Answer:
672
Step-by-step explanation:
The speed of the current in a creek is 2 mph. A person can kayak 9 mi upstream in the same time that it takes him to kayak 13 mi downstream. What is the speed of the
person's kayak in still water?
Let s be the speed of the person's kayak in still water.
Given, speed of current = 2 mph
Upstream distance = 9 miles
Speed of the person upstream = s-2
Time traveled upstream = 9/s-2
Downstream distance = 13 miles
Speed of the person downstream = s+2
Time traveled downstream = 13/s+2
Given,
9/s-2 = 13/s+2
Cross-multiplying,
9*(s+2) = 13*(s-2)
9s + 18 = 13s - 26
Grouping like terms together,
13s-9s = 26+18
4s = 44
s = 11 mph
Speed of person's kayak in still water = 11 mph
In a group of 20 boys and 14 girls, three people are chosen at random. What is the probability that 1 girl and 2 boys are selected
Answer: [tex]\dfrac{665}{1496}[/tex]
Step-by-step explanation:
Given : In a group , there are 20 boys and 14 girls.
Total people = 20+14=34
Number of ways to choose 3 people out of 34 = [tex]^{34}C_3[/tex]
Number of ways to choose 1 girl and 2 boys = [tex]^{14}C_1\times^{20}C_2[/tex]
The probability that 1 girl and 2 boys are selected = [tex]\dfrac{^{14}C_1\times ^{20}C_2}{^{34}C_3}[/tex]
[tex]\dfrac{14\times\dfrac{20!}{2!18!}}{\dfrac{34!}{3!31!}}\ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{14\times\dfrac{20\times19}{2}}{\dfrac{34\times33\times32\times31!}{3\times2\tims3!}}\\\\=\dfrac{665}{1496}[/tex]
Hence, required probability = [tex]\dfrac{665}{1496}[/tex]
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 1600 miles. What warranty should the company use if they want 94% of the tires to outlast the warranty?
Answer:
The warranty the company should use is of 57,520 mile.
Step-by-step explanation:
Let X denote the tread life of a particular brand of tire.
It is provided that, [tex]X\sim N(60,000, 1600^{2})[/tex].
Also provided that the company wants 94% of the tires to outlast the warranty.
Let x denote the warranty .
That is, P (X > x) = 0.94.
⇒ P (X < x) = 0.06
⇒ P (Z < z) = 0.06
The corresponding value of z is -1.55.
*Use a z-table.
Compute the value of x as follows:
[tex]z=\frac{X-\mu}{\sigma}\\\\-1.55=\frac{x-60000}{1600}\\\\x=60000-(1.55\times 1600)\\\\x=57520[/tex]
Thus, the warranty the company should use is of 57,520 mile.
Help me on this Algebra 2
Evaluate 3-8/2 +3x5
Answer:
Step-by-step explanation:
3-8/2+3×5
3-4+3×5
3-4+15
-1+15
14.
So answer is 14.
....................
Answer:
10.7%
Step-by-step explanation:
Hope this helps :)
Find the zeros of f(x)=x^3-5x^2-x+5 by factoring
Answer:
-1, 1, 5
Step-by-step explanation:
Factor by grouping:
Factor out x² from the first two terms:
f(x) = x³ - 5x² - x + 5
f(x) = x²(x - 5) - x + 5
Factor out -1 from the last two terms:
f(x) = x²(x - 5) -1(x - 5)
Then, put the two terms together:
f(x) = (x² - 1)(x - 5)
(x² - 1) is a difference of squares that can be factored further:
f(x) = (x + 1)(x - 1)(x - 5)
Set this equal to 0, and set each factor equal to zero. Then, solve for x:
x + 1 = 0
x = -1
x - 1 = 0
x = 1
x - 5 = 0
x = 5
So, the zeroes are -1, 1, and 5
Answer:
(x-1)(x-5)(x+1)
Step-by-step explanation:
HOPE YOU UNDERSTOOD! !
#7 Write an equation in slope-intercept form to represent the line perpendicular to 3x + 2y = -7 passing through the point (1, 1). O y=-3x + 4 O y = -3/2x + 1/3 y = 2/3x + 1/3 O y = 3x + 1
Answer:
y = 2/3 x + 1/3
Step-by-step explanation:
First find the slope of the given line by solving for "y":
3 x + 2 y = -7
2 y = - 3 x - 7
y = - 3/2 x - 7/2
which shows a slope of "- (3/2)"
Then, the slope of a line perpendicular to it must be "the opposite of the reciprocal" of this slope, that is: "2/3"
We use this info and the requested point (1, 1) to find the complete equation of the perpendicular line:
y = 2/3 x + b
1 = 2/3 (1) + b
1 - 2/3 = b
b = 1/3
Then the equation of the line is:
y = 2/3 x + 1/3
which agrees with the third answer shown in the list of options.
Is this linear regression equation a good fit for the data? Why or why not? A. r = - .7622 , so this is a good negative correlation fit for the data . B. r = - .9919 , so this is a very good negative correlation fit for the data C. r = .9919 , so this is a very good positive correlation fit for the data . D. r = .7622 so this is a good positive correlation fit for the data .
Answer: Is this linear regression equation a good fit for the data? Why or why not? A. r = - .7622 , so this is a good negative correlation fit for the data . B. r = - .9919 , so this is a very good negative correlation fit for the data C. r = .9919 , so this is a very good positive correlation fit for the data . D. r = .7622 so this is a good positive correlation fit for the data .
Step-by-step explanation:
On a field trip, there are 2 girls for every 3 boys.
If there are 20 kids total, how many girls are there?
Can someone help answer this
Answer:
968 - 744 = 224
Step-by-step explanation:
if Fatima's lettuce broccoli and peas all weigh 968 grams when weighed together and her lettuce and broccoli way 744 grams, as shown in the photo, when weighed together you would subtract the weight of the lettuce and broccoli from the weight of the peas, lettuce, and broccoli together.
you would then get 224 as your answer. your number sentence then should be:
968 - 744 = 224
Step-by-step explanation: 968-744=224 is the answer
Answer subtract 744 and 968 and you will get the answer
WILL MARK AS BRAINLIEST!!!!!
find the values of x and y pls help
Answer: x = 39°, y = 5
Step-by-step explanation:
∠ADB and ∠CDB are same which means it's 90 degrees
and the triangle is isosceles, so ∠A=∠X and ∠ABD=∠CBD
180= ∠A + ∠B + ∠D
180= 51 + 90 + ∠D
∠D = 39 = x
for y I told you this is the isosceles triangle
so , AD = DC
Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two, and describe any simplification that can be done.
Answer:
Add both of the function together.
Step-by-step explanation:
s(x) + a(x) = 450 + 6(x - 2)
Answer:
1) The function that represents how the money in her suit case is s(x) = 450
The function that represents the amount she is able to make from baby sitting is a(x) = 6(x - 2)
Given that the values of the two function are the same units, dollars, and the amount are to be put to the same use for spending money for her first year of college, the combination of the two functions is the sum of their values given as follows;
f(x) = s(x) + a(x) = 450 + 6(x - 2)
2) For simplification, we expand the second term and add the constant terms as follows;
f(x) = 450 + 6·x - 12
f(x) = 450 + 6·x - 12
f(x) = 438 + 6·x
The sum of the two terms becomes, f(x) = 438 + 6·x
Let a=(-7,3) and b=(-2,-12), and c=a+b. What is the magnitude and direction angle of c?
A. |c|=18; theta=135°
B. |c|=18; theta=225°
C. |c|=9sqrt2; theta=135°
D. |c|=9sqrt2; theta=225°
Answer:
D is correct
Step-by-step explanation:
I got it right on my edge math unit test review.
The value of |c| = 9√2 and θ = 225⁰
What is Magnitude?The magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind.
Here, given values;
a = (-7, 3) and b = (-2, -12)
Now, c = a + b
c = (-7, 3) + (-2, -12)
c = (-9, -9)
Now, |c| = √(9²+9²)
|c| = 9√2
Now, tan θ = |y/x|
tan θ = |-9/-9|
tan θ = 1
tan θ = tan 225⁰
θ = 225⁰
Thus, the value of |c| = 9√2 and θ = 225⁰
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Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?
Answer:
The ratio is 15:5 or 3:1. If Marianne is 3 years old, her brother is 1. And it is proportional...
Step-by-step explanation:
what is 5 8/12 as a mixed number in simplest form
Answer:
= [tex]5\frac{2}{3}[/tex]Step-by-step explanation:
Can someone please help with the question in the photo??
Answer:
x2/3
Step-by-step explanation:
Just add 1/6 four times because of the root.
it takes Molly 0.25 hours to drive to school. her route is 16 km long. what is Molly's average speed on her drive to school?
Answer:
64
Step-by-step explanation:
16 divided by 0.25 gives you 64 .... welcome
Answer:
64 km/h
I answered it correctly on a mid term
Write an equation in slope-intercept form of the line perpendicular to the given line that contains D
Which dot plot represents the data in the table?
Answer:
picturr is not visible to me
You start at (5, -1). You move up 5 units. Where do you end? On a coordinate plane
Answer:
0,-1
Step-by-step explanation:
Then I will end at (5,4)
6^3x=14 Show your work
Answer:
Is 3x supposed to be an exponent?
Step-by-step explanation:
Both possible answer are provided
3x as an exponent and as 6 times 3x
Factor 15x-10x^3
PLEASE ASNWER ASAP
Answer:
[tex]\huge\boxed{\sf 5x(3-2x^2)}[/tex]
Step-by-step explanation:
[tex]\sf 15x-10x^3\\\\Greatest Common Factor = 5x\\\\So, We'll \ take \ 5x \ common\\\\= 5x ( 3-2x^2)\\\\Thus, this \ is \ the \ factorized\ form\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807dwayne needs 1 1/4 cups of crushed oreos to put in his chocolate pudding and 2/3 cup of oreo crumbs for decoration on the top if he has 3 cups of crushed oreo in all how much will he have left
Answer:
1 1/4 cup left
Step-by-step explanation:
.75 of a third is a fourth, so that would mean that 2/3 is .50, 75% of 2/3, is 0.50, 1/4 is 0.25, so that would mean .75, which is 3/4 cups, so that would mean he needs 1 3/4 cups, so he has 1 1/4 cup left
Determine which fraction is larger 2/5 or 1/4
Answer
2/5
Step-by-step explanation:
if you multiply each fractions numerator and denominator so that they can be in the same group you will get
2/5=8/20
1/4=5/20
therefore 2/5 is bigger.
^^ i hope that made sense :)
The solution is: 2/5 is the fraction which fraction is larger than 1/4.
Here, we have,
given that, the fractions are, 2/5 & 1/4 ,
if we multiply each fractions numerator and denominator so that they can be in the same group.
here, we have to multiply 1st fraction by 4 both and 2nd fraction by 5 both.
we will get:
2/5=8/20
1/4=5/20
now, we know that,
8 > 5
=> 8/20 > 5/20
=> 2/5 > 1/4
therefore 2/5 is bigger.
Hence, The solution is: 2/5 is the fraction which fraction is larger than 1/4.
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I need to know for you to Awnser my question
Points and brainlest !!!
Answer:
id c hot hf hdjhdw fhwjfehf v;e
Step-by-step explanation:
id c h
Answer:
2/3
Step-by-step explanation:
theres only 4 less than 5 out of 6 so the fractio is 4/6. 4/6 simplified is 2/3
Michael wants to purchase a jeep. The purchase price of the Jeep is $37,000. The
dealership will allow him to pay cash or finance the Jeep with a down payment of
$5,000.00 and 60 monthly payments of $625.00. Michael chose to finance the jeep.
Answer the following questions.
a) What is the amount financed?
b) What is the total amount of monthly payments?
C} What is the amount of the finance charge?
Answer:
A) $32,000 B) $37,500 C) $5,500
Step-by-step explanation:
Price of jeep: $37,000
Michael uses $5,000 of his own money toward that total $37,000-$5,000= $32,000
Monthly payments $625.00×60months=$37,500
After paying $5,000 of his own money, & bringing theamount owed to $32,000. Michael still has to pay back $37,500. Making, the finance chardge $5,500. ($37,500-$32,000= $5,500)
Amount financed = $32000, total amount of monthly payment = $37500 and total amount of the finance charge = $5500.
What is dealership finance ?
"Dealer financing is a type of loan that is originated by a retailer to its customers and then sold to a bank or other third-party financial institution. The bank purchases these loans at a discount and then collects principle and interest payments from the borrower. This is also called an indirect loan."
According to the question,
Given,
Price of jeep = $37000
Down payment = $5000
Total number of monthly payment = 60
Amount to be paid after down payment
= $37000 - $5000
= $32000 ____( 1 )
Amount paid in Monthly payments = $625.00 × 60months
= $37500 ____( 2 )
From ( 1 ) and ( 2 ) we get,
Finance charge amount = Total monthly amount - Total amount financed
= $37500 - $32000
= $5500
Hence, amount financed , total amount monthly payment and total amount of the finance charge is $32000 , $37500 and $5500.
Learn more about dealership finance here
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The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to be donated to the Samaritan Center for the Homeless. A local travel agency donated the cruise, valued at $2000. The students sold 2629 raffle tickets at $5 per ticket. (a) Kevin bought forty-one tickets. What is the probability that Kevin will win the spring break cruise to the Caribbean
Answer: the probability that Kevin will win the spring break cruise to the Caribbean is 0.01559
Step-by-step explanation:
Given that;
the total number of raffle ticket sold by the student is 2629
Kevin bought 41 tickets
the probability that Kevin will win the spring break cruise to the Caribbean?
The required probability will be:
Probability
=(Number of favorable outcomes for an Event) / (Total Number of outcome)
so
probability = 41 / 2629
= 0.01559
Therefore the probability that Kevin will win the spring break cruise to the Caribbean is 0.01559
f (x) = (x + 1)(x - 3)(x - 4)
Answer:
f(x) = [tex]x^3-6x^{2} +5x+12[/tex]
zeros : -1,3,4
Step-by-step explanation:
Answer:
I solved for the function operation and got 4.53407019
Step-by-step explanation:
Hope this helps!! :)
