the distance from earth to the sun is approximately 93 million miles about how many giga meters is this round to the nearest hundredth
Answers
Answer: 149.7
Step-by-step explanation:
Related Questions
Computer use.
A random sample of 197 12th-grade students from across the United States was surveyed, and it was observed that these students spent an average of 23.5 hours on the computer per week, with a standard deviation of 8.7 hours. If we plan to use these data to construct a 99% confident interval, the margin of error will be approximately.
(a.) 0.07
(b.) 0.62
(c.) 1.6
(d.) 8.7
Answers
Answer:
The margin of error will be approximately =
(c.) 1.6
Step-by-step explanation:
Sample of 12th-grade students = 197
Average hours spent on computer per week = 23.5 hours
Total hours spent = 4,625 (197 * 23.5) hours
Standard deviation = 8.7 hours
Confidence interval = 99%
Square root of sample size = [tex]\sqrt{x}[/tex] = 14.04
Standard deviation/square root of sample size = 8.7/14.04 = 0.6196
Z value at 99% confidence = 2.58
Margin of error = 0.6196 * 2.58
= 1.59857
= 1.6
This question can be determined by the concept of standard deviation. The margin of 1.6 error will be approximately.
Given:
Random sample of 12th-grade students = 197
Average hours spent on computer per week = 23.5 hours
Therefore,
Total hours spent by 12th grade students = [tex]\bold{(197 \times23.5=4629.5)hours}[/tex]
Standard deviation = 8.7 hours (Given)
Confidence Interval =99% (Given)
Square root of random sample size = = 14.04
[tex]\bold{\dfrac{Standard\: deviation}{Square\: root\: of\: sample\: size} =\dfrac{8.7}{14.04 } = 0.6196}[/tex]
Therefore,
Z value at 99% confidence = 2.58
Margin of error = [tex]0.6196 \times2.58[/tex]
= 1.59857 error
= 1.6 error
Thus, the correct option is (c) 1.6 error.
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If the ages in a classroom were 11, 12, 12, 13, 13, 14 - what would the median age be if you added someone that was 10 years old?
Answers
Answer: 12 years old
Step-by-step explanation:
10,11,12,12,13,13,14
The middle in these numbers is 12
Convert 86 to base 5.
Answers
Answer:
321
Step-by-step explanation:
Conversion of 86 to base 5 will be done through base 10 to base 5 and it will be (321)₅.
How to convert any number into base 10?To convert any number to base 10 we have to multiply its unit digit by 10⁰ and its tenth digit by 10¹.
After it, we need to add it. It will give us a number of the 10 bases.
Conversion of any 10 base number into base 5
To convert any number to base 5 we need to divide by 5 and write the remainder each time thus we need to write the quotient from down to up.
Converting 86 to base 10
⇒ 8ₓ10¹ +8ₓ[tex]10^0[/tex]
⇒ 86₁₀
Converting 86₁₀ into 86₅
When the number 86 is converted in a base of 5 will be (321)₅
Since we need to go down to up to 321₅ will be the correct answer.
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Graph a line with a slope of 4 that contains the point (3,0).
Answers
Hi there!
Recall that slope-intercept form is:
y = mx + b
Where m = slope
In this instance, we are given a slope of 4, therefore:
y = 4x + b
Substitute in the x and y coordinates of the point given:
0 = 4(3) + b
0 = 12 + b
Subtract 12 from both sides:
-12 = b
Therefore, the equation would be:
y = 4x - 12
Graph the equation by finding x and y values or using a calculator:
x = 0, y = 4(0) - 12 = 12 (0, 12)
x = 1, y = 4(1) - 12 = -8 (1, -8)
x = 2, y = 4(2) - 12 = -4 (2, -4)
x = 3, y = 4(3) - 12 = 0 (3, 0)
And so forth:
To graph a line passing through a point (3, 0) and slope 4, we will find the equation of the line first.
Since, equation of a line passing through a point (h, k) and slope 'm' is given by,
y - k = m(x - h)
Therefore, equation of a line passing through (3, 0) and slope 4 will be,
y - 0 = 4(x - 3)
y = 4x - 12
For y-intercept put x = 0 in the equation,
y = 4(0) - 12
y = -12
For x-intercept put y = 0 in the equation,
0 = 4x - 12
x = 3
Therefore, line will intersect x-axis at (3, 0) and y-axis at (0, -12).
By joining these points we can find the graph of the line passing through (3, 0) and having slope = 4.
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Solve -3(5x-9) please
Answers
Answer:
12
Step-by-step explanation:
Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?
Answers
Answer:
The correct option is a. Amy’s balance would be greater than Hank’s in the end.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?
a. Amy’s balance would be greater than Hank’s in the end.
b. Amy’s balance is $5,142 and Hank’s balance is $3,207.
c. Hank’s balance would be greater than Amy’s in the end.
d. The investment and balance would be the same.
e. None of these are true
The explanation to the answer is now given as follows:
The balance in the end for each can be determined using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:
FV = M * (((1 + r)^n - 1) / r) ................................. (1)
Where;
For Amy:
FV = Future value or balance in the end = ?
M = Monthly investment = $500
r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005
n = number of months the investment will be made = 40 years * 12 months = 480
Substituting the values into equation (1), we have:
FV = $500 * (((1 + 0.005)^480 - 1) / 0.005)
FV = $500 * 1,991.49
FV = $995,745.37
Therefore, Amy’s balance would be $995,745.37 in the end.
For Hank:
FV = Future value or balance in the end = ?
M = Monthly investment = $1,000
r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005
n = number of months the investment will be made = 20 years * 12 months = 240
Substituting the values into equation (1), we have:
FV = $1,000 * (((1 + 0.005)^240 - 1) / 0.005)
FV = $1,000 * 462.04
FV = $462,040.90
Therefore, Hank’s balance would be $462,040.90 in the end.
Conclusion
Since Amy’s balance of $995,745.37 is greater than Hank’s balance $462,040.90, it therefore implies that the correct option is a. Amy’s balance would be greater than Hank’s in the end.
find the sum of the interior angle measures of the polygon
Answers
Work Shown:
We have 9 sides of this polygon. See the diagram below. So n = 9
Plug that into the formula below to find the sum of the interior angles
S = 180(n-2)
S = 180(9-2)
S = 180*7
S = 1260
Can anyone help me find parallel segments in this diagram ? It doesn’t matter if it’s just a few or 2
Answers
Answer:
A-F parallel to B-D
B-A parallel to D-F
B-F parallel to C-E
Step-by-step explanation:
Line segment A-F is parallel to B-D
Line segment B-A is parallel to D-F
Line segment B-F is parallel to C-E
anybody understand this ? please help me .
Answers
Answer:its a or b
Step-by-step explanatio
Answer:
The answer is (2)
Step-by-step explanation:
We know that to the distance between two numbers on a number line, we subtract the smaller number from the larger number. For instance, the difference between [tex]5[/tex] and [tex]3[/tex] is simply [tex]5-3[/tex], which is [tex]2[/tex]. With that being said, variables such as [tex]p[/tex] or [tex]q[/tex] differ from a question to another. Sometimes, the [tex]p[/tex] is larger, but sometimes the [tex]q[/tex] is. If we don’t know which one is which, we can subtract them in any order and take the absolute value of that result. If the result of subtraction is positive, great! The absolute value of that is still positive ([tex]5-3=2\\|5-3|=2[/tex]) If it’s not, now it is! (e.g., [tex]|3-5|=2[/tex]! Therefore, the answer is (2) [tex]|p-q|[/tex].
Expand and simply (x + 3) (x + 5)
Answers
the process of finding factors
Answers
Find the area of the shape shown below
Answers
Answer:
18 MARK AS BRAINLIEST OR ELSE!!!!
Step-by-step explanation:
area = 1/2h(sum of bases)
area = 1/2x3(3+9)
area = 1/2 of 36
area = 18
Josh rents a kayak at a nearby state park. He pays a flat rate of $12.99 plus $3.75 for
each hour that he spends in the water. How much did Josh spend if he was on the river
for 4 hours?
Answers
Answer:
Whats a kayak?
Step-by-step explanation:
Sales of video games and consoles fell from $1.15 million to $1.03 million in 1 year. Find the percent decrease.
Answers
Answer:100 times 7
Step-by-step explanation: because
if i have 1000 dollars and lose 1000 dollars how much do i have left 100 points
Answers
The mathematical answer would happen to be... 0
Answer:
0
Step-by-step explanation:
thankyou! the answer was wrong you saved me.
Answers
Answer:
hey
Step-by-step explanation:
For every left-handed person, there are about 4-right handed people. If there are 30 students in a class, predict the number of students who are right-handed.
Answers
Answer:
There are 24 right handed students
Step-by-step explanation:
This is a ratio question so it would be represented as 1:4.
First you would do 1 + 4 which is 5.
Then do 30 ÷ 5 which is 6.
Finally multiply 6 by 4 and 1.
So 6 × 4 × 1 is 24.
So there are 24 students who are right handed.
Hope this makes sense!
Danny paid $17.22 for 6 gallons of gasoline. How much did Danny pay for one gallon of gas?
Answers
Answer:
Danny paid 2.87$ per gallon of gasoline
Step-by-step explanation: 17.22 divided by 6
Find the quotient of 60:5
Answers
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
60:5 = 60/5. 60/5=12
What value of θ makes the statement true?
cos(θ)=sin(θ/3−10)
Answers
The required value of θ for the trigonometric function cos(θ)=sin(θ/3-10) is 60°.
What are trigonometric functions?The basic Trigonometric functions are sine, cosine, tangent, secant, cosecant and cotangent.
The given equation is,
cos(θ)=sin(θ/3-10) (1)
To find the value of θ,
Change the whole equation into one trigonometric function,
Since, cos(θ)=sin(90-θ)
Substitute this value in equation (1)
sin(90-θ)=sin(θ/3-10)
⇒90-θ=θ/3-10
⇒4θ/3=80
⇒θ=60
The value of θ is 60°.
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There are 60 students in a classroom, 50% of the students are
boys. 30% of the boys and 60% of the girls want to buy the
new textbook. How many students want to buy the new
textbooks?
___ students
Answers
Answer:
28
Step-by-step explanation:
If 50% of students are boys that means there are 30 boys and 30 girls. Then if 30% of boys are 10 and 60% of girls are 18. You add 18+10 and that gives you 28.
Convert 144 pounds to kilograms. Use 1 kg = 2.2 Ib. Round your answer to the nearest tenth. kg
Answers
Answer:
Since 1 kg is equals to 2.2 lb. You divide 144 by 2.2 :
144/2.2
=65.45
=70 kg
Can you help with the 2 that are not correct?
Answers
Answer:
MPO=MNO
NPO=MNP
Step-by-step explanation:
MPO=MNO because MPO opposite angles of a parallelogram are congruent.
MNO is the top right angle of the parallelogram and so the opposite side of that is MPO or OPN whatever way you want to write it.
NPO=MNP because they are alternate interior angles. (If you don't understand what that means I can come back and explain it)
Death Valley, located in California, is the lowest place in North America. It is 282 feet below sea level, or -282 feet. The Dead Sea, in Asia, is the lowest place on Earth. It's elevation is approximately 4.82 times the elevation of Death Valley. What is the approximate elevation of the Dead Sea?
Answers
Answer:
1359.24
plz mark brainly
Step-by-step explanation:
It is known that 10% of the UNIVERSITY students own their own car. If a random sample of 10 students is taken, what is the probability that at most 2 have their own vehicle?
Answers
Probability of students having their own vehicle
= 2/10
= 1/5
After 10 years, the principal on this mortgage is $136,683. How much of the next payment will go towards interest
Answers
Answer: 13,668 i think.
Use Newton's method to approximate the given number correct to eight decimal places. 4√73
Answers
Answer:34.17601498.
Step-by-step explanation:
Newton's method of approximation is used to approximate values.
The value of [tex]\mathbf{4\sqrt{73}}[/tex] is 34.17601498
Let the number be x.
So, we have:
[tex]\mathbf{x = 4\sqrt{73}}[/tex]
Square both sides
[tex]\mathbf{x^2 = 1168}[/tex]
Subtract 1168 from both sides
[tex]\mathbf{x^2 - 1168 = 0}[/tex]
Express as a function
[tex]\mathbf{f(x) = x^2 - 1168 }[/tex]
Set x1 to 73/2.
So, we have:
[tex]\mathbf{x_1 = \frac{73}{2} = 36.5}[/tex]
Where:
[tex]\mathbf{x_{n+1} = x_n- \frac{x_n^2-1168}{2x_n}}[/tex]
So, we have:
[tex]\mathbf{x_{1+1} = x_1- \frac{x_1^2-1168}{2x_1}}[/tex]
[tex]\mathbf{x_{2} = x_1- \frac{x_1^2-1168}{2x_1}}[/tex]
This gives
[tex]\mathbf{x_{2} = 36.5- \frac{36.5^2-1168}{2 \times 36.5}}[/tex]
[tex]\mathbf{x_{2} = 34.25}[/tex]
[tex]\mathbf{x_{3} = x_2- \frac{x_2^2-1168}{2x_2}}[/tex]
[tex]\mathbf{x_{3} = 34.25- \frac{34.25^2-1168}{2 \times 34.25}}[/tex]
[tex]\mathbf{x_{3} = 34.1760948905}[/tex]
[tex]\mathbf{x_{4} = x_3- \frac{x_3^2-1168}{2x_3}}[/tex]
[tex]\mathbf{x_{4} = 34.1760948905- \frac{34.1760948905^2-1168}{2\times 34.1760948905}}[/tex]
[tex]\mathbf{x_{4} = 34.1760149814}[/tex]
[tex]\mathbf{x_{5} = x_4- \frac{x_4^2-1168}{2x_4}}[/tex]
[tex]\mathbf{x_{5} = 34.1760149814- \frac{34.1760149814^2-1168}{2\times 34.1760149814}}[/tex]
[tex]\mathbf{x_{5} = 34.1760149813}[/tex]
The values of x4 and x5 are the same up till the 8th decimal place.
Hence, the value of [tex]\mathbf{4\sqrt{73}}[/tex] is 34.17601498
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Need help desperately, I dont want to fail. please answer
Answers
Use the distributive property to remove the parentheses.
9(6-v)
Answers
Answer:
[tex]54-9v[/tex]
Step-by-step explanation:
To remove the parentheses by using the distributive law, we need to multiply [tex]9[/tex] to each term within the parentheses.
[tex]9(6-v) = 9(6) +9(-v)[/tex]
[tex]=54-9v[/tex]
Hope this helps :)
Please Help me with this
Answers
Answer:
16X^2 - 8x
Step-by-step explanation:
A = L x W
L = x + 5 + 3x + 4x - 9 = 8x - 4
W = 2x
(8x - 4) (2x) = 16x^2 - 8x