In how many different ways can a ski club consisting of 15 people selected a team for national championship? There are 4 spots available on the team going to national championship.
Answer:
Step-by-step explanation:
Combination has to selection. When selecting 4 people out of a pool of 15 people, this can be done as thus according to combination formuka:
15C4 = 15!/(15-4)!4!
15C4 = 15!/11!4!
15C4 = 15*14*13*12*11!/11!*4*3*2
15C4 = 15*14*13*12/24
15C4 = 32760/24
15C4 = 1365 different ways.
Hence this can be done in 1365 different ways
25x 10 ^ 6 in standard form
25x10⁶ = 2.5x10⁷=25000000
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-34/51 in standard form
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The time it takes to completely clean an office building follows an exponential distribution with a mean of 135 minutes. What is the probability of cleaning an office building in 135 minutes or less?
Answer:
0.63212
Step-by-step explanation:
Given that :
Mean cleaning time (μ) = 135
Probability of cleaning the office is 135 minutes or less
Using an exponential distribution probability calculator :
P(X ≤ 135) = 0.63212
Find the exponential function that satisfies the given conditions: initial value = 70, decreasing at a rate of 0.43% per week
Answer choices:
A) f(t) = 70 x 0.9957^t
B) f(t) = 70 x 1.43^t
C) f(t) = 0.43 x 0.3^t
D) f(t) = 70 x 1.0043^t
Answer:
a- just took the test
Step-by-step explanation:
1,032 divided by 10 to the 4th power
Answer:
0.1032
Step-by-step explanation:
Answer:
25000
Step-by-step explanation:
10x10=100
100x10=1000
1000x10=10000
10000x10=100000
100000 divied by 4= 25000
. It takes 11 widgets to assemble one motor. Your team can assemble four motors in one day. If you need to order parts for next week (5 working days), how many widgets should you order?
Number of widgets needed to make one motor = 11
Number of motors made each day = 4
Number of widgets used per day :-
= 4 × 11
= 44 widgets
Number of widgets I need to order for the next five days of the upcoming week :-
= 44 × 5
= 220 widgets
Therefore , my team should order 220 widgets for the next week ( 5 working days ) .
Answer:
Your answer should be 220 widgets
Step-by-step explanation:
Becasue if you have 11 in one motor and you build four a day then multiply 4 and 11 to get 44. Then you see that you get 44 widgets in a day you multiply 44 by the number of working days which is 5. So after multiplying you get 220 widgets per week.
Tell me if this is the correct answer
The Insurance Institute for Highway Safety publishes data on the total damage suffered by compact automobiles in a series of controlled, low-speed collisions. The cost for a sample of 9 cars, in hundreds of dollars, is provided below: 10,6,8,10,4,3.5,7.5,8,9 (a) What is the median cost of the total damage suffered for this sample of cars? (b) What is the first quartile for the above data? (c) What is the interquartile range of the above data? (d) What is the mean of the total damage suffered for this sample of cars? (e) Using the correct units, what is the value of the variance?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the cost data: 10,6,8,10,4,3.5,7.5,8,9
A.) Median cost :
Sorted data:
3.5, 4, 6, 7.5, 8, 8, 9, 10, 10
0.5(n + 1)th term ; n = number of samples
0.5(9 + 1)th term
= 0.5(10)th term = 5th term
Median = 5th term = 8
B.) First quartile (Q1) :
0.25(n + 1)th term ; n = number of samples
0.25(9 + 1)th term
= 0.25(10)th term = 2.5th term
Q1 = (2nd term + 3rd term) / 2 = (4+6)/2 = 10/2 = 5
Q1 = 5
C.) interquartile range = (Q3 - Q1)
Q3 = 0.75(n + 1)th term ; n = number of samples
0.75(9 + 1)th term
= 0.75(10)th term = 7.5th term
Q3 = (7th term + 8th term) / 2 = (9+10)/2 = 19/2 = 9.5
Q3 = 9.5
Q3 - Q1 = (9.5 - 5) = 4.5
D.) Mean (μ) :
μ = ΣX / n
n = sample size
μ =(10+ 6 + 8 + 10+ 4 + 3.5 + 7.5 + 8 + 9) / 9
μ = 66 / 9
μ = 7.33
3.) Population variance (s²)
Σ(x - μ)² / n - 1
=[(10 - 7.33)^2 + (6 - 7.33)^2 + (8 - 7.33)^2 + (10 - 7.33)^2 + (4 - 7.33)^2 + (3.5 - 7.33)^2 + (7.5 - 7.33)^2 + (8 - 7.33)^2 + (9 - 7.33)^2] / 9
= 45.5001 / 8
= 5.687
What is the simplified form of this expression (6^-4)-9 over 6^6
Answer:hope this helps
Step-by-step explanation:
During game play, Juan threw 2 darts onto the board. Determine the likelihood of the scores Juan could get with his two throws. 4 or greater: 14: 16:
Answer: likely, impossible, unlikely
Step-by-step explanation:
i got it right
Answer:
Step-by-step explanation:
4 or greater:
likely
14:
impossible
16:
unlikely
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)
It goes all the way up to its max point and comes down. Its max point is 32 and how far it went was from 15 to 35
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)
It is a standard form graph and he needs to figure out the speed he is going to go and the angle
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)
F(x)=ax2+bx+c
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)
The picture of the question in the attached figure we know that The equation of a vertical parabola in vertex form is given by where a is the leading coefficient (h,k) is the vertex Looking at the graph we have a vertical parabola open downward (coefficient a is negative)The vertex is a maximum The vertex is the point (25.32) substitute in the equation
c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)
f(x)=-12/25(x-25)^2+32
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)
y = ax^2 + bx + ct
b) Convert the vertex form of the equation you wrote above to standard form. (10 points)
c) 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)
Please help I only need help with steps 2 and 3!
Answer:
Step 2:
Part A
f(x) = a(x-h)^2 +k
Part B
I'm not really sure about this part
Part C
f(x)=-12/25(x-25)^2+32
Step 3:
Part A
y = ax^2 + bx + c
Part B
f(x) = -12/25(x - 25)^2 + 32
Part C
a = -12/25
b = 0
c = 32
Step-by-step explanation:
Hope This Helps!
Sorry For Taking So Long!
Answer:
For Step 3 Part B, the equation is
Step-by-step explanation:
f(x)= -0.48xˆ2+24x-268
The reciprocal of - 4 3/4 is
Answer:
-4/19
Step-by-step explanation:
1. The first step to finding the reciprocal of -4 3/4 is to convert it into an improper fraction. To do that, multiply the -4 by the denominator, 4, and add the answer to the numerator, 3. The answer should come out to -19/4.
2. Now we have to find the reciprocal of -19/4 by flipping the denominator with the numerator, which is -4/19.
Sandra sets the cruise control in her car to 67 miles per hour when she goes on road trips. Which equation can be used to find how many hours, h, it will take her to drive m miles at her constant speed?
Answer:
A. [tex]\frac{m}{65} = h[/tex]
I hope this helps!
Match the pronoun type to the example.
1. personal
many
2. reflexive
those
3. relative
her
4. possessive
whom
5. interrogative
himself
6. demonstrative
what
7. indefinite
we
HELP 100 POINTS
Answer:
1. Personal = We
2. Reflexive = Himself
3. Relative = Whom
4. Possessive = Her
5. Interrogative = What
6. Demonstrative = Those
7. Indefinite = Many
Hope this helps.
Answer:
1. Personal = I,We,they
2. Reflexive = Himself,herself, themselves, ourselves
3. Relative :Whom,who
4. Possessive = Her,him,
5. Interrogative = What,why,how,which,
6. Demonstrative :Those,these,that
7. Indefinite = Many,someone,
find the value of x. PLEASE HELP!!!!
The answer is 8 - but I need to show my work.
Thanks so much
Answer:
Step-by-step explanation:
Because of the right angle (90 deg) in red, and the horizontal line on the bottom axis,
we know that :
49 + (1+5x) = 90
solving for x delivers x=8
i will KISS U ON THE MOUTH IF U HURRY PLS HELP find the derivative dy/dx for y=(x^2+4x) / (x^3-5)
Use the quotient rule:
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^3-5)\frac{\mathrm d(x^2+4x)}{\mathrm dx}-(x^2+4x)\frac{\mathrm d(x^3-5)}{\mathrm dx}}{(x^3-5)^2}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(2x+4)(x^3-5)-3x^2(x^2-4x)}{(x^3-5)^2}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{x^4 - 16 x^3 + 10 x + 20}{(x^3-5)^2}[/tex]
Please help!
Simplify the expression using order of operations:25 - 5 + 36/9 - 6(7)
Answer:
-18
Step-by-step explanation:
Follow these steps to get your answer!
Divide 36/9 and multiply -6(7)
25 - 5 + 4 - 42
Subtract 25-5
20 + 4 -42
Add 4 to 20.
24-42
Subtract 42 from 24.
-18
Answer:
-18
Step-by-step explanation:
start with the figure in brackets. 6(7)=42
then do division. 36/9=4
our expression now is 25-5+4-42
addition first 25+4=29
finish with subtraction. 29-5-42=-18
answer=-18
what is the branch of mathematics that uses variables and operations?
Answer:
Algebra
Step-by-step explanation:
Answer:
algebra, you can check on google as well
Write an equation of the line that passes through (2, 7) and (0, −5).
Answer:y=6x-5
Step-by-step explanation:
Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.
PART A:The number of hours that makes the equation true is
Options: 24, 27, 29,31,34
PART B:Round your answer to the nearest whole number. The manager's prediction is
Options: equal to, less than, greater than
the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.
Answer:
[tex]x = 24[/tex]
24 is less than 35
Step-by-step explanation:
Given
Jacob: 2000x + 3000
Carlos: 3800x - 40000
Solving (a):
To solve (a), we need to equate both expressions;
[tex]3800x - 40000 = 2000x + 3000[/tex]
Collect Like Terms
[tex]3800x - 2000x = 40000 + 3000[/tex]
[tex]1800x = 43000[/tex]
Solve for x
[tex]x = 43000/1800[/tex]
[tex]x = 24[/tex] --- Approximated
Solving (b);
The manager's prediction is 35 hours.
And the actual hours is 24.
By comparison;
24 is less than 35
Salty's Surf Shop loses $35,000 during cold, rainy summers and profits $175,000 during summers that
are hot and dry. The probability that it will be hot and dry during summers is 30%. What is the expected
profit Salty would realize over 10 years?
Answer:
$280,000
Step-by-step explanation:
Given that:
Loss during cold = $35000
P(hot and dry) = 30% = 0.3
Hence ; P(cold) = 1 - 0.3 = 0.7
Profit during hot and dry= $175,000
Expected profit over 10 years =?
________Hot & Dry __________ Cold __
X : _______ 175,000 ________ -35,000
P(X) : _______ 0.3 ____________ 0.7
Expected probability (E(X)) = Σx*p(x)
= 0.3(175,000) + 0.7(-35,000)
= 52,500 + (-24,500)
= $28,000
Hence, expected profit over 10 years :
$28,000 * 10 = $280,000
4(1-x)+2x=-3(x+1) solve for X
Answer:
x=-7
Step-by-step explanation:
4(1-x)+2x=-3(x+1)
4-4x+2x=-3x-3
4-2x=-3x-3
-2x=-3x-7
x=-7
Patricia and Emma work together. They both have the same amount of money invested in their portfolios. Their investments are listed in the table. Two months ago, the company Patricia and Emma work for started incurring losses, and now its share price has started falling. Which statement is correct given the scenario?
Patricia’s Investmentscompany stocks, bonds, mutual funds, domestic stocks, and international stocksEmma’s Investmentscompany stocks
A.
Patricia’s portfolio will be affected the most because she has too many assets in her portfolio.
B.
Emma’s portfolio will be affected the most because it is limited to company stock.
C.
Neither portfolio will be significantly affected because both have a good mix of assets.
D.
Both portfolios will be equally affected because both have an equal amount of company stock.
Answer:
I believe it would be B, hoped I helped :)
Step-by-step explanation:
The statement that is correct given the scenario is: B. Emma’s portfolio will be affected the most because it is limited to company stock.
PortfolioSince both of them have the equal money invested in their portfolios in which the company the both work for started incurring losses this tend to means that Emma portfolio will be affected the most by the loss that was incurred.
The reason why Emma portfolio will be most affected is because his portfolio is limited to the company stock compare to that of Patricia’s
Therefore the correct option is B.
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There are 20 circles and 12 triangles. What is the simplest ratio of triangles to total shapes
Answer:
3:8
Step-by-step explanation:
You can divide both numbers by 4, that gets you to your simplest ratio. :)
The ratio of the triangles to the total shape will be equal to 3: 8.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
For instance, if there is 1 boy and 3 girls, you may express the ratio as 1: 3 (there are 3 girls for every boy), meaning that there are 1 in 4 boys and 3 in 4 girls.
Given that there are 20 circles and 12 triangles. The ratio will be calculated as,
Ratio = triangles / total shape
Ratio = 12 / ( 20+ 12 )
Ratio = 12 / 32
Ratio = 3 / 8
Therefore, the ratio of the triangles to the total shape will be equal to 3: 8.
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PLZ HELP BASIC c ALGEBRA BRAINLIEST TO QUICKEST ANSWER
Biologists have found that the number of chips some crickets make per minute are related to temperature. When crickets chirp 124 times a minute it is about 68 degrees Fahrenheit. When they chirp 172 times a minute, it is about 80 degrees Fahrenheit.
Write an equation in Slope Intercept, Standard, or Point Slope form that represents the situation.
Melissa averages a rate of 1.5 steps per second while walking. How many steps will she take in an hour if this rate continues?
Answer:
5400
Step-by-step explanation:
1.5×60=90 steps per min
90×60=5400 steps per hour
estimate for 6 x 9 1/3
Answer:
Exact Form:
54/13
Decimal Form:
4.153846
Mixed Number Form:
4 2/13
Step-by-step explanation:
Hector has 11 model trains. On each model train there are 8 wheels. In total, how many wheels are on Hector’s model trains?
Answer:
I think the answer is 88 wheels.
Step-by-step explanation:
You multiple 11 and 8 to get your answer or you can take 8+8+8+8+8+8+8+8+8+8+8 to get your answer.
What is the domain for...
y=0.25x-12
Answer:
Domain: (-infinity,infinity)
Step-by-step explanation:
You're welcome. :)
(I couldn't write the infinity symbol so I wrote infinity.)
find the rate of change ffor Y=4/5x-7/5
Answer:
4/5
Step-by-step explanation:
thats the slope so im assuming
Convert to decimal form: 1.118×10−6.
