Answer:
Step-by-step explanation:
Answer :5/6 - 1/4 = 7/12 get same denominator and subtract.
Hope this will help u..
The average height of a 17-year-old girl in the US is about 64 inches with a
standard deviation of 2.8 inches. Without using a calculator, estimate the
probability of 17-year-old girl in the US that are between 58.4 inches and 69.6
inches.
the probability of 17-year-old girl in the US that are between 58.4 inches and 69.6 inches is 0.9544 .
Step-by-step explanation:
Step 1: Sketch the curve.
The probability that 58.4<X<69.6 is equal to the blue area under the curve.
Step 2:
Since μ=64 and σ=2.8 we have:
P ( 58.4<X<69.6 ) = P ( 58.4−64 < X−μ < 69.6−64 )=P ( 58.4−64/2.8 < X−μ/σ< 69.6−64/2.8)
Since Z = x−μ/σ , 58.4−64/2.8=−2 and 69.6−64/2.8=2 we have:
P ( 58.4<X<69.6 )=P ( −2<Z<2 )
Step 3: Use the standard normal table to conclude that:
P ( −2<Z<2 )=0.9544
Therefore, the probability of 17-year-old girl in the US that are between 58.4 inches and 69.6 inches is 0.9544 .
17. a) Ula jest dwa razy młodsza od Oli i o 4 lata starsza od Ali. Razem te trzy
dziewczynki mają 24 lata. Ile lat ma każda z nich?
b) Tata Zosi jest od niej 3 razy starszy, a Zosia jest od niego młodsza o 30 lat.
Ile lat ma Zosia?
c) Julek i Asia są w sumie o 6 lat starsi od Michała, ale każde z nich z osobna
jest od niego młodsze: Julek o 7 lat, Asia o 2 lata. Ile lat mają wszyscy razem?
Daje Naj za odpowiedź daną za godzinę maks
Answer:
Part 17)
Ula's age is 7 years
Ola's age is 14 years
Ali's age is 3 years
Part 18) Zosia's age is 15 years
Part 19) All together are 36 years old
Step-by-step explanation:
The question in English is
17. Ula is twice as young as Ola and four years older than Ali. Together these three girls are 24 years old. How old is each of them?
18. Zosia's father is 3 times older than her and Zosia is 30 years younger than him.
How old is Zosia?
19. Julek and Asia are 6 years older than Michael, but each of them separately is younger than him: Julek by 7 years, Asia by 2 years. How old are they all together?
Part 17)
Let
x ----> Ula's age
y ---> Ola's age
z ---> Ali's age
we know that
Ula is twice as young as Ola
[tex]y=2x[/tex] ----> equation A
Ula is four years older than Ali
[tex]x=z+4[/tex]
[tex]z=x-4[/tex]----> equation B
Together these three girls are 24 years old.
so
[tex]x+y+z=24[/tex] -----> equation C
substitute equation A and equation B in equation C
[tex]x+2x+(x-4)=24[/tex]
solve for x
[tex]4x=24+4\\4x=28\\x=7[/tex]
Find the value of y
[tex]y=2(7)=14[/tex]
Find the value of z
[tex]z=7-4=3[/tex]
therefore
Ula's age is 7 years
Ola's age is 14 years
Ali's age is 3 years
Part 18)
Let
x ----> Zosia's father's age
y ----> Zosia's age
we know that
Zosia's father is 3 times older than Zosia.
so
[tex]x=3y[/tex] ----> equation A
Zosia is 30 years younger than him.
so
[tex]y=x-30[/tex] ----> equation B
substitute equation A in equation B
[tex]y=3y-30[/tex]
solve for y
[tex]3y-y=30\\2y=30\\y=15[/tex]
therefore
Zosia's age is 15 years
Part 19)
Let
x ----> Julek's age
y ----> Asia's age
z ----> Michael's age
we know that
Julek and Asia are 6 years older than Michael
so
[tex]x+y=z+6[/tex] ----> equation A
Julek is 7 years younger than Michael
[tex]x=z-7[/tex] ----> equation B
Asia is 2 years younger than Michael
so
[tex]y=z-2[/tex] -----> equation C
substitute equation B and equation C in equation A
[tex](z-7)+(z-2)=z+6[/tex]
solve for z
[tex]2z-z=6+9\\z=15[/tex]
Find the value of x
[tex]x=15-7=8[/tex]
Find the value of y
[tex]y=15-2=13[/tex]
Adds the ages
[tex]x+y+z=8+13+15=36\ years[/tex]
therefore
All together are 36 years old
In a class of 18 children, 13 have pet dogs at home, 11 have pet cats, and 8 have both. How many kids do not have four-legged pets at home?
Answer:
2 people
Step-by-step explanation:
8 have both that means that of the 11 people that have cats 3 have only cats and of the 13 that have dogs 5 only have dogs therefore 2 people don't have four-legged animals at home
Answer:
2
Step-by-step explanation:
it starts out with 18 students, 24 pets in total. -16 for the dogs and cats, to lead up to 8, and 10 students left after subtracting 8 for how many students don't have a pet at home. So 2 students shouldn't have four legged pets left after subtracting the rest. (this is my answer, it's probably wrong, i think you should wait for more,)
say something there are 30 points in game
Answer:
Thats pretty neat
Step-by-step explanation:
Life
What is the alternator-to-engine drive ratio if the
alternator turns at 1125 rpm when the engine is idling
at 500 rpm?
Answer:
720
Step-by-step explanation:
hope it helps
Answer:
2.25 : 1
Step-by-step explanation:
Since the ratio is 1125 rpm for the alternator: 500 rpm for the engine, find the unit rate.
1125 : 500 Divide both sides by 500
2.25 : 1 For every turn of the engine, there are 2.25 turns of the alternator.
If this answer is correct, please make me Brainliest!
What did the boy bumper car say to the girl bumper car
Answer:
may I have the next dents?
Step-by-step explanation:
The question refers to a potential joke or riddle involving boy and girl bumper cars. The precise answer isn't clear without additional context, but an example of a joke incorporating cars is provided.
Explanation:The question asked, 'What did the boy bumper car say to the girl bumper car', appears to be a joke or riddle. It is ambiguous without a specific punchline directly related to educational material. However, if this is in reference to a literary work, there's a chance we could interpret the question more effectively. An example answer might be: 'Excuse me, are you a parking ticket? Because you've got FINE written all over you!'. That is an example of a typical joke that includes automobiles, although it's important to remember that humor can be subjective.
Learn more about Jokes here:https://brainly.com/question/33509840
#SPJ3
I need to find the line of the slope that passes through the points (-2,3) and (-14,-5) answer in simplest form
Hope this will help u....:)
a restaurante bill comes to $28.35. Find the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax.
Answer:
$35.79
Step-by-step explanation:
Bill: $28.35
Tip of 20%: $5.67 ( 28.35*0.2)
Tax of 6.25%: $1.77 ( 28.35*6.25)
Total: $35.79
Answer:
$35.79
Step-by-step explanation:
28.35(0.2 tip)
=5.67
28.35(0.0625 tax)
=1.77
$28.35 + $5.67 tip + $1.77 tax
=$35.79
Hope this helps
please mark me brainliest it would help(✿◠‿◠)
need help also.......
Answer:
Step-by-step explanation:
[tex]\frac{QT}{Q'T'}=\frac{1}{2}\\[/tex]
Scale factor:
1:2
13 feet = how many yards and feet
Answer:
13 feet= 4.33333 yards
Step-by-step explanation:
Answer:
4 yards and 1 foot
Step-by-step explanation:
I yard is 3 feet. 13 divided by 3 is 4 with the remainder of one foot.
Brian and Colin win some money and share it in the ratio 5:1. Brian gets £50. How much did Colin get?
Answer:
£10
Step-by-step explanation:
Divide the amount Brian gets by 5 to find the value of one part of the ratio.
£50 ÷ 5 = £10 ← value of 1 part of the ratio
Colin gets 1 part of the ratio, that is £10
A package of balloons contains 5 green, 3 yellow, 4 red, and 8 pink balloons. Suppose you reach in the package and choose one balloon at random. What is the probability of choosing a balloon that is NOT GREEN?
Answer:
15/20 or 3/4 or 75%
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
first add up all the balloons: 5 + 3 + 4 + 8 = 20
then subtract the green: 20 - 5 = 15
now create your fraction: 15/20
simplify by 5: 3/4
change to percent : 3/4 = .75 x 100 = 75%
You earn 60 dollars for mowing 5 lawns how much do you earn for mowing 15 lawns
well 60/5=12
so you get $12 per yard
12*15=180
or you could notice that 5 goes into 15 3 times and then multiply 60*3 any way the answer is 180
You would earn $180 if you did 15 yards
what is the vaule of the expression x + y + - y
When x= -1 and y = 3
Answer:
[tex]x + y - y \\ - 1 + 3 - 3 \\ = - 1[/tex]
Answer:
-1
Step-by-step explanation:
This is a substitution question
The given equation is x+y+(-y)
And x is said to be-1,y=3
So let's solve
x+y+(-y)
Open the bracket first
x+y-y
So let's substitute
-1+3-3
-1+0
=-1
Therefore the final answer is-1
The box plots show attendance at a school dance competition and school badminton games.
