Factorise:
10x² - 7ax + (a + 2) (a - 5)
Could anyone solve this for me.
Need genuine answer.
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​

Step-by-step explanation:

gegydebdjsixhebxuhdbdxhurhdf

We can determine coordinates if point t is between points u and v by checking if u < t < v or v < t < u.

To determine if point t is between points u and v, we need to compare their coordinates. If u < v, then point t is between points u and v if and only if u < t < v. On the other hand, if v < u, then point t is between points u and v if and only if v < t < u.

Whether or not point t is between points u and v depends on the relationship between the coordinates of u and v. If u < v, t must fall between them, and if v < u, t must also fall between them.

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The probability that a particular book is free from misprints is 0.2231. option D is correct.

The average number of misprints per page (λ) is given as 1.5.

The probability of having no misprints (k = 0) can be calculated using the Poisson probability mass function:

\(P(X = 0) = (e^{-\lambda}\times \lambda^k) / k!\)

Substituting the values:

P(X = 0) = \((e^{-1.5} \times 1.5^0) / 0!\)

Since 0! (zero factorial) is equal to 1, we have:

P(X = 0) = \(e^{-1.5}\)

Calculating this value, we find:

P(X = 0) = 0.2231

Therefore, the probability that a particular book is free from misprints is approximately 0.2231.

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Question 13: The average number of misprints per page of a book is 1.5.Assuming the distribution of number of misprints to be Poisson. The probability that a particular book is free from misprints,is B. 0.435 D. 0.2231 A. 0.329 C. 0.549​

Answer:

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Step-by-step explanation:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer:

86

Step-by-step explanation:

Answer: the answer is 86

Step-by-step explanation:

The area of land the charity planted was 17000 m². The charity met its target

An equation is an expression that is used to show how numbers and variables are related using mathematical operators

1 km = 1000 m

1 km² = 1000000 m²

An environmental charity set a target to plant trees on 9000 m² of land in September.

In September, it planted trees on 0.017 km² of land. Hence:

Area of land planted = 0.017 km² * 1000000 m² per km² = 17000 m²

17000 m² is greater than 9000m². The charity met its target

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Answer:

-12

Step-by-step explanation:

6v=?

6(-2)= -12

Answer:

-12?

Step-by-step explanation:

If v= -2 then just distribute it into the problem.

So, 6(-2) = -12

The surface area of the right triangular pyramid is 435.5 square units.

What is a surface area of a triangle?

A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed. It implies that the internal angles of a triangle add up to 180 degrees. It is the polygon with the fewest sides.

Here, we have

Given: X = 13 units, Y = 11 units, and Z = 15 units

We have to determine the surface area of the right triangular pyramid.

Surface area = base area + 1/2 (perimeter × slant height)

A = xy + 1/2 (3x ×  z)

A = 13 × 11 + 1/2 (3× 13 ×  15)

A = 143 + 292.5

A = 435.5 square units.

Hence, the surface area of the right triangular pyramid is 435.5 square units.

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Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

Explanation:

There are 4 jacks (one of each suit) and 13 clubs. This gives 4+13 = 17 cards that are either jack or club. However, we double-counted the jack of clubs which means there are really 17-1 = 16 cards that are one or the other or both.

This is out of the 52 total mentioned. So we end up with the probability:

16/52 = (4*4)/(4*13) = 4/13

Selecting all students with last names beginning with the letter M would not produce a random sample of a school population of 1000 students. Hence the answer is no.

A random sample is obtained by selecting individuals from a population in a way that ensures every member of the population has an equal chance of being included in the sample.

By choosing only students with last names beginning with the letter M, you are introducing a bias and not providing an equal chance for all students to be selected.

To obtain a random sample of 1000 students from a school population, you would need to use a random selection method that ensures each student has an equal probability of being chosen.

This could be achieved through techniques such as random number generators, random sampling software, or random sampling techniques like stratified or cluster sampling.

Selecting all students with last names beginning with the letter M would not meet the requirements of a random sample, as it would not provide an equal chance for all students in the population to be included.

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Using the midpoint concept, it is found that:

The mid-point of a segment is the halfway point between the endpoints, dividing the segment into two segments of equal length.

In this problem, the segments are x + 9 and 4x, hence the value of x is found as follows:

4x = x + 9

x = 3.

The length of LN is the length of the entire segment, hence:

LN = x + 9 + 4x = 5x + 9 = 5(3) + 9 = 24 units.

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The completed operations with the values of the exponents are:
1041 = 10^8
1010−4105 = 10^16

To complete the operations and fill in the value of the exponent for the result, let's break it down step by step:

1041 = 10(103)(105)

Here, we are multiplying 10 by 103 and then multiplying the result by 105. To find the exponent, we add the exponents when multiplying.

So, the exponent for the result is 3 + 5 = 8.

Therefore, the expression simplifies to 108.

