Answer:
A is the midpoint
Step-by-step explanation:
Given
A(5.2) B(6,-3) and C(4.7)
Required
Which is the midpoint
Midpoint is calculated using:
[tex](x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)[/tex]
Testing A as the midpoint, we have:
[tex](5,2) = \frac{1}{2}(6+4,-3+7)[/tex]
[tex](5,2) = \frac{1}{2}(10,4)[/tex]
[tex](5,2) = (\frac{1}{2}*10,\frac{1}{2}*4)[/tex]
[tex](5,2) = (5,2)[/tex]
The above equation is true. Hence, A is the midpoint of B and C
A number equals four less than three times the number.
How do you write this equation
Answer:
n = 4 - 3
Step-by-step explanation:
calculate the area of this triangle 18cm, 14cm and height is 11cm
Answer : 99cm^2
Hope this helps
The area of the triangle with a height of 11 cm and a base of 18 cm is,
99 cm².
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.
Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We also know,
The way of classifying a triangle,
If a² + b² < c² then it is an acute angle triangle.
If a² + b² = c² then it is a right-angle triangle.
If a² + b² ≥ c² then it is an obtuse angle triangle.
The area of a triangle is half times the product of the height and base.
The given triangle has a height of 11 cm and a base of 18 cm.
Therefore, The area of the triangle is,
= (1/2)×18×11 cm².
= 99 cm².
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Liam opened a savings account with a $400 deposit and a simple interest rate of 7.5%. If the balance of the account is now $670 and there are no deposits or withdraws, how long ago did he open the account?
Answer:
If he deposited weekly, he would be depositing 9 dollars each week.
Step-by-step explanation:
Just thank me later and click the crown at the top of this answer if it helped ;)
What is the product of 148x27
Answer:
3996 :)
Step-by-step explanation:
Answer:
3,996
Step-by-step explanation:
Hope this right.but if it's not,im so sorry
plssssss someone help pls pls pls i dont get this look
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 4(m∠Y) − 160°. Find m∠Y
Answer:
I think the answer is 50.
Step-by-step explanation:
Y + S = 90
S = 4 (Y) - 160
160 = 4 (Y)
Y = 40
90 - 40 = 50
Hope it's correct and helps!
A fair coin is flipped three times. Let X be the number of heads observed. (a) Give both the possible values and probability mass function of X. (b) Find P(X ≥ 1) and P(X > 1). (c) Compute E[X] and V ar(X).
Answer:
a)
The possible values are 0, 1, 2 and 3.
The probability mass function of X is:
P(X = 0) = 0.125
P(X = 1) = 0.375
P(X = 2) = 0.375
P(X = 3) = 0.125
b)
[tex]P(X \geq 1) = 0.875[/tex], [tex]P(X > 1) = 0.5[/tex]
c) E(X) = 1.5, Var(X) = 0.75
Step-by-step explanation:
For it time the coin is flipped, there are only two possible outcomes. Either it comes up heads, or it comes up tails. Each toss is independent of other tosses. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
A fair coin is flipped three times.
This means that [tex]n = 3[/tex]
Fair coin means that it is equally as likely to be heads or tails, so [tex]p = \frac{1}{2} = 0.5[/tex]
a) Give both the possible values and probability mass function of X.
The possible values are from 0 to n, so 0, 1, 2 and 3.
The probability mass function is the probability of each outcome. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125[/tex]
[tex]P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375[/tex]
[tex]P(X = 2) = C_{3,2}.(0.5)^{2}.(0.5)^{1} = 0.375[/tex]
[tex]P(X = 3) = C_{3,0}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]
(b) Find P(X ≥ 1) and P(X > 1).
[tex]P(X \geq 1) = P(X = 1) + P(X = 2) + P(X = 3) = 0.375 + 0.375 + 0.125 = 0.875[/tex]
[tex]P(X > 1) = P(X = 2) + P(X = 3) = 0.375 + 0.125 = 0.5[/tex]
(c) Compute E[X] and Var(X).
[tex]E(X) = np = 3*0.5 = 1.5[/tex]
[tex]Var(X) = np(1-p) = 3*0.5*0.5 = 0.75[/tex]
y = -2x + 3
4x - 5y = 13
Answer:
letters do not belong in math
Step-by-step explanation:
1=1-2=3
Explain answer !
( Will give brainlst)
Suppose f(x)=x+2. Find the graph of f(1/3x)
Answer:
f(x)=x+2.
f(1/3x)=1/3 x+2=(x+6)/3or x/3+2
Answer:
graph 3
Step-by-step explanation:
how do you know how many solutions are possible for a system of equations
Answer:
Step-by-step explanation:
If the slopes are the same but the y-intercepts are different, the system has no solution.
If the slopes are different, the system has one solution.
If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
Answer:
Step-by-step explanation:
If you mean linear systems. If lines have a different slope there will be one solution. If they have the same slope (parallel) and a different y intercept there are zero solutions. If they have same slope and y intercept than they are the same line and have an infinite number of solutions.
2x+3y=5x-y2x+3y=5x−y
Anthony spent $10.24 on his lunch while Margo spent $8.96 on her lunch. Anthony paid with a twenty dollar bill and gave a $2.00 tip. How much did Anthony have left from his twenty dollar bill? A. $0.80 B. $7.76 C. $9.76 D. $12.24
Answer:
$7.96
Step-by-step explanation:
20 - 10.24 = 9.96 - 2 = $7.96
how do you complete this task?
