Answer:
if you meant %, the answer is 2016
Step-by-step explanation:
1120 + 80% is 2016
suppose that the average price for a gallon of gasoline in the united states is 3.75 and in russia it is . assume these averages are the population means in the two countries and that the probability distributions are normally distributed with a standard deviation of in the united states and a standard deviation of in russia. a. what is the probability that a randomly selected gas station in the united states charges less than per gallon (to 4 decimals)? b. what percentage of the gas stations in russia charge less than per gallon (to 2 decimals)? c. what is the probability that a randomly selected gas station in russia charged more than the mean price in the united states (to 4 decimals)?
Using probability, we know that the left-tailed area exists at 17.87%.
What is meant by probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.So, now calculate as follows:
Let the critical value be x= $ 3.5Mean µ = $ 3.73Standard deviation σ = $ 0.25Using formula:
z = (x - µ) / σSubstitute the values in the above equation, and we obtain:
= (3.5-3.73) / 0.25Simplifying the equation, we will get:
= (-0.23) / 0.25= -0.92Finally, by using a table we calculate the left-tailed area:
P(z < -0.92) = 0.17878638 = 17.87 %Therefore, using probability, we know that the left-tailed area exists at 17.87%.
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Complete question:
The average price for a gallon of gasoline in the United States is $3.73 and in Russia, it is $3.40. Assume these averages are the population means in the two countries and that the standard deviation of $.25 in the United States and a standard deviation of $.20 in Russia. What is the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon?
Write the equation in slope intercept form:2x+y=2
Answer:
y = - 2x + 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
2x + y = 2 ( subtract 2x from both sides )
y = - 2x + 2 ← in slope- intercept form
Three-inch pieces are repeatedly cut from a 42-inch string. The length of the string after x cuts is given by y = 42-3x. Find and interpret the x- and y-intercepts. The x-intercept is 14 The y-intercept is 42 ✓ This means that after Select Choice cuts, the length of the string is Select Choice ✓ This means that the Select Select Select Choice Choice inches. inches.
1) The x-intercept lies at (1, 14), and the y-intercept lies at (3, 42).
2) This means that after 3 cuts, the length of the string is 33 inches.
3) Therefore, the 42-inch string can be cut into 14 pieces of 3 inches each.
What are the x- and y-intercepts?The x-intercept is the point on the graph where a line crosses the x-axis.
The y-intercept is the point on the graph where a line crosses the y-axis.
The x- and y-intercepts are the coordinate points for graphing data.
Thus, the x- and y-intercepts are coordinate points where the graph of a function or an equation touches the two axes.
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Determine the midpoint of segment Ed coordinates e and d are 2 and -2
Answer: Midpoint = 0
Explanation:
The midpoint of segment ED can be calculated as:
[tex]\text{Midpoint}=\frac{E+D}{2}[/tex]Where E and D are the coordinates of E and D respectively.
So, replacing E by 2 and D by -2, we get:
[tex]\text{MIdpoint}=\frac{2+(-2)}{2}=\frac{2-2}{2}=\frac{0}{2}=0[/tex]Therefore the midpoint of segment ED is equal to 0.
Ms. lange drove about 150kms east from la sarre, to senneterre, quebec. she drove another 75kms north to lebel-sur-quevillon, what is the approximate air distance from la sarre to lebel-sur-quevillon
The approximate air distance from La Sarre to Lebel-sur-Quevillon is 167.71 km.
To determine the air distance from La Sarre to Lebel-sur-Quevillon, analyze the path she has traveled.
When she drove east and drove another north, the total path she ave traveled is similar to the sides of a right triangle, where the distance from the start and end point is the hypotenuse. (see photo attached)
Using Pythagorean theorem, solve the distance from La Sarre to Lebel-sur-Quevillon.
c² = a² + b²
where a = 150 km and b = 75 km
distance² = 150² + 75²
distance² = 22500 + 5625
distance² = 28125
distance = 167.71 km
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Choose the number and type of roots of each quadratic function.
Function
f(x)=x²-9x + 21
f(x) = x² + 16x - 64
f(x) = -4x²-4x²10x +84
f(x) = 3x² + 24
The number and type of roots of each quadratic function are:
f(x) = x² - 9·x + 21, Has complex rootsf(x) = x² + 16·x - 64 has two real and distinct rootsf(x) = -4·x² + 10·x + 84 has two real and distinct rootsf(x) = 3·x² + 24 has complex rootsWhat determines the type of root that a quadratic function has?The type of roots of a quadratic function is given by the value of the discriminant, which is the value under the square root of the quadratic formula.
The types of roots of a quadratic equation are;
Two real and distinct rootsTwo real and equal rootsComplex rootsThe roots or solution to the quadratic equation, a·x² + b·x + c = 0, are given by the quadratic formula, [tex]x = \dfrac{-b\pm \sqrt{b^2 - 4\cdot a \cdot c} }{2\cdot a}[/tex]
Where:
b² - 4·a·c is known as the discriminant of the quadratic equation.
