After answering the question provided, we can predict that the result will be as by equation As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.
What is equation?A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.
A binomial distribution with the specified values of n and p has a mean of = np and a standard deviation of = sqrt(np(1-p)).
Inputting n = 261 and p = 1/5 results in:
μ = np = 261 × 1/5 = 52.2
5.28 is equal to sqrt(np(1-p)) = sqrt(261 1/5 4/5)
Calculating the minimal typical value of 2 is as follows:
μ − 2σ = 52.2 − 2 × 5.28 ≈ 41.64
The calculation for the maximum typical value + 2 is as follows:
μ + 2σ = 52.2 + 2 × 5.28 ≈ 62.76
These values are rounded to the nearest hundredth, giving us:
The range is 41.64 to 62.76.
As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.
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Answer:
Minimum: 39.28; maximum: 65.12
pls and thanks Solve the equation 4(c-3) = 8 what is the value of c
Answer: C=5
Hope this helps!
When graphing a sine curve model using the equation Y = sin bx, the period (or wavelength) will be represented by
3
27
So be
period
Determine the equation for the sine curve that models the G# wave if the
wavelength of G# = 0.828 meters.
a.
y = sin(6.03x)
b. y = sin(0.828x)
C. y = sin(5.68x)
d. y = sin(7.59x)
Please select the best answer from the choices provided
use pic to answer
Answer:
its D, y= sin(7.59x)
Step-by-step explanation:
just took the quiz on edge
A 25 foot ladder is placed against a building at a point 21 feet from the ground find the distance from the base of the building to the base of the ladder
Answer:
The distance from the base of the building to the base of the ladder is 13.56 feet.
Step-by-step explanation:
This can be solved using Pythagorus theorem.
If the length of the ladder is taken as the hypotenuse and the distance from the building as the base of the triangle then the altitude can be found out by using
c²= a²+b²
Where c is the hypotenuse and b is the base and a is the altitude
Putting the values
25²= a²+ 21²
a²= 25²-21²
a²= 625-441
a²= 184
a= √184= 13.56 feet
The distance from the base of the building to the base of the ladder is 13.56 feet
Elena has written 3 sports books for kids. One book is about soccer, one is about baseball, and one is about basketball. Elena has sold a total of 3,017 of the books in local bookstores. She sold 3 times as many copies of the soccer book as the baseball book. She sold the same number of copies of the basketball book as the soccer book. How many copies of the soccer book has she sold?
Answer:
1293 soccer books
Step-by-step explanation:
The tricky part about questions like this is: how do I assign variables to the three types of book?
You get a clue from the sentence, "She sold 3 times as many copies of the soccer book as the baseball book." The number of soccer books is being described by referring TO the number of baseball books. Pick a variable and assign it to the item being REFERRED TO!
x = number of baseball books
Then 3x = number of soccer books. The number of basketball books is the same, so 3x = number of basketball books. Here's the list...
x = number of baseball books
3x = number of soccer books
3x = number of basketball books
The total of these is 3017, so
x + 3x + 3x = 3017
7x = 3017
x = 431
Ah! But don't forget to look back at the question: it asks for the number of SOCCER books! That's 3x, so 3(431) = 1293.
PLEASE HELPP :(
Does the relationship shown in the table represent a direct or inverse variation relationship?
A: Direct, as x increases, y also increases
B: Direct, as x increases, y decreases
C: Inverse, as x increases, y also increases
D: Inverse, as x increases, y decreases
Step-by-step explanation:
i think
C: Inverse, as x increases, y also increases
Step-by-step explanation:
C: Inverse, as x increases, y also increases
hope it is helpful to you
(x+1)^2 = -4
What are the solutions?
Answer:
x = 4i - 1 or
x = 4i + 1
Step-by-step explanation:
(x+1)^2 = -4
x+1 = (+-)4i
x = +-4i - 1
==>
x = 4i - 1 or
x = 4i + 1
Help PLEASE ILL MARK BRAINLIEST!!!
Mario ran backwards 5 spaces then jumped up 3 spaces. How can we show this as an ordered pair?
