Answer:
if x ≥ 2, then y = x - 1
if x < 2, then y = -x + 3
Step-by-step explanation:
y = 1* |x - 2| + 1
y = |x-2| + 1
*** The rule on absolute value: |a| =a, if a ≥ 0; |a| = -a, if a < 0
If x-2 ≥ 0, then |x-2| = x-2, so y = (x - 2) + 1 = x - 1; y = x - 1
So if x ≥ 2, then y = x - 1
If x-2 < 0, then |x-2| = -(x-2) = -x + 2, so y = {-x + 2} + 1 = -x + 3; y = -x + 3
So if x < 2, then y = -x + 3
what is the solution of
sqrt 2x + 4 equals 16?
Answer: x=6
Step-by-step explanation:
2x+4=16
-4 -4
(2x=12)/2
x=6
PLEASE HELP!!!?!?!!!?!?
what is 4 .5 + 1/2 ?
The answer to that is 5, award me brainliest please!
If g(x) is 11 then what is x
Twenty -six students are going on a field trip and 18 students are staying at school. What is the ratio of the number of students who are going on the field trip to the number of students who are staying at school?
Answer:
26 to 18
26 cause that's the number of kids goin g to the field trip to 18 cause that's all the kids staying
In southern California, a growing number of individuals pursuing teaching credentials are choosing paid internships over traditional student teaching programs. A group of thirteen candidates for six local teaching positions consisted of seven who had enrolled in paid internships and six who enrolled in traditional student teaching programs. All thirteen candidates appear to be equally qualified, so six are randomly selected to fill the open positions. Let Y be the number of internship trained candidates who are hired.
Find the probability that two or more internship trained candidates are hired.
Answer:
0.9225 = 92.25% probability that two or more internship trained candidates are hired.
Step-by-step explanation:
Candidates are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Group of 13 individuals:
This means that [tex]N = 13[/tex]
6 candidates are selected:
This means that [tex]n = 6[/tex]
6 in trained internships:
This means that [tex]k = 6[/tex]
Find the probability that two or more internship trained candidates are hired.
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,13,6,6) = \frac{C_{6,0}*C_{7,6}}{C_{13,6}} = 0.0041[/tex]
[tex]P(X = 1) = h(1,13,6,6) = \frac{C_{6,1}*C_{7,5}}{C_{13,6}} = 0.0734[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0041 + 0.0734 = 0.0775[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0775 = 0.9225[/tex]
0.9225 = 92.25% probability that two or more internship trained candidates are hired.
Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles
will he need?
7 cm
14 cm
Dmitri will need
23 cm
glass tiles.
Answer:
372
Step-by-step explanation:
We are given that the dimensions of the box are,
Length = 15 cm, Width = 20 cm and Height = 9 cm.
We know that the box represents a cuboid.
Since, surface area of a cuboid = L×W + 2×L×H + 2×W×H
Thus, the surface area of the box = 15×20 + 2×15×9 + 2×20×9
i.e. Surface area = 300 + 270 + 360
i.e. Surface area = 930.
Thus, the surface area of the box is 930 cm² i.e. 9300 mm².
Further, the sides of the tiles are 5 mm and the tile represents a square.
So, the surface area of the tile = 5 × 5 = 25 mm².
This gives us that,
Number of tiles required to cover the box = = 372.
Hence, Dmitri requires 372 tiles to cover the box.
What is the equation for the lines that passes through the coordinates (2,7) and (0,1)
Answer:
(x1,y1) is (2,7)
(x2,y2) is (0,1)
Step-by-step explanation:
Point-slope form is:
(y-y1) = ( (y2-y1) / (x2-x1) )(x - x1)
y - 7 =( (-6)/(0-2) )(x-2)
y - 7 = 3x - 6
y = 3x + 1 [slope-intercept form]
Check:
Is (2,7) on the line:
7 = 3(2) + 1 ?
y = 7 ?yes
Is (0,1) on the line:
1 = 3(0) + 1 ?
