One year, the population of a city was 209,000. Several years later it was 244,530. Find the percent increase

Step-by-step explanation:

Roots : x = -1 and x = 4

Roots x = -1 & x = -4

Neither

Answer:

\(\mathrm{A. \:756\:in^3}\)

Step-by-step explanation:

The volume of a rectangular prism can be represented by \(l\cdot w\cdot h\). The dimensions of this prism are 6x9x14.

Therefore the volume of this prism is:

\(6\cdot 9\cdot 14=\fbox{$\mathrm{A. \:756\:in^3}$}\).

The correct statement is: "E and F are independent if after selecting the first ball we do not place it back in the urn (without replacement)."

An event is independent if the occurrence of one event does not affect the probability of the other event.

In this case:

E and F are not always independent, because the occurrence of E (the first ball is blue) does affect the probability of F (the second ball is blue).

E and F are independent if after selecting the first ball we do not place it back in the urn (without replacement). In this case, the probability of F remains constant, regardless of the occurrence of E.

E and F are not independent if after selecting the first ball we place it back in the urn (with replacement). In this case, the occurrence of E affects the number of blue balls in the urn, and hence affects the probability of F.

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Answer:

"B. 30" Is the correct answer.

Step-by-step explanation:

Just took the quiz, have a wonderful day.

Answer:

Step-by-step explanation:

25%

80%

60%

100%

25%

Answer:

The right answer is A

Step-by-step explanation:

The value of the exponential equation is y = 3ˣ and the graph is plotted

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

y = 3ˣ   be equation (1)

Now , the y intercept of the equation is when x = 0

So , when x = 0

y = 3⁰

y = 1

Now , when y₁ = 3^1.2

The value of y₁ = 3.7

Therefore , the y intercept of the equation is 1 and the graph is plotted

Hence , the exponential equation is y = 3ˣ

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Step-by-step explanation:

Hi,

Think about it this way.

20%

40%

60%

80%

100%

We had to add 20% 5 times in order to get 100%.

The same goes for the fraction.

1/5

2/5

3/5

4/5

5/5

We had to add 1/5 5 times to get it to 5/5.

So...

20% is the same thing as... 20/100 and simplified, it's the exact same thing as 1/5.

They're basically the same exact thing except they're written in different ways.

I hope this helps, I didn't really understand what you needed exactly, but if you need anything else, feel free to let me know :)

Have a wonderful day.

Answer:

$750 dollars

Step-by-step explanation:

Y = 3.009(275) - 77.131

Y = 827.475-77.131

Y = 750.344

The set builder notation of the solution inequality represented on the number line is; {x: 3< x <=5}.

It follows from the task content that at point positive 3, there's an open circle which signifies that the number 3 is less than the solution.

And since the number line is shaded from positive 3 to 5, it follows that the maximum value in the solution set is 5.

The representation is therefore; {x: 3< x <=5}.

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On the number line, the solution inequality is represented by the notation x: 3=5, which is the set builder notation of the inequality.

This is further explained below.

Given the information provided in the job, it is logical to conclude that at point positive 3, there will be an open circle. This will indicate that the number 3 will be lower than the answer.

And since the shading on the number line goes from positive 3 to 5, it follows that the highest value that can be found in the set of solutions is 5.

As a result, the representation is written as:

"x: 3 x = 5."

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Answer:

$245

Step-by-step explanation:

Savings percent= $350 × 30%

=$350 × 30/100

= $105

Money saved= $350- $105

= $ 245

a) The function is increasing on the following interval: (3, ∞).

b) The function is not decreasing on any interval of it's domain.

c) The function is not constant on any interval of it's domain.

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If the ratio of their corresponding sides are identical, then the triangles are similar to each other. Triangle ABC, GHI and JKL have similar ratio of their corresponding sides. Thus, Triangle ABC,JKL and GHI are similar to each other.

It is not necesary that sides are equal in similar triangles but it is mandatory to have all the angles are identical in similar triangles.

If the length of corresponding sides of the triangle are in the same proportion then the triangles are similar to each other.

Therefore,

Sides of the triangle ABC and triangle GHI are in proportion, hence both the triangles are similar to each other.

Sides of the triangle ABC and triangle JKL are in proportion, hence both are similar to each other.

Similarly, triangle JKL and GHI both are similar to each other.

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Answer:

if f(x)=2x+1 then insert 6 in x

f(6)=2*6+1

f(6)=13

so the answer is 13

Answer: a. Hypothesis test is two tailed as \(H_a\) is two tailed.

b.  p-value =p-value

c.  We failed to reject \(H_0\).

Step-by-step explanation:

Given : Test statistic : z = 2.27

Claim: p ≠ 0.826 i.e. Alternative hypothesis : \(H_a:p\neq0.826\) [ alternative hypothesis takes ≠]

a. Hypothesis test is two tailed as \(H_a\) is two tailed.

b. The two-tailed p-value for z=2.27 is 0.0232. [By p-value table]

c. Using a significance level of α=0.01,

p value > α

so we failed to reject \(H_0\). [When p-value >  α we cannot reject null hypothesis.]

Answer:

C x= 85°

Step-by-step explanation:

x+ 60° + 35° =180°

x= 180° - 60° - 35°

x= 85°

Histogram representing point estimator w labelled fourth bar as a population parameter is a true statement.

As given in the question,

The given graph represents the sampling distributions of two different point estimators,

Two point estimators are r and w represents same population parameters.

Two histogram each one with 7 bars:

Left histogram represents point estimator r and right histogram represents point estimator w.

Increase of the heights of the bars in both r and w histogram left to right.

Peak point is at fourth bar.

In point estimator r histogram : Third bar represents population parameter.

In point estimator w histogram : Fourth bar represents population parameter.

Here fourth bar represents the peak point.

Therefore, point estimator w histogram represents the population parameter is a true statement.

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[3 6 3]

( 3 3. 3]

THIS ANSWER IS CORRECT

Solution:

\(\sf \left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right]\)

\(\sf \left[\begin{array}{ccc}3&6&3\\-3&3&3\\\end{array}\right]\)

The rule for a reflection over the x -axis is (x,y) → (x,−y)

===============================================================

or multiply the matrix with:      \(\left[\begin{array}{ccc}1&0\\0&-1\end{array}\right]\)

\(\dashrightarrow \ \sf \begin{pmatrix}1\cdot \:3+0\cdot \left(-3\right)&1\cdot \:6+0\cdot \:3&1\cdot \:3+0\cdot \:3\\ 0\cdot \:3+\left(-1\right)\left(-3\right)&0\cdot \:6+\left(-1\right)\cdot \:3&0\cdot \:3+\left(-1\right)\cdot \:3\end{pmatrix}\)

\(\sf \left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right]\)

Answer:

x=40

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(DIFFERENCE of Intercepted Arcs)

x = 1/2(120-40)

x = 1/2(80)

x = 40

Answer:

x = 40°

Step-by-step explanation:

Circle Theorem vocabulary

Intersecting Secants Theorem

If two secant segments are drawn to the circle from one exterior point, the measure of the angle formed by the two lines is half of the (positive) difference of the measures of the intercepted arcs.

\(\implies m\angle x=\dfrac{1}{2}(120^{\circ}-40^{\circ})\)

\(\implies m\angle x=\dfrac{1}{2}(80^{\circ})\)

\(\implies m\angle x=40^{\circ}\)

The probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes is only 0.02%.

P(X <= 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = k) = (100 choose k) * 0.078^k * (1 - 0.078)^(100-k)

P(X <= 4) = (100 choose 0) * 0.078^0 * (1 - 0.078)^(100-0) + (100 choose 1) * 0.078^1 * (1 - 0.078)^(100-1) + (100 choose 2) * 0.078^2 * (1 - 0.078)^(100-2) + (100 choose 3) * 0.078^3 * (1 - 0.078)^(100-3) + (100 choose 4) * 0.078^4 * (1 - 0.078)^(100-4)

Using a calculator or software, we can find that:

P(X <= 4) = 0.000203

This means that the probability is 0.02%.

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Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high?

Answer:

7.28

Step-by-step explanation:

Answer: 7.28

Step-by-step explanation:

Based on the data given, the length of line segment AC is 2.29

Based on the given data:

The triangle ABC is an isosceles triangle.

The line segment AC is the hypotenuse of the the triangle ACD.

The length of AD = 3/2

\(AC = \sqrt{(\sqrt{3)^{2}} + (\frac{3}{2})^{2}}= 2.29\)

In conclusion, the length of  AC is 2.29

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Answer:

Keisha has 22 dollars, Justin has 48 dollars, and Frank has 16 dollars

The point of intersection of the line \(y = x + 1\) and the circle with radius 4 and center \((0,1)\) is \((x, y) = (-1, 0)\) which is in the first quadrant.

The equation of a circle with center (h, k) and radius r is:

\((x - h)^2 + (y - k)^2 = r^2.\)

The equation of the line is given as \(y = x + 1\).

Given the center of the circle is (0,1) and the radius is 4, the equation of the circle is \((x-0)^2 + (y-1)^2 = 4^2\)

This can be simplified as \(x^2 + y^2 - 2y + 1 = 0\)

Now we can substitute \(y = x + 1\) in the circle equation:

\(x^2 + (x+1)^2 - 2(x+1) + 1 = 0\\x^2 + x^2 + 2x + 1 + 2x + 1 = 0\\2x^2 + 4x = -2\\x^2 + 2x = -1\\(x+1)^2 = 0\\x = -1\)

Now that we have the value of x, we can substitute it in the equation \(y = x + 1\)  to find the corresponding y value:

\(y = -1 + 1\\y = 0\)

So, the point of intersection of the line \(y = x + 1\) and the circle with radius 4 and center (0,1) is \((x, y) = (-1, 0)\) which is in the first quadrant.

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The thief's total haul from both France and England is $7865000 which is equal to exchange rate of dollar and euro.

An exchange rate is the relative price of one currency expressed in relation to another currency (or group of currencies). For an economy like Australia that is actively involved in international trade, the exchange rate is an important economic variable. 

According to the information given in the question:

Amount stolen from France = 2.5 million Euro (€)

Amount stolen from France( in dollars) = 2500000 x 1.13

                                                                = $28,25,000

Similarly, stolen amount in England( in dollars) = 4000000 x 1.26

                                                           = $5040000

∴Total amount stolen(in dollars) = $28,25,000 + $5040000

                                                      =$7865000

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Answer:

you didint explainded well

Step-by-step explanation:

Area and circumference of the circle are 78.5 m² and 31.4 m respectively.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that, a circle have a radius 5 m

Area of a circle = π × radius²

Circumference = 2π×radius

Area = 3.14 × 5² = 3.14 × 25 = 78.5 m²

Circumference = 3,14 × 2 × 5 = 31.4 m

Hence, area and circumference of the circle are 78.5 m² and 31.4 m respectively.

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Cumulative costs of the investments of a mutual fund you currently hold are the amount invested. Net Investment is one investment action's net amount of inflow.

Solution:

The formula for calculating the simple interest:  

\(\to \text{Simple interest} = principal \times rate \times time\)

Total amount = 10000

Let :

From both investments total earned interest  = $620

\(\to \bold{PP \ investment \ return + TT \ investment\ return = 620}\)

\(\to (r \times 10\% \times 1) + (10000 - r \times 5\% \times 1) = 620\\\\\to (r \times \frac{10}{100} \times 1) + (10000 - r \times \frac{5}{100} \times 1) = 620\\\\\to (r \times 0.10 \times 1) + (10000 - r \times 0.05 \times 1) = 620\\\\\to 0.1r + 500 - 0.05r = 620\\\\\to 0.05r = 620 - 500\\\\\to 0.05r = 120\\\\\to r =\frac{ 120}{0.05}\\\\\to r = 2400\)

Therefore,

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