Answer:
[tex]P(x<810)=0.5[/tex]
[tex]P(x<800) = 0[/tex]
[tex]P(x>808.40) = 0.58[/tex]
[tex]P(x\le805.40\ or\ x\ge 808.40) = 0.85[/tex]
Step-by-step explanation:
Given:
[tex]F(x) = \left\{\begin{array}{ll}{0} &; {x<800^{\circ} \mathrm{C}} \\ {0.05 x-40} &; {800^{\circ} \mathrm{C} \leq x<820^{\circ} \mathrm{C}} \\ {1} &; {x>820^{\circ} \mathrm{C}}\end{array}[/tex]
Solving (a): P(x < 810)
To solve this, we make use of:
[tex]P(x<810) = F(x) = 0.05x - 40[/tex]
Because
[tex]800^\circ C \le 810 \le 820^\circ C[/tex]
So:
[tex]F(x) = 0.05 * 810 -40[/tex]
[tex]F(x) = 40.5 -40[/tex]
[tex]F(x) = 0.5[/tex]
Hence:
[tex]P(x<810)=0.5[/tex]
Solving (b): P(x < 800)
To solve this, we make use of:
[tex]P(x<800) = F(x) = x[/tex]
Because:
[tex]x < 800^\circ C[/tex]
So:
[tex]P(x<800) = 0[/tex]
Solving (c): P(x > 808.40)
Here, we make use of complement rule:
[tex]P(x>808.40) = 1 - P(x \le 808.40)[/tex]
Where:
[tex]P(x\le808.40) = 0.05x - 40[/tex]
[tex]P(x\le808.40) = 0.05*808.40 - 40[/tex]
[tex]P(x\le808.40) = 0.42[/tex]
So:
[tex]P(x>808.40) = 1 - 0.42[/tex]
[tex]P(x>808.40) = 0.58[/tex]
Solving (d) The probability that the temperature lies outside 805.60 and 808.40
First, we calculate the probability that it lies within.
This is represented as:
[tex]P(805.40 < x < 808.40)[/tex]
This is calculated using:
[tex]P(805.40 < x < 808.40) = F(808.40) - F(805.40)[/tex]
[tex]P(805.40 < x < 808.40) = 0.05*808.40-40 - (0.05*805.40-40)[/tex]
[tex]P(805.40 < x < 808.40) = 0.42 - (0.27)[/tex]
[tex]P(805.40 < x < 808.40) = 0.42 - 0.27[/tex]
[tex]P(805.40 < x < 808.40) = 0.15[/tex]
Using complement rule, the required probability is:
[tex]P(x\le805.40\ or\ x\ge 808.40) = 1 - 0.15[/tex]
[tex]P(x\le805.40\ or\ x\ge 808.40) = 0.85[/tex]
Marcos is making a pyramid in his wood shop class. The base of the pyramid is a rectangle. 6 What is the surface area of the pyramid? Show your work.
A pyramid has a square base. The ratio of the base edge to the height of the pyramid is 2:9. If the base edge is 8 units, what is the volume of the pyramid?
Emil was dividing his candy among 15 friends and himself. If eachperson received 4 pieces, how many pieces of candy did Emil have to start with? Define a variable and write an equation. Solve the equation and check your solution.
Select the correct answer.
Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor a function?
y = 3:2 - 95 + 20
OA neither a relation nor a function
OB. both a relation and a function
OC function only
OD. relation only
Answer:
B. both function and relation
Step-by-step explanation:
Can someone please help me with this
Answer:
I'm not sure but...
Step-by-step explanation:
If I were you I would divide 48 by 14. And see how that leads out...I'm sorry if that will not help you...
A 90° rotation about the origin maps APQR to ALMN. Are the
triangles congruent?
Answer:
No
Step-by-step explanation:
State the operation used to solve the following equation X -7 equals 15
Answer:
x = 22
Step-by-step explanation:
The x Is a number that is greater than the 15.
so you add the 7 and the 15 which gives you 22
22-7 equals 15
Hope this helps
Peter the Leprechaun has 526 gold bars that he arranges evenly into 24 pots. Each gold bar weighs 2.2 pounds. A) How many bars of gold are in each pot?
Answer: 21
Step-by-step explanation: The amount the gold bar weighs is extra information and is meant to throw you off, 526/24 is 21.9 but because you can’t have a decimal amount of gold bars it’s just 21 in each pot.
Please help! Will mark you. BRAINLY! And will give you more points
Step-by-step explanation:
the answer is
[tex]y = {x}^{3} [/tex]
i will give you brainliest whoever answers correct first!!
Answer:
isn't it just 3
Step-by-step explanation:
isn't it just 3 bc there r only 3 students out of the entire class that doesnt play both instrument and sports
Answer:
12.5% chance
Step-by-step explanation:
There 24 students in total
When you divide the fraction out, you get 0.125. To turn that into a percentage, you simply multiply by 100. 0.125*100=12.5% you can check this by taking 12.5% of 24, which will give you an answer of 3.
Olive has a plastic container shaped like a cube to put slime in. She measures one side and finds that it’s 0.5 foot long. Use the formula V = s3 to determine how many cubic feet of slime will fit in her container. PLEASE HELP!
Answer:
0.125 cubic feet
Step-by-step explanation:
Since the container has a shape of a cube with a measure of its side 0.5 ft, then;
Volume of the container, V = [tex]s^{2}[/tex]
where s is the measure of its side.
s = 0.5 ft, then;
V = [tex](0.5)^{3}[/tex]
= 0.125
V = 0.125 cubic feet
The cubic feet of slime that would fit in the container is 0.125.
Question 4
Which of the following describes an equilateral triangle? Mark ALL that apply.
All angles are the same degree measure.
All sides are the same length.
Each angle measures 60°.
No sides are equal in length.
Each angle is a different measure.
Question 5
Answer:
A, B, & C
Step-by-step explanation:
An equilateral triangle is one that has (A) all equivalent angle measures & (B) all the sides are the same length.
since a triangle is equal to 180º, & since there are 3 angles in a triangle: (C) each angle measures 60º.
Hope this helps! Have a great day!
Sorry this was the questions
9514 1404 393
Answer:
(c) 90 m
Step-by-step explanation:
The perimeter is the sum of the side lengths. Each of the lower-right and lower-left indents can be reversed to make the figure a 20 m by 25 m rectangle without changing the perimeter. Then the perimeter is ...
P = 2(L +W)
P = 2(25 m + 20 m) = 2(45 m)
P = 90 m
_____
If you start at the upper left corner and work clockwise, the perimeter is the sum of segment lengths ...
P = 20 m + 5 m + 8 m + 20 m + 4 m + 20 m + 8 m + 5 m
P = 90 m
__
The units must be given as part of the measurement of the perimeter. That is why choice B (90) is inappropriate.
Write an equation that is equivalent to 1/4 plus 1 plus 3/4 minus 2/3 minus 1/2
Answer:1/4 + 1/4 = 1/2 = 0.5
Estimate the sum or difference 6/10+7/12
Step-by-step explanation:
in decimal format I got 1.183
the three is repeating
Consider randomly selecting a student who is among the 12,000 registered for the current semester in a college. Let X be the number of courses the selected student is taking, and suppose that X has the following probability distribution: x 1 2 3 4 5 6 7 f(x) 0.01 0.02 0.12 0.25 0.42 0.16 0.02 a. Find the cdf of X. b. Find the expected number of courses a student is taking this semester. c. Find the variance of X. d. Find the third quartile of this distribution.
Answer:
a)
[tex]P(X \leq 1) = 0.01[/tex]
[tex]P(X \leq 2) = 0.03[/tex]
[tex]P(X \leq 3) = 0.15[/tex]
[tex]P(X \leq 4) = 0.40[/tex]
[tex]P(X \leq 5) = 0.82[/tex]
[tex]P(X \leq 6) = 0.98[/tex]
[tex]P(X \leq 7) = 1[/tex]
b)
4.61
c) 1.1579
d) 5 is the third quartile of this distribution.
Step-by-step explanation:
We are given the following discrete distribution:
[tex]P(X = 1) = 0.01[/tex]
[tex]P(X = 2) = 0.02[/tex]
[tex]P(X = 3) = 0.12[/tex]
[tex]P(X = 4) = 0.25[/tex]
[tex]P(X = 5) = 0.42[/tex]
[tex]P(X = 6) = 0.16[/tex]
[tex]P(X = 7) = 0.02[/tex]
a. Find the cdf of X.
Probability of X being less of equal to x. Than
[tex]P(X \leq 1) = P(X = 1) = 0.01[/tex]
[tex]P(X \leq 2) = P(X = 1) + P(X = 2) = 0.01 + 0.02 = 0.03[/tex]
[tex]P(X \leq 3) = P(X \leq 2) + P(X = 3) = 0.03 + 0.12 = 0.15[/tex]
[tex]P(X \leq 4) = P(X \leq 3) + P(X = 4) = 0.15 + 0.25 = 0.40[/tex]
[tex]P(X \leq 5) = P(X \leq 4) + P(X = 5) = 0.4 + 0.42 = 0.82[/tex]
[tex]P(X \leq 6) = P(X \leq 5) + P(X = 6) = 0.82 + 0.16 = 0.98[/tex]
[tex]P(X \leq 7) = P(X \leq 6) + P(X = 7) = 0.98 + 0.02 = 1[/tex]
b. Find the expected number of courses a student is taking this semester.
Multiplication of every outcome by its probability.
[tex]E = 0.01*1 + 0.02*2 + 0.12*3 + 0.25*4 + 0.42*5 + 0.16*6 + 0.02*7 = 4.61[/tex]
c. Find the variance of X.
Multiplication of the squared subtraction of each value and the mean, multiplied by its probability. So
[tex]V = 0.01*(1-4.61)^2 + 0.02*(2-4.61)^2 + 0.12*(3-4.61)^2 + 0.25*(4-4.61)^2 + 0.42*(5-4.61)^2 + 0.16*(6-4.61)^2 + 0.02*(7-4.61)^2 = 1.1579[/tex]
d. Find the third quartile of this distribution.
100*(3/4) = 75th percentile
The cdf passes 0.75 when X = 5, so 5 is the third quartile of this distribution.
Identify two equivalent fractions: 1/2
Answer:
2/4 3/6 4/8 5/10 6/12 7/14 8/16 9/18 10/20
Step-by-step explanation:
Roberto makes 35% of the shots he attempts in basketball. How many shots does he make if he attempts 20 shots?
Answer:
Roberto makes 7 shots
Step-by-step explanation:
35% is 0.35 as a decimal. Multiply the decimal by the total amount of attempted shots.
20(0.35)=7
Roberto makes 7 shots.
6. Cynthia walks 6 miles at a rate of 2 miles
per hour. How long will it take her to
arrive at her destination?
Answer:
3
Step-by-step explanation:
6 / 2 = 3 hours
Please help it’s for my test I’ll give points to who ever is correct and gives an honest answer
Answer:
A
Step-by-step explanation:
(f-g) = f(x) - g(x)
([tex]4^{x-1}[/tex] + 6) - (2x - 5)
[tex]4^{x-1}[/tex] + 6 + 2x + 5
[tex]4^{x-1}[/tex] + 2x + 11
can u help solve this
Answer and Step-by-step explanation:
The expression is equal to 90.
This is because the lines that cut the right angle are cutting it in half, so those base angles are 45, leaving the center angle to be 90 (90 + 45 + 45 = 180).
90 = 19x + 4.5
85.5 = 19x
x = 4.5
The value of x that makes the parallelogram a square is 4.5.
I hope this helps!
#teamtrees #PAW (Plant And Water)
Solve 3x + 2y = 11 for y
Answer:
y=-3/2x+5.5
Step-by-step explanation:
Subtract 3x from both sides. You are left with 2y=-3x+11. To isolate the y by itself, divide by 2 on both sides. you are left with y=-3/2x+5.5
pls pls pls pls helpppp
Answer:
$5.95
Step-by-step explanation:
7/20 = .35 cents per ounce
.35*17=5.95
If Mario drives at a rate of 70 miles per hour, how long will it take him to drive 700 miles?
Answer:
dam mario u trying get a speeding ticket
bu the answer is 10 if im not mistaken
Step-by-step explanation:
From a rope that is 11 feet long, two pieces of length 13/5 feet and 3.3 feet are cut off. What is the length of the remaining rope?
Answer:
13/5 of 11 feet should be 343 inches aka 28.58 feet
28.58 feet minus 3.3 feet should be 25.28 feet
I believe your answer would be 25.28 feet or 303.36 inches
Step-by-step explanation:
Eber bought a new pair of baseball cleats for $64.95. The sales
tax is 5.5%. What is the total cost that Eber will pay?
can you please help me with this question?
Answer:
I have made it in above picture
hope it helps
Aisha got a new job and will have to move. Her monthly income will be $5,265. To qualify to rent an apartment, Aisha’s monthly income must be at least three times as much as the rent. What is the highest rent Aisha will qualify for?
Answer:
$1755
Step-by-step explanation:
Make a sketch of a fourth degree polynomial function with two complex roots and two real roots
I cannot really graph it but I will try my best to explain.
When you have a coordinate plane draw from right to left, up to down.
Now starting from righthand top corner, draw a smooth curve just like how you will draw a quadratic equation, through the x axis then curve back making the graph touch the axis at 2 points. That's the 2 real roots
Now make another curve down but this time not touching the x axis and then curving back up to the top left corner, this meant the 2 complex roots.
This is not the only way to do it, as long as one complete curve is not touching the x axis and another complete curve, weather as a whole or combined is touching the x axis at 2 points, it has 2 real and complex roots.
simplificar y sumar
12 + 7 + 10 =
---- ---- ---
Answer:
12 + 7 = 19
19 + 10 = 29
answear = 29