Zinc and copper are mixed in ratio of 2:3 to make bars . what is amount of each metal in 144 lb bars

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is \(12-0=12\).

\(\bold{12}\)

Answer:

we need to add \(a^{2}\) to make it a perfect square.

Step-by-step explanation:

since we know

\(a^{2}+b^{2}-2ab=(a-b)^{2}\)

then after compairing it with x² - 2xa

we have;

missing term as   \(a^{2}\)

hence we need to add \(a^{2}\) to make it a perfect square.

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The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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Answer:

b = -6 + 10/7 = -32/7

Step-by-step explanation:

So any line can be defined with a slope and a point. The line is perpendicular to y = 7/5x + 6 which has a slope of 7/5, but we want to find the slope of the line perpendicular. So we take the opposite inverse of 7/5, which is -5/7. So -5/7 is going to be the slope of the line.

Plug this in to the formula for a line:

y = -5/7x + b.

Now we'll solve for b. We were given that it passes through the point (2, -6) meaning that when x = 2, y = -6.

Plug this in and solve for b.

-6 = -5/7 (2) + b

-6 = -10/7 + b

b = -6 + 10/7 = -32/7

The range of the random variable is from 0 to 17,000.

The range of the random variable is the set of all possible values that the variable can take on. In this case, the variable is the number of people who carry the gene ifi202. Since 17,000 people are being tested, the range of the variable is from 0 to 17,000.

This is because it is possible that none of the people tested carry the gene, or that all 17,000 people tested carry the gene. Any number of people between 0 and 17,000 could also carry the gene, so the range of the variable is 0 to 17,000.

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Answer:

the multiplacative inverse of ⅔ is 3/2 because when we multiply them both it returns 1

2/3 x 3/2 = 1

Answer:

C

Step-by-step explanation:

Move 2x to the right side of the equation and it becomes -7y= -2x + 24 and then divide by -7 and then it becomes y = 2/7 x -24/7

Answer:

2x - 7y = 24

2x - 24 = 7y

7y = 2x - 24

y = (2x - 24)/7

= 2/7x - 24/7

Answer:

Step-by-step explanation:

Compounded interest amount formula:

Given:

1. Compounded quarterly

2. Compounded annually

Answer:

Answer:

1. $1953.57

2. $1923.66

Step-by-step explanation:

Compounded interest amount formula:

A = P(1 + r/n)^(nt)

Given:

P = $956

r= 6% = 0.06

. t = 12 years

n = 4 and n = 1

1. Compounded quarterly

A = 956(1 + 0.06/4)^(4*12) = 956(1.015)^48 = 1953.57

2. Compounded annually

· A = 956(1+ 0.06)^12 = 1923.66

The total number of possible outcome combinations for the 4 teams with win, lose, and draw results is 81.

To determine the number of outcome possibilities for 4 teams with win, lose, and draw results, we can use the following steps:

1. Identify the number of teams: 4
2. Identify the number of possible outcomes for each team: win, lose, draw (3 outcomes)
3. Calculate the total number of outcome possibilities using the formula: total outcome possibilities = (number of outcomes per team) ^ (number of teams)

In this case, the total outcome possibilities are:

Total outcome possibilities = 3^4 = 81

So, there are 81 possible outcome combinations for the 4 teams with win, lose, and draw results.

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The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

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Answer:

22%

Step-by-step explanation:

The percentage of tax can be found by calculating the percent change.

new - old / old

6084 - 7800 / 7800

= -0.22 or -22%

This means the price decreased by 22%, meaning you paid 22% in taxes.

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The passage indicates that Edward Crimsworth’s behavior was mainly caused by his jealousy of the narrator’s apparent superiority.

Choices (A), (B), and (D) are incorrect because they describe the narrator's present relationship with his boss, while the author asks about their past relationship.

When a person exists reading for comprehension, that person exists basically trying to:

During the course of the first paragraph, the narrator’s focus shifts from generalization about job dissatisfaction to the specifics of his own situation.

The references to “shade” and “darkness” at the end of the first paragraph mainly have which effect they evoke the narrator’s sense of dismay.

The passage indicates that Edward Crimsworth’s behavior was mainly caused by his jealousy of the narrator’s apparent superiority.

The passage indicates that when the narrator began working for Edward Crimsworth, he viewed Crimsworth as a  sympathetic ally.

Choices (A), (B), and (D) are incorrect because they describe the narrator's present relationship with his boss, while the author asks about their past relationship.

Therefore the correct answer is option C) Lines 54-56 (“Day . . . slumber”).

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Answer:

24 square units

Step-by-step explanation:

the triangle is a right triangle with base as 8 and height as 6 so solve area like any other triangle

8*6=48

48/2=24

Answer:

41

Step-by-step explanation:

an = a1 + (n-1)d

a_n = the nᵗʰ term in the sequence = 10

a_1 = the first term in the sequence = 5

d = the common difference between terms = 4

a10 = 5 + (10-1)4

a10 = 5 + (9)4

a10 = 5 + 36

a10 = 41

Answer:

what do you mean

Step-by-step explanation:

Answer:

6 - 2t < -4

Step-by-step explanation:

:)

A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.

Using sample data, hypothesis testing is used to determine a hypothesis's credibility. It is represented as H0, and it is sometimes referred to as the "null."

Given; The average thickness and standard deviation of a sample of 50 eyeglass lens samples are 3.05 millimeters and.34 millimeters, respectively.

