The equation of line v is y= 5/8x + 9/4. Line w is perpendicular to v. What is the slope of line w?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Null and alternative hypothesis are statements about the sample statistics.

The null hypothesis of both a test typically forecasts no effect or no association between variables, even while the alternative hypothesis expresses their research's prediction of an effect or relationship.

Because Student's t distribution will be less leptokurtic as both degrees of freedom increase, the likelihood of extreme values decreases. Gradually, the distribution resembles a standard normal distribution.

The two primary forms of probability distributions are discrete probability distributions and continuous probability distributions. Each category includes a variety of probability distribution types.

The average relative frequency over all potential trials is known as probability.

For instance, the probability of a coin falling on heads is such that if you flip a coin an infinite number of times, it will land on heads 50% of the time.

Hence we can say that the Null and alternative hypothesis are statements about the sample statistics.

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The distance Mrs. Smith covers is 3520 yards during the duration of the week by Friday morning.

One week has seven days in total.

Mrs. Smith walks half a mile each day after work, she walks a total of

0.5 miles/ day × 7 days/ week = 3.5 miles/ week

Now, if we calculate the distance on Friday morning, she must have walked four times till Friday morning since she has to walk after her work.

Therefore,

0.5 miles/ day × 4 days = 2 miles

To convert miles to yards, we can use the fact that there are 1760 yards in one mile:

2 miles/week × 1760 yards/mile = 3520 yards/week

Therefore, by Friday morning, Mrs. Smith will have walked 3520 yards.

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The probability that the point chosen randomly in the figure lies on the shaded region is equal to 0.39 to the nearest hundredth.

The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.

The total possible outcome is the area of the triangle, while the required outcome is the are of the shaded semicircle.

total possible outcome = 1/2 × 20 × 10

total possible outcome = 100 square units

required outcome = 1/2 (22/7 × 5 × 5)

required outcome = 275/7 or 39.29 square units

probability a randomly chosen point lie in the shaded region = 39.29/100

probability a randomly chosen point lie in the shaded region = 0.3929

Therefore, the probability that the point chosen randomly in the figure lies on the shaded region is equal to 0.39 to the nearest hundredth.

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Answer:

The coordinates (8,9) lie in quadrant 1

Step-by-step explanation:

The coordinates on quadrant ___ go like this:

Quadrant l : (+,+)

Quadrant ll : (-,+)

Quadrant lll : (-,-)

Quadrant llll : (+,-)

In a survey of adults who set themselves some fitness targets, 5% achieved all of them, and 15% achieved some of them. Another fitness survey questions 400 adults. There are 80 people who expect to achieve all of their targets.

Percentage:

In mathematics, a percentage is a number or a ratio that can be expressed as a fraction of 100. If we need to calculate a percentage of a number, we divide the number by a whole number and multiply by 100. So , percent means one hundredth and the word percent means every 100th. It is represented by the symbol "%".

Given that:

5% achieve all of them

15% achieve some of them

Total percentage = 5% + 15%

                              = 20%

there are 400 adults = 400× 20%

                                    = 80% target

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To find the median of a data set when the number of observations is odd, you follow these steps:

Arrange the data set in ascending order.

Identify the middle observation in the ordered data set.

The value of the middle observation is the median.

For example, let's say you have the following data set with an odd number of observations:

3, 5, 1, 2, 4

To find the median, you would:

Arrange the data set in ascending order: 1, 2, 3, 4, 5

Identify the middle observation, which is 3.

Therefore, the median of this data set is 3.

In summary, when the number of observations in a data set is odd, the median is the middle value when the data is arranged in ascending order.

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Answer:

x=2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x)

Distribute

15x -10 = 10 + 6 +2x

Combine like terms

15x -10 =16+2x

Subtract 2x

13x -10 = 16

Add 10

13x= 16+10

13x = 26

Divide by 13

13x/13 = 26/13

x =2

Answer:

x=2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x)

Distribute.

2.5*6x-2.5*4=10+4*1.5+4*0.5x

15x-10=10+6+2x

Combine like terms.

