There are 797 identical plastic chips numbered 1 through 797 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507
Answer:
0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507
Step-by-step explanation:
The probability of drawing each chip is the same, which means that the uniform distribution is used to solve this question.
Uniform distribution:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value lower than x is given by:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
There are 797 identical plastic chips numbered 1 through 797 in a box.
This means that [tex]a = 1, b = 797[/tex]
What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507?
[tex]P(X < 507) = \frac{507 - 1}{797 - 1} = 0.6357[/tex]
0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507
You want to buy a shirt that is originally $32.95. It is on sale for 20% off! What is the shirt's SALE price?
every day, andrews orange juice stand uses 2 bags of oranges. How many days with 2/3 of a bag of oranges last?
Answer:
2/3
Step-by-step explanation:
HELPPPP!!!!!!!!!!!!!
Answer:
Its A
Step-by-step explanation:
ez
Answer:
A
Step-by-step explanation:
y= -3x + 7
solve for x. x+53=99 A.36 B.46 C.47 D.152
Answer:
Hii, the answer B. 46
Step-by-step explanation:
x+ 53 = 99
So to find what x equals we just do simple subtraction
99 - 53 = 46
so x = 46
Hope this helps!
A polynomial function has zeros at 5/2 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function in standard form that could represent this function
Answer:
-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7
Step-by-step explanation:
[tex](x-5/2)^{2}(x-3)(x-0)^4 =0\\(2x-5)^{2}(x-3)(x)^4 =0[/tex]
Expand and get
-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7
The standard form will be [tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
What will be the standard form of the given expression?The given expression is
[tex](x-\dfrac{5}{2})^2(x-1)^2(x-0)^4=0[/tex]
[tex](x^2-5x+\frac{25}{4} )(x^2-2x+1)(x^4)=0[/tex]
[tex](x^4-2x^3+x^2-5x^3+10x^2-5x+\dfrac{25x^2}{4} -\dfrac{50}{4} x+\dfrac{25}{4} ) x^4=0[/tex]
[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
Thus the standard form will be
[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
To know more about Polynomials follow
https://brainly.com/question/15702527
Tonya has 39 packages. Each package weighs 6 pounds. Choose the best estimate of the total weight of the packages.
Step-by-step explanation:
If were estimating, 39 is pretty close to 40 and 40x6 is 240 pounds. if we are getting exact about it, then 234 pounds
18 less than the quotient of a number and -5 is no less than 31
Answer:
1
Hope this helps!!!!
Rewrite the expression using the fewest terms possible n ( 3 + 2) + 3n
Describe the slope of the line.
The slope is
Find the slope.
m =
step by step explanation
Answer:
The slope is POSITIVE.
The line has a slope of positive 4/3
Step-by-step explanation:
It rises 4 then runs 3.
Find the volume.please :>
Answer:
The volume of the cube is 77 inches.
Ive been staring at this for a long time now, pls help
Answer:
9
Step-by-step explanation:
I replaced the missing variable with x and solved the equation from there.
Answer:
10.75
Step-by-step explanation:
i got this because the first part says 13 × 3/8 so this means that the numbers 2 × 3/8 + 3/8 + 3/8 and the unknown number have to equal 13. so when u multiply 2 x 3/8 you get .75 and then you add the two other numbers and get 1.5 and then you subtract 1.5 from 13 and you get 11.5
PHEWW
What is the average rate of change for f(x) = 2 ^ x + 10 over the interval 2 <= x <= 4
I don't get this question
Answer:
Q = 85°
Step-by-step explanation:
P + Q = 180° (angles on the same side of transversal)
95° + Q = 180°
Q = 180° - 95°
Q = 85°
What’s the answer to this
Evaluate the following expressions: (2×3)2-52
Rewrite 10x - 5y = -30 in slope-intercept form.
somebody help me wit dis
Answer:
y = 2x + 6
Step-by-step explanation:
10x - 5y = -30
-5y = -10x - 30
y = 2x + 6
A very large bag contains more coins than you are willing to count. Instead, you draw a random sample of coins from the bag and record the following numbers of each type of coin in the sample before returning the sampled coins to the bag. If you randomly draw a single coin out of the bag, what is the probability that you will obtain either a quarter or a penny
Missing Details
Quarters ≡ Dimes ≡ Nickels ≡ Pennies
23 ≡ 29 ≡ 17 ≡ 38
Answer:
[tex]P(Q\ or\ P) = 0.5701[/tex]
Step-by-step explanation:
Given
[tex]Quarters = 23[/tex]
[tex]Dimes = 29[/tex]
[tex]Nickels = 17[/tex]
[tex]Pennies = 38[/tex]
First, we calculate total number of coins
[tex]Total = 23 + 29 + 17 + 38[/tex]
[tex]Total = 107[/tex]
The probability of obtaining quarter (Q) of penny (P) is:
[tex]P(Q\ or\ P) = P(Quarters) + P(Pennies)[/tex]
[tex]P(Q\ or\ P) = \frac{n(Quarters)}{Total} + \frac{n(Pennies)}{Total}[/tex]
Take LCM
[tex]P(Q\ or\ P) = \frac{n(Quarters) + n(Pennies)}{Total}[/tex]
[tex]P(Q\ or\ P) = \frac{23 + 38}{107}[/tex]
[tex]P(Q\ or\ P) = \frac{61}{107}[/tex]
[tex]P(Q\ or\ P) = 0.5701[/tex]
What Is The Answer
k3 - 4j +12, when k=8, j=2
Answer:
The answer would be 28
Step-by-step explanation:
You would plug 8 in where k is and 2 where j is
so (8)3 - 4(2) +12
answer is 28
can someone help me ? Finding the slope graphically! Please hurry
Answer:
Step-by-step explanation:
they are asking for the triangle the "hangs " off the line, and so that it's in integer units.
by looking at the graph, I think if you were to draw a line on the y =4 ... so a flat horizontal like from the y axis at 4 on the y axis over to your graphed line.. that would do it.. :/ get it?
then the y axis is the "rise" and the line going from the y axis, horizontallly over to the graphed line, from 4.. and staying on 4 to the line... would be the run... :? I think this will be tough to get
A farmer sells 8.9 kilograms of pears and apples at the farmer's market. 1 4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
7.5 kilograms of apples
Step-by-step explanation:
Take the total amount and subtract the amount of pears.
8.9-1.4=7.5
Answer:
If 2/5 are apples, 2/5 x 8.9 kilos = 0.4 x 8.9 = 3.56 kilos of apples
pears = 8.9 - 3.56 = 5.34 kilos
if apples are 2/5, then pears are 3/5. 3/5 x 8.9 = .6 x 8.9 = 5.34 kilos of pears
The manufacturer of a low-calorie dairy drink wishes to compare the taste appeal of a new formula (formula B) with that of the standard formula (formula A). Each of four judges is given three glasses in random order, two containing formula A and the other containing formula B. Each judge is asked to state which glass he or she most enjoyed. Suppose that the two formulas are equally attractive. Let Y be the number of judges stating a preference for the new formula. a Find the probability function for Y . b What is the probability that at least three of the four judges state a preference for the new formula
Answer:
a) [tex]P_y = \frac{4}{y} * \frac{1}{3}^y * \frac{2}{3}^{4-y}[/tex]
b) 0.033
Step-by-step explanation:
Let Y represents the number of judges preferring a formula.
There are total four judges and each judge can select either A or B
n = 4, p = 1/3
a) The probability function is
[tex]P_y = \frac{4}{y} * \frac{1}{3}^y * \frac{2}{3}^{4-y}[/tex]
b)
Substituting the value of y -3 in above equation, we get -
[tex]P_3 = \frac{4}{3} * \frac{1}{3}^3 * \frac{2}{3}^{4-3}\\= \frac{4}{3} * 0.037 * 0.67\\= 0.033[/tex]
Both Dominic and Zoe are 4 feet 6 inches tall. What is their combined height in inches?
Answer:
Their combined height is 108 inches
Step-by-step explanation:
1 ft = 12 inches
12 * 4 = 48 inches
48 + 6 = 54 inches
54 * 2 = 108 inches
Answer:
9 ft and 0 inches
Step-by-step explanation:
4 ft 6 inch + 4 ft 6 inch = 8ft 12inch
12 inches = 1 foot
8 ft + 1 ft = 9ft
Write the equation in standard form for the circle x^2 + y^2 - 14y + 24 = 0
Answer:
x^2+(y-7)^2=25
Step-by-step explanation:
x^2+y^2-14y=-24
x^2+(y-7)^2-49=-24
x^2+(y-7)^2=25
Round 1526.04 to the nearest tenths
In AIJK, the measure of K=90°, IJ = 8.6 feet, and KI = 4.5 feet. Find
the measure of ZI to the nearest tenth of a degree.
Answer:
58.4
Step-by-step explanation:
delta math give up
A triangular prism has a volume of 400 cubic inches. The area of base is 25 square inches What is the height of the prism?
can somebody help me?
Answer:
15x + 7
Step-by-step explanation:
i set this up
8x + 16 + 7x -9
the next step is to combine like terms
8x + 7x = 15x
16 - 9 = 7
15x = 7
15x + 7
Solve 4ax + 5ax = 6 ax + 9 for x. Assume a = 0.
Step-by-step explanation:
4ax + 5ax = 6 ax + 9
If a=0
Then
0+0≠0+9
so x is undefined
If the value of 'a' is zero. Then the solution of the equation will be not defined.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The equation is given below.
4ax + 5ax = 6ax + 9
Simplify the equation for x, then the equation is given as,
4ax + 5ax = 6ax + 9
4ax + 5ax - 6ax = 9
3ax = 9
x = 3 / a
If the value of 'a' is zero. Then the solution of the equation will be
x = 3 / 0
x = not defined
If the value of 'a' is zero. Then the solution of the equation will be not defined.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
an electronics store is having a 20%-off on all cell phones. the original price of a cell phone is x dollars. which expression represents the sale price of a cell phone?
a. x - 0.2
b. x - 0.8
c. 0.2*x
d. 0.8*x
Answer: x*.2
Step-by-step explanation:
When you are trying to find the sale price you want to multiply the origanal price of the cellphone to the percentage you are getting off. Hope this helped!