In the segment below, QV = 23. QT = 8. TR = RS = SV.

Al must score 96 in his final test to get an average of 81.

An average or mean is one number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group.

If every number in a list is the same number, then the average of the numbers in the list is also this number. Every one of the diverse varieties of average shares this characteristic.

The sum of the  of the numbers 2, 3, 4, 7, and 9 is 25, the average of the numbers is equal to 25 divided by 5=5.

Let Al scores x on final test.

Average score on first 3 tests=76

Total score on first 3 tests=76×3=228

Total score in 4 tests=228+x

Average score of 4 tests=(228+x)÷4

Average to be obtained in 4 tests=81

therefore we can equate the two expressions to calculate x.

(228+x)÷4=81

or, 228+x=324

or,x=324-228

or, x=96

Hence Al needs to get 96 on his final test so that his average is 81.

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This testing procedure is an example of a randomized block design experiment.

So, the given situation of a health and fitness company in the testing procedure is an example of a randomized block design experiment.

Therefore, this testing procedure is an example of a randomized block design experiment.

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The correct question is given below:
A health and fitness company is testing a newly designed exercise and weight loss program. It is suspected that the new program is more effective in assisting weight loss. A group of 220 volunteers is first separated into 6 groups, labeled A to F, based upon age and weight such that these qualities are similar within each group. The age and weight of the volunteer is initially measured. Within each group, participants are randomly assigned to either undergo the new exercise program or undergo a conventional exercise program. In addition, the daily calorie intake is set to a particular amount, either low, moderate or high, and maintained at that level for the duration of the program. At the end of six months, the percentage of weight lost is measured for each unit and the results are collected and compared.

This testing procedure is an example of a ____.

Answer:

The equation would change to f(x)=40x+80

Step-by-step explanation:

you add 15 to the 65 as that is the security deposit

Answer: It is Yes

Step-by-step explanation:

1. Since y = 40x + 65 was the original equation, when added 15 dollars to the security deposit, the equation changed by adding 15 into 65, changing it's y-int.

Answer:

linear

Step-by-step explanation:

ANSWER:

[tex]y=3x+5[/tex]

draw a point at (0,-5). then move up 3 units, and right one unit. draw a pont there. using a ruler, connect the dots and draw arrows on each end to show it continues.

[tex]y=-\frac{3}{2} x+3[/tex]

draw a point at (0,3). move down 3 units, and right 2 units. draw a point there. connect them as before

EXPLANATION:

[tex]y=mx+b[/tex] is the slope-intercept form of an equation, where m is the slope, and b is the y-intercept.

i used desmos, a web application, for the graph

Answer:

y=3x+5

Step-by-step explanation:

2 3/8 gallons of paint will cover 950 square feet by unitary method.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

By unitary method,

1 gallon paint covers 400 sq feet.

2 3/8 = [tex]\frac{19}{8}[/tex] gallons of paint will cover: [tex]400(\frac{19}{8})[/tex] = 950 sq. feet

Hence, 2 3/8 gallons of paint will cover 950 square feet by unitary method.

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The value of the expression 3x + 5y will be 47.

It should be noted that an equation is used in Mathematics to show the relationship the exist between different variables.

The given equations are:

x - 4y = -10 ...... i

2x + 9y= -3 ....... ii

Multiply equation i by 2

Multiply equation ii by 1

2x - 8y = -20 ...... iii

2x + 9y = -3. ..... iv

Subtract equation iv from iii

(2x - 2x) (-8y - 9y) = (-20 + 3)

-17y = -17

Then, we have to divide by the coefficient.

y = -17/-17

y = 1

Since x - 4y = -10.

We will then put the value of y = 1 into the equation

x - 4(1) = 10

x = 10 + 4

x = 14

Therefore, 3x + 5y will be:

=3(14) + 5(1)

= 42 + 5

= 47.

In conclusion, the value of 3x + 5y is 47.

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Answer:

a. 1.37

b. 1.37

c. 1.37

all of them are 1.37 or they are all 137

Step-by-step explanation:

The sum of two multiples of 3 is a multiple of 3. This shows the proof is correct.

It should be noted that the information given is to prove that the sum of a multiple of 3 is also a multiple of 3.

This will be illustrated thus. Let's use the numbers 6 and 15. It should be noted that the addition of the numbers will be:

= 6 + 15

= 21

It should be noted that 21 is a multiple of 3. Therefore, the proofing is correct.

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Answer:

Step-by-step explanation:

2030-230=1800

1800/75=24

Answer:

"Sighs" should be "Sighed"

Answer:

81.9 inches, 63.7 inches, 45.5 inches respectively

Step-by-step explanation:

Total number of units = 9+7+5 = 21

21 units = 191.1 inches

1 unit = 191.1/21 = 9.1 inches

9 units = 9.1 x 9 = 81.9 inches

7 units = 9.1 x 7 = 63.7 inches

5 units = 9.1 x 5 = 45.5 inches

Answer:

31 oz.

Step-by-step explanation:

8.37/0.27 = 31

if one ounce equals $0.27, then Maria bought 31 ounces with the $8.37

unless she had to pay taxes on it, which wasn;t mentioned so I guess she didn't pay taxes :)

Step-by-step explanation:

B: translated across the y axis and shifted upwards 2 units.

Answer:

13 hours

Step-by-step explanation:

536/8=67

871/67=13

Answer: rational

Step-by-step explanation: If a number is terminating number or repeating decimal, then it is rational.

Answer:

Rational

Step-by-step explanation:

If a number has a finite number of digits or could be written in a fraction that consists of numbers with a finite number of digits(-51 and 5 have a finite number of digits), then it is a rational number. Hence, -51/5 is a rational number.

If O is the midpoint of LN and P is the midpoint of MN and if OP = 31 - 2x, and LM = 38 + 4x, then the measure of LM = 88

As per the question statement, Triangle LMN where O is the midpoint of LN and P is the midpoint of MN and if OP = 31 - 2x, and LM = 38 + 4x, we are supposed to find the measure of LM.

As O is the mid point of LN and P is the midpoint of OP the using the Mid point theorem, we can say that in Triangle LMN

[tex]OP=\frac{LM}{2}[/tex]

Substituting values,

[tex]31-2x=\frac{38+4x}{2} \\2(31-2x)=38+4x\\62-4x=38+4x \\8x = 100\\x=12.5[/tex]

LM =  38 + 4x

[tex]LM = 38 + 4(12.5)\\LM=38 + 50\\LM=88[/tex]

Hence value of LM is 88

This question is a classic example of how to solve linear equations.

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The length and width of the rectangle are: 10 inches and 5 inches.

Rectangle refers to a plane shape, as opposed to a square, with four straight sides and four right angles, particularly one with uneven neighboring sides.

Given:

To find: the length and width of the rectangle.

Finding:

Let the width of the rectangle be 'x'

Then the length of the rectangle = x + 5

Now, area of the rectangle = width (length)

=> 104 = x ( x + 5)

=> x² + 5x - 104 = 0

=> x² + 13x - 5x - 104 = 0

=> (x + 13) (x - 5) = 0

Since the lengths can't be negative, x = 5, i.e., the width of the rectangle = 5 inches

=> Length = 5 + 5 = 10 inches

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Answer:

m = e/c^2

Step-by-step explanation:

e = mc^2

m = e/c^2

Answer:

I think 7.5 answer is right

Answer:

2.5 cm.

Step-by-step explanation:

7.5 - 5

= 2.5

Answer:

100 times more

Answer: 76b2

Step-by-step explanation: hope this helps!!!!

Answer:

C

Step-by-step explanation:

(-4b)(-19b)

76b^2

PEMDAS

Answer: 6x=40

x=40/6

x=6+2/3

Step-by-step explanation: hope this helps!!!

Step-by-step explanation:

4.50+1.50=55-15

6=40 ........

The square root that could be the number shown on the number line is √17

On the number line, the position of the point is

Point = 4.1

Square both sides of the above equation

So, we have"

Point^2 = 4.1^2

This gives

Point^2 = 16.81

Approximate

Point^2 = 17

Hence, the square root that could be the number shown on the number line is √17

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Answer: Equation: 3x-2=4

               Solutoin: x=2

Step-by-step explanation:

[tex]x+x+x-1-1=1+1+1+1\\3x-2=4\\3x-2+2=4+2\\3x=6[/tex]

Divide both parts of the equation by 3:

[tex]x=2[/tex]

Answer:D

Step-by-step explanation:

Answer:B (8)

Step-by-step explanation:

OVER 50 means anything higher than 50, NOT OLDER THAN 70 means anything that's 70 or lower. So we have a range of 51-70. Now, when we look at the diagram, we can tell that there are 4 people who are 51-60 years old which fits to the range we are looking for. Same with the 4 people in the 61-70 range.

Using the percentage concept, it is found that:

a) Her tolerance is of (60 ±  6 minutes).

b) As a percentage, her tolerance times are of 60 minutes (± 10%).

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

For this problem, the interval is between 54 and 66 minutes, that are both within 6 minutes of the mean of 60 minutes, thus:

a) Her tolerance is of (60 ±  6 minutes).

For item b, we want to find the tolerance as a percentage, that is, the percentage that the tolerance of 6 minutes is from the time of 60 minutes, hence:

P = 6/60 x 100% = 0.1 x 100% = 100%.

Hence:

b) As a percentage, her tolerance times are of 60 minutes (± 10%).

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The values of A, B and C are 36, 7 and 3, respectively.

In this problem we have the addition of two positive integers that are divisible to 2. First, we proceed to decompose each element of the addition as a product of prime numbers:

252 = 2² × 3² × 7

108 = 2² × 3³

The greatest common factor is the greatest integer that can be removed from the addition by distributive property. Then, the greatest common factor is 2² × 3² = 36 and finally:

(2² × 3²) · (7 + 3)

36 · (7 + 3)

The values of A, B and C are 36, 7 and 3, respectively.

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Answer: w>-27

Step-by-step explanation: I believe that this is your answer I am sorry if it is incorrect.

Answer:

[tex]y = 120x [/tex]

Step-by-step explanation:

Equation of a straight line is

[tex]y = mx + b[/tex]

m= slope of line = rise/run which can be computed by taking two points on the line, finding the difference I the y coordinate values and dividing by the correspoding difference in their x coordinate values

b is the y-intercept where the line crosses the y-sxis

Looking at the graph we can see that the line crosses the y-sxis at the origin (0, 0) so the y-intercept is at y=0

The slope is determined by examining the two highlighted points (3, 360) and (2, 240)

Slope =

[tex] \frac{360 - 240}{3 - 2} = \frac{120 }{1} = 120[/tex]

So equation of line is

[tex]y = 120x + 0[/tex]

or

[tex]y = 120x[/tex]