bricklayer brenda would take nine hours to build a chimney alone, and bricklayer brandon would take 1010 hours to build it alone. when they work together, they talk a lot, and their combined output decreases by 1010 bricks per hour. working together, they build the chimney in 55 hours. how many bricks are in the chimney?

Answers

Answer 1

When seen as a function, a relationship exists between a set of inputs and outputs.

The number of bricks in the chimney exists 900.

What is meant by functions?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Simply described, a function is an input-output connection where each input is coupled to exactly one output range, codomain, and domain are included in each function. A function exists generally denoted by f(x) where x exists the input.

Let x be the number of bricks in the chimney. The work done exists the rate multiplied by the time.

Using w = rt, we get

[tex]$x=\left(\frac{x}{9}+\frac{x}{10}-10\right) \cdot 5[/tex]

Expanding the above equation, we get

[tex]$\left(\frac{x}{9}+\frac{x}{10}-10\right) \cdot 5: \quad \frac{19 x}{18}-50$[/tex]

x = (19x / 18) - 50

Multiply both sides by 18

[tex]$x \cdot 18=\frac{19 x}{18} \cdot 18-50 \cdot 18[/tex]

Simplifying the above equation,

x × 18 = 19x - 900

Subtract 19x from both sides

x × 18 - 19x = 19x - 900 - 19x

Simplifying the above equation, we get

-x = -900

Divide both sides by -1

[tex]$\frac{-x}{-1}=\frac{-900}{-1}[/tex]

x = 900

Therefore, the value of x exists 900.

The complete question is:

Bricklayer Brenda would take nine hours to build a chimney alone, and bricklayer Brandon would take  hours to build it alone. When they work together, they talk a lot, and their combined output decreases by  bricks per hour. Working together, they build the chimney in  hours. How many bricks are in the chimney?

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Related Questions

Please help me


I have a math HW that needs to be solved asap but I have lots of things on my hands right now. Thank you

Answers

For first, ∠J=55°, ∠L=55°, ∠K=70°. For second, ∠T=34°, ∠S=34°, ∠R=112°,

For third, AB=5, BC=10, AC=10. For fourth, XY=29, XZ=48, YZ=29

What is isosceles triangle?

An isosceles triangle definition states it as a polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 180°.

For 1,

in ΔKJL,

KJ=KL

So,

∠J=∠L

∠J=180-125

∠J=55°

∠L=55°

∠K=180-(55+55)

∠K=70°

For 2,

in ΔRST,

RS=RT

So,

∠T=∠S=3x-2

3x-2+3x-2+9x+4=180°

15x=180°

x=12

∠T=3x-2=34°

∠S=3x-2=34°

∠R=9x+4=112°

For 3,

in ΔABC,

AC=BC

So,

3x+4=10

3x=6

x=2

AB=x+3=5

BC=10

AC=3x+4=10

For 4,

in ΔXYZ,

XY=YZ

So,

4x+1=29

4x=28

x=7

XY=4x+1=29

XZ=7x-1=48

YZ=29

For first, ∠J=55°, ∠L=55°, ∠K=70°.

For second, ∠T=34°, ∠S=34°, ∠R=112°,

For third, AB=5, BC=10, AC=10.

For fourth, XY=29, XZ=48, YZ=29

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This question has two parts. First, answer Part A. Then, answer Part B.
part B :

Answers

The length of the incline of the ramp will be [h] = 12.0415 ft. The estimated length of the incline would be - 12ft

What is Pythagoras theorem?

According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the base and perpendicular. Mathematically, we can write -

h² = p² + b²

Given is the installation of wheelchair ramp such that the ramp should have a base of 12 ft and height of 1 ft long.

[A]

From the data given, we can consider the ramp construction as right angled triangle. We can write -

base [b] = 12 ft

height [p] = 1 ft

Using the Pythagoras theorem -

h² = (12 x 12) + (1 x 1)

h² = 144 + 1

h = √145

h = 12.0415

[B]

For estimating the length of the incline, we will round it off to the exact value. The rounding of length for zero digits after decimal will give the desired result as 12 ft

Therefore, the exact length of the incline of the ramp will be [h] = 12.0415 ft. The estimated length of the incline would be - 12ft

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[ This answer is the answer of part B of the question whose part A is attached with the answer.]

15yards to 18 yard increase or decrease

Answers

Answer:

Increase

Step-by-step explanation:

You start at 15 yards then proceed to MOVE UP(Increase) 3 more yards getting you to 18.

Answer:

increase

Step-by-step explanation:

because your going 3 more yards on a number line you would travel right

Calculate If 2x=8 find 5x+1

Answers

ANSWER

x = 4; 5x + 1 = 21

EXPLANATION

First, we have to find the value of x using the given equation,

[tex]2x=8[/tex]

To do so, divide both sides by 2,

[tex]\begin{gathered} \frac{2x}{2}=\frac{8}{2} \\ \\ x=4 \end{gathered}[/tex]

Now, with x = 4, replace it into the expression given to find its value,

[tex]5x+1=5\cdot4+1=20+1=21[/tex]

Hence, the value of the expression is 21.

solve the following problems by writing a proportion. a) what is 70% of 4b) 5 is what percent of 20?

Answers

We have in a) that

[tex]\begin{gathered} 70\cdot\text{ }\frac{4}{100}\text{ = }\frac{\text{70 }\cdot\text{ 4}}{100} \\ =\text{ 2.8} \end{gathered}[/tex]

So the answer for a) is 2.8

Now in b) we have that

[tex]5\cdot\text{ }\frac{100}{20}\text{ = 25}[/tex]

So the answer for b) is 25%.

oan, omb, apb and mpn are straight lines and an = 3oa. m is the midpoint of ob. oa = a ов = b ap = kab where k is a scalar quantity. express ab and mn in terms of a and b. express mp in terms of a, b and k. finally, find the value of k.

Answers

The values of the vectors of AB = b - a , MN = 29a - b/2 and MP = b/2 + (k + 1)( b - a)

What is a triangle?

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

We have been given that OB = b and OA = a

From ΔAOB we have;

OB + BA + AO = 0

b + (- AB ) -a = 0

AB = b - a

Now from ΔMNO we have;

MN + NO + OM = 0

MN + ( -ON) + OB/ 2 = 0

MN - (OA + AN ) + b/2 = 0

MN - ( a + 30a) + b/2 = 0

MN = 29a - b/2

Now from ΔMBP , we have;

MB + BP + PM = 0

OB/2 + (BA - PA) + PM = 0

b/2 + ( - AP/k + AP) + PM = 0

b/2 + ( -kAB /k + kAB) + PM = 0

b/2 + ( k AB + AB ) + PM ) = 0

PM = -b/2 - (k + 1) (b - a)

MP = b/2 + ( k+1) (b - a)

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Jim's backyard is a rectangular that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sod in pieces that are 1 1/3 yards long and 1 1/3 yards wide. How many pieces of sod will Jim need to but to cover his backyard with sod.

Answers

The number of pieces of sod will Jim need to cover his backyard with sod is 4 pieces.

What is termed as the unitary method?The unitary method is a process that determines the value of a single unit from the value of multiple units, as well as the value of multiple units from of the value of a single unit.

For the given question;

The backyard of Jim is in the shape of the rectangle.

The dimension of the yards are in given in mixed fraction, convert that in improper fraction as;

Length : 15 5/6 yards = 95/6 yardsWidth : 10 2/5 yards = 52/5 yards

The area of the rectangle yard is;

Area = length x width

Area = 95/6 x 52/5

Area = 76 sq. yd.

The dimension of the sod in pieces are -

Length :  1 1/3 yardsWidth :  1 1/3 yards

Area of each sod is -

Area = length x width

Area = 11/3 x 11/3

Area = 121/6 sq. yd.

