The approximate areas of the continents (excluding North America) are as follows:
- Australia: 11 million km^2
- Europe: 15 million km^2
- Antarctica: 18 million km^2
- South America: 26 million km^2
- Africa: 44 million km^2
- Asia: 66 million km^2
To find the approximate area of each continent, we will multiply the given percentages by the area of North America (220 million km^2).
1. Australia:
Percentage: 5%
Approximate area: 0.05 * 220 million km^2 = 11 million km^2
2. Europe:
Percentage: 7%
Approximate area: 0.07 * 220 million km^2 = 15.4 million km^2 (rounded to 15 million km^2)
3. Antarctica:
Percentage: 8%
Approximate area: 0.08 * 220 million km^2 = 17.6 million km^2 (rounded to 18 million km^2)
4. South America:
Percentage: 12%
Approximate area: 0.12 * 220 million km^2 = 26.4 million km^2 (rounded to 26 million km^2)
5. Africa:
Percentage: 20%
Approximate area: 0.20 * 220 million km^2 = 44 million km^2
6. Asia:
Percentage: 30%
Approximate area: 0.30 * 220 million km^2 = 66 million km^2
Note: These values are rounded to the nearest million square kilometers.
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The motion of the ball from the time it was thrown upwards was modeled closely by the function,h(t)=-16t2+128t+144, where h(t) represents the height of the ball in feet after t seconds. After how many seconds did the ball reach the ground?
please I need help
Answer:
9 seconds
Step-by-step explanation:
When the ball reaches the ground, the height, h(t), is 0. Might as well make the numbers easier to work with - since for the x-intercepts (t-intercepts), h(t) = 0, you can divide the entire equation by the greatest common factor, in this case -16, to make things better:
[tex]0=-16t^2+128t+144\\0=t^2-8t-9[/tex]
Now you can solve this any way you like, such as by using:
[tex]\frac{-b \± \sqrt{b^2-4ac}}{2a}\\[/tex]
This is an easy polynomial though, and you may be able to factor it just by eyeballing it:
[tex]0=t^2-8t-9\\0=(t-9)(t+1)\\t=9,-1[/tex]
You can't have negative time, so we reject -1, leaving only 9 as the answer.
The sixth graders at Kingston Middle School voted for their favorite sport. The results are in the circle graph below. Favorite sports 3/20 Football 1/2 Basketball 1/2 Golf Baseball 1/10 If the 180 students in sixth grade get to choose a sport to play for a special reward, how many of these students will choose basketball?
Answer:
90 Students.
Step-by-step explanation:
1/2 (Half) of 180 is 90.
Answer:
90 students will choose basketball
Step-by-step explanation:
half (1/2) choose basketball and half of 180 is 90
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
10x + 2y = -18
Answer:
y = -5x-9
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
10x + 2y = -18
Subtract 10x from each side
10x + 2y-10x =-10x -18
2y = -10x-18
Divide each side by 2
2y/2 = -10x/2 -18/2
y = -5x-9
A large bag contains 16 red, 48 blue, and 16 green marbles. Each student in Mrs. Wynn's class randomly selects a marble, records the color, and then puts the marble back into the bag. Mrs. Wynn then reports the total number of red, blue, and green marbles selected by the entire class.
Which of these statements are true? Choose all that are correct.
A.
Theoretically, the probability of selecting one red marble from this bag is 0.20.
B.
If a student does not return his or her marble to the bag before the next student selects his or her marble, the theoretical probability of selecting a blue marble may be different for the next student.
C.
If there are 30 students in the class, the total number of blue marbles selected should be about 18 but may be more or less.
D.
It is possible that every student selects a green marble.
E.
If the total number of red marbles selected is not equal to the total number of green marbles selected, then there was a mistake in selecting the marbles or recording the data.
Answer:
Find the volume of this prism.
Theoretically, the probability of selecting one red marble from this bag is 0.20.
If a student does not return his or her marble to the bag before the next student selects his or her marble, the theoretical probability of selecting a blue marble may be different for the next student.
What are the probabilities?Probability determines how likely it is an event would happen. The chances of the event happening lie between 0 and 1.
The probability of selecting one red marble from this bag = number of red marbles / total number of marbles
16 / 80 = 0.20
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please help 20 points
Answer:
Option C is correct
Step-by-step explanation:
[tex]a. - 3, - 12 \\ = 36[/tex]
[tex]b. - 6, - 6 \\ = 36[/tex]
[tex]c. \: \: 9, - 4 \\ = - 36[/tex]
[tex]d. \: \: 2,18 \\ = 36[/tex]
Hope it is helpful...In the table below, x represents the miles traveled and y represents the cost to travel by train.
Miles, x
Cost, y
2
8.50
5
15.25
8
22.00
12
31.00
In the table below, x represents miles traveled and y represents the cost to travel by train.
Miles, x
Cost, y
2
8.50
5
15.25
8
22.00
12
31.00
What is the y-intercept of this function?
2.25
4.00
6.50
17.13
Answer:
B
Step-by-step explanation:
edge 2021
Answer:
b
Step-by-step explanation:
Miguel and Jacqui built towers out of craft sticks.Miguel's tower had a 4-inch base.Jaquis tower had a 6-inch base.Miguels tower had a volume of 128 cubic inches and jaquis had a volume of 288.Who's tower was taller
Answer:
Height is same for both the towers
Step-by-step explanation:
The computation is as follows;
For 1st tower
The height is
= 128 ÷ 4^2
= 8 inches
And,
For the 2nd tower
The height is
= 288 ÷ 6^2
= 8 inches
So as we can see that the height of the both the tower is same i.e. 8 inches so the same should be considered
Help plssss I’m trying to finish this diagnostics test
Answer: 5 Seconds
Step-by-step explanation: Given the equation of the height expressed ad;
h(t) = - 16t^2 + initial height
Given that initial height = 400feet
h(t) = - 16t^2 + 400
The waste will hit the ground at when h(t) = 0
substitute
0 = - 16t^2 + 400
16t^2 = 400
t² = 400/16
t² = 25
t = √25
t = 5secs
Introduce the variables and set up the system of equations: Rafael and Lucas go to the mall. The two of them buy a total of 15 t-shirts. Rafael gets 3 less than twice as many t-shirts than Lucas. How many t-shirts did each of them get?
Answer:
lucas = 9
rafael = 6
Step-by-step explanation:
two equations can be derived from the question
r + l = 15 equation 1
r = l - 3 equation 2
r = rafael
l = lucas
substitute for r in equation 1
l - 3 + l = 15
combine similar terms
l + l = 15 + 3
2l = 18
l = 9
substitute for l in equation 1
r + 9 = 15
r = 15 - 9
r = 6
Give the name (monomial, binomial,
trinomial, etc.) and the degree of the
polynomial.
5x3 - x2 + 2
The polynomial, [tex]5x^3 - x^2 + 2[/tex], is a trinomial and the degree of the polynomial is 3.
A polynomial is an algebraic expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.
The given polynomial, [tex]5x^3 - x^2 + 2[/tex], has three terms separated by addition and subtraction symbols, making it a trinomial.
The highest exponent in the polynomial is 3, which determines its degree.
So, the degree of the polynomial is 3.
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Write and equation for a line that is parallel to the line 4y + 3x = 12
Answer:
y = -3/4 x + B
Step-by-step explanation:
B is the translation of the line across y-axis
farmer joe used 2/13 bags of seeds on each acre of land. If there are 6 acre of land, how much seed did he use?
Answer:
12/13 bags
Step-by-step explanation:
2/13 * 6 = 12/13
37) The endpoint of the diameter in circle 0 are (-2,5) and (6,5), find the equation of the circle in standard form
Answer:
(x-2)^2+y^2=16
Step-by-step explanation:
If the center of the circle is (h,k) and the radius is r, then the equation of a circle is (x-h)^2+(y-k)^2=r^2 (with the Pythagorean theorem)
So, the center of this circle 0 is (2,0) and the radius is 4. Thus, the equation is (x-2)^2+y^2=16
Find the volume of the sphere.
