When a researcher wants to report the average cost of college tuition from the 1950s until present time, he or she enlists _______ statistics.a) Inferentialb) Descriptivec) Correlationald) Predictive

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

A = 5 \(\frac{5}{6}\) ft²

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height ) , then

A = \(\frac{1}{2}\) × 5 × 2 \(\frac{1}{3}\) ← convert to improper fraction

   = \(\frac{5}{2}\) × \(\frac{7}{3}\)

   = \(\frac{5(7)}{2(3)}\)

   = \(\frac{35}{6}\)

   = 5 \(\frac{5}{6}\) ft²

The disadvantages of the mode are: For many sets of data there is no mode.

The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.

However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.

The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.

The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.

The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.

The correct option is: For many sets of data there is no mode.

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Answer:

            4  to  1

Step-by-step explanation:

                                                Tablespoon of cocoa   to Tablespoon of sugar

                                                                          8             :                2

                                                                          \(\frac{8}{2}\)              :                \(\frac{2}{2}\)

                                                                          4             to                1

When recipe is doubled:                             ( 8 x 2)         to        (2 x 2)

                                                                         16             :              4

                                                                         \(\frac{16}{4}\)             :               \(\frac{4}{4}\)

                                                                          4           to              1

It can be observed that the ratio remains the same

Answer:On a scale drawing of a steel I-beam , the height of the beam is 2 1/2 in. The scale is 1/4 in = 6 feet. What is the actual height of the I-beam. \(12\)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The answer is the orange one because pie * radius^2 leads to the area of the circl.e

Answer:

(a) The function has a minimum value

(b) The minimum value is 2

Step-by-step explanation:

(a)Currently y = x^2 + 4x + 6 is in standard form, whose general equation is

y = ax^2 + bx + c.  

We know that for our function a = 1.

Thus, y = x^2 + 4x + 6 must have a minimum value.

(b) Whenever a problem asks for the minimum value, it's asking for the y-coordinate of the minimum.

Step 1:  First we can find the x-coordinate of the minimum using the equation -b/2a from the quadratic formula.  

Plugging in 4 for b and 1 for a, we get:

x-coordinate of minimum = -4 / 2(1)

x-coordinate of minimum = -4 / 2

x-coordinate of minimum = -2

Step 2:  Now we can plug in -2 for x in the quadratic function.  The result will be our minimum value:

f(-2) = (-2)^2 + 4(-2) + 6

f(-2) = 4 - 8 + 6

f(-2) = -4 + 6

f(-2) = 2

Thus, the minimum value of the quadratic function is 2.

The mean and standard deviation of the sampling distribution of the sample mean (average) of the SAT math scores are:

(b) Mean = 515, SD = 114/√100

The mean of the sampling distribution of the sample mean is equal to the population mean (515), because the expected value of the sample mean is equal to the population mean. The standard deviation of the sampling distribution of the sample mean is called the standard error, and it is equal to the population standard deviation divided by the square root of the sample size (114/√100).

The result (b) is determined based on the central limit theorem, which states that as the sample size increases, the distribution of the sample mean approaches a normal distribution with mean equal to the population mean and standard deviation equal to the population standard deviation divided by the square root of the sample size.

In this case, the population mean is 515 and the population standard deviation is 114, so the standard deviation of the sampling distribution of the sample mean is equal to 114/√100. This result can be mathematically proven using the formula for the standard deviation of the sample mean:

SD of sample mean = σ/√n, where σ is the population standard deviation and n is the sample size.

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Hello!

y = 88° (opposite are equal)

z = 180° - 128° = 52° (straight angle = 180°)

x = 180° - 140° = 40° (straight angle = 180°)

Answer:

x=40°

y=88°

z=52°

Step-by-step explanation:

Solution Given:

x+140°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for x.

x=180°-140°

x=40°

\(\hrulefill\)

y°=88°

Since the vertically opposite angle is equal.

therefore, y=88°

\(\hrulefill\)

z+128°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for z.

z=180°-128°

z=52°

Answer:

2π(x+y+z)

is the factorization

Answer: We can use the hydrostatic pressure formula to determine the pressure difference PA - PB:

ΔP = ρgh

where ΔP is the pressure difference, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height difference between the two points.

First, we need to determine the heights of the fluid columns in pipes A and B. Since oil with specific gravity 0.8 is in the upper position of the inverted U, it is higher in pipe B than in pipe A. Let's say that the height of the oil column in pipe B is hB and the height of the oil column in pipe A is hA.