Answer:
-3/2
Step-by-step explanation:
y=mx +b
where m is the slope and b is the y intercept
we just need to rewrite 3x+2y+18=0 to look like that
We need to get y by itself
3x+18= -2y
we need y to be positive and to have no number in front of it (no coeficcent)
y= -3/2x-9
the slope is therefore -3/2
Answer:
[tex]-\frac{3}{2} [/tex]
Step-by-step explanation:
3x + 2y + 18 = 0
Equating it with.
ax + by + c = 0, we find:
a = 3, b = 2, c = 18
Slope of the line [tex] =- \frac{a}{b} =-\frac{3}{2} [/tex]
-3xy-x²y²+1 is evaluated when x=-1 and y=-1 , then what is the exact value ?
Answer:
-3
Step-by-step explanation:
-3(-1)(-1)-(-1)^2(-1)^2+1
=-3
hopes this helps?!?!
Answer -2
Step-by-step explanation:
-3(-1)(-1)-(-1)^2(-1)^2+1
-3-1+1+1
-4+2
=-2
This is classwork and i don't understand it at all PLEASE HELP
Answer:
The independent variable is the number of cars
the band washes and the dependent is the number of money they earn
Step-by-step explanation:
1 Which size Yogli Mogli which yogurt size gives you the best price per ounce?
Small 5 oz. cup for $2.50
Medium 10 oz cup for $3.49
Large 15 oz. cup for $5.99
Super Size 24 oz. cup for $6.59
a. Small
b. Medium
c. Large
d. Super Size
Plz respond quickly for the best answer
boole summation formula used in real life
Can you help me on question 25?!
9. Rob usa el cálculo mental para resolver 90 – 30.
Dice que 9 decenas menos 3 decenas son
6 decenas, o 60. ¿Esto es verdadero o falso?
Encierra tu respuesta en un círculo.
Verdadero
o
Falso
how to Evaluate the expression, given functions f and g: f(x) = 3x - 2, g(x) = 7 – x^2. 3f(1) – 2g(-2)
what factors you think determines more earthquakes will occur in an area
Answer:
Ground shaking is the primary cause of earthquake damage to man-made structures. Many factors influence the strength of earthquake shaking at a site including the earthquake's magnitude, the site's proximity to the fault, the local geology, and the soil type.
The places on the planet where one plate meets another are the most prone to earthquakes. The specific surfaces where parcels of earth slip past each other are called faults. As plates move, pressure builds up across their boundaries, while friction holds them in place
Over 80 per cent of large earthquakes occur around the edges of the Pacific Ocean, an area known as the 'Ring of Fire'; this where the Pacific plate is being subducted beneath the surrounding plates. The Ring of Fire is the most seismically and volcanically active zone in the world.
£2,300 is invested for 4 years at 5% per year simple interest work out the total interest
Answer:
£460
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 2300 × 0.05 × 4 = 460
I = £ 460.00
The simple interest accumulated
on a principal of £ 2,300.00
at a rate of 5% per year
for 4 years is £ 460.00.
The interval(s) for which the function shown below is increasing
Answer:
everywhere except between 2 and 5
(between -inf and 2 and between 5 and inf)
Step-by-step explanation:
pls brainlist
A function assigns the value of each element of one set to the other specific element of another set. The interval for which the given function is increasing is (-2,0).
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
The given function is increasing only when the slope of the function is positive and when the value of x is increased from -2 to 0. Therefore, it can be concluded that the interval for which the given function is increasing is (-2,0).
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Ariel has $181 saved towards the purchase price of a laptop. The laptop she wants to purchase cost $599. Ariel earns $9.50 an hour as a lifeguard. (I have to write an in…
¿*=£×**€×¿¿==£÷€=4÷54
Amy and three of her friends went to lunch. The total bill was $54.00. If they wanted to leave a 20% tip how
much more is added tot he bill?
If the girls split the bill evenly, how much does Amy pay?
Answer:
$16.20
Step-by-step explanation:
Bill: $54.00
Tip: 20%
People: 4
To figure out 10% of the bill, you need to move the decimal point over to the left one place: $5.40
10%: $5.40
5.40 times 2 = $10.80
54.00 + 10.80 = 64.80
Grand Total= $64.80
Since there are 4 people, we need to divide by 4:
64.80 divided by 4 = $16.20
simplify the expression :
1.7h - 8.9 + 3
Answer:
1.7h - 5.9
Step-by-step explanation:
Combine the like terms -8.9 and 3 to get -5.9. Since it's negative, you subtract.
Find sin (E) given the triangle.
Someone pls help me wit this I’m so confused
Answer: 75.75°
Step-by-step explanation:
Sine is the opposite of the angle divided by the hypotenuse. The opposite side of the angle is 12.6 and the hypotenuse is 13.
sin(Ф) = 12.6/13
Take the inverse sine of both sides, this requires a calculator.
Ф = 75.75°
-20 greater than or equal to 5w
Hurry!!!
what is the area of a circular swimming pool with the radius of 3 feet
Answer:
9[tex]\pi[/tex]
Step-by-step explanation:
r=3
Area of circle: [tex]\pi[/tex][tex]r^{2}[/tex]
Plz I need help this is due at 7:10
Answer:
8units²
Step-by-step explanation:
Area of the trapezoid = 1/2(a+b)h
a and b are the opposite sides
h is the height
Take a square as 1 unit
a = 1 unit
b = 3 units
height h = 4 units
Substitute
A = 1/2(1+3)*4
A = 1/2 * 4 * 4
A = 16/2
A = 8units²
Hence the area of the trapezoid is 8units²