Answer:
x = 0; y = 5
Step-by-step explanation:
-5x + 3y = 15
2x - 3y = -15
Add the equations to eliminate y.
3x = 0
x = 0
Now plug in 0 for x in the first equation to solve for y.
-5(0) + 3y = 15
3y = 15
y = 5
Answer: x = 0; y = 5
Let the random variable X be equally likely to assume any of the values 1/14, 1/7, or 3/14. Determine the mean and variance of X. The mean is Enter your answer; The mean is 1/7 [Give exact answer in form of fraction.] The variance is Enter your answer; The variance is 0.1190 [Round your answer to four decimal places (e.g. 98.7654).]
Answer:
1/7 ;
0.0034
Step-by-step explanation:
Given that:
X = 1/14, 1/7, 3/14
n = number of observations = 3
Since, probability of X is equally likely ;
P(X) = Σp(x) = 1 ; p(x) = 1/n = 1/3
The mean, m ;
Σx*p(x) = (1/3 * 1/14) + (1/3 * 1/7) + (1/3 * 3/14)
= 1/42 + 1/21 + 3/42
= (1 + 2 + 3) / 42
= 6 / 42
= 1/7
The variance :
Σx²*p(x) - m²
((1/3) * (1/14)^2) + ((1/3) * (1/7)^2) + ((1/3) * (3/14)^2) - (1/7)^2
= 0.0238095 - 0.0204081
= 0.0034014
= 0.0034
Match the term with the definition. (5 points) Column A 1. Triangle : Triangle 2. Rectangle : Rectangle 3. Circle : Circle 4. Cylinder : Cylinder 5. Cone : Cone Column B a. perpendicular cross section of a pyramid b. parallel cross section of a sphere c. shape created when a right triangle is rotated about the y-axis d. shape created when a rectangle is rotated about the y-axis e. perpendicular cross section of a cylinder
Answer:
See belowStep-by-step explanation:
Q1
a. RectangleQ2
1. Triangle : a. perpendicular cross section of a pyramid 2. Rectangle : e. perpendicular cross section of a cylinder3. Circle : b. parallel cross section of a sphere 4. Cylinder : d. shape created when a rectangle is rotated about the y-axis 5. Cone : c. shape created when a right triangle is rotated about the y-axisQ3
CircleQ4
Rectangle with l > 2w, rotated about lQ5
22/56 = 0.39 Option Bi’m stuck please help me
Find x in the follow triangle.
Answer:
Fixed
x=5.66
Step-by-step explanation:
This is an around about way since it's not a right triangle.
lets call the segment line that bisects the lower right angle= M.
The two triangles created would be similar. So:
4/6=M/(x+3)
4x+12=6M
M=(4x+12)/6
and
(x+3)/(x+4)=M/6
(6x+18)=Mx+4M
M=(6x+18)/(x+4)
since M=M
(4x+12/6=(6x+18)/(x+4)
(x+4)(4x+12)=6(6x+18)
4x^2+12x+16x+48=36x+108
4x^2+28x+48=36x+108
4x^-12x-60=0
x^2-3x-15=0
Factor
(x+2.65)(x-5.66)=0
x=5.66
Determine if the two figures are congruent by using transformations
30 PTS
Please make sure its easy to understand
Solve for n:
3n + 2n - 17 = 38
Can you please help me with this equation
Answer:
0.915
Step-by-step explanation:
Hopefully this helps
Answer:
It's 50 ^^
Step-by-step explanation:
Ashley rode her bicycle 29.4 miles in 4 hours. She rode the same number of miles each hour. How many miles did ride her bike in 1 hour?
The diameter of a circular flower bed is 12 meters. What is the area of the flower bed? (Use 3.14 for pi)
Answer:
Step-by-step explanation:
diameter = 12 m so
the radius is d/2=12/2=6 m
A = pi*r² = 3.14 *6² = 113.04 m²
Answer:
113.04
Step-by-step explanation:
In 2007, a city has a population of 270.000 people. Each year since, the population has grown by 1.7%.
Lett be the number of years since 2007. Let y be the city's population.
Write an exponential function showing the relationship between y and t.
Laura bought y yards of fabric on Saturday. The next day, she went back and bought 3 more yards than she did on Saturday. If each yard of fabric costs $5, write an expression in simplest form for the total amount of money she spent on both days.
Answer:
(y+3)*5
im pretty sure this is correct
solve the equation f/3+22 = 17
Answer:
-15
Step-by-step explanation:
The (/) is also a division sign
-15/3 + 22 =17
-5 + 22= 17
Answer:
its -5
Step-by-step explanation:
So you subtract by 22 then it is -5 Then you multiply by 3 then it is -15
Find the Area Of This Figure.
Answer:
42in
Step-by-step explanation:
First divide up the shape.
The bottom will cut off to form a 6x3 rectangle which will have an area of 18in. Next is the top portion which is a trapezoid. You can figure out the area two ways. You can divide it further into two triangles and a rectangle. Or you can use the trapezoid formula. In this case I feel like dividing it. So since the top is 2 inches the bases of the two side triangles must be 2 due to the bottom base of the whole shape being 6. (1/2*2*6)*2 = 12in. Lastly the center rectangle is 2*6 (got 6 from 9-3) which is also 12. So the top half added together 12+12 equals 24in. When adding both top and bottom portions (18+24) you get 42in.
help i will give brainlist
Answer:
its #2 (on the top right)
Step-by-step explanation:
(-6, -2) (4, -5) what is the distance in units, between the two points
There are 3 answers need help to get my grade up to a 70%
Answer:
From (2, 1) move up one and over four
64
4+4x U
K
36
27
72
T
96
L
Find the value of x.
The value of {x} is equivalent to 7.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are two triangles ΔJTU and ΔJLK.
The triangles ΔJTU and ΔJLK are similar.
We can write the proportional relation as -
{JU/JK} = {JT/JL}
{- 4 + 4x/64} = {27/72}
{- 4 + 4x/64} = 3/8
- 4 + 4x = 24
4x = 28
x = 7
Therefore, the value of {x} is equivalent to 7.
To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
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The value of x is 7.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔJKL and ΔJUT
If T and U are midpoints on JL and JK, then TU is parallel to LK.
Then ∠T=∠L (Corresponding angles)
∠U=∠K (Corresponding angles)
Hence, ΔJKL is similar to ΔJUT
Now, JT/JL = JU/JK = TU/LK
27/72 = -4+4x/64 = 36/96
9/24 = -4+4x/64 = 12/32
3/8 = -4+4x/64 = 3/8
-4+4x/64 = 3/8
-4+4x=24
4x=28
x=7
Therefore, the value of x is 7.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
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Which of the following is NOT type of magnet
a
permanent magnet
b
electromagnet
c
temporary magnet
d
Domain magnet
Answer:
Is not a type of magnet a domain magnet
Two drawings are given below. Drawing 2 is a scale drawing and Drawings 1 is an original drawing.
The scale factor from Drawing 1 to Drawing 2 is _________%
Answer:
40%
Step-by-step explanation:
Answer:
45%???????????
Step-by-step explanation:
(2a -36)
[tex](2a - {36)}^{2} [/tex]
Autumn invested 2800 in a account paying an interest rate of 6.2% compounded monthly.Assuming no deposits or withdrawals are made how much money to the nearest ten dollars would be in the account after 8years
Answer:
4530.55
Step-by-step explanation:
2800 x 6.2% = 173.6
2800 + 173.6 = 3157.96
repeat this step 8 times because you need to find the money in the account after 8 years. Tell me if you need further explanation
Reduce the ratio to its lowest form. 72:8
Answer:
9:1
Step-by-step explanation:
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 72 and 8 is 8
Divide both terms by the GCF, 8:
72 ÷ 8 = 9
8 ÷ 8 = 1
The ratio 72 : 8 can be reduced to lowest terms by dividing both terms by the GCF = 8 :
72 : 8 = 9 : 1
Therefore:
72 : 8 = 9 : 1
Luis can swim 1 ½ meters per second. How many meters can he swim in a minute? Show your work and state the answer.
evaluate the expression for the given value(s) of the variables s=7 k=4 x=6 8 - k+ x
Answer: 9
Step-by-step explanation:
s = 7
k = 4
x = 6
7 - 4 + 6
3 + 6
9
Jordan spent 5 hours over the weekend studying for 3 tests. He spent an equal amount of time studying for each test
Answer:
Option (4)
Step-by-step explanation:
Jordan spent 5 hours studying for 3 test with equal amount of time studying for each test.
On the number line, there are 3 small segments between each number.
Every small segment will represent time = [tex]\frac{1}{3}[/tex] hours
Total number of small segments = 15
If Jordan takes 3 equal durations for the study of each test,
Total number of small segments for each test = [tex]\frac{15}{3}=5[/tex]
Now we can plot these points on the number line.
Further count the segments for the answer ( 1 hour plus 2 small segments)
= 1 + [tex]2\times \frac{1}{3}[/tex]
= [tex]1\frac{2}{3}[/tex]
Therefore, time given for studying each test = [tex]1\frac{2}{3}[/tex] hours
Option (4) will be the answer.
A computer tracking chip company wants to test their chips. They marked 32 birds by attaching computer chips to their legs. Later on, they catch 440 birds, 10 of which are marked with computer chips attached to them. They provided this data to animal welfare authorities to estimate the bird population. What is the best estimate of the bird population?
32/p=10/440
10p=14080
p=1408
can u pls help me with this question
If 4/5 of comcrete covers 5/6 of a bridge, how many tons if concrete is required to cover the entire bridge
Answer:
Write and solve an equation of proportions:
Step-by-step explanation:
4/5 ton 5/6 bridge
-------------- = ------------------
x 1 bridge
Then (4/5) * (1 bridge) = (5/6 bridge)x.
Solve this for x by mult. both sides of the equation by 6/5:
(6/5)(4/5) = x
24/25 tons of concrete are needed to complete the entire bridge.
Help plz:)))I’ll mark u Brainliest