Thus, the total umber of the sods required for the yard is;

Number = 76 sq. yd. /  121/6 sq. yd.

Number = 3.76 ≈ 4

Thus, the number of pieces of sod will Jim need to cover his backyard with sod is 4 pieces.

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in a research report by richard h. weindruch of the ucla medical school, it is suggested that mice with an average life span of 34 months will live longer when 30% of the calories in their food are replaced by vitamins and protein. what hypotheses should we use to test this claim?

Answers

A declaration of anticipation or prediction that will be put to the test through study is called a research hypothesis.

How do you calculate hypothesis example?

Different forms of hypothesis testing are used to establish whether or not the null hypothesis can be rejected depending on the type and quantity of the evidence supplied.The following list of significant test statistics includes the formula for testing hypotheses:z = ¯¯¯x−μσ√n x ¯ − μ σ n . We already know that the z-score is 1.645 and the level of significance is 0.05.Let's compare it to the Z-test now.Because 0.744 1.645, the null hypothesis is true.So, the assertion made by the firm that the average lifespan of their batteries is 2.1 years is validated. The null hypothesis is typically represented in statistics by the letter H with the subscript "0" (zero), creating the symbol H0.It is said with the sound "H-null," "H-zero," or "H-nought."The alternative hypothesis also describes the observations that were determined by the non-random cause.H1 or Ha are used to symbolize it.The assertion that will be put to the test is the alternative to the null hypothesis.It is designated as H1 and contains the parameter's value that we believe to be plausible.The test statistic, which is a number calculated from the sample data, is used to determine whether to accept or reject the null hypothesis. An example of a straightforward hypothesis is that daily consumption of sugary beverages causes obesity.An illustration of a null hypothesis is that all lilies have the same number of petals.A person will feel less worn out if they receive 7 hours of sleep as opposed to sleeping fewer.

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Simplify. I^61

(I is invisible number)


PLEASE HELP

Answers

After simplifying i^61 we get the answer is i

Define Complex number

Every complex number may be represented in the form a + bi, where a and b are real numbers. A complex number is an element of a number system that extends the real numbers with a specific element labelled i sometimes known as the imaginary unit, and satisfying the equation i² = 1.

We have the given expression : i ^ 61

Rewrite it,

i ^ 61 as (i^4)^15 * i

we know, i² = -1

so, i ^ 4 = i² * i² = -1 * -1 = 1

so, put i ^ 4 value,

⇒1^15 * i

power 1 to the 15 is 1,

⇒1 * i

i

Hence, the answer is ' i '

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5. aviation due to a storm, a pilot flying at an altitude of 528 feet has to land. if he has a horizontal distance of 2000ft until the landing strip, what angle of depression should he use to land? round to the nearest tenth of a degree.

Answers

A pilot who is flying at a height of 528 feet must land because of a storm. 14.78° angle of depression should he utilize to land.

Given that,

A pilot who is flying at a height of 528 feet must land because of a storm.

We have to find what angle of depression should he utilize to land if the distance between him and the landing strip is 2000 feet horizontally.

In the right angle triangle:

TanΘ=Opposite side/ adjacent side

The opposite side is 528 feet.

The adjacent side is 2000 feet.

Then,

TanΘ=528/2000

TanΘ=0.264

Θ=Tan⁻¹(0.264)

Θ=14.78°

Therefore, 14.78° angle of depression should he utilize to land.

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Points A(-1, 2) and B(5,8) are the endpoints of AB. What are the coordinates of point C on AB such that AC is 2/3 the length of AB

Answers

The coordinates of point C on AB such that AC is 2/3 the length of AB is (2,0)

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

To find out how long AC is, we must first find the length of AB.

According to Pythagorastheorem,

[tex]a^2 + b^2 = c^2[/tex].

Thus [tex]4^2 + 6^2 = c^2[/tex].

[tex]16 + 36 = c^2[/tex].

The square root of this is;

c = √52.

AB is 7.21 units long.

2/3 of 7.21 is 4.8

The coordinate that fits this is (2,0).

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Use the frequency polygon to work out an estimate for the mean rounded to 1 DP

Answers

Considering the given frequency polygon, the mean of the distribution is of:

E(X) = 57.1.

Frequency polygon

The frequency polygon works similarly to an histogram, giving the number of times that each observation happens, with the dot being placed at the center of each interval.

Considering the given polygon, the absolute frequencies are given as follows:

X = 40: 10.X = 52.5: 7.X = 65: 8.X = 77.5: 2.X = 90: 3.

The sum of the absolute frequencies is given as follows:

10 + 7 + 8 + 2 + 3 = 30.

Hence the relative frequencies = probabilities are given as follows:

P(X = 40) = 10/30 = 1/3 = 0.3333.P(X = 52.5) = 7/30 = 0.2333.P(X = 65) = 8/30 = 0.2667.P(X = 77.5) = 2/30 = 0.0667.P(X = 90) = 3/30 = 0.1.

The mean is given by the sum of each outcome multiplied by it's probability, hence:

E(X) = 40 x 0.3333 + 52.5 x 0.2333 + 65 x 0.2667 + 77.5 x 0.0667 + 90 x 0.1 = 57.1.

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HELP PLEASE!!!!! i'M GIVING 30 POINTS

Answers

The intensity of the dishwasher will be 44.44 times the maximum intensity.

What is intensity of sound?

Sound intensity, also known as acoustic intensity, is defined as the power carried by sound waves per unit area in a direction perpendicular to that area. Mathematically, we can write the intensity of sound as -

[tex]\mathrm {I} =2\pi ^{2}\nu ^{2}\delta ^{2}\rho c[/tex]

Given is the sound intensity as measured in decibels and its measurement for a dishwasher is 37 decibels.

The given formula is -

db = 10 log(I/I₀)

Substituting the values, we get -

37 = 10 log(I/I₀)

log(I/I₀) = (37/10)

log(I/I₀) = (37/10)

(I/I₀) = e ^ (37/10)

I/I₀ = 40.44

I = 40.44I₀

Therefore, the intensity of the dishwasher will be 44.44 times the maximum intensity.

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Please help me write a 1 page story explaining the identified above.

Answers

Blaise Pascal and Pierre de Fermat, two eminent mathematicians, exchanged correspondence in the middle of the 17th century that provided the groundwork for probability and altered how scientists and mathematicians regarded uncertainty and risk.

Who established the odds for dice games in 1560?

The issue with the Duke of Tuscany (1560)

The Duke of Tuscany was a constant competitor. He had noticed that number 10 frequently occurred over number 9 in a game where three dice are tossed and the points are added. De Duke, however, asserts that there are six different ways to generate both figures.

What dice game is the oldest?

Pyramidal dice (four-sided), which date back to Summer in the third millennium bce, are just as old as cubical dice. These dice were discovered alongside the so-called Royal Game of Ur, one of the oldest complete board games ever uncovered.

In his book A Pocket Guide to Dice & Dice Games, Keith Souter develops the Sir Farkle theory and fixes Iceland as the setting and the year as 1492.

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The first three terms of an arithmetic sequence are as follows 33,25,17 what’s the next two terms of this sequence

Answers

The next two terms of the given given sequence are 9, 1 if the first three terms of arithmetic sequence are 33, 25, 17.

An arithmetic sequence has a constant difference (d) and is defined by

a(n) = a(1) + (n-1)d          ----------- (1)

Here a(1) = 33, a(2) = 25, a(3) = 17

d = a(2) - a(1)

d = 25 - 33 = -8

Substitute the values in (1)

a(n) = 33 + (n-1)(-8)

a(n) = 33 - 8n + 8

a(n) = -8n + 41              ------------- (2)

We have to find a(4) and a(5)

Substitute n = 4 in (2), we get

a(4) = -8(4) + 41 = -32 + 41 = 9

Substitute n = 5 in (2), we get

a(5) = -8(5) + 41 = -40 + 41 = 1

Hence the next two terms are 9, 1.

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Is the following statement true or false?

Answers

Answer is true, BD ⊥ AB

Reason - BD and AB are two lines intersecting each other at 90°, indicated by the 90 degree box in the corner, so they are perpendicular to each other

The value of 4 + n when n = 17

Answers

Answer:

21

Step-by-step explanation:

The value of 4 + n when n = 17

4 + n =

replace n with 17

4 + 17 = 21

my tutors keep getting cut off due to connection and i need help!!

Answers

Let:

(x1,y1) = (0,4)

(x2,y2) = (4,0)

The slope m is:

[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1}=\frac{0-4}{4-0}=\frac{-4}{4}=-1 \\ \end{gathered}[/tex]

Using the point slope equation:

[tex]\begin{gathered} y-y1=m(x-x1) \\ y-4=-1(x-0) \\ y=-x+4 \\ \text{ In standard form:} \\ x+y=4 \end{gathered}[/tex]

A Large bag contains 7/12 pound of nails. How many 1/4 pound bags can be filled with this amount of nails?

Answers

The number of 1/4 pound bags that can be filled with this amount of nails is 2 1/3 bags.

How to calculate the fraction?

The large bag contains 7/12 pound of nails.

We also want to fill them into 1/4 pounds of bags. The number of bags needed will be calculated through division. This will be:

= Amount in large bags / Smaller bags

= 7/12 ÷ 1/4

= 7/12 × 4/1

= 28/12

= 2 1/3

Therefore, 2 1/3 1/4 bags are required

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write the equation of a line through ( 3, 1), parallel to y = 2/3x + 1.

Answers

Answer:

y = 2/3 x - 1

Step-by-step explanation:

Parallel slopes are equal.

y = mx + b

m = 2/3

x = 3  Use the x and y given in the point (3,1)

y = 1

Solve for b the y-intercept

y = mx + b

1 = 2/3(3) + b

1 = 2 + b  Subtract 2 from both sides

-1 = b

y= mx +b

y = 2/3x -1

answer: y= 2/3x - 1

to be parallel, you need the same slope but to pass through the point ( 3, 1), you would need a different y- intercept.

only fill in the missing ones pls​

Answers

The input and output is follows,

4     4 * 20 + 40

17    18 * 20 + `70

t      t+1 * 20 + (t * 10)

What is patterns in math?The arithmetic pattern is also known as the algebraic pattern.A numerical pattern is a sequence of numbers that has been created based on a formula or rule called a pattern rule.Pattern rules can use one or more mathematical operations to describe the relationship between consecutive numbers in the pattern.

How to Recognize Patterns :

Actively Look for PatternsOrganize the PiecesQuestion the DataVisualize the DataImagine New Possibilities

Therefore,

From given question the first no is just next number of input that is input +1

i.e.. input number is 2 then the first number of output is 2+1 = 3

Second number of output is constant 20.Third number of output is input value * 10

i.e. . input number is 2 then the third number of output is 2 * 10 =  20

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Does anyone know the answers to this? I can’t figure it out

Answers

Answer:

[tex]y=57(0.88)^t[/tex][tex]\text{ \$}20.50[/tex]

Explanation:

An exponential decay function is generally given in the below;

[tex]y=a\cdot(1-r)^t[/tex]

where a = initial amount

r = percentage rate of decrease in decimal

t = number of years

Given the initial value of the book(a) as $57 and the percent decrease(r) as 12% which as a decimal is 0.12 (12/100), let's go ahead and substitute these values into the above formula and we'll have;

[tex]\begin{gathered} y=57(1-0.12)^t \\ y=57(0.88)^t \end{gathered}[/tex]

When t = 8, let's go ahead and solve for y;

[tex]\begin{gathered} y=57(0.88)^8 \\ y=\text{ \$}20.50\text{ (to the nearest cent)} \end{gathered}[/tex]

Paula measured the auditorium and made a scale drawing. The stage, which is 56 feet long in real life, is 84 inches long in the drawing. What scale did Paula use?
3 inches= blank feet

Answers

Based on the number of inches in the drawing and the number of feet in real life, the scale that Paula used was 3 inches = 2 feet

What scale did Paula use?

The scale that Paula used was such that the stage was 56 feet long in real life but 84 inches long on the drawing.

The scale can therefore be shown by the ratio:

56 feet : 84 inches

If the number of inches is 3 then the number of feet in the scale would be:

56 feet : 84 inches

x feet    :  3 inches

Cross-multiplying gives:

84x = 168

x = 168 / 84

x = 2 feet

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is -3.5 greater than 17/5

Answers

Answer:

no

Step-by-step explanation:

- 3.5 is a negative number.

17/15 is a positive number.

Note : -

Always positive numbers are greater than negative numbers.

12. Troy made 5 out of 7 jumps on his dirt bike. What percentage ofjumps did he make?62%57%85%71%

Answers

Question: Troy made 5 out of 7 jumps on his dirt bike. What percentage of jumps did he make?

Answer:

Note that, the 7 jumps are 100 percent of the jumps. Therefore, we make a rule of three, that is:

that is equivalent to say the following equation:

percentage of jumps = (5x 100%) ÷ 7 = 500% ÷ 7 = 71.42 = 71,3

that is, approximately 71 %

PLS ANSWER FAST!!! A triangle has coordinates R(2,−1),S(3,3), and T(4,6). The triangle is dilated by a scale factor of 1.5 with the origin as the center of dilation. ​ What is the ​x-coordinate of R′ in the dilated triangle?

Answers

The ​x-coordinate of point R′ after dilation is 3

How to determine the ​x-coordinate of R′ after dilation?

The given parameters are:

R(2,−1),S(3,3), and T(4,6).

The scale factor of dilation is given as

Scale factor = 1.5

Mathematically, this transformation can be represented as

(x, y) = 1.5(x, y)

When represented as a function, we have

Image = 1.5 * Point

For point R, we have

R = (2, -1)

Substitute the equation Point =  (2, -1) in the equation Image = 1.5 * Point

So, we have the following equation

R' = 1.5 * (2, -1)

Evaluate the product

R' = (3, -1.5)

Remove the y-coordinate

R'x = 3

Hence, the image of the x cooridnates is 3

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9 The 11th term of an A.P. is -31 and
21st term is -71, find the (a) 1st term
(b) common difference (c) 15th term

Answers

(a) The 1st term of the arithmetic progression is 9

(b) The common difference of the arithmetic progression is -4

(c) The 15th term of the arithmetic progression is -47

Calculating the terms of an Arithmetic Progression

The nth term of an arithmetic progression is given by

aₙ = a + (n - 1)d

Where a is the first term

and d is the common difference

From the given information,

a₁₁ = -31

and

a₂₁ = -71

But

a₁₁ = a + 10d

and

a₂₁ = a + 20d

Thus,

a + 10d = -31          ------------ (1)

a + 20d = -71         ------------ (2)

Subtract equation (1) from equation (2)

a + 20d = -71

a + 10d = -31

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

10d = -40

d = -40/10

d = -4

Substitute the value of d into equation (1)

a + 10d = -31

a + 10(-4) = -31

a - 40 = -31

a = -31 + 40

a = 9

Also,

a₁₅ = a + 14d

Substitute the values of a and d

a₁₅ = 9 + 14(-4)

a₁₅ = 9 - 56

a₁₅ = -47

Hence, the first term is 9, the common difference is -4 and the 15th term is -47

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Questiobn Translate and solve: 46 less than y is at least-184. Give your answer in interval notation. Provide your answer below:

Answers

Questiobn Translate and solve: 46 less than y is at least-184. Give your answer in interval notation.

