2. The temperature in Indianapolis, Indiana, at 5:00 A.M. was 15 °F. If the temperature drops 2 degrees each hour, what is the temperature in degrees Fahrenheit at 2:00 PM? A. 17°F B. -17°F C. -14°F D. 32°F

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

The slope of the graph of y = f(x) is 3

The y-intercept of the line = -5

Equation for the line in slope - intercept form is y = 3x - 5

Given table of linear function is:

x     |    y

-2      -11

-1        -8

0       -5

1        -2

2         1

3        4

Slope = Change in y values/ Change in x-values

          = -8 --11/-1--2 = 3

Also -5 --8/0--1 =3, -2--5/1-0 = 3, 1--2/1-0 = 3, 4-1/3-2 = 3

So the slope is constant and is m = 3.

y-intercept is the y-value corresponding to when x = 0.

Here, when x = 0, y = -5.

So the y-intercept, c = -5

The equation for the linear function in slope-intercept form is,

y = mx + c , where m is the slope and c, the y-intercept of the function.

So here, the slope-intercept form of the function is,

y = 3x - 5

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Answer:

the second option from the top

Step-by-step explanation:

remember that the quadratic formula is \(\frac{-b+-\sqrt{b^2-4ac}}{2a}\)

and the standard format of a quadratic is \(ax^2+bx+c=0\)

Answer:

-2<=y<=-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

since the base angles of a triangle are equal the given triangle an isosceles triangles.

therefore side x is also 9 because the two sides of an isosceles triangle is equal.

Now for side y

using pythagoras theorem

a^2 + b^2 = c^2

9^2 + 9^2 =y^2

81 + 81 = y^2

162 = y^2

\(\sqrt{162}\) = y

\(9\sqrt{2}\) =y

The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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Using the uniform distribution, it is found that there is a 0.25 = 25% probability that the next fracture will occur in the last half mile of the two mile interval.

The uniform distribution has two bounds, a and b.  

The probability of finding a value above x is:

\(P(X > x) = \frac{b - x}{b - a}\)

In this problem, the distribution is uniform over 2 miles, thus \(a = 0, b = 2\).

The probability of a failure on the last half-mile is P(X > 1.5), thus:

\(P(X > 1.5) = \frac{2 - 1.5}{2 - 0} = 0.25\)

0.25 = 25% probability that the next fracture will occur in the last half mile of the two mile interval.

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Answer:

x = 15

Step-by-step explanation:

if A and B were parallel then 10x and 8x + 30 are alternate exterior angles and are congruent , that is

10x = 8x + 30 ( subtract 8x from both sides )

2x = 30 ( divide both sides by 2 )

x = 15

for A and B to be parallel then x = 15

Given data:

The given equation is c+(4-3c)-2=0

The given equation can be written as,

c+4-3c-2=0

-2c+2=0

-2c=-2

c=1

Thus, the value of c is 1, so option C) is correct.

Answer:

it will be 4loss a dollar

Step-by-step explanation:

10-6

= 4

Answer:

lolvv did fgggggtfffgcc

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Number is 280.

Say that the numberwe're looking for is "x". Now, to get a 7.5% of a number, you must multiply the number by "0.075"If we try to write this operation with our "x" variable, it'll look like this:

\(0.075x=21\)

Now, let's solve this equation.

\(\frac{0.075x}{0.075} =\frac{21}{0.075} \\ \\x=280\)

Let's go ahead and calculate 7.5% of the number we just calculated, to see if it equals 21:

\(280*0.075=21\)

That's correct. The answer is 280.

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Through reporting statistical results, we found that  \(r^{2}\) is 0.22 and Cohen's \(d\) is 0.52 when s = 8, and  \(r^{2}\) is 0.04 and Cohen's \(d\) is 0.21 when s = 20. It is also observed that when the variability of the scores in the sample, \(r^{2}\) decreases, there is simultaneous decrease in the measures of effect size, Cohen's \(d\) as well.

It is given to us that -

A random sample of n = 16 scores

Population with a mean of μ = 45

Sample mean is found to be M = 49.2

In Reporting Statistical results, there are two different effect sizes, namely eta-squared \(r^{2}\) and Cohen's \(d\).

Eta-square, \(r^{2} = \frac{t^{2} }{t^{2}+df }\)

where, \(df = n-1\)

\(SEM = \frac{s}{\sqrt{n} }\)

and, \(t=\frac{x_{2} -x_{1} }{SEM}\)

Cohen's \(d=\frac{x_{2} -x_{1} }{s}\)

a) Given that the sample standard deviation is s=8

We have n = 16

So, \(df = n-1 = 16-1 = 15\)

\(SEM = \frac{s}{\sqrt{n} } = \frac{8}{\sqrt{16} } = \frac{8}{4} = 2\)

We also have μ = 45 and M = 49.2. This implies

\(t=\frac{x_{2} -x_{1} }{SEM} = \frac{49.2-45}{2} = \frac{4.2}{2} =2.1\)

Now,

\(r^{2} = \frac{t^{2} }{t^{2}+df } = \frac{(2.1)^{2} }{(2.1)^{2}+ 15 }= \frac{4.41}{4.41+15} \\= \frac{4.41}{19.41} = 0.22\)

Cohen's \(d=\frac{x_{2} -x_{1} }{s} = \frac{49.2-45}{8} = \frac{4.2}{8} = 0.52\)

b) Given that the sample standard deviation is s=20

We have n = 16

So, \(df = n-1 = 16-1 = 15\)

\(SEM = \frac{s}{\sqrt{n} } = \frac{20}{\sqrt{16} } = \frac{20}{4} = 5\)

We also have μ = 45 and M = 49.2. This implies

\(t=\frac{x_{2} -x_{1} }{SEM} = \frac{49.2-45}{5} = \frac{4.2}{5} =0.84\)

Now,

\(r^{2} = \frac{t^{2} }{t^{2}+df } = \frac{(0.84)^{2} }{(0.84)^{2}+ 15 }= \frac{0.706}{0.706+15} \\= \frac{0.706}{15.706} = 0.04\)

Cohen's \(d=\frac{x_{2} -x_{1} }{s} = \frac{49.2-45}{20} = \frac{4.2}{20} = 0.21\)

c) Comparing a and b, we see that the variability of the scores in the sample, \(r^{2}\) is 0.22 when s = 8 and \(r^{2}\) is 0.04 when s = 20. Similarly, Cohen's \(d\) is 0.52 when s = 8 and \(d\) is 0.21 when s = 20.

Thus, we can see that when the variability of the scores in the sample, \(r^{2}\) decreases, there is simultaneous decrease in the measures of effect size, Cohen's \(d\) as well.

Therefore, through reporting statistical results, we found that  \(r^{2}\) is 0.22 and Cohen's \(d\) is 0.52 when s = 8, and  \(r^{2}\) is 0.04 and Cohen's \(d\) is 0.21 when s = 20. It is also observed that when the variability of the scores in the sample, \(r^{2}\) decreases, there is simultaneous decrease in the measures of effect size, Cohen's \(d\) as well.

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Answer:

Step-by-step explanation:

Adults = x, Children =y

3y=x

Considering the given graph, the meaning of point A is given by:

A can with an 11 cm diameter has an 18 cm height.

The graph gives the height of the can as a function of the diameter. Both measures are in cm. Then, the axis are given as follows:

Point A has coordinates (11,18), that is, x = 11, y = 18, hence the interpretation is:

A can with an 11 cm diameter has an 18 cm height.

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Answer:

A

Step-by-step explanation:

just took the quiz and can confirm the other guy is valid :D

Answer:

The volume of the square prism is equal to the volume of the cylinder.

Step-by-step explanation:

As per the information depicted the volume of the square prism is equal all to the volume of the cylinder. Hence option C is correct.

A square prism is thee dimensional cuboid with a base and the top has an equal square while the remaining four faces have a rectangle and the opposite side angles of the square prism are congruent and parallel to each other.

As a square prism have the least two lengths that are equal to each other. Hence the volume of the square prism is equal to the volume of the cylinder as they have the same height and area of cross-section.

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From the the data and information given in the question, we are asked to write an inequaity that desribes the possible Height (in inches of the triangle.

So, given:

Jim is making a pennant in the shape of a triangle for his senior class photo.

Base of triangle = 8 in

Area of triangle ≤ 36 in²

Let height of the triangle be h

recall that the area of triangle:

Area of triangle = 1/2 * base * height

1/2 * 8 * h ≤ 36

4h ≤ 36

divide both sides by 4

h ≤ 36/4

h ≤ 9 inches.

Therefore, the height of the triangle must be at most or ≤ 9 inches.

Answer:

nine

Step-by-step explanation:

As per the given data, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

In mathematics, the intersection of two sets is a set containing all elements that are members of both sets.

In symbols, the intersection of two sets A and B is denoted by A ∩ B, and it contains all elements that belong to both A and B.

The intersection of two sets contains only the elements that are present in both sets. In this case,

R ∩ S = {x | x > 0 and x < 3}

The integers that are present in this set are 1 and 2.

Therefore, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

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The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.

To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:

r = √(x² + y²)

θ = tan^⁻1(y/x)

Plugging in the given values of (-√2,1), we get:

r = √((-√2)² + 1²) = √(2 + 1) = √3

θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians

Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:

θ ≈ 2.0344 + π ≈ 5.1779 radians

Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).

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∠X = 89°, ∠Y = 90°, ∠Z = 40° ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°

→ (2b+6)+(3b-1)=90----> 5b+5=90----> 5b=85----> b=17°

→ ∠Z=2b+6---- 2*17+6-----> ∠Z=40°

→ ∠Y=3b-1---> ∠Y=3*17-1---> ∠Y=50°

angle Y and W are supplementary angles

so

→ ∠Y+∠W=180---------> ∠W=180-∠Y------> ∠W=180-50----> ∠W=130°

angle X and Z are supplementary angles

so

→ ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°

Therefore, the answer is

Answer:

alpha=0.01

Step-by-step explanation:

confidence level = 1 - alpha

so alpha = 1 - confidence level = 1 - 0.99 = 0.01

In statistics, alpha represents the value that checks the test statistic in order to determine if it is significant or not. In other words, alpha is the acceptable margin of type 1 error. Alpha is also called the significance level, which opposes the confidence level. Significance level + confidence level = 1.

The value of x in when we equate the functions f(x) = g(x) is 0

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).

A function in mathematics is a special relationship among the inputs (i.e. the domain) and their outputs (known as the codomain) where each input has exactly one output, and the output can be traced back to its input. A function is an equation for which any x that can be put into the equation will produce exactly one output such as y out of the equation. It is represented as; y = f(x)

Where x is an independent variable and y is a dependent variable.

In the question given;

f(x) = g(x)

7(2.5)x = 52(1.5)x

Solving for x

x = 0; This is because they both cancel each other out.

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the answer that you're looking for is 5.5 or 5 1/2, it's the same thing.