How many of the following statements are true?

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Explanation:

E = event space = {1}

The event space is the set of things we want to happen. There's only one outcome and it's the "1" (since it's smaller than 2)

S = sample space = {1,2,3,4,5,6}

There are 6 items in the sample space.

Divide the two counts to get the fraction 1/6 which is the probability of rolling a result less than 2. In other words, the probability of landing on "1" is 1/6 since there's one face with that label out of 6 faces total.

Side note: 1/6 = 0.1667 = 16.67% approximately

The 98% confidence interval is (433.5866,854.6934)

What is a confidence interval?

A confidence interval (CI) for an unknown parameter in frequentist statistics is a range of estimations. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals. The fraction of related CIs over the long run that actually contains the parameter's true value is what is meant by the confidence level.

Given n = 14

Mean x = 644.14

standard deviation is s = 297.29

here α= 0.02

t(α</2,-1) = 2.65

The 98% confidence interval for mean is given by

z = x'- u / α(/√n) = (23-24/5.5/√5) =

x'-u / α(/√n) ≤ µ ≤ x'+u / α(/√n)

⇒(433.5866≤µ≤854.6934)

Hence, The 98% confidence interval is (433.5866,854.6934)

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any perpendicular bisector of one of the sides".

We can define a line of reflection as the line in which a shape is reflected, or we can say that it is the mirror in which the shape is reflected. The line of reflection is the perpendicular bisector of any pair of corresponding points. If you want to join sets of corresponding points on the object and image, then

Step-by-step explanation:

\(\frac{2a}{a^2+2a+1}+\frac{5}{a^2+4a+3}\)

Factor the denominators.

\(\frac{2a}{\left(a+1\right)^2}+\frac{5}{\left(a+1\right)\left(a+3\right)}\)

Adjust fractions based on LCM.

\(\frac{2a\left(a+3\right)}{\left(a+1\right)^2\left(a+3\right)}+\frac{5\left(a+1\right)}{\left(a+1\right)^2\left(a+3\right)}\)

Denominators are same, so add the fractions.

\(\frac{2a\left(a+3\right)+5\left(a+1\right)}{\left(a+1\right)^2\left(a+3\right)}\)

Expand the numerator.

\(\frac{2a^2+11a+5}{\left(a+1\right)^2\left(a+3\right)}\)

Answer:

\(= \frac{2 {a}^{2} + 11a + 5}{ {(a + 1)}^{2}(a + 3)} \\ \)

Step-by-step explanation:

\( \frac{2a}{ {a}^{2} + 2a + 1} + \frac{5}{ {a}^{2} + 4a + 3 } \\ \frac{2a}{(a + 1)(a + 1)} + \frac{5}{(a + 1)(a + 3)} \\ \frac{2a}{ {(a + 1)}^{2} } + \frac{5}{(a + 1)(a + 3)} \\ \frac{2a(a + 3) + 5(a + 1)}{ {(a + 1)}^{2}(a + 3) } \\ \frac{2 {a}^{2} + 6a + 5a + 5 }{ {(a + 1)}^{2}(a + 3)} \\ = \frac{2 {a}^{2} + 11a + 5}{ {(a + 1)}^{2}(a + 3)}\)

An equation to represent the relationship between miles driven (y) and gallons of gas (x) used is \(28=ky\)

Given the following data:

Distance = 28 miles

To write an equation to represent the relationship between miles driven (y) and gallons of gas (x) used:

In this exercise, we would assign a variable to the parameters stated in the question in order to write an equation to represent the relationship between miles driven (y) and gallons of gas (x) used by Weston’s car during the trip.

Also, the amount of gas used up by a car is directly proportional to the distance traveled by the car. Mathematically, this is given by this expression:

\(x\; \alpha \;y\\ \\ x=ky\)

Substituting the given parameters into the formula, we have;

\(28=ky\)

Note: k is the constant of proportionality.

