Use proper probability notation. Identify function and label inputs when using technology.


1. Honda cars make up 18% of registered vehicles in Florida. You take a SRS of 500 car owners in Florida. What is the chance


your sample contains 20% or more of Honda owners? Use the 4-step plan.

Answer: a. $12, b. $12, c. $13, d. $12

Step-by-step explanation:

a. 1+1+1+1+1+1 = 6, 2+2+2=6, 6+6=12

b. 1+1+1+1=4, 2+2+2+2=8, 4+8=12

c. 1+1+1+1+1=5, 2+2+2+2=8, 5+8=13

d. 1+1+1+1+1+1+1+1=8, 2+2=4, 8+4=2

Answer:

x=-2

y=5

Step-by-step explanation:

x+2y=8   equation-1  

-x+3y=17 equation-2

5y=25

Both side divided 5,

y=5

Equation-1, y=5

x+2(5)=8

x+10=8

Both side -10

x+10-10=8-10

x=-2

Equation-2, y=5

-x+3(5)=17

-x+15=17

Both side -15

-x+15-15=17-15

-x=2

x=-2

The car takes the time 5.5 hours i.e.5 hours and 30 minutes to travel 462 kilometres when the car travels at average speed of 84 kilometres per hour

Given the average speed of the car is 84 kilometres per hour and the distance to be travelled is 462 kilometres and asked to find the time taken for the journey of 462 kilometres

To calculate the time taken for the journey we use the below-mentioned formula

\(speed=\frac{distance}{Time taken}\)

(speed)×(Time taken)=distance

\(Time taken=\frac{distance}{speed}\)

Time taken=\(\frac{462 kilometres}{84KMPH}\)

Time taken=5.5 hours i.e.5 hours and 30 minutes

As a result, the time spent on the car journey is 5.5 hours

Hence, It takes the time 5hours and 5 minutes to travel 462 kilometres

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Based on this exhibit, a high school student is required to determine whether the proportion of the population in favor of candidate A is significantly option (b) or (c) greater than 80% or 75% at a 0.05 level of significance.

In statistical analysis, determining the proportion of a population in favor of a candidate or an idea is crucial in predicting election outcomes or measuring public opinion. Exhibit 9-6 presents statistical data on the proportion of the population in favor of candidate A

To answer this question, we need to conduct a hypothesis test and calculate the p-value. The null hypothesis (H0) states that the proportion of the population in favor of candidate A is equal to or less than the given proportion, while the alternative hypothesis (Ha) states that the proportion is greater than the given proportion. Therefore, the hypotheses can be stated as follows:

H0 => p ≤ 0.80 or p ≤ 0.75

H1 => p > 0.80 or p > 0.75

We then calculate the test statistic, which is the z-score. This can be done using the formula:

z = (p - p₀) / √(p₀(1-p₀)/n)

where p is the sample proportion, p₀ is the given proportion, and n is the sample size.

Next, we calculate the p-value, which is the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true. Since this is a one-tailed test, we use the standard normal distribution table and look up the area to the right of the calculated z-score. The p-value is the probability of getting a z-score as extreme or more extreme than the calculated one. If the p-value is less than the level of significance, we reject the null hypothesis and conclude that the alternative hypothesis is true.

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The numerical  value of to the nearest tenth is 14.3.

From the diagram, we have a right angle triangle.

Using trig ratio, Tangent = Opposite / Adjacent.

Hence;

tan( Ф ) = Opposite / Adjacent

Plug in the given values and solve for x

tan( 40° ) = 12/ x

tan( 40° ) × x = 12

x = 12 / tan( 40° )

x = 12 / 0.8390996

x = 14.3

Therefore, the value of x is approximately 14.3.

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Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is A. No, because it is not a straight line.

Answer:

yes

Step-by-step explanation:

working for 2 5/6 hours, she has 5/8 of the fence.

so per hour = 5/8 ÷ 2 5/6 =15/68 per hour

5 hours she'll do: 15/68*5 = 75/68

75 >68

so yes she will finish it

Answer:

To estimate the probability of a tiger living longer than 14.3 years, we will use the empirical rule, which states that for a normal distribution:

68% of data falls within one standard deviation of the mean

95% of data falls within two standard deviations of the mean

99.7% of data falls within three standard deviations of the mean

First, we need to convert the given value of 14.3 years into standard units. We can do this by using the following formula:

Z = (x - mean) / standard deviation

where x is the value in question (14.3 years), mean is the average lifespan of a tiger (22.4 years), and standard deviation is the standard deviation of tiger lifespans (2.7 years).

