Answer:
22
Step-by-step explanation:
The ratio tells us 2/5 of the swimmers are indoor swimmers.
55(2/5)=22
A rocket is launched vertically upward with an initial velocity of 40 ft/sec. Its height h
in ft above the ground after t seconds can be represented by the following equation.
How many seconds will it take the rocket to hit the ground? Round to the nearest
hundredth.
h = - 16t² + 40t + 8
The rocket will take a time of approximately 2.686 seconds to hit the ground.
How much time does a rocket need to hit the ground?
The height of the rocket (h), in feet, is modelled by a quadratic equation, which is used to model free fall motion, that is, the motion of an object solely due to action of gravity. In this problem we must look for the time when the rocket hits the ground:
- 16 · t² + 40 · t + 8 = 0
(t - 2.686) · (t + 0.186) = 0
Only the first root offers a realistic solution, for time is a non-negative variable. The rocket will take a time of approximately 2.686 seconds to hit the ground.
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never got taught this.
Answer:
|-5| is equal to 5 because absolute value is the distance from 0
Step-by-step explanation:
a dreidel is a four-side spinning top. each of the dreidel has a letter from the Hebrew alphabet, nun, gimmel, hay and shin.
Matthew spins the dreidel twice. he says the probability
Answer:
8 with 6
Step-by-step explanation:
Which mixed number is equivalent to the improper fraction?
37
3
O A. 12
OB. 3/1/2
O C. 10
3
OD. 12/
Answer:
Mixed fractions is equivalent to improper fraction both A and C
A. 12 1/3
C. 10 7/3
Measures of Variation, Standard Deviation, Population Variance, Population. Can someone help?
To solve this problem one must be aware of the concepts of standard deviation and variance of raw data.
There is a direct formulae to calculate the variance of the data,
Variance = [tex]σ^{2} =\frac{Sigma(xi-m)^{2}}{n}[/tex]
Now here we need to verify ∑x and ∑[tex]x^{2}[/tex].
∑x = 21+19+15+32+27
= 114
and ∑[tex]x^{2}[/tex] = [tex]21^{2} +19^{2} +15^{2} +32^{2} +27^{2}[/tex]
= 441+361+225+1024+729
= 2780
So, the given relation is true.
Now the variance of the given data by putting the values in the formulae is equal to 45.2.
And Standard deviation=[tex]\sqrt{Variance}[/tex]
= [tex]\sqrt{45.2}[/tex]
= 6.72
And for population α²=36.16 and deviation=6.01.
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A set of three scores consists of the values 3, 7, and 2. Σ2(X – 3) =
Answer:
6
Step-by-step explanation:
[tex]\sum 2(X-3)=2(3-3)+2(7-3)+2(2-3)=0+8-2=6[/tex]
A surveyor is estimating the distance across a river. The actual distance is 279.8 m. The surveyor's estimate is 300 m.
Find the absolute error and the percent error of the surveyor's estimate. If necessary, round your answers to the nearest tenth.
Absolute Error = ___ m
Percent Error = ___%
Answer:
Absolute error = 20.2m
% error = 6.73%
Step-by-step explanation:
Absolute error = 300-279.8= 20.2m
% error = 20.2 ÷ 300 = 6.73%
Write an addition equation using numbers to represent
the verbal equation in problem 1.
The addition equation to represent the problem represented on the number-line is given by [tex]-5+8=3[/tex].
The number line is a visual representation of the real numbers along a straight line. Every point on a number-line contains a real number.
The integers that we see on this number line represents the round scores of the game Luis is playing.
At the beginning of second round Luis's team has a score of -5 , but he scored 8 points in the second round.
So the addition equation for representing this particular situation is given by :
Score in round 1 + points scored by Luis in round 2= Score in round 2
So the addition equation :
[tex]-5+8=3[/tex]
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A game of Blackjack or “21” is played with a regular deck of cards. The aim of the game is to have cards that add up to 21. The cards are not replaced to the deck once they have been drawn. If you draw two cards in a row, what is the probability of getting 21, when first card you get is an ace and the second card is a queen?
The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.
The term blackjack means that you get a value of 21 with only two cards.
Number of cards in a deck of cards = 52
There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.
Given that first card is Ace and second one is a Queen.
Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.
P(blackjack)=4×16/(52/2).
where P is used for probability .
Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.
Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.
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The area of a rectangular painting is 8712 cm^2.
If the width of the painting is 98 , what is its length?
100 POINTS!!!!
Answer:
The length is 88.90 cm
=========================
Area equation of a rectangle
A = lw, where A - area, l - length, w - widthGivenA = 8712 cm²w = 98 cmFind the length8712 = 98ll = 8712/98l = 88.90 (rounded)Answer:
Length = 88.9 cm
Step-by-step explanation:
Formula we use,
→ A = L × W
Then the value of its length is,
→ A = L × W
→ 8712 = L × 98
→ L = 8712/98
→ L = 88.8979591837
→ [ L = 88.9 cm ]
Hence, the length is 88.9 cm.
Determine the solutions of the equation:
the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0
x = −30 and x = 15
x = −20 and x = 15
x = −20 and x = 20
x = −15 and x = 15
The solutions of the equation are x = 15 and -20
How to determine the solutions of the equation?The equation is given as
the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0
Rewrite properly as
|2/5x + 1| - 7 = 0
Add 7 to both sides of the equation
|2/5x + 1| = 7
Remove the absolute bracket
2/5x + 1 = 7 and 2/5x + 1 = -7
This gives
2/5x = 6 and 2/5x = -8
Multiply both sides by 5/2
x = 15 and -20
Hence, the solutions of the equation are x = 15 and -20
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Answer:
x = 15 and -20
Step-by-step explanation:
| y - 4 | = | y + 10|
Show how to solve too !!
Answer:
y = -3
Step-by-step explanation:
You want the solution to the absolute value equation | y-4 | = | y+10 |.
Absolute valueThe absolute value function ...
f(x) = | x |
is piece-wise defined as ...
[tex]f(x)=\begin{cases}-x&\text{for }x < 0\\x&\text{for }x\ge 0\end{cases}[/tex]
That is, the function is defined differently for argument values less than 0.
Given relationThe above observation regarding the absolute value function means the nature of the given equation changes where the absolute value arguments are zero. Those values are ...
y -4 = 0 ⇒ y = 4
y +10 = 0 ⇒ y = -10
In other words, the points y = -10 and y = 4 divide the domain of the equation into three parts. The behavior will be different in each of those parts.
To solve the equation, we must examine each region of the domain for possible solutions.
y < -10When y < -10, both of the absolute value functions change the sign of their argument. Then the equation is ...
-(y -4) = -(y +10)
Adding y to both sides of this equation gives ...
4 = -10 . . . . . false
This means there is no solution to the equation in the region y < -10.
-10 ≤ y < 4When -10 ≤ y < 4, the absolute value function |y -4| changes the sign of its argument, but the other function does not. In this region, the equation becomes ...
-(y -4) = (y +10)
-6 = 2y . . . . . . . . . add y-10 to both sides
-3 = y . . . . . . . . divide by 2. This value is in the region -10 ≤ y < 4.
The solution to the equation is y = -3.
4 ≤ yWhen 4 ≤ y, neither absolute value function changes the sign of its argument. In this region the equation becomes ...
y -4 = y +10
Subtracting y from both sides of this equation gives ...
-4 = 10 . . . . . false
This means there is no solution to the equation in the region 4 ≤ y.
__
Additional comment
The first attached graph shows the given equation rewritten as two functions. The solution is where those functions have equal values: the point(s) where the graphs intersect.
We often find it more convenient to rewrite equations like this to the form f(x) = 0. Here, that might mean we define ...
f(x) = |y -4| -|y +10|
Then the solution is found on the graph at the x-intercepts. The graph in the second attachment shows this solution, and clearly shows the changes in behavior at x = -10 and x = 4.
Parcels contain 6 magazines and 4 books. How many parcels can be made from 290 magazines and books?
29 parcels can be made from 290 magazines and books
How many parcels can be made from 290 magazines and books?The given parameters are
1 parcel = 6 magazines and 4 books
This can be rewritten as:
1 parcel = 10 magazines and books
For 290 magazines and books, we have
x = 290 magazines and books
This means that
x = 290 magazines and books
1 parcel = 10 magazines and books
Cross multiply
x * 10 = 290 * 1
This gives
x = 29
Hence, 29 parcels can be made from 290 magazines and books
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Tony is hoping to find a job in management with an annual salary of $37,297. What will be his monthly pay rounded to the nearest cent?
Answer:
$3,108.08 per month
Step-by-step explanation:
Calculator shows the answer as 3,108.0833 with the 33 repeating. Rounding to the nearest cent (100ths place) gives $3,108.08
(PLEASE HELP ANSWER THIS QUESTION QUICK) (and correctly please)
Analyze the following using a Venn diagram. Choose the best
answer.
"All plants have cells. Irises have cells. Therefore, irises are
plants."
1 Valid The inner circle is those with cells and the outer circle is plants
2 invalid. The inner circle is plants, and the outer circle is those with cells.
3 Invalid. The inner circle is things with cells, and the outer circle is plants
Answer: Choice 2
invalid. The inner circle is plants, and the outer circle is those with cells.
=========================================================
Further Explanation:
If we throw a dart at random, and we land in the inner circle (plants), then we automatically land in the outer circle (has cells).
Now imagine the dart landed in the "has cells" circle, but outside the smaller circle. This could be stuff like animal cells, bacteria, etc. So just because something has cells it does not automatically make it a plant. Saying "an iris has cells" is not enough info to be able to tell it's a plant or not. This means the conclusion of "irises are plants" is shaky at best.
This is why the overall argument structure is invalid.
For more information, check out the concept of "affirming the consequent" which is a common fallacy people make.
Suppose you are drawing a scaled copy of a triangle with one of the sides measuring 5 centimeters. If
you are using a scale factor of 2, how long will the corresponding side of the scaled copy be?
It will be 10
It will be
cm²
How long will the corresponding side of the scaled copy be if you use a scale factor
ctor of /?
It will be 12-1/2
long.
1³/?
How long will the corresponding side of the scaled copy be if you use a scale factor of
mm²
long.
vlong.
Answer:
spam
Step-by-step explanation:
spam spam spam
The average annual wage of workers from a certain country for selected years from 2011 projected through 2021 can be modeled by y= 2286x + 38,620, with y equal to the average annual wage
in dollars and x equal to the number of years after 2010. When does the model project that the average annual wage of workers in the country will be at least $68,400?
Select the correct choice below and fill in the answer box to complete your choice.
(Round to the nearest integer as needed.)
A. in the year
and before
B. in the year
and after
OC. in the year
The average annual wage of workers in the country will be at least $68400 in the year 2023 and after , the correct option is option (B) .
In the question it is given that
model of the average annual wage (y) = 2286x + 38620 ...(i)
where x = number of years after 2010,
It is also given that the average annual wage(y) must be at least 68,400 .
which means y ≥ 68400
Substituting value of y from equation (i) we get ,
2286x + 38620 ≥ 68400
Simplifying the inequality further we get ,
2286x ≥ 68400 - 38620
2286x ≥ 29780
x ≥ 29780/2286
x ≥ 13.02 ≅ 13
Hence , the average annual wage will more than the specified value from the year, 2010+13 = 2023 .
Therefore , the average annual wage of workers in the country will be at least $68400 in the year 2023 and after , the correct option is option (B) .
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Show two methods for finding the quotient 3/8 divided by 3/4
Step-by-step explanation:
9/32 or 0.28125
hehhehehehehehhehehehe
Answer:
Hello,
Step-by-step explanation:
[tex]\dfrac{\dfrac{3}{8} }{\dfrac{3}{4} } =\dfrac{0.375}{0.75}=\dfrac{375}{750} =\dfrac{1}{2} =0.5\\\\--------------------------------\\\\\dfrac{\dfrac{3}{8} }{\dfrac{3}{4} }=\dfrac{3}{8} * \dfrac{4}{3} \\\\\\=\dfrac{4}{8}\\\\=\dfrac{1}{2}\\\\=0.5\\[/tex]
Anna solves the expression 6(5+3) and gets the result 48. Jojo solves the same expression and gets the result 33. Who is correct?
Answer:
Anna is correct.
Step-by-step explanation:
Using PEMDAS, you need to add the terms in the parentheses first.
After adding, you get 8×6 = 48
Jojo made the mistake of multiplying 6 and 5 first, and then adding 3.
Betsy, a recent retiree, requires $6,000 per year in extra income. She has $60,000 to invest and can invest in B-rated bonds paying 13% per year or in a certificate of deposit (CD) paying 5% per year. How much money should be invested in each to realize exactly $6,000 in interest per year?
$37,500 should be invested in B-rated bonds and $22,500 should be invested in a certificate of deposit in order to realize exactly $6,000 in interest per year.
The total amount to be invested is $60,000. We are given two options for investing the money.The money can be invested either in B-rated bonds, which pays 13% interest per year, or in a certificate of deposit (CD), which pays 5% interest per year.Let the amount to be invested in B-rated bonds be 'x'. The amount to be invested in a certificate of deposit equals 60,000-x. The requirement is to get an exact amount of interest that equals $6000. The total interest per year = 13% of 'x' + 5% of (60,000-x).6,000 = 13x/100 + 5(60,000-x)/100.6,00,000 = 13x + 5(60,000-x)6,00,000 = 13x + 300,000-5x6,00,000 = 8x + 300,0008x = 300,000x = 300,000/8x = 37,500Now calculate the value of 60,000-x.60,000-x = 60,000-37,50060,000-x = 22,500Thus, the amount to be invested in B-rated bonds is $37,500 and the amount to be invested in a certificate of deposit is $22,500.To learn more about interest, visit :
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If you drive 263 miles and have 11 gallons of gas remaining in your tank. Then you continue driving, and calculate that after driving 314 miles you have 8 gallons left.
What is your rate?
The Fuel efficiency rate in miles per gallon is; 104.67 MPG
How to calculate Fuel efficiency rate?
Let the initial amount of gallons be x
Now, after driving for 263 miles, you have 11 gallons of gas left in your tank.
Now, you continue driving and after driving 314 miles, you have 8 gallons left. This means that number of gallons used to drive 314 miles = 11 - 8 = 3 gallons
Therefore the Fuel efficiency rate which is in miles per gallon is;
MPG = 314/3
MPG = 104.67 MPG
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The sum of two numbers is -316. One number is 94 less than the other. Find the numbers
3/4 - 5/8 step by step
Answer:
1/8
3/4 - 5/8
*2/2
6/8 - 5/8 = 1/8
Step-by-step explanation:
14. Explain how you can use multiplication to
find the quotient. Then evaluate the
expression.3/5 divided 3/15
Answer:
You can flip the second fraction and multiply the fractions so 3/5 * 15/3 = 3
Step-by-step explanation:
Plss help mee pls
Can someone answer this or look for the answer keys pls help
Answer:
11. 6
13. 73
15. 588
17. 139
19. 18
21. 18
23. 8
Step-by-step explanation:
To solve these equations, you simplify each expression. You also use the order of operations.
In an election of a municipality two candidates A and B stood for the post of Mayor and 25000 people were in the voter list. Voters were supposed to cast the vote for a single candidate. 12000 people cast vote for A, 10000 people cast for B and 1000 people cast vote even for both. Show these informations in a Venn-diagram. How many people didn't cast vote ? Find it. How many votes were valid ? Find it.
Venn diagram{image attached},2000 people didn't cast their vote and 1000 votes are not valid in the election
Given that In a municipal election, two candidates, A and B, ran for the position of Mayor, and 25000 people voted. Voters were supposed to vote for only one candidate. A received 12000 votes, B received 10,000 votes, and 1000 cast votes for A and B both.
Number of votes for A=12,000
Number of votes for B=10,000
1000 cast votes to Both A and B, these votes are not valid because each one is supposed to vote only for one.
Therefore, the number of votes not valid is 1000
Total people cast vote= sum of votes for every party
Total people cast vote=12,000+10,000+1000
Total people casted vote=23,000
Therefore, Venn diagram{image attached},2000 people didn't cast their vote and 1000 votes are not valid in the election
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what is the answer to 2 1/5 - 1 3/10=
Answer: 1/10
Step-by-step explanation:2 * 1/5 is 2/5 and 1*3/10 is 3/10 and when you subtract them you get 1/10
Answer:9/10
Step-by-step explanation:get 2 1/5 into a improper fraction thats 11/5 then multiply by to for the common demontor thats 22/10
get 1 3/10 into a improper fraction 13/10
then minus 22-13 thats 9
then bring in the bottom 9/10 hope that helps
Please help me I need this fast in class
Will give brainlest for help!
I got half the question solved I need help with other half please
Answer: y=-37/2
Step-by-step explanation:
y=9x/8 + (-1/2)
y=9x/8 - 1/2
y=9(-16)/8 - 1/2
y=9*(-2) - 1/2
y=-18 - 1/2
y=-(18 + 1/2)
y=-(18 + 1/2)*2/2
y=-(36 + 1)/2
y=-37/2
In 2016, 6.76% (1,026) of Cincinnati college and university graduates majored in Registered Nursing. That combined statement provides both the percentage (6.76%) and the number (1,026) of Cincinnati college and university students who majored in Registered Nursing in 2016. Based on that statement, how many students graduated from Cincinnati universities and colleges altogether in 2016? Round to the nearest whole number.
The total number of students who graduated from the Cincinnati universities and colleges are 15382.
We are given that 6.76 % of Cincinnati college and university graduates majored in Registered Nursing.
The number of the Cincinnati college and university graduates who majored in Registered Nursing = 1026.
We need to find the total number of students that graduated from the Cincinnati universities and colleges altogether in 2016.
Let the total number of students be x.
ATQ:
6.67 % x = 1026
6.67 x = 102600
667 x = 10260000
x = 10260000 / 667
x = 15382.309
Rounding off to the nearest whole number is:
x = 15382.
Therefore, we get that the total number of students who graduated from the Cincinnati universities and colleges are 15382.
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My child is struggling with the answer.
Using the relation between velocity, distance and time, the distances are given as follows:
A. d = 13/3 miles.
B. d = 4.25 miles.
C. d = M x 5/60(first five minutes) + N x 15/60(last 15 minutes).
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
v = d/t.
Hence the distance is:
d = vt.
In item a, considering the time in hours, we have that:
v = 13, t = 20/60 = 1/3.
Hence:
d = 13/3 miles.
In item b, we have different definitions, then:
d = 15 x 5/60(first five minutes) + 12 x 15/60(last 15 minutes).
d = 15/12 + 15/5
d = 4.25 miles.
For item c, we have that:
d = M x 5/60(first five minutes) + N x 15/60(last 15 minutes).
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