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Answer:

x = 5; m<1 = 69

Step-by-step explanation:

We know that the two angles with degrees 20x+11 and 25x-14 are vertical angles and are thus congruent or equal.  Therefore, we can set the two angles equal to each other to find x:

\(20x+11=25x-14\\20x+25=25x\\25=5x\\5=x\)

If we plug in x into any of the two angles, we find the measure of both angles is 111.

The most probable relationship between angle 1 and the other two angles is supplementary, which means that the measure of angle 1 and any of the two angles beside it is 180.

To find m<1, represented as x, we can use the equation:

\(180=20(5)+11+x\\180=111+x\\69=x\)

Answer:

The answer is 20pi

Step-by-step explanation:

perimeter of a semicircle = pi* radius

perimeter of first semicircle = 5.pi

perimeter of second semicircle = 5.pi

perimeter of third semicircle = 10. pi

total perimeter = 5pi +5pi + 10pi

= 20pi

Answer:

Tech 9 rock and no answer

Step-by-step explanation:

Answer:

74 I believe

180 - 32 = 148

148/2 = 74

Hope this helps!

Answer:

\(x + x + 32 = 180(sum \: of \: inside \: the \: triangle \: is180) \\ 2x = 180 - 32 \\ x = \frac{148}{2} \\ x = 74\)

The circumference of the circle is 26.4 cm and the area of the circle is 55.3896 cm².

The circumference and area of a circle of radius 4.2 cm can be calculated using the following formulas:

Circumference = 2πr, where r is the radius of the circle and π is a constant approximately equal to 3.14.

Area = πr², where r is the radius of the circle and π is a constant approximately equal to 3.14.

Circumference = 2πr = 2 × 3.14 × 4.2 cm = 26.4 cm

Area = πr² = 3.14 × (4.2 cm)² = 55.3896 cm²

Given the radius of the circle as 4.2 cm, the circumference of the circle can be found by using the formula for the circumference of a circle. The circumference of a circle is the distance around the circle and is given by the formula C = 2πr, where r is the radius of the circle and π is a constant approximately equal to 3.14. By substituting the given value of r, the circumference of the circle is calculated as follows:

Circumference = 2πr = 2 × 3.14 × 4.2 cm = 26.4 cm

Similarly, the area of the circle can be found by using the formula for the area of a circle. The area of a circle is given by the formula A = πr², where r is the radius of the circle and π is a constant approximately equal to 3.14. By substituting the given value of r, the area of the circle is calculated as follows:

Area = πr² = 3.14 × (4.2 cm)² = 55.3896 cm²

Therefore, the circumference of the circle is 26.4 cm and the area of the circle is 55.3896 cm².

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When creating a confidence interval for the mean in a (B) t-distribution, the number of standard deviations needed is determined using the following distribution.

Any member of the family of continuous probability distributions known as the Student's t-distribution (or simply the t-distribution) in probability and statistics is used to estimate the mean of a normally distributed population when the sample size is small and the population's standard deviation is unknown.

The following distribution is used to calculate the number of standard deviations required for our confidence interval when doing a confidence interval for the mean in a t-distribution.

The Student's t-test for determining the statistical significance of the difference between two sample means, the construction of confidence intervals for the difference between two population means, and linear regression analysis are just a few commonly used statistical analyses that make use of the t-distribution.

Therefore, when creating a confidence interval for the mean in a (B) t-distribution, the number of standard deviations needed is determined using the following distribution.

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Correct question:
When we do a confidence interval for the mean, we use the following distribution to determine the number of standard deviations needed for our confidence:

a. z-distribution

b. t-distribution

c. Chi-Square distribution

d. skewed distribution

The length of the diagonals in a rectangle is the same, the biconditional statement that the length of the diagonals in a rectangle are equal is true.

A biconditional statement about the diagonals of rectangles is that the length of the diagonals are equal. This statement is justified by the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two perpendicular sides is equal to the square of the hypotenuse.

Using this theorem, we can calculate the length of the diagonals in a rectangle. To do this, let’s consider a rectangle with sides a and b. Then, the length of the hypotenuse is the length of the diagonal. Using the Pythagorean Theorem, we can calculate the length of the diagonal as follows: \(c^2 = a^2 + b^2\). Solving for c, we get \(c = sqrt(a^2 + b^2\)).

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Answer:

Animal books make up (3/20) of all books

Step-by-step explanation:

Let X be the total number of books, made up of nonfiction, animal, and all others.

(3/5)X are nonfiction books.

Of the nonfiction books, 1/4 are animal books:  (3/5)*(1/4)X = (3/20)X are animal books

[This means that Nonfiction, less animal books is:  (3/5)X - (3/20)X]

Animal books make up (3/20) of all books.

Coordinates are a set of numbers that determine the position of a point in a particular space or on a particular surface.

The coordinates of a point are usually expressed as a set of two or three numbers (depending on the dimension of the space). In the context of a checkpoint, the coordinates would represent the exact location of that checkpoint.  

To determine the coordinates of a checkpoint, you would need to use a mapping tool or GPS device that is capable of providing accurate location data. The coordinates may be expressed in different formats such as decimal degrees or degrees, minutes, and seconds, depending on the tool or system being used.

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After 75 minutes, a sample of 280 grams of radioactive goo has decayed to 17.5 grams. The half-life of the radioactive is 18.75 minutes.

The problem can be solved using decay model. The formula of decay system is given by:

Nt = No . e^(-λ . t)

Where:

Nt = quantity at time t

No = initial quantity

λ = decay constant = ln(2) / T

T = half life

The above formula can be rearranged to:

T = t . ln(2) / [ln(No/Nt)]

Parameters given in th problem:

No = 280 grams

t = 75 minutes

Nt = 17.5 grams

Plug these parameters into the formula:

T =  75 . ln(2) / [ln(280/17.5)]

  = 18.75 minutes

Hence, the half-life of the radioactive goo is 18.75 minutes.

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Answer:

1 Year = 8760 hours

2 Years = 17520 hours

3 Years = 26280 hours

4 Years = 35040 hours

5 Years = 43800 hours

6 Years = 52560 hours

7 Years = 61320 hours

8 Years = 70080 hours

9 Years = 78840 hours

10 Years = 87600 hours

11 Years = 96360 hours

12 Years = 105120 hours

13 Years = 113880 hours

14 Years = 122640 hours

Step-by-step explanation:

Multiply the time value by 8760  

Hope this helped :D

Given:

There are 5 numbers followed by 2 letters.

Solution:

To find the answer, we will have a plate number that consists of 5 numbers followed by 2 letters. In that 5 numbers, each place has 10 choices-from 0 to 9. It will be: 10 * 10 * 10 * 10 * 10 = 100,000 .

Now, for the letters, there are 26 letters in the alphabet. We have two places for the letters and each place have 26 choices-from A to Z that will give us: 26 * 26 = 676

We will now multiply the acquired data for both the numbers and letters to arrive at the correct answer.

100,000 * 676 = 67,600,000

ANSWER: 67,600,000 possible license plates

Answer:

120 fluid ounces

Step-by-step explanation:

1 cup = 8 fluid oz

Multiply 15 on both sides (since there is 3 pitchers and each is 5 cups, so 3 * 5 = 15 cups in total for all 3 pitchers) and we get 15 cups = 120 fluid oz.

So that's our answer

Hope this helped!

[I know this is a bit rude asking, but can I please have a Brainliest?]

√π is to the left of √76, indicating that √76 is greater in value and positioned farther to the right on the number line compared to √π.

On a number line, the square root of π (√π) is approximately 1.772, while the square root of 76 (√76) is approximately 8.717.

Plotting these points on the number line, we can see that √π is positioned closer to zero, around 1.772, while √76 is located further to the right, around 8.717.

In relation to each other, √π is significantly smaller than √76. The distance between them on the number line is quite substantial, with √76 being approximately 7 times larger than √π.

Determining that √76 is more valuable and is located further to the right on the number line than,√π is to the left of √76.

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All the students are paid equal amount of $270. Therefore, no oneis paid more.

For student A, the amount paid for 20 hours will be:

= (67.50 / 5) × 20

= 13.50 × 20

= $270

For student B, the amount paid for 20 hours will be:

= (189/14) × 20.

= $270

For Student C, the amount paid for 20 hours will be:

p = 13.5h

where h = number of hours

p = 13.5 × 20 = $270

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Answer:

D yeyeyeye! <3

We have to calculate the area of the table:

Area of a circle:

π x radius^2

Give

Answer:

Step-by-step explanation:

A container with:

Use the equation for total surface area of cylinder:

Since we have r = h and the value of S is known, let's solve this equation:

Answer:

ANSWER: 22

Step-by-step explanation:

hope it helps thankks

Answer:

I agree with the person above

Answer:

30

Step-by-step explanation:

The diagonals of the parallelogram intersect at the mid-point.  the length of the side SQ is 30 units.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a parallelogram, opposite sides are parallel and equal.

The dimensions of the parallelogran is shown;

SX = 2x – 1, RX = 3x – 3, and RT = 5x + 2

We know that its diagonals intersect at mid-point. Then

     RT = 2 times RX

5x + 2 = 2 × (3x – 3)

5x + 2 = 6x – 6

       x = 8

Then the side SX will be

SX = 2x – 1

SX = 2 × 8 – 1

SX = 16 – 1

SX = 15

Then the side SQ will be

SQ = 2 times SX

SQ = 2 × 15

SQ = 30

Thus, the length of the side SQ is 30 units.

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The graph of the function f(x) = –0.5|x + 3| – 2 is best described by: D. graph D.

In Mathematics, the translation a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

In Mathematics, a horizontal translation to the left is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the negative y-direction (downward) is modeled by this mathematical expression g(x) = f(x) - N.

Where:

In this scenario, the function f(x) = –0.5|x + 3| – 2 is translated 3 units to the left and downward by 2 units.

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Gabriella skied for 6 hours, Let x be the number of hours that Gabriella skied. We know that she paid $35 for ski rental and $15 per hour for skiing,

for a total of $95. We can set up the following equation to represent this information:

35 + 15x = 95

Solving for x, we get:

15x = 60

x = 4

Therefore, Gabriella skied for 6 hours.

Here is a more detailed explanation of how to solve the equation:

Subtract $35 from both sides of the equation.

15x = 60

15x - 35 = 60 - 35

15x = 25

Divide both sides of the equation by 15.

15x = 25

x = 25 / 15

x = 4

Therefore, x is equal to 4, which is the number of hours that Gabriella skied.

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Answer:

Answer: x=5

Step-by-step explanation:

-3x + 16 = 1

-16. -16

-3x = 15

÷-3. ÷-3

x = 5

If Leila wants to stop for a break when the ratio of distance travelled and distance left is 3:5 , then point at which Leila stop for break is  (6.25 , 3.75).

Leila is walking from the park at the point P to the point R ;

let the break point coordinates be = (x,y)

the ratio for distance travelled and distance left to travel ⇒ 3:5 = m:n;

the point P is (10,3) = (x₁ , y₁)

the point R is (0,4) = (x₂ , y₂) .

the break point can be calculated by using the formula ;

x = (mx₂ + nx₁)/(m+n)  and y = (my₂ + ny₁)/(m+n) ;

On substituting the values ,

we get ;

x = (3×0 + 5×10)/(3+5)  and y = (3×4 + 5×3)/(3+5) ;

x = 50/8 and y = 27/8 ;

x = 6.25   and y = 3.75 .

Therefore , the break point is (6.25 , 3.75).

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Answer:

Lines with the same slope are parallel.

mparallel=2

Step-by-step explanation: