Answer:
The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.
Step-by-step explanation:
We can use basic binomial distribution, which is given by the formula:
[tex]\displaystyle P(x) = {n \choose x}p^xq^{n-x}[/tex]
Where n represent the number of trials, x represent the number of successes desired, p represent the chance of success, and q represent the chance of failure.
Since we are flipping a coin 10 times, we are conducting 10 trials. So, n = 10.
We want to probability that it lands on heads exactly 7 out of 10 times. So, the number of desired successes x is 7.
The probability of success p is 1/2.
And the probability of failure q is also 1/2.
Substituting:
[tex]\displaystyle P(7)={10 \choose 7}\left(\frac{1}{2}\right)^7\left(\frac{1}{2}\right)^3=120\left(\frac{1}{2}\right)^{10}=\frac{120}{1024}=\frac{15}{128}\approx0.1172[/tex]
The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.
You buy a used car for $9,000. The car depreciates 9% per year. Find the value of the
car after 10 years.
Answer:
$19,000.Step-by-step explanation:
#hopeithelpsbrainliest me.Use a property of equality to solve the equation
- 2a/5 = 13/15
Answer:
a = -13/6
Step-by-step explanation:
Multiply both sides by the same number (15). This clears out the fractions:
-2a 13
15 -------- = 15 ----------
5 15
Then we have -2a(3) = 13, or
-6a = 13, or
a = -13/6
Find the 10th term of the sequence if the explicit function/formula is f(n)=100+10n
Answer:
The 10th term of the sequence is 200.
Step-by-step explanation:
Given that,
The sequence is as follows :
f(n)=100+10n
We need to find 10th term of the sequence.
Put n = 10 in the given expression.
f(10)=100+10(10)
= 100 + 100
= 200
Hence, the 10th term of the sequence is 200.
Item 18
A florist has 1,276 flowers to divide into bunches of 9 flowers. The florist makes as many bunches as possible.
How many bunches of flowers does the florist make, and how many flowers are left over?
Enter your answers in the boxes.
The florist can make
bunches with
flowers left over.
Answer:
141 bunches, 7 flowers left
Step-by-step explanation:
Number of bunches of flowers that can the florist make is 23 flowers
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, we have,
If 60% of the flowers in a bunch are lilies,
then there are 40 x 0.6 = 24 lilies in each bunch.
That means there are 40 - 24 = 16 roses and carnations in each bunch.
The ratio of carnations to roses = 3 : 5
Let's call the number of carnations in each bunch "3x" and the number of roses in each bunch "5x". That means
3x + 5x = 16 (the total number of carnations and roses)
8x = 16
x = 2
So there are 3 x 2 = 6 carnations in each bunch.
If the florist has only 140 carnations, they can make 140 / 6 = 23.333... bunches of flowers. However, since they can't make a fraction of a bunch, the florist can only make 23 bunches of flowers.
Learn more about ratio here
brainly.com/question/1267581
#SPJ3
complete question:
A florist is making some bunches of flowers for a wedding. Each bunch contains some carnations, roses, and lilies. Each bunch is the same. - A bunch contains 40 flowers -60% of the flowers are lilies The ratio of carnations to roses is 3:5 The florist only has 140 carnations. How many bunches of flowers can the florist make?
what is the slope of the line plotted below?
Answer: The slope is 0.5
Step-by-step explanation:
As we can see in the image from the first dot to the second dot it goes up 3 units and right 6 units giving us the slope [tex]\frac{3}{6}[/tex]
Converted to a decimal that's 0.5
(1.00)^365
What type of math problem is this and how to explain it, please?
Step-by-step explanation:
(1.00)³⁶⁵
=1
1 power any natural number is 1
Answer:
1
Step-by-step explanation:
(1.00)^365
it means to multiply (1 .00) 365 times
Determine whether the sampling method described below appears to be sound or is flawed. In a survey of 511 human resource​ professionals, each was asked about the importance of the age of a job applicant. The survey subjects were randomly selected by pollsters from a reputable market research firm.
a) it is flawed because it is a census.
b) it is flawed because it is not statistically significant.
c) it appears to be sound because the data are not biased in anyway.
d) it is flawed because it is a voluntary response sample.
Answer:
c) it appears to be sound because the data are not biased in anyway.
Step-by-step explanation:
From the information given regarding the sample selection method , the size, the larger sample from which the survey subject were selected, we can conclude that the data is sound and not in anyway biased. The subject were selected from a reputable market research firm, which means the subjects were chosen from a larger sample which is reliable and not just a voluntary pool of subjects. Also, the selection process is randomized. Based on these, there are no flaws which are likely to cause the introduction of bias into the sample selected. Hence, the data is sound and not in any way biased.
