15.3
21. A squirrel is standing on the branch of a tree. The angle of elevation from a point on the ground to the squirrel
is 48°. The ground distance from the point to the tree is 28ft. How high above the ground is the squirrel?
Round your answer to the nearest foot.
48⁰
28 ft
21
Answer:
The height of the squirrel is 31 feet.
Step-by-step explanation:
You need to know your Right Triangle Trigonometry to do this problem.
Rt Triangle trig is all about ratios. Angles and ratios.
In your question, there is a rt triangle. The side measure given, 28 is next to the angle. The math word for "next to" is "adjacent" You know the adjacent side. The squirrel's height is the opposite side. The ratio that puts together adjacent and opposite is tangent.
tan Angle = opposite/adjacent
tan 48° = x/28
multiply both sides by 28
28•tan48° = x
You have to use a calculator that has trig functions. It will have buttons that say "sin", "cos", and "tan"
Enter 28 × tan48° =
It will return 31.0971504152
Your question asks you to round to the nearest whole.
x = 31
The squirrel's height in the tree is 31ft.
The table shows the probability distribution of siblings of students in a high
school with 1500 students. What is the expected value for the number of
siblings of a randomly chosen student?
Number of siblings
0
1
2
3
4
5
Probability
0.18
0.65
0.09
0.05
0.02
0.01
A. 1.08
B. 2.5
C. 1.11
D. 1.29
Answer:
Step-by-step explanation:
1.11
The expected value for the number of siblings of a randomly chosen student is 1.11.
The correct answer is C. 1.11.
To calculate the expected value for the number of siblings of a randomly chosen student, we need to multiply each possible number of siblings by its corresponding probability and sum up the results.
Expected Value = (0 x 0.18) + (1 x 0.65) + (2 x 0.09) + (3 x 0.05) + (4 x 0.02) + (5 x 0.01)
Expected Value = 0 + 0.65 + 0.18 + 0.15 + 0.08 + 0.05
Expected Value = 1.11
Therefore, the expected value for the number of siblings of a randomly chosen student is 1.11.
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Deb recorded the number of cups of water she drank for 7 days.The median number of cups of water she drank was 6.The range of the number of cups of water she drank was 4. Which statement can be made from the given information?
Answer:
lol, that is true she should stop drinking too much water.
But all jokes aside, the answer is A. At least one day she drank exactly 6 cups of water.
What is the answer to 54<45+3
Answer:
54<48
Step-by-step explanation:
If you add 45+3, you get 45.
Hope this helped.
After reviewing the results of a math test, the teacher tells the class that those students who completed their review worksheets scored an average of 10 points higher
on the test than those students who did not complete their review worksheets. Which of the following BEST describes how the teacher likely came to this conclusion?
A. The teacher conducted an observational study by comparing the performance on the test of those who completed their review worksheets to those who did not
complete their review worksheets.
B. The teacher conducted a sample survey by asking students if they completed their review worksheets and if they think they did well on the test.
C. The teacher performed a controlled experiment in which one group of students decided not to complete their review worksheets and the other group decided to
complete their review worksheets.
OD. The teacher performed a random experiment in which the test scores of one group of students would be higher and the test scores of the other group would be lower.
Answer:
A. The teacher conducted an observational study by comparing the performance on the test of those who completed their review worksheets to those who did not complete their review worksheets.
The statement that best describes the method how the teacher likely came to the specified conclusion is: Option A. The teacher conducted an observational study by comparing the performance on the test of those who completed their review worksheets to those who did not complete their review worksheets.
When do we perform observational study, sample survey, controlled experiment, or random experiment?Observational study is usually chosen when the researches the system is likely to produce different result if interfered. Sample survey is done if the population is too big to analyze or destructible as the analysis occurs.Controlled experiment is done manually, specifically to deduce conclusions. Its steps are fixed.Random experiment is done specifically to deduce conclusions, but it is done in a random manner.In the case of testing about test scores, teacher can't use random or controlled experiment as the teacher would more likely work with real data of test scores instead of students faking it.
The sample survey is not needed as getting test scores doesn't destroy them, nor the population of students is too high(assuming math class has small number of students (usually under some hundreds) ).
Observational study is best choice here, and this is done on all students by observing how much students achieved in scored in test and relate it with them completing the review worksheets or not.
Thus, the statement that best describes the method how the teacher likely came to the specified conclusion is: Option A. The teacher conducted an observational study by comparing the performance on the test of those who completed their review worksheets to those who did not complete their review worksheets.
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The length of one diagonal of a rhombus is 2 times the length of the other diagonal. Write an expression that represents the
perimeter of the rhombus, where d represents the shorter diagonal.
Answer:
Step-by-step explanation:
In a rhombus, all sides are equal in length. Let's denote the length of each side by s. We can use the Pythagorean theorem to relate the diagonals and the sides of the rhombus. If d is the length of the shorter diagonal, then the length of the longer diagonal is 2d. The Pythagorean theorem gives us:
(s/2)^2 + d^2 = s^2
and
(s/2)^2 + (2d)^2 = s^2
Simplifying and solving for s, we get:
s = √(4d^2 - d^2) = √3d
The perimeter of the rhombus is the sum of the four sides, so we have:
perimeter = 4s = 4√3d
Therefore, the expression that represents the perimeter of the rhombus in terms of the length of the shorter diagonal (d) is 4√3d.
Answer:
The perimeter of a rhombus is given by 4 times the length of one of its sides.
Use the Pythagorean theorem to relate the two diagonals of the rhombus:
The length of the longer diagonal (D) is related to the length of the shorter diagonal (d) as follows:
D^2 = d^2 + d^2 = 2d^2
We also know that the length of the longer diagonal is twice the length of the shorter diagonal:
D = 2d
Substituting the second equation into the first, we get:
(2d)^2 = 2d^2
4d^2 = 2d^2
2d^2 = 4d^2/2
d^2 = 2d^2/4
d^2 = d^2/2
Multiplying both sides by 2:
2d^2 = d^2
d^2 = 2d^2
Taking the square root of both sides:
d = sqrt(2)d
So the length of the shorter diagonal is d and the length of the longer diagonal is 2d.
The perimeter of the rhombus is:
P = 4s
where s is the length of one of the sides of the rhombus. We can express s in terms of d using the Pythagorean theorem:
s^2 = (d/2)^2 + d^2
s^2 = d^2/4 + d^2
s^2 = 5d^2/4
s = sqrt(5)d/2
Substituting this expression for s into the formula for the perimeter, we get:
P = 4s = 4(sqrt(5)d/2) = 2sqrt(5)d
Find the area of the hall
Answer:
We need a more zoomed out pic
Step-by-step explanation:
what is 7 - 4 = 5x - 13
Answer:
x=16/5
Step-by-step explanation:
7-4=5x-13
3=5x-13
+13. +13
16=5x
16/5 = x
Felix has $100 in the bank and writes a check for $150. He now has
dollars.
Alina leaves her house with $40 in her wallet. She comes home with $40 in her wallet. This indicates a
change.
Lucas has no money. He does some chores and earns $5. He has
If Felix were to have $100 and writes a check for $150 wouldn't that mean that he has insufficient funds? He has $100 if he writes a check to someone he would not have any money left. He would have -$50.
Alina has $40 when she leaves and she comes back with $40, the question states that there is a change but there is none. She left and came back with the same exact amount of money. Nothing changed.
If Lucas has no money, does some chores, and earns $5, then he would have $5. You didn't complete the question so I will not answer any further.
Bonds Payable has a balance of $810,000, and Premium on Bonds Payable has a balance of $8,910. If the issuing corporation redeems the bonds at 102, what is the amount of gain or loss on redemption?
a. $8,910 gain
b. $8,910 loss
c. $7,290 loss
d. $7,290 gain
To determine the gain or loss on the redemption of the bonds, you need to compare the redemption price to the carrying value of the bonds. The carrying value of the bonds is the amount that the bonds are recorded as being worth on the issuing corporation's balance sheet. This is calculated by adding the Bonds Payable balance and the Premium on Bonds Payable balance.
In this case, the carrying value of the bonds is $810,000 + $8,910 = $818,910. If the bonds are redeemed at a price of $102, the gain or loss on the redemption can be calculated as follows:
Gain or loss on redemption = Redemption price - Carrying value of bonds
= $102 - $818,910
= -$817,810
Since the gain or loss on the redemption is a negative number, this indicates that the redemption price was lower than the carrying value of the bonds, resulting in a loss. The correct answer is therefore: c. $7,290 loss.
find the x and y intercept
x-2y=6 step by step
Answer: x-intercepts = (6,0) y-intercepts = (0,-3)
Step-by-step explanation: The answer shown is accurate. Hope it helps.
PLEASE HELPPPP!
what is the perimeter of the triangle?
what is the area or the triangle?
Answer:
Step-by-step explanation:
Answer:
Area = 7
Perimeter = 21 m
Step-by-step explanation:
Remark
The perimeter is just the sum of the three sides of the triangle.
The Area is the base * height /2
Givens
Perimeter: Three sides: 5 + 7 + 9
height: 2 meters
Formula
Area = 1/2 Base * Height
Area = 1/2 7 * 2
Note:
Just so you know the height should be almost 5. 2 is an impossible amount for the height.
Area = 1/2 * 7 * 2
Area = 7 m^2
Perimeter = 5 + 7 + 9
Perimeter = 21
Write the equation of the line with a slope of 6 and pass-through (-2,-4)
Answer:
y=6x+8
Step-by-step explanation:
y=mx+b
-4=6(-2)+b
-4=-12+b
8=b
Which methods correctly solve for the variable x in the equation 7-x=18
Answer:
x = -11
Step-by-step explanation:
7 - x = 18
+ x on both sides to cancel the negative one
7 = 18 + x
- 18 on both sides to get rid of the 18
solve:
7 - 18 = x
-11 = x
Answer:
collecting like terms
Step-by-step explanation:
step 1. Shift 7 to the right side
-x = 18 - 7
-x = 11
step 2. divide by -1 both sides
-x/-1 = 11/-1
x = -11
Given that cos x = 3/5 and 0
Answer:
What do we have to do in this? Find x? Let me know I'll explain it in the comment section
Find the approximate side length of a square game board with an area of 146 in sq?
(Round to the nearest inch as needed.)
Answer:
Below
Step-by-step explanation:
Let A be the total area
● A = a^2
a is the side of the square board game
● 146 = a^2
● a = √146
● a = 12 after rounding to the nearest inch
Time Remaining
01:59:22
At a grocery store, blueberries come packaged in 8-ounce containers for $2.80. At a farmer's market, blueberries cost $4.20 for 14 ounces. There are 16 ounces in one pound. Which statement accurately compares the cost of blueberries?
Blueberries are $0.23 per pound more expensive at the farmer’s market.
Blueberries are $0.50 per pound less expensive at the farmer’s market.
Blueberries are $0.80 per pound less expensive at the farmer’s market.
Blueberries are $1.40 per pound more expensive at the farmer’s market.
Answer:
b
Step-by-step explanation:
grocery
2.80÷8=0.35
0.35×16=5.6
farmers
4.20÷14=0.3
0.3×16=4.8
5.6-4.8=0.8
Which of the following are terms in this expression? Select all that apply.
2+8c+d+b
HELPPPPPP I HAVE 20 MINUTES LEFT
Answer:
2, 8, c, b, dStep-by-step explanation:
Terms are any numbers or variables that represent numbers. In other words, 2, 8, c, d, and b are all the terms of this expression.
Brita has a monthly budget of x dollars. She spends $1,425 on her mortgage every month. One-third of her remaining budget is spent on recreational activities. Which equation below can be used to determine the amount, in dollars, spent on recreational activities?
Answer:
y = ⅓(x - 1425)
Step-by-step explanation:
Given
Budget = x
Mortgage = 1425
Required
Determine the amount spent on recreational activities.
First, we need to get the balance after she pays her mortgage.
Balance = Budget - Mortgage
Balance = x - 1425
From the question, we understand that she spends ⅓ of the balance on recreational activities.
Represent this with y.
y is calculated as thus:
y = ⅓ of Balance
y = ⅓ * (x - 1425)
y = ⅓(x - 1425)
Hence, the above equation y = ⅓(x - 1425) can be used to calculate the amount spent on recreational activities
No correlation means that as the x-values increase, the y-values O a have no effect Ob increase Ос decrease
we know that
If there is no correlation between x and y, that just means that there's no relationship, connection, or interdependence between the two variables
No correlation means that as the x-values increase, the y-values have no effect
the answer is the option A
A shipment of 10 computers contains 2 with defects. Find the probability that a sample of size 2, drawn from the 10, will not contain a defective computer.
Answer:
\(\frac{28}{45} .\)
Step-by-step explanation:
way_1:
according to the condition the probability for the 1st computer is 8/10=4/5;
for the 2d computer is 7/9. Then the final probability is P=4/5 * 7/9=28/45;
way_2:
the required probability can be calculated according the formula:
\(P=\frac{no-cases}{total-cases};\)
then
\(P=\frac{C^2_8}{C^2_{10}} =\frac{2!8!8!}{2!6!10!}=\frac{28}{45} .\)
has a normal distribution with mean 7.5 and standard deviation 2.5. for which of the following is the probability equal to 0 ?
Using the normal probability distribution, it is found that P(X = 8) is equal to zero.
In a normal distribution with mean and standard deviation, the z-score of a measure X is given by:
\(Z = \frac{X-mean }{S.D.}\)
It 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, which is the percentile of X.As in any continuous distribution, the probability of an exact value, that is, P(X = x), is 0.Hence, from the last bullet point, it is found that P(X = 8) is equal to zero.
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a geologist has collected 14 specimens of basaltic rock and 14 specimens of granite. the geologist instructs a laboratory assistant to randomly select 23 of the specimens for analysis. (a) what is the pmf of the number of granite specimens selected for analysis? (round your probabilities to four decimal places.) x 9 correct: your answer is correct. 10 correct: your answer is correct. 11 correct: your answer is correct. 12 correct: your answer is correct. 13 correct: your answer is correct. 14 correct: your answer is correct. p(x) 0.0974 incorrect: your answer is incorrect. 0.1384 incorrect: your answer is incorrect. 0.1612 incorrect: your answer is incorrect. 0.1612 incorrect: your answer is incorrect. 0.1384 incorrect: your answer is incorrect. 0.0974 incorrect: your answer is incorrect. (b) what is the probability that all specimens of one of the two types of rock are selected for analysis? (round your answer to four decimal places.) 0.0974 incorrect: your answer is incorrect. (c) what is the probability that the number of granite specimens selected for analysis is within 1 standard deviation of its mean value? (round your answer to four decimal places.)
The standard deviation is 1.0319
x values between 10.4681 and 12.5319 are respectively ( 11 , 12 )
The probability that the number of granite specimens selected for analysis is within 1 standard deviation of its mean value is 0.6740
How to solve thisWe are given that: a geologist has collected 14 specimens of basaltic rock and 14 specimens of granite.
Thus total rocks = N = 14 +14 = 28
The geologist instructs a laboratory assistant to randomly select 23 of the specimens for analysis.
Thus sample size = n = 23
Part a) What is the pmf of the number of granite specimens selected for analysis?
x = the number of granite specimens selected
Thus M = Number of granite specimens = 14
Thus x can have the following values:
x n-x = 23-x
9 14
10 13
11 12
12 11
13 10
14 9
We can select a minimum 9 granite specimens, so that total becomes 9 granite specimens + 14 basaltic rock = 23
and maximum 14 granite specimens, so that total becomes 14 granite specimens + 9 basaltic rock = 23
Here x = the number of granite specimens selected follows Hypergeometric distribution with parameters N = 28 ,M=14 , n = 23 .
P(X=9) =0.02037
Similarly, we find all next probabilities:
x P(x)
9 0.0204
10 0.1426
11 0.3370
12 0.3370
13 0.1426
14 0.0204
Part b) What is the probability that all specimens of one of the two types of rock are selected for analysis?
the probability that all specimens of one of the two types of rock are selected
That is:
P( All 14 are granite specimens and rest 9 are basaltic rock OR All 14 are basaltic rock and rest 9 are granite specimens)=......?
That is:
P( 14 granite specimens , 9 basaltic rock OR 14 basaltic rock , 9 granite specimens) =......?
From above table in part a) , we have:
P( 14 granite specimens) = 0.0204 , that means
P(14 granite specimens , 9 basaltic rock) = 0.0204
and
P( 9 granite specimens)=0.0204
That is:
P( 14 basaltic rock , 9 granite specimens) = 0.0204
Thus
P( 14 granite specimens , 9 basaltic rock OR 14 basaltic rock , 9 granite specimens) =0.0204 + 0.0204
P( 14 granite specimens , 9 basaltic rock OR 14 basaltic rock , 9 granite specimens) = 0.0408
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Match the terms to their definition.
1. expression
a branch of mathematics that uses variables
2. opposite numbers
a mathematical statement that shows two expressions are equal using an equal sign
3. equation
a line that graphically represents all numbers
4. arithmetic sequence
a value that is substituted in for the variable in a function in order to generate an output value
5. function
two numbers that are the same distance from zero on the number line, but in opposite directions
6. family of facts
a single term; multiple terms connected by an addition or subtraction sign
7. input
a number belonging to the set made up of the counting numbers: 1, 2, 3, and so on
8. coordinate plane
a set of numbers where the difference is the same between any two consecutive terms
9. integer
all possible combinations for a set of numbers (2 + 3 = 5, 3 + 2 = 5, 5 - 3 = 2, 5 - 2 = 3)
10. negative number
a relation in which for any given input value, there is only one output value
11. natural number
a number that is less than zero
12. number line
a two-dimensional system in which a location is described by its distance from two intersecting, perpendicular axes
13. algebra
a number belonging to the set made up of the whole numbers and their opposites
Answer:
sim eu também preciso desta respota
Which fraction is closest to 1/2
?
The fraction which is closest to 1/2 is, 3/8. So option B is correct
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
Given that,
A fraction number 1/2
In decimal form = 0.5
Closest fraction number = ?
Most closest number is that number from which we subtract the given number and the magnitude of result we get is very less,
Lets take, A fraction 1/6
In decimal form it can written as, 0.167
Difference 1 = 0.5 - 0.167
= 0.333
Similarly, For numbers 3/8, 3/4, -1/2
Difference 2 = 0.5 - 0.375 = 0.125
Difference 3 = 0.5 - 0.75 = -0.25
Difference 4 = 0.5 - (-0.5) = 1.0
It can be seen that,
Magnitude of difference in case of 3/8 is very less
Hence, the closest number is 3/8
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22/7 - 4/7
A)2
B)2 4/7
C)2 5/7
D)3
Answer:
None of the option is correct.
The right answer is 18/7 or 2.57
Step-by-step explanation:
4Flaming Hoop Jump of Awesome Daredevil Danny attempts the feat of jumping his motorcycle through the Flaming Hoop Jump of Awesome. In order for Daredevil Danny to pass through the hoop, he will need a safe path to travel. Let’s explore the parabolic trajectory that he will need for a safe journey. Directions Complete each of the following tasks, reading the directions carefully as you go. Be sure to show all work where indicated, including inserting images of graphs. Be sure that all graphs or screenshots include appropriate information such as titles, labeled axes, etc. If your word processing program has an equation editor, you can insert your equations here. Otherwise, print this activity sheet and write your answers by hand. In addition to the answers you determine, you will be graded based on the work you show, or your solution process. So, be sure to show all your work and answer each question as you complete the task. Type all your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and the completeness and accuracy of your explanations. Your teacher will give you further directions about how to submit your work. You may be asked to upload the document, e-mail it to your teacher, or print it and hand in a hard copy. Now, let’s get started! Step 1: Analyze the graph. Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the parabolic trajectory of his practice jump. a) What are the key aspects of any parabola? What do the key aspects tell you about the graph? (5 points) b) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points) Step 2: Solve for coefficient a. a) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points) b) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points) c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points) Step 3: Change from vertex form to standard form. To get Daredevil Danny through the Flaming Hoop Jump of Awesome, you will need to know the values of a, b, and c, which are the coefficients of the quadratic equation in standard form. a) What is the equation for a parabola in standard form? (5 points) b) Describe how to convert from vertex form to standard form. (10 points c) Convert the vertex form of the equation you wrote above to standard form. (10 points) d) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump? (5 points) Step 4: Calculate the equation for the flaming hoop jump. Using the same method for the practice jump, write the standard form of the equation that will get Daredevil Danny safely through the Flaming Hoop Jump of Awesome! a) Write the vertex form by substituting in values for x, y, h, and k, and then solve for a. Show your work. (10 points) b) Determine the values of a, b, and c. Show your work. (10 points) c) Using your values of a, b, and c, did Daredevil Danny successfully pass through the Flaming Hoop Jump of Awesome? If not, describe what happened. Then, go back to critique your work and revise it. Write about your revision. (5 points) d) Once you have determined the correct values of a, b, and c, verify algebraically that Daredevil Danny will successfully pass through the Flaming Hoop Jump of Awesome. (5 points)
Answer:
Flaming Hoop Jump of Awesome
Roslyn Bertley
Q : A) What are the key aspects of any parabola? What do the key aspects tell you about the graph?
A : It goes up to its max point and comes down. The max point is 32 and how far it went was from 15 to 35
Q : A) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined.
A : Its a standard form graph , and Danny needs to figure out the speed he is ganna go and the its angle
Step 2: Solve for coefficient a.
Q : A) What equation is used to find the vertex form of a parabola with the vertex (h, k)?
A : F(x)=ax2+bx+c
Q : b) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail.
A : The picture lets us know that the equation of a vertical parabola in vertex form is given by wher A is the leading coefficient. (h,k) is the vertex. looking at the graph we have a vertical paraboola opening downward . The vertex is a maximum The vertex is the point (25.32) substitute in the equation
Q : c) What is the vertex form of the parabola from Daredevil Danny’s practice jump?
f(x)=-12/25(x-25)^2+32
Step 3: Change from vertex form to standard form.
Q : a) What is the equation for a parabola in standard form?
A : y = ax^2 + bx + ct
b) Convert the vertex form of the equation you wrote above to standard form.
f(x)= -0.48xˆ2+24x-268
c) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump?
Step-by-step explanation:
that’s all i got
The length of a rectangle is 5 cm more than its width. If the perimeter is 58cm, calculate:
(a) Write an equation to show the perimeter of the rectangle ?
(b) calculate:
I.width
II.length
III. the area of the rectangle
The equation to show the perimeter of the rectangle is P = 2(2w + 5)
Writing an equation to show the perimeter of the rectangleFrom the question, we have the following parameters that can be used in our computation:
Length = 5 more than the width
Also, we have
Perimeter = 58
This means that
P = 2(w + 5 + w)
P = 2(2w + 5)
Calculating the dimensions and the areaIn (a), we have
P = 2(2w + 5)
This gives
2(2w + 5) = 58
So, we have
2w + 5 = 29
2w = 24
w = 12
Next, we have
l = 12 + 5
l = 17
Lastly, we have
Area = 17 * 12
Area = 204
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How many 4 digits codes can be formed with odd numbers without repetition? 0 is not allowed.
9514 1404 393
Answer:
120
Step-by-step explanation:
The number of permutations of 5 things taken 4 at a time is 120.
__
There are 5 odd digits. You want to choose 4 of them, then arrange those 4 in all possible ways. There are 5·4·3·2 = 120 ways to do that.
120 4-digit codes can be formed using odd digits with no repetition.
I’ll give brainliest! Please help
Answer:
65
Step-by-step explanation:
The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65