15x-10=16+2x

Add 10 to both sides

15x-10+10=16+10+2x

15x=26+2x

Subtract 2x from both sides.

15x-2x=26+2x-2x

13x=26

Divide both sides by 13

x=2

The ratio of the time taken by Brian and Colin to mark exam papers is 43 minutes to 1 hour. Hence, the simplified ratio of the time taken by Brian and Colin to mark exam papers is 43:60.

To express the times taken by Brian and Colin as a ratio, we need to convert their times to a common unit. Since both Brian and Colin's times are given in minutes and hours respectively, we need to convert Colin's time to minutes.

We know that 1 hour is equal to 60 minutes. Therefore, Colin's time of 1 hour can be expressed as 60 minutes.

Now, the ratio of Brian's time to Colin's time is 43 minutes to 60 minutes. However, we can simplify this ratio by dividing both numbers by their greatest common divisor, which is 1.

Dividing 43 and 60 by 1 gives us the simplified ratio of 43:60. This ratio cannot be further simplified since there is no common factor greater than 1 between 43 and 60.

Hence, the simplified ratio of the time taken by Brian and Colin to mark exam papers is 43:60.

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Answer:

‼️A) 12‼️

Step-by-step explanation:

Key skills needed: Interior Angle Measure Theorem, Equation Creation

Step 1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures

The theorem is:    S = (n - 2)180S=(n−2)180

S is the sum of all interior angle measures

n is the number of sides of the polygon

Step 2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:

---> S = (7-2)180S=(7−2)180

---> (7-2) is 5 since 7 - 2 = 5 so --> S = 5(180)S=5(180)

---> 5(180) is the same as 5 x 180 which is 900 so --> S = 900S=900

This means that the sum of all interior angles is 900 degrees.

Step 3) Now, we have to find out the sum of all the angles that they gave us so:

---> 10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 90010x+10x+9+133+9x+14+12x−9+10x+5+136=900

The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.

Step 4) We have to combine all like terms on the left side:

---> 10x + 10x + 9x + 12x + 10x = 51x10x+10x+9x+12x+10x=51x

---> 9 + 133 + 14 -9+5+136 = 2889+133+14−9+5+136=288    

Step 5) This means that ---> 51x + 288 = 90051x+288=900

Subtract 288 from both sides  and get:

---> 51x = 61251x=612    (900-288 = 612)

Then divide by 51 from both sides and get:

---> x = 12x=12     (612 ÷ 51 = 12)

Therefore A) 12 is your answer.

I think it should be none of these.

The term on the left has to be even no matter what value of x and the right has to be odd no matter what value of x. Therefore, there shouldn't be an integer value of x that satisfies the equation, let alone the answer choices A-D.

Answer:

Step-by-step explanation:

-10.9p + 3.9

-10.9p turns positive.

The (p) is isolated.

10.9 - 3.9= 9.18 = -9.18

Answer

-9.18

The length of side RQ is 13.00 ft.

Given that a triangle RPQ, with sides RP = 8 ft, PQ = 13 ft and angle P between these sides equal to 71°, we need to find the length of side RQ which is opposite to the angle P,

To find the length of side RQ using the cosine rule, we can use the formula:

RQ² = RP² + PQ² - 2 RP PQ Cos(P)

Let's plug in the given values:

RP = 8 ft

PQ = 13 ft

angle P = 71°

Now we can calculate RQ:

RQ² = 8² + 13² - 2 × 8 × 13 × cos(71°)

Using a calculator, we can evaluate the cosine term:

RQ² = 64 + 169 - 208 × cos(71°)

RQ² ≈ 64 + 169 - 208 × 0.3072

RQ² ≈ 64 + 169 - 63.9936

RQ² ≈ 169.0064

Taking the square root of both sides:

RQ ≈ √169.0064

RQ ≈ 13.00 ft (rounded to two decimal places)

Therefore, the length of side RQ is 13.00 ft.

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The statement "if A then B" can best be described as a conditional statement or an implication. It expresses a logical relationship between two propositions, where A is the antecedent (the condition) and B is the consequent (the result). The statement asserts that if A is true, then B must also be true. If A is false, the truth value of B is not determined by this statement.

