An article reported the following frequencies with which ethnic characters appeared in recorded commercials that aired on Philadelphia television stations. Ethnicity: African, American, Asian, Caucasian, Hispanic Frequency: 69, 11, 330, 8, In a recent census, the proportions for these four ethnic groups are 0.177.0.020, 0.734, and 0.069, respectively. Does the data suggest that the proportions in commercials are different from the census proportions? Carry out a test of appropriate hypotheses using a significance level of 0.01. (Let P, PPs, and be the population proportions of the four ethnic groups (African American, Asian, Caucasian, and Hispanic respectively) appearing in commercials on Philadelphia television stations.) State the appropriate hypotheses. o H0: P1 = 0.165, P2 = 0.026, P3 = 0.789, P4 = 0.019 Ha: at least one P1 ≠ P10o H0: P1 = 0.069, P2 = 0.011, P3 = 0.330, P4 = 0. 008Ha: at least one P1 ≠ P10o H0: P1 = 0. 177, P2 = 0.020, P3 = 0.734, P4 = 0.069Ha: at least one P1 ≠ P10o H0: P1 = P2 = P3 = P4 = 0.250Ha at least one p1 ≠ 0.25 Calculate the test statistic (Round your answer to two decimal places.)x^2 = ______

By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Given: Line segment AC and line segment BD intersect at O.

Prove: ∠AOB ≅ ∠COD

By the supplementary angles property, the equations are given as,

∠AOB + ∠BOC = 180°            .....1

∠BOC + ∠COD = 180°            ....2

By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.

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Answer: By the congruent complements theorem

Step-by-step explanation: I took the test

1. <C= 90 degree

AC =  13.25 unit

<B= 60 degree

2.  <C= 90 degree

AC =  13.

<B= 60 degree

1. Using Sine law

sin C/4 = sin 30/2 = sin B/ AC

so, sin C/4 = 1/4

sin C = 1

C= 90 degree

and, <B= 180 - 30- 90= 60 degree

So, sin 30/2 = sin 60/ AC

1/4 AC = √3/2

AC = 2√3

2. Using Sine law

sin 30/ 7.65 = sin B / 15.3

1/15.3 = sin B/15.3

sin B= 1

B = 90 degree

and, <C= 180 - 90 - 30 = 60

So, 1/15.3 = sin 60/ C

C = 13.25

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Answer:

7.6

Step-by-step explanation:

Divide 38 by 5 to get your answer

Answer:

C

Step-by-step explanation:

subtract and then divide

Answer:

a²+b² –2ab –25

=(a – b)² –5²

=p² – q² = (p – q) (p + q)

=(a – b – 5) (a – b + 5)

=(a – b)² –25

The answer is

=(a – b)² –25

Step-by-step explanation:

#Carry on learning

Answer:

Simplify = 7x/6 - 3/28

Reciprocal = 6x/7 - 28/3

Step-by-step explanation:

Add x to the top of the first fraction to combine them.

To find the reciprocal you flip the numbers. So the numerator is the bottom and the dominator is the top.

Answer:

3/45-8=12

Step-by-step explanation:

Answer:

It's more accurate because

Step-by-step explanation:

Expressing in the simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.

The value of the resistor needed in this scenario is approximately 1.2 ohms.

To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.

Using Ohm's Law, we have the formula:

V = I * R

Where:

V is the voltage across the resistor (12 volts in this case),

I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),

R is the resistance of the resistor (which we need to find).

Rearranging the formula, we have:

R = V / I

Plugging in the values:

R = 12 volts / 10 amps

R = 1.2 ohms

Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.

It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.

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Answer:

d² - 24d + c = (d - 12)² - 144 + c

The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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Answer:

B. $4,000.

Step-by-step explanation:

Answer:

y = (x + 1 ) ^2

Step-by-step explanation:

y = x^2 + 2x + 1

Completing the Square

y = ( x + 1 ) ^2 + 0

What is fractional equivalent?

Equivalent fractions are fractions with distinct numerators and denominators but the same value.

1. The number represented by n has two repeating digits, 15.

2. To convert the repeating decimal to a fraction, we need to identify the place value of the repeating digits. In this case, the repeating digits start immediately after the decimal point, so we need to multiply by a power of 10 that is equal to the number of repeating digits, which is 2.

3. Power of 10 times n = 10^2 x 0.1515... = 15.15...

        \(0.1515... x 10^2 = 15.15...\\\\\)

4.

       \(10^2n = 15.15...\\\\n = 0.1515...\\\\99n = 15\)

To obtain the equation, we multiplied the original bby 100 to eliminate the decimal, which gives 100n = 15.1515... We then subtracted the original equation from the multiplied equation to eliminate the repeating digits, which gives 99n = 15.

5. 99n = 15

n = 15/99

To obtain the fraction, we divided both sides of the equation by 99.

Therefore, the fractional equivalent of the repeating decimal n = 0.1515... is 15/99, which can be simplified to 5/33 in simplest form.

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a. System of equations: 500+0.04x = monthly income with option A

                                       : 400+0.05x = monthly income with option B.

b. $10,000 worth of athletic shoes.

c. It depends on the level of sales and other factors.

What is system of equations?

In mathematics, a system generally refers to a collection of equations or inequalities that are meant to be solved simultaneously. The solutions of the system are the values of the variables that satisfy all of the equations or inequalities in the system. A system can have a single solution, no solution, or an infinite number of solutions

a. Let x be the total sales in dollars. Then we can write the following system of equations to represent the situation:

System of equations can be written as:

Monthly income with option A: 500 + 0.04x

Monthly income with option B: 400 + 0.05x

b. To find the total price of the athletic shoes Kenisha needs to sell to earn the same income from each pay scale, we can set the two expressions for monthly income equal to each other and solve for x:

500 + 0.04x = 400 + 0.05x

0.01x = 100

x = 10,000

Therefore, Kenisha needs to sell a total of $10,000 worth of athletic shoes to earn the same income from each pay scale.

c. To determine which offer is better, we can compare the monthly incomes for different levels of sales. For example, if Kenisha sells $15,000 worth of athletic shoes in a month, we can calculate her monthly income for each option:

Monthly income with option A: 500 + 0.04(15,000) = 1,100

Monthly income with option B: 400 + 0.05(15,000) = 1,150

In this case, option B offers a higher monthly income. However, the better offer may depend on other factors, such as the amount of effort required to make the sales or the stability of the monthly income.

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Answer:

  3024π square inches

Step-by-step explanation:

The surface area is the sum of ...

The relevant area formulas are ...

  A = πrs . . . . . lateral area of cone with radius r and slant height s

  A = 2πrh . . . . lateral area of cylinder with radius r and height h

  A = πr² . . . . . area of a circle of radius r

The radius is half the diameter, so is (36 in)/2 = 18 in. When we add up these areas, we can factor out a common factor to simplify the expression a bit.

  A = πrs +2πrh +πr²

  A = πr(s +2h +r) = π(18 in)(30 in +2(60 in) +18 in) = π(18)(168) in²

  A = 3024π in² . . . . surface area

Check the picture below.

so, to get the area of the object, we'll use the lateral area of a cone with a height of 30 and a radius of 18, and the lateral area of a cylinder with height of 60 and radius of 18, and sum those two up.

\(\stackrel{\textit{lateral area of a cone}}{\pi r\sqrt{r^2+h^2}}\implies \pi 18\sqrt{18^2+30^2}\implies 108\pi \sqrt{34} \\\\\\ \stackrel{\textit{lateral area of a cylinder}}{2\pi rh\implies 2\pi (18)(60)}\implies 2160\pi\)

\(\stackrel{\textit{area of the bottom circle of the cylinder}}{\pi r^2\implies \pi 18^2\implies 324\pi } \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{total area of the shape}}{108\pi \sqrt{34}+2160\pi +324\pi ~~\approx~~9782.1115~~\implies ~~\stackrel{\textit{rounded up}}{\boxed{9782~~in^2}}}\)12

The missing reason 6 of the two column proof that m∠Z = 65° is; Substitution

The two column proof is as follows;

Statement 1: XYZ is a triangle

Reason 1; Given

Statement 2: m∠x + m∠y + m∠z = 180°

Reason 2: Postulate

Statement 3: m∠y = 50°

Reason 3: Given

Statement 4: ∠X ≅ ∠Z

Reason 4: Given

Statement 5: m∠X = m∠Z

Reason 5: Congruency

Statement 6: m∠Z + m∠Z = 180°

Reason6: Substitution

Statement 7: m∠Z + m∠Z = 130°

Reason 7: ?

Statement 8: 2(m∠Z) = 130°

Reason 8: Algebra

Statement 9: m∠Z = 65°

Reason 9: Division property of equality

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Answer:

4000 sorry if its wrong i did the math it should be right

Step-by-step explanation:

HOpe i helped

Answer:

9/10

Step-by-step explanation:

3/5 gallon paint = 2/3 of wall

if you divide 3/2 each side then...

9/10 gallon of paint = 1 wall

Answer:

1/5 of a wall

Step-by-step explanation:

if you take 3/5 and divide it by 2/3 then you get 1/5

Answer:

  b = 64/a³

Step-by-step explanation:

Using the given information, we can only find a relation between a and b. We cannot find any specific value for b.

