D is the correct answer.
Step-by-step explanation:
D. Glenda chooses to check 300 monitors.
A binomial experiment is defined as a statistical experiment which consists of n repeated trials. Only two possible outcomes are possible in each trial- either its a success or a failure. Here the probability of success remains the same on every trial.
Now, to know about the defects through binomial experiment Glenda must choose a number of computers or trials. So, option D is correct.
The statement that will make this process into a binomial experiment is that,
⇒ Glenda checks the monitors until she has 300 non-defective monitors."
Hence, Option C is correct.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Glenda checks the computer monitors made at her company for defects. It has been shown that 0.5% of the monitors are defective.
Since, A binomial experiment is defined as a statistical experiment which consists of n repeated trials.
Only two possible outcomes are possible in each trial- either its a success or a failure. Here the probability of success remains the same on every trial.
Hence, For check several monitors and record if they are defective,
Glenda checks the monitors until she has 300 non-defective monitors."
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Kit folds a bandana diagonally before tying it around her head. The side length of the bandana is 16 in. About how long is the diagonal?
The length of the diagonal of Kit's bandana tied around her head is approximately 22.63 inches long.
Kit folds a bandana diagonally.
To find the length of the diagonal (hypotenuse of a right triangle), we can use the Pythagorean theorem.
The bandana side length (a) is 16 in.
Let x be the length of the diagonal.
Using a^2 + a^2 = x^2, we get 16^2 + 16^2 = x^2. Solving this gives x ≈ 22.63 in.
Formula for volume and surface area of a cylinder and explain why
Can you guys help me with 3-8 please thank you <3
77+14 is the same as blank +11
the gas tank on a car holds 16.6 gallons. If the car goes 332 miles on a single tank how many miles per gallon does the car get
A 18 miles
B 20 miles
C 17 miles
D 19 miles
(as with any math question I ask I would also like an explanation of why the answer is what it is//how you get the answer so I am able to do it on my own the next time)
The car gets 20 miles per gallon.
Explanation:To find the miles per gallon the car gets, we need to divide the total miles driven by the number of gallons of gas used. In this case, the car goes 332 miles on a single tank, and the gas tank holds 16.6 gallons. So, the miles per gallon can be calculated as:
Miles per gallon = Total miles driven / Number of gallons used
Miles per gallon = 332 miles / 16.6 gallons
Miles per gallon = 20 miles
Therefore, the car gets 20 miles per gallon.
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Mia's perents said that she can use a space in the yard that measures. 13 feet long by 9 feet wide for her wildflower garden. What is the area of the garden
The area of 13 feet long by 9 feet wide wildflower garden is 117 square feet.
Use the concept of a rectangle defined as:
Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.
To find the area of her garden,
Multiply the length and width of the space.
In this case,
the length is 13 feet and the width is 9 feet.
So, the area of Mia's garden would be,
13 feet x 9 feet = 117 square feet.
Hence,
The area of the garden is 117 square feet.
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Solve x2 + 2 = 6 by graphing the related function.
Answer:
[tex]x=-2,x=2[/tex]
Step-by-step explanation:
we have
[tex]x^{2}+2=6[/tex]
we know that
The solution of the function is equivalent to solve the following system of equations
[tex]y=x^{2}+2[/tex] ------> equation A
[tex]y=6[/tex] ------> equation B
The x-coordinate of the intersection point both graphs is the solution of the given function
Using a graphing tool
see the attached figure
The intersection points are [tex](-2,6)[/tex] and [tex](2,6)[/tex]
therefore
The solution of the given function are
[tex]x=-2,x=2[/tex]
WILL GIVE BRAINLIEST!! PPLEASE HELP!!
The graph of which function does not contain the point (0, 1)?
A.
y=(3/4)^x
B.
y=-2^x
C.
y=3^x
D.
y=(1/2)^x
yo, can someone give me an algebraic expression with work that equals 3? & it also has to include addition & multiplication.
Square sandbox with sides 3 feet long. She wants to put sand 0.85 feet deep in the box. What is the exact measure, in cubic feet of sand, tat Maija needs?
To find the volume of sand needed for Maija's sandbox, multiply the length, width, and depth. As the sandbox is a square, both the length and width are 3 feet. The depth is 0.85 feet. Thus, Maija needs 7.65 cubic feet of sand.
Explanation:This question is about calculating volume, specifically the volume of sand that Maija needs for her sandbox. The volume of a box is calculated by the formula: volume = length x width x height. Since the sandbox is square, the length and width are both 3 feet. The height, or in this case, the depth of the sand, is 0.85 feet.
Therefore, the volume of sand needed is calculated as follows: Volume = 3 ft x 3 ft x 0.85 ft = 7.65 cubic feet. So, Maija needs exactly 7.65 cubic feet of sand for her sandbox.
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Need some help on geometry practice problems!
Where does the normal line to the parabola y = x − x2 at the point (1, 0) intersect the parabola a second time?
The normal line to the parabola [tex]y=x-x^2[/tex] at the point [tex](1,0)[/tex] intersect it second time at the point [tex](-1,-2)[/tex].
The given equation is:
[tex]y = x-x^2[/tex]at point,
[tex](1,0)[/tex]then,
→ [tex]y' = 1-2x[/tex]
So, at (1,0),
→ [tex]y' = 1-2\times 1[/tex]
[tex]= -1[/tex]
Since,
This is the slope of the tangent, we take its negative reciprocal to get the slope of normal:
= [tex]-\frac{1}{(-1)}[/tex]
= [tex]1[/tex]
The normal line has slope 1 and goes through (1,0):
→ [tex]y-0=1(x-1)[/tex]
→ [tex]y = x-1[/tex]
We want to know where this intersects [tex]y = x-x^2[/tex], we get
→ [tex]x-1=x-x^2[/tex]
→ [tex]x^2=1[/tex]
→ [tex]x = \pm 1[/tex]
hence,
The point corresponding to (1,0) is the one we started with, so we want x=-1:
→ [tex]x = -1[/tex]
→ [tex]y = x-x^2[/tex]
By substituting the value of "x", we get
→ [tex]= -1-1[/tex]
→ [tex]= -1[/tex]
Thus the answer above is right.
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Write the sum using summation notation, assuming the suggested pattern continues. -8 - 3 + 2 + 7 + ... + 67
The correct answer is [tex]\sum_{n=1}^{20} (-8 + 5(n-1))[/tex]
The sum using summation notation, assuming the suggested pattern continues, can be written as:
[tex]\sum_{n=1}^{20} (-8 + 5(n-1))[/tex]
[tex]-8 - 3 + 2 + 7 + \ldots + 67 = \sum_{n=1}^{20} (-8 + 5(n-1))[/tex]
Explanation:
- The pattern appears to be an arithmetic progression with a common difference of 5.
- The first term is -8, and the common difference is 5.
- The nth term of an arithmetic progression can be expressed as [tex]a_n = a_1 + (n-1)d[/tex], where [tex]a_1[/tex] is the first term, and [tex]d[/tex] is the common difference.
- Substituting [tex]a_1 = -8[/tex] and [tex]d = 5[/tex], we get [tex]a_n = -8 + 5(n-1)[/tex].
- The sum of the first 20 terms of this arithmetic progression can be represented using the summation notation, with the index [tex]n[/tex] ranging from 1 to 20.
Therefore, the sum using summation notation is [tex]\sum_{n=1}^{20} (-8 + 5(n-1))[/tex].
Complete question:
Write the sum using summation notation, assuming the suggested pattern continues.
-8 - 3 + 2 + 7 + ... + 67
summation of the quantity negative eight plus five n from n equals zero to fifteen
summation of negative forty times n from n equals zero to infinity
summation of negative forty times n from n equals zero to fifteen
summation of the quantity negative eight plus five n from n equals zero to infinity
The table below shows the number of students in a school who like tacos and/or pizza:
Like Tacos Do Not Like Tacos Total
Like Pizza 57 13 70
Do Not Like Pizza 12 15 27
Total 69 28 97
What is the relative frequency, by row, of students who like both tacos and pizza?
0.18
0.46
0.81
0.83
Answer:
Relative frequency, by row, of students who like both tacos and pizza is:
0.81
Step-by-step explanation:
Like Tacos Do Not Like Tacos Total
Like Pizza 57 13 70
Do Not Like Pizza 12 15 27
Total 69 28 97
The relative frequency by row is calculated as the ratio of the frequency of the required field to the total frequency of that row
Hence, relative frequency, by row, of students who like both tacos and pizza is:
57/70
=0.81
Line segment AB has a length of 4 units. It is translated 1 unit to the right on a coordinate plane to obtain line segment A prime B prime. What is the length of A prime B prime?
Answer:
4
Step-by-step explanation:
how do you know when to rewrite square trinomials and difference of squares as separate factors
Recognizing the specific forms of square trinomials and the difference of squares allows you to rewrite them as separate factors, simplifying algebraic expressions and facilitating further mathematical operations.
Knowing when to rewrite square trinomials and the difference of squares as separate factors depends on the algebraic expression you are dealing with. Let's consider each case separately.
1. Square Trinomials:
- Square trinomials have the form [tex]\(a^2 + 2ab + b^2\) or \(a^2 - 2ab + b^2\)[/tex], where(a) and (b) are algebraic expressions.
- These trinomials can be factored into the square of a binomial: [tex]\((a + b)^2\) or \((a - b)^2\).[/tex]
- You should rewrite a square trinomial as separate factors when you encounter an expression that matches the form of a perfect square trinomial. Recognizing this pattern allows you to simplify the expression.
2. Difference of Squares:
- The difference of squares has the form [tex]\(a^2 - b^2\),[/tex] where (a) and (b) are algebraic expressions.
- This expression can be factored into the product of conjugates: [tex]\((a + b)(a - b)\).[/tex]
- You should rewrite a difference of squares as separate factors when you have an expression in the form [tex]\(a^2 - b^2\)[/tex]. Recognizing this pattern helps you simplify and factor the expression efficiently.
Help identify!!!! ADB
The value of angle ADB in the triangle ADB is determined as m∠ ADB = 95⁰. (Option A).
How to calculate angle ADB?
The value of angle ADB is calculated by applying intersecting chord theorem and principle of sum of angles in a triangle.
The intersecting chord theorem states that the angle at tangent is half of the arc angle of the two intersecting chords.
So the value of angle A is calculated as follows;
m ∠ BAC = ¹/₂ x arc BC
m ∠ BAC = ¹/₂ x 110
m ∠ BAC = 55
The value of angle ADB is calculated as follows;
m ∠ ABD + m ∠ ADB + m ∠ BAD = 180 (sum of angles in a triangle)
30 + m ∠ ADB + 55 = 180
m ∠ ADB + 85 = 180
m ∠ ADB = 180 - 85
m ∠ ADB = 95⁰
Find all complex solutions of x^2+5x-5=0.
(If there is more than one solution, separate them with commas.)
The complex solutions of x^2+5x-5=0 are (-5 + √45)/(2) and (-5 - √45)/(2).
Explanation:To find the complex solutions of x2+5x-5=0, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac))/(2a)
Substituting the values a=1, b=5, and c=-5 into the formula, we get:
x = (-5 ± √(5^2 - 4(1)(-5)))/(2(1))
Simplifying further,
x = (-5 ± √(25 + 20))/(2)
x = (-5 ± √(45))/(2)
Since the square root of 45 cannot be simplified, we can write the solutions as:
x = (-5 ± √45)/(2)
Therefore, the complex solutions to the equation x2+5x-5=0 are:
x = (-5 + √45)/(2), (-5 - √45)/(2)
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A right triangle has leg lengths of x units and 3(x + 1) units. Its hypotenuse measures 25 units. Find the leg lengths. URGENT! Brainliest to the best answer!
find the area of the kite
The diagonals are 3 cms long each. The area of the kite in the given figure is 9 [tex]cm^2[/tex].
Mathematically, a quadrilateral with two pairs of adjacent sides that are congruent (have equal length) is termed a "kite". Note that not all quadrilaterals with congruent adjacent sides are kites. Kites have numerous applications in geometry, including the study of polygons, symmetry, and angles. They can be used to solve geometric problems and to analyze relationships between sides, angles, and diagonals within the quadrilateral.
Given that the length of the diagonals = 3 cm.
It is known that
Area of a quadrilateral with equal diagonals = product of the diagonals.
Area = 3 [tex]\times[/tex] 3.
Area = 9 [tex]cm^2[/tex].
The area of the kite is 9 [tex]cm^2[/tex].
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Can someone help me out please ? Thanks!
How do I find the linear equation for y=4x-5
Determine the number of possible triangles, ABC, that can be formed given B = 45°, b = 4, and c = 5.
Answer:
2
Step-by-step explanation:
this is right trust
Read the following statement: x + 6 = 6 + x. This statement demonstrates:
the substitution property.
the reflexive property.
the symmetric property.
the transitive property.
The statement x + 6 = 6 + x demonstrates the symmetric property of equality.
Explanation:The given statement x + 6 = 6 + x represents the symmetric property.
The symmetric property of equality states that if a = b, then b = a. In this case, both sides of the equation are the same, with x and 6 appearing in different orders. Thus, the equation satisfies the symmetric property.
For example, if we let x = 2, the equation becomes 2 + 6 = 6 + 2, which is true.
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Can someone please help me solve 91
Given the Arithmetic sequence A1,A2,A3,A4 A1,A2,A3,A4 45, 58, 71, 84 What is the value of A43 A43 ?
Probability help please? In a certain instant lottery game, the chances of a win are stated as "1 in 19." Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive. (round to three decimal places) I am confused and need a step by step instructions. Please help
Final answer:
To convert the chances of a '1 in 19' win into a probability value, you divide 1 by 19 to get 0.05263 and then round to 0.053. Therefore, the lottery win probability is 0.053.
Explanation:
To express the likelihood of a win in a lottery game as a probability value between 0 and 1, when the chances of a win are stated as "1 in 19", you follow these steps:
Understand that "1 in 19" means there is one chance to win for every 19 trials, so the total number of possible outcomes is 19 (18 losses + 1 win).
Express the chance to win as a fraction with the number of wins (1) over the total number of potential outcomes (19).
Convert the fraction into a decimal by dividing the numerator (1) by the denominator (19), which gives you approximately 0.05263.
Round the result to three decimal places, as requested, which gives you a probability value of 0.053.
Therefore, the probability of winning the lottery game is 0.053.
Identify the function that best models the data.
Evaluate the expression below when y = -3.
2y + 7
-4y − 10
i need help#awnser
replace y with -3
2y + 7 becomes 2(-3) + 7 = -6 +7 =1
-4(-3)-10 = 12-10 = 2
A bird's nest is on top of a power pole that is 30 feet tall. The bird is above the nest and the angle formed from the nest to the bird is 25°. The horizontal distance from the bird to the pole is 100 feet. Approximately how far is the bird above the ground?