Answer:
7.
∠M=51°
8.∠ABC=125°
Step-by-step explanation:
when we extend one line of a triangle ,the external angle is equal to the sum of two opposite internal angles.
7.
151-2y=84+6y+3
151-2y=87+6y
151-87=6y+2y
64=8y
y=64/8=8
∠M=6y+3=6×8+3=48+3=51°
8.
20x-15=90+5x
20x-5x=90+15
15x=105
x=105/15=7
∠ABC=20x-15=20×7-15=140-15=125°
given a data set consisting of 33 unique whole number observations, its five-number summary is: [13,24,38,51,69] how many observations are strictly less than 24? a) 7 b) 9 c) 23 d) 8
The number of observations strictly less than 24 is 7.
The five-number summary consists of the minimum value (13), the first quartile (Q1) or 25th percentile (24), the median or second quartile (Q2) or 50th percentile (38), the third quartile (Q3) or 75th percentile (51), and the maximum value (69).
Since Q1 represents the value below which 25% of the observations lie, and the five-number summary indicates that Q1 is 24, it means that 25% of the observations are less than or equal to 24.
Therefore, the number of observations strictly less than 24 is 25% of 33, which equals 7.
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Nancy divided her marbles into 7 equal piles. What
fraction of the total marbles would 2 piles be?
Which expression is equivalent to 4(6 + 8)? (1 point)
a
10 + 12
b
10 + 8
c
24 + 32
d
24 + 8
plz help mark you brainlyiest!
Answer:
C. 24 + 32
Step-by-step explanation:
Step 1 - Distribute
4 • 6 = 24
4 • 8 = 32
24 + 32
Choose the equation that represents the line passing through the point
(-3, -1) with a slope of 4.
A. y = 4x - 11
B. y= 4x + 11
C. y= 4x+ 7
D. y= 4x - 7
Answer:
B
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = 4 , then
y = 4x + c ← is the partial equation
to find c substitute (- 3, - 1 ) into the partial equation
- 1 = - 12 + c ⇒ c = - 1 + 12 = 11
y = 4x + 11 ← equation of line
how many ways can rudy choose 5 pizza toppings from a menu of 20 toppings if each topping can only be chosen once?
Question 3 options:
Premises:
If you have a cat, then it will chase mice.
You have a cat.
Conclusion:
Your cat will chase mice.
The Law of
The law of mathematical logic that was used to derive the given conclusion is; Law of Syllogism
What is the Law of Syllogism?The law of syllogism is defined as a type of logical argument using deductive reasoning.
Now, In mathematical logic, the Law of Syllogism states that if the following two statements are true:
(1) If d , then e .
(2) If e , then f .
Then we can derive a third true statement:
(3) If d , then f .
Now, applying that law to our question, we see that;
1) If you have a cat, then it will chase mice.
2) You have a cat.
Then we can derive a third true statement:
3) Your cat will chase mice.
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Solve the system. y = x^2 - 10x + 15 and y = -10
Answer:
x=5, y=-10
Step-by-step explanation:
y = x²-10x+15 --- eqn 1
y = -10 --- eqn 2
Sub eqn 2 into eqn 1:
x²-10x+15 = -10
x²-10x+15+10 = 0
x²-10x+25 = 0
(x-5)² = 0
x-5 = 0
x = 5
A salesman will earn a commission of 1/10 of the total amount sold.if he sells a car with a price of 24,000 what is his commission
Answer:
Step-by-step explanation:
1/10=0.1
if the total sales is 26,000
the commission will be 26,000*0.1=2,600 dollars
calls for dial-in connections to a computer center arrive at an average rate of four per minute. the calls follow a poisson distribution. if a call arrives at the beginning of a one-minute interval, what is the probability that a second call will not arrive in the next 20 seconds?
The probability that a second call will not arrive in the next 20 seconds is approximately 0.2636 or 26.36%.
What is Poisson probability?Poisson probability is a mathematical concept that describes the probability of a certain number of events occurring in a fixed interval of time or space, given a known average rate of occurrence. The Poisson probability distribution is named after French mathematician Siméon Denis Poisson, who introduced it in the early 19th century to model the occurrence of rare events, such as errors in counting or measurement, accidents, or phone calls.
The Poisson probability distribution is a discrete probability distribution that gives the probability of a certain number of events (x) occurring in a fixed interval (t), when the average rate of occurrence (λ) is known. The Poisson probability distribution assumes that the events occur independently and at a constant average rate over time or space. The formula for Poisson probability is:
P(x; λ) = (\(e^{-\lambda}\)) * λˣ) / x!
where:
P(x; λ) = the probability of x occurrences in a given interval, when the average rate is λ
e = a mathematical constant e (approximately 2.71828)
λ = it is the average rate of occurrence in the given interval
x = it is number of occurrences in the given interval
Given that calls for dial-in connections arrive at an average rate of four per minute and follow a Poisson distribution, we can use the Poisson probability formula to solve this problem. The Poisson probability formula is:
P(x; λ) = (\(e^{-\lambda}\)) * λˣ) / x!
where:
P(x; λ) = the probability of x occurrences in a given interval, when the average rate is λ
e = a mathematical constant e (approximately 2.71828)
λ = the average rate of occurrence in the given interval
x = it is the number of occurrences in the given interval
In this problem, we are interested in finding the probability that a second call will not arrive in the next 20 seconds, given that a call has already arrived at the beginning of a one-minute interval. Since we are given the average rate of calls per minute, we need to adjust the interval to 20 seconds, which is 1/3 of a minute. Therefore, the average rate of calls per 20 seconds is:
λ = (4 calls/minute) * (1/3 minute) = 4/3 calls/20 seconds
Using the Poisson probability formula, we can calculate the probability of no calls arriving in the next 20 seconds:
P(0; 4/3) = ( \(e^{-4/3}\)* (4/3)⁰) / 0! = \(e^{-4/3}\) ≈ 0.2636
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what is [4(30-5)]÷10/2
Answer:
5
Step-by-step explanation:
I think ;- ; sorry
Answer:
0.0032
Step-by-step explanation:
start with [4(30-5)]/10/2
simplify to get:
[4(25)]/10/2
simplify to get:
0.16/10/2
simplify to get:
0.016/5
simplify to get your answer:
0.0032
Finn plants 45 small bushes during a 6 hour shift at his landscaping job. Assuming he works at the same rate, how many small bushes will Finn plant during an 8 hour shift?
see how much bushes finn can plant in 2 hrs, so 45 dvide 3 = 15. so then, now u know he can plant 15 bushes in 2 hrs and 45 bushes in 6 hrs, so add the hrs together and u get 8 hours, and 15+45 = 60. so ur answer is finn will plant 60 bushes in 8 hrs
Find the value of x in the triangle shown below.
15
х
9
Answer:
x=12
Step-by-step explanation:
\(x^{2}\)=\(15^{2}\)-\(9^{2}\)
\(x^{2}\)=225-81
\(x^{2}\)=144 /sqrt
x=12
the quotent of 6 and a number r
Answer:
6/r
Step-by-step explanation:
Quotient is the result of a division.
Answer: 6/r
Solve for the unknown variable
Answer:
1) a = 8
2) q = 23
Step-by-step explanation:
1)
(a - 2) / 9 = 2 / 3
(a - 2) = (2 / 3) * 9
a - 2 = 18 / 3
a - 2 = 6
a = 6 + 2
a = 8
2)
(q + 2) / 5 = (2q - 11) / 7
q/5 + 2/5 = 2q/7 - 11/7
2/5 + 11/7 = 2q/7 - q/5
69/35 = 3q / 35
(69/35) * 35 = 3q
69 = 3q
69/3 = q
23 = q
a designer is making a banner, as shown in the diagram, of width 5x and height 3x, where x is in feet. one foot of material on each side is gray, as shown below
The function for the area of the rectangular white space is given as follows:
A = 15x² - 6x.
How to obtain the area of a rectangle?The area of a rectangle of length l and width w is obtained by the multiplication of these dimensions, as follows:
A = lw.
For the white space in the rectangle shown by the image at the end of the answer, these dimensions are given as follows:
w = 5x - 2, as one feet is subtracted on each end of the base.l = 3x, as stated in the problem.The area is given by the multiplication of these dimensions, hence it is obtained as follows:
A = lw
A = (5x - 2)3x
A = 15x² - 6x.
Missing informationThe problem asks for the area of the rectangular white space given by the image at the end of the answer.
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help me please!!!!!!!!!!! i
Answer:
rad66/11
Step-by-step explanation:
Using Sohcahtoa, you can find that the tangent is the opposite side over the adjacent side. This means that the tangent of angle X is 2rad6/2rad11. You then simplify it to rad6/rad11. Preferably, a radical shouldn't be in the denominator. You can muliply both sides by rad 11 to balance the equation into rad66/11.
Sally has read one-third of her book. She finishes the book by reading the same amount each night for 5 nights. Part A. What fraction of the book does she read each of the 5 nights
Answer:
2/15
Step-by-step explanation:
Given that she have already read one-third of the book.
The fraction f of the book that will remain is;
f = 1 - 1/3 = 2/3
Then she finishes the book by reading the same amount each night for 5 nights
That implies she reads the remaining 2/3 of the book at equal rates for 5 nights.
Let x represent the fraction rate read per night;
5x = 2/3
Divide both sides by 5
x = 2/3 × 1/5
x = 2/15
Therefore, she reads 2/15 of the book every night for 5 nights.
in the expression, -2(6x + y) is equal to -12x -2y ?
which expression is equivalent to (5m)³
Answer:
The expression (5m)³ can be expressed as 5into 5into 5·intom·xm·xm
Which function has a constant additive rate of change of –1/4?
A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1).
A coordinate plane with a curved line passing through (negative 1, 2), (0, negative 1), the minimum (2, negative 2), and (4, negative 1).
A two column table with five rows. The first column, x, has the entries, 20, 21, 22, 23. The second column, y, has the entries negative 1, negative 1.5, negative 2, negative 2.5.
A two column table with five rows. The first column, x, has the entries, negative 12, negative 11, negative 10, negative 9. The second column, y, has the entries, 7, 11, 14, 17.
Answer:
a
Step-by-step explanation:
did it in edge
Answer:
the answer is the first one
Step-by-step explanation:
I toke the test
What is the value of x in the equation shown below
0.75x + 3 = 6(x - 3)
Answer: x=4
Step-by-step explanation: 0.75x+3=6(x−3)
0.75x+3=(6)(x)+(6)(−3)
0.75x+3=6x+−18
0.75x+3=6x−18
0.75x+3−6x=6x−18−6x
−5.25x+3−3=−18−3
−5.25x /−5.25 =− 21 /−5.25
x=4
5.) In 2012 the cost of a ticket to an arts
festival was $30.This was 20% more
than the ticket cost in 2011.
Calculate the cost of the ticket in 2011.
9514 1404 393
Answer:
$25
Step-by-step explanation:
If c is the 2011 cost, then we are told ...
30 = c + 20%×c
30 = 1.2c . . . . . . simplify
30/1.2 = c = 25 . . . . . divide by the coefficient of c
The 2011 cost was $25.
Solve the following system of equations graphically on the set of axes below.
y= 3x-6
y= -1/2x+8
like how would you graph this because it is on delta math
I really need help
Answer:
{ 3x - y = 6
{ x + 2y = 16
Step-by-step explanation:
1- Simplify
*The Graph is in the attachment, hope this helps :)
The image of a composite figure is shown.
A four-sided shape with the top side labeled as 9.2 cm. The height is labeled 5 cm. A portion of the base from the perpendicular to a vertex is labeled 3 cm. The portion of the base from the perpendicular to the right vertex is 6.2 cm.
What is the area of the figure?
46 cm2
64.4 cm2
32.2 cm2
39 cm2
The answer is (D) 39 cm²
What is the formula of a trapezoid?
The formula Area of trapezoid = 1/2 (a + b) h is used to determine the area of a trapezoid, where a and b are the bases (parallel sides) and h is the perpendicular height.
According to figure,
The portion of the base from the perpendicular to the right vertex is 6.2 cm, so we can label the remaining side as 3 + 6.2 = 9.2 cm.
shape is actually a trapezoid, with bases of 9.2 cm and 6.2 cm, and a height of 5 cm. The area of a trapezoid is given by the formula:
Area = (base1 + base2) * height / 2
Substituting the given values, we get:
Area = (9.2 + 6.2) * 5 / 2
Area = 15.4 * 5 / 2
Area = 38.5 cm²
Rounding to the nearest whole number, we get an area of 39 cm². Therefore, the answer is (D) 39 cm².
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Daniel wants to do 312 practice problems to prepare for an exam. If he wants to do approximately the same number of problems each day for 36 days, which best describes the number of problems that he needs to do each day?
Answer: 8/9 questions
Step-by-step explanation: 312/36= 8.6...
The answer depends on if you want to round up or down.
A triangle has sides that measure 3 cm, 4 cm, and 5 cm. What type of triangle is it?
help pls
Answer:
it is A Scalene Triangle
complete the table below and write an equation to represent function
The table has been completed below.
An equation to represent the function P is P(x) = 4x.
How to complete the table?In order to use the given linear function to complete the table, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;
By substituting the given side lengths into the formula for the perimeter of a square, we have the following;
Perimeter of square, P(x) = 4x = 4(0) = A = 0 inches.
Perimeter of square, P(x) = 4x = 4(1) = B = 4 inches.
Perimeter of square, P(x) = 4x = 4(2) = C = 8 inches.
Perimeter of square, P(x) = 4x = 4(3) = D = 12 inches.
Perimeter of square, P(x) = 4x = 4(4) = E = 16 inches.
Perimeter of square, P(x) = 4x = 4(5) = F = 20 inches.
Perimeter of square, P(x) = 4x = 4(6) = G = 24 inches.
In this context, the given table should be completed as follows;
x 0 1 2 3 4 5 6
P(x) 0 4 8 12 16 20 24
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Which of the following is a radical equation?
A. x StartRoot 3 EndRoot = 13
B. x + StartRoot 3 EndRoot = 13
C. StartRoot x EndRoot + 3 = 13
D. x + 3 = StartRoot 13 EndRoot
Answer:
C. StartRoot x Endroot + 3 = 13
Step-by-step explanation:
the x variable under the root is what makes it a radical. all of the others dont have an x variable under the root. hope this helps !
Abdul runs 6 miles in 45 minutes. At the same rate, how many minutes would he take to run 4 miles?
Answer:
30min
Step-by-step explanation:
miles : minutes
6 : 45
4 : x
6x=45-4 (cross multipliy )
6x=180
x=180/6=30
x=30mins
If f(x) = 9, what is x?
Answer:
x = 9
Step-by-step explanation:
f(x) = 9
x is 9.......