2.13786 X 10 to the power of 4 equals 21378.6
Answer:
Which answer shows 2.13786 times 10 Superscript 4 written in standard form? Option C
(C) 21,378.6 <====== Hope this helps
Step-by-step explanation:
Scientific Notation:
2.13786*10^4
Expanded Form: 21378.6
Hugo polled 100 randomly selected people to see if they had exercised that week and found that 85% said they had. Lily asked 400 randomly selected people the same question and found that 85% of them also responded that they had exercised that week. If Hugo and Lily use a 99% confidence level (z*score of 2.58), which statement is true? E = z*
- Hugo’s margin of error will be exactly 2 times as large as Lily’s margin of error.
- Lily’s margin of error will be exactly 2 times as large as Hugo’s margin of error.
- Hugo’s margin of error will be exactly 4 times as large as Lily’s margin of error. - Lily’s margin of error will be exactly 4 times as large as Hugo’s margin of error.
Hugo polled 100 randomly selected people to see if they had exercised that week and found that 85% said they had. Lily asked 400 randomly selected people the same question and found that 85% of them also responded that they had exercised that week. If Hugo and Lily use a 99% confidence level, then the true statement will be
Hugo's margin of error will be exactly 2 times as large as Lily's margin of error.
Answer:
The true statement is : Hugo’s margin of error will be exactly 2 times as large as Lily’s margin of error.
Step-by-step explanation:
[tex]\text{Margin of error : }\frac{\sigma \cdot z^*}{\sqrt n}.........,z^*=2.58\text{ for 99 percent level of confidence}[/tex]
And value of sigma is same as the response in both the cases is 85%
Hugo's margin of error : n = 100
[tex]\text{Margin of error of Hugo : }\frac{\sigma \cdot z^*}{\sqrt {100}}\\\\=0.258\times \sigma[/tex]
Lilly's margin of error : n = 400
[tex]\text{Margin of error of Lily : }\frac{\sigma \cdot z^*}{\sqrt {400}}\\\\=0.129\times \sigma\\\\=\frac{1}{2}\times 0.258\times \sigma\\\\=\frac{1}{2}\times\text{ Hugo's margin of error}[/tex]
Hence, the correct statement is : Hugo’s margin of error will be exactly 2 times as large as Lily’s margin of error.
Human body temperatures have a mean of 98.20 degrees Fahrenheit and a standard deviation of 0.62 degrees Fahrenheit. Convert 103.00 degrees Fahrenheit to a z-score and determine if it is usual of unusual. Unusual means that the z-score is more than 2 standard deviations below or above the mean.
Answer:
z-score will be: 7.741.... and it will be unusual.
Step-by-step explanation:
Human body temperatures have a mean of 98.20 degrees Fahrenheit and a standard deviation of 0.62 degrees Fahrenheit.
So here, [tex]\mu= 98.20[/tex] and [tex]\sigma= 0.62[/tex]
Formula for z-score is: [tex]z= \frac{X-\mu}{\sigma}[/tex]
Thus, the z-score for 103.00 degrees Fahrenheit will be.......
[tex]z(X=103.00)= \frac{103.00-98.20}{0.62}=7.741...[/tex]
As, here the z-score is more than 2 standard deviations above the mean, so 103.00 degrees Fahrenheit is unusual for human body temperature.
635/72=-5/4(-11/4+x)
Please help me, and show work.
What is 2350000000 written in scientific notation
2.35 * 10 raised to 6
What is the focus of the parabola given by `-(1)/(4)(y + 2)^2 = (x −1)`? A. (-1, 2) B. (1, -2) C. (0, -2) D. (0, 2)
The correct answer is that the focus is, (0,−2)
Answer:
The correct option is C.
Step-by-step explanation:
The given equation is
[tex]-\frac{1}{4}(y+2)^2=(x-1)[/tex]
Multiply both the sides by -4.
[tex](y+2)^2=-4(x-1)[/tex] .... (1)
Where, (h,k) is vertex and (h+p,k) is focus.
The standard form of a parabola is
[tex](y-k)^2=4p(x-h)[/tex] ..... (2)
From (1) and (2), we get
[tex]k=-2,h=1,4p=-4\Rightarrow p=-1[/tex]
The focus of the parabola is
[tex](h+p,k)=(1-1,-2)=(0,-2)[/tex]
The focus of the given parabola is (0,-2). Therefore the correct option is C.
At a car dealership yesterday, the ratio of minivans sold to cars sold was 3:5, I'd the dealership sold 12 minivans, how many were sold?
It's b
Hope I'm right
If minivans and cars were sold at a 3:5 ratio each day and there were 12 minivans sold yesterday they would have sold 20 cars.
You can find this by dividing 12(the number of minivans sold) by 3(the ratio of vans v.s. cars), which equals 4. To find the amount of cars sold, use the same method, only multiply with by the ration of cars. 5*4 = 20
The county fair charges $2.50 per ticket for the rides. Henry bought 15 tickets for the rides and spent a total of $55.50 at the fair. Henry spent his money only on ride tickets and far admission. The price of the fair admission is the same for everyone. Use x to represent the number of tide tickets and y to represent the total cost.
(A) Find the cost of admission to the fair. Explain how you found the cost of admission.
(B) Write a linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission.
(C) Explain what the coefficient on x and the constant of your linear equation represent.
To find the cost of admission to the fair, subtract the cost of the ride tickets from the total spent. The linear equation for cost of ride tickets and admission is y = 2.50x + 18. The coefficient represents the cost per ride ticket, while the constant term represents the cost of admission.
Explanation:(A) To find the cost of admission to the fair, we need to subtract the cost of the ride tickets from the total amount spent. Since Henry bought 15 ride tickets for $2.50 each, the cost of the ride tickets would be 15 * $2.50 = $<<15*2.5=37.5>>37.50. So, the cost of admission to the fair would be the difference between the total amount spent and the cost of the ride tickets: $55.50 - $37.50 = $<<55.50-37.50=18>>18.
(B) The linear equation to determine the cost of ride tickets and fair admission can be expressed as y = 2.50x + 18, where y represents the total cost and x represents the number of ride tickets.
(C) The coefficient on x, which is 2.50, represents the cost per ride ticket. The constant term of 18 represents the cost of fair admission.
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What pair of square numbers gives a difference of 1100
Let us assume numbers are x and y.
Difference of the squares of x and y = 1100.
We can setup an equation:
x^2 - y^2 = 1100.
We can apply difference of the squares formula: a^2-b^2 = (a-b)(a+b).
Therefore,
x^2 - y^2 = 1100 would become (x-y)(x+y)=1100.
Let us find all factors of 1100 square of those differences is 1100.
Let us take factors of 1100 as 110 and 10.
Sum should be 110 and difference should be 10.
So, we could setup two eqautions as
x+y=110
x-y=10
Adding equations, we get
2x = 120.
Dividing both sides by 2, we get
x=60.
Plugging x=60 in x+y=110, we get
60+y=110.
y=50.
Therefore, 60 and 50 pair of square numbers gives a difference of 1100.
Julie has 2 email accounts she checks one of them every two hours the other she checks every 24 hours. She checked each account on Monday at 2pm when will she check each account at the same time?
Answer:
She will checked each account on Tuesday at 2 pm.
Step-by-step explanation:
Consider the provided information.
Julie has 2 email accounts she checks one of them every two hours the other she checks every 24 hours.
In order to solve this first find the LCM of both numbers.
2 = 2×1
24 = 2×2×2×3
The LCM of 2 and 24 is 24.
Thus, she will check each account at the same time after 24 hours.
It is given that she checked each account on Monday at 2pm.
That means after 24 hours of Monday 2 pm she will again check each account at the same time.
Hence, she will checked each account on Tuesday at 2 pm.
Two thirds of a number is 18work out five ninths of the number
Can someone help me with Question 2?
The equation in undefined when the denominator is equal to 0.
The denominator is (x+5) (x+11)
Solve for the x's to make the equations equal 0:
x+5 = 0
Subtract 5 from each side:
x =-5
x+11 = 0
Subtract 11 from each side:
X = -11
There are two answers -5 and -11.
mr. Johnson was paid $190 for a job thatrequired 40 hours of work at this rate how much should he be paid for job requiring 60 hours of work
reflecting
Which segment is a reflection of segment AB over the line x = 1?
Answer: The correct answer is: (Line segment E F)
Step-by-step explanation: Took the assignment.
The segment CF is a reflection of segment AB over the line x = 1.
What is a reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.
Given:
The vertices of segment:
A(-4, 3) and B(-1, 1).
The reflection rule over the line x = 1:
(x, y) → {1-(x - 1), y)}
A(-4, 3) → A'(6, 3)
and B(-1, 1) → B'(3, 1)
Therefore, the segment is CF.
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If genie eat 1840 cal a day how many calories will she have eaten after 182 days
For this question, you need to multiply 1,840 by 182.
1,840/182 = 334,880.
:)
1st TO ANSWER BRAINLIEST MUST BE CORRECT
Which equation describes the nth term of the arithmetic sequence 7, 10, 13, 16, . . .? SHOW YOUR WORK
a. an= 3n + 4
b. an= 7 + 3n
c. an= –4n + 3
d. an= 3n – 4
Answer:
Step-by-step explanation:
(2005, 12,000) (2005, 12,000)
x1 y1 x2 y2
m= (12,250-1200) / (2010-2005) = 250/5 = 50/1 = or 50
The nth term of the arithmetic sequence 7, 10, 13, 16, ... is described by the equation an = 3n + 4, which is option (a).
To find the nth term of the arithmetic sequence 7, 10, 13, 16, ..., we need to recognize that this sequence has a common difference of 3, because each term increases by 3 from the previous term. The general formula for an arithmetic sequence is an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, and d is the common difference.
In this sequence, a1 is 7 and d is 3. Plugging these values into the general formula, we get:
an = 7 + (n - 1)*3
an = 7 + 3n - 3
an = 3n + 4
Therefore, the correct equation that describes the nth term of this arithmetic sequence is option (a): an = 3n + 4.
Nour drove from the dead sea up to amman, and her altitude increased at a constant rate. When she began driving, her altitude was 400meters below sea level. When she arrived in amman 2 hours later, her altitude was 1000 meters above sea level. Let a(t), left parenthesis, t, right parenthesis denote nour's altitude relative to sea level a (measured in meters) as a function of time t (measured in hours).
Answer:
a(t) = 700t-400
Step-by-step explanation:
Given that when Nour drove altitude increased at a constant rate. Let us consider sea level as 0 and starting time as 0 we have
At the start t =0 and a = -400 m
When t=2 a = 1000 m.
Rate of change of a wrt time = change in a/Change in time
= {1000-(-400)}/(2-0) = 700
i.e. slope = 700
a = 700 t +C
To find C:
When t =0, a =-400
Hence C =-400
Equation is a(t) = 700t-400
The subject of this question is Mathematics. The equation a(t) = 700t - 400 represents Nour's altitude relative to sea level as a function of time.
Explanation:The subject of this question is Mathematics.
Nour's altitude can be represented as a linear function of time. Let's denote Nour's altitude relative to sea level a(t) as a function of time t. We know that initially, her altitude was 400 meters below sea level, and 2 hours later, her altitude was 1000 meters above sea level.
To find the equation of the line, we can use the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. The slope is determined by the rate of change of altitude per unit of time.
Since her altitude increased at a constant rate, we can find the slope by taking the difference in altitude and dividing it by the difference in time:
Difference in altitude = 1000 - (-400) = 1400 metersDifference in time = 2 - 0 = 2 hoursThe slope of the line representing Nour's altitude is therefore 1400/2 = 700 meters per hour. The equation of the line can be written as: a(t) = 700t - 400, where t is the time in hours.
In conclusion, the subject of this question is Mathematics and it is suitable for High School students. The equation a(t) = 700t - 400 represents Nour's altitude relative to sea level as a function of time.
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Please Help! Graph f(x)=1/2x+2.
Replace X with a couple different numbers, solve the equation for the y value:
IF X = 2, then y would be 1/2(2) +2 = 1+2 = 3
so the first point would be on (2,3)
X = 4, y = 1/2(4) + 2 = 2+2 = 4
The second point would be on (4,4)
Plot those two points and then draw a line thought both points.
The graph of the function [tex]f(x) = \frac{1}{2}x + 2[/tex] is plotted below
The given equation is :
[tex]f(x) = \frac{1}{2}x + 2[/tex]
This can be written in the form:
f(x) = mx + c
Above is the slope-intercept form of the equation of a line with:
slope represented as m
y-intercept represented as c
Comparing [tex]f(x) = \frac{1}{2}x + 2[/tex] with f(x) = mx + c
m = 1/2, c = 2
Plot the graph when m = 1/2 and c = 2
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ok ok THIS is the part 2 to my last question
[tex]a_1=4\\\\a_2=4+6=10\\\\a_3=10+6=16\\\\a_n=a_{n-1}+6,\ a_1=4[/tex]
Which statement is not true about General Edward Braddock?A.He captured Fort Duquesne.B.He was killed in battle.C.He did not respect colonial soldiers.D.He ignored early early warnings
Answer:
A. He captured Fort Duquesne.
Step-by-step explanation:
General Edward Braddock was fatally injured in the battle field and died of wounds. He insisted upon using open field tactics which turned out to be very fatal leading to the death of 1000 soldiers. He did ignore the early warnings of his aides regarding his strategy.
A British force led by General Edward Braddock, moving to take Fort Duquesne, was defeated by a force of French and Canadian troops under Captain Daniel Liénard de Beaujeu with its American Indian allies.
Consequently, he failed to capture Fort Duquesne. So statement A is not true.
An investment firm wants to create a billboard that displays an enlarged $1,000,000 bill. The actual size of the bill is 2.61 inches by 6.14 inches. If the billboard is 48 feet wide, what's the scale of the bill to the billboard?
A. 1′ = 8.71″
B. 1′ = 7.81″
C. 1″ = 8.71′
D. 1″ = 7.81′
We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you must divide the final width of the billboard between the current width of the invoice.
We know both data, then we perform the operation:
48 feet /6.14 inches = 7.81 feet / inches
Therefore the correct answer is option D. 1″ = 7.81′
For the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet long per inch long that has the original image.
Solve the equation 3x+4y=12 for y
3x+4y=12
subtract 3x
4y=12-3x
divide by 4
y=3x/4+3
The equation solved for y is y = (-3/4)x -3.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equation is 3x + 4y = 12.
3x + 4y = 12
4y = -3x - 12
y = (-3/4)x -3
Hence, the equation solved for y is y = (-3/4)x -3.
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Which formula can be used to determine the total number of different eight-letter arrangements that can be formed using the letters in the word DEADLINE?
A.
8!
B.
8!/4!
C.
8!/2!+2!
D.
8!/2!*2!
I think the answers D but im not sure
Answer:
Option D
Step-by-step explanation:
See the letters in the word deadline.
We have d and e repeated twice , and a,l,i,n once.
There are in total 8 letters
These 8 letters can be arranged in 8x7x6...1 = 8! ways
But since there are repititions of letters, we have 2! x 2! times repeated letters.
Hence we have to divide by 2!x2!
No of ways = [tex]\frac{8!}{2!*2!}[/tex]
Option D is right
John says the transformation rule (x, y) > (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?
If he used the rule (x + 4, y + 7) then pre-image (4, 5) would result in image (4 + 4, 5 + 7) = (8, 12).
He should have used the rule (x - 4, y - 7)
The cost of a lamp has increased by 30% to ?65. Work out the original price
Final answer:
To find the original price of a lamp that costs £65 after a 30% increase, divide £65 by 1.3 to obtain the original price, which is £50.
Explanation:
To calculate the original price of the lamp before the 30% price increase, we must consider the final price of £65 as being 130% of the original price since the increase is an addition to the original 100%. To find the original price (100%), we divide the final price by 130% (which is 1.3 in decimal form) and then multiply by 100% (which is represented as 1 in decimal form).
Here's the method in steps:
Convert the percentage increase to decimal form: 30% = 0.3.Add this decimal to 1 to represent the total percentage in decimal form: 1 + 0.3 = 1.3.Divide the final price by this total percentage: £65 ÷ 1.3.The result is the original price of the lamp.Let's do the calculation:
£65 ÷ 1.3 = £50
Therefore, the original price of the lamp was £50.
please answer all of them with work will give brainliest
E. n = 3
N. x = -6
A. x = 4
H. t = 10
E. v = -5
I. x = -8
T. y = 2
A. m = -16
Y. k = 7
S. x = -1
T. d = -12
F. u = 29
C. y = 1
E. 20n - 28 =10n+2
10n= 30
n=3
N. 9x+27 =4x-3
5x = -30
x= -6
A. 24-16x =x-11x
24 = 6x
x= 4
H . 3t + 16t-48= 2+14t
5t =50
t= 10
E. 2v+18= 16 -4v -28
6v = -30
v=-5
I. 4x-9 +3x=8x-1
x=8
T. 24+12y =10y+40
2y =16
y=8
Marla believes she has a 3/8 probability of being selected to head a committee. What is the probability that she won't be selected to head the committee?
A) 3/8
B) 1/2
C) 5/8
D) 3/4
**PLEASE HELP 30 POINTS**
How many different sets of two-letter initials can you make using the letters D, G, M, D, and T if you can use each letter only once in a set?
what is the value xy under w if x=-3 y=4 and w=-6
[tex]\frac{w}{xy} = \frac{-6}{-3(4)} = \frac{-6}{-12} = \frac{1}{2}[/tex]
Answer: [tex]\frac{1}{2}[/tex]
PLEASE PLEASE PLEASE HELP ME! BRAINLEST!
Given: ABCD ∥gram,
BK ⊥AD ,
AB ⊥BD
AB=6, AK=3
Find: m∠A, BK, and the area of ABCD
I mean m<A=60 and BK=3 root 3 but idk what the area is. PLEASE HELP
Answer:
1) m∠A=60°
2) [tex]BK=3\sqrt{3}[/tex]
3) The area of ABCD is 62.35
Step-by-step explanation:
1) - You can calculate the angle m∠A as following:
[tex]cos^{-1}(\alpha })=\frac{adjacent}{hypotenuse}\\adjacent=3\\hypotenuse=6\\[/tex]
- Substitute values and solve for the angle. Let's call the angle m∠A "[tex]\alpha[/tex]"
[tex]cos^{-1}(\alpha )=\frac{3}{6}\\ \alpha =60[/tex]
2) Apply the Pythagorean Theorem to find BK:
[tex]BK=\sqrt{6^{2}-3^{2}}=3\sqrt{3}[/tex]
3) - If you analize the figure, you can see that the triangle ABD and the triangle BCD are the same triangle, both are equal, therefore both have the same area.
- Then, you can calculate the area of ABD and multiply it by 2 to calculate the area of ABCD. The area of a triangle is:
[tex]Area=\frac{(base)(height)}{2}[/tex]
- The area ABD will be the sum of the area of the triangle ABK and the area of the triangle KBD.
- First, you must calculate the angle m∠D using the triangle ABD, which is a right triangle. The sum of the interior angles of a triangle is 180°. You know the angles m∠A (60°) and m∠B (90°), therefore:
[tex]60+90+D=180\\D=30[/tex]
m∠D=30°
- Now, you can calculate KD:
[tex]tan(30)=\frac{3\sqrt{3}}{KD}\\KD=9[/tex]
- The area of ABCD is:
[tex]A_{ABCD}=2(A_{ABK}+A_{KBD} )[/tex]
[tex]A_{ABCD}=2(\frac{(3)(3\sqrt{3})}{2}+\frac{(9)3\sqrt{3}}{2})\\A_{ABCD}=62.35[/tex]
Is the function even odd or neither
Answer: Neither
The function is not even because it doesn't have y axis symmetry. In other words, reflecting it over the vertical y axis means it doesn't line up with itself. The left half is different from the right half.
The function isn't odd either. Why not? Because rotating it 180 degrees around the origin has the function curve looking completely different. A point like (3,6) will rotate to (-3,-6) which is not on the orange curve. This is just one counter-example as to why the function is not odd.
In mathematics, a function is classified as Odd or Even based on its symmetry. An Even function has symmetry about the y-axis while an Odd function has rotational symmetry. A function could also be neither even nor odd if it doesn't meet these criteria.
Explanation:In mathematical terms, a function can be classified as Even if it meets the criteria of y(x) = y(-x), meaning it has symmetry about the y-axis. A function is classified as Odd if it meets the criteria of y(x) = -y(-x), meaning it is the mirror image of itself about the origin, or it has rotational symmetry.
Let's take some examples: even function is the square function x², and an odd function is the cubic function x³. The combination results could vary: an even function times an even function results in an even function, an odd function times an odd function results in an even function, whereas an odd function times an even function results in an odd function.
However, it's important to note that a function could also be Neither even nor odd. This happens if the function does not meet any of the above-mentioned criteria for even or odd functions.
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