Since mercury with specific gravity 136 is in the bottom of the manometer bends, the height difference between the two points is the height difference between the mercury columns in the two legs of the manometer. Let's say that the height of the mercury column in the left leg is hL and the height of the mercury column in the right leg is hR.

Then, we can write:

hB - hL = hR - hA

Since the pressure at point A is equal to the atmospheric pressure, we can set the pressure at point A to be zero. Then, we have:

PA - PB = ρoilghB - ρoilghA + ρmercuryg(hR - hL)

Substituting the densities and simplifying, we get:

PA - PB = (0.8)(9.81)m(hB - hA) + (136)(9.81)m(hR - hL)

where m is the mass of the fluid column in each pipe.

We don't have enough information to determine the heights of the fluid columns or the mass of the fluid columns, so we cannot calculate the pressure difference PA - PB without further data.

Step-by-step explanation:

By using the concept of arithmetic series, it can be calculated that

Explicit form of the given arithmetic series is

\(a_n =22 - 7n\)

What is arithmetic series?

A series of number is said to be in arithmetic progression, if the difference between the consecutive terms of the series are same.

If a is the first term of the series and d is the common difference of the series, the nth term of the series is calculated by the formula

\(a_n = a + (n-1)d\)

Here f(1) = 15

Common difference d = -7

Let the nth term be \(a_n\)

\(a_n = 15 + (n - 1)(-7)\\a_n = 15 -7n + 7\\a_n = 22 - 7n\)

Explicit form of the given arithmetic series is

\(a_n =22 - 7n\)

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Since we do not know the value of u, we cannot find the time taken by the basketball to travel a distance of 8.5 meters. We cannot find the height of the basketball at its highest point.

Given that n(x) = 3 for 8 < x < 8.5.It is impossible to determine whether the shot will be made or not based solely on this information. Winning the playoffs depends on various factors, such as the score, time remaining, and the overall performance of the team.

Therefore, additional information is required to determine the outcome of the playoffs.However, to find the height of the basketball at its highest point, we need to know the equation of the trajectory of the basketball.

Assuming that the basketball follows a parabolic path, we can use the formula:

y = ax² + bx + c,

where y is the height of the basketball, and x is the horizontal distance traveled by the basketball.

To find the values of a, b, and c, we need to know three points on the trajectory of the basketball. Let's assume that the basketball is thrown from a height of 1.5 meters and lands on the floor after traveling a horizontal distance of 8.5 meters.

Therefore, the points on the trajectory of the basketball are:

(0, 1.5), (8.5/2, h), and (8.5, 0),

where h is the height of the basketball at its highest point.Substituting these values in the equation of the trajectory,

we get:

1.5 = a(0)² + b(0) + c...(1)0 = a(8.5)² + b(8.5) + c...(2)h = a(8.5/2)² + b(8.5/2) + c...(3)

Simplifying equations (1) and (2),

we get:

c = 1.5...(4)b = -a(8.5)²/8.5...(5)

Substituting equation (4) in equation (3), we get:

h = a(8.5/2)² + b(8.5/2) + 1.5h = a(8.5/2)² - a(8.5)²/8.5 + 1.5h = -29.375a + 1.5

Substituting the value of a from equation (5) in the above equation,

we get:

h = -29.375(-a(8.5)²/8.5) + 1.5h = 0.5a(8.5)² + 1.5

Therefore, to find the height of the basketball at its highest point, we need to find the value of a. Since we know that the basketball lands on the floor after traveling a horizontal distance of 8.5 meters,

we can use the formula:

x = ut + 0.5at²,

where u is the initial horizontal velocity of the basketball, and t is the time taken by the basketball to travel a distance of 8.5 meters.

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Answer:

(- 3, - 4 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(3, - 4 ) → (- 3, - 4 )

Answer:

2/10

Step-by-step explanation:

The are 10 tiles

There are 2 that are green and odd ( 3 and 5)

P ( green and odd) = green and odd/total

                               =2/10

                                =1/5

The point (2,-4) satisfies y < 3x - 6

This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It can be simplified, evaluated, or manipulated using algebraic rules and properties.

Let x be the number of miles Mr. Smith drove. Then, the number of miles Mr. Stein drove is \(140 - x\)  , since they drove a total of 140 miles and Mr. Smith already drove x miles.

the algebraic expression for how many miles Mr. Stein drove is:

\(140 - x\)

Therefore, This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

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Answer:

The square root of 50 is approximately 7.07.

Answer:

7.07106781187...

Step-by-step explanation:

its an irrational number

Henry's chances of getting a second turn when he rolls the number cubes are 1/9 or approximately 11/18.

To find Henry's chances of getting a second turn when he rolls the number cubes, we need to find the probability of rolling an even number less than 10.

First, let's find the total number of possible outcomes when rolling two number cubes. Each cube has 6 possible outcomes (1, 2, 3, 4, 5, or 6), so the total number of possible outcomes is 6 x 6 = 36.

Next, let's find the number of outcomes that meet the criteria for a second turn (even number less than 10). We can list out all the possible outcomes that meet these criteria:

2 (1+1)

4 (1+3 or 2+2)

6 (1+5 or 2+4 or 3+3)

8 (2+6 or 3+5 or 4+4)

So, there are 4 outcomes that meet the criteria for a second turn.

To find the probability, we divide the number of favourable outcomes (4) by the total number of possible outcomes (36).

4/36 = 1/9

So Henry's chances of getting a second turn when he rolls the number of cubes are 1/9 or approximately 11/18.

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Answer: 2756 cubic inches

Step-by-step explanation:

Well, first calculate the rectangular prism: 11 x 11 x 16 = 2304

Then the cylinder: pi x 4(sqrd) x 9 = about 452

then add them together

I hope this helps! :)

Answer:

22

Step-by-step explanation:

Plugging the numbers into the equation, we get 10^2+20^2=c^2

10^2 is 100, and 20^2 is 400

400 + 100 is 500

find the square root of that, which is exactly 22.36068 but the problem says to round to the nearest whole number, so the answer is 22.

Answer:

22 ft

Step-by-step explanation:

a² + b² = c²

10²+20²= c²

c= (square root of) 100+ 400

c= 22.36

Answer: c

Step-by-step explanation:

Answer: 2nd from the botttom

Step-by-step explanation:

Solving the inequality, we get \(m \geq 7\), which matches with the third graph.

Answer:

A

Step-by-step explanation:

For a right triangle

\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)

This is the same as the other triangle because they are the same size because of congruency

Area of the rectangle

\(a^2+b^2=c^2\\\)

\(\sqrt{(10.4^2+15.3^2} =c\)

\(c= 18.5\)

18.5 x 7 = 129.5

Add them all up

129.5+79.56+79.56= 288.62

Answer:

14.6 minutes

Step-by-step explanation:

Since there is a 1 ms increase per day and there are 365 days a year, the time increase per year is 1 ms/day × 365 days/year = 365 ms/year.

So, in 24 centuries, there are 24 × 1 century = 24 × 100 years = 2400 years (since  1 century = 100 years)

So, the total of the daily increase in time in 24 centuries is time increase per year × 24 centuries

= 365 ms/year × 2400 years

= 876000 ms

= 876 s

= 876 s/60s

= 14.6 minutes

Answer:

Hello! The answer is 1.5

The area of the given right-angle triangle will be 1.5 unit².

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°.

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

Given the tringle with,

Base =1.5 unit

Hypotaneous = 2.5 unit

By Pythagoras theorem

Perpendicular² = (Hypo² - Base²)

Perpendicular² =  2.5² - 1.5²

Perpendicular = 2 units.

Now the area of the right-angle triangle is

⇒  (1/2) × base × height.

Area = (1/2) × 1.5 × 2 ⇒ 1.5 unit²

Hence the area of the given triangle will be 1.5 unit².

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Answer:

(-0.5, -0.5)

Step-by-step explanation:

Let the coordinates of the point P in quadrant 3 are (x, y).

If a point A is 3 units apart, coordinates of point P will be [(x - 3), y].

From the figure attached,

Coordinates of the point A are (2.5, -0.5).

x coordinate of point P → (2.5 - 3) = -0.5

y coordinate of the point P → (-0.5) = -0.5

Therefore, point P which is 3 units apart from A will be (-0.5, -0.5)

Answer:

0.5,0.5

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Dividing 4 by 9:

9)4.0000(0.444

   36

      40

       36

          40

           36

              4

So it's 0.444....      ( 0.4 recurring).

Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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