The percent of data within the following interval from 28 to 82 is 99.73%
Calculating the percent of data of values from the the z-scoresFrom the question, we have the following parameters that can be used in our computation:
Mean = 55
Standard deviation = 9
Scores = from 28 to 82
So, we have
z = (28 - 55)/9 = -3
z = (82 - 55)/9 = 4
This means that it is between a z-score of -3 and a z-score of 3
This is represented as
Probability = (-3 < z < 3)
Using a graphing calculator, we have
Probability = 0.9973
Express as percentage
Probability = 99.73%
Hence, the probability is 99.73%
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Halle tres números enteros pares consecutivos que satisfacen el Teorema de Pitágoras
The three consecutive even integers are 6, 8, and 10, which satisfy the Pythagorean Theorem.
We have,
The Pythagorean Theorem in a right-angled triangle,
a² + b² = c²
To find three consecutive even integers that satisfy this theorem, we can start by assuming that one of the even integers is x.
Then, the next two consecutive even integers would be x+2 and x+4.
We can then use the Pythagorean Theorem to set up an equation and solve for x:
x² + (x+2)² = (x+4)²
Expanding and simplifying:
x² + x² + 4x + 4 = x² + 8x + 16
Simplifying further:
x² - 4x - 12 = 0
Now we can use the quadratic formula to solve for x:
x = [4 ± √(4² - 4(1)(-12))] / (2 x 1)
x = [4 ± √64] / 2
x = [4 ± 8] / 2
x = 6 or x = -2
Since we are looking for three consecutive even integers, we can discard the negative solution and choose x = 6.
This gives us the three consecutive even integers: 6, 8, and 10, which satisfy the Pythagorean Theorem:
6² + 8 = 10²
36 + 64 = 100
100 = 100
Thus,
The three consecutive even integers are 6, 8, and 10, which satisfy the Pythagorean Theorem.
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The complete question.
Find three consecutive even integers that satisfy the Pythagorean Theorem.
0.35+0.63*100÷0.4-0.34
Triangle ABC ~ triangle DEF.
triangle ABC with side AB labeled 11, side CA labeled 7.6 and side BC labeled 7.9 and a second triangle DEF with side DE labeled 2.2
Brainliest for right answer!!!!
Will give Brainliest and points!!!!
Determine the measurement of FD.
FD = 1.52
FD = 1.58
FD = 1.1
FD = 5.5
Answer:
The answer is **FD = 1.52**.
Since triangle ABC ~ triangle DEF, we know that the ratio of their corresponding sides is equal. So, we have:
```
AB/DE = AC/DF = BC/EF
```
We are given that AB = 11, DE = 2.2, and AC = 7.6. Substituting these values into the first equation, we get:
```
11/2.2 = 7.6/DF
```
Cross multiplying, we get:
```
11 * DF = 2.2 * 7.6
```
```
DF = (2.2 * 7.6) / 11
```
```
DF = 1.52
```
Step-by-step explanation:
Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. sin(11°) cos(49°) + cos(11°) sin(49°) and Find its exact value.
The exact value for the trigonometric function of numbers is derived to be √3/2.
What are trigonometric identitiesTrigonometric identities are equations that involve the trigonometric functions (such as sine, cosine, tangent, cosecant, secant and cotangent) and are true for all possible values of the variables involved. These identities can be used to simplify trigonometric expressions, solve equations, and prove other mathematical statements.
Then sum and difference identities states that:
sin(A ± B) = sinAcosB ± cosAsinB
cos(A ± B) = cosAcosB ∓ sinAsinB
so;
sin(11°) cos(49°) + cos(11°) sin(49°) = sin(11 + 49)
sin(11°) cos(49°) + cos(11°) sin(49°) = sin(60°)
sin(11°) cos(49°) + cos(11°) sin(49°) = √3/2.
Therefore, the exact value for the trigonometric function of numbers is derived to be √3/2.
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Use the image to determine the type of transformation shown.
Image of polygon ABCD and a second polygon A prime B prime C prime D prime below.
Reflection across the x-axis
180° counterclockwise rotation
Horizontal translation
Vertical translation
The type of transformation shown is vertical translation. That is option D.
