made by Lin is true.

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Answer:

2.3%

Step-by-step explanation:

jdbxjdjebdudbbdjdbdbd

If "5-winners" are selected, then probability of selecting "all-men" is (c) 0.00138.

The "Probability" is find by dividing number of "favorable-outcomes" by total number of "possible-outcomes".

The probability of selecting all-men from a group of 20 men and 49 women, without replacement, can be calculated as follows:

First, we need to find the total number of ways of selecting 5 winners from 69 contestants.

It is calculated as:

⇒ C(69, 5) = 69!/(5! × (69 - 5)!) = 11,238,513

Next, we need to find the number of ways of selecting 5 men from 20 men.

Now, we divide the number of ways of selecting 5 men by the total-number of ways of selecting 5 winners to get the probability of selecting all men:

So, P(all men) = C(20, 5)/C(69, 5) = 15,504/11,238,513 ≈ 0.00138

Therefore, the required probability is 0.00138, which is option(c).

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The given question is incomplete, the complete question is

Among the contestants in a competition are 49 women and 20 men. If 5 winners are selected, what is the probability that they are all men, Round to five decimal places.

(a) 0.01133

(b) 0.18061

(c) 0.00138

(d) 0.00813

Answer:

x = - 1

Step-by-step explanation:

Length ( l ) = 2x + 8 cm

Width / Breadth ( b ) = 2 cm

Area ( rectangle ) = 12 cm

Formula : -

Area ( rectangle ) = lb

12 = ( 2x + 8 ) ( 2 )

Divide 2 on both sides,

12 / 2 = ( 2x + 8 ) ( 2 ) / 2

6 = 2x + 8

2x + 8 = 6

2x = 6 - 8

2x = - 2

x = - 2 / 2

x = - 1

Answer:

150 front tickets and 250 back tickets

Step-by-step explanation:

make 2 equations 25x + 15y = 7500 and x + y = 400 and do substitution on a graphing calculator or by your self.

let me know if this helps

We can conclude that it is extremely unlikely to obtain a sample mean greater than 904.8 minutes if the design engineer's claim about the population variance and mean is true.

We can use the Central Limit Theorem to approximate the distribution of the sample means.

Under the given assumptions, the mean of the sampling distribution of the sample means is equal to the population mean, which is 886886 minutes, and the standard deviation of the sampling distribution of the sample means is equal to the population standard deviation divided by the square root of the sample size, which is\(\sqrt{84648464/145145} = 41.77\) minutes.

Therefore, we can standardize the sample mean using the formula:

\(z = (\bar{x} - \mu) / (\sigma / \sqrt{n } )\)

where \(\bar{x}\)  is the sample mean, \(\mu\)  is the population mean, sigma is the population standard deviation, and n is the sample size.

Plugging in the values we get:

z = (904.8 - 886886) / (41.77) = -21115.47

The probability of getting a sample mean greater than 904.8 minutes can be calculated as the area under the standard normal curve to the right of z = -21115.47.

This probability is essentially zero, since the standard normal distribution is symmetric and nearly all of its area is to the left of -6.

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Answer: Each lemon costs $0.75 cents (seventy five cents)

Step-by-step explanation:

0.50 x 8 is the same as "half" of 8. This is $4. That is too low so.. 0.75 cents

6 ÷ 8 = 0.75

Each lemon costs $0.75 or 75 cents.

Answer:

The first one

Step-by-step explanation:

If you are adding 15 less to 3 of n, it would be 3n-15 because 3 of n is 3n. After, you add n as well, so you get 3n-15+n. Your result is 101 so it should be on the other side of the equation.

A linear equation giving the value of the equipment in terms of the time t is calculated to be v = 117000 - 16714.3t.

The value of the colour printer is 117000 $ and machine has no value after 7 years.

As it is given that the machine has no value after 7 years. That mean rate is decreasing every year. So, the decreasing rate is, 117000/7 = 16714.3.

Let us assume v is the value of the machine and t is the time. Then, the linear equation for the given problem is, v = 117000 - 16714.3t

Thus, the required linear equation is v = 117000 - 16714.3t.

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Answer: the answer is 7

Step-by-step explanation: the lowest number is 3 and the biggest one is 10 so you substract 10-3 and you get 7

Answer:

7.

Step-by-step explanation:

In order to find the range, you need to:

1. Arrange the set of numbers in order from smallest to largest.

2. Identify the smallest and largest numbers in the set.

3. Subtract the smallest number from the largest.

Therefore, your answer is 7.

Happy to help. :)

Answer:

if its the question on edg and its 4(x+20)= 3  

x=44

the awnser 44

Step-by-step explanation:

its just 44

The number of bits transferred or received per unit of time is referred to as the "bit rate."

The term "bit rate" refers to the rate at which bits of data are transferred or received in a given unit of time. It measures the speed or capacity of a digital communication channel to transmit information.

Bit rate is typically expressed in bits per second (bps) or multiples thereof, such as kilobits per second (Kbps) or megabits per second (Mbps). It represents the amount of data that can be transmitted or received in a specific timeframe.

For example, a bit rate of 1 Mbps means that one million bits can be transferred or received in one second. Higher bit rates indicate a faster data transmission or reception capability.

Bandwidth, on the other hand, refers to the capacity of a communication channel to carry data and is typically measured in hertz (Hz). It represents the range of frequencies that can be transmitted through the channel.

Wireless fidelity (Wi-Fi) is a technology standard that enables wireless local area networking. While Wi-Fi can be used to transmit data wirelessly, the specific term for the rate at which data is transferred or received is still referred to as the "bit rate."

In summary, the term "bit rate" accurately describes the number of bits transferred or received per unit of time in a digital communication system.

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Answer:

Total is 23 times 7 which is 161 pounds

Step-by-step explanation:

you do 7 × 23 and u get 161

and thats how you figure it out