Seventy percent of the time, the length of time to find a parking space takes more than 4 minutes.
For a normally distributed set of data, given the mean and standard deviation, the probability of having the data less than a value can be determined by solving the z-score and using the z-table.
If the probability is 70%, then, using the z-table, the z-score would be -0.52485.
at p = 1 - 0.70 = 0.30 z = -0.52485
Using the formula for finding the z-score, solve for the data value, x.
z-score = (x – μ) / σ
where x = individual data value
μ = mean = 5
σ = standard deviation = 2
z-score = (x – μ) / σ
-0.52485 = (x - 5) / 2
x - 5 = -1.0497
x = 3.9503
Round off to the nearest whole number.
x = 4
Hence, 70% of the time, it takes more than 4 minutes to find a parking space.
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Subtract -9x² - x + 9 from 8x² - 6x - 8.
Answer:
17x^2-5x-17
Step-by-step explanation:
(8x^2-6x-8)-(-9x^2-x+9)
8x^2-6x-8+9x^2+x-9
17x^2-5x-17
(x+5) is a factor of R(x)=x^4+5x^3-16x^2-80x. What are the zeros of the function R(x)?
A) 2, 3, -4, -5 B) 0, 3, -3, -5
C) 0, 3, 4, -5 D) 0, 4, -4, -5 E) 0, 16, -16, -5
The zeros of the function R(x) will be 0 , 4 , -4 , -5.
The equation given to us is
[tex]x^{4}[/tex] + 5[tex]x^{3}[/tex] - 16[tex]x^{2}[/tex] - 80x = 0
Take x common
x( [tex]x^{3}[/tex] + 5[tex]x^{2}[/tex] - 16x - 80 ) = 0
from here we get one factor of x as 0.
Now
[tex]x^{3}[/tex] + 5[tex]x^{2}[/tex] - 16x - 80 = 0
It is given that x + 5) is a factor of this equation. so we will divide the equation by (x + 5).
After dividing it by (x + 5) we get [tex]x^{2}[/tex] - 16
Which can be written as [tex]x^{2}[/tex] - [tex]4^{2}[/tex] = (x + 4) (x - 4)
From here we get rest of the two roots of the equation.
Therefore four zeros of the function will be 0 , 4 , -4 , -5.
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Answer:
D) 0, 4, -4, -5
Step-by-step explanation:
Given polynomial:
[tex]R(x)=x^4+5x^3-16x^2-80x[/tex]
Given (x + 5) is a factor of R(x), use long division to find the other factor:
[tex]\large \begin{array}{r}x^3-16x\phantom{)}\\x+5{\overline{\smash{\big)}\,x^4+5x^3-16x^2-80x\phantom{)}}}\\{-~\phantom{(}\underline{(x^4+5x^3)\phantom{-b))))))))))))}}\\-16x^2-80x\phantom{)}\\-~\phantom{()}\underline{(-16x^2-80x)\phantom{}}\\0\phantom{)}\\\end{array}[/tex]
Therefore:
[tex]R(x)=(x^3-16x)(x+5)[/tex]
Factor out x from the first factor:
[tex]R(x)=x(x^2-16)(x+5)[/tex]
Apply the Difference of Two Square Formula: a²-b²=(a-b)(a+b)
[tex]\begin{aligned}\implies x^2-16&=x^2-4^2\\&=(x-4)(x+4)\end{aligned}[/tex]
Therefore:
[tex]R(x)=x(x-4)(x+4)(x+5)[/tex]
Zero Product Property
If a ⋅ b = 0 then either a = 0 or b = 0 (or both).
To find the zeros of the function, apply the zero-product property by setting each factor equal to zero and solving for x:
[tex]\implies x=0[/tex]
[tex]\implies x-4=0 \implies x=4[/tex]
[tex]\implies x+4=0 \implies x=-4[/tex]
[tex]\implies x+5=0 \implies x=-5[/tex]
Therefore, the zeros of the function R(x) are:
0, 4, -4, -5what kinds of images are based on mathematical instructions that define lines, curves, text, ovals, and other geometric shapes?
The mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics
The vector graphics is defined as the computer graphics that the visual images are created directly from geometric shapes. It is defined on the Cartesian plane such as lines, curves, texts, ovals and other geometric shapes
The vector artworks are the artwork that created by vector graphics. There will be lines curves, text, oval and other geometric shapes according to the mathematical expression
Therefore, the vector graphics is the mathematical instruction that defines the geometric shapes
Hence, the mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics
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Determine whether the quadrilateral is a parallelogram, answer Yes or No below
The quadrilateral is a parallelogram so it is Yes.
What are the properties of a parallelogram?If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:
The opposite sides are parallel and equal
The opposite angles are equal
The consecutive or adjacent angles are supplementary
If any one of the angles is a right angle, then all the other angles will be at right angle.
The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°
In conclusion, yes, the figure is a parallelogram.
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Consider the diagram shown. what is the angle of x
By using angles properties (sum of interior angles of a triangle and so) we will see that the measure of angle x is 120°.
How to get the value of angle x?Let's define C as the angle inside the triangle that is adjacent to angle x.
We can see that these two are supplementary angles, then we know that:
C + x = 180°.
We also can see that C is an interior angle of a triangle, and remember that the sum of all interior angles of a triangle is equal to 180°, then we can write
68° + 52° + C = 180°
With that equation, we can find the value of C.
C = 180° - 52° - 68° = 60°
Then.
x + C = 180°
x + 60° = 180°
x = 180° - 60° = 120°
That is the measure of angle x.
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Kayden invested $6,300 in an account in the year 2006, and the value has been growing exponentially at a constant rate. The value of the account reached $8,200 in the year 2010. Determine the value of the account, to the nearest dollar, in the year 2019.
The answer to the expositional growing account will be $14838.
What is exponential function?
The mathematical formula for an exponential function is f (x) = ax, where x is a variable and a constant known as the base of the function, which must be greater than zero. The transcendental number, or e, which is roughly equivalent to 2.71828, is the most frequently used exponential function base.
Let suppose in the xth year, the value of the money is 6300* [tex]a^{4}[/tex]
⇒8200 = 6300* [tex]a^{4}[/tex]
⇒a = 1.068
So 6300 *[tex]a^{13}[/tex]
= $14838
Hence the value of the account will be $14838.
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what's 3× (-4) × (-5)
Answer: 60
Step-by-step explanation:
first multiply like terms,
-4 x -5 = 20 [Multiplying two negative signs equal to positive]
3 x 20= 60
The point (1, 2), translated 4 units to the right, becomes (
around the origin it becomes (
becomes
not the same.
then rotated 90° clockwise
). The point (1, 2) rotated 90° clockwise around the origin
), which is
then translated 4 units to the right it becomes (
The point (2,3) translated 2 units to the right is (4,3)
Rotated 90 degrees clockwise around the origin becomes (3,-4)
Then (2,3) is translated 2 units to the right and rotated 90 degrees counterclockwise to become (3,-2). (5,-2)
What is meant by coordinates ?One of two numbers and/or letters indicating a point's precise location on a map or graph: Zoom in on the map after entering the GPS coordinates.
In two dimensions, points are represented as coordinates (x, y) with respect to the x- and y-axes. An object's x-coordinate, also referred to as the abscissa, is its perpendicular distance from the y-axis as measured along the x-axis.
The domain refers to the first coordinate, which is typically the x-coordinate, and the range refers to the second coordinate, which is typically the y-coordinate.
You do the opposite to determine a point's coordinates in a coordinate system. Starting at the point, move vertically up or down until you reach the x-axis.
The complete question is : The point (2, 3), translated 2 units to the right, becomes (___, ____), then rotated
90° clockwise around the origin it becomes (___, ____). The point (2, 3) rotated
90° clockwise around the origin becomes (____, ____), then translated 2 units to the right it becomes (___,____), which is not the same.
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A new bank customer with 5000$ wants to open a money market account. The bank is offering a simple interest rate of 1.2%.
a. How much interest will the customer earn in years?
b. What will the account balance be after years?
i will tap brainliest answer for whoever answers first
Answer:
A new bank customer with
P = $ 5000
The bank is offering a simple interes rate
r = 1.9%
a) how much interes will the customer earn in 10 years
A = P(1 + rt)
t = 10 years
Calculation:
First, converting R percent to r a decimal
r = R/100 = 1.9%/100 = 0.019 per year.
Solving our equation:
A = 5000(1 + (0.019 × 10)) = 5950
A = $5,950.00
I = A - P = $950.00
b) After 10 years the account balance will be
The total amount accrued, principal plus interest, from simple interest on a principal of $5,000.00 at a rate of 1.9% per year for 10 years is $5,950.00.
Step-by-step explanation:
A group of friends were working on a student film that had a budget of $1100. They used 45% of their budget on props. How much money did they spend on props?
A group of friends were working on a student film. The money did they spend on props is $495.
percentage :
a percentage is a number or ratio expressed as a fraction of 100or A percent is one one-hundredth (1/100) of something.It is denoted by % symbol.budget of group working on a student film = $1100
They used percentage of their budget on props. = 45%
then money spend on props is calculated as :
= 45% of 1100
= (45/100) x 1100
= 45 x 11
= $495
A group of friends were working on a student film. The money did they spend on props is $495.
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-69/-11 as a quotient
Answer: 69/11
Step-by-step explanation:
-69/-11=
-69*(-1)/(-11*(-1))=
69/11
4
Convert the mixed number to an improper fraction. -5-
5
=
Answer:
+1
Step-by-step explanation:
So, you just first multiply the denominator to whole then add to the numerator after that the denominator will remain the same and the numerator will be the remainder
suppose the family wise error rate is 0.05, if there are ten levels of one factor but only 5 comparisons are of importance, what would the individual error rate need to be for each of those 5 comparisons?
The individual error rate needs to be for each of those 5 comparisons is Option B which is 0.01.
Individual error rate = α/m = 0.05/5 = 0.01
The individual error rate is the most extreme likelihood that at least one correlation will inaccurately infer that the noticed contrast is essentially unique in relation to the invalid speculation.
Individual error rates are careful in all cases. Family error rates are careful with equivalent gathering sizes. Assuming that gathering sizes are inconsistent, the true family error rate for Tukey, Fisher, and MCB will be somewhat more modest than expressed, bringing about moderate certainty spans. The Dunnett family error rates are careful with inconsistent example sizes.
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X
The following question has two parts. First, answer part A.
Then, answer part B.
Part A
Hailey is making floral centerpieces for a wedding. Each
centerpiece has 17 flowers. She has 430 flowers for the project.
She estimates that she can make between 20 and 30 complete
centerpieces. Is her estimate reasonable?
Use your knowledge of place value and division to explain the
reasonableness of her answer.
18
▾ Math symbols
centerpieces
+
010
II
=
LA
I
08 (-)
v
X
O
>
?
+
[-]
H
Part B
How many complete centerpieces can she make? Find the
exact answer.
Some campers are starting a 7-mile hike. If they stop to take pictures every ⅕-mile, how many stops will they make?
Answer:
35
Step-by-step explanation:
I did 1/5 into a decimal which is 0.2 and then i did 7/0.2 because 7 miles and 0.2 miles they stop and then you divide them and get 35
write the standard equation for the circle with center (14,-48) and radius of 50
The standard equation for the circle with center (14,-48) and radius of 50
is [tex](x-14)^{2} +(y+48)^{2} =2500[/tex]
What is the equation of circle?Given the circle's center and radius, the equation of a circle offers an algebraic approach to describe a circle. The formulas used to determine a circle's area or circumference are different from the equation for a circle. Numerous coordinate geometry problems involving circles employ this equation.We need the equation of the circle in order to represent a circle on the Cartesian plane. If we are aware of a circle's center and radius, we can draw it on a piece of paper. Similar to this, if we know the coordinates of the Center and radius of a circle on a Cartesian plane, we can draw it. There are numerous ways to symbolize a circle:General formStandard formParametric formPolar formStandard form: [tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
Given, h =14, k = -48 and r = 50
therefore, The standard equation for the circle with center (14,-48) and radius of 50
is [tex](x-14)^{2} +(y+48)^{2} =2500[/tex]
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0.875 in 2 decimal places
Evaluate the expression when c=12 and d=112. 3(14 c2) 2d enter your answer as a mixed number in simplest form in the box.
The value of the expression is 698.
What is an expression?
A mathematical expression is a phrase containing a minimum of two numbers or variables and a minimum of one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: (Mathematical Operator, Number/Variable, Expression)
The order of operations is a rule that specifies the right procedure to follow when evaluating a mathematical equation. Using the acronym PEMDAS, we can memorize this order: parentheses, exponents, multiplication, and division (left to right), addition and subtraction (from left to right).
Given expression 3*(14+c²) +2d
3*(14+12²)+2*112
= 42+3*12²+224
= 42+3*144+224
= 42+432+224
= 698
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Graph AXYZ with vertices X(2, 4), Y(6, 0) and Z(7, 2) and its image after the composition.
Translation: (x,y) → (x-6.y)
Translation: (x, y) → (x+2y+7)
After 1st Translation (x,y) → (x-6.y) = X(-4,4), Y(0,0), Z(1,2)
After 2nd Translation (x, y) → (x+2y+7) = X(4,11), Y(8,7), Z(9,9)
What is translation?
Translation is a transformation where all points of the figure are moved the same distance in the same direction. The distance and direction are indicated by a ray sometimes called the translation vector. A vector is a quantity that has both length and direction, and can be thought of as a line segment with a starting point and an endpoint. A translation is an isometry, so the image of a translated figure is congruent to the preimage.And image After Composition means resultant image after you plot the translated points.
So, Given Vertices are X(2,4), Y(6,0), Z(7,2)
Then after 1st Translation = X(-4,4), Y(0,0), Z(1,2)
After 2nd Translation = X(4,11), Y(8,7), Z(9,9)
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Dave i packing 23 weater into boxe. Each box will hold 3 weater. How
many boxe will he need? Explain how
the remainder affect your anwer
Dave will need 8 boxes, out of which 7 will be completely full and 2 sweaters will be kept in eighth box.
Number of boxes required for 23 sweaters = total number of sweaters ÷ number of sweaters in each box
Keep the values in above mentioned formula to find the number of boxes required for 23 sweaters.
Number of boxes required for 23 sweaters = 23 ÷ 3
On performing division, we get 7 as quotient and 2 as remainder. This indicates that 7 boxes will be accomodate the sweaters and 2 indicates the remaining sweaters.
Thus, there will be need of 8 boxes in total.
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Help please! Find the slope of the line that goes through these two points.
(–6, −3), (–19, 16)
The slope of the line that goes through these two points is -19/13.
Given points:
(–6, −3), (–19, 16)
slope:
Slope is the steepness of a line as it moves from LEFT to RIGHT. Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line. The slope of a line is always constant (it never changes) no matter what 2 points on the line you choose.
slope m = y2-y1 / x2-x1
= 16-(-3) / -19-(-6)
= 16+3/-19+6
= 19/-13
= -19/13
Therefore The slope of the line that goes through these two points is -19/13.
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A one-year membership to a swim club is $170. This cost includes a $20 registration fee and 12 monthly payments. The equation 12m+20=170 can be used to find the amount m of each monthly payment. Solve the equation and interpret the solution.
The cost of a swim club membership for a year is $170. The price consists of 12 monthly payments of $20 and a $20 registration fee. From equation, the mth payment is $12.5 per month.
Finding the value m of each monthly payment can be done using the equation 12m+20=170.
To find the amount(m), solve the equation 12m+20=170.
12m=150
M = 150/12
M= $12.5
Consequently, each monthly payment will cost 12.5 in total.
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a subset bb of the set of integers from 11 to 100100, inclusive, has the property that no two elements of bb sum to 137137. what is the maximum possible number of elements in bb?
The maximum possible number of elements in B = 68.
A subset B of the set of integers from 1 to 100, inclusive, has the property that no two elements of B sum to 137.
Maximum possible number of elements in B =?
Set of integers = {1, 2, 3, 4, 5......100}
If we divide 137/2 = 68.5
If we add 68+69 = 137
So, we cannot consider number 69 in the subset, it gives us the total numbers we can consider are till 68.
Set B = {1,2,3,4,5,6,7....60,61,68}.
The maximum possible number of elements in B = 68.
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Distance (km) 10 9 8 3 2 1 0 20 40 60 Time (min) 80 100 120 Sara and Sam went for a two-hour drive. According to the graph, between 40 minutes and 80 minutes into their trip, they-- M KO a €
The correct option regarding Sara's and Sam's position between 40 minutes and 80 minutes is given as follows:
C. Were not moving since there was not a change in position.
What is stated by the graph?The graph is given by the image shown at the end of the answer, and the relation graphed is defined as follows:
Distance x Time.
Hence the input and the output variables are given as follows:
Input variable: Time.Output variable: Distance.Between 40 minutes and 80 minutes, which is a symmetric period around the time of one hour, the graph is constant.
The constant graph means that the position was not changed, that is, they were not moving, hence the correct statement is given by option C.
Missing InformationThe problem is given by the image shown at the end of the answer.
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1. Which is the solution of 8 -3(1-x) = 2(x + 1)-3? Ax=-6 B © x= D x = 9/10 6550 x=4 204
We are given the following:
[tex]8-3(1-x)=2(x+1)-3[/tex]
To solve for x, simplify both sides of the equation, then isolate the variable.
Option A; [tex]x = -6[/tex] ← Our Solution
Hope this helps!
Which problem can be solved by determining 5 ÷ 1/4?
Answer:
[tex]20[/tex]
Explanation:
[tex]5[/tex] ÷ [tex]\frac{1}{4}[/tex]
To change the division sign into a multiplication sign, you need to change (1/4) into its reciprocal.
[tex]5[/tex] × [tex]\frac{4}{1}[/tex]
[tex]5[/tex] × [tex]4[/tex]
[tex]20[/tex]
Between which two consecutive whole numbers does the length of the diagonal fall?
Which whole number is it closer to? Use the drop-down menus to show your answer.
The length of the diagonal is between 4 and 5.
What is square root of a number?
A square root of a number is a value that multiplied by itself gives the same number.
Given that;
The length of the diagonal = √18
Now,
Since, The length of the diagonal = √18
And, √18 = 4.24
Thus, The number 4.24 is lies between two whole numbers 4 and 5 as;
⇒ 4 < 4.24 < 5
⇒ 4 < √18 < 5
⇒ √16 < √18 < √25
Thus, The length of the diagonal is between 4 and 5.
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in the class of 25 students, 15 are girls. express the ratio of boys to girls in this class as a fraction. of two more boys join this class, what will be the new ratio of boys to girls? express the new ratio as a fraction
Answer:
Girls
Step-by-step explanation:
out of children there are 15 girl therefore percentage of girl = 15 x 100 =60
25
there are 60% girls in class
Name three fractions between 4/5 and 4/6
The three fractions between 4/5 and 4/6 are 49/30, 73/30 and 69/30
What is Fraction?A fraction represents a part of a whole.
We need to find fractions between 4/5 and 4/6
LCD is 30
4×6/30 + 5×5/30
24/30 + 25/30 = 49/30
The fraction between 4/5 and 49/30
4/5+49/30
LCD of 5 and 30
24+49/30
73/30
The fraction between 49/30 and 4/6
49/30+4/6
49+20/30
69/30
Hence the three fractions between 4/5 and 4/6 are 49/30, 73/30 and 69/30
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Find the number that makes the ratio equivalent to 2:3. 8:
Answer:
12
Step-by-step explanation:
You could think of ratios as fractions :
Whatever we do to the top we must do to the bottom to keep it equivalent .
If we multiply the first thing by something we must do the multiply by the same number to the second.
2 × m = 8
m = 4
3 × m = ?
m = 4
3 × 4 = 12
? = 12
So the number that makes the ratio equivalent is 12
2:3 = 8:12
Hope this helped and have a good day