1010−4105 = 10(104)4

In this case, we have 10 raised to the power of 104, and then we raise the result to the power of 4. When raising a power to another power, we multiply the exponents. So, the exponent for the result is 4 * 104 = 416. Hence, the expression simplifies to 1016.

Therefore, the completed operations with the values of the exponents are:

1041 = 10^8
1010−4105 = 10^16

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Answer: C!!!!!!!

Step-by-step explanation:

Decomposers ( however you spell it ) are things that eat and uhh remove the waste and let other decompopers eat they waste

Answer:

ans 37

Step-by-step explanation:

substract 61 - 24

Answer:

Step-by-step explanation:

b IS THE ANSWER.

Answer:

B

Step-by-step explanation:

Answer:

y = -2/3x -5

Step-by-step explanation:

First, let's fill in our equation of y = mx + b

(6, -9) is the coordinate we will be subsituting

If the equation that s to the one we are solving we must turn its slope into it's negative reciprocal, which would go from 3/2 to -2/3

Now let's substitute and solve

y = mx + b

(-9) = -2/3(6) + b

-9 = -4 +b

+4   +4

-5 = b

Now we create the equation

y = -2/3x -5

Answer:

18540

Step-by-step explanation:

18 times 530 = 9540

9540 + 2,000 + 7,000= 18540

I did 18 times 530 because it said 530 for 18 months

The sequence of transformations that maps HIJK to ABCD is sequence B: reflection over line HÌ, then a translation 6 units to the right and 3 units down.

What is quadrilateral ?

A quadrilateral is a polygon with four sides and four vertices. The term "quadrilateral" comes from the Latin words "quadri" meaning "four" and "latus" meaning "side". Quadrilaterals can have different shapes and properties, including rectangles, squares, parallelograms, trapezoids, and kites.

Since quadrilaterals HIJK and ABCD are congruent, we can map one onto the other using a sequence of transformations. We need to determine which of the given sequences of transformations maps HIJK to ABCD.

Sequence A involves a 270° rotation about point J, followed by a translation 9 units to the right and 8 units down.

Sequence B involves a reflection over the line HÌ, followed by a translation 6 units to the right and 3 units down.

To determine which sequence maps HIJK to ABCD, we can apply each sequence to the vertices of HIJK and see if the resulting image matches the vertices of ABCD.

Starting with sequence A, we apply the rotation and translation to the vertices of HIJK:

Vertex H(-2, 1) is rotated 270° about J(-2, 2) to get H'(0, 0). Then we translate 9 units to the right and 8 units down to get H''(9, -8).

Vertex I(-3, -1) is rotated 270° about J(-2, 2) to get I'(1, -3). Then we translate 9 units to the right and 8 units down to get I''(10, -11).

Vertex J(-2, 2) is fixed by the rotation and then translated 9 units to the right and 8 units down to get J''(7, -6).

Vertex K(0, 0) is rotated 270° about J(-2, 2) to get K'(-2, -2). Then we translate 9 units to the right and 8 units down to get K''(7, -10).

The resulting image of HIJK under sequence A has vertices H''(9, -8), I''(10, -11), J''(7, -6), and K''(7, -10). We can see that these vertices do not match the vertices of ABCD, so sequence A does not map HIJK to ABCD.

Next, we apply sequence B to the vertices of HIJK:

Vertex H(-2, 1) is reflected over line HÌ to get H'(-4, 3). Then we translate 6 units to the right and 3 units down to get H''(2, 0).

Vertex I(-3, -1) is reflected over line HÌ to get I'(-1, 1). Then we translate 6 units to the right and 3 units down to get I''(5, -2).

Vertex J(-2, 2) is reflected over line HÌ to get J'(-4, 4). Then we translate 6 units to the right and 3 units down to get J''(2, 1).

Vertex K(0, 0) is reflected over line HÌ to get K'(-2, 2). Then we translate 6 units to the right and 3 units down to get K''(4, -1).

The resulting image of HIJK under sequence B has vertices H''(2, 0), I''(5, -2), J''(2, 1), and K''(4, -1). We can see that these vertices match the vertices of ABCD, so sequence B maps HIJK to ABCD.

Therefore, the sequence of transformations that maps HIJK to ABCD is sequence B: reflection over line HÌ, then a translation 6 units to the right and 3 units down.

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Analyzing the table, it is found that:

Word count tends to decrease as the score decreases.

------------------------------------

To solve this question, we need to look at the table, where the essays are ranked.

From this, it can be said that yes, there is a relation, as the word count tends to decrease as the score decreases.

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Answer:

A. Word count tends to decrease as the score decreases.

Step-by-step explanation:

edge2021

Answer:

$1

Step-by-step explanation:

because there is more odd numbers then even

Answer:

One dallar

Step-by-step explanation:

Answer:

is an example of subjective performance appraisal

please mark me brainliest I need them

Answer:

he is not

Step-by-step explanation:

a whole number has no decimal and it is not a fraction and NO NEGATIVES 3/2is a fraction/decimal so it is not a whole number

Answer: what sup it the girl from math class i found ya lol

Step-by-step explanation:

The elevation of the hole after placing the bush in the hole is 17/8 feet

Given: Davis digs a hole at a rate of 3/4 feet every 10 minutes

After digging for 40 minutes, Davis places a bush in the hole that fills exactly 7/8 feet of the hole

This involves subtraction and multiplication of fractions

Since the rate of digging = 3/4 feet every 10 minutes

Thus, after digging for 40 minutes, the depth will be:

3/4 × 4 = 3 feet

If Davis places a bush in the hole that fills exactly 7/8 feet of the hole, the remaining depth or elevation will be:

3 feet - 7/8 feet = 17/8 feet

Therefore,  after placing the bush in the hole, the elevation of the hole is 17/8 feet

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The expected value of the treatment mean square for a completely randomized design experiment is given by E(MS Trt) = σ2 + m∑Ti2 / (L-1).

Let L be the number of treatments, and R be the number of replications per treatment.

According to the model, yij is the response from the jth replication of the ith treatment.

Therefore, the total number of observations is given by N = LR. Therefore, we assume the following linear model to estimate the treatment effects: yij=μ+Ti+Eij Where yij is the observed value for the jth replication in the ith treatment. μ represents the population mean.

Ti represents the effect of the ith treatment and is assumed to be a fixed effect. Eij is the error term for the jth replication of the ith treatment, and is assumed to follow a normal distribution with a mean of 0 and a variance of σ2.

We now turn to the analysis of variance for the CRD with L treatments and R replications per treatment.

The total sum of squares is given by: SST = ∑∑yij2 - (T..)2/N Where T.. is the total sum of observations.

It has (L-1)(R-1) degrees of freedom.

The total mean square is given by: MST = SST / (L-1)(R-1)

The treatment sum of squares is given by: SSTR = ∑n(T.)2/R - (T..)2/N Where T. is the sum of the observations in the ith treatment, and n is the number of observations in the ith treatment.

It has L-1 degrees of freedom. The treatment mean square is given by: MSTR = SSTR / (L-1)

The error sum of squares is given by: SSE = SST - SSTR It has (L-1)(R-1) degrees of freedom.

The error mean square is given by: MSE = SSE / (L-1)(R-1)

Therefore, E(MS Trt)=σ2+ m∑Ti2/t-1  since E(Ti)=0 for all i.

To show that E(MS Trt) = σ2 + m∑Ti2 / t-1

We start by using the definition of expected value E() to derive the expected value of the treatment mean square

(MS Trt): E(MS Trt) = E(SSTR / (L-1))

Next, we can express SSTR in terms of the Ti's as follows:

SSTR = ∑n(T.)2/R - (T..)2/N= 1/R ∑Ti2n - (T..)2/N

We can then substitute this expression into the expression for MS Trt:

MS Trt = SSTR / (L-1)

Substituting SSTR = 1/R ∑Ti2n - (T..)2/N, we get:

MS Trt = [1/R ∑Ti2n - (T..)2/N] / (L-1)

Simplifying the expression, we get:

MS Trt = [1/R ∑Ti2n] / (L-1) - [(T..)2/N] / (L-1)E(MS Trt)

= E([1/R ∑Ti2n] / (L-1)) - E([(T..)2/N] / (L-1))

Next, we can apply the linearity of expectation to the two terms:

E(MS Trt) = 1/(L-1) E[1/R ∑Ti2n] - 1/(L-1) E[(T..)2/N]

Simplifying the expression, we get:

E(MS Trt) = 1/(L-1) E(Ti2) - 1/(L-1) [(T..)2/N]

We note that E(Ti) = 0 for all i, since the treatments are assumed to have no effect on the population mean.

Therefore, we can simplify the expression further:

E(MS Trt) = E(Ti2) / (L-1) - [(T..)2/N] / (L-1)

Substituting the expression for Ti2 from the model, we get:

E(MS Trt) = σ2 + m∑Ti2 / (L-1)(R-1) - [(T..)2/N] / (L-1)

Simplifying the expression, we get:

E(MS Trt) = σ2 + m∑Ti2 / (L-1)

Since we have derived the expected value of MS Trt in terms of the Ti's, we can now use this result to derive E(MS Err). By definition, we have E(MS Err) = σ2.

Therefore, the expected value of the treatment mean square for a completely randomized design experiment is given by E(MS Trt) = σ2 + m∑Ti2 / (L-1). When Ti = 0 for all i, the treatments have no effect on the population mean, and hence all the observations will be independent and identically distributed with a common variance. Therefore, the experiment reduces to a randomized complete block design with one block, and the standard analysis of variance can be used to estimate the treatment effects.

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Answer:

0.0

Step-by-step explanation:

70degress i think hsodisnshdhddhdtdhdhuehejshdydjdjbddbdjksisj8s

Answer:

\((a + 1) ^{2} + 1\)

\(a ^{2} + 2a + 2\)