Box plots titled Attendance at School Dance Competitions versus School Badminton Games with horizontal axis labeled Attendance ranges from 50 to 160. Dance Competition box plot with minimum approximately at 60 and maximum approximately at 150 has interquartile ranges approximately between 60 and 130 and median approximately between 90 and 100. Badminton box plot with minimum approximately 90 and maximum approximately at 150 has interquartile ranges approximately between 90 and 150 and median approximately between 120 and 130.
Which of the following best describes how to measure the spread of the data?
The standard deviation is a better measure of spread for dance competitions than for badminton games.
The IQR is the best measurement of spread for badminton games and dance competitions.
The IQR is a better measure of spread for dance competitions than for badminton games.
The standard deviation is the best measurement of spread for badminton games and dance competitions.
Answer:
The IQR is a better measure of spread for dance competitions than for badminton games.
Step-by-step explanation:
I understand from "Dance Competition box plot has interquartile ranges approximately between 60 and 130" that quartile 1 is at 60 and quartile 3 is at 130, then, the interquartile range (IQR) is 130 - 60 = 70.
Similarly, from Badminton box plot, quartile 1 is at 90 and quartile 3 is at 150, then, the interquartile range is 150 - 90 = 60.
IQR is a measure of statistical dispersion, that is, as IQR increase, spread increase.
The statement that best describes how to measure the spread of the data in the given box plot is: B. The IQR is the best measurement of spread for badminton games and dance competitions.
Recall:
Interquartile range (IQR) is the difference between the first quartile and the third quartile.From a box plot, the first quartile and the third quartile can be found at both ends of the rectangular box, which can be used to determine the IQR of a data set.IQR is a measure of spread.Since the data is plotted on a box plot, IQR can easily be gotten which is a measure of spread.
Therefore, the statement that best describes how to measure the spread of the data in the given box plot is: B. The IQR is the best measurement of spread for badminton games and dance competitions.
Learn more about interquartile range on:
https://brainly.com/question/9386254
There are 38,412 nurses registered in the region this year. There are about __________
less nurses than last year when there were 42,198 nurses.
a. 3,800 b. 3,900 c. 4,600
Answer:
A. 3,800
Step-by-step explanation:
42,198 - 38,412 = 3786
Final answer:
To find the decrease in the number of registered nurses from last year, subtract this year's nurse count, 38,412, from last year's, 42,198, which results in 3,786, rounded to 3,800 (option a).
Explanation:
The question asks to calculate the difference in the number of nurses registered this year compared to last year. The registered nurses this year are 38,412, and last year there were 42,198 nurses. To find the difference, we subtract the number of nurses this year from the number last year.
Number of nurses last year: 42,198
Number of nurses this year: 38,412
Difference = 42,198 - 38,412 = 3,786
The closest round number to the actual difference (3,786) is 3,800, which is option (a).
Which expression is equivalent to 18c-6d? A: 2(9c-6d)
B: 3(6c+2d)
C: 2(9c-3d)
D: c(18-6d)
Answer: answer is C because if you do 2x9 abd 2x3 you 18c-6d and you cant subtract thise cause they have different variables
Step-by-step explanation:
Answer:
[tex]6(3c-d)[/tex] or [tex]3(6c - 2d)[/tex]
Step-by-step explanation:
Step 1: Factor out the GCF
The GCF for 18c and 6d is just the number 6.
[tex]18c - 6d[/tex]
[tex]6(3c - d)[/tex]
Or... you can pull out a 3
[tex]18c-6d[/tex]
[tex]3(6c-2d)[/tex]
Answer: [tex]6(3c-d)[/tex] or [tex]3(6c - 2d)[/tex]
A circle passes through point (−2, −1) and its center is at (2, −1). Which equation represents the circle?
A) (x − 2)2 + (y + 1)2 = 16
B) (x − 2)2 + (y − 1)2 = 16
C) (x + 2)2 − (y + 1)2 = 20
D) (x − 2)2 + (y + 1)2 = 20
Answer:
A) (x − 2)2 + (y + 1)2 = 16
please give me brainliest
Step-by-step explanation:
center: (2, −1)
(x − 2)2 + (y + 1)2
radius: 4
4^2 = 16
In January, Toby's bookstore sold books. In February, he sold 20% more books.
How many books did he sell in February? *
Answer:
450
Step-by-step explanation:
THIS IS DUE TODAY!!!!
PLEASE HELP!!!!
Answer:Rectangle NOSR is similar to LOSP.
Step-by-step explanation: The length of the sides are similar. (18 * 2/3 = 12, 12 * 2/3 = 8)
What are the roots of the quadratic function in the graph?
Answer:
The roots would be -4 and 2.
Step-by-step explanation:
Roots are always going to be where the graph crosses the x axis. In this case, the graph crosses the x axis at -4 and 2.
Hence, the roots are -4 and 2.
