. Compare the value of the 4's in this number
64,432
Write your statement

Answer:

mean of this demand distribution = 100

Step-by-step explanation:

To find the mean of this demand distribution;

Mean = Expected vale = E[x]

for discrete provability function,

we say E[x] = ∑(x.p(x))

x     p(x)     x.p(x)

10     0.1     1

30    0.4    12

60    0.4    24

90    0.7    63

∴ ∑(x.p(x)) = ( 1 + 12 + 24 + 63 )

∑(x.p(x)) = 100

Answer:

 x =  5   and y = 3     solution is (5, 3)

Step-by-step explanation:

y = x - 2              multiply each term by 2

y = -2x + 13        Do not change

2y = 2x - 4

y = -2x + 13

3y =       9

  y = 9/3

  y = 3

y = x - 2      Substitute y = 3 and solve for x

3 = x - 2

5 = x

A mean is an arithmetic average of a set of observations. The average time taken by Shiho to complete the track is 3.7 seconds.

A mean is an arithmetic average of a set of observations. it is given by the formula,

\(\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}\)

The reading of the 5 trials of Shiho is 3.3 seconds, 3.8 seconds, 4.1 seconds, 4.1 seconds, and 3.1 seconds. Therefore, the average or the meantime of Shiho can be written as,

\(\rm \text{Average Time} = \dfrac{\text{Sum of all observations}}{\text{Number of trials}}\\\\\text{Avrage Time} = \dfrac{3.3+3.8+4.1+4.1+3.1}{5}=\dfrac{18.4}{5}= 3.68\approx 3.7\ seconds\)

Hence, the average time taken by Shiho to complete the track is 3.7 seconds.

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Answer:

If the original recipe requires 2/3 cup of flour and 3 ¾ teaspoons of salt, we can determine the amount of salt needed for one cup of flour using a proportion.

2/3 cup flour : 3 ¾ teaspoons salt

1 cup flour : x teaspoons salt

We can cross-multiply to get:

(2/3) * x = (3 ¾) * 1

2x/3 = 15/4

Multiplying both sides by 3/2:

x = (9/2) teaspoons of salt

Therefore, Lexi needs 9/2 or 4.5 teaspoons of salt when making corn bread with 1 cup of flour to maintain the ratio.

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:

Y+1=-1/2(x-4) the very bottom choice trust me its in point slope form and since the 1 is negative it turns into a positive for the equation and adds to the Y

Step-by-step explanation:

Answer:

BD = 6

Step-by-step explanation:

Theorem:  The altitude to the hypotenuse of a right triangle is the mean proportional between the segments of the hypotenuse.

So, \(\frac{4}{BD} = \frac{BD}{9}\)

\(BD^{2} = 36\)

BD = 6

See how easy that is IF you know the theorem.

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

The temperature at an altitude of 11,000 ft is found to be 47.6 Degree Fahrenheit.

The plane is at ground level, with a temperature of 59.7 degrees Fahrenheit. The temperature drops by 1.1 degrees Fahrenheit for every 1,000 feet.

Initial Temp = 59.7 Fahrenheit

Distance Covered = 11,000 Ft

As the plane stands there, the ground level is zero feet.

Later, it soars into the sky at 11,000 feet.

= 11×1,000

Temperature drops by 1.1 degrees Fahrenheit for every 1,000.

As a result, at 11,000 feet, the temperature will drop 11 times,

= 11×1.1

or 12.1 degrees.

Therefore, at 11,000 feet, the temperature will be Fahrenheit,

= 59.7 - 12.1

= 47.6 degree Fahrenheit

Thus, the temperature at an altitude of 11,000 ft is computed as 47.6 degree Fahrenheit.

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The area of the interior above the polar axis is -0.858 square units

The area bounded by a polar curve between θ = θ₁ and θ = θ₂ is given by

\(A = \int\limits^{\theta_{2} }_{\theta_{1} } {\frac{1}{2}r^{2} } \, d\theta\)

Now, since we have the curve r = 1 - sinθ and we want to find the area of the interior above the polar axis, we integrate from θ = 0 to θ = π, since this is the region above the polar axis.

So, \(A = \int\limits^{\theta_{2} }_{\theta_{1} } {\frac{1}{2}r^{2} } \, d\theta\\= \int\limits^{\pi}_{0} {\frac{1}{2}(1 - sin\theta)^{2} } \, d\theta\\= \int\limits^{\pi}_{0} {\frac{1}{2}[1 - 2sin\theta + (sin\theta)^{2}] } \, d\theta\\= \int\limits^{\pi}_{0} {\frac{1}{2}\, d\theta - \int\limits^{\pi}_{0} 2sin\theta \, d\theta+ \int\limits^{\pi}_{0} (sin\theta)^{2} } \, d\theta\\\)

\(A = \int\limits^{\pi}_{0} {\frac{1}{2}\, d\theta - 2\int\limits^{\pi}_{0} sin\theta \, d\theta+ \int\limits^{\pi}_{0} \frac{(1 - cos2\theta)}{2} } \, d\theta\\= \int\limits^{\pi}_{0} {\frac{1}{2}\, d\theta - 2\int\limits^{\pi}_{0} sin\theta \, d\theta+ \int\limits^{\pi}_{0} \frac{1}{2} } \, d\theta -\int\limits^{\pi}_{0} \frac{cos2\theta}{2} } \, d\theta\\\)

\(A = \int\limits^{\pi}_{0} \, d\theta - 2\int\limits^{\pi}_{0} sin\theta \, d\theta -\int\limits^{\pi}_{0} \frac{cos2\theta}{2} } \, d\theta\\= [\theta]_{0}^{\pi} - 2[-cos\theta]^{\pi} _{0} - [\frac{sin2\theta}{4}]_{0}^{\pi} \\= [\theta]_{0}^{\pi} + 2[cos\theta]^{\pi} _{0} - [\frac{sin2\theta}{4}]_{0}^{\pi}\\= [\pi - 0] + 2[cos\pi - cos0] - \frac{ [sin2\pi - sin0]}{4}\\= \pi + 2[-1 - 1] - \frac{ [0 - 0]}{4}\\= \pi + 2[-2] - \frac{ [0]}{4}\\= \pi - 4 - 0\\= \pi - 4\\= 3.142 - 4\\= -0.858\)

So, the area of the interior above the polar axis is -0.858 square units

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Answer:

\(3 + 4 = 7\)

PLEASE FOLLOW ME

Answer:

The answer is 7

Velocity is not constant over time and can be influenced by a variety of factors. Changes in velocity can have implications for the relationship between changes in the money supply and the price level, highlighting the complexity of monetary dynamics in an economy.

According to the quantity equation (MV = PQ), changes in the money supply (M) will lead directly to changes in the price level (P) if velocity (V) and real GDP (Q) remain constant. However, velocity is not necessarily constant over time and can be influenced by various factors.

Velocity represents the rate at which money circulates in the economy, indicating how quickly money is used to facilitate transactions. It is influenced by factors such as changes in consumer and business behavior, technological advancements, financial innovation, and shifts in confidence and trust in the economy.

Changes in velocity can occur due to several reasons. For example:

Changes in Transaction Patterns: Shifts in consumer preferences or business practices can alter the frequency and speed of transactions, affecting how money circulates and influencing velocity.

Financial Innovation: Advancements in payment systems, such as the rise of electronic transactions, online banking, or mobile payments, can potentially impact the velocity of money by facilitating faster and more efficient transactions.

Confidence and Economic Stability: Changes in economic conditions, inflation expectations, or financial stability can influence people's willingness to hold money, affecting velocity.

Monetary and Fiscal Policies: Changes in monetary policy, such as interest rate adjustments or changes in the money supply, can indirectly affect velocity by influencing borrowing and spending behavior.

While changes in velocity can occur independently of changes in the money supply, they can also be related. For instance, if the money supply increases without a corresponding increase in the demand for money (velocity decreases), it can put upward pressure on prices. On the other hand, if velocity increases due to changes in transaction patterns or increased economic activity, it can offset the impact of changes in the money supply on prices.

Overall, velocity is not constant over time and can be influenced by a variety of factors. Changes in velocity can have implications for the relationship between changes in the money supply and the price level, highlighting the complexity of monetary dynamics in an economy.

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The solution to the algebraic problem is \(x^{2}\)

What is an Algebraic Equation?

An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.

Solution:

(\(x^{3}\) – 1) = (x+2)

On dividing (\(x^{3} - 1\)) by (x+2)

The first term of the quotient will be x^2 by following the Long Division Method of Algebraic Division.

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Answer:

24.204 < 24.240

Think:

24.204 = 24,204

24.240 = 24,240

Which is greater?

24,240 is.

⇒ Hope this helps!

Answer:

10

Step-by-step explanation:

362/6 = 60R2

461/6 = 76R5

2761/6 = 460R1

2x5x1 = 10

Answer:

a. {-2, 0, 2, 4}

Step-by-step explanation:

The set of values of the Domain of any graph are the set of x-values (input) that are plotted on the x-axis against the y-values.

In the graph given, the set of x-values that represents the Domain is: {-2, 0, 2, 4}. These cam be referred as the input value as well.

Answer:

Its better to invest at 2.45% interest rate compounded daily.Step-by-step explanation:

We are given

Principal Amount = $350,000

Time t = 3 years

We need to determine which investment will yield greater return

a) 2.5% compounded monthly

b) 2.45% compounded daily

The formula used will be: \(A=P(1+\frac{r}{n})^{nt}\)

a) 2.5% compounded monthly

We have P=$350,000 t= 3 years,  r = 2.5 or 0.025 and n= 12

Putting values and finding A

\(A=P(1+\frac{r}{n})^{nt}\\A=350000(1+\frac{0.025}{12})^{12*3}\\A=350000(1.0021)^{36}\\A=350000(1.079)\\A=377650\)

So, the return of investment in 3 years would be $377650 if interest rate is 2.5% compounded monthly.

a) 2.45% compounded daily

We have P=$350,000 t= 3 years,  r = 2.5 or 0.025 and n= 365

Putting values and finding A

\(A=P(1+\frac{r}{n})^{nt}\\A=350000(1+\frac{0.0245}{365})^{365*3}\\A=350000(1.000067)^{1095}\\A=350000(2.0821)\\A=728735\)

So, the return of investment in 3 years would be $728735 if interest rate is 2.45% compounded daily.

So, if we invest 2.45% interest rate that is compounded daily we will make $728735 while if we invest 2.5% interest rate that is compounded monthly we will make $377650

So, its better to invest at 2.45% interest rate compounded daily.

23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.

No. of players = 29

No. of coaches = 4

Total fabric used for headbands = 773.85 inches

Total no. of people for headbands = 29 + 4

                                                          = 33

Fabric used for headband for 1 person = 773.85/33

                                                                 = 23.45 inches

Total fabric used for wristbands = 279.56 inches

Total no. of people for wristbands = 29

Fabric used for headband for 1 person = 279.56/29

                                                                 = 9.64 inches

Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.

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Answer:

(x-3) (x-4)/(x-4)

x(x-4)-3 (x-4)/(x-4)

this is the answer!

if you have any problem tell me I will help you

Answer:

the answer is on the picture

Answer:

c

Step-by-step explanation:

\( \sqrt{ \frac{1}{ {x}^{2} } } \times \sqrt{ \frac{ {x}^{2} }{81} } = \frac{1}{x} \times \frac{x}{9 } = \frac{1}{9} \)

The value of the expression [√(1 / x²)] · [√(x² / 81)] will be 1/9. Then the correct option is C.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below,

⇒ [√(1 / x²)] · [√(x² / 81)]

Simplify the equation, then we have

⇒ [√(1 / x²)] · [√(x² / 81)]

⇒ [1/x] · [x/9]

⇒ 1/9

The value of the expression [√(1 / x²)] · [√(x² / 81)] will be 1/9. Then the correct option is C.

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Answer:

n = 6

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

-15 + n = -9

Step 2: Solve for n

Step 3: Check

Plug in n to verify it's a solution.

Answer: 4000

Step-by-step explanation:

The initial temperature of the soda is 22 degrees Celsius, and its temperature after 20 minutes is approximately 10 degrees Celsius.

To find the initial temperature of the soda, we need to evaluate the temperature function T(x) at x = 0.

T(x) = -5 + 27e^(-0.03x)

T(0) = -5 + 27e^(-0.03(0))

T(0) = -5 + 27e^0

Since any number raised to the power of 0 is 1, we have:

T(0) = -5 + 27(1)

T(0) = -5 + 27

T(0) = 22

Therefore, the initial temperature of the soda is 22 degrees Celsius.

To find the temperature of the soda after 20 minutes, we evaluate the temperature function at x = 20.

T(x) = -5 + 27e^(-0.03x)

T(20) = -5 + 27e^(-0.03(20))

T(20) = -5 + 27e^(-0.6)

Using a calculator, we can compute e^(-0.6) ≈ 0.5488.

T(20) = -5 + 27(0.5488)

T(20) = -5 + 14.8152

T(20) ≈ 9.8152

Therefore, the temperature of the soda after 20 minutes is approximately 10 degrees Celsius (rounded to the nearest degree).

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Using the expression 2/7 × 28 it is obtained that Professor Elena has 8 pencils left after distributing 5/7 of the pencils to her students.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The total number of pencils Professor Elena bought is  28 pencils.

If Professor Elena bought 28 pencils, and she distributed 5/7 of them to her students.

The fractional expression will be -

1 - 5/7

Simplifying the expression we get -

(7 - 7) / 2

2/7

Then she kept 2/7 of the pencils for herself.

The number of pencils she has with her will be -

2/7 × 28 = 8 pencils

Therefore, Professor Elena has 8 pencils left after distributing 5/7 of the pencils to her students.

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Professor Elena bought 28 pencils and distributed 5/7 of the pencils to her students. How many pencils did teacher Elena have left?​

The z-score of -1.6 is less than 2.00 but greater than -2.00.

Hence, we can conclude that the value is not unusual.

The correct answer is: -1.6; not unusual.

When we are given a test score of 48.4 on a test that has a mean of 66 and a standard deviation of 11,

we need to find the corresponding z-score and determine whether the value is unusual or not.

The formula for calculating z-score is:

z = (x - μ) / σ

Where, z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

Substituting the given values in the formula, we get: z = (48.4 - 66) / 11z = -1.6

Therefore, the z-score corresponding to the given value is -1.6.

Now, we need to determine whether this value is unusual or not.

A score is considered unusual if its z-score is less than -2.00 or greater than 2.00.

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A third variable associated with two variables under study that results in a correlation between the two variables, falsely implying a causal relationship between the pair, is a) a lurking variable.

A lurking variable is an uncontrolled and unknown variable but significant effect on both independent and dependent variables.

A lurking variable creates a correlation between the independent and dependent variables without being intended by the researcher.

We can differentiate a lurking variable from a confounding variable.

A confounding variable is taken into account in research and can also influence the variables of interest but it is not credited with any relationship between the independent and dependent (response) variables.

Thus, the existence of a third variable resulting in a correlation between the independent and dependent variables is called a lurking variable.

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9514 1404 393

Answer:

  use the rules of exponents

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

Applying these to the left-side expression, we can simplify it so it looks like the right side expression.

  \(\dfrac{(12x^5)(2x^7)}{(2x^2)^3}=\dfrac{12\cdot2x^{5+7}}{2^3x^{2\cdot3}}=\dfrac{24x^{12}}{8x^6}\\\\=3x^{12-6}=\boxed{3x^6}\)