Find the distance between the points
Answer:
12 hope this help
Step-by-step explanation:
How do you find the unknown length for a special right angel
Answer: Pythagorean theroem
Step-by-step explanation:
The easiest method to use in terms of a missing side as long as you know at least two other variables whether its another side or angle
Solve 9x + 18 = 6y - 3x for y
Answer:
y = 2x + 3
Step-by-step explanation:
how to tell the transformation of graphs?
Answer:
:D
Step-by-step explanation:
if the parent function, y=f(x) has a number added (y=f(x)+4) the graph will be translated up. If the parent function has a number subtracted, y=f(x)-4, the graph will be translated down. The image explains more simply, and there are more possible translations (shown in image)
I NEED HELPPPPP PLEASE
Answer:
66 ft^2
Step-by-step explanation:
2 x 3 = 6
5 x 12 = 60
6 + 60 = 66
Answer:
A=A1 + A2
A= (l×w) + (l×w)
A= ((12-3)×5) + (3×(5+2))
A=66 ft^2
Armando took his dog, Tasha, to the vet. Tasha was placed on the scale and weighed 45.72 pounds. The veterinarian told Armando that Tasha’s breed should weigh no more than Thirty-six and one-half pounds. Armando calculated about how much weight Tasha should lose to be under the breed’s maximum weight. 45.72 rounds to 45 rounds to 37 45 – 37 = 8 pounds Which statements are true about Armando’s calculations? Check all that apply. Armando should have added 37 to 45. Armando should have rounded 45.72 to 45.5. Armando should not have rounded Thirty-six and one-half to 37. Armando should have calculated that the difference between 45 and 37 is 7. Armando’s last step should have shown 45.5 Minus thirty-six and one-half = 9.
Answer: 17 pounds
Step-by-step explanation:
1.) Determine the type of solutions for the function (Picture 1)
2.) Determine the type of solutions for the function (Picture 2)
3.) Use the formula b2−4ac to determine the value of the discriminant of the function f(x)=2x2+8x+6
Use Desmos Scientific (Picture 3)
4.) Describe the transformations of the function
g(x)=−25(x−4)2+6 from the transformation of the parent function
Use phrases such as: the graph is reflected or not reflected/ the graph gets wider or narrower/ the graph slides left or right _________ units and slides up or down _________ (Picture 4)
Answer:
1) 2 nonreal complex roots
2) 1 Real Solution
3) 16
4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)
Step-by-step explanation:
1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0
We get;
y = a·x² + b·x + c
At y = 6, x = -2
Therefore;
6 = a·(-2)² - 2·b + c = 4·a - 2·b + c
6 = 4·a - 2·b + c...(1)
At y = 8, x = 0
8 = a·(0)² + b·0 + c
∴ c = 8...(2)
Similarly, we have;
At y = 8, x = -4
8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8
16·a - 4·b = 0
∴ b = 16·a/4 = 4·a
b = 4·a...(3)
From equation (1), (2) and (3), we have;
6 = 4·a - 2·b + c
∴ 6 = b - 2·b + 8 = -b + 8
6 - 8 = -b
∴ -b = -2
b = 2
b = 4·a
∴ a = b/4 = 2/4 = 1/2
The equation is therefor;
y = (1/2)·x² + 2·x + 8
Solving we get;
x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))
x =( -2 ± √(-12))/1 = -2 ± √(-12)
Therefore, we have;
2 nonreal complex roots
2) Give that the graph of the function touches the x-axis once, we have;
1 Real Solution
3) The given function is f(x) = 2·x² + 8·x + 6
The general form of the quadratic function is f(x) = a·x² + b·x + c
Comparing, we have;
a = 2, b = 8, c = 6
The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;
D = 8² - 4 × 2 × 6 = 16
The discriminant of the function, D = 16
4.) The given function is g(x) = (-2/5)·(x - 4)² + 6
The parent function of a quadratic equation is y = x²
A vertical translation is given by the following equation;
y = f(x) + b
A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)
A vertical reflection is given by an equation of the form; y = -f(x) = -x²
A narrowing is given by an equation of the form; y = b·f(x), where b < 1
Therefore, the transformations of g(x) from the parent function are;
g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.
Find the x intercepts of the graph of -6x + 5y =24. State your answers as while numbers or as improper fractions in simplest form.
Answer:
x-intercept: -4
y-intercept: 24/5
Step-by-step explanation:
Firstly you have to isolate the y:
-6x + 5y = 24
5y = 6x + 24
y = (6x +24)/5
Now, just think about the graph: when the function touch the x-axis, the value of y is equal to 0, and when the function touch the y-axis, the value of x is 0, so just put they in the function:
y = (6•0 + 24)/5
y = 24/5
0 = (6x + 24)/5
5•0 = 6x +24
0 = 6x +24
-6x = 24
x = 24/-6
x = -4
If P( 9,r ) = 3,024, what is r ?
plz plz plz... help mè
I mark it... :(
Answer:
[tex] \frac{9i}{(9 - r)i} = 3024 \\ (9 - r)i = 9i \div 3024 = 362880 \div 3024 = 120 = \\ = 1 \times 2 \times 3 \times 4 \times 5 = 5i \\ r = 4[/tex]
Simplify the expression and choose the appropriate result.
3 (2+39)
Answer:
setup below, you'll have to do the final calculation
Step-by-step explanation:
first perform the operation in parenthesis
2+39= 41
then do the multiplication 3 x 41
in general do calculations in this order
1. Parenthesis
2. Multiplication
3. Division
4. Addition
5. Subtraction
working from left to right
HELP PLEASEEEE I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
we need to make two rectangles.
one that is 13.1 Km X (9.3-4.2) Km
13.1 * 5.1 = 66.81
the next box is 4.2 X (13.1-8.1)
4.2*5 = 21
area total = 21 + 66.81 = 87.81[tex]Km^{2}[/tex]
You are road tripping down the California coast and you notice you need to fill up your gas tank. In CA, sales tax is 2.25%. You spend $56.00 to fill up your tank. How much are you paying in sales tax?
Answer:
$1.26
Step-by-step explanation:
So you just have to find 2.25% of 56.
To find a certain percentage of something, you multiply it. Let's write out a sentence explaining what you need to do. You have to find:
2.25% of 56
Whenever you've got a sentence like this, all you've got to do is change the word "of" to a multiplication symbol. And now you've got an expression:
2.25% × 56
Let's convert the percentage to a decimal. To do this, you simply remove the percent symbol, then move the decimal point 2 places to the left.
2.25% = 0.0225
And now you have:
0.0225 × 56
Then you just do the math! I am assuming you already know how to do decimal multiplication so I'm not going to explain the process here.
But once you multiply 0.0225 × 56, you get an answer: 1.26
Hope this was helpful to you, and don't forget to choose the Brainliest answer!
Y=x2= is that a function?
Find the area of the figure
Answer:
A = 76.912Step-by-step explanation:
Area of triangle with angle of 30°:
[tex]A_1=\frac12\cdot 5^2\cdot\sin(30^o)=\dfrac{25}4=6.25[/tex]
Area of triangle with angle of 50°:
[tex]A_2=\frac12\cdot 5^2\cdot\sin(50^o)=\dfrac{25}2\cdot0.766=9.575[/tex]
Area of the rest of the figure:
[tex]A_3=\dfrac{(360-30-50)^o}{360^o}\cdot\pi\cdot5^2=\dfrac79\cdot\pi\cdot25 =61.087[/tex]
Therefore:
[tex]A=A_1+A_2+A_3=6.25+9.575+61.087=76.912[/tex]
A boat leaves the dock and travels 7 miles due south, then 24 miles due west.
How far is the boat from the dock?
A. 625 mi
B. 31 mi
C. 17 mi
D. 25 mi
Answer:
D
Step-by-step explanation:
The boat is a distance of 25 miles far away from the dock. which is the correct would be an option (D).
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
A boat leaves the dock and travels 7 miles due south, then 24 miles due west which is given in the question.
According to Pythagoras's theorem,
In a right-angled triangle, "the square of the hypotenuse is equal to the sum of the squares of the other two sides."
perpendicular²+base²=hypotenuse²
The hypotenuse = c
Here , perpendicular = 7 and base = 24
⇒ 24² + 7² = c²
⇒ 576 + 49 = c²
⇒ 625 = c²
⇒ c² = 625
⇒ c = 25
Therefore, the boat is a distance of 25 miles far away from the dock.
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5 of 10
A fair dice is rolled.
Work out the probability of getting a number more than 4.
Give your answer in its simplest form.
Answer: 1/3
Step-by-step explanation:
numbers more than 4 are: 5, and 6
so 2/6 chance of rolling a number greater than 4
in simplest form this is 1/3
Answer:
number 4 are t is greater
Please help me!! How do I do this?
Answer:
I think 12 * 12/ 60 = ?
12*12= 144
144/ 60= ?
Answer:
360°
Step-by-step explanation:
I think
1/2 base ×height
1/2×60×12
30×12
=360
Help help help help help help dont troll
Answer:the correct answer is C
Step-by-step explanation:
Tell whether the statement is always, sometimes, or never true. Explain.
1. If x and y are supplementary angles, then y is acute.
2. If x and y are complementary angles, then x is obtuse.
Answer:
1. If x and y are supplementary angles, then y is sometimes acute because supplementary angles are angles that add up to 180 degrees. So, y can be acute while x can be obtuse, y can be obtuse while x can be acute, or both can be right angles.
2. If x and y are complementary angles, then x is never obtuse. Complementary angles are angles that add up to 90 degrees, and obtuse angles are angles over 90 degrees, so it's impossible to have an obtuse angle as a complementary angle.
Step-by-step explanation:
Answer:
1) Sometimes
2) Never
Step-by-step explanation:
1) you could have two angles add up to 180 degrees and one of them could be less than 90
example, x = 140° and y = 40°
2) if two angles are complementary then their sum is 90° so neither angle must be less than 90°, thereby making them both acute angles
Please help I need to get this done
Answer:
48
Step-by-step explanation:
So you take 7x-92+6x+12=180
And then you get x=20
Plug in 20 for x for <LOM
And you get and you get 48
Hope this helped!!
Jello someone help is this correct answer
No links or files
Correct answer please
Answer:
c is the right answer
Step-by-step explanation:
Fahad is 140 cm tall. Fareed is 1090 mm tall.
Who is taller? How much taller?
Answer:
Fahad is taller with 31 centimeters
Step-by-step explanation:
1090mm=109cm
Fahad is taller than Fareed by 31 centimeters.
1090 mm = 109 cm
140 cm - 109 cm = 31 cm
Hope this helps; please mark brainliest!
Have an amazing day!
Consider a triangle ABC like the one below. Suppose that a = 47, b = 59, and A = 37" (The figure is not drawn to scale.) Solve the triangle,
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If no such triangle exists, enter "No solution." If there is more than one solution, use the button labeled "or",
Answer:
B = 49.1°
C = 93.9°
c = 77.9
Step-by-step explanation:
Given:
a = 47, b = 59, and A = 37°
Required:
B, C, and c
Solution:
✔️To find B, apply the law of sines:
[tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{sin(37)}{47} = \frac{sin(B)}{59} [/tex]
Cross multiply
[tex] 47*sin(B) = sin(37)*59 [/tex]
Divide both sides by 47
[tex] \frac{47*sin(B)}{47} = \frac{sin(37)*59}{47} [/tex]
[tex] sin(B) = 0.7555 [/tex]
[tex] B = sin^{-1}(0.7555) [/tex]
[tex] B = sin^{-1}(0.7555) [/tex]
B = 49.0690779° ≈ 49.1° (nearest tenth)
✔️C = 180° - (A + B) (sum of triangle)
C = 180° - (37° + 49.1°)
C = 93.9°
✔️To find c, apply the law of sines:
[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]
Plug in the values
[tex] \frac{sin(49.1)}{59} = \frac{sin(93.9)}{c} [/tex]
Cross multiply
[tex] c*sin(49.1) = sin(93.9)*59 [/tex]
Divide both sides by sin(49.1)
[tex] c = \frac{sin(93.9)*59}{sin(49.1)} [/tex]
c = 77.8766982
c ≈ 77.9 (nearest tenth)