An alloy is made with 3 gram of silver, 18 gram of copper, 6 gram of aluminium and 3 gram od zinc. Find what part of the total is used for each metal.​

Yes, given explanation is correct.if the calculated test statistic is less than -1.645 then the null hypothesis can be rejected.

For test the claim that the proportion of people who smoke is less than 22.5%.

A one-tailed test of hypothesis can be used. Specifically, a one-sample z-test for a proportion can be used where:

Null hypothesis: p ≥ 0.225 (the proportion of people who smoke is equal to or greater than 22.5%)

Alternative hypothesis: p < 0.225 (the proportion of people who smoke is less than 22.5%)

The test statistic for the one-sample z-test for a proportion is calculated as:

z = (p - P0) / √[(P0 × (1 - P0)) / n]

where p is the sample proportion, P0 = the hypothesized proportion under the null hypothesis and n = The sample size.

If the calculated test statistic falls in the rejection region which is determined by the chosen significance level (e.g., alpha = 0.05) then the null hypothesis can be rejected and it can be concluded that there is evidence to support the claim that the proportion of people who smoke is less than 22.5%.

For a one-tailed test with alpha = 0.05, the critical value is -1.645.

Hence, if the calculated test statistic is less than -1.645 then the null hypothesis can be rejected.

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Answer:

1<x≤3

Step-by-step explanation:

Answer:45

Step-by-step explanation:!!

Answer:

8) 25.12

9) 15.07

10) 48.98

11) 1962.5

12) 20

13) r = 8.5

14) diameter: 72 radius: 36

Answer:

\(x^2+3x+8\)

\(15936\)

Step-by-step explanation:

\(\left(x+2\right)^2-\left(x-4\right)\)

\(\left(x+2\right)\left(x+2\right)-\left(x-4\right)\)

\(x^2+2x+2x+4-(x-4)\)

\(x^2+4x+4-\left(x-4\right)\)

\(x^2+4x+4-x+4\)

\(x^2+3x+8\)

\(1000^2-992^2\)

\(1000000-984064\)

\(15936\)

Answer: 140°

Step-by-step explanation:

- all straight lines are 180°

- since ACD and DCB help to create the straight line they must equal 180° when combined

- so 180 - 40 = 140

- therefore, ACD is 40° and DCB is 140°

hope this helps :)

Answer:

Step-by-step explanation:

\(volume=\frac{x^{2} +11x+30}{x^{2} +7x+6} \times \frac{3x}{8} \times \frac{x^{2} -1}{6x^3+30x^{2} } \\=\frac{x^{2} +6x+5x+30}{x^{2} +6x+x+6} \times \frac{3x}{8} \times \frac{(x+1)(x-1)}{6x^{2} (x+5)} \\=\frac{x(x+6)+5(x+6)}{x(x+6)+1(x+6)} \times \frac{3x}{8} \times \frac{(x+1)(x-1)}{6x^{2} (x+5)} \\=\frac{(x+6)(x+5)}{(x+6)(x+1)} \times \frac{3x}{8} \times \frac{(x+1)(x-1)}{6x^{2} (x+5)} \\=\frac{x-1}{16x}\)

For an appropriate use the uniform distribution is to describe a continuous random variable x when relative frequencies of all possible values of x are about the same. So, option(d) is right one.

The uniform distribution is a distribution in which all values are equal. The interval [a,b] of a continuous variable X is said to be divided into one or four parts, meaning that all values in the distribution are equal or equal. If the probability density function equals f(x) = 1/(b−a), x∈[a,b] and is 0 elsewhere, we write X∼U(a,b). A curve is "uniform" when all events have the same probability. That is all occurrences of events have the same frequency. Accordingly, the correct answer is option (c).

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Answer: r=4.22

Step-by-step explanation:

Answer:

The probability is 0.933

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)/SD

x = 4

mean = 5.5

SD = 1

z-score = (4-5.5)/1 = -1.5

So we proceed to get the probability

This is;

P( z > -1.5)

we can get this from the standard normal distribution table

That will be

P(z > -1.5) = 0.93319

To the nearest thousandth, this is 0.933

The cost to move in for Victoria and Michael is $7,645.

The cost to move into the apartment for Victoria and Michael can be found by calculating the sum of the application deposit, credit report cost, security deposit, first and last month's rent, and the broker fee.

Using the given information:

$150 is the application deposit

$35 is the cost of the credit report

Security deposit is 1 month's rent which is $2,200

First and last month's rent are also $2,200 each.

Thus, the total amount for these two months will be $4,400

The broker charged 2.5% of the yearly rent.

The yearly rent is $2,200 × 12 months = $26,400.

Therefore, the broker fee will be 2.5% of $26,400 which is $660.

Total cost to move in = $150 + $35 + $2,200 + $2,200 + $660 + $2,200 = $7,645

Therefore, the cost to move in for Victoria and Michael is $7,645.

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Answer:

1: n= 80

2: a= -6

3: s= 8

(a) P(X ≤ 2) = F(2) = 1 + ln(2/7) = -0.281

(b)The probability of the event "X is between 2 and 3" is 0.405

(c) The probability density function (pdf) of X is 0 for x ≤ 0, 1/(x ln(7)) for 0 < x ≤ 7, and 0 for x > 7.

(a)Given continuous rv X's cdf is as follows: 0 for x ≤ 0, 1 + ln(x/7) for 0 < x ≤ 7, and 1 for x > 7.

Therefore, to solve this question, we first look at the given range of X .The probability of the event "X is less than or equal to 2" can be calculated using the cdf F(2) as follows:

P(X ≤ 2) = F(2) = 1 + ln(2/7) = -0.281 rounded to three decimal places.

(b)The probability of the event "X is between 2 and 3" can be calculated using the cdf F(3) as follows:

P(2 ≤ X ≤ 3) = F(3) - F(2) = (1 + ln(3/7)) - (1 + ln(2/7)) = ln(3/2) = 0.405 rounded to three decimal places.

(c)The pdf of a continuous rv can be obtained by differentiating its cdf with respect to x.

F(x) = 0 x ≤ 0F(x) = 1 + ln(x/7) 0 < x ≤ 7F(x) = 1 x > 7

Differentiating the cdf F(x) with respect to x, we can get the pdf f(x) of rv X.

Therefore, f(x) can be calculated as follows:

f(x) = 0 for x ≤ 0f(x) = 1/(x ln(7)) 0 < x ≤ 7f(x) = 0 for x > 7

Hence, the probability density function (pdf) of X is 0 for x ≤ 0, 1/(x ln(7)) for 0 < x ≤ 7, and 0 for x > 7.

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Answer:

76,650

Step-by-step explanation:

Answer: 187, 565

Step-by-step explanation:can i have brainliest?

Answer: 5%

Step-by-step explanation:

Probability for any event = \(\dfrac{\text{Number of favorable outcomes}}{\text{total outcomes}}\)

Given: Number of defective calculators = 25

Total calculators = 500

The probability that a calculator chosen at random will be defective= \(\dfrac{25}{500}\)

\(=0.05\)

\(=0.05\times100\%\\\\= 5\%\)

Hence, the required probability = 5%

Step-by-step explanation:

6(a+2)+2(a-1)

=6a+12+2a-2

=8a+10

Ans: 8a+10

Answer:

its the only way to get the monkey out of the cage

Step-by-step explanation:

u gave to free the monkes

No, a square matrix with two identical columns is not invertible.

For a square matrix to be invertible (or non-singular), it must have linearly independent columns (or rows). In other words, each column (or row) of the matrix must be unique and not a linear combination of the other columns (or rows).

If two columns of a square matrix are identical, it means that one column is a scalar multiple of the other. This results in linear dependence between the columns, and the matrix does not have full rank.

Since an invertible matrix must have full rank, a square matrix with two identical columns cannot be invertible.

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Answer:

450 more words in the thirty minutes.

Answer:

Maria will type 450 more words than Helene

Step-by-step explanation:

a. This study is experimental because the experimenters are manipulating the amounts of the active ingredients in the compound to determine its effect on the relief of severe cases of hay fever.

Based on the given experiment of developing a new compound for the relief of severe cases of hay fever the following is deduced:

a. This study is experimental because the experimenters are manipulating the amounts of the active ingredients in the compound to determine its effect on the relief of severe cases of hay fever.

b. Factors, factor levels, and factor-level combinations: The two active ingredients in the compound are the factors, and they each have three levels (low, medium, and high), resulting in nine factor-level combinations.

c. A completely randomized design is being implemented in this study, as the 18 volunteers were randomly assigned to each of the treatment combinations.

d. The basic unit of study is the 18 volunteers who were tested with different treatment combinations.

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Answer:

x = 40

Step-by-step explanation:

\(3x \degree = 120 \degree \\(vertical \: \angle s) \\ \\ x \degree = \frac{120 \degree}{3} \\ \\ x \degree = 40 \degree\\ \\ x = 40\)

The insect population after five days is 1645 in population of insects increases at a rate of 290+8t+0.6t2 insects per day.

A total of 290+8t+0.6t2 insects are added to the insect population per day. If there are P insects in the population,

then dP/dt = 290 + 8 + 0.6

since there are P insects at t=0, then

\(\int\limits^5_0\)\({dP = (290 + 8 + 0.6) (290+8t+0.6t2)dt}\) [after 5 days]

P(5) -V(0) = 290(5)+ 4t2 + t3/5)

P= 290t + 4t2 + t3/5) (5)

Insects: 2+ (5) 3/5 - 200 (0) + 5 (0) - 2+ (0) 3/5 P(5) - 70

= 1450 + 100 + 25-0 P(5)

= 70 + 1575 P(5) = 1645.

