Write story problem that can be solved by finding the sume of 506.211 and421.809 then solve the problem

Answer:

19 is 47.5% of 40.

Step-by-step explanation:

First, you have to use the formula is/of=%/100, so since 19 is closest to the word is, 19 will go on the top left, since 47.5% is a percentage it will go on top of 100, finally, 100 always goes on the bottom and x will be the of, since there is no given number for it (19/x=47.5/100). You cross multiply (19x100) then divide it by the remaining number (47.5) then you get your answer of 40.

Answer:

Due to the higher Z-score, Demetria should be offered the job.

Step-by-step explanation:

Z-score:

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Whichever applicant had grade with the highest z-score should be offered the job.

Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.

For Demetria, we have \(X = 85.1, \mu = 61.1, \sigma = 12\). So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{85.1 - 61.1}{12}\)

\(Z = 2\)

Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.

For Vincent, we have \(X = 299.2, \mu = 264, \sigma = 22\).

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{299.2 - 264}{22}\)

\(Z = 1.6\)

Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.

For Tobias, we have \(X = 7.26, \mu = 7.1, \sigma = 0.4\).

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{7.26 - 7.1}{0.4}\)

\(Z = 0.4\)

Due to the higher Z-score, Demetria should be offered the job.

Answer:

$1000

Step-by-step explanation:

Check answers

1000x .03= 30

1000 - 30 = 970

Answer:

gradient = \(\frac{3}{2}\) , y- intercept = \(\frac{5}{2}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

given

2y - 3x = 5 ( add 3x to both sides )

2y = 3x + 5 ( divide through by 2 )

y = \(\frac{3}{2}\) x + \(\frac{5}{2}\) ← in slope- intercept form

with gradient m = \(\frac{3}{2}\) and y- intercept c = \(\frac{5}{2}\)

The gradient is:

The y intercept is:

Work/explanation:

Let's rearrange the equation first so that it's in slope intercept.

Our equation is

\(\bf{2y-3x=5}\)

And we should write it in \(\bf{y=mx+b}\) form. Let's go ahead and perform the required operations.

________________________

Add 3x on each side:

\(\bf{2y=5+3x}\)

\(\bf{2y=3x+5}\)

Now, divide each side by 2:

\(\bf{y=\dfrac{3}{2}x+\dfrac{5}{2}}\)

This is the equation in slope intercept.

As for the gradient, that is the number in front of x : 3/2.

As for the y intercept, that is the constant : 5/2

Hence, these are the answers.

Answer:

3$ ≤ c

Hope this helps.

Answer:

We are trying to calculate the area of the park by modeling it with shapes. To start, the larger rectangle (green) toward the top is the easiest to calculate. Its length is 8 yards and its width is 4 yards, so the area would be 8 x 4 = 32 yards^2.

Next, the 3 rectangles at the bottom (white). The one in the middle has a length of 4 yards and a width of 3 yards, so its area is 4 x 3 = 12 yards^2. The two rectangles to either side are the same size, so together their area will be 2 x 4 x 3 = 24 yards^2.

Now that we have modeled the park with 3 shapes, we need to add the areas together to get the total area. So, we have 32 + 12 + 24 = 68 yards^2. The total area of the park is 68 yards^2.

Step-by-step explanation:

The area of the park is about :

95 + 27 = 122 yards

We have the following information available from the question is:

The outline of a park is shown in the diagram. Each square on the grid represents a square yard. Use shapes to model the area of the park.

Now, According to the question:

Each square on the grid represents a square yard, and as we can see from the figure that the complete square is about 95, the incomplete grid is about 27,

So the area of the park is about :

95 + 27 = 122 yards

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Answer:

\( x = - 1\)

\(x + 1 = 0\)

\( {(x + 1)}^{2} = {x}^{2} + 2x + 1 = 0\)

So m = 2 and n = 1, meaning m + n = 3.

For this equation you simply have to graph it.

First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.

Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.

Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.

Hope this helps a bit,

Using the given zero . The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.

If 1 + i is a zero of the polynomial function P(x), then its conjugate, 1 - i, must also be a zero of the polynomial, since complex zeros of polynomial functions with real coefficients always come in conjugate pairs.

To find the remaining zero, we can use polynomial division or synthetic division to divide P(x) by (x - 1 - i)(x - 1 + i), which is the quadratic factor corresponding to the two known zeros:

      2x^2 - 3x + 2

P(x) = --------------

       (x - 1 - i)(x - 1 + i)

Now we need to solve for the roots of the quadratic factor 2x^2 - 3x + 2. We can use the quadratic formula:

x = [3 ± sqrt(9 - 4*2*2)] / (2*2)

 = [3 ± sqrt(1)] / 4

 = 1/2 or 2

Therefore, the remaining zeros of P(x) are 1/2 and 2. The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.