Jamal traveled 80 miles in 114 hours. Which expression gives Jamal's speed in miles per hour?
options:
1 1/4 x 80
1 1/4 divided by 80
80/1 1/4 (Fraction)
1 1/4/80 (Fraction)
Answer:
80/1 1/4 (Fraction)
Step-by-step explanation:
[tex]speed = \frac{distancs}{time} \\ \\ \hspace{29pt}= \frac{80}{1 \frac{1}{4} } mph[/tex]
The table shows the side lengths and perimeters of four squares.
Side Length (x)
Perimeter (y)
4.5
18
8.5
34
10.25
41
13.75
55
Which equation represents the relationship between the side length, x, and the perimeter, y?
y = 4x
y = x + 13.5
y = x – 13.5
Answer: I believe that the answer is y=4x
Step-by-step explanation: y=4*4.5= 18
y=4*8.5= 34 I hope I explained it well.
Look at the image to answer.
3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall and 2ft wide, what is the volume of the toy? Round your answer to two decimal places.
Answer:
The volume of the toy is [tex]V=5.23\ ft^3[/tex]
Step-by-step explanation:
step 1
Find the volume of the hemisphere
The volume of the hemisphere is given by the formula
[tex]V=\frac{2}{3}\pi r^{3}[/tex]
In this problem, the wide of the toy is equal to the diameter of the hemisphere
so
[tex]D=2\ ft[/tex]
[tex]r=2/2=1\ ft[/tex] ----> the radius is half the diameter
substitute
[tex]V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3[/tex]
step 2
Find the volume of the cone
The volume of the cone is given by
[tex]V=\frac{1}{3}\pi r^{2}h[/tex]
we know that
The radius of the cone is the same that the radius of the hemisphere
so
[tex]r=1\ ft[/tex]
The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy
[tex]h=4-1=3\ ft[/tex]
substitute the given values
[tex]V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3[/tex]
step 3
Find the volume of the toy
we know that
The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.
so
[tex]V=(\frac{2}{3} \pi+\pi)\ ft^3[/tex]
[tex]V=(\frac{5}{3}\pi)\ ft^3[/tex]
assume
[tex]\pi=3.14[/tex]
[tex]V=\frac{5}{3}(3.14)=5.23\ ft^3[/tex]
PLZZ ANSWER THIS AS SOON AS POSSIBLE!!!!
Answer:
y = -9.3
if they are complementary it is 45 degrees
if they are supplementary it is 90 degrees
Step-by-step explanation:
-12.7 = y -3.4
-12.7 + 3.4 = y -3.4 + 3.4
-9.3 = y
complementary angles equal to 90 degrees
supplementary angles equal to 180 degrees
vertical angles have same degrees
so 90/2= 45
180/2 =90
maybe -16.1
and how are you sending the photo
Consider the graph that represents the following quadratic equation.
y=-1/3(x+2)^2+5
--the graph opens:
-downward
-upward
--the vertex of the graph is:
-(2,5)
-(-2,-5)
-(-2,5)
--the axis of symmetry of the graph is:
-x=2
-x=-2
Answer:
Part 1) The graphs open downward
Part 2) The vertex is the point (-2,5)
Part 3) The axis of symmetry is x=-2
Step-by-step explanation:
step 1
we have
[tex]y=-\frac{1}{3}(x+2)^2+5[/tex]
This is a vertical parabola open downward (because the leading coefficient is negative)
The vertex is a maximum
step 2
The quadratic equation is written in vertex form
[tex]y=a(x-h)^2+k[/tex]
where
(h,k) is the vertex
so
In this problem
The vertex is the point (-2,5)
step 3
The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex
The x-coordinate of the vertex is -2
therefore
The axis of symmetry is x=-2
Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance between the train stations in New York and Boston is 240 miles. The average speed of train A is 60 mph, which is 3/4 of the average speed of train B.
How soon will the trains meet?
Answer:
After 1.7 hoursExplanation:
1. Calculate the average speed of train B
60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph2. Build a table
When the two trains meet:
Train Average speed Distance time (distance/average speed)
mph
A 60 x x/60
B 80 240 - x (240 - x) / 80
3. Write the equation
The time, when the two trains meet, is the same for both trains:
[tex]\dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles[/tex]
4. Calculate the time:
x/60 = 102.86 / 60 = 1.7 hoursThe two trains will meet after 1.7 hours
Answer:
1.7
Step-by-step explanation:
The circumference of a circle is 47 m. Find its diameter, in meters.
los numeros primos menores que 15
Answer:
2, 3, 5, 7, 11, 13,
Answer: 1, 3, 5, 11, 9, 7, 13
Step-by-step explanation:
Odd numbers can't be divided by two.
Even numbers can be.