Answer:
-3x - 14 < -5
-3x < 9 (14 - 5)
x < 9: (-3)
x < -3
=> x = { -4, -5, -6, ...}
Step-by-step explanation:
In ΔABC, the measure of ∠C=90°, the measure of ∠B=64°, and BC= 6.6 Find the length of CA the nearest tenth of a foot
Answer:
CA = 13.5
Step-by-step explanation:
tan 64 = CA/6.6
2.05 = CA/6.6
CA = 13.5
The number of oil tankers arriving at a refinery each day follows a Poisson(3)distribution. Current port facilities can service only four tankers a day so thatif more than four tankers arrive in a day, the additional tankers must be sentto another port. LetXdenote the number of tankersarrivingat the port andletYbe the random variable corresponding to the number of tankersserviceddaily.(a) What is the probability that no tankers arrive at the port? (2 pts)(b) What is the PMF ofY? (4 pts)
Two claimants place calls simultaneously to an insurer's claims call center. The times X and Y, in minutes, that elapse before the respective claimants get to speak with call center representatives are independently and identically distributed. The moment generating function of each random variable is
M(t)= (1/11.5t)^2 , t < 2/3
Required:
Calculate the standard deviation of X + Y.
The moment generating function of each random variable is;
M(t) = (1/(1 - 1.5t))^(2), t < 2/3
Answer:
SD[X + Y] = 3
Step-by-step explanation:
For ease of differentiation, let's rewrite the M(t) function as;
M(t) = (1 - (3/2)t)^(-2)
Let's find the first derivative of the function;
M'(t) = 3(1 - (3/2)t)^(-3)
To get E[X], we will put 0 for t to get;
E[X] = 3(1 - (3/2)0)^(-3)
E[X] = 3
Now,let's find the second derivative of M(t)
M"(t) = (27/2)(1 - (3/2)t)^(-4)
At,t = 0, we will get E[X²]
Thus;
E[X²] = 27/2
Now, Var[X] = E[X²] - (E[X])²
Var[X] = (27/2) - 3²
Var[X] = 9/2
We are told that the times X and Y are independently and identically distributed. Thus, the sum of their variances is equal to the variance of their sum. This is expressed as;
Var[X + Y] = 9/2 + 9/2
Var[X + Y] = 9
Now,we know that square root of variance is standard deviation. Thus;
SD[X + Y] = √9
SD[X + Y] = 3
help me out
........1
Answer: -13
Step-by-step explanation:
2-(3^2)+4-3-7 = -13
Answer:
17
Step-by-step explanation:
2x²+4x-7
-6²+(-12-7)
36+(-19)
17
Write an equation in slope-intercept form of the line that passes through the points (7, – 4) and (3, -1).
y= blank x+ blank
Answer:
Step-by-step explanation:
y2-y1/x2-x1
-1-(-4)/3-7
3/-4
y=mx+b
For the y coordinate it can be either -4,or -1
-4=3/-4x+b
b=13/4
han want to buy a $30 ticket to a game, but the pre-oder tickets are sold out, he knowns there will be more tickets sold the day of the game, with a markup of 200% . how much should han expect to pay for the tickets if he buys it the dat of the game?
Answer: [tex]\$90[/tex]
Step-by-step explanation:
Given
The price of the ticket prior to match day is [tex]\$30[/tex]
It is stated that there is [tex]200\%[/tex] the markup on match day i.e.
The selling price of the ticket is
[tex]\Rightarrow S.P.=30+30\times 200\%\\\Rightarrow S.P.=30+30\times 2=30+60\\\Rightarrow S.P.=\$90[/tex]
So, han must expect to pay [tex]\$90[/tex] on that day
a. What is the difference in height between 30 m up a cliff and 87 m up a cliff? What is the distance between these positions?
b. What is the difference in height between an albatross flying at 100 m above the surface of the ocean and a shark swimming 30 m below the surface? What is the distance between them if the shark is right below the albatross?
Answer:
A. 57m B. 130m
Step-by-step explanation:
For problem A:
87m up a cliff - 30m up a cliff = 57m up a cliff
These are all positive values
For problem B:
100m above is talking about a positive value, making this a positive number
30m below is talking about a negative value, making this number -30
0 meters represents the surface
As you can see, this is forming a number line as of which
below the surface------------------------0m-------------------------above the surface
by substitution,
-30-----------------------------------------------0-------------------------------100
therefore, 100 - -30 = 130 meters
Find the measure of each angle indicated
Answer:
45°
Step-by-step explanation:
here's your solution
=> we know that sum of both angle is equal
180°
=> because both angle are co-interior angle
=> let the unknown angle be x
=> so, X + 135° = 180°
=> x= 180 - 135
=> 45°
hope it helps
choose the correct simplification of the expression b^5 · b^4
Answer:
b⁹
Step-by-step explanation:
When multiplying terms with exponents, you simply add the exponents.
5 + 4 = 9
Jasmine is playing hide-and-seek with Tucker and Michelle. Tucker is hiding 15 meters south of Jasmine, and Michelle is hiding 8 meters east of Tucker. How far apart are Jasmine and Michelle?
Answer:
17 meters
Step-by-step explanation:
According to the Pythagorean Theorem, we can know that the right triangle's a side is Michelle to Tucker (8 meters), and the b side is Jasmine to Tucker (15 meters), and the c side is Jasmine to Michelle. The Pythagorean Theorem equation, the side length of the c side of a right triangle is the length of a side squared plus b side squared and squared root (a^2+b^2=c^2), and so 8^2+15^2=289, and 289 square root is 17, we can know that the distance between Jasmine to Michelle is 17 meters.
Nina took an exam. When her results came, she had 40% correct and 68% incorrect. Find the percent to correct answers to incorrect answers.
Answer: She had 27.2% correct.
Step-by-step explanation: To find the percent, we can divide the part and whole then multiply the quotient by 100. After that we'll need to convert the percent to a decimal. In mathematical terms, the formula will be,
[tex]\frac{part}{whole}=quotient*100[/tex]
40% will be the part and 68% will be the whole.
Step 1.
Convert 40 into a decimal by dividing it by 100.
40 ÷ 100 = 0.4
Step 2.
Multiply 0.4 by 68.
0.4 × 68 = 27.2
Hence, she had 27.2% correct.
Find the volume of the cylinder. Round your answer to the nearest tenth
3 m
5 m
Answer:141.4
Step-by-step explanation:
If n+1 integers are chosen from the set
1,2,3,…,2n
,where n is a positive integer, must at least one of them be even? Why?
Answer:
Pigeonhole Principle
Step-by-step explanation:
From series {1,2......2n} ; we need to select 'n + 1' integers.
Even integers series from above series = {2,4,6..........2(n-1), 2n}
Odd integers series from above series = {1,3,5........2(n-2), 2n-1}
So, we can choose only n odd integers from the series. Hence, if we choose n+1 integers, atleast one of them have to be even integer.
Eg : n = 5, Series = (1,2,3,4,5,6,7,8,9,10}, Odd series = {1,3,5,7,9}, Even series = {2,4,6,8,10}. If we choose 5 +1 ie 6 integers, there must be one even integer, as there are only 5 total odd integers in series.PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
53 and 17
Step-by-step explanation:
If you add 53 and 17, you get 70.
If you subtract 17 from 53, you get 36. Hope this helps!
Which expresses shows another way to write 36+16?
4(9 + 4), because :
4 * 9 + 4 * 4 = 36 + 16
For this cylinder the radius = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the surface area?Use 3.14 what is this answer
Answer:
896.784
Step-by-step explanation:
Comment if you want the explanation
*NEED HELP QUICKLY*
my son is doing a math assignment and he needs this done within the hour. i tried to help with it but math isn’t my strong suit.
Answer: undefined
Step-by-step explanation:
I think im not sure tho
Consider the number line.
+
+
-1
0
1
What is the value of x on the number line?
А
-1.5
B
-0.5
с
0.5
D
1.5
a
-1.5
what is the temperature halfway between 20 degrees and -10 degrees?
Answer:
The temperature halfway is -5 degrees farenheit/celcious
Step-by-step explanation:
the difference is 30 degrees
30 / 2 = 15
20 - 15 = -5
-10 + 15 = -5
Hope I helped! Plz mark as brainliest! Have a nice day/night!!! :D
-Lil G
Use the ray tool to graph f(x)=−|x+2|
First plot the endpoint of the ray, then plot any point on the ray.
Answer: Graphed points I used, (-2,0), (0,-2), and (-3,-1)
Step-by-step explanation:
The graph of given function is attached below.
Absolute value function:The given function is,
[tex]f(x)=-|x+2|[/tex]
We have to draw the graph of above function.
When [tex]x=-2[/tex] , [tex]f(-2)=0[/tex]
When [tex]x=-4[/tex] , [tex]f(-4)=-|-4+2|=-2[/tex]
When [tex]x=0[/tex], [tex]f(0)=-2[/tex]
Thus, We have points [tex](-2,0),(-4,-2)[/tex] and [tex](0,-2)[/tex]
The graph of function attached below.
Learn more about the graph of function here:
https://brainly.com/question/24335034
5.) Mother went to the supermarket. She bought 1.8 kg of chicken at Php120.50 a kilo
Find the cost of the chicken.
Answer:
1.8×120.50, and u shd get the ans
Which equation is another way to show
5/4?
A. 1/5x1/4=
B. 4x1/5=
C. 4 divided by 5=
D. 5 divided by 4=
E. 5+1/4=
Answer:
D
Step-by-step explanation:
5 divided by 4 is just 5/4 written out
15, 16, 21 determine wether the triangle is acute
Answer:
no they don't because you could not use those numbers
Pleaseeeee helppppppp
Answer:
TIK TOK
Step-by-step explanation:
ON THE CLOCK
What is the area of the top AND bottom faces?
Answer:
Top : 24cm²
Bottom : 24cm²
Step-by-step explanation:
Surface area : Base × Height
Top :
3 × 8 = 24
Bottom :
3 × 8 = 24
2 and 1/6 of a foot converted into inches as a fraction
Answer:
26 inches
Step-by-step explanation:
1 foot = 12 inches
a tank holds 49 litres of oil. if 7 litres leaked what percentage of oul has leaked
The percentage of oil that has leaked from the tank is 14.29%.
Given the following data:
Tank capacity = 49 litres.Oil leakage = 7 litres.To determine the percentage of oil that has leaked from the tank:
How to calculate percentage.Mathematically, the percentage for the amount of oil leakage in this tank is given by this formula:
[tex]Percentage = \frac{Oil\;leakage}{Tank\;capacity} \times 100\\\\[/tex]
Substituting the given parameters into the formula, we have;
[tex]Percentage = \frac{7}{49} \times 100\\\\Percentage = 0.1429 \times 100[/tex]
Percentage = 14.29%.
Read more on percentage here: https://brainly.com/question/24304697
the parallelogram height is 1 and 1/2 times the base length and the base length is 6
One die, numbered 1, 2, 3, 4, 5, 6 is rolled. What is the probability of rolling a 1 or a 6?
Answer:
1/3
Step-by-step explanation:
There are 2 different options to get a 1 or a 6 out of 6 total options, so:
2/6 = 1/3.
Which of the following gives a valid reason for using the given solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation Il: 2x + 3y = 2
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.
B
Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I
0
Substitution: Equation I can be solved for x in one step by dividing both sides by 4.
D.
Substitution: Equation Il can be solved for x in one step by subtracting 3y from both sides.
Answer:
C
Step-by-step explanation: