a
What is the slope of a line perpendicular to
x + 2y = 4? [2 marks] - Show ALL work
A 2
B 1/2
C -2
D-1/2

The trader bought a total of 2380 pieces of trousers.

To find the total number of trousers the trader bought, we need to calculate the number of trousers in each type of bale separately and then sum them up.

Let's start with the jeans trousers:

The trader bought 20 bales of jeans trousers, and each bale contains 68 pieces of trousers. To find the total number of jeans trousers, we multiply the number of bales by the number of trousers per bale: 20 bales × 68 trousers/bale = 1360 jeans trousers.

Now let's move on to the khaki trousers:

The trader bought 15 bales of khaki trousers, and each bale contains 68 pieces of trousers. To find the total number of khaki trousers, we multiply the number of bales by the number of trousers per bale: 15 bales × 68 trousers/bale = 1020 khaki trousers.

To find the total number of trousers, we add the number of jeans trousers and khaki trousers together: 1360 jeans trousers + 1020 khaki trousers = 2380 trousers.

Therefore, the trader bought a total of 2380 pieces of trousers.

In summary, the trader purchased 20 bales of jeans trousers, each bale containing 68 pieces, resulting in a total of 1360 jeans trousers. Additionally, the trader bought 15 bales of khaki trousers, each bale containing 68 pieces, which amounts to 1020 khaki trousers. Combining the two types, the trader purchased a total of 2380 pieces of trousers.

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The conditions for hypothesis test for slope of least squares regression line are observations are independent, data is from random sample, the true relationship between variables is linear. So, correct options are c, e, f, g, h.

c) The observations are independent: This condition is necessary to ensure that the observations are not influenced by each other and that the regression estimates are not biased.

e) Data are from a random sample or experiment: Random sampling helps to ensure that the sample is representative of the population and allows for generalization of the results. In an experiment, random assignment helps establish causal relationships.

f) The responses, y, for any value of x vary according to a normal distribution: This assumption is needed to perform hypothesis tests and construct confidence intervals for the slope. It is usually assumed that the errors or residuals in the regression model are normally distributed.

g) The true relationship between the variables is linear: This assumption assumes that the relationship between the independent variable (x) and the dependent variable (y) can be adequately represented by a straight line.

h) The parameter of interest is the true slope, β: The hypothesis test focuses on testing whether the estimated slope coefficient significantly differs from zero, which represents the null hypothesis.

The remaining options (a, b, d) are not necessary conditions for the hypothesis test for the slope of the least squares regression line. They may be assumptions or conditions related to the regression model but are not directly tied to the hypothesis test for the slope.

So, correct options are c, e, f, g, h.

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Ways can n identical balls be distributed into r bins such that each bin contains at least two balls are 20 ways.

1 ball in each of 3 boxes: 4 ways

3 balls in one box: 4 ways

2 balls in one box and 1 ball in another box: 3*4=12 ways

There are 20 ways to arrange the balls .

In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.

The combination can also be represented as: –nCr, nCr, C(n,r), Crn

Proof:

nPr = nCr.r!

= [n!/r!(n-r)!].r!

= n!/(n-r)!

Hence the theorem states true.

A permutation is an act of arranging objects or numbers in order. Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.

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Answer:

option b

is the answer

please check it

Answer:

450+120w

will be the expression

Equation: 450+120w = x

Answer:

16

Step-by-step explanation:

0.20 x 80 = 16

We can double check this by dividing :)

16/80 = 0.20 = 20%

Have an amazing day!!

Please rate and mark brainliest!!

Use this table,

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Answer:

Cost of an adult =700

Cost of a child =500

Family paid=3100

They got 5 tickets

So,

700x+500y=3100

x+y=5

Multiplying 2nd equation to x=5-y

700(5-y)+500y=3100

y=2

x=5-2

=3

so u got the answer

Answer:

.....................

Answer:

Slope is -3

Step-by-step explanation:

mrk me brainliest plz

Step-by-step explanation:

f/9+27f=21

f(1/9+27)=21

f(244/9)=21

f=189/244

Answer:

The equation is;

y = 2x^2 -8x + 12

Step-by-step explanation:

The vertex form can be written as;

a(x-h)^2 + k

(h,k) represents the coordinates of the vertex

In this case, we have this as (2,4)

The value of a is positive as the parabola opens up and it is the axis of symmetry

It is the x value that divides the graph into 2

Thus, we have x as = 2

so the equation of the graph will be;

2(x-2)^2 + 4

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

= 2x^2 -8x + 8 + 4

= 2x^2 -8x + 12

Answer:

1

Step-by-step explanation:

Answer:

109.090909%

Step-by-step explanation:

Answer:

9.09091%

Step-by-step explanation:

From 11 friends to 12 friends find the percent

from 11 friends to 12 friends. The number of friends is increased by 1.

To get the percentage of increase:

(12 - 11) / 11 = 1 / 11 = * 100% =

The increase of 1 friend is equivalent to 9.09091% increase

11 is the basis. It is the 100%

 1 is the increase. It is the 9.09091%

12 is the total number of friends.

diagonal-

= root 3a

= root 3·5

≈ 8.66025

Let the length of diagonal be d

Given, Side = 5m

Using Pythagoras theorum,

\( \sqrt{ 3} (side) = d \\ \sqrt{3}(5) = d \\ d = 5\sqrt{3} m = 8.66 \: m\)

Hope this helps :)

\(\rm{\green{Answer \: is:-}}\)

\(3xy \sqrt[24]{ {4x}^{2} } \)(3xy^2 4 sqrt 4x^2)

Step-by-step explanation:

Let's see

\(\\ \rm\Rrightarrow \sqrt[4]{324x^6y^8}\)

\(\\ \rm\Rrightarrow \sqrt{4}{18^2x^6y^8}\)

\(\\ \rm\Rrightarrow 18^{2/4}x^{6/4}y^{8/4}\)

\(\\ \rm\Rrightarrow \sqrt{18}x^{3/2}y^2\)

\(\\ \rm\Rrightarrow \sqrt{18}\sqrt[2]{x^3}y^2\)

98% of the distribution's area lies between -2.33 and 2.33 z-scores.

Since the area under the standard normal distribution curve between -z and z is equal to the probability that a randomly chosen observation falls between -z and z, we can find the z-scores for which 98% of the distribution's area lies between -z and z by finding the value of z such that the area to the left of -z is (1 - 0.98)/2 = 0.01 and the area to the left of z is 1 - 0.01 = 0.99.

Using a standard normal distribution table or a calculator with a standard normal distribution function, we can find that the z-score corresponding to the area of 0.01 to the left is approximately -2.33 and the z-score corresponding to the area of 0.99 to the left is approximately 2.33.

Your complete question is here:

Find the -scores for which 98% of the distribution's area lies between -z and z

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Answer:

B. 52 per raffle ticket

Step-by-step explanation:

you divide 624 by 12 giving the answer of 52

Answer:

2/ 3

Step-by-step explanation:

m = rise / run

Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.

Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:

160B + 256C ≤ 6400c

Inequality stating that the engineer has at least 12 million pesos to spend for materials:

600B + 800C ≤ 12000d

. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C

Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.

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Answer:

the first, second, and fifth

Step-by-step explanation:

hope this helps :-)

The square root of 15 is approximately 4.

To approximate the square root of 15, we can find the perfect squares that are closest to 15. The perfect squares that are closest to 15 are 9 and 16. Since 15 is closer to 16, we can say that the square root of 15 is slightly less than 4.

Another approach could be:

The square root of 15 is approximately 3.87. Rounding to the nearest integer gives us 4. To round a number, we look at the number following the place value we are rounding to. If it is greater than or equal to 5, we round up. If it is less than 5, we round down. In this case, the digit following the ones place is 8, which is greater than 5, so we round up to 4.

Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).

Step 1: Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope

formula:

Step-by-step explanation:

use this on your problem

The "hypothesis of no change," "status quo," and "conventional wisdom" are all alternative names for the null hypothesis. Unless there is overwhelming evidence to the contrary, the null hypothesis is assumed to be correct.

H0: u = 1: u ≠ 1,400

When testing hypotheses with the P value, the null hypothesis is rejected if?

The evidence against the null hypothesis is stronger when the p-value is smaller (closer to 0).If the p-esteem is not exactly or equivalent to the predetermined importance level α, the invalid speculation is dismissed;The null hypothesis is not rejected otherwise.

A statement of expectation or prediction that will be tested by research is called a research hypothesis. Read up on the subject that interests you before coming up with your research hypothesis.

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By the definition of the polynomials, the expression  \(3.9x^3 - 4.1x^2 + 7.3\) is the only polynomials.

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

a. \(\pi x -\sqrt{3} +5y\)

This expression consists of 2 variables so this is not a polynomial.

b. \(x^{2} y^{2} -4xy^{3} +12y\)

This expression consists of 2 variables so this is not a polynomial.

c. \(\frac{4}{x} -4x^{2}\)

Here variable x is in the denominator in term 4/x so this is not a polynomial.

d. \(3.9x^3 - 4.1x^2 + 7.3\)

This expression satisfies all conditions of being a polynomial hence this is a polynomial.

e. \(\sqrt{x} -16\)

Here the power of variable x is not an integer so it's not a polynomial.

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Answer:

A B E

Step-by-step explanation:

cuz i know

Answer:

1/8

Step-by-step explanation:

m=male

7m=female

m/7m+m = m/8m

=1/8

Answer:

7m^4-52m^3-28m^2+67m+42

Step-by-step explanation:

(7m^2-3m-7)(m^2-7m-6)

7m^4-3m^3-7m^2-49m^3+21m^2+49m-42m^2+18m+42

7m^4-3m^3-49m^3-7m^2+21m^2-42m^2+49m+18m+42

7m^4-52m^3-28m^2+67m+42

Answer: C

Step-by-step explanation:

got it correct on edge 2020:)