4.7 + 2.25 find the sum

Answer:

school! 678

Step-by-step explanation:

Which statement is not correct regarding "Gram Sabha"?

functions at the village level are like state legislature at the state level.

Answer:

Domain:\(0 \le t \le 9\)

Range: \(7200 \ge \ d \ge \ 0\)

Step-by-step explanation:

Given

\(d = 7200 - 800t\)

Required

Determine the domain and range

From the attached graph, the values of t (on the horizontal axis) starts from 0 and ends at 9.

Hence, the domain is: \(0 \le t \le 9\)

When t = 0:

\(d = 7200 - 800t = 7200 - 800 * 0 = 7200\)

When t = 9

\(d = 7200 - 800t = 7200 - 800 * 9 = 0\)

Hence, the range is:

\(7200 \ge \ d \ge \ 0\)

Answer:  Oki should make 0 bags of her recipe, and Stephen should make 30 bags of his recipe.

For vertex (15,15):

3x + 4y = 120 --> 3(15) + 4(15) = 120 --> x = 15

3x + 2y = 90 --> 3(15) + 2y = 90 -->

Step-by-step explanation: A. To find the maximum number of bags of trail mix that Oki and Stephen can make together, we can use a system of inequalities to represent the constraints:

Let "x" be the number of bags of trail mix that Oki makes and "y" be the number of bags that Stephen makes. Then we have:

3x + 4y ≤ 120 (constraint on the number of cups of nuts)

3x + 2y ≤ 90 (constraint on the number of cups of dried fruit)

x ≥ 0 (non-negative constraint for Oki's bags)

y ≥ 0 (non-negative constraint for Stephen's bags)

B. To graph the feasible region, we can start by graphing the two constraint equations as lines:

3x + 4y = 120 (line A)

3x + 2y = 90 (line B)

We can find the x and y intercepts for each line:

For line A:

When x = 0, 4y = 120, y = 30 (y-intercept)

When y = 0, 3x = 120, x = 40 (x-intercept)

For line B:

When x = 0, 2y = 90, y = 45 (y-intercept)

When y = 0, 3x = 90, x = 30 (x-intercept)

Next, we can shade the region that satisfies all of the constraints. This region is below line A and to the left of line B, and is bounded by the x and y axes.

We can find the vertices of the feasible region by finding the intersection points of the two lines and the axes. These vertices are (0,0), (0,30), (15,15), and (30,0).

C. To find the maximum number of bags of trail mix that Oki and Stephen can make together, we need to evaluate the objective function at each vertex of the feasible region, and choose the vertex that maximizes the objective function.

The objective function is the total number of bags of trail mix:

z = x + y

Evaluating at the vertices:

Vertex (0,0): z = 0 + 0 = 0

Vertex (0,30): z = 0 + 30 = 30

Vertex (15,15): z = 15 + 15 = 30

Vertex (30,0): z = 30 + 0 = 30

The maximum value of the objective function occurs at vertices (0,30) and (15,15), where z = 30 bags of trail mix.

To determine how many of each type of recipe to make, we can substitute each vertex into the two constraint equations to find the corresponding values of x and y.

For vertex (0,30):

3x + 4y = 120 --> 3x + 4(30) = 120 --> 3x = -90 --> x = -30

3x + 2y = 90 --> 3(-30) + 2(30) = 90 --> y = 15

Therefore, Oki should make 0 bags of her recipe, and Stephen should make 30 bags of his recipe.

For vertex (15,15):

3x + 4y = 120 --> 3(15) + 4(15) = 120 --> x = 15

3x + 2y = 90 --> 3(15) + 2y = 90 -->

The amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

\(X \sim N(\mu, \sigma)\)

(X is following normal distribution with mean \(\mu\) and standard deviation \(\sigma\))

then it can be converted to standard normal distribution as

\(Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)\)

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

\(P(Z \leq z) = P(Z < z) )\)

Also, know that if we look for Z = z in z tables, the p-value we get is

\(P(Z \leq z) = \rm p \: value\)

Let we take:

X = The balance of a person’s bank account in Superior, WI

Then, by the given data, we have:

\(X \sim N(\mu = 580, \sigma = 125)\)

Let the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents be X = x dollars. This is the money, below which lie 80% of Superior, WI residents, and so as their income, or values of X.

Symbolically, we have:

\(P(X < x) = 80\% = 0.8\)

Converting X to standard normal variate Z, we have:

\(Z = \dfrac{X - \mu}{\sigma} = \dfrac{X - 580}{125}\\\)

Thus, the probability statement can be rewritten as:

\(P(X < x) =0.8\\P\left( Z < z = \dfrac{x -580}{125} \right) = 0.8\)

From the z-tables, the value of Z for which the p-value comes out as between 0.84 and 0.85, let it be their average 0.845.

Thus, we get:

\(P(Z < z = 0.845) \approx 0.8\)

Thus, we get:

\(z = \dfrac{x - 580}{125} \approx 0.8\\\\x \approx 0.8 \times 125 + 580 = 680\)

Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx.

Now, for second question, we need:

The probability a random person from Superior has less than $400 or more than $1000 in their bank account.

So, income of a random person from Superior is a random value of X.

So, this probability is written as:

\(P(400 < X < 1000)\)

Rewritting it, we get:

\(P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)\)

Converting X to Z (standard normal variate), we get:

\(P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)\\\\P(400 < X < 1000) = P\left(Z < \dfrac{1000-580}{125} \right) - P\left(Z \leq \dfrac{400-580}{125} \right)\\\\P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)\)

The p-value for Z = 3.36 is 0.9996

The p-value for Z = -1.44 is 0.0749

Thus, we get:

\(P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)\\\\P(400 < X < 1000) = 0.9996 - 0.0749 = 0.9247\)

Thus, the probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

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The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.

Question 17) is a figure of a rectangle and two inscribed circles.

The area of a rectangle is expressed as: A = length × width

The area of a circle is expressed as: A = πr²

Where r is the radius.

To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.

Area = ( Length × width ) - 2( πr² )

Area = ( 40 × 10 ) - 2( π × 5² )

Area = ( 400 ) - 2( 25π )

Area = 400- 50π

Area = 242.9 cm²

Area of the shaded region is 242.9 squared centimeters.

Question 18) is the a figure a sector of a circle and a right triangle.

The area of a sector is expressed as: A = (θ/360º) × πr²

The area of a triangle  is expressed as: A = 1/2 × base × height

To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.

Hence:

Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )

Plug in the values:

Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )

Area = 25π/4 - 12.5

Area = 7.1

Therefore, the area of the shaded region is 7.1 square units.

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Answer:

Step-by-step explanation:

I could be wrong but I believe the answer is: if two triangles ARE similar, their corresponding angles ARE congruent.

Answer:

About 12 prints in 11×14

Step-by-step explanation:

The area of the 4×8 print is 32 in².

60 × 32= 1960

Divide by the area of an 11×14, 154 in²

1960/154 ≈ 12.47

There is enough for a little more than 12, but not enough for 13 prints.

Answer:

x = 28°

Step-by-step explanation:

Angle sum property of triangle:

             Sum of all the three angles of the triangle is 180°.

   50 + 2x + 3x - 10 = 180°

    2x + 3x + 50 - 10 = 180°

Combine like terms,

                   5x + 40 = 180°

Subtract 40 from both sides,

                           5x = 180 - 40

                           5x = 140°

Divide both sides by 5,

                             x = 140 ÷ 5

                            \(\sf \boxed{\bf x = 28^\circ}\)

can you provide a screenshot?

Answer:

The first account, she invested = $4200 and in the second = $4800

Step-by-step explanation:

Let us assume that Genevieve invests $x at 6% ,

Hence, she invests ($9000 - $x ) at 4% ,

It's given that the combined interest from both of the above accounts is $444,

So,

0.06x + 0.04 (9000 - x) = 444

=> 0.06x + 360 - 0.04x = 444

=> (0.06x - 0.04x) + 360 = 444

=> 0.02x = 444 - 360

=> 0.02x = 84

=> x = 84/0.02

=> x = 8400/2 (By multiplying the denominator and numerator)

=> x = 4200

Therefore, 9000 - x = 9000 - 4200 = 4800

$4200 at 6% and $4800 at 4%

Therefore, the first account, she invested = $4200 and in the second = $4800

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The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

In a geometric sequence,

The third term is 100 and the eighth term is 3.125.

Now,

We know that;

The nth term of geometric sequence is,

⇒ \(T_{n} = a r^{n - 1}\)

Hence, The third term is;

⇒ \(T_{3} = a r^{3 - 1} = 100\)

⇒ \(a r^{2} = 100\)   ..(i)

And, The eighth term is,

⇒ \(T_{8} = a r^{8 - 1} = 3.125\)

⇒ \(a r^{7} = 3.125\)   ..(ii)

Divide equation (ii) by (i), we get;

⇒ ar⁷ / ar² = 3.125/100

⇒ r⁷ / r² = 3125 / 100000

⇒ r⁷⁻² = 3125 / 100000

⇒ r⁵ = 3125 / 100000

⇒ r = 5/10

Thus, The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

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Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation: look at the graph dude

The solution of the given quadratic equation -5 = -36 / m + m is,

 m = - 9 or  m = 4

The given equation is

-5 = -36 / m + m

After re arranging it we get,

m² + 5m - 36 = 0

This is nothing but quadratic equation,

Since we know that,

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

So now we can write,

⇒ m² + 9m - 4m - 36 = 0

⇒ m(m + 9) - 4(m + 9) = 0

⇒ (m + 9)(m - 4) = 0

Therefore,

⇒ (m + 9) = 0 or (m - 4) = 0

⇒ m = - 9 or  m = 4

Thus,

The solution of the given expression is

m = - 9 or  m = 4

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Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

Answer:

im study about history it was my favourite subject!

Answer:

31.6

Step-by-step explanation:

l^2+w^2=d

30^2+10^2=1,000

square root of 1000 is 31.6

The exclamation mark at the end of any number indicates a factorial. You may be able to find this button in your calculator, though where it is varies.

A factorial is the product of the integer and all of the integers below it (greater than 0).

So, 9 factorial = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

6 factorial = 6 x 5 x 4 x 3 x 2 x 1

We can immediately eliminate the numbers that are the same on the top and bottom, since this is a fraction. That leaves us with the following multiplication problem to solve.

9 x 8 x 7 = 504

Hope this helps!

Answer:

subtraction... we need the rest of the question.

Step-by-step explanation:

:/

Answer:

9 months

Explanation:

3 times 3 is nine

If one quarter is 3 months. 3 of these quarters would have 9 months all together.

The solution to the inequality is x >= -2 for inequality 3x-5≥-11

The given inequality is 3x-5≥-11

Three times of x greater than or equal to minus eleven

x is the variable

3x - 5≥ -11:

Adding 5 to both sides, we get:

3x ≥ -6

Dividing both sides by 3, we get:

solution is  x≥-2

Therefore, the solution to the inequality is x >= -2.

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The probability that a mouse leaves first and then a bat is given as follows:

14/55.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

As the animal is not replaced, the probabilities for this problem are given as follows:

Hence the probability is given as follows:

4/11 x 7/10 = 2/11 x 7/5 = 14/55.

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The line which is on the same plane can be parallel, two lines are never parallel when they are in different planes, so option C is correct.

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

The given planes are A and B,

A new line, p, is drawn parallel to line l,

Line l in the diagram is located on plane A. Line p must be drawn on plane A in order to be parallel to line l. As a result, line p, which is located on plane B, will be perpendicular to line n and parallel to lines l and n.

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The image of the remaining question is attached below.

0.008

1/5 x 1/5 x 1/5

The length of side KL is approximately 4.8 cm.

To solve this problem, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all sides of the triangle. In other words:

a/sin(A) = b/sin(B) = c/sin(C)

Where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the measures of the angles opposite those sides.

Using the Law of Sines, we can set up the following proportion:

l/sin(L) = m/sin(M)

Where l is the length of side KL, L is the measure of angle KLM (which is 72 degrees), m is the length of side LM, and M is the measure of angle KML (which we can find by subtracting L from 180 degrees).

M = 180 - L

= 180 - 72

= 108 degrees

Now we can substitute the given values into the proportion and solve for l:

l/sin(72) = 5.9/sin(108)

l = sin(72) * (5.9/sin(108))

≈ 4.8 cm (rounded to the nearest 10th of a centimeter)

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Answer:

Step-by-step explanation:

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Suppose F represents the value that a room is unlocked.

Then, we can assume that the probability of unlocked homes is:

P(unlocked homes) = P(U)

P(unlocked homes) = 40%

P(unlocked homes) = 0.40

Also, let us represent the value of the locked room with G.

P(locked homes) = P(G)

P(locked homes) = (1 - 0.40)

P(locked homes) = 0.60

Let the probability of selecting a correct key be P(S)

It implies that for the agent to use 3 keys, we have a combination of \(^8C_3\) possible ways for the set of keys.

Now; since only one will open the house, then:

P(select correct key) = P(S)

\(P(S) = \dfrac{ (^1_1) (^7_2) }{ ^8_3 }\)

\(P(S) = \dfrac{21}{56}\)

P(S) = 0.375

Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:

P(F ∪ (G∩S) = P(F) + P(G∩S)

P(F ∪ (G∩S) = P(F) + P(G) × P(S)

P(F ∪ (G∩S) = 0.40 + (0.60×0.375)

P(F ∪ (G∩S) = 0.40 + 0.225

P(F ∪ (G∩S) =0.625

Answer:

\(y =-\frac{1}{2}x + 8\)

Step-by-step explanation:

Given

Perpendicular to \(y = 2x + 1\)

Pass through \((4,6)\)

Required

Determine the line equation

First, we need to determine the slope of \(y = 2x + 1\)

An equation is of the form:

\(y = mx + b\)

Where

\(m = slope\)

In this case:

\(m =2\)

Next, we determine the slope of the second line.

Since both lines are perpendicular, the second line has a slope of:

\(m_1 = \frac{-1}{m}\)

\(m_1 = \frac{-1}{2}\)

\(m_1 = -\frac{1}{2}\)

Since this line passes through (4,6); The equation is calculated as thus:

\(y - y_1 = m_1(x - x_1)\)

Where

\((x_1,y_1) = (4,6)\)

This gives:

\(y - 6=-\frac{1}{2}(x - 4)\)

Open bracket

\(y - 6=-\frac{1}{2}x + 2\)

Add 6 to both sides

\(y +6- 6=-\frac{1}{2}x + 2+6\)

\(y =-\frac{1}{2}x + 8\)