Answer:
Hmm, that's a tough one. I think it's 19. I'm not sure though.
Answer:
19
Step-by-step explanation:
A Banks loan officer rates applicants for credit the ratings can be described by a normal model with a mean of 200 and a standard deviation of 50. If an applicant is selected what percentage can be between 200 and 275?
Answer:
43%
Step-by-step explanation:
You want to know the percentage of applicants having a rating between 200 and 275, given that applicants have ratings normally distributed with a mean of 200 and a standard deviation of 50.
Area under the Normal PDFThe given percentage can be found using a spreadsheet, suitable calculator, or table of values of the Normal probability function. The attached calculator display shows the percentage to be ...
0.433 × 100% = 43.3%
About 43% of applicants will have a rating between 200 and 275.
How do I find the correct options for the reasons?
Answer:
Explanation:
Statement: Triangle QRT and Triangle STR are Isosceles Triangles.
Angles QRT is congruent to Angle STR.
Reason: Converse of Alternate Interior Angles
Statement: RQ=RT, TR=TS
Reason: Definition of an Isosceles Triangle
Statement: TR = RT
Reason: Reflexive Property
Statement: RQ=TS
Reason: Transitive Property
Statement: RQ||TS
Reason: Opposite sides are congruent and parallel.
Statement: QRST is a parallelogram.
Reason:
What would step 3 look like after you have added the two equations?
Adding the two equations will be adding similar terms to both equations. That is:
8x + (-8x) = 0
-10y + (-6y) = -16y
20 + (-4) = 16
Therefore, adding the two equations will look like -16y = 16. (Option 3)
Does coordinates s or coordinate t represent a greater number in the following
parallelogram?
(-2,3)
(s, -1)
(0, -1)
(t, 3)
Thus, t has a greater value than s for the co-ordinates (s, -1) and (t, 3).
How to analyze points of an axis for a two dimensional entity?
We can use the fact that both points on the x-axis to compare the values of s and t for the provided parallelogram. As a result, each point that is closest to the x coordinate reflects a higher value than its equivalent counterparts.
Given, the co-ordinates of the parallelogram are: (-2, 3), (s, -1), (0, -1),
(t, 3).
Also, the co-ordinates of the parallelogram are also shown in the figure below.
To compare for the values of s and t for the given parallelogram,
we can analyze that both s and t represent points on the x-axis, therefore any point that stands rightmost with the x co-ordinate represents a higher value than the corresponding counterparts.
Therefore, t has a greater value than s for the co-ordinates (s, -1) and (t, 3), since t is on the right side from s.
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Hello!
For a line with slope '0':
⇒ the equation is 'y = y-coordinate of point that the line passes through'
Since the line passes through (-1, -4) and has the slope of '0'
⇒ y = -4
Hope that helps!
SOMEONE HELP ME ASAP PLEASE!!!!
Find all values of n for which the equation has two complex (non-real) solutions.
3z² - 9z = (n − 3)
-
Write your answer starting with n, followed by an equals sign or inequality symbol (for
example, n < 5). Reduce all fractions.
For a quadratic [tex]ax^2+bx+c[/tex], the sign of its determinant, given by
[tex]\Delta = b^2 - 4ac[/tex]
"determines" the nature of its roots. In particular, if [tex]\Delta<0[/tex], then the quadratic has two distinct non-real roots.
Now, we have
[tex]3z^2 - 9z = n-3 \implies 3z^2 - 9z - (n-3) = 0[/tex]
with determinant
[tex]\Delta = (-9)^2 - 4\cdot3(n-3) = 117 - 12n[/tex]
Solve for [tex]n[/tex] such that [tex]\Delta<0[/tex].
[tex]\Delta = 117 - 12n < 0 \implies 12n > 117 \implies n > \dfrac{117}{12} \\\\ ~~~~ \implies \boxed{n > \dfrac{39}4}[/tex].
what is the range of the function g(x) = -(x+ 2)^2+ 4
Evaluate (10 – 41) ÷ (5 + 1).
Step-by-step explanation:
option B is correct answer
of estion Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. 60° X y 93 2 y
The 30-60-90 ratio is a special right triangle that always has angles with measures: 30º, 60º, and 90º. Its side lengths have also the same relationship one with another.
For any 30-60-90 the ratio is as follows:
The side opposite to the 30º angle has length: z
The side opposite to the 60º angle has a length z√3
The side opposite to the 90º angle has a length: 2z
Following these ratios, you can determine the side lengths of the triangle.
The measure opposite to the 60º angle is z√3 = 9√3 → From this we can determine the value of z, which is z=9
Once we know the value of z, we can calculate the values of the sides opposite to the other angles.
The side opposite to the 30º angle is y= z= 9
The side opposite to the 90º angle is x= 2z= 2*9 = 18
Rectangle ABCD is shown. What is the length of diagonal BD? Round to the nearest tenth if needed
THe diagonal, BD divides the rectangle into two right angle triangles.
BD represents the hypotenuse
BC represents the opposite side
DC represents the adjacent side
We would determine BD by applying the pythagorean theorem which is expressed as
[tex]\begin{gathered} \text{hypotenuse}^2=oppositeside^2+adjacentside^2 \\ BD^2=7^2+12^2=49\text{ + 144 = 193} \\ BD\text{ = }\sqrt[]{193} \\ BD\text{ = 13.9 } \end{gathered}[/tex]The length of the diagonal, BD is 13.9m to the nearest tenth
1.) You are one of five people who have been hired to mow the lawn at the local college. Each week, the dimensions of the plot you are responsible to mow changes. The college conducts a lottery, and whichever number is drawn, represents the x value. Your plot has a length which is five more than two times x and the width is three less than three times x. a.) What are the dimensions of your mowing plot? (2 points) Length: ______________________________________ Width: ______________________________________ x=13 meters
The dimensions of your mowing plot if x = 13 meters is;
Length = 31 meters
Width = 36 meters
How to solve Algebra Word Problems?We are told that Your plot has a length which is five more than two times x and the width is three less than three times x
This means that, the length given as words is "5 more than 2 times x" and the width given as words is "3 times x minus 3"
The expression for length would be 2x + 5
The expression for width would be 3x - 3
Now, if x = 13 meters, then we see that;
Length = 2(13) + 5 = 31 meters
Width = 3(13) - 3 = 36 meters
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May you help me the drop down options are down below
Hello! First, let's analyze the information contained in the exercise:
[tex]\frac{p}{q}>\frac{r}{s}>\frac{t}{u}[/tex]So, according to this, we also can say that:
[tex]\frac{p}{q}>\frac{t}{u}[/tex]Now, let's draw it in a line for better understanding:
Now, let's analyze the line and select the correspondent answer:
On a number line, p/q is to the right of r/s.
What does approximate value of the area of Circumference mean
Let's assume that we have a circle of radius r. Its circumference or perimeter C and its surface area A are given by the following formulas:
[tex]\begin{gathered} C=2\pi r \\ A=\pi r^2 \end{gathered}[/tex]We must find the radius or diameter of a circle where C and A are equal. Then we can construct an equation for r by equalizing A and C:
[tex]\begin{gathered} A=C \\ \pi r^2=2\pi r \end{gathered}[/tex]We can divide both sides by π and r (it is important to note that we can divide by r because we know that r is not 0). Then we get:
[tex]\begin{gathered} \frac{\pi\cdot r^2}{\pi\cdot r}=\frac{2\pi\cdot r}{\pi\cdot r} \\ r=2 \end{gathered}[/tex]AnswerSo the radius is 2 (of any unit). Then the answer is the first option.
If xy=8 inches, wy=24 inches and xz=48, The height from the ground the base of the window is ___ inches
Given:
[tex]\begin{gathered} XY=8in \\ WY=24in \\ XZ=48in \end{gathered}[/tex]To find:
The height from the ground to the base of the window.
Explanation:
Since the triangles XWY and XVZ are similar by AA similarity.
So we can write,
[tex][/tex]An object is dropped from 34 feet below the trip of the pinnacle atop a 710 fr tall building. The height h if the object after t seconds is given the equation h=-16t to the power of 2 +676 find how many seconds pass baffle the object reaches the ground
Setting h=0 and solving for t we get:
[tex]\begin{gathered} 0=-16t^2+676, \\ 16t^2=676, \\ t^2=\frac{676}{16}, \\ t^2=42.25 \\ t=\pm\sqrt[]{42.25}. \end{gathered}[/tex]Since t<0 does not have real meaning, we get that:
[tex]t=6.5.[/tex]Answer: 6.5 seconds.
please Help Asap!!!!
Lexi opened her account with less money and accrues interest at a greater rate.
What is meant by interest?
In the fields of finance and economics, interest is the payment made at a set rate by a borrower or deposit-taking financial institution to a lender or depositor in excess of the principle amount (the amount borrowed). The charge that the borrower may be required to pay the lender or another entity is not the same as interest. Interest also differs from dividends, which are distributed by businesses to their shareholders from their profits or reserves, but not at a set rate but rather on a pro rata basis as a portion of the rewards received by risk-takers when revenue generated exceeds total expenditures. The amount of interest paid or received during a specific time period divided by the total amount borrowed or lent is the rate of interest.
The correct answer is option (E):
Lexi opened her account with less money and accrues interest at a greater rate.
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the graphs with the absolute value relations they represent
Given
Answer
The graph is given by y = -3/2|x|
The graph of |y| = x/2
The graph of y = |x|
The graph of -1/2 |y| = x
5. Follow the rule to find the next three numbers in the pattern. Describe
the pattern using the terms even and odd.
Add 5: 1, 6, 11,
Any integer that cannot be divided into twos is considered an odd number. Five computers, for instance, cannot be arranged in pairs only. 5 is therefore an odd number.
The next three numbers in the pattern is 16,21,26. The pattern is odd.
What is odd and even numbers?Any integer that cannot be divided into twos is considered an odd number. Five computers, for instance, cannot be arranged in pairs only. 5 is therefore an odd number.
An even number is one that can be divided by two and leaves residue of zero. The even numbers include 2, 4, 6, 8, 10, and so on. Let's say, for instance, that you have ten chocolates. There are two groups of these chocolates that each include five chocolates. Ten is therefore an even number.
An even number is produced by adding two even numbers. In this case, 12 + 8 equals 20.
Odd numbers are created by adding odd numbers to even numbers. For example, 6 + 7 equals 13.
The outcome of adding two odd numbers is an even number. For an instance, 15 + 11 = 26.
Now for the above question,
The next three numbers: 16, 21, 26.
Number pattern is odd, because 5 is odd number.
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so far carmella has collected 14 boxes of baseball cards there are 315 cards in each box carm,ella estimsates that she has about 3,000 cards so she buys 6 albuns that hold 500 cards each.how many cards does carmella have?
Carmella has 9 albums and 4410 cards.
A unitary method is defined.The unitary approach involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units.
Due to that,
There are 315 cards in each box.
14, the number of boxes.
(b) Total number of cards is the sum of the boxes plus the number of cards in each box.
= 14 × 315
= 4410
(a) Carmella purchased a six-album set of 500 cards since she thought she had 3,000 cards. Six albums are not enough because she calculated the quantity of cards incorrectly. There are 4410 cards in total, but she thought there were only 3000.
(c). Total number of albums required = [tex]\dfrac{Total number of cards}{Number of card 1 album can hold}[/tex]
= [tex]\frac{4410}{500}[/tex]
= 8.82 ≅9
Carmella have 4410 cards, 9 albums.
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A 90% confidence interval is found to be (72, 78). What is the margin of error?
In order to find the margin of error, we need to know that the width of the confidence interval is equal to 2 times the margin of error.
The width of this confidence interval is given by:
[tex]\begin{gathered} width=upper\text{ }limit-lower\text{ }limit\\ \\ width=78-72\\ \\ width=6 \end{gathered}[/tex]If the width is 2 times the margin of error, we have:
[tex]\begin{gathered} width=2\cdot E\\ \\ 6=2\cdot E\\ \\ E=\frac{6}{2}\\ \\ E=3 \end{gathered}[/tex]The margin of error is equal to 3, therefore the correct option is D.
The value of a stock decreases by an average of 12 dollars each week. Which of the following represents the total average decrease in the stock after 4 weeks? |−12| − 4 = 8 dollars 4|−12| = 48 dollars |−12| − |4| = 8 dollars −4|12| = 48 dollars
The equation that represents the total average decrease in the stock after 4 weeks is 4|−12| = 48 dollars.
What is the total average decrease?When the value of a stock decreases, the number is a negative number. A negative number is a number that is less than zero. A negative number would have a negative sign in front of it. Thus, a $12 stock decrease would be written as -12.
The total stock decrease in 4 weeks can be determined by multiplying $-12 by 4 weeks. Multiplication is the operation that is used to determine the product of two or more numbers.
Total stock decrease = decrease per week x number of weeks
-12 x 4 = -48 or |-48| dollars
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What is the slope of the line that passes through (2,2) and (10,6)
Question Below: It's about functions
Based on the calculations, the value of function g(f(x)) is equal to: g(f(x)) = x + 10.
What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable (x-value) to an output variable (y-value).
In this exercise, you're required to determine the value of g(f(x)) and we are given the following functions:
f(x) = (x + 3)² ........function 1.
g(x) = √x + 7 ........function 2.
Next, we would substitute function 1 into function 2 as follows:
g(f(x)) = √((x + 3)²) + 7
g(f(x)) = (x + 3) + 7
g(f(x)) = x + 3 + 7
g(f(x)) = x + 10
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How can you write the expression (28 + 70) as a multiple of a sum of whole numbers with no common factor?
The expression (28 + 70) as a multiple of a sum of whole numbers with no common factor is given as
7x(4+10). This is further explained below.
What is an expression?Generally, An express is a finite combination of symbols that have been formed according to principles that rely on the context in which it is used. In mathematics, an expression is also known as a mathematical expression.
In conclusion, When expressed as a multiple of a total of whole numbers that do not have a common component, the equation (28 + 70) is written as 7 times (4 + 10).
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Operations of rational algebraic expression 3/4.9/2
The solution for the algebraic expression is [tex]3\frac{3}{8}[/tex].
The problem we are dealing with is related to the PEMDAS order of operations, where P stand for parentheses, E stands for Exponents, M stands for Multiplying, D stands for Divide, A stands for Add, and last S stands for Subtract. It's the order we follow to solve a rational algebraic expression.
For the given expression 3/4.9/2, we start solving it from the direction left to right, according to PEMDAS we multiply first followed by dividing
=3x9/4 x2
=27/4/2
=27/8
simplifying the improper fraction to a mixed number
= [tex]3\frac{3}{8}[/tex]
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A hiker began hiking from the 0-mile mark of a trail. The hiker walked at a steady rate of 214 miles per hour. Which diagram best represents this information?
The diagram which best represents the hiking track of the hiker is attached below.
Speed = Distance / Time
As time increases, speed is constant, i.e., 214 miles per hour
So, the distance increases with an increase in time.
Speed = Distance/Time
Let, Distance = D and Time = T,
214 = D / T
D = 214T
Let, D = Y coordinate, Time = X coordinate
y = 214 x→→Equation of the line passing through the origin and slope 214.
For the given situation, the equation is a linear equation and the equation will be on the y-axis.
Hence, a diagram that represents this information is:
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Find the perimeter of a square with the sides of length 9x+11 and 13x-1
The perimeter of the square has a value of 260 units
How to determine the perimeter?From the question, the given parameters are
Shape = Square
Side lengths = 9x + 11 and 13x - 1
The side lengths of a square are congruent
This means that
9x + 11 = 13x - 1
Collect the like terms in the equation
So, we have
13x - 9x = 11 + 1
Evaluate the like terms
2x = 12
Divide both sides by 2
x = 6
The perimeter of the square is then calculated as
P = 4 * (9x + 11)
Where x = 6
So, we have
P = 4 * (9 x 6 + 11)
Evaluate
P = 260
Hence, the perimeter is 260 units
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When Mr. Jackson got in his car yesterday, the odometer read 187,198.9 km. When he got home, the reading was 187,399.4 km. How far did Mr. Jackson drive?
Answer:
- 200,5
Some words for 20 symbols
Choose the graph of y = 2 cos x. (2
the expression is
y = 2cos x
when x = 0 degrees
y = 2 x cos0
y = 2 x 1
y = 2
so it is
circumference =33.5, find radius, diameter, area
(CIRCLE)
Answer: Radius = 5.33
Diameter = 10.66
Area = 89.3
Step-by-step explanation:
Circumference = 2πr
33.5 = 2πr
r = 33.5 / 2π
Diameter = 2r
Area = r²π
Area = 5.33²π