Question number 3 please help

Answer:

Correct answer is a. 2x + 3 y = 9.

Step-by-step explanation:

Let the coordinates of centroid be (h,k)

{h/3 , (-2+k)/3}

h = (2 – 2 + a)/3 = a/3 ---eqn 1

k= ( - 3+ 1 + b )/3 = (-2 + b)/3 -----eqn 2

Where (x,y) are any point on the line 2x+3y=1

3h = a and 3k + 2 = b

From 2x +3y = 1,

Then, 2h +3k = 1, 3k = 1 - 2h -----eqn 3

b = 1 - 2h + 2 = 3 - 2h

also b = 3 - 2a/3

b = (9 -2a)/3

3b = 9 - 2a

3b + 2a = 9

Now (x,y) satisfy the point on the line 2x+3y=9

So the locus is 2x + 3 y = 9.

An expression for the number of bacteria after t hours is \(N(t) = e^{(10 + 2t)}\).

To find an expression for the number of bacteria after t hours, given that a bacteria culture starts with e¹⁰ bacteria and grows at a rate proportional to its size, we can use the exponential growth formula:
\(N(t) = N(0) * e^{(kt)}\)
where N(t) is the number of bacteria after t hours, N(0) is the initial number of bacteria, k is the growth constant, and t is the time in hours.

First, we are given that after 3 hours there are e¹⁶ bacteria.

Let's use this information to find the growth constant k:
\(e^{16} = e^{10} * e^{(3k)} \\e^{6} = e^{(3k)}\)

Now, we can find k by dividing both sides by 3:
6 = 3k
k = 2

Now that we have the growth constant k, we can plug it into the exponential growth formula:
\(N(t) = e^{10} * e^{(2t)}\)
which is equivalent to:
\(N(t) = e^{(10 + 2t)}\)

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If the mean weight of 4 backfield members on the football team is 211lb and the mean weight of the 7 other players is 203lb, the mean weight of the 11-person team is 206lb.

The mean refers to the average of the data value.

The mean can be computed as the quotient of the total value divided by the number of items in the data set.

The mean weight of 4 backfield members on the football team = 211lb

The total weight of the 4 backfield members = 844lb (211 x 4)

mean weight of the 7 other players on the football team = 203lb

The total weight of the 7 other players = 1,421lb (203 x 7)

The total weight of the 11 football team members = 2,265lb (844 + 1,421)

The average or mean weight of the 11 members = 205.9lb (2,265 ÷ 11)

= 206lb

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Answer: p = 120 degrees

Step-by-step explanation:

Figure a shows a pentagon. The sum of interior angles in a pentagon is equal to 540 degrees.

1. Subtract the known numerical angle

540 - 60 = 480

All of the remaining angles (represented by the variable p) are equal to one another. Therefore, we can use the expression 4p = 480 to find the value of p.

2. Evaluate the equation to find the value of p.

4p = 480

p = 120

Answer:

The aeroplane will fly 2000 km if travelling at the same average speed.

Step-by-step explanation:

To calculate the distance an aeroplane will fly in 2 h 30 min if it flies 1400 km in 1 h 45 mins, use the Speed Distance Time formula.

\(\boxed{\sf Speed=\dfrac{Distance}{Time}}\)

There are 60 minutes in one hour.  Therefore:

To calculate the speed of the aeroplane, divide the distance by the time it takes to travel that distance.  Therefore, if an aeroplane flies 1400 km in 1.75 hours then its average speed is:

\(\sf Speed=\dfrac{1400\;km}{1.75\;h}=800\;km/h\)

To determine the distance the aeroplane will travel in 2.5 hours, multiply the found speed of 800 km/h by the time:

\(\sf Distance=800\;km/h \times 2.5\;h=2000\;km\)

Therefore, the aeroplane will fly 2000 km in 2 h 30 min if travelling at the same average speed.

There are 8,416,416 different license plates that can be generated using this format.

To determine the number of license plates that can be generated using this format, we need to calculate the total number of possible combinations.

Since each license plate has four letters and two digits, we can consider them separately.

For the letters, we have 22 options (26 letters minus the excluded letters i, o, q, and u). Since repetition is allowed, there are 22 choices for each of the four positions. Therefore, the total number of letter combinations is 22^4 = 234,256.

For the digits, we have 6 options (10 digits minus the excluded digits 0, 1, 2, and 3). Again, repetition is allowed, so there are 6 choices for each of the two positions. The total number of digit combinations is 6^2 = 36.

To find the total number of license plates, we multiply the number of letter combinations by the number of digit combinations: 234,256 * 36 = 8,416,416.

Therefore, there are 8,416,416 different license plates that can be generated using this format.

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Answer:

area = 9x12/2 =54

answer is 54cm²

Answer:

3

Step-by-step explanation:

\( \frac{ \sqrt{36} }{ \sqrt{4 } } = \frac{6}{2 } = 3\)

\(\frac{325}{520}\) fraction of the workforce kept their jobs

What is the Percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

What is Percentage change?

The percentage increase is calculated by subtracting the original number from the new number, dividing that result by the original number, and multiplying that result by 100.

where growth in number equals new number minus initial number.

Similar to how a percentage increase is calculated, a percentage reduction is calculated by subtracting a new number from the original number, dividing that new number by the original number, and multiplying that result by 100.

decreasing number where original number - new number

In other words, there is a percentage decline if the response is negative.

Here, It is given:

In January 520 workers were employed;

In the end, 195 employees were redundant;

So, The fraction of the workforce who kept their job:-

The fraction of the workforce who kept their job=\(\frac{520-195}{520}\)

The fraction of the workforce who kept their job=\(\frac{325}{520}\)

Hence,

The fraction of the workforce who kept their job=\(\frac{325}{520}\)

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The orthographic projection based on the information given is illustrated below.

It should be noted that orthographic projection is a common method that's used for representing three-dimensional objects where each of the object is viewed along parallel lines that are perpendicular to the plane of the drawing.

In this case, it is a form of parallel projection, where all the projection lines are orthogonal to the projection plane which then results in every plane of the scene appearing in affine transformation on the viewing surface.

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Answer:

yes

Step-by-step explanation:

beacuse he is

Answer:

6/7 = 36/42

12/8 = 30/20

Step-by-step explanation:

(6*?) / (7*6) = ?/42

(6*6) / (7*6) = 36/42

(12*2.5) / (8*?) = 30/?

(12*2.5) / (8*2.5) = 30/20

Hope this helps!

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Answer:

$1.20 in pennies, $3 in nickels

Step-by-step explanation:

(i fell like im wrong :{ )

Answer:

The solution set is {-2/9, 4).

Step-by-step explanation:

(x + 3)/(x-2)  - (1-x)/x = 17/4

Multiply through by the LCD ( = 4x(x - 2):

(x + 3)4x - 4(1 - x)(x - 2) = 17x(x - 2)

4x^2 + 12x - 4(x - 2 - x^2 + 2x) - 17x^2 + 34x = 0

4x^2 + 12x - 4x + 8 + 4x^2 - 8x - 17x^2 + 34x = 0

-9x^2 + 34x + 8 = 0

We need 2 numbers  whose product = -72 ( -9 * 8) and whose sum is 34.

These are +36 and -2, so we write:

-9x^2 + 36x - 2x + 8 = 0

-9x(x - 4) - 2(x - 4) = 0

(-9x + 2)(x - 4) = 0

x = -2/9, 4.

The reason it is equilateral is because: Triangle BDC is equilateral because arcs BD and BE are two arcs with the same radius and center O.

We have that she drew two arcs that are centered at B. The point of intersection is at DE. This tells us that the chords that connects BD and DE are equal.

DC = EC = BC

This is because the center of the circle is at C

BDE are also points on the circle with length equal to radius

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The fraction of variation in the values of a response variable y that can be explained by the least-squares regression line is represented by the coefficient of determination, usually denoted as R^2.

R^2 is a statistical measure that indicates the proportion of the total variation in the response variable y that is accounted for by the linear relationship with the independent variable(s) used in the regression analysis. It is a value between 0 and 1, where:

- R^2 = 0 implies that the regression line explains none of the variation in y.

- R^2 = 1 implies that the regression line explains all of the variation in y.

In other words, R^2 represents the goodness-of-fit of the regression model. It indicates the strength of the linear relationship and how well the model fits the observed data.

To calculate R^2, it is necessary to perform a regression analysis and obtain the sum of squares for the regression (SSR) and the total sum of squares (SST). The formula for calculating R^2 is:

R^2 = SSR / SST

Where:

- SSR is the sum of squares for the regression (explained variation).

- SST is the total sum of squares (total variation).

R^2 provides valuable insight into the explanatory power of the regression model. It helps determine the proportion of the response variable's variation that can be attributed to the independent variable(s) considered in the analysis.

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From 0 and 1, we can see that there are a total of 8 lines. Therefore, each line is a 1/8 or 0.125 increase to the right (0.125 decrease to the left.)

So, the point marked on the number line is - 1 + 0.125 = -0.875

The option D is correct answer which is has minimal assumptions.

What is chi-square test?

When the sample sizes are big, the statistical hypothesis test known as the chi-squared test is employed in the study of contingency tables. It is also known as chi-square or χ2 test.

The formula for chi-square test is,

χc2=∑ (Oi−Ei)²/ Ei

Where:

c = Degree of freedom

O = Observed value

E = Expected value.

What are the other inferential statistical procedures?

The three most popular inferential statistics techniques are regression analysis, confidence intervals, and hypothesis testing. Interestingly, these inferential techniques can generate summary values that are comparable to those produced by descriptive statistics like the mean and standard deviation.

Hence, the one advantage of the chi-square test over most other inferential statistical procedures is that it has minimal assumptions.

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Complete question is,

One advantage of the chi-square test over most other inferential statistical procedures is that it.

Angle of depression from the bird (b) to the observer (o) = 12.52°

The right angle triangle formed has a height of 200 ft and a base of 900 ft.

The opposite side of the triangle is 200 ft while the adjacent side of the triangle is 900 ft.

Using tangential ratio we can find the angle of depression. Therefore,

Let

x = angle of depression

tan x = opposite/adjacent

opposite = 200 ft

adjacent = 900 ft

tan x = 200/900

tan x = 2/9

x = tan⁻¹ 2/9

x = tan⁻¹ 0.222

x = 12.5166739144

x = 12.52°

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Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

(A) A function is a rule that assigns unique output(s) to each input(s). (B) The graph of a function is a set of ordered pairs consisting of one input and the corresponding output. (C) You can determine if a graph represents a function by using the vertical line test.

The 100th number of the sequence 1, 4, 7, 10..., is 298.

The given series 1, 4, 7, 10..., is an AP.

Arithmetic Progression (AP) is a sequence of numerals in order, in which the difference between any two consecutive digits is a constant value. A progression is a type of sequence for which it is possible to get a formula for the nth term.  

The Arithmetic Progression is the most generally used sequence in maths with easy-to-understand formulas. The nth-term formula of the AP (arithmetic progression) is

aₙ = a₁+ d(n-1)

Where

n = number of terms

a = first term

d = common difference

Here, n = 100, d = 3 and a₁ = 1

\(a_{100}\) = 1 + 3(100-1)

\(a_{100}\) = 1 + 3(99)

\(a_{100}\) = 1 + 297

\(a_{100}\) = 298

--The given question is incorrect, the correct question is

''If we count by 3's starting with 1, the following sequence is obtained: 1, 4, 7, 10..., what is the 100th number in this sequence?"--

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Answer:

false

Step-by-step explanation:

Answer:false

Step-by-step explanation:

The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

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Answer:

bivariate data

Answer:

it's Bivariate data

Step-by-step explanation:

Its right cause I'm right, pls gimme 5 star and brainliest cause it's brainy ty

Answer:

35/6

Step-by-step explanation:

Turn to 2 1/3 improper fraction

6+1=7/3

Dividing is multiplying by the reciprocal

7/3*5/2

7*5/3*2

35/6

The statement "in every instance of the stable matching problem, there is a stable matching containing a pair (m, w) such that m is ranked first on the preference list of w and w is ranked first on the preference list of m" is true.

Stable pairing is a way which guarantees that all elements from two sets (men and women, children and toys, people and vacation destinations, whatever) are paired with an element from the other set AND that pair is the "best available match".

According to the statement, men are free to create a list of women's according to their preferences. There will be order sequence of women and men places them in queue of their preference. The men proposes the women with highest ranking in the list then it is possible that all men gets their preferred choice.

The pairing is a best available match and therefore can be called as a stable matching problem. Hence the statement is true.

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Answer:

4x-18

Step-by-step explanation:

-6(-x +  3)–2x

first u expand =6x-18-2x

then u add up the like terms

Answer:

6x+-18-2x

6x+2x+18

8x+18

Step-by-step explanation: