solve the expression when a= 0.25 and b = -1
36a + 42b - 18a +6

Here is the two column proof:

    Statement                                        Reason                                              

1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

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Answer:

B.

I hope it will be useful.

Step-by-step explanation:

ΔACB is congruent to ΔXZY!!

Hint : Interchange the position or simply drag your perception of seeing the Δ.

Given:

A taxi service charges AED 10 plus AED 250 per kilometer for a trip to the airport.

The total charge is AED 135.

To find:

How far, in kilometers, is the trip to the airport?

Solution:

Let x km be the trip to the airport.

A taxi service charges AED 10 plus AED 250 per kilometer for a trip to the airport. So, total changes for x km trip is

\(T=10+250x\)

The total charge is AED 135.

\(10+250x=135\)

\(250x=135-10\)

\(250x=125\)

Divide both sides by 250.

\(x=\dfrac{125}{250}\)

\(x=\dfrac{1}{2}\)

\(x=0.5\)

Therefore, the trip to the airport is 0.5 km.

Answer:

Step-by-step explanation:

y - 5 = -2(x + 1)

y - 5 = -2x - 2

y = -2x + 3

Answer:

we conclude that mean DL reading for current smokers is significantly lower than 100 DL

μ ≤ 98.32

Step-by-step explanation:

Given :

H0 : μ = 100

H1 : μ < 100

Given the sample data:

103.768 88.602 73.003 123.086 91.052

92.295 61.675 90.677 84.023 76.014

100.615 88.017 71.210 82.115 89.222

102.754 108.579 73.154 106.755 90.479

Sample mean, xbar = 89.855

Sample standard deviation, s = 14.904

Test statistic :

(Xbar - μ) ÷ (s/√n)

(89.855 - 100) /(14.904/√20)

-10.145 / 3.3326357

Test statistic = - 3.044

Pvalue : using the Pvalue from T score calculator :

Pvalue = 0.00333

Pvalue < α ; Reject H0

Hence, we conclude that mean DL reading for current smokers is significantly lower than 100 DL.

b. Find a 99% upper one-sided confidence bound for the mean DL reading for current smokers. Does this bound confirm your conclusions in part a?

Tcritical at 99% (one sided) = 2.54

Upper confidence interval :

Xbar ± standard Error

Standard Error = Tcritical * s/√n

Standard Error = 2.54 * 14.904/√20 = 8.465

Upper boundary:

Xbar + standard error

89.855 + 8.465 = 98.32

μ ≤ 98.32

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

slope =( y2 - y1 ) ÷ (x2 - x1)

Step-by-step explanation:

p1 ( -1 , -2)

p2 (4 , 2 )

slope =

\( \frac{2 - ( - 2)}{4 - ( - 1)} = \frac{4}{5} \)

Answer:

Its 9

Step-by-step explanation:

(2)(6)−3

=9

PART A: Linda has $4.41 more than Enrique after one year.

PART B: Enrique has $12.10 more than Linda after the second year.

PART A: After one year, we can calculate the amount of money each person has in their respective accounts.

For Linda's account:

Principal amount = $610

Interest rate = 1.2%

\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)

\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)

For Enrique's account:

Principal amount = $590

Interest rate = 3.9%

\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)

Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91

Comparing the two amounts, after one year Linda has more money.

The difference in the amount is:

$617.32 - $612.91 = $4.41

Therefore, Linda has $4.41 more than Enrique after one year.

PART B: After a second year, we need to calculate the amounts again.

For Linda's account:

Principal amount = $617.32

Interest rate = 1.2%

\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)

Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73

For Enrique's account:

Principal amount = $612.91

Interest rate = 3.9%

\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)

Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83

Comparing the two amounts, after the second year Enrique has more money.

The difference in the amount is:

$636.83 - $624.73 = $12.10

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The number of points to be removed from the graph is 2

from the question, we have the following parameters that can be used in our computation:

The graph

From the graph, we can see that

2 points have the same y coordinates

Another 2 points have the same y coordinates

For it to be a function, one of the 2 points must be removed each

So, we have the number of points to be removed from the graph is 2

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Answer:

can we get a picture

Step-by-step explanation:

Answer:

12 + 4 = 16

4 + 4 = 8

16 and 8

Answer:

Step-by-step explanation:

A linear graph with y values (height of tree) going up 2.5 with each increase of x (growing season)

This is the model that best fits the graph describing a growth of a plant

Answer:

14 + 3x

Step-by-step explanation:

6x2= 12

12 + 3x + 2

=14 + 3x

Answer:

y =-6(x-1/4)^2+19/8

Step-by-step explanation:

I hope this helps I don't have an explanation I just got it right on EDG 2021

God Bless You!!!!!

To find the function that produce the table usong the general form line:

Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

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Answer:

B.

Step-by-step explanation:

2x4= 8

8x11=88

You can also do the process of elimination, but in the end, b is the answer.

The surface area of given triangular prism = 24 ft².

For the given triangular prism

Base = 2 ft

height = 3 ft

side = 3ft

We know that,

Surface area of triangular prism

= side x base + 3x base x height

=  3 x 2  + 3x2x3

= 6 + 18

= 24 ft²

Thus,

Surface area = 24 ft²

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Both of these procedures start by drawing two arcs to the sides of the point and they both have six angles.

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The following are the two similarities between drawing a perpendicular line through a point on a line and drawing one through a point of a line:

Both of these procedures start by drawing two arcs to the sides of the point and they both have six angles.

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Answer:

1940.3

Step-by-step explanation:

The current population value is 13,400

Let the previous population be represented by y

The population of the city decreased by 33

Therefore the previous population can be calculated as follows

13400= y(100-33)/100

13400=( y×67)/100

13400= 100× 13400/67

= 100× 19.402

= 1,940.3

Hence the previous population is 1,940.3

8. y=3(x-1)² +2 can be written in standard form as y = 3x² - 6x + 5.  9. y=-4(x+6)²-4 can be written in standard form as y = -4x² - 48x - 148. 10. x=2(y+3)²-5 can be written in standard form as 2(y+3)² = x + 5.

A parabola is a two-dimensional geometric shape that is symmetrical around a vertical or horizontal axis. It is a type of conic section, which is formed by the intersection of a plane and a right circular cone. When the plane intersects the cone at an angle that is parallel to one of the sides, a parabola is formed.

A parabola is defined by a quadratic equation of the form y = ax² + bx + c, where "a" is a non-zero constant that determines the shape of the curve, "b" is the linear coefficient, and "c" is the constant term. The vertex of the parabola is located at the point (-b/2a, c - b²/4a), and the axis of symmetry is a vertical or horizontal line that passes through the vertex.

The shape of a parabola depends on the value of "a." If "a" is positive, the parabola opens upwards, and if "a" is negative, the parabola opens downwards. The vertex of the parabola is the maximum or minimum point of the curve, depending on the direction of the opening. Parabolas are commonly used in physics and engineering to model the trajectory of projectiles, as well as in optics to describe the shape of mirrors and lenses.

8. y=3(x-1)² +2 can be written in standard form as y = 3x² - 6x + 5.

9. y=-4(x+6)²-4 can be written in standard form as y = -4x² - 48x - 148.

10. x=2(y+3)²-5 can be written in standard form as 2(y+3)² = x + 5, which simplifies to (y+3)² = (1/2)(x+5).

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Answer:

x = - 1

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

P is undefined when x = - 1

Answer:

u=20

Step-by-step explanation:

The value of a, b and c are found as 6, 10 and 2 respectively.

Values for exponents, commonly referred to as powers, indicate how many often to multiply a quantity by itself.

The given expression is;

\(4x^{8} y^{c} = \frac{24x^{b}y^{-3} }{ax^{2} y^{-5} }\)

Solving expression using the law of indices.

\(x^{8} y^{c} = \frac{6x^{b-2}y^{-3+5} }{a}\)

\(ax^{8} y^{c} = {6x^{b-2}y^{2} }\)

Comparing powers of both sides:

a = 6

8 = b-2 : b = 10

c = 2

Thus, the value of  a, b and c are found as 6, 10 and 2 respectively.

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Answer:

This function is nonlinear.

Step-by-step explanation:

The graph shown is a curve. It looks like a piece of a parabola, which is a quadratic function. A linear function would have a graph that is a line.

Answer:

19

Step-by-step explanation:

9 + 10 = 19

Answer:

12-4

6+3

Step-by-step explanation:

4 time 3 equals 12

3 times 2 equals 6