HELP ASAP!!!
is the graph a function shown in the graph below one-to-one? why?
9514 1404 393
Answer:
(d) one output for every input
Step-by-step explanation:
A function is 1-to-1 if its graph passes the horizontal line test: a horizontal line may intersect the graph in only one place.
In ABC, c=66,m∠A=3230', and m∠C=11140'. Find the length of side a to the nearest tenth.
The volume of a rectangular prism can be found with the formula V = lwh
Find the height of a rectangular prism when
V = 24 ft*, 1 = 4 ft, and w = 2 ft.
The height of the prism is 12 feet.
I need help I’ll give u brainlest
Answer:
4. 18 cm^2
5. 24 cm^2
6. 12 cm^2
SA: 108 cm^2
Step-by-step explanation:
Answer:
Surface area is 108
1. 18
4. 18
2. 12
6. 12
3. 24
5. 24
Step-by-step explanation:
1. 3 x 6 = 18
4. 3 x 6 = 18
2. 4 x 3 = 12
6. 4 x 3 = 12
3. 4 x 6 = 24
5. 4 x 6 = 24
A school cafeteria wants to survey a random sample of 50 students about the quality of food. During one lunch period, every 5th student who walks through the cafeteria door is surveyed until 50 students are selected. Which of the following statements is true about this sample?
Answer:
B
Step-by-step explanation:
Answer:
B EDGE
Step-by-step explanation:
2. Determine the numbers x between 0 and 2pi where the tangent line to the curve is horizontal.
Need help ASAP
Assuming the curve is
y = cos(x) - √3 sin(x)
differentiate once to get dy/dx, which gives the slope of the tangent line to y at some point x. The derivative is
dy/dx = -sin(x) - √3 cos(x)
The tangent line is horizontal when the derivative is 0, so you end up having to solve
-sin(x) - √3 cos(x) = 0
sin(x) = -√3 cos(x)
sin(x)/cos(x) = tan(x) = -√3
x = arctan(-√3) + nπ
(where n is an integer)
x = -arctan(√3) + nπ
x = -π/3 + nπ
You get two solutions in the interval [0, 2π] when n = 1 and n = 2, for which
x = 2π/3 or x = 5π/3
A box contains 15 green marbles and 16 white marbles. If the first marble chosen was a white marble, what is the probability of choosing, without replacement, another white marble
===================================================
Explanation:
16/31 represents the probability of picking a white marble
This is because there are 16 white out of 15+16 = 31 total.
---------
After we make a first selection, we have 16-1 = 15 white marbles left out of 31-1 = 30 marbles overall. The probability of selecting another white marble is 15/30 = 1/2.
Multiply those two fractions:
(16/31)*(1/2) = (16*1)/(31*2) = (2*8)/(31*2) = 8/31
which represents the probability of selecting two white marbles in a row, such that we don't put the first one back (and there's no replacement).
Match the system of linear equations, to its graph.
Answer:
The answer is the second graph, Option 2
Nathaniel has $2 worth of dimes and quarters. He has 6 more dimes than quarters. By following the steps below, determine the number of dimes,x, and the number of quarters,y, that Nathaniel has.
Determine three ways to have 6 more dimes than quarters:
Answer:
10 dimes and 4 quartersStep-by-step explanation:
Number of dimes = d, each d = 10 cNumber of quarters = q, each q = 25 cTotal = $2 = 200 cEquations according the given:
10d + 25q = 200d = q + 6Solve for q by substitution:
10(q + 6) + 25q = 20010q + 60 + 25q = 20035q = 140q = 140/35q = 4Find the value of d:
d = 4 + 6 = 10Nathaniel has 10 dimes and 4 quarters
Solve problem A and B please!!
Answer:
a. Isosceles + Acute
b. Scalene + Right
Step-by-step explanation:
a. The side markers show that 2 sides are equivalent in length, making it isosceles. The angles are all noticeably under 90 degrees, resulting in it being acute.
b. There are no side markers whatsoever, making it scalene. There is a right angle marker, resulting in the triangle being right.
Does this graph represent a function? Why or why not?
The sum of one-fifth of a number and two is five
Answer:
15
Step-by-step explanation:
Let us first write an equation where the unknown number is represented with variable x. The sum of a fifth of x and two is five:
[tex]\frac{1}{5} x+2=5[/tex]
Great! Let's solve for x by isolating the variable.
[tex]\frac{1}{5}x=3\\x=15[/tex]
Therefore, the unknown number is 15.
I hope this helps! Let me know if you have any questions :)
g(x)=x²+5
.
Find g(a+1)-g(a-1)
Answer:
g(a + 1) - g(a - 1) = 4a
Step-by-step explanation:
g(x) = x^2 + 5,
when x = a+1, g(a+1) = (a+1)^2 + 5.
when x = a-1, g(a-1) = (a-1)^2 +5.
g(a+1)-g(a-1) = (a+1)^2 + 5 - [(a-1)^2 + 5]
= a^2 + 2a + 1 + 5 - [a^2 - 2a + 1 + 5]
= 4a
2. Which is correct when using the Box Method ?
No work needed
(A) Factor (Divide)
(C)Solve (equals)
(B) Evalúate (Substitute)
(D) Distribute (Product)
I need help :(
Answer:
D
Step-by-step explanation:
distribute (product)
How to write 507,021 in expanded form
Answer:
500,000 + 7,000 + 20 + 1
Step-by-step explanation:
Answer:
The expanded form of 507,021 is 500,000 + 7,000 + 20 + 1.
Step-by-step explanation:
500,000 + 7,000 + 20 + 1
Explanation:
When writing numbers in expanded form, you are essentially breaking the number apart so that the value of every individual digit is shown.
Here are some examples of a number and its expanded form:
· 874,923 = 800,000 + 70,000 + 4,000 + 900 + 20 + 3
· 3,905 = 3,000 + 9,000 + 5
· 42,069 = 40,000 + 2,000 + 60 + 9
* note:
if the number you are going to write in expanded form includes a zero (ex: the number 42,069), you do not need to include the zero when writing each digits value. However, if you or your instructor prefers to include the value of zero, you may. To solve this problem, I will not be including the value of zero.
we understand what expanded form is, let's write 507,021 in expanded form.
Start by writing a list for the values of each individual digit:
· 500,000
· 7,000
· 20
· 1
Next, write the numbers so that they show they must be added.
500,000 + 7,000 + 20 + 1
3
5
4 What kind of number is shown?
OA) improper fraction
OB) mixed number
OC) whole fraction
OD) combined number
Answer:
B) mix number
Answer as a fraction. Multiply 5 1/6 and -2/5
Answer: 6666666667
-2.06666666667 to a fraction is : 2 ----------------------
100000000000
Step-by-step explanation:
Have a nice day :)
The solution of this equation has an error. Which of the following steps has the error?
18 − (3x + 5) = 8
Step 1: 18 − 3x + 5 = 8
Step 2: -3x + 23 = 8
Step 3: -3x = -15
Step 4: x = 5
Answer:
Step 1
Step-by-step explanation:
18 − (3x + 5) = 8
Step 1: 18 − 3x + 5 = 8
Correct Step 1: 18 - 3x - 5 = 8
Step 2: -3x + 23 = 8
Step 3: -3x = -15
Step 4: x = 5
The distributive property was applied incorrectly on Step 1.
Answer: Step 1
Select the correct answer.
Which kind of graph is shown here?
O A
demand graph
O B. product graph by
OC supply graph
Answer:
A
Step-by-step explanation:
A supply graph would depict the quantity increasing with price, as people would want to sell more as they could sell something for higher. The demand graph shows quantity decreasing with price, as people generally want more of something as its price decreases
If a randomly selected customer was satisfied with his/her meal, what is the probability that the customer ordered fish
Answer:
87.5%
Step-by-step explanation:
Complete question -
75% of the people who eat at Doug's Diner order fish and 90% of the people who order fish also order fries. Given that 80% of all people who eat at Doug's order fries, what is the probability that a randomly chosen customer orders fries without fish?
Solution
Given
People who order fish at the Doug's Diner = 75%
Out of this 75%, 90% also order fries which means that nearly 67.5% ordered fries with the fish.
Given that, 80% of people dining at Doug's Diner order fries
Then percentage or people who ordered only fires and no fish = 80% - 67.5% = 12.5%
The probability of customers who ordered fish = 100 - 12.5% = 87.5%
Select the correct answer.
What is the factored form of this expression?
x² - 12x+36
A. (x-12)(x-3)
в. (х- 6)^2
C (x-6)(x+6)
D. (x+6)^2
PLEASE HELP WILL MARK BRAINLIEST KF YOU HELP ME !!!
Answer:
It's an angle bisector as it cuts the angle into 2 equal pieces
Answer:
it is Angular bisector as it cuts an angle into 2 equal parts
10. Which is the correct classification of the value 7pi?
Answer:
2π/5
Step-by-step explanation: