can anyone answer this if u can pls tell me thankyou❤️

The product of the Expression is 3/ (a-2).

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have,

(2a - 7)/ a x (3a²)/  (2a² -11a + 14)

Now, simplifying the expression as

(2a - 7)/ a x (3a²)/  (2a² -11a + 14)

= (2a - 7)/ a x (3a²)/  (2a² -7a - 4a + 14)

= (2a - 7)/ a x (3a²)/  a (2a -7) -2 (2a- 7)

= (2a - 7)/ a x (3a²)/ (a- 2)(2a-7)

= 3a² / a(a-2)

= 3/ (a-2)

Thus, the product is 3/ (a-2).

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Answer:

i believe its 26

Step-by-step explanation:

180-154=26

Answer:

26°

Step-by-step explanation:

LMK is 154° on a 180° line

180-154 = 26°

Please give brainliest if I helped!

The solution to the system of simultaneous equations is x = 34/7, y = -13/7, z = -9/7.

To solve the system of simultaneous equations:

i. x + 2y + 3z = -5

ii. 3x + y - 3z = 4

iii. -3x + 4y + 7z = -7

We can use the matrix method or the augmented matrix to solve the equations. Let's use the augmented matrix method:

1 2 3 | -5

3 1 -3 | 4

-3 4 7 | -7

We'll perform row operations to transform the matrix into row-echelon form:

R2 = R2 - 3R1

R3 = R3 + 3R1

1 2 3 | -5

0 -5 -12 | 19

0 10 16 | 4

R2 = -R2/5

R3 = R3 + 2R2

1 2 3 | -5

0 1 12/5 | -19/5

0 0 56/5 | -36/5

R3 = (5/56)R3

1 2 3 | -5

0 1 12/5 | -19/5

0 0 1 | -9/7

R2 = R2 - (12/5)R3

R1 = R1 - 3R3

1 2 0 | 8/7

0 1 0 | -13/7

0 0 1 | -9/7

R1 = R1 - 2R2

1 0 0 | 34/7

0 1 0 | -13/7

0 0 1 | -9/7

The row-echelon form of the augmented matrix is obtained. Now, we can read off the solution to the system of equations:

x = 34/7

y = -13/7

z = -9/7

Therefore, the solution to the system of simultaneous equations is x = 34/7, y = -13/7, z = -9/7.

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In this probability experiment, the sample space is S = {2,3,4,5,6,7,8,9,10,11,12,13). The event E is defined as E = {3,4,5,6). Assuming that each outcome is equally likely, we can list all the outcomes of the experiment as follows:

1. If we roll a 2, it is not included in event E, so the outcome is not included.
2. If we roll a 3, it is included in event E, so the outcome is included.
3. If we roll a 4, it is included in event E, so the outcome is included.
4. If we roll a 5, it is included in event E, so the outcome is included.
5. If we roll a 6, it is included in event E, so the outcome is included.
6. If we roll a 7, it is not included in event E, so the outcome is not included.
7. If we roll an 8, it is not included in event E, so the outcome is not included.
8. If we roll a 9, it is not included in event E, so the outcome is not included.
9. If we roll a 10, it is not included in event E, so the outcome is not included.
10. If we roll an 11, it is not included in event E, so the outcome is not included.
11. If we roll a 12, it is not included in event E, so the outcome is not included.
12. If we roll a 13, it is not included in event E, so the outcome is not included.

Therefore, the outcomes of the experiment that are included in event E are 3, 4, 5, and 6.

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1.The mistake in your answer is that you did not consider the proportions of men and women in the study population when comparing them to the study sample.

2.To avoid making the same mistake in the future, it is important to compare the proportions or percentages of different groups rather than just the raw numbers.

Let's consider the correct approach to determine if the results of the study are likely to be reasonable.

To assess the reasonability of the study results, we need to compare the proportions or percentages of men and women in the study population to the proportions or percentages in the study sample.

In the study population, there are 100 men and 150 women, which gives us a total population size of 250.

The proportion of men in the study population is 100/250 = 0.4 or 40%.

The proportion of women in the study population is 150/250 = 0.6 or 60%.

Now let's compare these proportions to the study sample, which includes 25 men and 75 women, making a total sample size of 100.

The proportion of men in the study sample is 25/100 = 0.25 or 25%.

The proportion of women in the study sample is 75/100 = 0.75 or 75%.

By comparing the proportions, we can see that the proportion of men in the study sample (25%) is smaller than the proportion of men in the study population (40%), while the proportion of women in the study sample (75%) is larger than the proportion of women in the study population (60%).

This discrepancy suggests that the study sample may not be representative of the study population, as the proportions of men and women in the sample do not accurately reflect the proportions in the population. Therefore, the results of the study may not be reliable or generalizable to the entire population.

To avoid making this mistake in the future, always remember to compare proportions or percentages rather than just the raw numbers when assessing the representativeness of a sample.

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Answer:

Element  Frequency Cumulative Frequency

15                   3              3

16                   6              9

17                   1              10

18                   6             16

20                   6            22

24                   5            27

25                   6            33

27                   2            35

28                   4            39

30                   1             40

Step-by-step explanation:

Find out how many times an element(data value) appears. That will be the frequency(column 2). The cumulative frequency is the total of all frequencies prior to that element plus the current element frequency

Cumulative frequency for first element is same as its frequency

Cumulative frequency for element 16 is 3 + 6 = 9

Cumulative frequency for element 17 = 3 + 6 + 1 = 9 + 1=10. Basically it is the sum of the previous element cumulative frequency + the current frequency

Answer:

  6√3 square units

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are 1 : √3 : 2. Using this fact, we can find the lengths of the orthogonal sides of the triangle to be ...

  3(2/√3) = 2√3 . . . . side AB in the attached figure

and

  2·3 = 6 . . . . . . . . . . side AC in the attached figure

Then the area of the triangle is ...

  A = 1/2bh

  A = 1/2(6)(2√3) = 6√3 . . . . square units

The percentage decrease in the price of the microwave is 51.82%.

Percentage is used to determine the relative value of a digit as a number out of a hundred. The sign that is used to represent percentages is %. In order to express a value as a percentage, multiply the number by 100. Percentage is a measure of frequency.

Percentage decrease = (change in price / initial price) x 100

Change in price = initial price - new price

$137 - $66 = $71

(71/137) x 100 = 51.82%

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P is a boundary point of S because it satisfies the condition that every open neighborhood of p contains points both in S and not in S.

Draw a coordinate plane.

Draw the line x + y = 1, which represents the boundary of S.

Shade the region below the line x + y = 1.

Mark the point p = (0.5, 0.5) within the shaded region.

The diagram should clearly show that p lies on the boundary of S, as it is located on the line x + y = 1.

4b) To prove from definition that p is a boundary point of S, we need to show that every open neighborhood of p contains points both in S and not in S. This can be done by considering two cases:

Case 1: Consider an open neighborhood of p that lies entirely within the shaded region below x + y = 1. In this case, there exist points within the neighborhood that satisfy x + y < 1, and therefore, they are in S.

Case 2: Consider an open neighborhood of p that lies partly outside the shaded region below x + y = 1. In this case, there exist points within the neighborhood that do not satisfy  x + y < 1, and therefore, they are not in S.

Since p satisfies both cases, it follows that p is a boundary point of S.

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The radius of the cylinder is given by r = 4 units

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the cylinder be represented as A

Now , let the radius of the cylinder be = r

Let the height of the cylinder be = h

Now , Surface area of cylinder = 2πr ( r + h )

On simplifying , we get

S = 2π ( 4 )² + 2π ( 4 ) ( 11 )

Substituting the values in the equation , we get

Surface area of cylinder = 2πr² + 2πrh

So , the value of r = 4 and h = 11

Therefore , the value of radius r = 4 units

Hence , the radius of cylinder is 4 units

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Answer:-49

Step-by-step explanation:(10,1)= (x,y) so we can see that x=10 and y=1. Now you put them in the equation 1=b+5*10. Then you get 1=b+50 and you put 50 to the left side and it becomes negative. 1-50=b . Therefore b=-49

Answer:

Step-by-step explanation:

y = 5x + b ⇒ b = y - 5x

(10, 1)

b = 1 - 5(10) = 1 - 50 = - 49

b = - 49

Answer:

1.5+1=6

2.-0+7=7

Step-by-step explanation:

yung -x Po ay magiging zero

The missing coordinate of r where the line has a slope of -5/4 is calculated as: r = 5.

Slope of a line, m, is found using the formula:

m = change in y / change in x = \(\frac{y_2 = y_1}{x_2 - x_1}\).

We know that the slope of the line passing through the points (-5, 15) and (3, r) is -5/4. We can use the slope formula to find the slope of the line:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-5, 15) and (x2, y2) = (3, r)

-5/4 = (r - 15) / (3 - (-5)) [Substitute the given values.]

-5/4 = (r - 15) / 8

Multiplying both sides by 8, we get:

-10 = r - 15

Adding 15 to both sides, we get:

r = 5

Therefore, the missing coordinate is r = 5.

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The domain and range is  [-4, 4] and [0, 4]

The domain of a function is the set of values that we are allowed to plug into our function.

The range of a function is the set of values that the function assumes.

x² + y² = 16

y = √16 - x²

For domain under root should not be negative quantity,

16 - x²≥0

16≥x²

So, x≤4 or x≥4

Thus, the domain is  [-4, 4]

Range:

y is maximum at x=0, y=4

y is minimum at x=4, y=0

Thus, range = [0, 4]

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The sum of the interior angles for a pentagon is 540°

Sum of Interior Angles of a Pentagon :

The interior angles of a pentagon sum up to 540 degrees.. Regardless of how regular or irregular the pentagon is, this is true. By dividing the whole amount by 5, we can calculate the size of each internal angle in the case of regular pentagons. To determine the measure of a missing angle in the situation of irregular pentagons, we must first know the measurements of other angles.

Any pentagon's internal angles add up to 540° in the same way. This holds true regardless of how regular or irregular the pentagon is. By using the polygon angle sum formula, the following sum is obtained:

(n-2)180(n−2)×180°

where n represents the polygon's number of sides. We have n = 5 in the case of a pentagon. Consequently, utilizing the formula:

=(n-2)180=(n−2) ×180°

= (5-2) 180= (5−2) ×180°

= (3) 180= (3) ×180°

= 540=540°

Consequently, a pentagon's interior angles add up to 540 degrees.

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Answer:

x = - 1, x = 1, x = 2

Step-by-step explanation:

The coefficients of the polynomial sum to zero, that is

- 1 + 2 + 1 - 2 = 0

This indicates that x = 1 is a zero

let x = - 1, then

- (- 1)³ + 2(- 1)² + (- 1) - 2 = 1 + 2 - 1 - 2 = 0

Thus x = - 1 is a zero

let x = 2

- (2)³ + 2(2)² + 2 - 2 = - 8 + 8 + 2 - 2 = 0

Thus x = 2 is a zero

The 3 zeros are x = - 1, x = 1, x = 2

Answer:

3.75$

Step-by-step explanation:

The part is the unknown.

Set up a proportion with the known values and solve for the part.

Using whole = $25, percent = 15%, part = ? dollars

part whole=percent 100→?25=15100

Multiply the numerator and denominator of a fraction by the

same number to determine an equivalent fraction.

StartFraction question mark Over 25 EndFraction = StartFraction 15 Over 100 EndFraction. Arrows going from question mark to 15 and from 25 to 100 are labeled times 4. ?×425×4==15100

Solve for the part.

?=15÷4=334=3.75

Answer:

(1, -11)

The correct answer is B

Answer:

The answer is greater than 10.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

$7.50

Step-by-step explanation:

round 53.43 down to 50

tip = total cost * rate of tip

I hope this helped

The X value corresponding to z = -2.25 is X = 56.

A z score is a statistical indicator that shows how far a raw score is from a distribution's mean. Give the z-score formula. The z-score is calculated using the formula z = (x -μ)/σ.

To find the corresponding X value for a given z-score, we use the formula:

X = µ + (z * σ)

Given µ = 65, σ = 4, and z = -2.25, we can calculate the X value:

X = 65 + (-2.25 * 4)

X = 65 - 9

X = 56

Therefore, the X value corresponding to z = -2.25 is X = 56.

The correct answer is b. X = 56.

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Note that the complete solution set of x²-3x = 4 is x = 4, -1.

To find   the two possible values of x²-3x,we need to solve the equation |x²-3x| = 4.

We found that the two possible   values are x = 4   and x = - 1.

Using the positive value, we can write the equation x²-3x = 4 and solve it using factoring -

x²-3x - 4 = 0

(x-4)(x+1) = 0

From this, we get two solutions - x = 4 and x = -1.

Using the negative value, we can write the equation x²-3x = -4 and solve it using the quadratic formula  -

x²-3x + 4 = 0

Using the quadratic formula  -  x = (-(-3) ± √((-3)² - 4(1)(4))) / (2(1))

Simplifying, we get - x = (3 ± √(9 - 16)) / 2

Since the discriminant is negative, there are no real solutions. Therefore, there are no real number solutions for x in this case.

Hence, the complete solution set of x²-3x = 4 is x = 4, -1.

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Answer:

VII

Step-by-step explanation:

The yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.

Yield to maturity (YTM) is the total return anticipated on a bond or other fixed-interest security if the security is held until it matures. Yield to maturity is considered a long-term bond yield, but is expressed as an annual rate. In this problem, the present value (PV) of the simple loan is $1,500, the future value (FV) is $7,500, the time to maturity is five years, and the interest rate is the yield to maturity (YTM).

Now we will calculate the yield to maturity (YTM) using the formula for the future value of a lump sum:

FV = PV(1 + YTM)n,

where,

FV is the future value,

PV is the present value,

YTM is the yield to maturity, and

n is the number of periods.

Plugging in the given values, we get:

$7,500 = $1,500(1 + YTM)5

Simplifying this equation, we get:

5 = (1 + YTM)5/1,500

Multiplying both sides by 1,500 and taking the fifth root, we get:

1 + YTM = (5/1,500)1/5

Adding -1 to both sides, we get:

YTM = (5/1,500)1/5 - 1

Calculating this value, we get:

YTM = 0.3714 or 37.14%

Therefore, the yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.

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The company's claim can be evaluated using a hypothesis test. The null hypothesis, denoted as H0, assumes that the true proportion of chips that do not fail in the first 1000 hours is 55% or lower.

Ha stands for the alternative hypothesis, which assumes that the real proportion is higher than 55%. This test has a significance level of 0.01.

A sample of 800 chips was taken based on the information provided, and it was discovered that 60% of them do not fail in the first 1000 hours. A one-sample percentage test can be used to verify the assertion.  The test statistic for this test is the z-score, which is calculated as:

\(\[ z = \frac{{p - p_0}}{{\sqrt{\frac{{p_0(1-p_0)}}{n}}}} \]\)

If n is the sample size, p0 is the null hypothesis' assumed proportion, and p is the sample proportion.

If we substitute the values, we get:

\(\[ z = \frac{{0.6 - 0.55}}{{\sqrt{\frac{{0.55(1-0.55)}}{800}}}} \]\)

The z-score for this assertion is calculated, and we find that it is approximately 2.86.

In order to determine whether there is sufficient data to support the company's claim, we compare the computed z-score with the essential value. At a significance level of 0.01 the critical value for a one-tailed test is approximately 2.33.

Because the estimated z-score (2.86) is larger than the determining value (2.33), we reject the null hypothesis. Therefore, the company's assertion that more than 55% of the chips do not fail in the first 1000 hours of use is supported by sufficient data at the 0.01 level.

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