Answer:
(a)
[tex]\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}[/tex]
(b)
[tex]P(3 \le x \le 6) = 0.30[/tex]
[tex]P(4 \le x)=0.60[/tex]
Step-by-step explanation:
Given
[tex]F(x) = \left[\begin{array}{ccc}0& x<1 &\\0.30&1 \le x<3 &\\0.40&3 \le x < 4& &0.45 &4 \le x<6 &\\0.60 & 6 \le x < 12 & & 1 & 12 \le x\end{array}\right[/tex]
Solving (a): The pmf
This means that we list out the probability of each value of x.
To do this, we simply subtract the current probability value from the next.
So, we have:
[tex]\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}[/tex]
The calculation is as follows:
[tex]0.30 - 0 = 0.30[/tex]
[tex]0.40 - 0.30 = 0.10[/tex]
[tex]0.45 - 0.40 = 0.05[/tex]
[tex]0.60 - 0.45 = 0.15[/tex]
[tex]1 - 0.60 = 0.40[/tex]
The x values are gotten by considering where the equality sign is in each range.
[tex]1 \le x < 3[/tex] means [tex]x = 1[/tex]
[tex]3 \le x < 4[/tex] means [tex]x = 3[/tex]
[tex]4 \le x < 6[/tex] means [tex]x=4[/tex]
[tex]6 \le x < 12[/tex] means [tex]x = 6[/tex]
[tex]12 \le x[/tex] means [tex]x = 12[/tex]
Solving (b):
[tex](i)\ P(3 \le x \le 6)[/tex]
This is calculated as:
[tex]P(3 \le x \le 6) = F(6) - F(3-)[/tex]
From the given function
[tex]F(6)= 0.60[/tex]
[tex]F(3-) = F(1) = 0.30[/tex]
So:
[tex]P(3 \le x \le 6) = 0.60 - 0.30[/tex]
[tex]P(3 \le x \le 6) = 0.30[/tex]
[tex](ii)\ P(4 \le x)[/tex]
This is calculated as:
[tex]P(4 \le x)=1 - F(4-)[/tex]
[tex]P(4 \le x)=1 - F(3)[/tex]
[tex]P(4 \le x)=1 - 0.40[/tex]
[tex]P(4 \le x)=0.60[/tex]
the degree of the polynomial p³q²-6p²q⁵+p⁴q⁴
Step-by-step explanation:
[tex]p^{3}q^{2}-6p^{2} q^{5} +p^{4} q^{4}[/tex]
So since the highest index/power is 5 the degree is 5
Hope that helps :)
(88)(√75)
HELP ASAP....
Answer:
sqr75=sqr25*sqr3=5*sqr3
88(5*sqr3)
decimal = 762.10235533
Answer:
440√3Step-by-step explanation:
Given:
88√75Solution:
88•√(5^2 * 3)Rewrite the expression as:
88•(5√3)Multiply 88 into 5:
440√3762.102 ( 3 decimal place )Ed is 7 years older than ted. Ed is also 3/2 times teds age. How old are ed and ted
Answer: Ted is 14 years old, Ed is 21 years old
Answer: Ted is 14 years old, and Ed is
21 years old.
Explanation is in the image.
A mini cooper is 120 inches long. A truck is 83% longer than the car.
How long is the truck?
Answer:A 16-ounce can of mixed nuts includes 6 ounces of cashews and 10 ounces of almonds. What is the ratio of almonds to mixed nuts in this can of nuts?
Step-by-step explanation:
Answer:
705.8823529411765
Step-by-step explanation:
You find out what percent the Mini Cooper is a subtract that from the full 100%. You would then have 17%. Now you need to divide the 120 inches by 17 to find out what 1% equals. In this case 7.058823529411765, now you multiply by 100 to get the full 100%. The answer is 705.8823529411765
A therapist wants to study the effects of yoga and meditation on stress relief. She has 60 volunteers who experience varying levels of stress. Half of the participants will be assigned to practice yoga for one month and the other half will practice meditation. Before the experiment begins, all of the participants will be asked to rate their stress levels on a scale from 0 to 10, with 0 representing "no stress” and 10 representing "highest level of stress.” At the end of one month, the participants will be asked to rate their stress level again. The differences in stress levels will be compared. Which of the following describes a completely randomized design for this experiment?
Answer:
The answer is C
Step-by-step explanation:
I got a 100% on edge
Answer:
The answer is "Yes, but the effects of the first treatment may affect the results of the second treatment."
Step-by-step explanation:
got it right on edge
3
Evaluate the function f(x) = (x + 2)2 for the given inputs.
a. f(5)=
b. f(-3) =
c. f (x+3) =
Answer:
a. 49
b. 1
c. x^2+10x+25
Step-by-step explanation:
Symply substitute the values (5, -3, x+3) in the equation (x+2)^2
factor the polynomial f(x) = X^3+5x^2+7X+3
Answer:
Step-by-step explanation:
Third level polynomial, so three factors
Only whole numbers, so only whole number x⁰ factors
whole number factors of 3 are 1,1,3 or 1,-1,-3 or -1,-1,3
let's try (x + 3) as a factor
x² + 2x + 1
x + 3 | x³ + 5x² + 7x + 3
- x³ + 3x²
2x² + 7x
- 2x² + 6x
x + 3
- x + 3
0
so (x + 3) is a factor and x² + 2x + 1 factors to (x + 1)²
x³ + 5x² + 7x + 3 = (x + 3)(x + 1)(x + 1)
finding the missing number 2 4 6 __ 10 12
Answer:
8 because the pattern goes up by 2 each time
Answer:
8
Step-by-step explanation:
A cylindrical barrel has a radius of 2.1 ft and a height of 14 ft. Doubling which dimension(s) will double the volume of the barrel?
Answer:
Step-by-step explanation:
r = 2.1 feet
h = 14 feet
V = pi r^2 h
V = 3.14 * 2.1^2 * 14
V = 193.85
Let h = 28 feet
V = pi * r^2 * h
V = 3.14 * 3.2^2 * 28
V = 387.72
If you divide 387.72 by 2 you get 193.86
The difference in the hundreds place comes about because of the rounding that took place.
The answer to your question is you must double the height,
Solve the inequality 2x^2-6>0
Answer:0
Step-by-step explanation:
What is the perimeter, in feet, of the polygon?
Step-by-step explanation:
please post the question correctly to get the answer.
Please help me! Im a little bit stumped!
Answer:
2x+34=4x+20
14=2x
x=7
Step-by-step explanation:
So the answer is 7
Answer:
some bedmas laws you have to use
first do the 4(x+5) since its distubutive
you get 2x + 34 = 4x + 20 normally i like to keep x positive so i dont have to divide by -1 at the end so subtract 5 to the other side qnd subtract 2x to the other side and you get
2x= 14
x = 7 is the answer
Which of the tables represents a function? (1 point)
Table A
Table B
Table C
Table D
Input Output Input Output Input Output Input Output
4 2
5 9
4 3
4 7
9 2
9 3
7 9
4 3
6 5
2 7
8 7
6 5
8 5
Answer
in think it's (C)
Step-by-step explanation:
Which property is illustrated by the equation?
(2x + 1) + 3y = 2x + (1 + 3y)
Answers: Commutative Property of Addition, Identity Property of Addition, Associative Property of Addition, or Distributive Property of Addition.
Answer:
Associative Property of Addition
Step-by-step explanation:
Associative Property of Addition - if the grouping changes, the answer will be the same - Correct (2 + 3) + 5 = 2 + (3 + 5)
Identity Property of Addition - anything added by 0 will equal itself (5 + 0 = 0, 2.3 + 0 = 2.3, etc.)
