Answer:
B. 0.41
Step-by-step explanation:
Binomial experiment:
In a binomial experiment, the probability of the success on each trial is always the same.
The probability of success on trial 4 is 0.41.
This means that the probability of success on trial 8, and all the other 10 trials, is of 0.41, and thus the correct answer is given by option B.
WILL MARK BRAINLIEST PLEASE HELP
Answer:
Step-by-step explanation:
Which of the following expressions is not equivalent to the others?
Answer:
Im going to guess the second one
Step-by-step explanation:
It's the only one that does not have more than one negative fraction.
Which of the following is a polynomial
A. 1-5x^2/x
b. 11x
c. 2x^2- square root x
d. 3x^2+6x
Answer:
B and D are polynomial
Step-by-step explanation:
An algebraic expression with non-zero coefficients and variables having non-negative integers as exponents is called a polynomial.
A)
If it is [tex]1 -\frac{5x^{2}}{x }=1-5x[/tex] , then it is a polynomial.
But if it is [tex]\frac{1-5x^{2}}{x}[/tex] then it is not a polynomial
Question 1 of 10
One advantage of a long-term loan compared to a short-term loan is that a
long-term loan:
A. does not require the borrower to have a good credit score.
O
B. can be paid off in full without the borrower paying any interest.
C. does not force the borrower to make payments every month.
D. allows a person to borrow more money at a lower interest rate.
Answer:
D. allows a person to borrow more money at a lower interest rate
Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month, and 80 minutes in the fourth month.
Victoria read a book for 35 minutes every weekend in the first month, 50 minutes in the second month, 65 minutes in the third month, and 80 minutes in the fourth month.
Which statement best describes the methods used by Zach and Victoria to increase the time they spent reading a book? (1 point)
Select one:
a. Zach's method is linear because the number of minutes increased by an equal factor every month.
b. Victoria's method is linear because the number of minutes increased by an equal number every month.
c. Both Victoria's and Zach's methods are exponential because the number of minutes increased by an equal factor every month.
d. Both Victoria's and Zach's methods are exponential because the number of minutes increased by an equal number every month.
9514 1404 393
Answer:
b. Victoria's method is linear because the number of minutes increased by an equal number every month
Step-by-step explanation:
Zach's reading doubled each month, a characteristic of an exponential function.
Victoria's reading increased by 15 minutes each month, characteristic of a linear function.
The only reasonable description among those offered is the one shown above: choice B.
The probability that a tennis set will go to a tiebreaker is 13%. In 120 randomly selected tennis sets, what is the mean and the standard deviation of the number of tiebreakers
Answer:
[tex]\mu = 15.6[/tex]
[tex]\sigma =3.684[/tex]
Step-by-step explanation:
Given
[tex]p =13\%[/tex]
[tex]n = 120[/tex]
Solving (a): The mean
This is calculated as:
[tex]\mu = np[/tex]
So, we have:
[tex]\mu = 13\% * 120[/tex]
[tex]\mu = 15.6[/tex]
Solving (b): The standard deviation
This is calculated as:
[tex]\sigma = \sqrt{\mu * (1 - p)[/tex]
So, we have:
[tex]\sigma = \sqrt{15.6 * (1 - 13\%)[/tex]
[tex]\sigma = \sqrt{15.6 * 0.87[/tex]
[tex]\sigma =\sqrt{ 13.572[/tex]
[tex]\sigma =3.684[/tex]
The time to complete an exam in a statistics class is a normal random variable with a mean of 50 minutes and a standard deviation of 10 minutes. What is the probability, given a class size of 30 students, the average time to complete the test is less than 48.5 minutes
Answer:
0.2061 = 20.61% probability, given a class size of 30 students, the average time to complete the test is less than 48.5 minutes
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes 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 skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 50 minutes and a standard deviation of 10 minutes.
This means that [tex]\mu = 50, \sigma = 10[/tex]
Class size of 30 students
This means that [tex]n = 30, s = \frac{10}{\sqrt{30}}[/tex]
What is the probability, given a class size of 30 students, the average time to complete the test is less than 48.5 minutes.
This is the p-value of Z when X = 48.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{48.5 - 50}{\frac{10}{\sqrt{30}}}[/tex]
[tex]Z = -0.82[/tex]
[tex]Z = -0.82[/tex] has a p-value of 0.2061
0.2061 = 20.61% probability, given a class size of 30 students, the average time to complete the test is less than 48.5 minutes
Speedy Oil provides a single-server automobile oil change and lubrication service. Customers provide an arrival rate of 2.5 cars per hour. The service rate is 5 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution. What is the average number of cars in the system
Answer:
the average number of car(s) in the system is 1
Step-by-step explanation:
Given the data in the question;
Arrival rate; λ = 2.5 cars per hour
Service time; μ = 5 cars per hour
Since Arrivals follows Poisson probability distribution and service times follows exponential probability distribution.
Lq = λ² / [ μ( μ - λ ) ]
we substitute
Lq = (2.5)² / [ 5( 5 - 2.5 ) ]
Lq = 6.25 / [ 5 × 2.5 ]
Lq = 6.25 / 12.5
Lq = 0.5
Now, to get the average number of cars in the system, we say;
L = Lq + ( λ / μ )
we substitute
L = 0.5 + ( 2.5 / 5 )
L = 0.5 + 0.5
L = 1
Therefore, the average number of car(s) in the system is 1
what are all the factos of 36
Hi there!
»»————- ★ ————-««
I believe your answer is:
{1, 2, 3, 4, 6, 9, 12, 18, 36}
»»————- ★ ————-««
Here’s why:
A factor is a whole number that is multiplied by another to have a product have another number.
⸻⸻⸻⸻
The Factors Are:
1 (1 * 36 = 36)2 (2 * 18 = 36)3 (3 * 12 = 36)4 (4 * 9 = 36)6 (6 * 6 = 36) 9 (9 * 4 = 36)12 (12 * 3 = 36)18 (18 * 2 = 36)36 (36 * 1 = 36)⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Evaluate the expression when c = 3 and x= -5,
-C+5x
Answer:
-28
Step-by-step explanation:
if c = 3 and x = -5 than,
-c + 5x = -3 + 5 * (-5) = -3 + (-25) = - 28
which ordered pairs are in the solution set of the system of linear inequalities?
y > -1/3x+2
-
y <2x+3
A. (2,2), (3,1) (4,2)
B. (2,2) (3,-1) (4,1)
C. (2,2) (1,-2) (0,2)
D. (2,2) (1,2) (2,0)
==========================================================
Explanation:
The graph of [tex]y \ge -\frac{1}{3}x+2[/tex] has the boundary y = (-1/3)x+2 which is a solid line. This line goes through (0,2) and (3,1). We shade above the boundary because of the "greater than" sign.
The graph of y < 2x+3 has a dashed boundary line of y = 2x+3, and we shade below the boundary because of the "less than" sign.
The two regions overlap in the upper right corner where it's shaded in the darkest color. The points (2,2), (3,1) and (4,2) are in this upper right corner region. If we plug the coordinates of each point into each inequality, then we'll get true statements.
For instance, let's try (x,y) = (2,2) into the first inequality
[tex]y \ge -\frac{1}{3}x+2\\\\2 \ge -\frac{1}{3}(2)+2\\\\2 \ge -\frac{2}{3}+2\\\\2 \ge -\frac{2}{3}+\frac{6}{3}\\\\2 \ge \frac{-2+6}{3}\\\\2 \ge \frac{4}{3}\\\\2 \ge 1.33\\\\[/tex]
Which is true since 2 is indeed larger than 1.33, so that confirms (2,2) is in the shaded region for [tex]y \ge -\frac{1}{3}x+2\\\\[/tex]
Let's check the other inequality as well
[tex]y < 2x+3\\\\2 < 2(2)+3\\\\2 < 4+3\\\\2 < 7\\\\[/tex]
That works too. So (2,2) is in BOTH shaded regions at the same time; hence, it's a solution to the system. You should find that (3,1) and (4,2) work for both inequalities also. This will confirm choice A is the answer.
--------------------------------
Extra info (optional section)
A point like (3,-1) does not work for the first inequality as shown below
[tex]y \ge -\frac{1}{3}x+2\\\\-1 \ge -\frac{1}{3}(3)+2\\\\-1 \ge -1+2\\\\-1 \ge 1\\\\[/tex]
Since -1 is neither equal to 1, nor is -1 larger than 1 either. The false statement at the end indicates (3,-1) is not a solution to that inequality.
Based on the graph, the point (3,-1) is not above the blue solid boundary line. All of this means we can rule out choice B.
You should find that (1,-2) is a similar story, so we can rule out choice C. Choice D can be ruled out because (2,0) is not a solution to the first inequality.
Find the direction cosines and direction angles of the vector. (Give the direction angles correct to the nearest degree.) c, c, c , where c > 0
Answer:
cos(∝) = 1/√3
cos(β) = 1/√3
cos(γ) = 1/√3
∝ = 55°
β = 55°
γ = 55°
Step-by-step explanation:
Given the data in the question;
vector is z = < c,c,c >
the direction cosines and direction angles of the vector = ?
Cosines are the angle made with the respect to the axes.
cos(∝) = z < 1,0,0 > / |z|
so
cos(∝) = < c,c,c > < 1,0,0 > / √[c² + c² + c²] = ( c + 0 + 0 ) / √[ 3c² ]
cos(∝) = c / √[ 3c² ] = c / c√3 = 1/√3
∝ = cos⁻¹( 1/√3 ) = 54.7356° ≈ 55°
cos(β) = < c,c,c > < 0,1,0 > / √[c² + c² + c²] = ( 0 + c + 0 ) / √[ 3c² ]
cos(β) = c / √[ 3c² ] = c / c√3 = 1/√3
β = cos⁻¹( 1/√3 ) = 54.7356° ≈ 55°
cos(γ) = < c,c,c > < 0,0,1 > / √[c² + c² + c²] = ( 0 + 0 + c ) / √[ 3c² ]
cos(γ) = c / √[ 3c² ] = c / c√3 = 1/√3
γ = cos⁻¹( 1/√3 ) = 54.7356° ≈ 55°
Therefore;
cos(∝) = 1/√3
cos(β) = 1/√3
cos(γ) = 1/√3
∝ = 55°
β = 55°
γ = 55°
During three consecutive years, an employers salary is increased by 15%. If after three years his salary is 45,400, what was his salary before the raises?
Answer:
$29,851.24
Step-by-step explanation:
The salary started as x.
Each year it was increased 15%.
A full amount is 100% of the amount. When you add 15% to the amount, you now have 115% of the amount.
115% as a decimal is 1.15; that means that to increase an amount by 15%, multiply the amount by 1.15
For example, let's say you want to know what is a 15% increase on 100. Start with 100. 15% of 100 is 15, so if you add 15% to 100 you expect to get 115.
Now multiply 1.15 by 100. You also get 115 showing you that multiplying a number by 1.15 is the same as adding 15%.
Now let's get back to our problem.
The salary started as x.
Each year, the increase in salary was 15% of the previous salary.
After 1 year the salary is 1.15x.
After 2 years, the salary is 1.15(1.15x).
After 3 years, the salary is 1.15(1.15(1.15x)) = (1.15^3)x
We are told that the salary became $45,400 after the three 15% increases, so
(1.15)^3 * x = 45,400
Multiply out 1.15^3 as 1/15 * 1.15 * 1.15 = 1.520875
1.520875x = 45,400
Divide both sides by 1.520875.
x = 45,400/1.520875
x = 29,851.24
Answer: $29,851.24
What is division story problem where the dividend is a three-digit number and the divisor is a single digit.
Answer:
dddddddddv
Step-by-step explanation:
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 2.5 minutes. (a) Find the probability that a customer has to wait more than 4 minutes. (Round your answer to three decimal places.)
Answer:
0.758
explaination
using poisson distribution
0.08208+0.2052+0.2565+0.2138
0 .758
A game-show spinner has these odds of stopping on particular dollar values: 55% for $5, 20% for $25, 15% for $50, and 10% for $500. What are the odds of a player winning $5 or $25
Answer: 75%
Step-by-step explanation:
Please help will mark brainliest!
Answer:
(d) ∠B≅∠D
Step-by-step explanation:
The last statement of any proof is a restatement of what is being proven. Here, that is ...
∠B≅∠D
How is solving for speed similar to solving for time?
O They both require that two numbers be added.
O They both require that two numbers be subtracted
O They both involve writing a rate.
O They both use the same units of measure.
Answer:
third one
Step-by-step explanation:
two trains leave the station at the same time, one traveling due east, the other due west. After 46 minutes, they are 140 miles apart. if one trains speed is 20 mph more than the other trains, what are the speeds of the two trains?
Answer:
Train A speed = x + 20
Train B = x
We know the 46 minutes is 23/30 of an hour.
Use D = rt
Take it from it, hope its helped, have a great day!
Someone pls answer all?
Answer: hello there here are your answers:
5) Associate property of addition
6) Multiplicative identify
7) additive identify
Step-by-step explanation:
5) that is correct because you are changing the numbers in the ()
6) because it the same numbers and variables just placed in a different way
7) its cleaves the system changed with any element added
hope this help have a good day
-3/8 divided by -1/4
Flip the -1/4, cross deduct and should get 3/2
Answer:
It might be 3/2 or 1 and 1/2.
help with this please !
Answer:
c
Step-by-step explanation:
A large container holds 4 gallons of chocolate milk that has to be poured into bottles. Each bottle holds 2 pints.
If the ratio of gallons to pints is 1: 8,
bottles are required to hold the 4 gallons of milk.
Answer:
64 Bottles
Step-by-step explanation:
that is the procedure above
Find the distance between the points ( 4, 7) and (-1,2
Answer:
7.07 (3 significant figures)
Step-by-step explanation:
the distance between the two points on the x axis is 5 and the distance between the two point son the y axis is 5. thus by using pythagerous theorem you are able to get the hypotenuse which is the distance between the two points which in this case is 7.07 when rounded to 3 significant figures. not sure if im correct but i hope it helps
what is 221st number out of 5,6,7,8,9
Answer:
221
Step-by-step explanation:
Given sequence is ,
> 5 , 6 , 7 , 8 , 9.
The common difference is 6-5 = 1 .
Therefore , the 221st number will be
> 221 st term = 221 × 1 = 221 .
Hence the 221 st term is 221 .
Answer:
225
Step-by-step explanation:
d = 6 - 5 = 1 (common differences)
a = 5 (first term)
221st term
a+(n-1)d
5 +(221 - 1) 1
5 + 220 =225
Therefore the answer is 225
Which division problem does the diagram below best illustrate?
A diagram with 8 ovals containing 4 squares each.
O 16 divided by 4 = 4
O 32 divided by 4 = 8
O 36 divided by 4 = 9
O 8 divided by 2 = 4
Answer:
The answer is 32 divided by 4
Step-by-step explanation:
Because in each box there is 4. There are 8 ovals all together. So 8×4, you get 32 and divide it by the number of squares in an oval which is 4
Answer:
the answer is 32 divided by 4=8
Step-by-step explanation:
because when you look at the ovals there's eight ovals and in side there's four squares..
HOPE THIS HELPS!!!!!
find the sum and difference between the place value and face value of 5 in the number 3508 6941
Answer:
Sum= 5000005
Difference= 4999995
Step-by-step explanation:
The place value of 5 in the number 35086941 is 5000000
The face value is 5
The sum between the face value and place value can be calculated as follows
°= 5000000+5
= 5000005
The difference can be calculated as follows
= 5000000-5
= 4999995
Solve the inequality. |X-15|>9
Answer:
X<6 or X>24
Step-by-step explanation:
Question 1 of 12, Step 1 of 1
0/17
Correct
Two planes, which are 2800 miles apart, fly toward each other. Their speeds differ by 50 mph. If they pass each other in 4 hours, what is the sspeed of each?
Keypad
Answer:
325 and 375 mph
Step-by-step explanation:
Given :
Distance between plane A and B = 2800
Recall :
Distance = speed * time
Let speed of A = v1
Speed of B = v2
v1 = v2 + 50
Time taken = 4 hours
Distance = speed * time
Total distance = 2800
2800 = v1 * 4 + v2 * 4
2800 = (4v1) + (4v2)
2800 = 4(v2+50) + 4v2
2800 = 4v2 + 200 + 4v2
2800 = 8v2 + 200
2800 - 200 = 8v2
2600 = 8v2
v2 = 2600/8
v2 = 325 mph
v1 = v2 + 50
v1 = 325 + 50
v1 = 375 mph
convert 1.5% to decimal and a fraction. Show and explain your method
Answer:
0.015 and 3/200.
Step-by-step explanation:
1.5% is equal to 0.015. Percents are always equal to their decimal counterparts; basically, the number over 100. Dividing 1.5 by 100 will yield us 0.015.
0.015 is going to be equal to 15/1000, or 3/200. Since we did 1.5/100, we need to multiply both sides of the fraction by 10 so there are no decimal points. Therefore, this is 15/1000. If we divide both sides of this fraction by 5, then we get 3/200, which is the most simplified form.
