Answer:
In a 45°-45°-90° triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?
I took the test and this is the correct answer:
11√ 2 inches
Step-by-step explanation:
A large bag of marbles contains an equal amount of red, orange, yellow, blue, and green marbles. Brody randomly selects 1 marble from the bag. Which of the following represents the probability of selecting a red, blue, yellow, or green marble
A) 0.8
B) 0.7
C) 0.9
D) 0.6
Answer: The correct option is (A) 0.8.
Step-by-step explanation: Given that a large bag of marbles contains an equal amount of red, orange, yellow, blue, and green marbles. Brody randomly selects 1 marble from the bag.
We are to find the probability of selecting a red, blue, yellow or green marble.
Let n be the number of each color of marbles in the bag.
That is, the number of red, orange, yellow, blue, and green marbles, each equals n.
Let S denote the sample space of selecting a marble from the bag and A denote the event of selecting a red, blue, yellow or green marble.
Then, we have
n(S) = n + n + n + n + n = 5n,
n(A) = n + n + n + n = 4n.
Therefore, the probability of event A is given by
[tex]P(A)=\dfrac{n(A)}{n(S)}=\dfrac{4n}{5n}=\dfrac{4}{5}=0.8.[/tex]
Thus the required probability selecting a red, blue, yellow or green marble is 0.8.
Option (A) is CORRECT.
The area of a right triangle with one leg measuring 5ft and hypotenuse measuring 13ft is
A 30ft to the 2
B 37.5 ft to the 2
C 65ft to the 2
which are the solutions of the quadratic equation x^2=9x+6
The solutions of the quadratic equation [tex]\(x^2 = 9x + 6\)[/tex]are:
[tex]\[x = \frac{9 + \sqrt{105}}{2}\][/tex] and [tex]\[x = \frac{9 - \sqrt{105}}{2}\][/tex]
To find the solutions of the quadratic equation [tex]\(x^2 = 9x + 6\)[/tex], we need to rewrite it in standard quadratic form [tex]\(ax^2 + bx + c = 0\).[/tex]
Given:
[tex]\[x^2 = 9x + 6\][/tex]
Subtract [tex]\(9x\) and \(6\)[/tex] from both sides to get it in standard form:
[tex]\[x^2 - 9x - 6 = 0\][/tex]
Now, to solve this quadratic equation, we can factor it or use the quadratic formula:
The quadratic formula is:
[tex]\[x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}\][/tex]
For our equation:
[tex]\[a = 1, b = -9, \text{ and } c = -6\][/tex]
Substituting these values into the quadratic formula:
[tex]\[x = \frac{-(-9) \pm \sqrt{(-9)^2-4(1)(-6)}}{2(1)}\]\[x = \frac{9 \pm \sqrt{81+24}}{2}\]\[x = \frac{9 \pm \sqrt{105}}{2}\][/tex]
So, the solutions of the quadratic equation [tex]\(x^2 = 9x + 6\)[/tex]are:
[tex]\[x = \frac{9 + \sqrt{105}}{2}\][/tex] and [tex]\[x = \frac{9 - \sqrt{105}}{2}\][/tex]
Please help me answer
A teacher gave his class two quizzes; 80% of the class passed the first quiz, but only 60% of the class passed both quizzes. What percent of those who passed the first quiz also passed the second quiz?
the answer to the question is 75%
Answer:
75
Step-by-step explanation:
P(2ndquiz|1st quiz)=P(passed both quizzes)/P(1st )=0.06/0.08=0.75 that means 75%
Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.A cube-shaped bin has an edge length of 34 yard.What is the volume of the container? Enter your answer, as a fraction in simplest form, in the box.
What is the missing value in the following arithmetic sequence?
Answer:
Step-by-step explanation:
Alright, lets get started.
The first term is 2 and the second term is 3.8.
It means the common difference is [tex]3.8-2 = 1.8[/tex]
So, adding common difference :
First term = 2
Second term = 3.8
Third term = [tex]3.8+1.8=5.6[/tex]
Fourth term = [tex]5.6+1.8 = 7.4[/tex]
So the answer is 7.4 : answer
Hope it will help :)
Simplify the expression. w5(w2)–4
Answer:
[tex]\frac{1}{w^{3} }[/tex]
Find the product of (x + 5)(x − 5). (1 point)
x2 − 10x + 25
x2 + 10x + 25
x2 − 25
x2 + 25
Abby walked miles on Monday, miles on Tuesday, and miles on Wednesday. What is the total distance Abby walked in the three days?
a. miles
b. miles
c. miles
d. miles
Answer:WE Cant se the numbers
Step-by-step explanation:the ancwer would be 7 and 7/12
99pts WILL GIVE BRAINLIEST Use the diagram and given information to answer the questions and prove the statement. Given: X Z
Prove: [see image] Re-draw the diagram of the overlapping triangles so that the two triangles are separated.
What additional information would be necessary to prove that the two triangles, XBY and ZAY, are congruent?
What congruency theorem would be applied?
Prove using a list/flow chart proof.
Help me solve this math problem
algebra help please?
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
we are given
[tex]\frac{3x^6-19x^4-4x^3-24x^2+2x+178}{-2x^2-6}[/tex]
we can use long division method to divide it
so, we get
[tex]Quotient=-\frac{3x^4}{2}+14x^2+2x-30[/tex]
[tex]Remainder=14x-2[/tex]...........Answer
If the clock has a radius of 15 inches, how many inches of ribbon will terry need to use to surround the clock?
The sales tax on a $250 computer is 17.50. find the sales tax rate.
2, 4, 6, 8, 10
I know this diverges but what is the limit?
Also, is there a limit with numbers that repeat? (ie: -1,1,-1,1...(-1)^n)
Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(1). 2 8 10 4
A freight carrier charges $0.57 for a package weighing up to one ounce plus and additional $0.32 for each additional ounce or fraction of an ounce. A company is shipping a package weighing 224 grams. What is the weight of the package in ounces?
Answer:
its is 8 oz 224 grams is = to 7.901
Step-by-step explanation:
Compare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution. Equation #1 Equation #2 |2x - 4| = 5 |3x - 4| = -12 Equation #1 and Equation #2 have the same number of solutions. Equation #1 has more solutions than equation #2. Equation #1 has fewer solutions than equation #2. None of the statements above describe the number of solutions to equations shown.
12 ticket sellers, 25 cleaning persons, and 15 ushers employees will be paid $10, $7.50, 8.50 per hour for 50 hours per month what is the monthly salary
PLZ HELP ME ON THIS
PLZ EXPLAIN IT TO ME
6.3% of 41 is?
a. 2.6
b. 6.5
c. 258.3
d. 650.8
Can someone please help me solve for x and y? Thank you
Carbon-14 has a half-life of 5,730 years. If the age of an object older than 50,000 years cannot be determined by radiocarbon dating, then
* carbon-14 levels in a sample are undetectable after approximately ten half-lives.
* carbon-14 levels in a sample are undetectable after approximately nine half-lives.
* the half-life of carbon-14 is too long to accurately date the object.
* a radioisotope with a shorter half-life should be used to date the object.
A sphere has a radius of 2x + 5. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula S = 4pir2 for surface area of a sphere.
Please help thank you!
The table shows the snack preferences of 50 shoppers at the mall. What is the probability that one shopper, selected at random from the 50 surveyed, preferred the potato chips or pretzels? Fruitsnacks/9 shoppers, Potatochips 12 shoppers, Apple 3 shoppers, pretzels 14 shoppers, Water 12 shoppers ---> are the answers for the question---> A. one over five B. thirteen over twenty-five C. one over ten D. eighteen over twenty five
If the function graphed is f(x), find f(1).
A) -4
B) -1/4
C) 0
D) 4
Please help.
What are the dimensions of the matrix?
⎡1 0 9⎤
⎢-2 3 5⎢
⎢5 4 -6⎢
⎣11 5 7⎦
Enter your answers in the boxes.
The matrix is a [_] × [_] matrix.
The size of a matrix is defined by the number of rows and columns that it contains.
The dimensions of a matrix are the number of rows by the number of columns.
The number of rows and columns of a matrix, written in the form rows×columns.
The given Matrix has four rows and three columns,
The rows go side to side; the columns go up and down. "Row" and "column" are technical terms, and are not interchangeable.
Matrix dimensions are always given with the number of rows first, followed by the number of columns.
The matrix is a [4_] × [3_] matrix.