The ASSERT statement asserts whether a condition is true or false or whether a statement should not be executed. Asserts that test-expression is true when one or more bits in test-expression have the value '1'B.

An assertion is a statement made as part of an argument. For example, if your argument is housed in your thesis, your body paragraphs might contain assertions (in the form of topic sentences) that underpin the thesis. These assertions also require their own support.

The statement "if A then B" can best be described as a conditional statement or an implication. It expresses a logical relationship between two propositions, where A is the antecedent (the condition) and B is the consequent (the result). The statement asserts that if A is true, then B must also be true. If A is false, the truth value of B is not determined by this statement.

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Answer:

(3,0°)

Step-by-step explanation:

a p e x

Answer:

(3, 0 degrees) is the right answer

Step-by-step explanation:

Use tan(theta)=y/x for theta and

x^2+y^2= r^2 for the r value

Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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Answer:

(4w) > 28

Step-by-step explanation:

Please mark helpful

Answer:

4-1=3

5(4-1)    15

2(4)-2(1)   6

1-4    -3

Step-by-step explanation:

here you go...

please mark brainliest

Answer:

Step-by-step explanation:

a) :x-y=3(a) 5(x-y) = 5×3 =15

:. 5(x-y)=15

b)  2x-2y = 2(x-y)

      2(3) =2*3=6

      :. 2x-2y=6

c) y-x = -(x-y)

     -(x-y) = -(3).

   :. y-x=-3

Answer:

100

Step-by-step explanation:

Answer:

There isn't a hundredth decimal in the number 22.3

22.3  the three is a tenth but there is not a hundredth decimal

The probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

To find the probability of selecting an anglerfish on the next card, we need to calculate the ratio of the number of anglerfish cards to the total number of cards in the deck.

From the given information, Scarlett selected 2 anglerfish cards during her previous selections.

The total number of cards she selected is 2 + 3 + 1 + 4 + 5 = 15.

Therefore, the probability of selecting an anglerfish card on the next draw is 2/15.

Calculate the total number of cards Scarlett selected.

2 + 3 + 1 + 4 + 5 = 1

Calculate the number of anglerfish cards Scarlett selected.

Scarlett selected 2 anglerfish cards.

Calculate the probability of selecting an anglerfish card on the next draw.

Probability = Number of anglerfish cards / Total number of cards

Probability = 2 / 15

Probability ≈ 0.1333

Thus, the probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

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Answer:

151 is your answer of this question

Step-by-step explanation:

first youvshoud divide ()and multiply by 5

A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.

In the given question,

The confidence level = 99%

Given width = 0.5

Standard deviation of resistance(\(\sigma\))= 1.55

We have to find a big sample that should the experimenter take from the population and what happens if the standard deviation and the width of the confidence interval are both doubled.

The formula to find the a big sample that should the experimenter take from the population is

Margin of error(ME) \(=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\)

So n \(=(z_{\alpha /2}\frac{\sigma}{\text{ME}})^2\)

where n=sample size

We firstly find the value of ME and \(z_{\alpha /2}\).

Firstly finding the value of ME.

ME=Width/2

ME=0.5/2

ME=0.25

Now finding the value of \(z_{\alpha /2}\).

Te given interval is 99%=99/100=0.99

The value of \(\alpha\) =1−0.99

The value of \(\alpha\) =0.01

Then the value of \(\alpha /2\) = 0.01/2 = 0.005

From the standard table of z

\(z_{0.005}\) =2.58

Now putting in the value in formula of sample size.

n\(=(2.58\times\frac{1.55}{0.25})^2\)

Simplifying

n=(3.999/0.25)^2

n=(15.996)^2

n=255.87

n≈256

Hence, the sample that the experimenter take from the population is 256.

Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.

The new values,

Standard deviation of resistance(\(\sigma\))= 2×1.55

Standard deviation of resistance(\(\sigma\))= 3.1

width = 2×0.5

width = 1

Now the value of ME.

ME=1/2

ME=0.5

The z value is remain same.

Now putting in the value in formula of sample size.

n\(=(2.58\times\frac{3.1}{0.5})^2\)

Simplifying

n=(7.998/0.5)^2

n=(15.996)^2

n=255.87

n≈256

Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.

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Answer:

Hello! answer: coordinates of E' are (16, 4)

Step-by-step explanation:

4 × 4 = 16 4 × 1 = 4 therefore the new coordinates are (16, 4)

The coordinate of E after dilation is (16, 4).

It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle DEF has coordinates:

D = (3, 4)

E (4, 1)

F = (1, -2)

The coordinates are dilated with a scale factor of 4.

This means,

Multiply all the coordinates by 4.

Now,

D = (3 x 4, 4 x 4) = (12, 16)

E (4 x 4, 1 x 4) = (16, 4)

F = (1 x 4, -2 x 4) = (4 , -8)

Thus,

The coordinate of E is (16, 4).

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Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:

Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep

4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3

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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.

To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:

Calculate the circumference of the wheel:

The circumference of a circle is given by the formula

C = 2πr

where r is the radius of the wheel.

In this case, the radius is 30 inches, so the circumference is

C = 2π(30)

   = 60π inches.

Calculate the distance traveled in one revolution:

Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.

Calculate the distance traveled in one minute:

Multiply the distance traveled in one revolution by the number of revolutions per minute.

In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.

Convert the distance to miles per hour:

There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.

Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.

The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.

Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.

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The confidence interval 0.039 < p < 0.479 in the form of (p) hat ± E is 0.259 ± 0.22.

(p) is given by the sum of confidence divided by 2

(p) hat = sum of confidence interval / 2

The confidence interval is 0.039 < p < 0.479

(p) hat = ( 0.039 + 0.479 ) / 2

(p) hat = 0.518 / 2

(p) hat = 0.259

E =  margin of error

The margin of error is the difference in confidence divided by 2

E = Difference of confidence interval / 2

E = (0.479 - 0.039) / 2

E = 0.44 / 2

E = 0.22

(p) hat ± E = 0.259 ± 0.22

Hence the confidence interval 0.039 < p < 0.479 in the form of (p) hat ± E is  0.259 ± 0.22.

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Answer:

C

Step-by-step explanation:

Answer: No, 6 boxes will give you 288 penicils.

Step-by-step explanation: 1 box is 48 penicils, so if use this to the other boxes (4x48) we get 192. Now with six boxes (6x48) we get 288.

Given expression

\(\\ \rm\Rrightarrow T(t)=29-5cos\left(\cfrac{2\pi (t-12)}{365}\right)\)

Now

We know according to property of cosine function

This property is enough for our calculations

Let's check

As t represents no of days hence it can't be negative

So

for positive interval

We know that

Hence it's enough for our range [-1,1]

Now

In the expression

Let

\(\sf cos\left(\cfrac{2\pi(t-12)}{365}\right)=n\)

Substitute n for lowest and highest value of range

When n=-1

\(\\ \rm\Rrightarrow T(\pi)=29-5(-1)=29+5=34°C\)

When n=1

\(\\ \rm\Rrightarrow T(0)=29-5(1)=29-5=24°C\)

Answer:

Highest temperature: 34°C

Lowest temperature: 24°C

Explanation:

In a Normal Trigonometry Function: y = A + B sin(x) or y = A + B cos(x)

Maximum value: A + |B|

Minimum value: A - |B|

In this trigonometric function, A = 29, B = -5

Hence find minimum/maximum:

Maximum value: A + |B| = 29 + |-5| = 34

Minimum value: A - |B| = 29 - |-5| = 24

Hence, the maximum/highest temperature is 34°C and minimum/lowest temperature is 24°C in Karachi, Pakistan.

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Answer:

m = 44

Step-by-step explanation:

1/2m = 3/4(8) + 16                         when n = 8

1/2m = 6 + 16

1/2m = 22

m = 44

So, the answer is m = 44

Answer:

N

Step-by-step explanation:

Have a great day! Hope this helps :)