Commutative Property of Addition - if the order changes, the answer will be the same (2 + 3 = 5 and 3 + 2 = 5 also)
Distributive Property of Addition - allows you to "distribute" a number (2(3 + 5) = 2 * 3 + 2 * 5 = 6 + 10 = 16)
Need it now ‼️‼️‼️‼️will give brain list to who ever answers first
Answer:17/18
Step-by-step no explation
Which of the following function pairs are inverses?
Pre college need help thiss
Answer:
25
-35
5
Step-by-step explanation:
yeah-ya.............. right?
24 peppermint; 8 to 5
Question
Round to the nearest ten: 1,078
Answer:
7 = 7 * 10 = 70
Step-by-step explanation:
Answer:
• 1080
Step-by-step explanation:
How to Calculate Rounding to the Nearest Tens Whole Number?
If the ones digit (first number after decimal point) of the number is greater than or equal to 5 we add 1 to tens of number, If the ones digit of the number is less than 5 we change ones digit to 0.
Example:
1026The ones number is 66 is greater than 5, so we add 1 to tens.Result = 1030[tex] \: [/tex]
help pls dawg i aint tryna get an F
Answer:
The answer is d hope this helps!!
Step-by-step explanation:
Divide by lomg division
Seven less than twice a number is 43. What is the number?
Answer:
25
Step-by-step explanation:
x = the number
2x - 7 = 43
+7 +7
-----------------
2x = 50
------------
2 2
x = 25
14. A triangle has vertices at A(4,2), B(-4,-2), and
C(2, 4). If the triangle is dilated with respect to the
origin using a scale factor of 172, what will the
coordinates for the new vertices be?
A A' (2.1). B' (-2,-1), and C (1.-2)
B. A (8.4), B (-8,-4). and C (4. - 8)
C. A' (1,2), B (-1,-2), and C (-2. - 1)
D. A (-2,-1), B' (-2,-1), and C° (-1,2)
Answer:
A
Step-by-step explanation:
Each coordinate of the triangle will have to dilate by 1/2 in order for the triangle to be fully dilated. Let's check each option to see which one has the correctly dilated points.
First, we'll look at A. A(4, 2) goes to A'(2, 1)... which is looking good so far! Half of 4 is 2, and half of 2 is 1, so the right dilation was applied. Next, let's check out B. B(-4, -2) goes to B'(-2, -1), which is still looking okay. Half of -4 is -2, and half of -2 is -1. Finally, we'll check the point C. If this one is correctly dilated, option A is the right option. C(2, -4) goes to C'(1, -2), and we can now be sure that option A is correct. Half of 2 is 1, and half of -4 is -2.
So, option A is the one to select. Hopefully that's helpful! :)
This is Comparing Quantities
3 days to 40 hours
pls help me
Answer:
1 days= 24 hrs
3 days = 3×1 days
= 3×24 hrs
= 72 hrs
how much simple interest will be earned in 3 years on $2500 in an account that pays 1.5%
Answer
Step-by-step explanation:
Answer:
$112.50
Step-by-step explanation:
1.5% = 0.015
$2500 × 0.015 × 3 = $112.50
PLEASE HELP ME
Question 7 of 10
Which of the following is equal to the fraction below? (5/9)⁸
A. 5⁸/9⁸
B. 5/9⁸
c. 5⁸/9
D. 8•(5/9)
SUBMIT
Answer:
A 5⁸/9⁸
Step-by-step explanation:
the bracket there shows that the power is for both the numerator and denominator so A is the correct answer
Help as soon as possible
do my teeth look straight?
answer asap
Answer:
yeah your teeth is good and strong too
[35 - (8 + 2)x 3 ] what is the answer
Answer:
5
Step-by-step explanation:
[35 - (8 + 2)x 3]
[35 - (10)x 3]
[35 - 30]
[5]
Simplify. Show all steps
-25y - (5y - 41)
what is 8/10 in simplest form
i search it up and found its 4/5
