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3 years ago

A carpenter's tool box is made up of nails, screws,

Mathematics

2 answers:

solniwko [45]3 years ago

8 0

Answer:

Step-by-step explanation:

One way to do this follows: Find the ratio, r, which when multiplied by each of the four numbers in the ratio produces the actual number of parts present:

4r + 11r + 9r + 6r = 60

Summing these up results in 30r = 60, so r is 2.

There are 4(2), or 8, nails,

11(2), or 22, screws,

9(2), or 18, washers, and

6(2), or 12, brackets.

Note that 8 + 22 + 18 + 12 = 60 (total number of parts)

If 5 carpenters have identical boxes, there will be 5(18), or 90, total washers.

DanielleElmas [232]3 years ago

7 0

Answer:

45 total washers

Step-by-step explanation:

Looking at the ratio of 4:11:9:6, we know that there are,

4 nails in each tool box

11 screws in each tool box

9 washers in each tool box

6 brackets in each tool.

Given that there are 5 carpenters with identical tool boxes, we can find the total amount of washers by multiplying the amount of washers in each box with how many carpenters there are.

9 * 5 = 45

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Which of the following about the normal distribution is not true?

Lostsunrise [7]

Answer:

Normal distribution is a Continuous distribution.

Step-by-step explanation:

Normal Distribution:

The following information is true about normal distribution.

Theoretically, the mean, median, and mode are the same.

Its parameters are the mean, mu, and standard deviation, sigma.

About two thirds of the observations fall within plus or minus 1 standard deviation from the mean.

But normal distribution is not a discrete distribution. It is a continuous distribution.

The normal distribution is a continuous probability distribution. This has several implications for probability.
The probability that a normal random variable X equals any particular value is 0.

5 0

3 years ago

It’s you birthday and you bought a giant sandwich to feed all of your guests. The sandwich is 10 1/2 feet long and you need to f

Hoochie [10]

Answer: $1\dfrac{3}{4}\text{ feet}$

Step-by-step explanation:

Given: Length of sandwich = $10\dfrac12\text{ feet}=\dfrac{21}{2}\text{ feet}$

Total people = 14

If everyone gets a same sized piece , then length of each piece should be

$\dfrac{\text{ Length of sandwich}}{\text{Total people}}$

$=\dfrac{\dfrac{21}{2}}{14}\text{ feet}\\\\=\dfrac{21}{2\times14}\text{ feet}\\\\=\dfrac{7}{2\times2}\text{ feet}\\\\=\dfrac{7}{4}\text{ feet}\\\\=1\dfrac{3}{4}\text{ feet}$

Hence, length of each piece = $1\dfrac{3}{4}\text{ feet}$

3 0

3 years ago

Consider two competing firms in a declining industry that cannot support both firms profitably. Each firm has three possible cho

yaroslaw [1]

Answer:

a) attached below

b) ( T,T )

c) The Pure-strategy Nash equilibria are : ( N,E ) and ( E,N )

d) The mixed-strategy Nash equilibrium for Firm 1 = ( 1/3 , 0, 2/3 )

while the mixed -strategy Nash equilibrium for Firm 2 = ( 1/3 , 0, 2/3 )

Step-by-step explanation:

A) write down the game in matrix form

let: E = exit at the industry immediately

T = exit at the end of the quarter

N = exit at the end of the next quarter

matrix is attached below

B) weakly dominated strategies is ( T,T )

C) Find the pure-strategy Nash equilibria

The Pure-strategy Nash equilibria are : ( N,E ) and ( E,N )

D ) Find the unique mixed-strategy Nash equilibrium

The mixed-strategy Nash equilibrium for Firm 1 = ( 1/3 , 0, 2/3 )

while the mixed -strategy Nash equilibrium for Firm 2 = ( 1/3 , 0, 2/3 ) since T is weakly dominated then the mixed strategy will be NE

Assume that P is the probability of firm 1 exiting immediately ( E )

and q is the probability of firm 1 staying till next term ( N ) ∴ q = 1 - P.

hence the expected utility of firm 2 choosing E = 0 while the expected utility of choosing N = 4p - 2q .

The expected utilities of E and N to firm 2 =

0 = 4p - 2q = 4p - 2 ( 1-p) = 6p -2 which means : p = 1/3 , q = 2/3

4 0

3 years ago

In London today, four times the high temperature was more than twice the high temperature plus

4vir4ik [10]

Answer:

Let's define the high temperature as T.

We know that:

"four times T, was more than 2*T plus 66°C"

(i assume that the temperature is in °C)

We can write this inequality as:

4*T > 2*T + 66°C

Now we just need to solve this for T.

subtracting 2*T in both sides, we get:

4*T - 2*T > 2*T + 66°C - 2*T

2*T > 66°C

Now we can divide both sides by 2:

2*T/2 > 66°C/2

T > 33°C

So T was larger than 33°C

Notice that T = 33°C is not a solution of the inequality, then we should use the symbol ( for the set notation.

Then the range of possible temperatures is:

(33°C, ...)

Where we do not have an upper limit, so we could write this as:

(33°C, ∞°C)

(ignoring the fact that ∞°C is something impossible because it means infinite energy, but for the given problem it works)

4 0

3 years ago

The body of a 154-pound person contains approximately 2×10^2 milligrams of gold and 6×10^3 milligrams of aluminum. Based on this

hram777 [196]

Answer:

2x10^2 and 6x 10^

Step-by-step explanation:

Hope I helped UwU

3 0

3 years ago