Either enter an exact answer in terms of π or use 22/7 for π.
Answer:
0.167π
Step-by-step explanation:
r = 0.5
[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi 0.5^{3} = 0.167\pi[/tex]
Pls help me with this one if: 1 1/2+ 2 3/4+ 3 2/5=6+10/20+15/20+8/20=6 33/20=7 13/20 then what is 2 1/2+1 3/4+3 2/3=?? It's adding and subtracting mixed numbers by the way
Answer:
7 11/12
Step-by-step Explanation:
2 1/2 = 2 2/4
2 2/4 + 1 3/4 = 3 5/4 = 4 1/4
4 1/4 = 4 3/12
3 2/3 = 3 8/12
4 3/12 + 3 8/12 = 7 11/12
find a unknown length of the sides
Answer:
[tex]a = 3\sqrt{7}[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine (a)
To do this, we make use of Pythagoras theorem.
[tex]12^2 = a^2 + 9^2[/tex]
[tex]144 = a^2 + 81[/tex]
Collect like terms
[tex]a^2 = 144 -81[/tex]
[tex]a^2 = 63[/tex]
Take square roots
[tex]a = \sqrt{63}[/tex]
Expand
[tex]a = \sqrt{9*7}[/tex]
Split
[tex]a = \sqrt{9}*\sqrt{7}[/tex]
[tex]a = 3\sqrt{7}[/tex]
I NEED TO GRADUATE I NEED HELP NOW
Two opposing opinions were shown to a random sample of 2,150 buyers of a particular political news app in the United States. The opinions, shown in a random order to each buyer, were as follows:
Opinion A: The issue of equal pay is more important than increasing the minimum wage.
Opinion B: Increasing the minimum wage is more important than the issue of equal pay.
Buyers were to choose the opinion that most closely reflected their own. If they felt neutral on the topics, they were to choose a third option of "Neutral."
The outcomes were as follows:
50% chose Opinion A, 42% chose Opinion B, and 8% chose "Neutral."
Part A: Create and interpret a 99% confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B. (5 points)
Part B: The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met? (5 points)
Answer: Answer:
A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B
= (0.51, 0.57)
This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)
B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.
_________________________________________________________
Step-by-step explanation:
Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample proportion) ± (Margin of error)
Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.
Critical value = 2.33
Standard error = σₓ = √[p(1-p)/n]
p = sample proportion = 0.54
n = sample size = 1500
σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287
98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]
CI = 0.54 ± (2.33 × 0.01287)
CI = 0.54 ± 0.02998)
98% CI = (0.51, 0.57)
98% Confidence interval = (0.51, 0.57)
B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?
For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;
- The sample data must have been obtained using a random sampling technique.
- The sampling distribution must be normal or approximately normal.
- The variables of the sample data must be independent of each other.
On the second point, the condition for a binomial distribution to approximate a normal distribution is that
np ≥ 10
and n(1-p) ≥ 10
The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.
For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.
Step-by-step explanation:
Which is the following rays? Choose all that apply
Answer:
PL, PQ
Step-by-step explanation:
a ray starts with a point and goes on for infinity (the arrow)
Put these Set of Numbers in ascending order.
3
-1
[tex] \sqrt{5} [/tex]
13
-11
Step-by-step explanation:
i think may be
3 ,13 ,-1 ,-11 , root under 5
2 = n/3 what is n? what does n equal
Answer:
n = 6
Step-by-step explanation:
Given
2 = [tex]\frac{n}{3}[/tex] ( multiply both sides by 3 to clear the fraction )
6 = n
Answer:
n=6
Step-by-step explanation:
If you divided 6 and 3 you would get an answer of 2. So the equation is saying n/3 which is n divided by 3 would give an answer of 2.
Will give brainliest!! Pls help
Directions: Simplify each term by factoring.
1. 3rs
2. 12xy
3. 5x^2
4. 36x^2
5. 25x^2
6. 30x^2
7. 5x^3
8. 24y^3
9. 9xy
10. 12x^4
Factoring means to break and make it shorter.
Answers:
1. [tex]3rs=3*r*s[/tex]
2. [tex]12xy=2*2*3*x*y[/tex]
3. [tex]5x^{2} =5*x*x[/tex]
4. [tex]36x^{2} =2*2*3*3*x*x[/tex]
5. [tex]25x^{2} =5*5*x*x[/tex]
6. [tex]30x^{2} =5*7*x*x[/tex]
7. [tex]5x^{3} =5*x*x*x[/tex]
8. [tex]24y^{3}= 2*2*2*3*y*y*y[/tex]
9. [tex]9xy=3*3*x*y[/tex]
10. [tex]12x^{4} =2*2*3*x*x*x*x[/tex]
hope this helps
16. If f(x) = x2 + 2, which interval describes the range of this function?
(1) (-00,00) (2) [0,00) (3) [2,00) (4) (-00,2]
00 means infinity
Answer:
Number 4
Step-by-step explanation:
if someone answers this i won’t drop out
Answer:
d
Step-by-step explanation:
A school club visits a science museum. Student tickets cost $10 each.
Non-student tickets cost $15 each. The club paid $300 for the tickets.
Which equation below could model this situation? *
A. Y=300(15+10)
B. 300=10x + 15y
C. 25x=300
D. Y=300+10x
Heeeelp please I'm desperate
Answer:
A = 108 ft²
Step-by-step explanation:
the length of the smaller rectangle must be 9 (27÷3)
therefore, the ratio of length to width is 3/9 and if the polygons are similar then the length and width of the larger shape would be 6/18
18 x 6 = 108
A car starts from rest and acquires a velocity of 72 km/h in 5s. Find the distance travelled by car assume motion of car is uniform.
Answer:
Converting velocity into m/s
72x5/18=20 m/s²
Distance = Velocity *Time
20*5=100m
Step-by-step explanation:
hope it's helpful
Triangle ABC ~ Triangle DEF. Measure of angle A = 20
degrees and measure of angle F = 65 degrees. AB=10, DE = 15, EF= 12.
Find measure of angles B, E, D and C and the length of BC.
Answer:
B=95°
E=95°
D=20°
C=65°
BC=7cm
Step-by-step explanation:
the triangles look like they are identical, just different in size only. Since DE= 15 and AB=10 that may mean that they have a 5cm difference making side BC= 7cm since EF= 12 minus 5 equals 7cm. Now for the other angles, a triangle no matter what,if we put all their angles together equal 180°. We already know angle A= 20 so the same applies to angle D. We also know that angle F=65 degrees, that makes angle C the same. The only thing that's left are angles B and E that can be found by adding our other angles. So if A+C(20+65)=85 then 180-85=95 degrees is angle B and since the triangles are identical the same goes to E.
A scalene triangle has the lengths 6, 11, and 12. Keyla uses the law of cosines to find the measure of the largest angle. Complete her work and find the measure of angle Y to the nearest degree.
Answer:
The maximum angle is 84.3 degree.
Step-by-step explanation:
Sides of a triangle is
a = 6 , b = 11, c = 12
The maximum angle is opposite to c.
So,
[tex]a =6, b =11, c = 12 \\\\cos C =\frac{a^2+b^2-c^2}{2 ab}\\\\cos C =\frac{36+121-144}{2\times 6\times 11}\\\\cos C = \frac{13}{132}\\\\cos C = 0.0985\\\\C =84.3^o[/tex]
Answer:
The person above got it wrong its 84
Step-by-step explanation:
got it wrong on edge
Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes Is true?
Answer:
They are congruent.
Step-by-step explanation:
You can tell because a string of rigid transformations could lay them directly on top of each other without any parts hanging off.
You can reflect shape 2, rotate it, then translate it up to lay them on top of each other.
A plot of land is shown. Find the measures of
Answer:
Both angles are 124 degrees.
Step-by-step explanation:
The angles of hexagons add up to 720 degrees, so if you subtract the known angles, (90, 90, 146, 146) you end up with 248. Divide by two and you get 124 degrees for each angle.