Answer:
variance = 1.66 hours
Step-by-step explanation:
It is given that,
The standard deviation from the National Health and Nutrition Survey is 1.29 hours.
We need to find the variance. We know that the relationship between the variance and the standard deviation is given by :
[tex]\text{Variance }=\text{standard deviation}^2\\\\\text{Putting all the values, we get :}\\\\\text{Variance }=(1.29)^2\\\\\text{Variance }=1.664\ \text{hours}[/tex]
or
Variance = 1.66
So, the variance is 1.66 hours.
Solve the following quadratic equation by factorising: 15x^2 + 2x - 8 = 0
Can a decimal that has repeating digits after the decimal point be converted into a fraction?
Answer:
yes, because you need to convert the repeating number into a decimal. In this case, you can assume that x is the fraction form of 0.7 repeating.
Answer:
yes I think so ...................
What is the measurement of MJL ??
Can u help me asap please
Answer:
It is for sure a rational # , and whole #, but possibly also a natural#
Step-by-step explanation:
Round 555 to nearest 10
Answer: 600
Step-by-step explanation: 555
The five in the tens place is equal to 5
To round to the nearest tens place the number has to be 5 or more than 5
multiple and divide signed numbers
Answer:
the answer is 9
Step-by-step explanation:
t a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 500 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So the number of pounds of grapes produced per acre is modeled by
A(n) = (500 + n)(10 − 0.01n)
where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production.
Answer: Grape production is maximized for 150 vines planted
Step-by-step explanation:
Which of the following best represents an elevation of 0 feet? A. a mountain top B. a beach C. a sea trench
Answer:
the answer is b) The beach
Answer:
b
Step-by-step explanation:
it's obious
The graph of the function y=f(x) is shown below. What are the values of a,b,c, and d in the definition of f(x) below?
9514 1404 393
Answer:
(a, b, c, d) = (2, -3, -2, 2)
Step-by-step explanation:
The horizontal segment where y=3 extends from x = -2 to x = 2. These are the values of c and d, respectively.
The slope of the left piece is up 2 for over 1, so is 2/1 = 2, the value of a.
The slope of the right piece is down 3 for over 1, so is -3/1 = -3, the value of b.
So, we have ...
a = 2b = -3c = -2d = 2Explain how you could use either multiplication or division to solve the same equation.
Answer:
Multiply By Decimal
Step-by-step explanation:
If you multiply a number by a decimal you get the same outcome that you would if you would have divided it
The surface of each crystal has an area of
1,000,000,000
square meters. Write this number using a negative
exponent.
Answer:
10,000,000,000 × 10^-1, 1/1,000,000,000^-1
Step-by-step explanation:
Im not sure what you are asking
Suppose that you borrow $11000 for 4 years at 6% toward the purchase of a car. Find the monthly payments and the total interest for the loan.
Answer:
The monthly payments ≅ $258.335
The total interest of the loan ≅ $1400.095
Step-by-step explanation:
The rule of the monthly payments is
[tex]M.P=\frac{P(\frac{r}{n})}{1-(1+\frac{r}{n})^{-nt}}[/tex] , where
P is the initial amountr is the rate in decimaln is the period in a yeart is the number of years∵ You borrow $11000
∴ P = 11000
∵ It will be for 4 years
∴ t = 4
∵ The rate is 6%
∴ r = 6% = [tex]\frac{6}{100}[/tex] = 0.06
∵ It is a monthly payment
∴ n = 12
→ Substitute these values in the rule above
∴ [tex]M.P=\frac{11000(\frac{0.06}{12})}{1-(1+\frac{0.06}{12})^{-12(4)}}[/tex]
→ Use your calculator to find the answer
∴ M.P = 258.3353195
∴ The monthly payments ≅ $258.335
→ The total interest of the loan is the difference between the total
of the monthly payments and the initial amount
∴ The total interest of the loan = T.M.P - P
∵ The total of the monthly payments = M.P × t × n
∴ The total of the monthly payments = 258.3353195 × 4 × 12
∴ The total of the monthly payments = $12400.09534
∵ The initial amount P = $11000
∴ The total interest of the loan = 12400.09534 - 11000
∴ The total interest of the loan = 1400.095
∴ The total interest of the loan ≅ $1400.095
Denise spent $56.48 at the grocery store while Michael spent $74.06. How much more money did Michael spendthan Denise?A.$17.58B.$37.03C.$65.27D.$130.54
Answer:
A 17.58
Step-by-step explanation:
What is the answer to an addition problem called
-1/6 + -3/7 =
Please need answers ASAP and please explain how to do it as well thanks
Answer:
-25/42
Step-by-step explanation:
you need to make the denominators equal, so find a number that is divisible by both 6 and 7 (i chose 42 because it’s the first number that comes to mind) you then multiply the numerator by the same number.
so -1/6 is multiplied by 7 on top and bottom to become -7/42, and -3/7 is multiplied by 6 of top and bottom to become -18/42.
then you add them together and you get -25/42
if possible you would simplify but for this one it’s not :)
Answer:
Negative Twenty Five over Forty Two.
Step-by-step explanation:
Hey, It looks like you just have to add two fractions. i.e Negative One Sixth (-1/6) and Negative Three Seventh (-3/7).
First Step: Make the denomimators the same.
-1/6 will become -7/42
-3/7 will become -18/42
Second step: Add the two fractions.
-7/42 + -18/42 = -25/42
So there is your answer: -25/42
|2x+1| < 5
help please
Answer:
3
Step-by-step explanation:
Answer: x=2 and x=-3
Step-by-step explanation:
|2x+1|=5>|2x+1|=-5
2x+1=5 > 2x+1=-5
2x+1-1=5-1 > 2x+1-1=-5-1
2x=4 > 2x=-6
2x÷2=4÷2 > 2x÷2=-6÷2
x=2 > x=-3
Need help with this problem and a step by step explanation
if x=-3 is the only x-incercept of the graph of a quadratic equation which statement best describes the discrinant of the equation
Answer:
The discriminant must be zero.
Step-by-step explanation:
Quadratic Equation
The standard representation of a quadratic function is:
[tex]f(x)=ax^2+bx+c[/tex]
where a,b, and c are constants.
The zeros, roots, or x-intercepts can be found by solving the equation:
[tex]ax^2+bx+c=0[/tex]
We can use the quadratic formula to find the roots:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Note this formula gives us two different roots if the square root is non-zero.
The only way there can be only one x-intercept is because the square root is zero.
If the square root is zero, then
[tex]b^2-4ac =0[/tex]
The expression is called the discriminant.
Thus, if x=-3 is the only x-intercept of the graph of a quadratic function, then the discriminant must be zero.
A plane begins its takeoff at 2:00 P.M. on a 1700-mile flight. After 11.5 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 100 miles per hour.
Answer:
turbulance
Step-by-step explanation:
What is the place value of 7 in 0.724 rounded.
The place value of 7 in 0.724 = 7 tenths or 7/10 or 0.7
The place value of 2 in 0.724 = 2 hundredths or 2/100 or 0.02
The place value of 4 in 0.724 = 4 thousandths or 4/1000 or 0.004
Therefore , the place value of 7 in 0.724 is 7 tenths or 7/10 or 0.7 ( as all are the same ) .
Irina ran 0.25 mile in 2 minutes. At this rate, how many minutes will it take her to run 2 miles?
Enter the correct answer in the box.
Answer:
16
Step-by-step explanation:
2/0.25 = 8
2 x 8 = 16
Solve: 5x - 14 = 8x + 4
What is the distance, d, between the points (2,5/2) and (8/3,1)?
Enter your answer in the box. Enter your answer in simplest radical form.
Answer:
um 3 5/4
Step-by-step explanation:
The distance, d, between the points (2,5/2) and (8/3,1) will be; 1.6415 units.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²]
So, we will use the distance formula:
Let (2, 5/2) be (x₁, y₁) and let (8/3, 1) be (x₂, y₂).
Now Substitute:
D = √[(1 - (5/2))² + (8/3 - 2)²]
Evaluate the expressions within the parentheses;
D = √[(1 - (5/2))² + (8/3 - 2)²]
D = √[(-3/2)² + (2/3)²]
Evaluate:
D = √[9/4 + 4/9]
Square:
D = √97/6
Hence, the distance, d, between the points (2,5/2) and (8/3,1) will be; 1.6415 units.
Learn more about distance between two points here:
brainly.com/question/16410393
#SPJ2
divide 8/10 ÷ 1 5/6 and put it in its simplest form
Answer
24/55 as a fraction
The solution of the given equation is 24/55
What is Division method?
Division method is used to distributing a group of things into equal parts.
Given that;
The equation is,
8/10 ÷ 1 5/6
Now,
Solve the expression as;
= 8/10 ÷ 1 5/6
= 8/10 ÷ 11/6
= 8/10 x 6/11
= 48/110
= 24/55
So, The solution of the given equation is 24/55.
Learn more about the division visit:
https://brainly.com/question/28783040
#SPJ5
ANGLES IN TRIANGLES WORKSHEET
Answer:
x = 26
Step-by-step explanation:
90 + 52 + unknown angle = 180
142 + unknown angle = 180
unknown angle = 38
unknown angle + 116 + x = 180
38 + 116 + x = 180
154 + x = 180
x = 26
Step-by-step explanation:
Click here
Thanks guys :)
Mwhehe
Does anyone know the answer to the question
Answer:
The root of that equation are -1 -4 and 5
so the equation is (x -5) * (x +1) * (x +4)
(I may have that wrong and the answer MIGHT be:
(x -+5) * (x -1) * (x -4)
So, you have 2 answers and I KNOW 1 of those is correct. :-)
Step-by-step explanation:
If you double 4 and if you double 1/2 then add 1, add 8 +1
Answer:
19?
Step-by-step explanation:
double of 4 is 8, double of 1/2 is 1 and adding them all together is 19
can sommeone please answer this
Answer:
x= 8
z= 116 degrees
Step-by-step explanation:
the two given angle measures are vertical angles so they are equal to each other, the equation is: 12x-32 = 11x-24
simplify this to get: x= 8
plug the value of x into either of the given equations, I will use the first one: 12(8) - 32
this means that the angle of one of them is 64
and since z and 12x-32 make a straight angle (180 degrees)
you can subtract 64 from 180 to find z
this gives you 180-64 = 116
Javier rounded to the nearest half to estimate the product of 3 2/5 and -3 7/8. How do the estimate and the actual product compare Word problem
Answer:
Step-by-step explanation:
whats 10 to the power of 9 as a decimal
Answer: 1,000,000,000
10⁹ cannot be written in decimal form.
Plz mark brainliest:)