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Answer:

108.35

Step-by-step explanation:

Order of Operations: PEMDAS

PEMDAS  =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

First, multiply 5.4 with 15.75:

5.4 x 15.75 = 85.05

Next, add:

85.05 + 23.3  = 108.35

108.35 is your answer.

~

Answer:

Step-by-step explanation:

\(23.3+5.4\cdot \:15.75\\\\\mathrm{Multiply\:the\:numbers:}\:5.4\cdot \:15.75=85.05\\=23.3+85.05\\\\\mathrm{Add\:the\:numbers:}\\:23.3+85.05=108.35\)

The volume of the rectangular prism is 4.84 cm cube.

A rectangular prism is filled exactly with 605 cubes. Each cube has edge

length 1 / 5 cm. Therefore, the volume of the rectangular prism can be

calculated as follows:

volume of each cube = l³

volume of each cube = (1 / 5)³

volume of each cube = 1 / 125 cm³

Therefore,

volume of the rectangular prism = 605 × 1 / 125

volume of the rectangular prism = 605 / 125

volume of the rectangular prism = 4.84 cm³

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Given dimensions of the room:

Length: \(\displaystyle\sf 12.5 \,m\)

Width: \(\displaystyle\sf 9 \,m\)

Height: \(\displaystyle\sf 7 \,m\)

Area of each wall:

\(\displaystyle\sf Area_1 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_2 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_3 = 9 \times 7 = 63 \,m^2\)

\(\displaystyle\sf Area_4 = 9 \times 7 = 63 \,m^2\)

Area of each door:

\(\displaystyle\sf Area_{\text{door}} = 2.5 \times 1.2 = 3 \,m^2\)

Area of each window:

\(\displaystyle\sf Area_{\text{window}} = 1.5 \times 1 = 1.5 \,m^2\)

Total area occupied by doors:

\(\displaystyle\sf Total_{\text{doors}} = 2 \times Area_{\text{door}} = 2 \times 3 = 6 \,m^2\)

Total area occupied by windows:

\(\displaystyle\sf Total_{\text{windows}} = 4 \times Area_{\text{window}} = 4 \times 1.5 = 6 \,m^2\)

Total wall area excluding doors and windows:

\(\displaystyle\sf Total_{\text{wall\,area}} = (Area_1 + Area_2 + Area_3 + Area_4) - Total_{\text{doors}} - Total_{\text{windows}}\)

\(\displaystyle\sf = (87.5 + 87.5 + 63 + 63) - 6 - 6\)

\(\displaystyle\sf = 275 - 6 - 6\)

\(\displaystyle\sf = 263 \,m^2\)

Cost of painting the walls:

\(\displaystyle\sf Cost_{\text{painting}} = Total_{\text{wall\,area}} \times 3.50\)

\(\displaystyle\sf = 263 \times 3.50\)

\(\displaystyle\sf = 920.50 \,Rs\)

Therefore, the cost of painting the walls of the room at Rs. 3.50 per square meter is Rs. 920.50.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

23

Step-by-step explanation:

Assume the digits are

1, 4 or 2,3

The number can be 14, 41, 23, 32

Test each one:

14 + 9 = 23 does not work

41 + 9 = 50 does not work

23 + 9 = 32 works

32 + 9 = 41 does not work

Answer:

29.13 gallons

Step-by-step explanation:

27.63+1.5

29.13

Answer:

The \(66\)th term is \(363\).

Step-by-step explanation:

To find the \(n\)th term, the formula is \(7n - 99\). Since we want to find the \(66\)th term, we can plug \(n\) for \(66\). So our expression is now \(7 \cdot 66 - 99 =\) \(66\)th term. Solving this we have

\(462 - 99 = 66\text{th term}\\363 = 66\text{th term}\\\). Therefore, the \(66\)th term is \(\boxed{363}\).

Answer:

a₆₆ = 363

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 92 and d = a₂ - a₁ = - 85 - (- 92) = - 85 + 92 = 7 , then

a₆₆ = - 92 + (65 × 7)

      = - 92 + 455

     = 363

Answer:

His economics grade had a higher z-score, so you performed better relative to the class average in economics.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In which class did you perform better relative to the class average?

In whichever class you had the higher z-score.

Statistics:

Scored 65, mean 60, standard deviation 6. So \(X = 65, \mu = 60, \sigma = 6\)

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{65 - 60}{6}\)

\(Z = 0.83\)

Economics:

Scored 78, Mean 75, Standard deviation 2.5. So \(X = 78, \mu = 75, \sigma = 2.5\)

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{78 - 75}{2.5}\)

\(Z = 1.2\)

His economics grade had a higher z-score, so you performed better relative to the class average in economics.

Answer:

y = 4/5x + 1

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

y = 4/5x + 1

Answer:4y-5x=5

Step-by-step explanation:

The estimated difference of 3 1/2 and 1 1/3 is 2 1/6.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Are two fractions 3 1/2 and 1 1/3.

Now, The difference between 3 1/2 and 1 1/3 would be,

1/2 - 1/3 is 1/6 and 3 - 1 is 2,

So, The estimated 3 1/2 -1 1/3 is 2 1/6.

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Answer:

The answer is 28.6

Step-by-step explanation:

10/35 you get it in a percentage

Answer:

C = 6π in

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

the area (A) of a circle is calculated as

A = πr²

given A = 9π , then

πr² = 9π ( divide both sides by π )

r² = 9 ( take square root of both sides )

r = \(\sqrt{9}\) = 3

then

C = 2π × 3 = 6π in

The circumference of the circle is C = 6π inches

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the circumference of the circle be C

Now , the area of the circle be A = 9π inches²

where area of the circle = πr²

So , r² = 9

Taking square roots , we get

r = 3 inches

Now , the circumference C = 2πr

C = 6π inches

Hence , the circumference is 6π inches

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Given the equation of the line in point-slope form:

Based on this, one point of the line is (-1, 3). Now, the slope-intercept form of the equation is:

Then, another point of the line is (0, 24/5) = (0, 4.8). Finally, the graph of the equation is:

ANSWER

5:1

EXPLANATION

Answer:

Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet

Step-by-step explanation:

The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)

The total gallons of the milk bought by the grocery store is 76 half of gallons.

The total amount of money it costs a supplier to produce a given commodity or provide a specific service is referred to as the cost price.

Now, for the for the given question;

Profit is calculated as total revenue less total costs.

Let 'b' represents the half gallons of milk sold.

The selling price $4.04 per half gallon.

Total selling = 4.04×b

The cost price is $2.30 per gallon.

Then, total cost price = $2.30(13.5 + b)

The profit made is $100.60.

Put the values in the formula of profit;

($4.04×b) - $2.30(13.5 + b) = $100.60.

Do the simplification;

4.04b -31.05 - 2.30b = 100.60

1.74b = 131.05

b = 75.66

b = 76 half of gallons.

Therefore, the grocery store bought milk of quantity 76 half of gallons.

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Answer:

cot (x) ; D

Step-by-step explanation:

Mathematically;

cosec is 1/sin

So if cosec is 14/10 , then sin is 10/14

Sine refers to opposite/hypotenuse

So to get the adjacent, we use the pythagoras theorem.

According to this, the square of the hypotenuse equals the sum of the squares of the opposite and adjacent

Hence to get the value of the adjacent, we have;

14^2 - 10^2 = O^2

O^2 = 196-100

O^2 = 96

O = square root of 96

Now, mathematically, we know that Tan is opposite/ adjacent

So in this case tan = 10/√96

But cot is 1/tan

Thus cot = √96/10

So cot is our answer

Answer:

A. cos(x)

Step-by-step explanation:

Answer:

The height of the squirrel is 31 feet.

Step-by-step explanation:

You need to know your Right Triangle Trigonometry to do this problem.

Rt Triangle trig is all about ratios. Angles and ratios.

In your question, there is a rt triangle. The side measure given, 28 is next to the angle. The math word for "next to" is "adjacent" You know the adjacent side. The squirrel's height is the opposite side. The ratio that puts together adjacent and opposite is tangent.

tan Angle = opposite/adjacent

tan 48° = x/28

multiply both sides by 28

28•tan48° = x



You have to use a calculator that has trig functions. It will have buttons that say "sin", "cos", and "tan"



Enter 28 × tan48° =

It will return 31.0971504152

Your question asks you to round to the nearest whole.

x = 31

The squirrel's height in the tree is 31ft.

Answer:

5 out of 6, or 83%

Step-by-step explanation:

6 sides and since it will not land on 3.  It will be 5/6 which equals 83%

Answer:

What do you mean by combining terms?

If you have an equation like y=3(2+x), then you would need to substitute for x before you combined the terms "2" and "x"