By using the definition of rational numbers, we can get:
a) 0.2501, 0.2502, 0.2503b) 0.334, 0.335, 0.336How to find rational numbers?
Remember that a rational number is a number of the form:
N = a/b
Where a and b are integer numbers. Also, any number with a finite number of digits (or infinite repeating) after the decimal point is a rational point.
a) First, we want to find 3 rational numbers between 1/4 and 0.252525...
We can rewrite:
1/4 = 0.25
Then we want to find 3 rationals between 0.25 and 0.2525...
For example, 0.2501 meets this requirement, is larger than 0.25 and smaller than 0.2525...
Another two examples will be 0.2502 and 0.2503
b) Now we have 1/3 = 0.333... and 0.3434...
3 rational numbers between these two are:
0.333... < 0.334 < 0.3434...
0.333... < 0.335 < 0.3434...
0.333... < 0.336 < 0.3434...
If you want to learn more about rational numbers, you can read:
https://brainly.com/question/12088221
HELO WILL GIVE BRANLIEST!
Answer:
Step-by-step explanation:
he surface area of a cube is equal to 6 times the side length squared.
SA=68^2
where SA is the surface area and 8 is the side length.
If the side length of the cube is 4 cm each, then let s=4 cm
So the surface area of the 4-cm-side-length cube is:
SA=6∗(4 cm)^2
=6∗16 cm^2
=96 cm^2
Using the product of the means equals the product of the extremes, solve for x, to the nearest tenth. 4:9=x:6
Cross multiply:
4 x 6 = 9x
24 = 9x
Divide both sides by 9
X = 24/9
X = 2.7 ( rounded to the nearest tenth)
Which expression uses numbers and symbols to represent the statement subtract 6 from 11 ,double the difference, and then add three- fourths?
Answer:
sorry if I knew I would have told you but follow me
I need help please !!!!!!!!
Answer:
B. 7√3
Step-by-step explanation:
30-60-90 triangles have special side proportions that would be very beneficial to memorize because I guarantee you will use it in the future.
Please see the attached image.
The answer is 7*√3=7√3
in a raffle 200 tickets are sold 78 children and 93 women buy one ticket each men buy the rest of the tickets. work out the probability that a man buys the winning ticket
Answer:
The probability that a man buys the winning ticket is 107/200
Step-by-step explanation:
78 men buy tickets, 93 women buy tickets. If the rest of the tickets are given to men, there are 200-93-78, or 29 tickets left, which go to men. 78 + 29 = 107 men who have tickets.
The probability that a man buys the winning ticket is
number of men with tickets / number of tickets, or
107 / 200.
6 = k over 9
k equals?
Answer:
k = 54
Step-by-step explanation:
6 = [tex]\frac{k}{9}[/tex]
multiply both sides by 9 to isolate k
=> k = 54
Answer:
k = 54
Step-by-step explanation:
[tex]6 = \frac{k}{9}[/tex]
Multiply both sides by 9:
9(6) = k
k = 54
Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent.
Answer:
Step-by-step explanation:
Pls help! ASAP! I will mark Brainliest! If you give me a file or guess I will report you!
Answer:
the second and last one
....................
dividing fractions
16 4
__ ÷ __
21 9
to find the answer we are using KCF( keep change flip)
Answer:
36/21 (simplified)
Step-by-step explanation:
To use KCF, multiply by the reciprocal. 16/21 x 9/4
Just flip the denominator with the numerator
Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longboard (L) users and 30 shortboard (S) users. Treat these data as though they were from two independent random samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders (because longboards can go out in many different surfing conditions). Use a level of significance of 0.05.
