Answer:
Step-by-step explanation:
Let the smaller of two consecutive integer be x therefore other integer is x+ 1
As per statement the sum of two consecutive integers is 41. To find out the integers.
x + (x + 1) = 41
x + x + 1 = 41
2x + 1 = 41
2x = 41 - 1
2x = 40
x = 40/2
x = 20
The smaller of two consecutive integers is 20, thus other integer is x + 1 = 20 + 1 = 21
The two consecutive integers are 20 and 21
Answer the two consecutive integers are 20 and 21
The endpoints of a side of rectangle ABCD in the coordinate plane are at A (3,9) and
B(5, 1). Find the equation of the line that contains the given segment.
The line segment is CD and point C is at (9,2).
The equation is
Answer:
y = - 4x + 38
Step-by-step explanation:
A(3, 9)
B(5, 1)
[tex]m_{AB}[/tex] = [tex]\frac{1-9}{5-3}[/tex] = - 4
CD║AB
C(9, 2)
y - 2 = - 4(x - 9)
y = - 4x + 38
I need help ASP Jason bought a video game for $60.00. He sold it for $72.00. What was the percent of the markup?
The temperature drops from 7°F to -17°F. By how much did the temperature decrease?
Please respond!
Answer:
24 degrees
Step-by-step explanation:
Answer:
It dropped by 24 degrees
Step-by-step explanation:
Think of this as if it were on a number line. The distance between these two points would be 24.
Hope this helps! :)
The cost of 5 pens is $140.50. What is the cost of 1 pen?
Answer:
28.1
Step-by-step explanation:
140.50/5
These are some expensive pens
Answer:
$28.1
Step-by-step explanation:
Divide
140.50 divided by 5 = 28.1
(That's an expensive pen)
Some parts of California are particularl earthquake prone. Suppose in one metropolitan area, 40% of all homeowners are insured against earthquake damage. Four homeowners are selected at random. Let X denote the number among the four who have earthquake insurance. Assume that the event of each homeowner having or not having insurance is independent.
Required:
a. Find the probability mass function of X?
b. What is the most likely value for X?
c. What is the probability that at least two of the four selected have earthquake insurance?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Percentage of insured home owners = 40% p = 0.4
Selecting 4 home owners (x) ;
x = 0, 1, 2, 3, 4
Using bernoulli;
nCx * p^x * (1 - p)^(n-x)
For X = 0
4C0 * 0.4^0 * 0.6^(4-0) = 0.1296
X = 1
4C1 * 0.4^1 * 0.6^(4-1) = 0.3456
X = 2
4C2 * 0.4^2 * 0.6^(4-2) = 0.3456
X = 3
4C3 * 0.4^3 * 0.6^(4-3) = 0.1536
X = 4
4C4 * 0.4^4 * 0.6^(4-4) = 0.0256
B.) The most likely value for X are 1 and 2 with probabilities of 0.3456 respectively.
C.) probability that atleast 2 of the 4 selected have earthquake insurance ;
P(X ≥ 2) = p(2) + p(3) + p(4)
P(X ≥ 2) = 0.3456 + 0.1536 + 0.0256
P(X ≥ 2) = 0.5248
Answer:
hope this photo helps. 1
Can someone help me with this?
Answer:
20
Step-by-step explanation:
4x. x=5
4*5 20
Hope this helps hit the crown :D
n= 101
p= 0.24
p(0.20 < p <0.30) =
Answer:
N = 101
p = 0.24
p ( 0.2 ) < p < 0.3
Step-by-step explanation:
if you ran 4 miles in 36 minutes how many minutes would you have to run in one mile?Explain
Answer:
9 minutes
Step-by-step explanation:
Twenty five more than twice a number is fifty five. What is the number?
Answer:
15
Step-by-step explanation:
15x2 = 30
30+25 = 55
Answer:
Step-by-step explanation:
Note all operations:
twenty-five more than → addition → +25twice a number → multiplication → ×2is fifty-five → equal to → =55Create an equation, and make the unknown number be x. 25 is added to x multiplied by 2, which, in all, equals 55:
[tex]2x+25=55[/tex]
Now solve for x. Subtract 25 from both sides:
[tex]2x+25-25=55-25\\\\2x=30[/tex]
Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{30}{2} \\\\x=15[/tex]
The number is equal to 15.
:Done
CHECK:
Insert the value of x to see if it is true:
[tex]2(15)+25=55\\\\30+25=55\\\\55=55[/tex]
This is true, so the value of x is also true.
(4x)m+(5x+3)m+(5x+1)m=102
Find the sides of the triangle. Perimeter =102
Here is the set up:
Side 1 is 4x.
Side 2 is 5x + 3
Side 3 is 5x + 1
The perimeter is 102.
Perimeter = side 1 + side 2 + side 3
102 = 4x + 5x + 3 + 5x + 1
102 = 14x + 4
Take it from here.
Please help and explain.
Answer:
Domain: All real numbers greater than or equal to 1.
Step-by-step explanation:
Answer 1: -14 is not in the domain
Answer 2: 4 is included in the domain
GUYS, I GOTM 1MILLIO0N DOLARS IN THE STOCK MAARKAT HOW MUCH IS 1 MILLION DOLLARS IN NE GOTIABLE US CUERENCY CONVERTED TO RUSSIAN RUBELS????/// PLS ILL GIV BRANLEST!11
Hi! I believe your answer is 77,435,300.00 Russian Rubles, which is equivalent to 1,000,000 U.S. dollars. I hope this helps you! Good luck and have a great day. ❤️✨
Answer:
76,922,200.00 RUB
Step-by-step explanation:
wow how in the heck did you do that 0-o your rich dude pls explain how u did it T-T
Two opposite rays _____ form a line.
Answer:
always
Step-by-step explanation:
600:450 and 4:3 why is it equivalant
Answer:
600 ÷ 4 = 150
450 ÷ 3 = 150
The same thing either way.
They are considered proportional ratios
-24 = -8(5x-7) im confused
Answer:
x=2
Step-by-step explanation:
In order to solve the inequality, first simplify it. -8 (5x -7) can be simplified be distributing. Multiply -8 to each term.
-24 = -40x + 56 now you can solve it start by subtracting 56 on both sides
-80 = -40x now divide -40 on both sides
2=x
I hope this helps :)
have a nice day
LET ME KNOW IF I GOT THEM ALL RIGHT PLS
Answer:
I think so
Step-by-step explanation:
A line y = mx +b passes through point (8, – 6) and is parallel to y = -x +4.
What is the value of b?
Answer:
b = 2
Step-by-step explanation:
Since the two lines are parallel, their slope is the same.
Slope = -1
The function: y = -x + b
Plug in the coordinate values to solve for b.
-6 = -8 + b
-6 + 8 = b
2 = b
b = 2
Find two positive numbers whose product is 64 and whose sum is a minimum. (If both values are the same number, enter it into both blanks.) slader
Answer:
X = 8, y = 8
Step-by-step explanation:
This question is an optimization problem. Two equations are going to be needed here
n = x+y
P = xy
Such that 64 = xy
When we divide through by x we get:
y = 64/x
So that n becomes:
n = x + 64/x
n = x+64x^-1
We take derivative
n' = 1-64x^-2
When n' = 0 then a min|max occurs
0 = 1-64x^-2
Such that:
64/x² = 1
Divide through by x²
64 = x²
x = √64
x = 8
Remember y = 64/x
So,
Y = 64/8
Y = 8.
X = 8, y = 8
Thank you!
PLS HELPPPPPPP CHECK THE PICTURE ABOVE PLS :((
Answer:
(6+7)
2^4
2^2
Step-by-step explanation:
Think of the order of operations or PEMDAS: Parentheses, exponents and roots, multiplication, addition, and subtraction. When solving an equation you use the order of PEMDAS.
Find the distance between E(5,3) and F(-4,3).
Answer:
3 - 3 = 0 units There is no distance, the points are in the same place.
Step-by-step explanation:
solve the inequality -9 ≤ 7-8v cmon bro
Answer:
v ≤ 2
Step-by-step explanation:
You invite your friend to go to Peru. Tú invitas a tu amigo a ir a Perú. Tú invitan a tu amigo a ir a Perú. Tú invita a tu amigo a ir a Perú. Tú invitamos a tu amigo a ir a Perú.
Answer:
its A
Step-by-step explanation:
Please solve for X and explain with steps
log₃(-2 tan(x)) = 1/2
Write both sides as powers of 3, and use the property [tex]b^{\log_ba}=a[/tex]:
[tex]3^{\log_3(-2\tan x)}=3^{\frac12}[/tex]
-2 tan(x) = √3
Then solve for x :
tan(x) = -√3 / 2
x = arctan(-√3 / 2) + nπ
x = -arctan(√3 / 2) + nπ
where n is any integer.
random variables, probability distributions and expected value
A community festival organizes a fundraiser for their local park. They sold 25,000 tickets at $20 each. The grand prize is $5,000. There are two prizes valued at $2,000, three prizes valued at $1,000, five prizes of $500, and ten prizes of $100. What is the expected value of this raffle? Round to the nearest cent. Do not round until the final calculation.
Answer:
-19.38
Step-by-step explanation:
E(x)=4,980*1/25000+1,980*2/25,000+980*3/25,000+480*5/25,000+80*10/25,000-20*24,979/25,000
E(x)=0.1992+0.1584+0.1176+0.096+0.032-19.9832
E(x)= -19.38
reflection across y= -x
Answer:
option A) is correct.
Step-by-step explanation:
As we know that when we reflect across the line [tex]y=-x[/tex], the x-coordinate and y-coordinate would change places and be negated.
So the formula about the reflection across [tex]y=-x[/tex] will be:
(x, y) ⇒ (-y, -x)
From the graph, the vertices of the triangle are:
Vertex U = (-5, -2)Vertex T = (-3, -3)Vertex V = (-5, -5)As the rule of reflection across [tex]y=-x[/tex] will produce the image with the vertices T', U' and V' which are as follows:
(x, y) ⇒ (-y, -x)
U(-5, -2) ⇒ (-y, -x) = U' (2, 5) T(-3, -3) ⇒ (-y, -x) = T' (3, 3) V(-5, -5) ⇒ (-y, -x) = V' (5, 5)So, the vertices of U', T' and V' will be:
U' (2, 5) T' (3, 3) V' (5, 5)Therefore, option A) is correct.
Find the inverse of the function.
Answer:
A) [tex]f^{-1}(n)= (n+2)^3[/tex]
Step-by-step explanation:
[tex]f(n) = \sqrt[3]{n} -2[/tex]
[tex]y = \sqrt[3]{n} -2[/tex]
[tex]y = n^{1/3}-2[/tex]
[tex]n = y^{1/3} -2[/tex]
[tex]n + 2 = y^{1/3}[/tex]
[tex]y = (n + 2) ^3[/tex]
[tex]f^{-1}(n) = (n + 2)^3[/tex]
Hope this helps!
Answer:
Option A
Step-by-step explanation:
f(n) =∛n-2
y= ∛n-2
Interchange y and n
n =∛y-2
Subtract -2 on both sides
n+2 = ∛y
both both sides to the 3rd power:
(n+2) to the 3rd power = y
Inverse :
f-1(n) = (n+2) to the 3rd power (option A)
How would I do this?
-8 -x = x -4x
Answer:
71
Step-by-step explanation:
yw72wo9838388382828228
What is 414 divided by 15? SHOW YOUR WORK!!
Answer:
the answer would be 27.6.
Step-by-step explanation:
sorry for the horrible handwriting, hopefully u can understand this!!
Annual sales for a small boutique were $863,000in 2010. Since then the sales have increased at a rate of 2.5% per year. Find the sales in 2018
Answer:
1,035,600
Step-by-step explanation:
since the rate sales increased 2.5% per year 8*2.5=20/100=0.2*863,000=172,600 and since we already are earning 863,000 so 863,000+172,600=1,035,600
Find the slope of (2,18) and (4,28)
5 is your answer because if you plot these on a graph you would know how many points there are in between them and there are 5