Z = (14.3 - 22.4) / 2.7 = -4.1

This means that a tiger living for 14.3 years is 4.1 standard deviations below the mean.

Since we know that 99.7% of data falls within three standard deviations of the mean, we can conclude that the probability of a tiger living longer than 14.3 years is less than 0.3% (or 0.003). Therefore, it is very unlikely that a tiger in this zoo will live longer than 14.3 years.

Uday Tahlan

Answer: .15%

Step-by-step explanation:

got it on khan

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

the correct answer is the second one

Step-by-step explanation:

I will add a photo of my solution, because there's a lot to type here

Answer:

D. -1

Step-by-step explanation:

\( \frac{1}{3} (6x - 15) = \frac{1}{2} (10x - 4)\)

Begin by distributing the term outside of the parentheses to each term inside.

\(2x - 5 = 5x - 2\)

Now subtract 2x from each side to isolate the variable.

\( - 5 = 3x - 2\)

Add 2 to each side.

\( - 3 = 3x\)

Divide by 3 to solve for x.

\( - 1 = x\)

Answer:

y=\(\frac{21*97^x}{100^x}\), x= all real numbers

The line of intersection of the planes x+2y+z-1=0 and 2x+3y+2z+2=0 is given by the equation x = 2/3 + 4t  y = -4/3 - 3tz = -t

When the plane x+2y+z-1=0 intersects with the plane 2x+3y+2z+2=0, it will form a line.

To determine this line, we can use the following method:

First, we need to find the point of intersection of the two planes.

To do this, we can solve the two equations simultaneously.

x+2y+z-1=0

2x+3y+2z+2=0

Multiplying the first equation by 2 and subtracting it from the second equation, we get:

-3y-4z-4=0or3y+4z+4=0

This equation represents a plane that is parallel to the given planes and contains their line of intersection.

Now we need to find a point on this plane.

Let's assume z=0.

Then,

3y+4(0)+4=0or y=-4/3

Substituting z=0 and y=-4/3 in the first equation, we get:

x+2(-4/3)+0-1=0or x=2/3

Therefore, a point on the line of intersection is (2/3,-4/3,0).

Next, we need to find the direction vector of the line.

This can be done by finding the cross product of the normal vectors of the two planes.

The normal vector of the first plane is (1,2,1) and that of the second plane is (2,3,2).

Therefore, the direction vector of the line is:

(1,2,1) x (2,3,2)=(4,-3,-1)

Now we have a point on the line and its direction vector.

Therefore, the equation of the line is given by:

r = (2/3,-4/3,0) + t(4,-3,-1)

where t is a parameter.

This equation can be rewritten in parametric form as:

x = 2/3 + 4t  y = -4/3 - 3tz = -t

Therefore, the line of intersection of the planes x+2y+z-1=0 and 2x+3y+2z+2=0 is given by the equation above.

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Answer:

The answer to this equation is 9+4n

Mine is not heating up I don't know about others

Answer:

A

Step-by-step explanation:

Here, we are to select which of the options best answer the question. The correct answer here is that the product of the slopes of the two lines is -1.

When we talk about perpendicular lines, these are lines that are at an angle of 90 degrees to each other.

These lines have slopes of which their product is -1. What this means is that one of the slopes is a negative reciprocal of the other. By multiplying these two slopes together, we get -1.

Say we have two perpendicular lines with slopes m1 and m2 respectively, the product of both slopes is equal to -1.

Mathematically in this case;

m1 * m2 = -1

Answer:

the slopes have a product of -1

Step-by-step explanation:

i got it right and i just took the test on gradpoint

good luck!!

The given problem involves integrating a complex function counterclockwise along a specific curve in the complex plane. The curve is defined by the equation |z-1| = 6.

To solve the problem, we need to integrate the function 2+6dz counterclockwise along the curve C defined by |z-1| = 6. Let's break down the solution into two parts: first, we determine the parametric representation of the curve C, and then we perform the integration.

The equation |z-1| = 6 represents a circle centered at z = 1 with a radius of 6. By applying the parametrization z = 1 + 6\(e^{(it)}\), where t is the parameter ranging from 0 to 2π, we can represent the curve C in a parametric form.

Next, we substitute this parametric form into the integral and rewrite the differential dz using the chain rule. The given integral becomes ∫(2+6(1 + 6\(e^{(it)}\)))i(6\(e^{(it)}\))dt.

Expanding and simplifying, we have ∫(2 + 6i + 36i\(e^{(it)}\) - 36\(e^{(it)}\))dt.

Integrating term by term, we get the result as 2t + 6it - 36\(e^{(it)}\). Evaluating the integral from 0 to 2π, we substitute these values into the result expression.

Finally, simplifying the expression, the integrated value for the given problem is 4π - 12i.

In conclusion, integrating counterclockwise 2+6dz = Joz-2 2+6 Joz-2 dz along the curve C, where |z-1| = 6, results in a value of 4π - 12i.

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The angle x of the triangle is 68 degrees and the side y is 7.5 units.

The triangle ABC is a right angle triangle because it has one angle as 90 degrees. The sum of the angles in the triangle is 180 degrees.

The angle ECD is congruent to angle ACB(vertically opposite angles).

Therefore,

∠ECD ≅ ∠ACB

Hence,

x = 180 - 90 - 22

x = 68 degrees.

using trigonometric ratios, let's find y

cos 22 = adjacent / hypotenuse

sin 22 = 2y - 1 / 15

cross multiply

15 cos 22 = 2y - 1

2y - 1 = 13.9077578185

2y = 13.9077578185 + 1

2y = 14.9077578185

divide both sides by 2

y = 14.9077578185 / 2

y = 7.45387890925

Therefore,

y = 7.5 units

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Answer:

missing side is 5x - 4

Step-by-step explanation:

x - 1 + ( 3x + 6 ) + third side = 9x + 1

x - 1 + 3x + 6 + third side = 9x + 1

4x + 5 + third side = 9x + 1

third side = 9x + 1 - ( 4x + 5 )

third side = 9x + 1 - 4x - 5

third side = 5x - 4

Answer:

1) YTW

2) WT, TZ

3) UTZ

4) Right angle

  Acute angle

  Obtuse angle

  Right angle

5) TU

Assuming Boden does not add or take out any money, he would have $470.4 in the account after 4​ years.

Mathematically, simple interest can be calculated by using this formula:

S.I = PRT or S.I = A - P

Where:

Substituting the given parameters into the simple interest formula, we have;

S.I = 400 × 4.4/100 × 4

S.I = 400 × 0.044 × 4

S.I = $70.4.

Next, we would calculate the future value as follows;

S.I = A - P

Future value, A = S.I + P

Future value, A = $70.4 + $400

Future value, A = $470.4.

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The correct inequality that represents the given scenario is, x + 4 ≤ 16. Hence option A is true.

Used the concept of inequality,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that,

Joanne volunteers 4 hours more per week than Richard does.

In a given week, they do not volunteer for more than a combined total of 16 hours.

Let x be the number of hours that Richard volunteers.

Then the correct inequality is,

x + 4 ≤ 16

Therefore, option A is true.,

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Answer:

2*1/2+2=3

-4x-2y=-6 is x=−1/2y+3/2

Step-by-step explanation:

By using the concept of profit, it can be calculated that

Profit function = 5.75 x - 1200

What is profit?

If the selling price of an article is more than the cost price of the article, the difference between the selling price and cost price gives the profit

Monthly expense for a pizza parlor C(x) = 1,200 + 6. 75x

Revenue function = 12.5x

Profit function = R(x) - C(x)

                       =  12.5x - (1200 + 6.75x)

                       = 12.5 x - 1200 - 6.75x

                       = 5.75 x - 1200

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Answer:

P(x)= 5.75x -1,200

Step-by-step explanation:

Plato/Edmentum

Answer:

P.=2(2x+5)+2(x-10)=80cm

6x-10=80

x=90/6=15cm

Area= L*W= 35*5=175 squared cm= 0.0175 squared m

In order to determine the volume of the given ball, use the following formula:

where

r: radius = diameter/2 = 6 in/2 = 3 in

replace the previous values of the parameter into the formula for V:

Hence, the volume of the given ball is 36π in^3

The matrix that shows the prices in U.S. dollars is:

[1.81  6.32  0.56 0.36]

Here we have a simple row matrix which can be written as:

[80  280  25  16]

You can see this as a row vector or something like that, notice that if we multiply this by an scalar, we just need to multiply each element by an scalar.

Now, we know that:

1 dollar = 44.32 Nu

then:

1 Nu = (1/44.32) dollars.

So to get the matrix in dollars, just multiply each number by (1/44.32), then we will get:

(1/44.32)*[80  280  25  16] = [80/44.32  280/44.32  25/44.32  16/44.32]

= [1.81  6.32  0.56 0.36]

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