Longboard :4,8,9,4,9,7,9,6,6,1 1,1 3, 12, 10, 151316,12,10. 12,18,20.15,10.15,19,21,9,22, 1923 Shortboard: 6,4,4,6,7,7,7,10,4,6,7,5,8,9,4,15,13,9,12,11,12,13,9,11,13,15,9,19,20,11
Determine the hypotheses for this test. Choose the correct answer below. Find the test statistic for this test. Find the p-value for this test. What is the conclusion for this test? Reject H0. The mean days surfed for longboarders is not significantly larger than the mean days surfed for all shortboarders Do not reject H0. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders Do not reject H0. The mean days surfed for longboarders is not significantly larger than the mean days surfed for all shortboarders
Answer:
Do not reject H0. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders
Step-by-step explanation:
The null hypothesis is that the mean days surfed for all long boarders is larger than the mean days surfed for all short boarders
H0: μL > μs against the claim Ha: μL≤ μs
the alternate hypothesis is the mean days surfed for all long boarders isless or equal to the mean days surfed for all short boarders (because long boards can go out in many different surfing conditions)
The test statistic is
t= x1- x2/ √s1/n1+ s2/n2
1) Calculations
Longboards
Mean
ˉx=∑x/n=4+8+9+4+9+7+9+6+6+11+15+13+16+12+10+12+18+20+15+10+15+19+21+9+22+19+23+13+12+10/30
=377/30
=12.5667
Longboard Variance S2=[∑dx²-(∑dx)²/n]/n-1
=[831-(-13)²/30]/29
=831-5.6333/29
=825.3667/29
=28.4609
Shortboard Mean
ˉx=∑x/n=6+4+6+6+7+7+7+10+4+6+7+5+8+9+4+15+13+9+12+11+12+13+9+11+13+15+9+19+20+11/30
=288/30
=9.6
Shortboard Variance S2=[∑x²-(∑x)²/n]/n-1
=[ 3270-(288)2/30]/29
=3270-2764.8/29
=505.2/29
=17.4207
2) Putting values in the test statistic
t=|x1-x2|/√S²1/n1+S²2/n2
t =|12.5667-9.6|/√28.4609/30+17.4207/30
t =|2.9667|/√0.9487+0.5807
t=|2.9667|/√1.5294
t=|2.9667|/1.2367
t=2.3989
3) Degree of freedom =n1+n2-2=30+30-2=58
4) The critical region is t ≤ t(0.05) (58) =1.6716
5) Since the calculated t= 2.4 does not fall in the critical region t(0.05) (58) ≤ 1.6716 we do not reject H0.
The p-value is 0.008969. The result is significant at p <0 .05.
HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A D 1 Vertical
Step-by-step explanation:
x always represents 1
Drag and drop each area on top of the triangle it matches. i already did the 4 that have the answers on them qith the teacher. PLS HELP!!
Answer:
Step-by-step explanation:
Which triangle side lengths form a right triangle? Choose all that apply.
➪ 5, 6, 7
➪ 6, 8, 14
➪ 8, 15, 17
➪ 10, 12 15
➪ 15, 20, 15
➪ 16, 18, 20
Your answer would be C (8,15,17) and E (15,20,15) or is it 25?
Step-by-step explanation:
:)
5x^2-4v^2=-99
2x^2+2v^2=90
Please show your work, if you show your work I will mark Brainiest!!!
9514 1404 393
Answer:
(x, v) ∈ {(-3, -6), (-3, 6), (3, -6), (3, 6)}
Step-by-step explanation:
For a quick and easy answer, my "work" is to use a graphing calculator.
(x, v) = (±3, ±6) . . . . in all 4 combinations
__
Add double the second equation to the first.
(5x^2 -4v^2) +2(2x^2 +2v^2) = (-99) +2(90)
9x^2 = 81
x^2 = 9
Substituting this into the second equation gives ...
2(9) +2v^2 = 90
2v^2 = 72
v^2 = 36
So, (x^2, v^2) = (9, 36). Taking square roots, we get ...
(x, v) = (±3, ±6) . . . . in all combinations
Determine the simple interest rate for each given principal, time, and simple interest earned.
Principal: $1200
Time: 15 years
Simple Interest: 5720
Answer:
31.8%
Step-by-step explanation:
The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.
I = PRT
5720 = (1200)(R)(15)
5720 = 18,000R
R = 0.3177777, rounded to 31.8%
Answer:
32%
Step-by-step explanation:
5720/15=381.33 interest per year
principal x interest rate = interest per year
1200 x interest rate =381.33
interest rate = 381.33/1200
interest rate = 32%
What is the value of x in the figure? Enter your answer in the box.
145°
(2x + 15)°
x=
Answer:
Answer: x=65
Step-by-step explanation:
Since they're vertical angles both sides are equal to 145 degrees
So, 145-15= 130 to get rid of the constant
Then, 130/2=65
To check you work add up all of your solutions to get 145
2*65=130 & 130+15=145
Therefore, x=65
Please help me, I need the answer in the next 5mins. AND NO LINKS!!!!!!!
Find the value for x
Answer:
x=4
Step-by-step explanation:
The two angles together are complementary, which means they add up to 90 degrees
solving for x:
9x+4x+38=90
9x+4x=13x
13x+38=90
13x+38-38=90-38
13x=90-38
13x=52
x=4
hope this helps ^D^
Answer:
9x=4x+38
5x=38
x=38/5
Step-by-step explanation:
sum of -4/5 and -5/12. please answer.
Answer:
[tex]- 1 \frac{13}{60} [/tex]
Step-by-step explanation:
[tex] - \frac{4}{5} + - \frac{5}{12} \\ \frac{ - 48 - 25}{60} \\ \frac{ - 73}{60} \\ = - 1 \frac{13}{60} [/tex]
Hope this helps you.
Can I have the brainliest please?
Which side lengths form a right triangle?
Answer:
Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²
needed to apply
4²+8²=12²
80≠144 not a right angled triangle
again
2²+√5²=3²
9=9/
side are a right angled triangle
again
2²+2²=(√8)²
4+4=8
8=8
side are a right angled triangle
Answer:
[tex]2,\sqrt{5},3[/tex] and [tex]2,2,\sqrt{8}[/tex]
Step-by-step explanation:
Mrs townsend conducted a study of 145 students. She found that 20% of the students did NOT play video games. How many students did NOT play video games?
Please explain
Answer:
29 students
Step-by-step explanation:
Given that 20% of the 145 student did not play video games, you take the 145 times .20 and should be able to find the number that did NOT play video games.
[tex]0.2(145) = 29[/tex]
Use the graph to determine the vertex point of the quadratic function. Is the vertex a
maximum or a minimum?
A) Vertex (2,1), minimum
B) Vertex (1,2), maximum
C) Vertex (2,1), maximum
D) Vertex (1,2), minimum
Answer:
B) Vertex (1,2), maximum
Step-by-step explanation:
First, determine if the graph has a maximum or a minimum value. Since the graph opens downwards, it has a maximum value.
The maximum is the point that has the greatest y value. We can see that the greatest y value is at [tex]y=2[/tex]. Going down two units from that spot, we can see that the x value is at [tex]x=1[/tex]. We can plug those into the vertex form, [tex](x,y)[/tex]. By plugging in we get the point [tex](1,2)[/tex].
The queen of hearts, queen of diamonds, queen of spades, and queen of clubs are taken out of a deck of cards. They are to be put in 3 places on a table. In how many different ways can they be placed in the 3 spots?
Answer:
Hello There!!
Step-by-step explanation:
The answer is 52.
hope this helps,have a great day!!
~Pinky~
please help me! it’s urgent
Answer: 85
Step-by-step explanation:
360degree for quad
thus
95+85+95 = 275
360-275 = 85
Answer:
S=85°
Step-by-step explanation:
95+85+95= 275
(a square is equaled to 360 degrees so you do this)
360°-275°= 85°
(Take away what the shape/angle is equal to from your findings in your first step) .
Find the distance between the two points. (−6, −7), (0, 0)
Answer:
d = √85
Step-by-step explanation:
Here use the distance formula.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\text{Substitute the values.}\\d = \sqrt{(0-(-6))^2+(0-(-7))^2}\\\text{Subtract by negative, which is adding.}\\d=\sqrt{(6)^2+(7)^2}\\\text{Apply the powers of 2.}\\d=\sqrt{36+49}\\\text{Add.}\\d=\sqrt{85}[/tex]
Need help understanding this problem! If someone would explain how to do it that would be great!
In Triangle FGH, FH=6 ft, FG=11 ft, and m
*Hint: Law of Cosines
Answer:
m∠G = 31.83°
Step-by-step explanation:
From the triangle FGH,
FH = 6 ft
FG = 11 ft
And measure of the included angle ∠F = 73°
We have to find the measure of ∠G.
By applying law of cosine in the triangle to get the measure of third side GH first,
GH² = FH² + FG² - 2(FH)(FG)cos(∠F)
GH² = 6² + 11² - 2(6)(11)cos(73°)
GH² = 36 + 121 - 38.593
GH = √118.407
GH = 10.88 ft
Now apply sine rule in the given triangle to get the measure of ∠G.
[tex]\frac{\text{sinG}}{FH}=\frac{\text{sinF}}{GH}[/tex]
[tex]\frac{\text{sinG}}{6}= \frac{\text{sin(73)}}{10.88}[/tex]
sin(G) = 0.527374
G = [tex]\text{sin}^{-1}(0.527374)[/tex]
m∠G = 31.83°
Mr. Beck has 5 brown socks, 1 pair of green socks, and 4 pairs of blue socks in his sock drawer. If he randomly chooses one pair from the drawer, what is the probability that he will choose a blue pair of socks?
a. 1/2
b. 1/10
c. 3/5
d. 2/5
Answer:
D. 2/5
Step-by-step explanation:
First, find the total number of sock pairs in his drawer:
5 + 1 + 4
= 10
Since there are 4 pairs of blue socks, the probability that he will choose a blue pair of socks is 4/10.
This can be simplified by dividing each number by 2.
Simplified, the probability is 2/5.
So, the correct answer is D. 2/5
A factory makes 1554 units in 14 days with the help of 20 workers. If 2 workers go on leave, how many units can be produced, if there are only 10 days?
Can somebody help me with this quickly whoever answers first gets a thanks
G. From the origin move right 3 units,then up 6 units
H. From the origin move left 2 units,then up 11 units
J. From the origin move right 8 units, then down 10 units
K. From the origin move left 16 units, then down 20 units
L. Plot the first point at the origin then move up 5 units
M. From the origin move left 14 units and plot the next point at the origin
The negative integers greater than or equal to -12
Answer:
The negative integers are greater than -12