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2 years ago

Metal A has a density of 12.7 g/cm3.

Mathematics

1 answer:

stira [4]2 years ago

5 0

Using the given information, the density of metal B is 8.58 g/cm³

<h3>Calculating density </h3>

From the question, we are to determine the density of metal B

From the given information,

55 g of metal A is combined with metal B to create an alloy with mass 90 g

∴ Mass of metal B in the alloy = 90 g - 55 g = 35 g

Now, we will determine the volume of metal A in the alloy

Using the formula,

Density = Mass / Volume

∴ Volume = Mass / Density

Volume of metal A in the alloy = 55/12.7

Volume of metal A in the alloy = 4.33 cm³

Then, we will determine the volume of the alloy

Volume of the alloy = 90/10.7

Volume of the alloy = 8.41 cm³

∴ Volume of metal B in the alloy = 8.41 cm³- 4.33 cm³

Volume of metal B in the alloy = 4.08 cm³

Now, for the density of metal B

Density = mass / volume

Density of metal B = 35 / 4.08

Density of metal B = 8.58 g/cm³

Hence, the density of metal B is 8.58 g/cm³.

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A sales manager wanted to determine if increasing sales commissions by 5% would increase employee satisfaction. Her analyst dete

Dafna11 [192]

Answer:

c. We have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.

Step-by-step explanation:

Pvalue is less than the alpha-level:

If the pvalue is less than the alpha-level, we have that there is sufficient evidence of the hypothesis for the population mean/median/standard deviation we are testing.

In this question:

Pvalue less than the alpha-level, so there is evidence that there is a difference in the population median. This means that the correct answer is given by option C.

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3 years ago

Pete found 5/6 of a party sand which in the refrigerator. He took 1/2 of the 5/6 of the sand which to his neighbors. How much of

Y_Kistochka [10]

Answer:

1/2

Step-by-step explanation:

Pete found 5/6 of a party sand which in the refrigerator. He took 1/2 of the 5/6 of the sand which to his neighbors.

This is calculated as:

1/2 × 5/6

= 5/12

Hence, he took 5/12 of the sand

How much of the original sand which did pete take to his neighbors.

Let the original sand be represented as 1

Hence:

5/6 = 5/12 sand

1 = x

Cross Multiply

5/6x = 1 × 5/12

x = 5/12 ÷ 5/6

x = 5/12 × 6/5

x = 1/2

Therefore, pete took 1/2 of the original sand to his neighbors.

3 0

2 years ago

Can you guys graph y= 2/3x -4 ?

Brut [27]

Hope this graph helps!

3 0

3 years ago

A machine is shut down for repairs if a random sample of 100 items selected from the daily output of the machine reveals at leas

Harlamova29_29 [7]

Answer:

0.7995 = 79.95% probability that the sample will contain at least three defectives.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

Suppose that a random sample of 20 items is selected from the machine.

This means that $n = 20$

The machine produces 20% defectives

This means that $p = 0.2$

Mean and standard deviation:

$\mu = E(X) = np = 20*0.2 = 4$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.2*0.8} = 1.79$

Probability that the sample will contain at least three defectives

Using continuity correction, this is $P(X \geq 3 - 0.5) = P(X \geq 2.5)$ , which is 1 subtracted by the pvalue of Z when X = 2.5. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2.5 - 4}{1.79}$

$Z = -0.84$

$Z = -0.84$ has a pvalue of 0.2005

1 - 0.2005 = 0.7995

0.7995 = 79.95% probability that the sample will contain at least three defectives.

4 0

3 years ago

A number and another number which is 3 times 1 less than the first number add to 17. what are the numbers?

HACTEHA [7]

The obtained two numbers by substitution method are 5 and 12.

<h3>What is substitution method?</h3>

The algebraic method for solving simultaneous linear equations is the substitution method.

The value of one variable through one equation is substituted in the second equation, as the name implies.

To verify an equation system by substitution, enter your x and y values into the initial equations.
Your answer is accurate if both simplification expressions are true.

Let the first number be 'x'.

Let the second number be 'y'

From the given condition that second number is 3 times 1 less than the first number.

That is;

y = 3(x - 1)

Now the sum of both number are given as 17.

x + y = 17.

Use substitution method, and put the value of y in the total sum.

x + y = 17.

x + 3(x - 1) = 17

Simplify the given equation;

x + 3x - 3 = 17

4x = 17 + 3

4x = 20

x = 5 (first number)

Put the value of x in y to find the value.

y = 3(x - 1)

y = 3(5 - 1)

y = 12 (second number)

Therefore, the values of two numbers are 5 and 12.

To know more about the substitution method, here

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6 0

1 year ago