1 = 1 ? yes
Answer:
y=3x+1
to find the slope, find the change in y/change in x
7-1=6
2-0=2
6/2=3
3 is your slope
your y intercept occurs when x=0, and that was given to you in the problem
(0,1)
your y int is 1
y=3x+1
What is the value of x?
40
55
A. 95
B. 85
C. 750
D. 105
Answer:
B. 85
Step-by-step explanation:
A triangle has a total of 180 degrees.
85 + 55 = 140
140 + 40 = 180
Your answer is B. 85
The value of x is 85°
What is sum of angles of triangle ?
The sum of interior angles of a triangle are 180°
If ∠A, ∠B, ∠C are three interior angles of a triangle,
Then ∠A+∠B+∠C = 180°
What is the required angle ?Given that, Two angles of the triangle are 40° & 55°
Let, the third angle be x.
Then, Sum of angles = 180°
⇒ 40°+55°+x = 180°
⇒ x+95° = 180°
⇒ x = 180°-95°
⇒ x = 85°
The value of x = 85°
Learn more about angle of triangle here :
https://brainly.com/question/9916775
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What do you call a characteristic of a living thing that helps it survive?
Answer:
An adaptation is a characteristic that helps a living thing survive and reproduce. True Natural selection is a change in the characteristics of living things over thing
The one characteristic of a living thing which helps it to survive is an adaptation. This help to survive an organism in its environment.
What is adaptation?Adaptation for the living thing is the main characteristics which help a living thing to be alive. It helps the living things to survive in its environment.
Importance of adaptation-
Organism are adapted to habitual thing, which help them to survive.Help to behave in changing environment.Enhance the standard of living.Thus, the one characteristic of a living thing which helps it to survive is an adaptation. This help to survive an organism in its environment.
Learn more about adaptation here;
https://brainly.com/question/1213023
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i need help plzzzzzzzzzz
Answer:
I think c
Step-by-step explanation:
In a right triangle when a = 8 and b = 15, what is the measure of c? ill give brainlist asap HELP!!!!!
Answer: 17
Step-by-step explanation:
To answer this question you can use the Pythagorean theorem which is a^2 + b^2=c^2. Plugging in the values you get 8^2 + 15^2=c^2. 8 times 8 is 64 and 15 times 15 is 225. 64+225=289. That leaves 289=c^2. Then find the square root of both numbers which leaves you with 17=c
Answer:
[tex]\boxed {\boxed {\sf c=17}}[/tex]
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
We know that a is 8 and b is 15. We don't know the measure of c.
[tex]a=8 \\b=15[/tex]
Substitute the values into the formula.
[tex](8)^2+(15)^2=c^2[/tex]
Solve the exponents.
(8)²= 8*8=64 (15)²= 15*15=225[tex]64+225=c^2[/tex]
Add on the left side.
[tex]289=c^2[/tex]
Take the square root of both sides. This "cancels out" the exponent of 2 and isolates the variable.
[tex]\sqrt {289}=\sqrt{c^2}\\\sqrt{289}=c\\17=c[/tex]
The measure of c is 17.
Solve 6/10 times 1.7 =
Answer:
1.02 or 51/50
Step-by-step explanation:
First we convert the fraction 6/10, as a decimal
6/10 = 0.6
Then we simply multiply
1.7 × 0.6 = 1.02
Lastly we reduce
1.02 = 1 2/100 or 51/50
7
John is painting a sign of a rising sun, which happens to be exactly half of a circle. The half-
circle's base is 30 inches long. He'll need to buy enough paint to cover how much space?
(Approximate pi to 3.14)
(1 Point)
A = { bor?
900 sq. in.
1,413.00 sq. in.
353.25 sq. in.
30.00 sq. in.
Answer: 353 square inches
Step-by-step explanation:
Answer and explain please ILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
0.1x+0.25(102-x)=17.10
0.1x+25.5-0.25x=17.10
-0.15x=-8.4
x=56
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer:
12 x 9 (12 on the top and bottom and 9 on the sides)
Step-by-step explanation:
100 km = 2 units, or 2 boxes
450 x 2/100 = 900/100 = 9
(not sure if this would help or not)
why is angle 3 congruent to angle 2
Answer:
because it is intersecting I think
Step-by-step explanation:
Find the ratio of 15 seconds to 55 seconds
Answer:
Step-by-step explanation:
15:55
= 3:11
uppose that you live in a community that has 1,250 households. Among these households, 500 have traditional landline telephones while the remaining 750 only use cellular and / or VOIP telephones. We are going to select 100 households from your community at random without replacement. The first household selected does not have a traditional landline telephone. What is the probability that the second household selected will have a traditional landline telephone
Answer:
0.4003 = 40.03% probability that the second household selected will have a traditional landline telephone.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The first household selected does not have a traditional landline telephone.
This means that of 1250-1 = 1249 households, 500 have traditional landline telephones.
What is the probability that the second household selected will have a traditional landline telephone
500/1249 = 0.4003
0.4003 = 40.03% probability that the second household selected will have a traditional landline telephone.
Which scenario matches the relationship shown in the table?
Sakura walked 6 miles yesterday.
Sakura walks 6 miles every day.
Sakura walked less than 6 miles.
Sakura walked 1 day in 6 miles.
Answer:
It’s B) sally walks 6 miles every day
Step-by-step explanation:
Can somebody plz tell me which one is congruent or supplementary
AI Prove that:
1-cOS A
V1+cos A
cosec A-cot A
Answer:
(1-cosA)/(1+cosA)
=(1-cosA)/(1+cosA) ×(1-cosA)/(1-cosA)
=(1-cosA)^2 /(1-cos^2A)
=(1-cosA)^2 / (sin^2A)
=(1/sinA - cosA/sinA )^2
=cosecA - cotA)^2
Hope it helps
Have a great Day ; )
how many 8ths are in a pound
Answer:There are 129 eighths in one pound of
Step-by-step explanation:
Please need help thank
Answer:
7
Step-by-step explanation:
If each amount of time is a separate person, then 7
A box of chocolate contains 6 milk chocolates, 5 dark chocolates and
3 white chocolates. You randomly choose three chocolates to eat.
What is the probability of first pulling a milk chocolate, second pulling
a white chocolate, and then lastly choosing a milk chocolate?
Write your answer ar a percentage and round the the nearest tenth.
0 4.6%
04%
03.3%
04.1%
Answer:
i think is 3.3 but i dont know
Step-by-step explanation:
solve for the valuve of 3⁴ - 5 x 3
Answer:
66
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
3⁴ - 5 × 3
Step 2: Evaluate
Evaluate exponents: 81 - 5 × 3Multiply: 81 - 15Subtract: 66Help quick please im down bad
hope you get an answer, sorry im no help
Please help, test due in 1 hour and it’s a grade. Will give good review and brainliest!
trapezoid, i got the last one wrong
Answer: Trapezoid
Step-by-step explanation:
A trapezoid is a quadrilateral with only one pair of parallel sides; the bases are parallel to each other. The legs don't have to be parallel (they're not).
Find the value of x on a triangle
Answer:
x = 25
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees.
90 + x+ 2x+15 =180
Combine like terms
105+3x = 180
Subtract 105 from each side
105+3x-105 = 180-105
3x =75
Divide each side by 3
3x/3 = 75/3
x = 25
Answer:
25°
Step-by-step explanation:
2x + 15° + x + 90 °= 180° ( being sum of angles of triangle)3x + 105° = 180 °3x = 180 °- 105°3x = 75° x = 25°hope it helps :)A cats' home has a raffle to raise money.
There is 1 prize to be won in the raffle.
Lottie buys 15 raffle tickets.
A total of 360 raffle tickets are sold.
Find the probability that Lottie does not win the prize.
help
Savings Account
80
60
Total Saved ($)
40
20
o
2 4 6 8
Time (weeks)
What equation shows the line through the
data points on the graph?
A y = 20x
C y = 15x
B y = x + 20 D y = 40x
Answer:
14 because when you divide it but not sure what yours is about
Step-by-step explanation: