Answer:
0.2990 = 29.90%.
Step-by-step explanation:
For each trial, there are only two possible outcomes. Either you win $400, or you do not. Trials are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of winning $400 in a trial:
1/4 probability of choosing the suitcase containing $400, and in this case, 0.7 probability of keeping it.
3/4 probability of choosing another suitcase. Then, 0.3 of 3/4 probability of changing the suitcase, and 0.5 of 0.3 of 3/4 probability of getting the suitcase containing $400. So
[tex]p = \frac{1}{4}*0.7 + \frac{3}{4}*0.3*0.5 = 0.25*0.7 + 0.75*0.15 = 0.2875[/tex]
If you play this game five times, the probability that the event W400 occurs twice in five trials is:_______
This is P(X = 2) when n = 5. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.2875)^{2}.(0.7125)^{3} = 0.2990[/tex]
The probability is 0.2990 = 29.90%.
Sarah is bringing treats to her elementary school class on her birthday. The number of treats she brings in is
based on the number of students in her class.
t = the number of treats
S = the number of students
Which of the variables is INDEPENDENT
Answer:
its the student
Step-by-step explanation:
mark me brainliset plz
Mariah worked for 3 hours and earned a total of $28.50. Which equation can be used to find r, the amount of money Mariah earns per hour?
Answer:
she earns about 9 dollars and 50 cents an hour
Step-by-step explanation:
Answer:
r=28.5 divided by 3
Step-by-step explanation:
is 63 the soloution to p/9 = 7
Answer:
yes it is
Step-by-step explanation:
Yes the solution to p/9 = 7 is 63.
A ____________________ is a measurement of the change in variables over a specific period of time.
Group of answer choices
an ordered pair
graph
table
rate of change
Answer:
rate of change
Step-by-step explanation:
The rate of change (ROC) is the speed at which a variable changes over a specific period of time.
Can you guys help me and answer this math question below please I really need help I'll mark brainliest to whoever answers
Answer:
answer is "U"
Step-by-step explanation:
Answer:
U
Step-by-step explanation:
x,y.
go to your left five then up five
Maplewood Supply received a $5,270 invoice dated 4/15/10. The $5,270 included $270 freight. Terms were 3/10, 2/30, n/60.
a. If Maplewood pays the invoice on April 27, what will it pay?
b. If Maplewood pays the invoice on May 21, what will it pay?
Answer:
The invoice gets paid after 12 days, so mapplewood will get a 3% discount (3/30, 3% off if paid within 30 days). I assume that Freight doesn't get a discount, so I subtract it from the invoice value:
$5250-$250 (freight)=$5000
Discounted invoice becomes:
$5000-3%*5000(discount)=$4850
Add the freight back to the new invoice:
$4850+$250=$5,100 if paid on April 27
B) the invoice gets paid after 36 days, so the invoice gets paid in full ( n/60; in other words, invoice paid in full if paid within 60 days, therefore $5,250)
Step-by-step explanation:
find the inequality represented by the graph pleasseee help me
Answer:
y≥1/2x is the answer for this problem
Ivan used 3 rolls of blue fabric to make costumes for the annual school play. He used a total length of 12.6 yards of fabric. If each roll had the same length of fabric, how much fabric was in each roll? Write your answer in inches.
Use the table of conversion facts as necessary, and do not round your answer.
Answer:
Step-by-step explanation:
151.2
An article describes the chemical compositions of certain minerals in the early Archaean mantle. For a certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.35 and standard deviation 0.4. Find the mean and standard deviation of the sample mean SiO2 content in a random sample of 10 rocks. Round the mean to two decimal places. Mean Standard deviation
Answer:
The mean is 40.35 and the standard deviation is 0.13.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.35 and standard deviation 0.4.
Sample of 10:
By the Central Limit Theorem, the mean is 40.35, and the standard deviation is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{0.4}{\sqrt{10}} = 0.13[/tex]
The mean is 40.35 and the standard deviation is 0.13.
si yo tengo 2 Manzanas y muerdo una cuantas manzanas me quedan
Answer:
te quedan una manzana porque muerdises una manzana
What is (-2) ÷ 9
A. - 2/9
B. 18
C. -18
D. 2/9
QUICK PLS PLS IM RUNNING OUT OF TIME
Answer:
A. -2/9
Step-by-step explanation:
the actual answer is -0.22222222222, but it is not listed so the next best answer is A
Answer:
The answer is -0.22222222222
Step-by-step explanation:
Im sorry but there is no other answer :(
how do you solve problems like 6.45/0.25
Answer:
25.8
Step-by-step explanation:
divide
Answer:
divide like i said
Step-by-step explanation:
SOLVE THE TRIANGLE BELOW FOR ALL THE
MISSING PARTS AND FIND THE AREA OF THE
TRIANGLE
b = 7, c = 10, A = 51°
Answer:
The missing part of the triangle should be 7
Step-by-step explanation:
Hope this Helped
HELP ME QUICKLY AND PLS EXPLAIN HOW YOU GOT YOUR ANSWER! ILL EVEN GIVE BRAINLIEST<3
Laura wants to cut the board into equal pieces so that each piece is 5/8 foot long. How many pieces will she have? (The board is 12ft)
Answer:
Step-by-step explanation:
This is a straight forward division problem.
12/(5/8).
The rule for division of fractions is: invert the denominator and multiply.
For this problem: 12/(5/8) = 12 * 8/5 = 96/5.
need help with degree of polynomial
Answer:
The degree of a polynomial is the highest exponential power of a term
So the answer is 5
Since 4x^5 has the highest power
Hope it helps
Whoever can answer this will get brainlyest
Answer:
The proportion is [tex]\frac{35}{108}[/tex] = [tex]\frac{x}{84}[/tex], and the length of the unknown side is [tex]\frac{245}{9}[/tex] or 27.22 approximately rounded to the nearest hundredth.
Step-by-step explanation:
Since the triangles are similar, the proportion of corresponding sides are equal. The pairs of corresponding sides in these triangles which we'll use to solve it are LK, KE, MK, and KF. LK and KE are corresponding sides, and their proportion is [tex]\frac{35}{108}[/tex]. MK and KF are corresponding sides, and their proportion is [tex]\frac{x}{84}[/tex] in which x represents the missing side. The proportions are equal, so [tex]\frac{35}{108}[/tex] = [tex]\frac{x}{84}[/tex]. Multiply both sides by 84 to isolate the variable, and you'll get [tex]x = \frac{35*84}{108}[/tex], which is [tex]\frac{2940}{108}[/tex] or [tex]\frac{245}{9}[/tex].
For algebraic expression 2x4
– 5x3 + 4x. + 7, find (5)
a) Degree of polynomial
b) Number of terms
c) Constant term
d) Coefficient of x
e) Numerical coefficient of -5x3
.
Answer:
See explanations below
Step-by-step explanation:
Given the algebraic expression 2x4– 5x3 + 4x. + 7,
a) The degree is the highest power of x in the equation, from the equation we can see that the highest power of x is 4. HEnce the degree of the equation is 4
b) The terms we have are 2x^4, -5x^3, 4x and 7. In counting, we can see that we only have 4 terms in the equation hence the number of terms is 4
c) The constant term si the term without the variable x. From the equation the only term without variable x is 7. Hence the constant term is 7
d) The number attached t x is known as its coefficient. The number besides x is 4 frim the equation. Hence the coefficient of x is 4.
e) The numerical coefficient of -5x^3 is -5 since the constant value attached to x^3 is -5
X-6 less than or equal to 3
Answer:
X-6 is less than 3
Step-by-step explanation:
=X-6_3
= 6 >3
What are the next three terms in the sequence 4,8,12,16?
Answer:
20,24,28
Step-by-step explanation:
It is increasing by 4 each time
Mark me brainliest please :)
Answer:
20, 24, 28
Step-by-step explanation:
yeah
Each of the following phrases describes a numerical value.
the absolute value of 9
the opposite of 9
Which of the following statements is TRUE about the relationship between the numerical values?
A.
The absolute value of 9 is farther from 0 on a number line than the opposite of 9.
B.
The opposite of 9 is equal to the absolute value of 9.
C.
The opposite of 9 is the same distance from 0 on a number line as the absolute value of 9.
D.
The absolute value of 9 is less than the opposite of 9.
Answer:
C. is the correct answer just that the only difference between then is the negative or minus sign
The perimeter and area of a wall have the same value. If the base of the wall is 7 meters long, what is the height of the wall?
Answer:
I don't know
Step-by-step explanation:
Answer:
Step-by-step explanation:
3
There are 5,000 books in the town's library. Of these,4,400 are fiction. To find the percent of the books that are fiction, first set up the percent equation. Then find the percent. Setup the percent equation. Choose the correct answer below. A. m B. m C. m Your answer is not correct.D. m This is the correct answer. nothing% of the books are fiction
Answer:
4,400=m•5,000 and 88%
What is the value expression of [32 × (2.4 ÷ 4)] + 1.7
Step-by-step explanation:
[32 × (2.4÷4)] + 1.7[32 × 0.6] + 1.719.2 + 1.720.9---------------------------------------FOLLOW MEAnswer: 39.1
Step-by-step explanation:
Work out
A.
32-5x7
B.
3x 8-93
C.
4 x (1 + 5 – 8)
Answer:
what is the question. Please write exponents as follows: 5x^7.
The probability that the cause of a malfunction is due to a faulty car battery is 0.317 (31.7%). Consider the claim that using petroleum jelly to clean terminals decreases the likelihood of developing a faulty car battery, so that the probability is <0.317 (31.7%). The null and alternative hypotheses are shown. 0:1:=0.317<0.317 At a significance level of =0.05 , if the proportion of people who use petroleum jelly to clean terminals and develop a faulty car battery is 31.2% or less, the power to reject the null hypothesis is 0.06. Determine the probability of making a type I and type II error for this hypothesis test. ADAC Breakdown Statistics 2013 - How reliable are our cars?, 2013. Car-Addicts.com. http://www.car-addicts.com/consumer-reports/car-service/most-reliable-cars-breakdown-statistics-2013 (accessed Dec 15, 2015). = =
Answer:
woah
Step-by-step explanation:
a rectangular park has an area of 2/3 square mile. The length of the park is 2 2/3 the width of the park. What is the width of the park?
Answer: Area of the rectangular park = 2/3 square mile
Let us assume the width of the rectangular park = x
Then
The length of the rectangular park = 2 2/3 * x mile
= 8x/3 mile
Then
Area of the rectangular park = Length * Width
2/3 = (8x/3) * x
2/3 = 8x^2/3
(2 * 3)/3 = 8x^2
2 = 8x^2
x^2 = 2/8
x^2 = 1/4
x^2 = (1/2)^2
x = 1/2
So the width of the park is 1/2 feet.
hope this helps have a nice day❤️
Step-by-step explanation:
Solve the following linear equations: p - 8 =3p
Answer:
P=4
it's a right answer
Answer:
p = -4
Step-by-step explanation:
p - 8 = 3p
-2p - 8 = 0
-2p = 8
p = -4
An equilateral triangle has a height of 6 centimeters. What is the exact length of one of the sides of the triangle?
4 cm
O 23 cm
O 2 cm
O 473 cm
Answer:
The length of each side of the equilateral triangle is 6.93 cm.
Step-by-step explanation:
Check the image uploaded for diagram;
The length of each side of the equilateral triangle is y;
Apply Pythagoras theorem to determine y;
[tex]y^2 = 6^2 \ + \ (\frac{y}{2} )^2\\\\y^2 = 36 \ + \ \frac{y^2}{4} \\\\multiply\ through \ by \ 4;\\\\4y^2 =144 \ + \ y^2\\\\4y^2 - y^2 = 144\\\\3y^2 = 144\\\\y^2 = \frac{144}{3} \\\\y^2 = 48\\\\y = \sqrt{48} \\\\y = 6.93\ cm[/tex]
Therefore, the length of each side of the equilateral triangle is 6.93 cm.
A equilateral triangle is the triangle in which all the three sides are of equal length in measure.
The side of the equilateral triangle is 4 centimetres. Hence the option A is the correct option.
What is equilateral triangle?A equilateral triangle is the triangle in which all the three sides are of equal length in measure.
The relation between the height and the side of the equilateral triangle can be given as,
[tex]a=\dfrac{2h}{\sqrt{3} }[/tex]
Given information-
An equilateral triangle has a height of 6 centimetres.
The side of the equilateral triangle which has a height of 6 centimetres can be calculate using the above formula. Thus,
[tex]a=\dfrac{2\times6}{\sqrt{3} }\\a=\dfrac{12}{3} \\a=4[/tex]
Thus the side of the equilateral triangle is 4 centimetres. Hence the option A is the correct option.
Learn more about the equilateral triangle here;
https://brainly.com/question/1099318
8.009 is greater or 8.09 is greater
Answer:
8.09
Step-by-step explanation:
Answer:
8.09
Step-by-step explanation:
8.09
The table shows a linear relationship between x and y. What is the rate of change of y with respect to x.
A. -9/2
B. 2/9
C. -2/9
D. 9/2
Answer:
A. -⁹/2
Step-by-step explanation:
Using any two pairs of values form the table, say (-12, 60) and (-6, 33),
Rate of change = ∆y/∆x
= (33 - 60) / (-6 -(-12))
= -27/6
= -9/2
Rate of change = -⁹/2
The rate of change of y with respect to x is -9/2
Option A is correct
For a linear relationship, the rate of change of y with respect to x is given by the formula:
[tex]\frac{\triangle y}{\triangle x} =\frac{y_2-y_1}{x_2-x_1} \\[/tex]
From the table:
[tex]x_1=-20, x_2=-12, y_1=96, y_2=60[/tex]
Substitute [tex]x_1=-20, x_2=-12, y_1=96, y_2=60[/tex] into the equation [tex]\frac{\triangle y}{\triangle x} =\frac{y_2-y_1}{x_2-x_1} \\[/tex]
[tex]\frac{\triangle y}{\triangle x} =\frac{60-96}{-12-(-20)} \\\\\frac{\triangle y}{\triangle x} =\frac{-36}{8}[/tex]
Reduce the expression to the lowest term by dividing the numerator and denominator by 4
[tex]\frac{\triangle y}{\triangle x} =\frac{-9}{2}[/tex]
The rate of change of y with respect to x is -9/2
Learn more on rate of change here: https://brainly.com/question/8728504
