The equation of a horizontal line passing through the point (−3, 8) is y= 8
How to determine the equation of a horizontal line passing through the point (−3, 8)
From the question, we have the following parameters that can be used in our computation:
The point (−3, 8)
The equation of a horizontal line is of the form
y = c, where
c is a constant.
Since the line is horizontal, the value of y is constant for all points on the line.
In this case, the line passes through the point (−3,8), so the equation of the horizontal line is y = 8.
X and Y are two mutually exclusive events. P(X)= 0.55 and P(X or Y)=0.7. Work out P(not Y) (2 marks)
To find the probability of not Y occurring when events X and Y are mutually exclusive, we subtract P(X) from P(X or Y) to get P(Y) and then subtract P(Y) from 1 to get P(not Y), resulting in a probability of 0.85.
The question asks us to find the probability of not event Y occurring, given that X and Y are mutually exclusive events, and we're provided with P(X) and P(X or Y). Since X and Y are mutually exclusive, the sum rule of probability states that P(X or Y) = P(X) + P(Y). Using the given values, we can express P(Y) as P(X or Y) - P(X), which is 0.7 - 0.55 = 0.15. Since the probability of an event and its complement sum to 1, P(not Y) is 1 - P(Y), which gives us 1 - 0.15 = 0.85.
Therefore, the probability of not Y is 0.85.
A farmer owns a total of 8 acres of land. The land is separated into 313 equally sized sections. How many acres are in each section?
PLEASE HELP! GEOMETRY
given an exponential function for compounding interest, A(x)=P(1.02)^x, what is the rate of change?
Answer:Its 2% guys
Step-by-step explanation:
The temperature outside is dropping at 3°/h. Given that the temperature at noon was 0°, what would the temperature at 1 PM at 2 PM at 3 PM and 6 PM what was the temperature T hours afternoon
What algebraic expression models the word phrase three fewer than the sum of c and d?
Luis needs to run no less than 120 miles in order to go with the cross country team to a summer training camp. He has thirty days to pre-train for the camp. Which inequality can be used to find how many miles Luis must run each day to meet this goal?
30 days to run at least 120 miles
120/30 = 4
let x = number of days
he needs to run at least 4 miles per day
so x≥4 ( do any of your choices look like this?)
Factor the expression y4 − 81 using the polynomial identity (x2 − y2) = (x − y)(x + y).
Given that the legs of a right triangle measure a and b and the hypotenuse of the triangle measures c, what does the Pythagorean Theorem state about the sides of this triangle? a2 + c2 = b2 a2 − b2 = c2 2a + 2b = 2c a2 + b2 = c2
The Pythagorean Theorem establishes the relationship between the sides of a right triangle, highlighting that the sum of the squares of the two shorter sides equals the square of the hypotenuse.
The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse). In mathematical terms, it is represented as a² + b² = c². This relationship applies to all right triangles and is fundamental in geometry.
Which of the following is a true statement a.5/6>10/12
B.6/9=1./3
C.13/15>4/5
D.1/4>1/3
The true statements among the given statement by converting them as like fractions is equal to option c. 13/15 > 4/5.
To compare fractions, it's helpful to have them with the same denominator.
Let's convert each fraction to a common denominator, and then we can compare them:
a. 5/6 > 10/12
Common denominator for 6 and 12 is 12:
5/6 = 10/12
So, a is not true.
b. 6/9 = 1/3
Both fractions are simplified and convert to have same denominator (9),
6/9 and 3/9
6/9 > 3/9
so b is not true.
c. 13/15 > 4/5
Both fractions are simplified and convert to have the same denominator (15),
4/5 = 12/15
13/15 > 12/15
and we can see that 13/15 is greater than 4/5, so c is true.
d. 1/4 > 1/3
To compare these fractions, we need a common denominator, which is 12:
1/4 = 3/12
1/3 = 4/12
Now we can see that 1/3 is greater than 1/4, so d is not true.
Therefore, the true statements is option c. 13/15 > 4/5.
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Which lines are parallel in the square pyramid?
Select each correct answer.
BC←→ and DE←→
CD←→ and BE←→
AD←→ and BC←→
AB←→ and AD←→
A square pyramid is a pyramid with a square base. In this problem, this base is formed by the points B, C, D and E as illustrated in the Figure above. So, the correct answers are:
First. (BC←→ and DE←→)
This is indicated in Figure 1. As you can see, the red lines are parallel, that is:
[tex]\overline{BC} \ is \ parallel \ to \ \overline{DE}[/tex]
Recall that two lines are parallel if they are always the same distant apart in which case they are equidistant, that is, they never meet.
Second. (CD←→ and BE←→)
This is indicated in Figure 2. As you can see, the green lines are parallel, that is:
[tex]\overline{CD} \ is \ parallel \ to \ \overline{BE}[/tex]
Answer: The correct options are
(A) BC←→ and DE←→
(B) CD←→ and BE←→
Step-by-step explanation: We are given to select each pair of sides that are parallel to each other in the square pyramid.
We know that
the base of a square pyramid is a square. And the opposite sides of a square are parallel to each other.
So, in the given square pyramid ABCDE, the base is a square BCDE.
Therefore, the pair of parallel sides are
BC and DE ; CD and BE.
This implies that option (A) and (B) are correct.
Thus, the correct options are (A) and (B).
Do you know the answer to this question
Does prime factorization rename a composite number as the product of prime factors
Answer:
Yes
Step-by-step explanation:
Prime factorization does rename a composite number as the product of prime factors.
In a work-out facility, there are two racks with 40 towels per rack. on tuesday, there were 30 towels in use, on wednesday 50, and on thursday 25. what fraction, on average, is in use for the 3 days?
Solve for B.
R = x(A+B)
find the inverse of f(x)=-3x+3
-4(5a - 6b + 10c - 3)
1) what is the answer to 5(3x-2y)+2(x+2y)-3(3x-2y)?
a= 8x-12y
b= 8x
c= 8x-8y
d= 8xy
2) what is the answer to 2x-3+3x-5?
a= -x-8
b= 5x-8
c=-x+2
d= 5x+2
The rest of the numbers are cut offf
225
250
270
there are 8 sides so the angles are 360/8 = 45
the answer is 45 degrees
There are students in three rows taking a test. there are 22 students in the first row, 19 students in the second row, and a certain number of students in the third row. if there are a total of 62 students, how many students are in the third row?
To determine how many students are in the third row, subtract the sum of the students in the first two rows (22 + 19 = 41) from the total number of students (62). The result is that there are 21 students in the third row.
The student is asking a question related to basic arithmetic, specifically subtraction and problem-solving skills. To find out how many students are in the third row, we subtract the number of students in the first two rows from the total number of students. There are 22 students in the first row and 19 in the second row. The total number of students is 62.
So, we calculate the number in the third row as follows:
Calculate the combined number of students in the first two rows: 22 (first row) + 19 (second row) = 41 students.Subtract the number of students in the first two rows from the total number of students: 62 (total) - 41 (combined first and second rows) = 21 students.Therefore, there are 21 students in the third row.
What is the measure of ∠F?
What is the measure of ∠R?
What is the measure of ∠C?
Answer: The measure of ∠F=55°
The measure of ∠R=36°
The measure of ∠C=43°
Step-by-step explanation:
The angle sum property of triangle say that the sum of all the interior angles of a triangle is 180 degrees.Therefore By using angle sum property in Δ RST
∠R+∠S+∠T=180°
⇒∠R+76°+68°=180°
⇒∠R=180°-144°
⇒∠R=36°
In Δ CDE, where ∠C is a right angle.
∠C+∠D+∠E=180°
⇒∠C+90°+47°=180°
⇒∠C=180°-137°
⇒∠C=43°
In ΔDEF
∠D+∠E+∠F=180°
⇒104°+21°+∠F=180°
⇒∠F=180°-125°
⇒∠F=55°
Figure ABCD is a square. Prove BD ≅ AC. Statements Reasons 1. ABCD is a square 1. given 2. ∠DAB, ∠ABC, ∠BCD, and ∠CDA are right angles 2. definition of a square 3. ∠DAB ≅ ∠ABC ≅ ∠BCD ≅ ∠CDA 3. right angles are congruent 4. AB ≅ BC ≅ CD ≅ DA 4. ? 5. △BAD ≅ △ABC 5. SAS 6. BD ≅ AC 6. CPCTC What is the missing reason in the proof?
The missing reason for statement 4 in the given proof is: all sides are congruent.
What are Congruent Sides?Congruent sides are corresponding sides of corresponding figures that are congruent to each other. This means, they have the same measure of length.
In the proof given, statement 4 states that: AB ≅ BC ≅ CD ≅ DA. This implies equal lengths of sides AB, BC, CD, and DA.
Therefore, the missing reason in the proof is: all sides are congruent.
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solve the equation x-4-3x=-2x-3-1
Answer:
the equation is true for any value of x
Step-by-step explanation:
The equation simplifies to ...
-2x -4 = -2x -4
This is true for any value of x. There are an infinite number of solutions.
15+r in verbal expression
A psychology class consists of 14 males and 36 females. if the professor selects names from the class list using random sampling, what is the probability that the first student selected will be a female? if a random sample of n = 3 students is selected and the first two are both females, what is the probability that the third student selected will be a male?
Final answer:
The probability of selecting a female first from a class with 14 males and 36 females is 0.72. If the first two students selected are females, the probability that the third student will be a male is approximately 0.292.
Explanation:
The subject of this question is Mathematics, specifically dealing with the concept of probability in a high school level. We are to determine two probabilities: the chance of selecting a female student first from a class, and the likelihood of selecting a male student third given that the first two selected were females.
To find the probability of selecting a female first, we need to consider the total number of students and the number of females. The class has 14 males and 36 females, so the total number of students is-
14 + 36 = 50
The probability of selecting a female first is therefore the number of females divided by the total number of students, which is-
36/50 or 0.72
For the second probability, since the first two students selected are females, we now have a reduced pool of 34 females and 14 males, with a new total of 48. The probability of the third student being a male is then 14/48, which simplifies to 0.292 approximately.
Skylar needs to buy a pair of dress pants for $40, a shirt for $30, and a tie for $20. Skylar has three coupons. The first coupon gives him x percent off on a shirt. The second coupon gives him y percent off on the dress pants. The third coupon gives him z percent off on his total purchase. He cannot combine the coupon for the total purchase with the other two coupons. These expressions give both possibilities for the total cost of Skylar's purchase after the coupons are applied. The variables represent percentages as decimals. (1−x)30+(1−y)40+20 (1−z)(40+30+20) Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?
Answer:
the answer is (1-y)
Step-by-step explanation:
i took the calculator and did the math and got that
One survey estimates that, on average, the retail value of a mid-sized car decreases by 8% annually. If the retail value of a car is V dollars today, which expression represents the car’s value 1 year later?
What is n. S=180n-360
How many pounds are 40kg
How can you use a number line to add and subtract like fractions?