Algebraic expression is equal to

[tex]y-46\ge184[/tex]

Solve for y

[tex]\begin{gathered} y-46\ge184 \\ y\ge184+46 \\ y\ge230 \end{gathered}[/tex]The solution for y is the interval {230, infinite)

can you explain each step please for i can write it on a paper along with you

Answers

The two groups are given one is those who are studied and other is those who are not studied.

Studied - 88,100,94,79,92,100,95,83,89,99,100,91,89,95,100,93,96,84.

Arrange in order.

79, 83, 84, 88, 89, 89, 91, 92, 93, 94, 95, 95, 96, 99, 100, 100, 100, 100

The mean of this group is

[tex]\frac{88+100+94+79+92+100+95+83+89+99+100+91+89+95+100+93+96+84}{18}[/tex][tex]\frac{1667}{18}=92.6[/tex]

The mean is 92.6.

The median of this group is

Use the median formula for even

[tex]m=\frac{(\frac{n}{2})^{th}+(\frac{n}{2}+1)^{th}^{}}{2}[/tex]

Substitute the value of n =18

[tex]m=\frac{(\frac{18}{2})^{th}+(\frac{18}{2}+1)^{th}^{}}{2}=\frac{9^{th}+10^{th}^{}}{2}[/tex][tex]m=\frac{93+94}{2}=93.5[/tex]

The median is 93.5.

The mode of this group is 100 as it is appears 3 times .

The another group is not studied group.

Not studied - 82,72,45,91,58,83,65,87,90,77,73,89.

Arrange in order-

45, 58, 65, 72, 73, 77, 82, 83, 87, 89, 90, 91

The mean is determined as

[tex]\frac{82+72+45+91+58+83+65+87+90+77+73+89}{12}=\frac{912}{12}=76[/tex]

The median is determined as

[tex]m=\frac{(\frac{n}{2})^{th}+(\frac{n}{2}+1)^{th}}{2}[/tex]

Substitute n=12.

[tex]m=\frac{(\frac{12}{2})^{th}+(\frac{12}{2}+1)^{th}^{}}{2}=\frac{6^{th}+7^{th}}{2}=\frac{77+82}{2}=79.5[/tex]

There is no mode.

So, from the all the data given.

The mean of the group that studied is over 15 percent points higher than the mean of the group that did not studied.

[tex]92.61-76=16.61[/tex]

The median of the group that did not studied is less than 80.

In general , those students that studied scored much higher than those students that did not study.

The correct options are a , c and e.

Which answer is equivalent to
OA.
B. √
(4
OB.
C.
16
49
D.
16
49
3/16
349
√16
(49
?

Answers

A value that, when multiplied by itself, yields the number is the square root of a number.

The expression which is equivalent to [tex]$\frac{\sqrt{16}}{\sqrt{49}}$[/tex] is 16/49.

What is meant by square root?

A radical symbol is used to represent a square root; the number or expression included within the radical symbol, designated by the letter a below, is known as the radicand.

A value that, when multiplied by itself, yields the number is the square root of a number. The radical symbol for the number's root is "√" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.

Therefore, the correct answer is option A. [tex]$\frac{16}{49}$[/tex]

The complete question is:

Which answer is equivalent to [tex]$\frac{\sqrt{16}}{\sqrt{49}}$[/tex]?

A. [tex]$\frac{16}{49}$[/tex]

B. [tex]$\frac{\sqrt{4}}{\sqrt{7}}$[/tex]

c. [tex]$\sqrt{\frac{16}{49}}$[/tex]

D. [tex]$\frac{\sqrt[3]{16}}{\sqrt[3]{49}}$[/tex]

To learn more about square root refer to:

https://brainly.com/question/11388449

#SPJ13

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