What is Transformation in geometry?Transformation of geometrical figures or points is the manipulation of a given figure to take the same shape but with different direction of its original angles.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
Given a polygon ABDC.
It is transformed to another polygon with the same size A'B'D'C'.
Here the polygon ABDC is just moved downwards as it is and mark is as A'B'D'C'.
In rotation or reflection transformation, the points will change it's correspondent place.
Translation is a type of transformation where the original figure is shifted from a place to another place without affecting it's size.
Since the shifting is done vertically, it is vertical translation.
Hence the transformation is vertical translation.
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It asks me to write a fraction as a mixed number. If I have 20/10, what is the mixed number?
can someone help me with this?
You are performing a study about weekly per capita milk consumption. A previous study found weekly per capita milk consumption to be normally distributed, with a mean of 45.6 fluid ounces and a standard deviation of 11.1 fluid ounces. You randomly sample 30 people and record the weekly milk consumptions shown below.
37 55 30 38 43 46 32 63 34 47
40 27 34 54 43 44 40 47 50 51
36 28 22 42 58 43 48 41 56 37
A graph is a visual representation or diagram that shows facts or values in an ordered way. The only graph that satisfies the above shape is the third one.
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between multiple items are frequently represented by the points on a graph. The term "pictograph" refers to the visual depiction of information. Each graphic represents a specified number of objects. The only graph that satisfies the above shape is the third one.
Therefore, the correct option is option C.
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Your question is incomplete but most probably your full question was,
A group of 30 students from your school is part of the audience for a TV game show. The total number of people in the audience is 130. What is the
theoretical probability of 5 students from your school being selected as contestants out of 8 possible contestant spots?
P(5 students selected) =
(Type an integer or decimal rounded to three decimal places as needed.)
Answer:
120/30*29*28*27
Step-by-step explanation:
Which distribution is positively skewed?
The distribution that is positively skewed is Option C.
What is a positive skew ?A positive skew is a statistical pattern, in which the majority of the data points are concentrated at one end within the range and wherein the tail is longer on the right side of the graph.
This phenomenon is also identified as a "right-skewed distribution," oppositely to its counterpart: the negative skew or "left-skewed distribution."
In conclusion, the distribution that is positively skewed is the third distribution or Option C.
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how to solve 156 x 6=
938 But how did you get 938
156
X 6
____________
Triangle ABC was dilated with the origin as the center of dilation to create triangle A'B'C'. Write the rule that best represents the dilation that was applied to triangle ABC to create triangle A'B'C'. -10-9-S A B C
The rule of dilation is a dilation by a scale factor of 2
Determining the rule of dilationFrom the question, we have the following parameters that can be used in our computation:
ABC with vertices at A(1, 1)A'B'C' with vertices at A'(2, 2)The scale factor is calculated as
Scale factor = A'/A
Substitute the known values in the above equation, so, we have the following representation
Scale factor = (2, 2)/(1, 1)
Evaluate
Scale factor = 2
Hence, the rule of dilation is (2x, 2y)
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Carter was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 31%. What number should he multiply the cost of the meal by to find the total plus tip in one step?
The total cost of the meal is $65.50, with tip included.
Here, in this question we need to find the percentage Value, to find the total cost of the meal plus the tip, Carter needs to multiply the cost of the meal by a factor of 1 + the tip percentage, which is 1 + 31% = 1.31.
So, the number Carter should multiply the cost of the meal by to find the total plus tip in one step is 1.31.
For example, if the cost of the meal was $50, then the total cost including the tip would be addition of cost of meal and tip.
Total cost = Cost of meal + Tip
Total cost = $50 + 31% of $50
Total cost = $50 + $15.50
Total cost = $65.50
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Solve this quadratic equation using the quadratic formula. 2X^2 - 10x + 5 = 0
Answer:
If I am not mistaken, the answer is:
x1: 4.436
x2: 0.564
Step-by-step explanation:
Answer is
5 + √15 or 4.43649 decimal
2
and
5 - √15 or .56350 decimal
2
Step by step
Given 2x^2 -10x +5 = 0
Quadratic formula
-b +- √ b^2 - 4 a c
2a
- -10 +- √ -10^2 (-4)(2)(5)
2(2)
Simplify
10 +- √ 100 - 40
2(2)
10+- √ 60
2(2)
Factor out √60 = 2^2 * 3 * 5
Rewrite after moving 2 outside √
10 +- 2 √15
2(2)
Divide out one of the “2’s” with terms outside the √
5 +- √15
2
Solve
5 + √15
2
5 - √15
2
ANSWER THIS WITH EXPLANATION GET BRAINLESS
2. Which is the smallest?
(a) -1,
(b) -1/2,
(c) 0,
(d) 3.
Step-by-step explanation:
The smallest number among the given options is (a) -1. This is because -1 is a negative number and is less than zero, while the other options are either positive or greater than zero. (b) -1/2 is greater than -1, (c) 0 is neither positive nor negative, and (d) 3 is greater than both -1 and -1/2. Therefore, the correct answer is (a) -1.
Answer:
A is correct
Step-by-step explanation:
its correct be cause negative is less than 0
its like being in dept
When Steven was 3 years old (on his birthday), his grandmother decided to set up a trust account to pay for his college education. She wanted the account to grow
to $100,000 by his 18th birthday. If she was able to invest her money at 4% per year, how much did she have to deposit into this trust account? (Note: The
amount deposited is known as the present value of the investment. The $100,000 is known as the future value. Round your answer to the nearest cent.)
$
Using the future value,
Steven's grandmother needed to deposit $55,469.56 into the trust account.
We have,
We can use the formula for the future value of a present sum:
FV = PV(1 + r)^n
where FV is the future value, PV is the present value, r is the annual interest rate, and n is the number of years.
In this case, we have:
FV = $100,000
PV = unknown
r = 4% = 0.04
n = 15 years (18 - 3 = 15)
Substituting these values into the formula, we get:
$100,000 = PV(1 + 0.04)^15
Solving for PV, we get:
PV = $55,469.56
Thus,
Steven's grandmother needed to deposit $55,469.56 into the trust account.
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(Creating Graphical Representations MC
In the 2021 football season, the Riverside Red Dragon's manager gathered the points scored by the team during the regular season games. The following data set shows the values collected by the manager.
{17, 0, 28, 17, 17, 20, 28, 11, 17, 22, 24, 33, 20, 31, 20, 3}
Which of the following stem-and-leaf plots correctly graphs the data set?
2021 Riverside Red Dragon Football Season Points
0 0 3
1 1 7 7 7 7
2 0 0 0 2 4 8 8
3 1 3
Key 1|1 = 11
2021 Riverside Red Dragon Football Season Points
0 0 3
1 1 7
2 0 2 4 8
3 1 3
Key 1|1 = 11
2021 Riverside Red Dragon Football Season Points
1 1 7
2 0 2 4 8
3 0 1 3
Key 1|1 = 11
2021 Riverside Red Dragon Football Season Points
1 1 7 7 7 7
2 0 0 0 2 4 8 8
3 0 1 3
Key 1|1 = 11
The stem and leaf plot that correctly represents the data sets is
Stem Leaf
0 | 0, 3
1 | 7, 7, 7, 1, 7,
2 | 8, 8, 2, 4, 0. 0
3 | 3, 1,
Option B is the correct answer.
We have,
The following data set shows the values collected by the manager.
{17, 0, 28, 17, 17, 20, 28, 11, 17, 22, 24, 33, 20, 31, 20, 3}
Now,
We make the stem and leaf plot as:
Stem Leaf
0 | 0, 3
1 | 7, 7, 7, 1, 7,
2 | 8, 8, 2, 4, 0. 0
3 | 3, 1,
Here,
3 can be written as 03 and 0 can be written as 00.
Thus,
The stem and leaf plot that correctly represents the data sets is
Stem Leaf
0 | 0, 3
1 | 7, 7, 7, 1, 7,
2 | 8, 8, 2, 4, 0. 0
3 | 3, 1,
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Are these two cylinders similar? The diagrams are not drawn to scale.
well the first cylinder is small the other is big and if this dosent help i'm so very sorry
Please help I'm studying my next grade.
63+48÷(23-12)x81
Answer:
416.16
Step-by-step explanation:
First, solve the parenthetical expression (23-12) which equals 11. Next, use the order of operations to perform the multiplication and division from left to right: 48 ÷ 11 = 4.36 and 4.36 x 81 = 353.16. Finally, add this result to 63 to get the final answer: 63 + 353.16 = 416.16. Therefore, the solution is 416.16.
evaluate the following (i) 0.79x12 (ii) 12.45x11
The value of the arithmetic operation; 0.79 × 12 as required in the task content is; 9.48.