Since a varies inversely as the cube root of b, we have ...

  a = k/∛b

Multiplying by ∛b lets us find the value of k:

  k = a·∛b = 1·∛64 = 4

Taking the cube of this equation gives ...

  64 = a³b

  b = 64/a³ . . . . . divide by a³

The value of b is ...

  b = 64/a³

Check the picture below.

\(\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{h}{\sin(157^o)}=\cfrac{240}{\sin(6^o)}\implies h\sin(6^o)=240\sin(157^o) \\\\\\ h=\cfrac{240\sin(157^o)}{\sin(6^o)}\implies h\approx 897.1~cm\)

Make sure your calculator is in Degree mode.

Answer:

100k miles

Step-by-step explanation:

A Reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.

The function f(x) = -|x| − 3 can be graphed by following these steps:

Therefore, the correct graph is an option (D). The graph of the option (D) shows a reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.

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Answer:

w + 3 = 16

Step-by-step explanation:

"w" is "how many more weeks" and ( + ) she already did her chores for 3 weeks straight.

w + 3 = 16

Answer:

<EAC=75

<BAD=36

<ACD=75

<FAB=75

<CAD=69

<BDA=69

Step-by-step explanation:

EAC= 180-105=75

BAD= CDA

ACD= 75 opposite <s congruent

FAB= 75 vertical <s congruent

CAD=105-36=69

BDA=69 Opposite <s congruent.

Hope this helps! Should be right we just finished this unit.

The area of a cross section that is parallel to face BFGC is 216 cm².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Mathematically, the formula for surface area of a rectangle is given as;

S.A = L x W

where;

The area of a cross section that is parallel to face BFGC is calculated as;

S.A = 36 cm  x  6 cm

S.A = 216 cm²

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Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.

Uniform acceleration towards the positive direction:

In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.

Uniform acceleration towards the negative direction:

Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.

The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.

Uniform deceleration towards the positive direction:

In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.

The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.

Uniform deceleration towards the negative direction:

Here, the object's velocity decreases in the negative direction, opposing its initial direction.

The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.

In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.

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Answer:

-9≤y≤8

Step-by-step explanation:

The range is the output values

Y goes from -9 to 8

-9≤y≤8

Answer:

-9≤y≤8

Step-by-step explanation:

That is the correct answer on plato.

The value of n from the given equation is 30.5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 57,491 = 1,885n

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, n=57,491/1885

n=30.5

Therefore, the value of n is 30.5.

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"Your question is incomplete, probably the complete question/missing part is:"

Solve to find the value of n

57,491 = 1,885n

Answer:

Step-by-step explanation:

Step(i):-

Given first random sample size n₁ = 500

Given  Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer.

First sample proportion

                             \(p^{-} _{1} = \frac{65}{500} = 0.13\)

Given second sample size n₂ = 700

Given a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer.

second sample proportion

                             \(p^{-} _{2} = \frac{133}{700} = 0.19\)

Level of significance = α = 0.05

critical value = 1.96

Step(ii):-

Null hypothesis : H₀: There  is no significance difference between these proportions

Alternative Hypothesis :H₁: There  is significance difference between these proportions

Test statistic

\(Z = \frac{p_{1} ^{-}-p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }\)

where

        \(P = \frac{n_{1} p^{-} _{1}+n_{2} p^{-} _{2} }{n_{1}+ n_{2} } = \frac{500 X 0.13+700 X0.19 }{500 + 700 } = 0.165\)

       Q = 1 - P = 1 - 0.165 = 0.835

\(Z = \frac{0.13-0.19 }{\sqrt{0.165 X0.835(\frac{1}{500 } +\frac{1}{700 } )} }\)

Z =  -2.76

|Z| = |-2.76| = 2.76 > 1.96 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

Alternative hypothesis is accepted at 0.05 level of significance

Conclusion:-

There is there is a difference between these proportions at α = 0.05

According to the question,

Women,

            \(= 0.13\)

Men,

            \(= 0.19\)

Now,

The pooled estimate of the proportion will be:

→ \(\hat p=\frac{x_1+x_2}{n_1+n_2}\)

By substituting the values,

      \(= \frac{65+133}{500+700}\)

      \(= 0.165\)

then,

→ \(\hat q = 1- \hat p\)

     \(= 1- 0.165\)

     \(= 0.835\)

hence,

The test statistics:

→ \(Z = \frac{\hat p_1- \hat p_2}{\sqrt{\hat p\times \hat q\times (\frac{1}{n_1} +\frac{1}{n_2} )} }\)

By putting the values, we get

      \(= \frac{0.13-0.19}{\sqrt{0.165\times 0.835\times (\frac{1}{500} +\frac{1}{700} )} }\)

      \(= -2.76\)

Thus the above response is right.  

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