PLEASE HELP EASY A fair number cube is rolled twice. Determine whether each event is more or less likely than rolling the same number both times.
Select the correct button in the table to show the likelihood of each event.

Answer:

2/3

Step-by-step explanation:

1 and 2 are taken away, therefore you have 3, 4, 5, and 6 left as options to roll. So the answer is 4/6 since there's 4 numbers, but simplified it's 2/3.

Answer:

There are six possible outcomes when rolling a die, each of which is equally likely. Of these six outcomes, three are greater than 2 (3, 4, 5) and three are not (1, 2, 6). Therefore, the odds in favor of rolling a number greater than 2 are 3 to 3, or simply 1 to 1. Alternatively, we could express this as a probability: the probability of rolling a number greater than 2 is 3/6, or 1/2, since there are three favorable outcomes out of a total of six possible outcomes.

Step-by-step explanation:

Answer:

The answer is false. 2 is not congruent to 5.

Honestly, someone has a different answer but they have a whole paragraph so I think you should listen to what they say.

Answer:

True

Step-by-step explanation:

Same-side exterior angle converse theorem states that if two lines are intersected by a transversal and the same-side exterior angle are congruent, then the two lines are parallel. One can apply this theorem to the given case, and thus lines A and B are parallel.

We have

\(\dfrac{x^2}{x+1}=\dfrac{(x+1)^2-2(x+1)+1}{x+1}=(x+1)-2+\dfrac1{x+1}=x-1+\dfrac1{x+1}\)

So

\(\displaystyle\lim_{x\to\infty}\left(\frac{x^2}{x+1}-ax-b\right)=\lim_{x\to\infty}\left(x-1+\frac1{x+1}-ax-b\right)=0\)

The rational term vanishes as x gets arbitrarily large, so we can ignore that term, leaving us with

\(\displaystyle\lim_{x\to\infty}\left((1-a)x-(1+b)\right)=0\)

and this happens if a = 1 and b = -1.

To confirm, we have

\(\displaystyle\lim_{x\to\infty}\left(\frac{x^2}{x+1}-x+1\right)=\lim_{x\to\infty}\frac{x^2-(x-1)(x+1)}{x+1}=\lim_{x\to\infty}\frac1{x+1}=0\)

as required.

Answer:

Kindly check explanation

Step-by-step explanation:

Assuming a normal distribution :

Sample (x) :25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7

Null hypothesis : μ = 25

Alternative hypothesis : μ > 25

α = 0.05

Decision region :

Reject Null if :

t0 > t

t can be obtained from the t distribution table at : df = (n - 1) = 10 - 1 = 9 ; α = 0.05

Hence, t(0.05, 9) = 1.833

From the sample given ; t0

t0 = (m - μ) / (s /√n)

n = sample size = 10

s = sample standard deviation

m = sample mean

Using calculator :

25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7

Sample mean(m) = 26

Sample standard deviation (s) = 1.624

t0 = (26 - 25) / (1.624 /√10) = 1.947

1.947 > 1.833

Hence, reject Null

B)

Confidence interval at 90% ; α = 0.1

m ± t(0.1/2 ; 9) * s/√n

m - t * s/√n ≤ μ ≤ m + t * s/√n

26 - 1.833 * (1.624/√10) ≤ μ ≤ 26 + 1.833 * (1.624/√10)

25.059 ≤ μ ≤ 26.941

Answer:

slope = - 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + y = - 7 ( subtract x from both sides )

y = - x - 7 ← in slope- intercept form

with slope m = - 1

Parallel lines have equal slopes

then the slope of a line parallel to it is - 1

The correct graph is the last one (where the shaded region is on the right side)

Here we have the system of inequalities below:

y ≤ 1/2x+1

y > -2x+4

The first inequality is:

y ≤ 1/2x+1

Here we have a solid line with positive slope, and the shaded region is below that line.

The second inequality is:

y > -2x+4

This time we will have a dashed line with negative slope, and the shaded region must be above the line, then the correct option will be the last option.

(where the shaded region is on the right quadrant)

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Answer:

26

Step-by-step explanation:

8 * 2 + 10 = 26

The equation of line H in fully simplified slope-intercept form is y = 15x + 10.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First of all, we would find the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (40 - 10)/(2 - 0)

Slope (m) = 30/2

Slope (m) = 15.

At data point (0, 10) and a slope of 15, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 10 = 15(x - 0)

y = 15x + 10

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: d + 28

Step-by-step explanation:

Answer:

d+28

Step-by-step explanation:

it is easier to remeber that you should always flip the wording so for this on "d" would be first then add the 28

Step 1: To construct

The box plot for the given data.

Step 2 : Explanation

Box plots are a graphical tool used in statistics to show the concentration of data. They also demonstrate how far the extreme numbers differ from the majority of the data. The smallest value, the first quartile, the median, the third quartile, and the maximum value are used to create a box plot.

Use a horizontal or vertical number line and a rectangular box to make a box plot. The axis's ends are labelled by the smallest and largest data values. One end of the box is marked by the first quartile, while the other end is marked by the third quartile. Approximately half of the data is included within the box. From the box's ends to the smallest and greatest data values, the "whiskers" extend. The median or second quartile can be in the middle of the first and third quartiles, or it can be either one or the other.

The box plot's five numerical summaries are as follows:

# of movies Frequency Cumulative frequency

0 5 5

1 9 14

2 6 20

3 4 24

4 1 25

N=25

The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.

The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.

The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.

An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.

In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

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Answer:

B. x is less than or equal to 5

Step-by-step explanation:

The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to

In this case it is less than or equal to because the line goes to the left

Hope this helped!

Answer:

So 1/4th cup would be 97.5 calories

1 whole cup would make 390 calories so then just divide that by 4 and you have 97.5

Answer:

x = 1 or -2

Step-by-step explanation:

a denominator cannot be zero.

x - 1 = 0 at x = 1

x + 2 = 0 at x = -2

x² + x - 2 = 0 at (-1 ±√(1² - 4(1)(-2))) / (2(1)) = (-1 ± 3)/2 = 1 or -2 both of which we have found already.

==============================================================

Explanation:

The diameter is 24 inches, so the radius is half that at r = d/2 = 24/2 = 12 inches.

We'll use this along with the approximation pi = 3.14 to get the area

A = pi*r^2

A = 3.14*12^2

A = 452.16 square inches

Your teacher should have used "square inches" instead of "inches" as the unit.

We can abbreviate the "square inches" into "sq in" or "in^2".

This value is approximate since pi = 3.14 is approximate. Use more decimal digits of pi to find a more accurate value.

The exact area is 144pi

Answer:

D. 452.16 sq inches

Step-by-step explanation:

d = 24 ==> r = 24/2= 12 inches

the area = π×r²

= 3.14 × 12²

= 3.14 × 144

= 452.16 sq inches

Answer:

Step-by-step explanation:

4(4) = -7(-3) - 5

16 = 21 - 5

16 = 16

answer is D

Answer: (-3.4)

Step-by-step explanation: took test 6.02

Foundations wrap up Systems of Equations

Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

A Type I error occurs when the null hypothesis is rejected, even though it is true.

In this case, the null hypothesis states that a whole foods diet would not have any impact on general health.

Therefore, a Type I error would occur if Megan's results show significant improvements in health associated with a whole foods diet.

This means that Megan would reject the null hypothesis and conclude that a whole foods diet does have an impact on general health, even though it is not true.

So, the statement that would indicate a Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

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Answer:

7.02 x 10^1

Step-by-step explanation:

Answer:

7.02 * 10^1

Step-by-step explanation:

=109

Therefore, the package with 40 hooks is the better buy in terms of cost efficiency.

To determine which package is the better buy, we need to compare the cost per hook for each package.

For the package of 25 hooks costing $9.95, we divide the total cost by the number of hooks:

Cost per hook = $9.95 / 25 = $0.398

Rounding to the nearest cent, the cost per hook is $0.40.

For the package of 40 hooks costing $13.99, we divide the total cost by the number of hooks:

Cost per hook = $13.99 / 40 = $0.3498

Rounding to the nearest cent, the cost per hook is $0.35.

Comparing the two costs per hook, we can see that the package with 40 hooks for $13.99 offers a better deal, as the cost per hook is lower at $0.35.

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Answer:

x = 15.49

Step-by-step explanation:

As you can see this is a right-angled triangle due to the right angle symbol, we can use Pythagorean theory to find the unknown length:

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

In this case, we know C and B but not A so:

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

Now plug the values in:

\(a^2 = 16^2 - 4^2\)

\(a^2 = 256 - 16\)

\(a^2 = 240\)

Square root the answer to get A:

\(a = \sqrt{240}\)

a = 15.49

x = 15.49

Hope this helps!

The equation of the graphed function is y = x + 4, x ≥ 4 and y = x² + 3, x < 4

A similar question is added as an attachment

From the attached, we can see that the function types are:

Based on the list of options, we have:

Next, we look at the intervals (domain)

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Answer:

3. All you did was switch the numbers, so it will still equal the same :)

4. 8a and the other 8a cancel each other out, so since 8 has no variables, it ends up by itself.

The simplified fοrm οf the expressiοn is 1 - cοs2x.

Trigοnοmetry is the branch οf mathematics that studies the relatiοnship between the sides and angles οf a triangle, particularly a right-angled triangle. The relatiοnship is shοwn by the ratiο οf the sides, which are trigοnοmetric ratiοs. There are six ratiοs in trigοnοmetry: sine, cοsine, tangent, cοtangent, secant, and cοsecant.

We can simplify the expressiοn cοs2x−2cοs2x+1 as fοllοws:

cοs2x − 2cοs2x + 1

= (cοs2x - cοs2x) - 2cοs2x + 1 (using the identity cοs2x = cοs2x - cοs2x + 1)

= -cοs2x + 1

= 1 - cοs2x

Therefοre, the simplified fοrm οf the expressiοn is 1 - cοs2x.

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Answer: 540

Step-by-step explanation: because if he pays 45 bucks a month and a year equals 12 then ya do 45x12 and ya get 540

Answer:

Carl spends $540 per year on car insurance

Step-by-step explanation:

Carl pays $45 per month. There are 12 months in 1 year.

All we need to do is multiply the rate per month by the number of months to get our answer.

\(45*12=540\)

25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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The length of e is 29.53 inches.

In the following, the law of sine is presented in detail: In a triangle, the sine of angle A divided by side "a" equals the sine of angle B divided by side "b" equals the sine of angle C divided by side "c".

Given:

f= 33 inches

<F= 140, <D = 5

Now,

<E= 180 - (<F+ <D) = 180 - (140 + 5) = 35

Using Sine law

sin F / f = sin E/ e

sin 140 / 33 = sin 35 / e

0.642/ 33 = 0.573 / e

0.0194 e= 0.573

e= 29.53 inches

Hence, the length of e is 29.53 inches.

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The surface area of given triangular prism = 24 ft².

For the given triangular prism

Base = 2 ft

height = 3 ft

side = 3ft

We know that,

Surface area of triangular prism

= side x base + 3x base x height

=  3 x 2  + 3x2x3

= 6 + 18

= 24 ft²

Thus,

Surface area = 24 ft²

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