In the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations, calculus, also known as infinitesimal calculus or "the calculus of infinitesimals," is the study of continuous change in mathematics.

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Answer:

container A

Step-by-step explanation:

In Container A, we can plot the points (0,60) adn (2, 35)

The slope is :

\(m_A = \frac{y_2-y_1}{x_2-x_1} \\\\= \frac{35-60}{2-0} \\\\= \frac{-25}{2}\\ \\m_A = -12.5\\\)

For container B, the slope is:

\(m_B = \frac{y_2-y_1}{x_2-x_1} \\\\= \frac{32-54}{3-1} \\\\= \frac{-22}{2}\\ \\m_B = -11\\\)

The negative sign of the slope indicates the direction of the slope

\(|m_A| = 12.5\\\\|m_B| = 11\)

12.5 > 11

The slope of container A is steeper than container B

Therefore, the water is draining out of container A at a faster rate than container B

The pair (52,20) is the one that can be expected to represent the inverse relationship between the functions.The correct answer is option B.

When verifying whether a function represented in another table is the inverse of a given cost function, we need to check if the ordered pairs in the second table correspond to the inverse relationship with the cost function. In this case, we have the options (20,20), (52,20), (20,52), and (52,52).

To determine the inverse of a function, we need to swap the x and y values of the original function. If we evaluate the cost function at the x-value of the original function and get the y-value of the original function, it indicates that we have found the inverse.

Looking at the options, the only pair that meets this criterion is (52,20). If we evaluate the cost function at x=52 and obtain y=20, and if the original function evaluates to x=20 when y=52, then it suggests an inverse relationship.

Therefore, the pair (52,20) is the one that can be expected to represent the inverse relationship between the functions. The other options do not satisfy the condition for an inverse relationship between the given cost function and the represented function in the table.

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The probable question may be:

When verifying that a function represented in another table is the inverse of the given cost function, which ordered pair can be expected?

A. (20,20)

B. (52,20)

C. (20,52)

D. (52,52)

Answer:

angle WSV = 37°

Step-by-step explanation:

Angle RSU and Angle VST are verticle angles, which means they have the same measure.

Angle VST = 53°

Since SW is perpendicular to RT, that means angle WST is a right angle (90°).

Subtract angle VST from 90°.

90 - 53 = 37°

angle WSV = 37°

The area of the right triangle with side lengths 8 ft, 15 ft, and 17 ft can be calculated. The correct answer option is (b) 68 sq ft.

To find the area of a right triangle, we can use the formula A = (1/2) * base * height, where the base and height are the two sides that form the right angle. In this case, the longest side, which is 17 ft, is opposite the right angle.
The other two sides of the triangle are 8 ft and 15 ft. We can identify the base and height by choosing any two sides that are perpendicular to each other. Here, we can take 8 ft as the base and 15 ft as the height or vice versa.
Using the formula for the area of a right triangle, we have:
A = (1/2) * base * height
= (1/2) * 8 ft * 15 ft
= 60 sq ft
Therefore, the area of the right triangle is 60 square feet, which corresponds to option (a) in the given choices.

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Answer:

Mean

Step-by-step explanation:

The median is only the middle part of the set of numbers (from the smallest number to the biggest.) if the slowest time is 3 or 4 in that set of numbers then well bad luck I guess, but for mean it is all of them added up then divided by 6 ( the amount of numbers) so I would say mean.

Answer:

Step-by-step explanation:

1. 15

2. 40

Answer:

B

Step-by-step explanation:

ita only b .............

The equations that are equivalent to (5x + 6)2 = 3-(4x +12) is (5x+6)2=−4x−9.

Option B is correct.

The very first thing to do is to solve the expression in the given question.

SO,

(5x + 6)2 = 3-(4x +12)

Open brackets

Collect like terms

x = -21/14

Now, we will solve each of the given options to determine which one corresponds to the solution to the expression above.

Starting with Option (a)

5x + 6 = 3 - (4x + 12)

Open brackets

Option (a) is incorrect

b.

(5x + 6 )2  = -4x - 9

Open brackets

Option (b) is correct

(c.)

52x + 3 = 3 - (4x + 12)

Open brackets

Option (c) is incorrect

(d)

(5x + 6)2 = -4x + 15

Open brackets

Option (d) is incorrect

(e)

5x + 6 = -8x - 18

Collect like terms

Option (e) is incorrect

Therefore, we can conclude that the correct equation equivalent to the given expression in the question can be seen in Option b.

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