Answer:
There are 3,628,800 different ways for the runners to finish.
Step-by-step explanation:
Arrangments of x elements:
The number of possible arrangments of x elements is given by the following formula:
[tex]A_{x} = x![/tex]
In this question:
10 different runners, which means that the number of different ways that there are for the runners to finish is an arrangment of 10 elements. So
[tex]A_{10} = 10! = 3628800[/tex]
There are 3,628,800 different ways for the runners to finish.
what the sqare units of a 3 bye 7
There is 21 square units by 3 and 7. 3 as the column and 7 as a row. You can solve it by multiplying 3 with 7 which gives you 21 or adding 7+7+7 or 3+3+3+3+3+3+3 and all three gives you 21 as the answer. So the square unit of 3 and 7 is 21.
The bus fare in a city is $2.00 . People who use the bus have the option of purchasing a monthly coupon book for $28.00. With the coupon book, the fare is reduced to $1.00. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book
Is 5/11 equivalent to -5
Answer:
false, no
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
What value of x makes this equation true? x/4 = 44
Answer:
176
Step-by-step explanation:
y= x - 5
y= -3x + 3
graph please ASAP FOR EXAMS
Answer:
(2,-3)
Step-by-step explanation:
The intersection point of y=x-5 and y=-3x+3 is (2,-3) on a graph.
Ned took a test with 20 questions. He lost 3 points for each of the 5 questions he got wrong and earned an additional 12 points for answering a bonus question correctly. How many points did Ned receive or lose overall?
Answer:
He lost 15 points and recieved 12 points back now he missing 3 points
what is 48 as a product of its prime factors... SHOW ALL WORKING
Answer: 48 as a product of its prime factors is 48 or 2*2*2*2*3
Step-by-step explanation:
First find the prime factors of 48
48
∧
2 24
∧
2 12
∧
3 4
∧
2 2
The prime factors are 2 * 2 * 2 * 2 * 3 or [tex]2^{4} * 3[/tex]
The diagram below represents a generic right triangle.
Which statement BEST explains why the sine of an acute angle is equal to the cosine of the angle's complement?
A
Both sin A and cos B are equal to
B
Both sin A and cos B are equal to
ОО O
С
For sin A to equal cos B. a and c must be equal.
D
For sin A to equal cos B a and b must be equal
1 /2 (6k+10)+5k Simplify. Then, justify
Answer:
8k + 5
Step-by-step explanation:
First, you need to distribute the 1/2 to everything in the parentheses.
1/2 x 6k = 3k
1/2 x 10 = 5
The new expression is now:
3k + 5 + 5k
Add like terms.
3k + 5k = 8k
The expression becomes:
8k + 5
1.
Which expression is equivalent to "the second power of (8 - 3)"?
O A 53
B. 83
c. 52
D. 2(8 - 3)
Answer:
[tex](8 - 3)^2 = 5^2[/tex]
Step-by-step explanation:
Given
[tex](8 - 3)[/tex]
Required
Determine the second power
The second power of an expression is the square of the expression.
So, the second power of [tex](8 - 3)[/tex] is
[tex](8 - 3)^2[/tex]
Solving further:
[tex](8 - 3)^2 = 5^2[/tex]
Hence:
Option (c) is correct
The third set in a tennis match went for
71.28
minutes, which was
8%
longer than the second set. The second set was
10%
longer than the first set.
Answer:
First set = 60 minutes
Second set = 66 minutes
Step-by-step explanation:
Given that:
Length of third set = 71.28 minutes ;
Third set was 8% longer than second set ;
Length of second set = x
Third set = (100% + 8%) = 108% of second set
71.28 = 1.08 * x
71.28 = 1.08x
x = 71.28 / 1.08
x = 66
Hence, second set = 66 minutes
Second set was 10% longer than the first
(100 + 10)% of first set = second set
110% of first set = second set
Let first set = y
1.1 * y = 66
1.1y = 66
y = 66 / 1.1
y = 60
Hence, first set = 60 minutes
First set = 60 minutes
Second set = 66 minutes
TVs are described by the length of their diagonals. The diagonal of a TV is
always a WHOLE NUMBER. If Sarah's mom has a cabinet with an opening that
measures 20 inches by 15 inches in her kitchen, what is the largest TV she can fit
in the opening?
Answer:
32
Step-by-step explanation:
plzzzz help asaaaap look at the filllle plzzzzz
Answer:
29) x=8
30) x=18
Step-by-step explanation:
The picture tells you that ∠AOB and ∠COD are equal. So,
29: m∠AOB = m∠COD
Substitute.
4x - 2 = 2x + 14
Solve.
2x = 16
x = 8°
30. again, m∠AOB = m∠COD = 28
m∠AOD = m∠AOB + m∠BOC + m∠COD
Substitute.
6x = 28 + 3x -2
Simplify.
6x = 3x + 54
Solve.
3x = 54
x = 18
A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 100 nails and each large box has 350 nails. The contractor bought a total of 9 boxes that have 2400 nails altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.
Answer:
3 small boxes and 6 large ones
Step-by-step explanation:
3 times 100 equals 300 and 6 times 350 is 2100 and 2100 plus 300 is 2400.
12% of all college students volunteer their time. Is the percentage of college students who are volunteers different for students receiving financial aid? Of the 331 randomly selected students who receive financial aid, 43 of them volunteered their time. What can be concluded at the
α
= 0.01 level of significance?
For this study, we should use
Select an answer
The null and alternative hypotheses would be:
H
0
:
?
Select an answer
(please enter a decimal)
H
1
:
?
Select an answer
(Please enter a decimal)
The test statistic
?
=
(please show your answer to 3 decimal places.)
The p-value =
(Please show your answer to 4 decimal places.)
The p-value is
?
α
Based on this, we should
Select an answer
the null hypothesis.
Thus, the final conclusion is that ...
The data suggest the populaton proportion is significantly different from 12% at
α
= 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is different from 12%.
The data suggest the population proportion is not significantly different from 12% at
α
= 0.01, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is different from 12%.
The data suggest the population proportion is not significantly different from 12% at
α
= 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 12%.
Answer:
Null Hypothesis:-H₀: P = 0.12
There is no difference between the percentage of volunteers selected from the college students.
Alternative Hypothesis:-H₁: P ≠ 0.12
There is a difference between the percentage of volunteers selected from the college students.
The calculated value Z = 0.5543 < 2.376 at 0.01 level of significance
The null hypothesis is accepted
There is a difference between the percentage of volunteers selected from the college students.
Step-by-step explanation:
Step(i):-
Given that the Population proportion P= 12% = 0.12
Given that the 331 randomly selected students who receive financial aid, 43 of them volunteered their time.
Sample proportion
[tex]p = \frac{x}{n} = \frac{43}{331} = 0.1299[/tex]
Step(ii):-
Null Hypothesis:-H₀: P = 0.12
There is a difference between the percentage of volunteers selected from the college students.
Alternative Hypothesis:-H₁: P ≠ 0.12
There is no difference between the percentage of volunteers selected from the college students.
Step(iii):-
Test statistic
[tex]Z = \frac{p-P }{\sqrt{\frac{PQ}{n } } }[/tex]
[tex]Z = \frac{0.1299-0.12 }{\sqrt{\frac{(0.12)(0.88)}{331 } } }[/tex]
Z = 0.5543
Level of significance = 0.01
Critical value Z₀.₀₁ = 2.376
Final answer:-
The calculated value Z = 0.5543 < 2.376 at 0.01 level of significance
The null hypothesis is accepted
There is a difference between the percentage of volunteers selected from the college students.
If figure 1 needs 3 toothpicks, figure 2 needs 6 toothpicks and figure 3 needs 9 toothpicks then how many toothpicks will be needed in figure 4?
Answer:
Figure 4 will need 12 toothpicks.
Calculate the time it would take to infuse 1550ml of medication being infused at 100ml/h
Answer:
15.5hr
Step-by-step explanation:
Speed = Distance/Time
Given
Distance = 1550ml
Speed = 100ml/hr
Required
Time
From the formula;
Time = Distance/Speed
Time = 1550/100
Time = 15.5hr
Hence it will take 15.5hr
I WILL GIVE BRAINLIEST Solve: 2(2x + 9) = 5x + 72
Step 1: 4x + 18 = 5x + 72
Step 2: 9x + 18 = 72
Step 3: 9x = 54
Step 4: x = 6
Which is the first incorrect step in the solution shown above?
Step 1
Step 2
Step 3
Step 4
Answer:
The first incorrect step would be the second, I think.
Step-by-step explanation:
You need to distribute:
2(2x+9) = 5x + 72
4x + 18 = 72
Then subtract 18 from both sides of the equation. Step 2 dosnt do this.
Next you simplify and get: 4x = 5x + 54
Subtract 5 from both sides of equation
Finally simplify and you get: -x = 54
Answer:
Solve: 2(2x + 9) = 5x + 72
Incorrect :---Step 1: 4x + 18 = 5x + 72
Step 2: 9x + 18 = 72
Step 3: 9x = 54
Step 4: x = 6
Correct :---Step 1: 4x + 18 = 5x + 72
Step 2: x + 72 = 18
Step 3: x = 18-72
Step 4: x = -54
Which is the first incorrect step in the solution shown above?
Step 1Step 2✓Step 3Step 4→First incorrect step in the solution shown above is Step 2.
A plane traveled 1232 miles each way to New York City and back. The trip there was with the wind. It took 11 hours.
The trip back was into the wind. The trip back took 22 hours. Find the speed of the plane in still air and the speed of the wind.
1) Define the three trigonometric ratios (sine, cosine, and tangent) using opposite side, adjacent side, and hypotenuse)
Answers:
sin(angle) = opposite/hypotenusecos(angle) = adjacent/hypotenusetan(angle) = opposite/adjacentThese three ratios are often expected to be memorized or written on a flashcard, or reference sheet. I recommend memorizing them as they will come up quite often in trigonometry.
One way to remember is to use phrase "SOH CAH TOA" which could sound like "soak a toe-a" when you pronounce it out.
SOH = sine opposite hypotenuse
CAH = cosine adjacent hypotenuse
TOA = tangent opposite adjacent
Dan is serving his child french fries and chicken wings for lunch today. Let f be the number of french fries in the lunch, and let c be the number of chicken wings. Each french fry has 25 calories, and each chicken wing has 100 calories. Dan wants the total calorie count from the french fries and chicken wings to be less than 500 calories. Using the values and variables given, write an inequality describing this.
Answer:
25f + 100c < 500
Step-by-step explanation:
I hope it helps.
Find the value of x in the trapezoid below
Answer:
I think its 108. Hope this helps!
Step-by-step explanation:
A certain comet near the sun moved through space at a rate of 701, 208 kilometers per hour. What is this number in word form?
Seven hundred one thousand, two hundred eight
Seven hundred ten thousand, twenty-eight
Seven hundred one thousand, twenty-eight
Seven hundred ten thousand, two hundred eight
701,208 is in word form is Seven hundred one thousand, two hundred eight
What is Number system?A number system is defined as a system of writing to express numbers.
Given that A certain comet near the sun moved through space at a rate of 701, 208 kilometers per hour
We need to write the number in sentence form
In the given number 8 is at units place
0 at tens place
2 is at hundred place
1 is at thousand place
0 is at ten thousand place
7 is at hundred thousand place
701, 208 is Seven hundred one thousand, two hundred eight
Hence, 701,208 is in word form is Seven hundred one thousand, two hundred eight
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
What is 2 plus 2 giving brainliest
Answer:
four
Step-by-step explanation:
2 plus 2 = 4 jdhdvsjsisbebsfajwjebdnx xbdus
Step-by-step explanation:
the answer to 2 plus 2
is four
2+2=4
Each day martin lifts weights for 10 minutes and runs on the treadmill
Answer:
I can see ur question but I'm not getting it is there any answers I can chose from to work it out
Factor the common factor out of each expression.
13) 50k + 20
14) 405-25
15) 5a + 10
16) 16k + 12
Answer:
Step-by-step explanation:
10(5k+2)
14) confused sorry
5(a+2)
4(k+3)
Brandon buys a radio for $45.29 in a state where the sales tax is 7%.What is the total Brandon pays for the radio?
Answer:
Net Amount (excluding tax)$45.29
Tax (7.0%)$3.17
Gross Amount (including tax)$48.46
Step-by-step explanation:
Please don't hate me if i'm wrong.
Answer:
48.46
Step-by-step explanation:
To find the sales tax of this you would have to multiply
$45.29*1.07=48.46
which would get you your answer
Example
You can plug it in with other things like sales tax of 9% for any number like 67.98 so you can just do
$67.98*1.09=74.10
Lily and William are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Lily is 313 miles away from the stadium and
William is 334 miles away from the stadium. Lily is driving along the highway at a
speed of 44 miles per hour and William is driving at speed of 51 miles per hour. Let L
represent Lily's distance, in miles, away from the stadium t hours after noon. Let W
represent William's distance, in miles, away from the stadium t hours after noon.
Write an equation for each situation, in terms oft, and determine the interval of
hours, t, for which Lily is closer to the stadium than William.
Answer:
L= -44t +313 W=-51t+334
Lily is closer to the stadium than William when t < 3 hours
Step-by-step explanation:
Two dice are rolled. Find the probability of getting a. A sum of 5, 6, or 7 b. Doubles or a sum of 6 or 8 c. A sum greater than 8 or less than 3 d. Based on the answers to parts a, b, and c, which is least likely to occur
Answer:
The answer is below
Step-by-step explanation:
The possible outcome from rolling two dice is:
1,1 1,2 1,3 1,4 1,5 1,6
2,1 2,2 2,3 2,4 2,5 2,6
3,1 3,2 3,3 3,4 3,5 3,6
4,1 4,2 4,3 4,4 4,5 4,6
5,1 5,2 5,3 5,4 5,5 5,6
6,1 6,2 6,3 6,4 6,5 6,6
The total number of outcomes = 36
a)
P(sum of 5) = 4/36, P(sum of 6) = 5/36, P(sum of 7) = 6/36
Hence:
P(sum of 5 or sum of 6, or sum of 7) = P(sum of 5) + P(sum of 6) + P(sum of 7) = 4/36 + 5/36 + 6/36
P(sum of 5, 6, or 7) = 15 / 36
b)
P(doubles) = 6/36, P(sum of 6) = 5/36, P(sum of 8) = 5/36
Hence:
P(doubles or sum of 6 or sum of 8) = P(doubles) + P(sum of 6) + P(sum of 8) = 6/36 + 5/36 + 5/36
P(doubles or sum of 6 or sum of 8) = 16 / 36
c)
P(sum greater than 8) = 10/36, P(sum lesser than 3) = 1/36
P(sum greater than 8 or less than 3) = P(sum greater than 8) + P(sum lesser than 3) = 10/36 + 1/36
P(sum greater than 8 or less than 3) = 11 / 36
Part c has the least probability of occurrence, hence c is least likely to occur.
Dan buys a car for £2100.
It depreciates at a rate of 2.2% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.
Answer:£472.92
Step-by-step explanation:
£2100(0.78)^6
