When 2 dice are rolled, the sum of both faces is calculated. Determine the
probability of the event: Rolling a sum of 10. Justify your answer.
Answer:
3/36 or 1/12
Step-by-step explanation:
there are a possible 36 outcomes
probability of rolling a ten has 3 chances of happening:
5, 5
4, 6
6, 4
$1 US is equivalent to about 6.56 Chinese yuan. A two-bedroom presidential suite on the top floor of a high-end hotel in Shanghai, China was listed at 25,000 yuan per night. What is the cost of this suite per night in US dollars?
Answer: About 3,811 US dollars.
Step-by-step explanation:
Divide 25,000 with 6.56. That equals about 3,811 US dollars.
hope this helps :)
1. Socks are on sale at 10% discount. What is the sale price of a pair of socks originally
marked #125.00?
Answer:
10/100 = x/125
1250 = 100x
1250/100 = 100x/100
12.5 = x
125 - 12.5 = 112.5
the sale price is $112.5
Consider the line y=5/3x+1.
Find the equation of the line that is perpendicular to this line and passes through the point (-9,5).
Find the equation of the line that is parallel to this line and passes through the point (-9,5).
Equation of perpendicular line:
Equation of parallel line:
Answer:
similar to your question hope it will helpful for you
Step-by-step explanation:
I've done step by step hope it helps
10 Which value of x makes the inequality 3x+3 > 15
true?
A x= 5
B. x = 2
C. x= 3
D. x = 4
Answer:
A, x=5
Step-by-step explanation:
By simplifying the inequality we get:
The only answer that is greater than 4 is A.
Answer:
yes
Step-by-step explanation:
The Airbus A380 airplane is 79 feet 1 inch tall. How many inches tall is the airplane?
Answer:
949 inches
Step-by-step explanation:
79(12)+1=949 inches
Answer:
949 inches
Step-by-step explanation:
1 feet=12 inches
79·12=948
948+1=949 inches
79 feet=12 inches
So the airplane is 949 inches tall
HOPE THIS HELPS!
Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical values of the coefficients. (a) x − 20 x2 + x − 20 Incorrect: Your answer is incorrect. (b) x2 x2 + x + 20 Incorrect: Your answer is incorrect.
Answer:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x - 20}{ x^2 + x - 20}[/tex]
Required
Decompose into partial fraction
Start by factorizing the denominator:
[tex]x^2 + x - 20 =x^2 + 5x -4x- 20[/tex]
[tex]x^2 + x - 20 =x(x + 5)-4(x+5)[/tex]
[tex]x^2 + x - 20 =(x-4)(x+5)[/tex]
So, we have:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]
Take LCM
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A(x+5)+B(x-4)}{(x-4)(x+5)}[/tex]
Cancel out the denominator
[tex]x - 20 = A(x+5)+B(x-4)}[/tex]
Open brackets
[tex]x - 20 = Ax+5A+Bx-4B[/tex]
Collect Like Terms
[tex]x - 20 = Ax+Bx+5A-4B[/tex]
[tex]x - 20 = (A+B)x+5A-4B[/tex]
By comparison;
[tex](A +B)x = x[/tex] ==>[tex]A + B = 1[/tex]
[tex]5A - 4B = 1[/tex]
Make A the subject in [tex]A + B = 1[/tex]
[tex]A = 1 - B[/tex]
Substitute 1 - B for A in [tex]5A - 4B = 1[/tex]
[tex]5(1-B) -4B = 1[/tex]
[tex]5-5B -4B = 1[/tex]
[tex]5-9B = 1[/tex]
Collect Like Terms
[tex]-9B = 1 - 5[/tex]
[tex]-9B = - 4[/tex]
[tex]B = \frac{4}{9}[/tex]
[tex]A = 1 - B[/tex]
[tex]A = 1 - \frac{4}{9}[/tex]
[tex]A = \frac{9-4}{9}[/tex]
[tex]A = \frac{5}{9}[/tex]
So:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]
se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m cual es el area que se va a pintar?
Answer:
El área total a pintar será:
[tex]A_{tot}=25.2\: m^{2}[/tex]
Step-by-step explanation:
Sabiendo el apotema y la longitu de los lados, podemos encontrar el área de un triangulo. Recordemos que, si trazamos rectas del centro del hexágono a los vértices, se formaran 6 triángulos equiláteros.
El área de un triángulo es:
[tex]A_{t1}=\frac{b*a}{2}[/tex]
b es la longitud de la base (b=3 m)
a es la apotema, osea la altura del triangulo (a = 2.8)
[tex]A_{t1}=\frac{2.8*3}{2}[/tex]
[tex]A_{t1}=4.2\: m^{2}[/tex]
Ahora, solo debemos mutiplicar ese valor por 6 para determianr el área total de la pared.
[tex]A_{tot}=25.2\: m^{2}[/tex]
Espero te haya sido util!
З
3
2
5
х1
х9
9
З
х3
. . . . . .
7
5
2
1
3 г.)
Х
x 9
x 9
# F
Answer:
bu ney ben anlamadım gerçek
Find the value of x and the measure of the angle labeled 3x”.
Answer:
D is the correct one
Step-by-step explanation:
The whole angle equals 72 and the partial angle equals 45
You put
72-45= 27
So 3x=27
Then you solve this equation
3x = 27
x = 27/3
x = 9
Step-by-step explanation:
Answer:
x = 10, 3x = 30
Step-by-step explanation:
3x equals thirty, they are the exact same angles
Journal: Explain how you can check your answers on algebraic equations to know that you are right! Example: 2x = 12*
um if someone could help that would be great this one is not a big deal;-;
consider the two functions. which statement is true?
Answer:
The right answer is D
Step-by-step explanation:
The slope of the first function is 2.5, the slope of the second function is 3, so function 2 has a greater rate of change by [tex]\frac{1}{2}[/tex].
can someone help me with a two step equation that is x=3 please its for a math project
Answer:
Equation: 4x+15=3(x+6)
Step-by-step explanation:
Answer:
4x + 3 = 1(x + 12)
Step-by-step explanation:
Can u explain more?
A recent study revealed that the average weight of babies born in the US is normally distributed with a mean of 7.5 pounds. One researcher decides to look at the age of the mother to determine if younger mothers have babies that are significantly heavier or lighter than average. The researcher collects data from 87 babies who were born to mothers between the ages of 16 and 18. The average weight for these babies was 7.3 pounds with a standard deviation of .6 pounds. Which of the following statements is relevant to the assumption of Appropriate Measurement of the Variables?
a. the standard deviation for young mothers is not expected to be different than the standard deviation in the population
b. only one baby was measured per mother
c. weights of babies are normally distributed in the population
d. the study used a sample that is different than the comparison population and measured weight on a ratio scale
Answer:
c. Weights of babies are normally distributed
Step-by-step explanation:
The research has been conducted to identify the weight of new born babies in comparison to the weight of their mother. The samples are collected from young mothers who are at age of 16 to 18. The babies average weight turned out to be 7.3 pounds. It is assumed that the weight of babies is normally distributed.
A gym teacher placed golf balls into 9
buckets so that each bucket had at least 15
balls. How many total golf balls are there?
1. Which quadrilaterals always have opposite
angles that are congruent?
Parallelograms
Rectangles
Rhombi
Squares
Answer:
The quadrilaterals which have opposite angles congruent are parallelograms.
Hope it will help :)
The quadrilaterals always have opposite angles that are congruent should be parallelograms.
What are quadrilaterals?In terms of geometry, a quadrilateral should be represent the closed, two-dimensional shape that contain 4 straight sides. The polygon should contain the four vertices or corners.
So based on this, we can say that The quadrilaterals always have opposite angles that are congruent should be parallelograms.
Learn more about quadrilaterals here: https://brainly.com/question/18057835
Solve for r 5r^2+5=130
Answer:
Simplifying
5r2 + 5 = 130
Reorder the terms:
5 + 5r2 = 130
Solving
5 + 5r2 = 130
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 5r2 = 130 + -5
Combine like terms: 5 + -5 = 0
0 + 5r2 = 130 + -5
5r2 = 130 + -5
Combine like terms: 130 + -5 = 125
5r2 = 125
Divide each side by '5'.
r2 = 25
Simplifying
r2 = 25
Take the square root of each side:
r = {-5, 5
I WILL GIVE BRAINLIEST!!!! ~PLEASE HELP (all the answers for all the questions please for the second and first picture)
Answer:
Question 6: I know that (8 + 9) + 3 is equal to 8 + (9 + 3) because of the associative property states that you can change the grouping of addends in any order you want. The benefit to using this property is that you can first add numbers that you can combine more easily. For example, (743 + 51) + 49 can be written as 743 + (51 + 49) or 743 + 100. It is more straightforward to add the numbers that equal 100 first and then add the final number.
Question 3: -3(4x + 3) + 5x [Given]; -12x - 9 + 5x [Distributive Property]; -12x + 5x - 9 [Commutative Property]; -7x - 9 [Combine like-terms]. [tex]\frac{1}{2}[/tex] (6k + 10) + 5k [Given]; 3k + 5 + 5k [Distributive Property]; 3k + 5k + 5 [Commutative Property]; 8k + 5 [ Combine like-terms].
Question 4: 4(2 - 5) - 8 = 4 * (-3) - 8 = -12 - 8 = -20; 4 * 2 - 28 = 8 - 28 = -20.
Question 5: 15 * 3 - 2(2 * 3 + 6) = 45 - 2(6 + 6) = 45 - 2(12) = 45 - 24 = 21; 11 * 3 - 12 = 33 - 12 = 21.
I need to know the probability of a yellow marble not being drawn at all.
Answer:
9/13
Step-by-step explanation:
5m - 4z + 8m + 3 – 2z
Answer:
13m-6z+3
Step-by-step explanation:
5m-4z+8m+3-2z
5m+8m-4z-2z+3
13m-6z+3
i) Coordinates of point P
a) (1,1) b) (1,2) c) (2,1) d) (1,0)
ii) Coordinates of point Q
a) (0,-3) b) (-3,0) c) (-3,-3) d) (0,3)
iii) Coordinates of point T
a) (-4,-2) b) (-2,-4) c) (4,-2) d) (-2,4)
iv) (Ordinate of T) – (Abscissa of R)
a) -4 b) 4 c) 0 d) -2
v) (Abscissa of Q) – (Ordinate of S)
a) -4 b) 4 c) 2 d) -2
Given:
Five points P, Q, R, S ,T on a coordinate plane.
To find:
The coordinates of (i) P, (ii) Q, (iii) T, (iv) (Ordinate of T) – (Abscissa of R) and (v) (Abscissa of Q) – (Ordinate of S).
Solution:
From the given graph it is clear that the coordinates of given points are
P = (1,1)
Q = (-3,0)
R = (-2,-3)
S = (2,1)
T = (4,-2)
(i)
Coordinates of point P are (1,1).
Therefore, the correct option is (a).
(ii)
Coordinates of point Q are (-3,0).
Therefore, the correct option is (b).
(iii)
Coordinates of point T are (4,-2).
Therefore, the correct option is (c).
(iv)
Ordinate is y-coordinate and abscissa is x-coordinate.
Ordinate of T = -2
Abscissa of R = -2
(Ordinate of T) – (Abscissa of R) = -2 - (-2)
= -2 + 2
= 0
Therefore, the correct option is (c).
(v)
Abscissa of Q = -3
Ordinate of S = 1
(Abscissa of Q) – (Ordinate of S) = -3 - 1
= -4
Therefore, the correct option is (a).
Determine the missing card value that will result in a product of -324.
-6 3 -9
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
-324 ÷ -6 ÷ 3 ÷ -9 = 162
-324 ÷ 162 = -2
What is the volume of a pyramid container if the area of its base is 100 square inches and its height is 5 inches
Answer:
V≈166.67
Step-by-step explanation:
V=ABh
3=100·5
3≈166.66667
Answer:
166 2/3
Step-by-step explanation:
The formula to solve for the volume of a pyramid is lwh/3. Plug those numbers in and you'll get 10*10*5=500/3 = 166 2/3.
Find the GCE.
10rs, 35rst
Jace invested $67,000 in an account paying an interest rate of 5 5/8% compounded monthly. Joseph invested $67,000 in an account paying an interest rate of 6 1/4% compounded continuously. After 18 years, how much more money would Joseph have in his account than Jace, to the nearest dollar?
Answer:
$22395
Step-by-step explanation:
PLEASE HELP (25 point!!)
On the coordinate plane shown below, points G and I have coordinates (6,4) and (3,2), respectively.
(graph shown below)
A. Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points
and I on a coordinate plane. Use complete sentences to describe the strategy.
B. Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your
final answer, include all of your calculations.
C. Use the distance formula and the coordinates of points and I to prove that the Pythagorean theorem is an
alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of
your calculations
Answer :Given : points G and I have coordinates (6,4) and (3,2)
To Find : Use Pythagorean theorem to calculate the straight line distance between points G and I
Solution:
points G and I have coordinates (6,4) and (3,2)
Draw a line parallel to y axis passing through G
Draw a line parallel to x axis passing through I
Intersection point K ( 6 , 2)
IK = 6 - 3 = 3
GK = 4 -2 = 2
ΔIKG right angled triangle
Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.
GI² = IK² + GK²
=> GI² = 3² + 2²
=> GI² = 13
=> GI = √13
using distance formula
G (6,4) and I (3,2)
= √(6 - 3)² + (4 - 2)²
= √3² + 2²
= √9 + 4
= √13
Learn More:
different approaches of Pythagoras theorem - Brainly.in
brainly.in/question/10516214
13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...
brainly.in/question/19749562
I have to turn this in at 5:00
Answer:
1/8
Step-by-step explanation:
Multiply the chance of getting heads (1/2 or .5) by the chance it takes to get green (1/4 or .25)
.5*.25=.125 or 1/8
Need help please i got 200 point in the bag yeart
Sarah's total payment for her loan was $14,832. What was her monthly payment if
she paid it off after making 36 monthly payments?
Answer:
412
Step-by-step explanation:
14,832 divided by 36 = 412
Answer:
412
Step-by-step explanation:
412
Point M is located at (7,1).
What is located 5 units from point M?
Choose 1 answer:
(Choice A)
Point A
(Choice B)
Point B
(Choice C)
Point C
(Choice D)
Origin
I think it is possibly point b