The value of the arithmetic operation; 12.45 × 11 as required in the task content is; 136.95
What is the value of the given expressions?It follows from the task content that the value of the given arithmetic expressions are to be determined.
By the use of a mathematical calculator; we have that;
0.79 × 12 = 9.48
Also; 12.45 × 11 = 136.95.
Ultimately, the result of the evaluations as required are such that;
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solve: 63+48÷(23-11)×14
Answer:
119
Step-by-step explanation:
Firstly, we need to solve the expression inside the parentheses, which is 23-11. This gives us 12. Then we need to carry out the division to get 48 divided by 12, which is 4. We can then multiply 4 by 14 to get 56. Finally, we add 56 to 63 which gives us the answer of 119. Therefore, the solution to the expression 63+48÷(23-11)×14 is 119.
NEED HELP ASAP PLS AND THX PIC ATTACHED
The Area of Triangle is 10 square unit.
We have,
base = 4 unit
Height = 5 unit
So, Area of Triangle
= 1/2 x base x height
= 1/2 x 4 x 5
= 2 x 5
= 10 square unit
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The bar graph shows the flavors of gum bought yesterday by the customers at a store. Each customer bought only 1 flavor of gum.
Statement there are 2.5 customers who bought spearmint as customer than peppermint is not supported by the display of the graph. So, the correct answer is D).
According to the bar graph, there are 50 customers who bought spearmint and 20 customers who bought peppermint.
Therefore, the difference between the number of customers who bought spearmint and those who bought peppermint is
50 - 20 = 30
This means that there are 30 more customers who bought spearmint than peppermint, not 2.5. So, the correct option is D).
Statements a, b, and c are supported by the display of the graph.
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--The given question is incomplete, the complete question is given
" The bar graph shows the flavors of gum bought yesterday by the customers at a store. Each customer bought only 1 flavor of gum.
Which statemnt is not supported by display of graph"--
a The same number of customer bought papermint and cinmaon.
b Thera ARE 120customer who bought gum
c The most favoured flavor is papermint
d there are 2.5 customers who bought spearmint as customer than peppermint
Tanner-UNF Corporation acquired as a long-term investment $200 million of 6.0% bonds, dated July 1, on July 1, 2024. Company management has the positive intent and ability to hold the bonds until maturity. The market interest rate (yield) was 8% for bonds of similar risk and maturity. Tanner-UNF paid $170.0 million for the bonds. The company will receive interest semiannually on June 30 and December 31. As a result of changing market conditions, the fair value of the bonds at December 31, 2024, was $180.0 million
Carrying value on June 30, 2024 is $176 million, total Interest revenue is $12.44 million
To calculate the interest revenue for the first six months, we need to find the carrying value of the bonds on June 30, 2024.
The carrying value is the purchase price plus the accrued interest, which is calculated as follows:
Accrued interest = Face value x Coupon rate x Time
where Time = 6/12 = 0.5 (since interest is paid semiannually)
Accrued interest = $200 million x 6% x 0.5 = $6 million
Carrying value on June 30, 2024 = Purchase price + Accrued interest
= $170 million + $6 million
= $176 million
The interest revenue for the first six months is calculated as follows:
Interest revenue = Carrying value x Market rate x Time
= $176 million x 8% x 0.5
= $7.04 million
For the second six months, the carrying value is the fair value of $180 million, since the bonds were revalued at December 31, 2024.
The interest revenue for the second six months is calculated as follows:
Interest revenue = Carrying value x Coupon rate x Time
= $180 million x 6% x 0.5
= $5.4 million
Total interest revenue = Interest revenue for first six months + Interest revenue for second six months
= $7.04 million + $5.4 million
= $12.44 million
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The vertices of a rectangle are plotted on the coordinate grid shown.
A graph with the both the x and y-axes numbered starting from negative 8 with units of one up to 8. There are points plotted at negative 4, 5, at 5, 5, at negative 4, negative 4, and at 5, negative 4.
What is the area of the rectangle shown?
81 square units
80 square units
40.5 square units
40 square units
The area of the rectangle is 81 square units. (option a)
To find the area of a rectangle, we need to know its length and width. We can determine these values by looking at the difference between the x-coordinates and the y-coordinates of the vertices.
In this case, we have the following coordinates: (-4,5), (5,5), (-4,-4), and (5,-4).
The length of the rectangle is the difference between the x-coordinates of the left and right vertices:
=> 5 - (-4) = 9.
The width is the difference between the y-coordinates of the top and bottom vertices:
=> 5 - (-4) = 9.
To find the area of the rectangle, we multiply its length by its width:
=> 9 x 9 = 81.
So, the correct answer is the (a), 81 square units.
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CAN SOMEONE HELP WITH THIS QUESTION?
Answer:
v(t) = 38 -9.8th(t) = -4.9t² +38t +1.8Step-by-step explanation:
You want functions for the velocity v(t) and height h(t) of a ball thrown upward at 38 m/s from a height of 1.8 m. The acceleration is -9.8 m/s².
RelationsThis sort of problem is usually discussed in a physics course. The relation between acceleration, velocity, and position is ...
velocity is the rate of change of position
acceleration is the rate of change of velocity
Then the inverse relations are ...
h(t) = ∫v(t)dt +h(0)
v(t) = ∫a(t)dt +v(0)
ApplicationWhen position is measured in one dimension (up = positive), these have the standard formulas:
v(t) = g·t + v(0)
h(t) = 1/2g·t² +v(0)·t +h(0)
Filling in the given values (g = -9.8, v(0) = 38, h(0) = 1.8), we have ...
v(t) = -9.8t +38 . . . . . . . . . . . . meters per second
h(t) = -4.9t² +38t +1.8 . . . . . . meters
The product of two numbers is 126 . The smaller number is 5 less than the larger number. Which of the following equations can be used to solve for the larger number?
Answer:
Step-by-step explanation:
45
For her end of year party Adriana mixed 6 L of Brand A juice with 9 L of Brand B juice. Brand A contains 52% fruit and Brand B contains 12% fruit juice. What percent of the mixture is fruit juice?
A. 30%
B. 28%
C. 20%
D. 32%
Answer:
B. 28%
Step-by-step explanation:
You want to know the percent of the mixture that is fruit juice, if the mixture is 6 L of 52% juice and 9 L of 12% juice.
JuiceThe total amount of juice in the 6+9 = 15 L of mix is ...
0.52·(6 L) +0.12(9 L) = 3.12 L +1.08 L = 4.2 L
Then the fraction of the mix that is fruit juice is ...
(4.2 L)/(15 L) = 0.28 = 28%
The percent of the mixture that is fruit juice is 28%, choice B.
__
Additional comment
Effectively, the fraction is the weighted average of the fractions of the constituents. The weights are the number of liters of each constituent.
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Unique ID: 2174
Watch help video
Find the length of the third side. If necessary, write in simplest radical form.
6
3√5
The length of the third side is given as follows:
x = 3√3.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.The parameters for this problem are given as follows:
Side lengths of 3 and x.Hypotenuse of 6.Hence the third side is given as follows:
x² + 3² = 6²
x² + 9 = 36
x² = 27
x = √3³
x = 3√3.
Missing InformationThe triangle is given by the image presented at the end of the answer.
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PLEASE HELP THANK YOU HURRY FAST
The solution of the equation 1/(x-3) + 1/(x+5) = 1/3 is x=-3, x=7, option D is correct
The given equation is 1/(x-3) + 1/(x+5) = 1/3
Take LCM on left hand side
(x+5)+(x-3)/(x-3)(x+5)= 1/3
2x+2/(x-3)(x+5) = 1/3
2(x+1)/(x-3)(x+5) = 1/3
6(x+1)=(x-3)(x+5)
6x+6 = x²+5x-3x-15
6x+6 = x²+2x-15
x²+2x-6x-15-6=0
x²-4x-21=0
x² -7x+3x-21=0
x(x-7)+3(x-7)
(x+3)(x-7)
The solutions are x=-3, x=7
Hence, the solution of the equation 1/(x-3) + 1/(x+5) = 1/3 is x=-3, x=7, option D is correct
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