This question point possible Suppose a state has 16 representatives and a population of 10 million party afations are 70% Republican and 30% De al districts were drawn randomly, what would be the most likely distribution of House seals? but the districts could be drawn without restriction (unlimited gerrymandering), what would be the maximum and minimum number of Republican representatives who could be o a. What would be the most likely distribution of House? 11Republeans, Democrats The maximum number of Republicans representan The minimum number of Republicans represes could be Submit quiz

Answer:

Second choice
∠BCA ≅ ∠DCA

Step-by-step explanation:

This logically follows from the fact that both ∠BCA and ∠DCA are right angles from the previous step. And the reason given is "All right angles are ≅)

So they are congruent

Option (D) Between 5.1 and 5.3 is the correct answer fore the question where 5.2 on the number line would be located.

On a number line, each number is represented by a point. The location of a number on a number line depends on whether it is greater than or less than other numbers.

In the case of 5.2, it is located between 5.1 and 5.3, as option D states. This is because 5.2 is greater than 5.1 but less than 5.3. Therefore, its location on the number line would be between the points representing 5.1 and 5.3.

A number line is a useful visual tool for understanding the relative position of numbers to each other, as well as for performing basic arithmetic operations. Option (D) Between 5.1 and 5.3 is the correct answer fore the question where 5.2 on the number line would be located.

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Answer:

The quotient is 6.

Step-by-step explanation:

Given two fractions are:

\(29\dfrac{1}{5}\)

and

\(4\dfrac{6}7\)

To find:

The quotient of

\(29\dfrac{1}{5}\div 4\dfrac{6}7\)

Solution:

Formula to convert mixed fraction to a fraction:

\(p\dfrac{q}{r} = \dfrac{p\times r+q}{r}\)

Using the above formula to rewrite the given mixed fractions:

\(29\dfrac{1}{5}\) can be written as:

\(\dfrac{29\times 5+1}5\\\Rightarrow \dfrac{146}{5}\)

\(4\dfrac{6}7\) can be written as:

\(\dfrac{4\times 7+6}{7}\\\Rightarrow \dfrac{34}{7}\)

Now dividing:

\(\dfrac{\frac{146}{5}}{\frac{34}{7}}\\\Rightarrow \dfrac{146\times 7}{5\times 34}\\\Rightarrow \approx 6\)

Therefore the quotient is 6.

Answer:

Round the numbers to estimate the quotient.

29 and one-fifth divided by 4 and StartFraction 6 over 7 EndFraction

Which numbers should be used?

✔ 29

÷

✔ 5

The estimated quotient is

✔ 5 4/5

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

2x+x+3=9

2x+x=9-3

3x=9-3

3x=6

x=2

Answer:

a) 2x + 3 = -x + 9

or, 3x = 6

# x = 2 since there is no y in the equation the value of y could be 0.

b) it intersects at ( 2, 0 )

Step-by-step explanation:

We need to find the number of students that scored above 50.57.

That number is given by the sum of all heights of the bars after 50.5:

Heights of the bars with scores above 50.5:

• bar labeled 1: ,100

• bar labeled 2: ,250

• bar labeled 3: ,200

• bar labeled 4: approximately ,190

• bar labeled 5: approximately ,60

Then, adding those values, we obtain:

Answer: D. 800

Step-by-step explanation:

as a first step we can simplify the ratio (because it is nothing else than a fraction) :

56:22 = 28:11

it means that for every 28 movie posters there should be 11 band posters.

now, when she sells 28 movie posters (that is actually half of her stock), she has 28 movie posters left.

that did exactly the same operation we already did at the beginning with the simplification. so, we know already the answer.

but what, if it would not be such a nice, easy number ?

so let's do it formally fully correct :

as a ratio is the same as a fraction, the same operations apply. if we change one number by a factor, we need to multiply the other number by the same factor to keep the overall value unchanged.

56 × f = 28

f = 28/56 = 1/2

=>

22×f = 22×1/2 = 11

so, she wants to keep 11 band posters to keep the same ratio. and that means she has to sell 11 band posters.

The nth term of the arithmetic sequence is 10 - 3n.

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a constant value, called the common difference, to the preceding term.

The formula for the nth term (where n is a positive integer) of an arithmetic sequence is:

Here we have

a₁ = 7, a₂ = 4, a₃ = 1, a₄ = -2  

Common difference d = a₂ - a₁ = 4 - 7 = - 3

By using the formula

nth term of AP = 7 + (n - 1)(-3)

= 7 - 3n + 3

= 10 - 3n

Therefore,

The nth term of the Arithmetic sequence is 10 - 3n.  

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The triangles are congruent by ASA(angle side angle) theorem

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

In other words, triangles are congruent when they have exactly the same three sides and exactly the same three angles.

There are different ways to find that out that triangles are congruent.

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Therefore, the triangles are congruent by ASA(angle side angle) theorem.

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Based on the Boxplot given , the authenticity of the statements are :

Also, the pseudocode is used to calculate total cost of item purchased by a customer .

From the Boxplot given:

JOB A :

median = 70

JOB B:

median = 30

JOB C :

median = 30

Hence, median income for Job A is greater than for Job B and C is True.

Minimum amount earned in Job A = 50.

However, some people earn above 50 and as much as 120 in Job C.

Hence, not everyone who does job A earns more than those in Job C.

Job C :

interquartile range = 80 - 20 = 60

Job A :

interquartile range = 98 - 60 = 38

Hence, the interquartile range for Job C is greater than for Job A. The statement is True.

2.)

The pseudocode is used to calculate the entire cost of an item depending on the number of toppings requested. The program also includes a tax fee of 13% of the total purchase fee.

Hence, the program calculates cost of purchase.

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Answer:

Students solve problems by comparing different ratios using two or more ratio tables. ... If you used ratios to compare, what do the ratios mean in the context of this ... Laredo makes his juice by combining three cups of water for every one cup of ... Milton's Juice. Water. JC. Total. Water. JC. Total. Water. JC. Total. 12. 2. 14. 15.

Step-by-step explanation:

Answer:

113.1 m^2

Step-by-step explanation:

Answer:

The answer is the third graph.

Step-by-step explanation:

Since we are looking for a constant balance, we should focus on the line in the graph. In graph 3, we see a line going straight horizontally, without any inclines or declines. Since the word "constant" in Mathematics is a line that has a slope of 0, the answer must be the third graph.

P(A and B) = P(A) × P(B) is the formula used to assess if two events are independent (B).

P(A) is the chance that event A will occur.

The chance that event B will occur is marked as P(B).

If the chance of both occurrences happening at the same time, P (A and B), equals the product of the individual probabilities of each event, P(A) x P(B), the events are called independent.

If, on the other hand, the chance of both occurrences occurring simultaneously is less than the product of the individual probabilities of each event, the events are deemed dependent.

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Answer:

\( →{6}^{3} \times {9}^{3} \\ = ( {2}^{3} \times {3}^{3} ) \times ( {3}^{3} \times {3}^{3} ) \\ = {2}^{3} \times {3}^{3} \times {3}^{3} \times {3}^{3} \\ = \boxed{{2}^{3} \times {3}^{9} }✓\)

the police officer should expect to pull over approximately 4 drivers until she finds a driver who is not texting while driving.

What is Probability?

Probability refers to the measure of the likelihood or chance of an event occurring. It quantifies the uncertainty associated with an event or outcome and is expressed as a value between 0 and 1. A probability of 0 indicates an impossible event, while a probability of 1 represents a certain event.

To find the number of people a police officer should expect to pull over until she finds a driver not texting while driving, we can use the concept of probabilities.

The probability of a driver not texting while driving is given by (100% - 52%) = 48%.

Now, let's calculate the probability of encountering a driver who is texting while driving for different numbers of drivers pulled over:

For the first driver pulled over, the probability of encountering a driver who is texting while driving is 52% or 0.52.

For the second driver pulled over, the probability of both the first and second drivers texting while driving is 0.52 * 0.52 = 0.2704, and the probability of the second driver not texting while driving is (1 - 0.52) = 0.48.

For the third driver pulled over, the probability of all three drivers texting while driving is 0.52 * 0.52 * 0.52 = 0.140608, and the probability of the third driver not texting while driving is (1 - 0.52) = 0.48.

Continuing this pattern, we can calculate the probabilities for the fourth and fifth drivers.

Therefore, the police officer should expect to pull over approximately 4 drivers until she finds a driver who is not texting while driving.

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Complete Qustion:

It is estimated that 52% of drivers text while driving. How many people should a police officer expect to pull over until she finds a driver not texting while driving? Consider each driver independently.

The probability of a couple having a girl, a boy, a girl, and a boy in this specific order is 1/16, or 0.0625.

This can be calculated using the multiplication rule for probabilities, which states that the probability of two independent events both occurring is the product of their individual probabilities.

The probability of each birth being a girl or a boy is 1/2, so the probability of having a girl and a boy in any order is 1/2 * 1/2 = 1/4. The probability of having a girl, a boy, a girl, and a boy in this specific order is the product of the probabilities of each event, which is (1/2) * (1/2) * (1/2) * (1/2) = 1/16.

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Answer:

n = 7

Step-by-step explanation:

Your answers are correct.

For problem 3, we use error estimation:

| (-2)ⁿ⁺¹ / (n+1)! | < 0.01

(2)ⁿ⁺¹ / (n+1)! < 0.01

By trial and error:

If n = 3, (2)ⁿ⁺¹ / (n+1)! = 0.667

If n = 5, (2)ⁿ⁺¹ / (n+1)! = 0.089

If n = 7, (2)ⁿ⁺¹ / (n+1)! = 0.006

Answer:

used formula

Step-by-step explanation:

y-y1=m(x-x1)

Answer:

Step-by-step explanation:

x = 4

3x^2

3(4)^2

3(16)= 48

Answer:

right angled triangles

9514 1404 393

Answer:

  7.5 mm

Step-by-step explanation:

As with any parallelogram, the area of a rhombus is given by ...

  A = bh

Using the given values, we find ...

  39 mm² = b(5.2 mm)

  b = (39 mm²)/(5.2 mm) = 7.5 mm

The length of each side is 7.5 mm.

Answer:

Solution given:

height=5.2mm

Area of rhombus=39mm²

we have

Area of rhombus=base*height

39=5.2×base

base=39/5.2

base=7.5mm

the length of each side of

the length of each side ofthe earring is 7.5mm.

There are no tangents to the curve f(x) =1/x that have slope -1.Therefore, the answer is option E. Oy=x-2.

Given a function,  f(x) =1/x. We have to find the equation of all tangents to the curve f(x) =1/x that have slope -1.

To find the equations of tangents, we need to find the derivative of the function f(x) and equate it to -1.Let's find the derivative of the function f(x).f(x) = 1/x

Therefore,   f'(x) = -1/x²Equating the slope with -1, we have,-1/x² = -1 => 1/x² = -1 => x² = -1,

which is not possible. Hence, there are no tangents to the curve f(x) =1/x that have slope -1.Therefore, the answer is option E. Oy=x-2.

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Answer:

hi,as u promise,lets go!!

a)1min=30w

x=400w

b)1min=30w

x=400w

1min×400w=x×30w

400w min=x×30w

30w 30w

x= 13mins and 3 sec.

c)1min=30w

10 min=x.

d)1min=30w

10min=x

1min×x=10min×30w

1min ×x = 300wm

1min 1min

x=300words.

Answer:

a.) 1:30 :: x:400

b.) About 13 minutes and 35 seconds

c.) 1:30 :: 10:x

d.) 300 words

Step-by-step explanation:

a.) 1 = minute 30 = words typed in that minute 400=words typed x=minutes

b.) 400 / 30 = 13.3

c.) 1 = minute 30 = words typed in that minute x=words typed 10=minutes

d.) 10 x 30 = 300

Answer:

x = 102 , y = 35

Step-by-step explanation:

x and 78 are same- side interior angles and sum to 180° , that is

x + 78 = 180 ( subtract 78 from both sides )

x = 102

x and 6y - 108 are vertically opposite angles and are congruent , so

6y - 108 = 102 ( add 108 to both sides )

6y = 210 ( divide both sides by 6 )

y = 35

Answer:

20+40=60(n-1)

3(20(n-1

20(3)n-1

60(3)n-1

Frank's average speed is the rate of the distance traveled and the time

Frank's average speed is 6.58 miles per hour

The given parameters are:

Distance = 5.3 kilometers

Time = 30 minutes

The average speed is then calculated as:

Average speed = Distance/Time

Substitute known values

Average speed = 5.3km/30 minutes

Convert time to hours

Average speed = 5.3km/0.5 hour

Convert the distance to miles

Average speed = 3.29 miles/0.5 hour

Evaluate the quotient

Average speed = 6.58 miles per hour

Hence, Frank's average speed is 6.58 miles per hour

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Hydrostatic weighing uses the statistic known as density to predict the percentage of body fat.

Hydrostatic weighing, also known as underwater weighing or densitometry, is a method used to estimate body composition by measuring the density of an individual's body.

The principle behind hydrostatic weighing is that fat tissue is less dense than lean tissue, such as muscle and bone.

During a hydrostatic weighing test, the individual is submerged in water while their body volume is measured. By comparing the weight on land with the weight in water, the density of the body can be calculated.

The measured density is then used in equations or regression models to estimate the percentage of body fat.

The statistic of density is crucial in this process because it represents the ratio of an individual's mass to their volume.

By accounting for the density of fat and lean tissue, hydrostatic weighing provides an estimate of body fat percentage based on the differences in density between these components.

It is worth noting that while hydrostatic weighing has been widely used as a reference method for body composition assessment, more modern techniques such as dual-energy X-ray absorptiometry (DXA) and bioelectrical impedance analysis (BIA) have gained popularity due to their convenience and accessibility.

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