Such lenses should have a true average thickness of 3.20 mm. Utilizing a =.05

False hypothesis H0: Alternative hypothesis: mu1= mu2 HA: 'mu1' and 'ne'

Sample Size 50 Sample Mean 3.05 Sample Standard Deviation 0.34 Intermediate Calculations Standard Error of the Mean 0.0481 Degrees of Freedom 49 t Test Statistic -3.1196 Two-Tail Test Lower Critical Value -2.0096 Upper Critical Value 2.0096 p-Value 0.0030 Reject the null hypothesis

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Answer:

7.8

Step-by-step explanation:

60 × 13%

= 60 × 0.13

= 7.8

Answer:

The possible combinations of two letters is 12

Step-by-step explanation:

Here, we want to count the possible combinations of two letters

Now, for the first letter any point in time, we have 4 letters to pick from,

For the second letter we have 3 letters to pick from

So therefore, we have the possible combinations as;

4 * 3 = 12

Answer:

6

Step-by-step explanation:

The method you were doing was for permutation (nPr) and the question needs you to do the method for combinations (nCr).

Answer:

The rate of the jet in still air is 852 miles per hour. The rate of the wind is 85 miles per hour.

Step-by-step explanation:

Let suppose that jet travels uniformly, that is, at constant speed, the expressions for its travels against the wind and with the wind are, respectively:

Against the wind

\(v -u = \frac{\Delta x_{1}}{\Delta t_{1}}\)

With the wind

\(v +u = \frac{\Delta x_{2}}{\Delta t_{2}}\)

Where:

\(v\) - Speed of the jet in still air, measured in miles per hour.

\(u\) - Speed of wind, measured in miles per hour.

\(\Delta x_{1}\), \(\Delta x_{2}\) - Distances travelled by jet against the wind and with the wind, measured in miles.

\(\Delta t_{1}\), \(\Delta t_{2}\) - Times against the wind and with the wind, measured in hours.

By adding both expressions:

\(2\cdot v = \frac{\Delta x_{1}}{\Delta t_{1}}+\frac{\Delta x_{2}}{\Delta t_{2}}\)

\(v = \frac{1}{2}\cdot \left(\frac{\Delta x_{1}}{\Delta t_{1}} + \frac{\Delta x_{2}}{\Delta t_{2}} \right)\)

Given that \(\Delta x_{1} = 2301\,mi\), \(\Delta t_{1} = 3\,h\), \(\Delta x_{2} = 2811\,mi\) and \(\Delta t_{2} = 3\,h\), the speed of the jet is:

\(v = \frac{1}{2}\cdot \left(\frac{2301\,mi}{3\,h}+\frac{2811\,mi}{3\,h} \right)\)

\(v = 852\,\frac{mi}{h}\)

The rate of the jet in still air is 852 miles per hour.

Lastly, the rate of the wind is:

\(u = \frac{\Delta x_{2}}{\Delta t_{2}}-v\)

\(u = \frac{2811\,mi}{3\,h}-852\,\frac{mi}{h}\)

\(u = 85\,\frac{mi}{h}\)

The rate of the wind is 85 miles per hour.

Answer: $\sqrt[8]{7^7}$

Step-by-step explanation:

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Answer:

si yo lo sé tú también cierto

Answer:

3.92*10^3mm

Step-by-step explanation:

In the diagram it gives you 7900mm. There is a figure which was given underneath written 900mm. use 7900 to subtract 900 you will get 7000. Then you can use the Pythagoras theorem to solve it, with a= height, b=5800mm and c=7000mm where, a^2+b^2=c^2.

Answer:

3919 mm

Step-by-step explanation:

Length of hypotenuse = 7900 - 900 = 7000 mm

Base = 5800 mm

Let the height of the triangle be h mm

Therefore, by Pythagoras theorem:

\( h = \sqrt{7000^2 - 5800^2} \)

\( h = \sqrt{49000000- 33,640,000} \)

\( h = \sqrt{15,360,000} \)

\( h = 3,919.18359\: mm\)

\( h = 3,919\: mm\)

To find the revenue and profit functions for Gymnast Clothing's soccer cleats, we start with the cost function C(x) = 3,200 + 5x + 0.1x^2, we get x = 575, where x represents the number of pairs of cleats produced.

The cleats are sold at $120 per pair. To determine the profit-maximizing number of pairs to manufacture, we need to find the quantity that maximizes the profit function.The revenue generated by selling x pairs of cleats is given by the revenue function R(x) = 120x, where 120 represents the selling price per pair. The profit is calculated by subtracting the cost from the revenue: Profit(x) = R(x) - C(x).

To determine the profit function, we substitute the revenue and cost functions into the profit equation:

Profit(x) = 120x - (3,200 + 5x + 0.1x^2)

Simplifying the equation, we get:

Profit(x) = 120x - 3,200 - 5x - 0.1x^2

Profit(x) = -0.1x^2 + 115x - 3,200

To find the number of pairs that maximizes the profit, we take the derivative of the profit function with respect to x and set it equal to zero:

Profit'(x) = -0.2x + 115 = 0

Solving for x, we get x = 575.

Since the number of pairs of cleats must be between 0 and 500, we conclude that the profit-maximizing quantity is 500 pairs of cleats. Therefore, Gymnast Clothing should manufacture 500 pairs of cleats to maximize their profit.

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Answer:

Possibly C, but im sorry if im wrong

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You have to add you exponents and the missing exponent which is 14 plus 2 equals 16

Answer:

I need the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sample is the part of the population that somebody wants to study. therefore, the sample is the 100 male students interviewed

Answer:

= x2 + x -6

= 3x -6

hope this helps. have a good day.

Step-by-step explanation

x2 + x - 6

or, X2 + 3x - 2x - 6

or, X (X+3) - 2(x+3)

or, (x-2) (X+3)

the answer is (x-2) (X+3)