The type of root of a quadratic equation is given by the discriminant, b² - 4·a·c, as follows:
If the discriminant, b² - 4·a·c is less than 0, then the quadratic equation has no roots or no real rootsIf b² - 4·a·c = 0, then the quadratic equation has two real and equal roots (or one real root)If the discriminant, b² - 4·a·c > 0, then the quadratic equation has two real and distinct roots.The given functions are:
f(x) = x² - 9·x + 21Comparing the above equation to the, general form of a quadratic equation, f(x) = a·x² + b·x + c, we have;
a = 1, b = -9, and c = 21
The discriminant is therefore, (-9)² - 4 × 1 × 21 = -3 < 0
The quadratic equation therefore, has complex roots.
f(x) = x² + 16·x - 64The quadratic equation, f(x) = x² + 16·x - 64 has a discriminant given as follows;
The discriminant is: 16² - 4 × 1 × (-64) = 512 > 0, therefore, the quadratic equation two real roots, given by the equation;
[tex]x = \dfrac{-16\pm \sqrt{16^2 - 4\times 1 \times 64} }{2\times 1}= \dfrac{-16\pm \sqrt{512} }{2}= \dfrac{-16\pm 16\cdot \sqrt{2} }{2}[/tex]
x = -8 + 8·√2 or x = -8 - 8·√2
f(x) = -4x² + 10·x + 84The value of the discriminant is 10² - 4 × (-4) × 84 = 1444 > 0, therefore, the equation has two real and distinct roots, given by the equation;[tex]x = \dfrac{-10\pm \sqrt{1444} }{2\times (-4)}= \dfrac{-10\pm 38 }{-8}[/tex]
[tex]x = \dfrac{28 }{-8}= -3.5[/tex] and [tex]x = \dfrac{-48 }{-8}= 6[/tex]
f(x) = 3·x² + 24The discriminant of the above quadratic equation is; 0² - 4 × 3 ×24 = -288 < 0
Therefore, the quadratic equation, f(x) = 3·x² + 24, has no real roots or complex roots
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What’s 1+1 I need to know asap
Answer:
2
Step-by-step explanation:
convert 1 + the other one is 2
Answer:
2
Step-by-step explanation:
You add both numbers that have been given which are 1+1
What's the midpoint of line segment (5,10) , and (-3,6)?
Answer:
(1; 8)
Step-by-step explanation:
x = (5 + (-3))/2 = 1
y = (10 + 6) = 8
Four friends want to share a package of cookies with m number of cookies in it which expression represents the numbers of cookies each friends will get
Based on the case, we know that four friends want to share their cookies package. The number of the cookies is represent by 'm'. So, how many part for each friends will get?
We can solve the case by 'fraction'. Fractions represent the parts of a whole objects. A fraction is arranged by two parts. First, numerator is the number on the top of the line. Basically, numerator is how many equal parts of the whole objects are taken. Second, denominator is the number below the line. In the other word, denominator is the total number.
If four friends want to share the whole package of cookies, is means that the package will be divided to 4 parts. The whole part is represented by 'm'. So, the fraction form that can describe this case is each friends will get [tex]\frac{1}{4}[/tex] m.
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suppose the number of hours of sleep students get per night has a unimodal and symmetric distribution with a mean of 7 hours and a standard deviation of 1.5 hours. approximately what percent of students sleep more than 8.5 hours per night?
Approximately 34% of people sleep more than 8.5 hours per night.
According to the Empirical Rule states for a normally distributed random variable: 68% of the measures are within 1 standard deviation of the mean, 95% of the measures are within 2 standard deviations of the mean and 99.7% of the measures are within 3 standard deviations of the mean. According to the question, Mean = 7 and Standard deviation = 1.5. Also, in the question the normal distribution is symmetric, which means that 50% of the measures are below the mean and the rest 50% are above the mean. Now, the mean is 7 and 8.5 is 1 one standard deviation above the mean. So, by the Empirical Rule, of the 50% of the measures that are above the mean, 68% are within 1 standard deviation of the mean (more than 8.5 hours). So, we get
0.5*0.68 = 0.34 which is equal to 34%.
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Complete the following statement. Round your answer to the nearest percent
% of $700 = $1,400
Answer:
50
Step-by-step explanation:
Solution for 700 is what percent of 1400:
700:1400*100 =
(700*100):1400 =
70000:1400 = 50
Now we have: 700 is what percent of 1400 = 50
Solve for y:
2x+4y=32
Answer:
Step-by-step explanation:
2x+4y=32
Get Y on one side of equation by itself
(subtract 2x on both sides)
leaves 4y = 32 - 2x
Divide by 4 to get Y alone (without coefficient)
4y = 32 - 2x
4
y = 8 - 1/2x
Determine if the table below is proportional?
The table represent a direct proportional relation.
How to determine if a table represents a proportional relation
In this question we find a table with four pairs of elements that have to be tested with respect to the direct proportional formula, which is defined below:
y = k · x
Where:
x - Independent variable.y - Dependent variable.k - Constant of proportionality.The table represents a direct proportional relation if and only if there is only one constant of proportionality:
k₁k₁ = 12 / 3
k₁ = 4
k₂k₂ = 20 / 5
k₂ = 4
k₃k₃ = 8 / 2
k₃ = 4
k₄k₄ = 32 / 8
k₄ = 4
As k₁ = k₂ = k₃ = k₄, the table represent a proportional relationship.
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find a number of ways in which 4 algebra books, 5 geometry and 2 chemistry books can be placed on a shelf so that the arrangement begins and ends with a chemistry book
4 algebra books, 5 geometry and 2 chemistry books can be arranged in 5760 ways.
What is permutation?A permutation of a set is a loosely defined arrangement of its members into a sequence or linear order, or a rearrangement of its elements if the set is already ordered. The act or process of changing the linear order of an ordered set is also referred to as "permutation." A permutation is a specific arrangement of objects. Set members or elements are arranged in a sequence or linear order here. For example, the permutation of set A=1,6 is 2, as in 1,6,1. There are no other ways to arrange the elements of set A, as you can see.Given ,
4 algebra books , 5 geometry , 2 chemistry books,
The number of permutations =
2! x 5! x 4!
= (1 x 2) x (5 x 4 x 3 x 2) x (4 x 3 x 2)
= 2 x (120) x (24)
= 5760 ways.
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-1/5 = -1/2w - 1/7 solve for w and simplify your answer as much as possible
Answer:
w = (4/35)
Step-by-step explanation:
-1/5 = -1/2w - 1/7
+1/7 +1/7
-----------------------------
-2/35 = -1/2w
÷-1/2 ÷-1/2
-----------------------
4/35 = w
Extra:
-1(7) 1(5)
------- + -------
5(7) 7(5)
-7 5 -2
------- + ------- = -------
35 35 35
------------------------------------------------------------
-2 -1
------- ÷ -------
35 2
-2 -2 4
------- × ------- = -------
35 1 35
I hope this helps!
The Kansas City Chiefs are trying to figure out if there is a relationship between the number of passes thrown by Quarterback Patrick Mahomes and the total passing yards earned in each game.
Using your graphing calculator, analyze their data and then answer the 2 questions below.
Passes Thrown, [39] [35] [35] [37] and [40
Total Passing Yards [360] [235] [262] [249] [338]
• What is the linear regression equation that represents this data? Round to the nearest whole number. (worth 2 points)
Using your equation, calculate the number of passing yards the Chiefs can expect if Mahomes throws 38 passes in a game. (worth 2 points)
Explain how you calculated your answer for the expected passing yards if 38 passes are thrown. (worth 2 points)
The linear regression equation that represents this data is given as follows: y = 22x - 518.
Using this equation, when 38 passes are thrown, the expected yardage is of 318 yards.
How to find the equation of linear regression?To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.
In the context of this problem, the input and output are given as follows:
Input: number of passes thrown by Patrick Mahomes.Output: number of passing yards obtaining by Mahomes/KC.The points to be inserted in the calculator are given as follows:
(39, 360), (35, 235), (35, 262), (37, 249), (40, 338).
Hence the equation is given by:
y = 22x - 518.
With 38 passes, the expected yardage is calculated as follows:
y = 22(38) - 518 = 318 yards.
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Hello! im stuck on this math question, hope you can help!
Answer:
x = 30
Step-by-step explanation:
The sum of the interior angles of a triangle is 180
x + 65 + x + 55 = 180 Combine line terms
2x + 120 = 180 Subtract 120 from both sides
2x = 60 Divide both sides by 2
x = 30
suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205 inches. if 79 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.3 inches? round your answer to four decimal places.
The probability that the mean diameter of the sample shafts would vary from the population mean by less than 0.3 inches exists 0.0757.
How to estimate population mean?Let X the random variable that represent the diameters of interest for this case, and for this case we know the following info
Where [tex]$\mu=205$[/tex] and [tex]$\sigma=1.5$[/tex]
Let the probability be
[tex]$P(205-0.3=204.7 < \bar{X} < 205+0.3=205.3)$$[/tex]
For this case they select a sample of n = 79 > 30, so then we have enough evidence to utilize the central limit theorem and the distribution for the sample mean can be approximated with:
[tex]$\bar{X} \sim N\left(\mu, \frac{\sigma}{\sqrt{n}}\right)$$[/tex]
To simplify this problem is utilizing the normal standard distribution and the z score given by:
[tex]$z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}$$[/tex]
To find the z scores for each limit and we got:
[tex]$z=\frac{204.7-205}{\frac{1.5}{\sqrt{79}}}=-1.778$$[/tex]
[tex]$z=\frac{205.3-205}{\frac{1.5}{\sqrt{79}}}=1.778$$[/tex]
To find this probability:
P(-1.778 < Z < 1.778) = P(Z < 1.778) - P(Z < -1.778)
simplifying the above equation, we get
= 0.962 - 0.0377
= 0.9243
The interest exists the probability that the mean diameter of the sample shafts would vary from the population mean by more than 0.3 inches utilizing the complement rule we got:
P = 1 - 0.9243 = 0.0757
The probability that the mean diameter of the sample shafts would vary from the population mean by less than 0.3 inches exists 0.0757.
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Stanley runs, swims, and bikes every day. During these workouts, he runs at 9 mph, bikes at 16 mph, and swims at 2.5 mph. Yesterday, he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
(a
If Stanley swam for t hours yesterday, what was his running time?
Answer:He biked for 3 hours (48 miles)
He ran for 1.5 hours (13.5 miles)
He swam for 1 hour (2.5 miles)
He covered 62 miles in 5.5 hours of activity
Step-by-step explanation:
Answer:
1.5h
Step-by-step explanation:
2) At age 22, Joseph places $4,500 in a retirement account with a fixed annual interest rate 7%,compounded continuously. He never places any additional money in the account. What will hisbalance be at age 55 ?
lets remember what it means compound continuously,
the interest never stopped, the balance is earning interest at all time
Joseph is 22 and he wants to know how much money he will have at 55
55-22=33
his balance will gain interest for 33 years, this is our time
there is a 7% rate
the formula is
P(t)= P(0) e ^rt
our t is 33
rate=7%
Joseph will have a balance at age 55, 45,334.99 dollars
What is the effect on the graph of f (x) = |x| when the function is changed to g(x) =-2|x|
Here the graph shows reflection across x - axis by 2 units.
f(x) = |x| => g(x) = -2|x|.
Solution:Graph transformation is the process of modifying an existing graph or graphed equation to produce a variation of the following graph.The modification of algebraic equations is a common type of problem in algebra.Here given the parent function, f(x)=|x|
The translation is , g(x)= -2|x|
Which is an absolute function.
Here the transformation is .
f(x)=|x| => g(x)= -2|x|
The value of f(x) is reflecting over x- axis and value of y changes by 2 units.
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This is following statement, true or false
The lines aren't parallel since they intersect at point B.
Parallel lines never intersect.
What is the value of the expression (−3.69)0?
_____
The value of the expression (-3.69)0 is zero as any number multiplied zero times is zero.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The value of the expression (-3.69)0 is zero itself.
Anything multiplied by nothing is nothing right.
A numerical value is given which is -3.69 it is multiplied with zero, so a number multiplied zero times is obviously zero.
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Multiply and simplify completely ( 3x - 1 ) (3x + 1)
Answer:
9x^2-1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Multiply (3x - 1) * (3x + 1)
= 9(x)^2 + 3x - 3x -1
= 9(x)^2 - 1
A metal pole to hang banners and advertisements is attached to a brick
building to form a right angle. A diagonal brace is placed 5 feet below the
pole to give support. What is the length in feet of the pole?
13 ft
5 ft
The length in feet of the pole is 13 ft.
What is Pythagoras theorem?The right-angled triangle's relationship between its three sides is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The square of a triangle's hypotenuse is equal to the sum of its other two sides' squares, according to the Pythagoras theorem. Let's learn more about the Pythagoras theorem, its proofs, and its equations before moving on to cases that have been solved using the triangle and square Pythagoras theorem. The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this.
Use the Pythagorean relationship:
c²= a² + b²
= 5² + 12²
= 25 + 144
= 169
c = 13
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6 more than the difference of p and 3
Do not simplify any part of the expression.
I'm pretty sure it's 6>p-3
Please someone answer this ty! :)
Answer:373248
Step-by-step explanation:
Answer:
Step-by-step explanation:
12*6=72
72^3=373248
Cual es el producto de 3x^5 y de 2x^4
Opciones:
1)5x^9
2)5x^20
3)6x^9
4)6x^20
Which of the following is a graph of a function
Please help as soon as possible!!!!!!
teresa earned 425 dollars for working 25 hours last week what is her hourly rate
Answer: $17
Step-by-step explanation:
$425 divided by 25
Answer:
Her hourly rate is $17/hr.
Step-by-step explanation:
We can figure this out by taking the total dollars ($425) and dividing it by how many hours she spent working (25). 425 divided by 25= 17. Therefore, her hourly rate is 17$/hr.
