Answer:
The probability is 0.97682
Step-by-step explanation:
We start by finding the z-values of the runner times given.
Mathematically;
z-score = (x-mean)/SD
From the question, mean = 13 seconds and SD = 0.3 seconds
So for 12.4 seconds, we have;
z = (12.4-13)/0.3 = -0.6/0.3 = -2
For 14 seconds, we have;
z = (14-13)/0.3= 1/0.3 = 3.33
So the probability we want to calculate is;
P(-2<z<3.33)
We can find this using the standard normal distribution table
Mathematically;
P(-2<z<3.33) = P(z<3.33) - P(z < -2)
Using the standard normal distribution table, the value of this is;
P(-2<z<3.33) = 0.97682
Is the function f(x) increasing or decreasing over the interval -2 < x <-1?
Answer:
increasing
Step-by-step explanation:
a function is increasing when y increases as x increases
Since the graph goes up as x increases, the function f(x) is increases between -2 and -1
X
5x – 3y = -20
4x + 5y = -2
Answer:
x=-106/37
y=70/37
Step-by-step explanation:
I chose to set up the problem as a matrix to solve here.
(Another way to do this would be to isolate one variable in one of the equations, substitute it into the other equation, solve for that, and then plug it back in to get the final variable.)
My work is in the attachment. Lmk if you have any questions.
Answer:
[tex]\huge\boxed{\left\{\begin{array}{ccc}x=-\dfrac{106}{37}\\y=\dfrac{70}{37}\end{array}\right}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}5x-3y=-20&\text{multiply both sides by 5}\\4x+5y=-2&\text{multiply both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}25x-15y=-100\\12x+15y=-6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad37x=-106\qquad\text{divide both sides by 37}\\.\qquad\boxed{x=-\dfrac{106}{37}}[/tex]
[tex]\text{Substitute it to the first equation}\\\\5\left(-\dfrac{106}{37}\right)-3y=-20\\\\-\dfrac{530}{37}-3y=-20\qquad\text{multiply both sides by (-37)}\\\\(-37\!\!\!\!\!\diagup)\left(-\dfrac{530}{37\!\!\!\!\!\diagup}\right)-(-37)(3y)=(-37)(-20)\\\\530+111y=740\qquad\text{subtract 530 from both sides}\\\\111y=210\qquad\text{divide both sides by 111}\\\\y=\dfrac{210}{111}\\\\y=\dfrac{210:3}{111:3}\\\\\boxed{y=\dfrac{70}{37}}[/tex]
Write an expression for 267 multiplied by x
Answer:
267x
Step-by-step explanation:
Multiplication means times
267 * x
267x
Answer:
267x
when you multiply a number by a variable, you can combine the terms if there is no coefficient for the variable.
Find the length of the base and the height and calculate the area
Answer:
44
Step-by-step explanation:
base = 3- -5 = 8
height = 8 - -3 = 11
1/2 bh
1/2(8)(11) = 44
Adams Company revenues are $500 on invested capital of $250. Expenses are currently 60% of sales. If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be _____.
Answer:
100%
Step-by-step explanation:
The formula to calculate the return on investment is:
ROI=(Net Profit/Total Investment)*100
Net profit=Revenues-expenses=500-(500*0.6)=500-300=200
Total investment=250-(250*0.2)=250-50=200
Now, you can replace the values:
ROI= (200/200)*100
ROI= 100%
According to this, the answer is that If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be 100%.
ASAP PLZ ANSWER!!! Can you tell me step by step to this question 8,595 ÷ 24?
Answer:
358 and remainder of 3
Step-by-step explanation:
1. Divide it like any other problem
24 goes into 85, 3 times with 13 left overBring down the 9 and 24 goes into 139, 5 times with 19 left overThen bring down the 5 and 24 goes inside 195, 8 times with 3 left overSo your remainder would be 3Hope this helps
Beth is planning a playground and has decided to place the swings in such a way that they are the same distance from the jungle gym and the monkey bars. If Beth places the swings at point D, how could she prove that point D is equidistant from the jungle gym and monkey bars?
Answer:
Following are the answer to this question:
Step-by-step explanation:
Some of the information is missing which is defined in the attached file, and the solution to this question can be defined as follows:
When the point AC ≅ BC point is in the equal distance from point A and Point B then Point A is perpendicular and the bisector point is in equally distant from the endpoints of that intersects points.
please find the attachment of the full question:
Answer:
If segment AC ≅ segment BC, then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects.
Step-by-step explanation:
What is the length of the shortest altitude in a triangle, if the lengths of the sides are 24 cm, 25 cm, 7 cm?
Answer:
The shortest altitude is 6.72 cm
Step-by-step explanation:
Given that the side lengths are
24 cm, 25 cm, 7 cm
The area of a triangle =
[tex]A = \sqrt{s \cdot (s-a)\cdot (s-b)\cdot (s-c)}[/tex]
Where;
s = Half the perimeter = (24 + 25 + 7)/2 = 28
A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²
We note that 84/7 = 12
Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7
To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude
Altitude = A/(1/2 ×base)
Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;
We set the base to 25 cm to get;
Area of the triangle A = 1/2 × base × Altitude
84 = 1/2 × 25 × Altitude
Altitude = 84/(1/2 × 25) = 6.72 cm
The shortest altitude = 6.72 cm.
A parabola has an x-intercept of -1, a y-Intercept of -3, and a minimum of -4 at x = 1.
Which graph matches this description?
Answer:
A
Step-by-step explanation:
Looking for the graph which
crosses the x- axis at x = - 1 ( x- intercept )
crosses the y- axis at y = - 3 ( y- intercept )
has a minimum value of - 4 at x = 1, that is vertex = (1, - 4) and minimum U
The required graph is A
The graph A should match the description.
Graph:Here we look the graph which crosses the x- axis at x = - 1 ( x- intercept )And, crosses the y- axis at y = - 3 ( y- intercept )Now we considered those that contain a minimum value of - 4 at x = 1, that is vertex = (1, - 4) and minimum Ulearn more about the graph here: https://brainly.com/question/19661552
Between what two consecutive integers on the number line is the graph of the sum sqrt(30) + sqrt(50)?
Answer:
sqrt(30)+sqrt(50) = 12.5482933869171364 which is between m and n 12 and 13
I really need help Please help me please
The probability that a civil servant own a car is 1/6,if two civil servants are selected at random.Find the probability that a.Each own a carb.Only one owns a car
Answer:
Step-by-step explanation: Given that a civil servant own a car is 1/6.
A) The Pr. that each own a car = Pr of each multiplied by the other.
Pr = 1/6 ×1/6
P = 1/36
B) Pr that only one owns a car
= 1/6 × (1-1/6) + 1/6 × (1-1/6)
= 1/6 × 5/6 + 5/6 × 1/6
= 5/36 + 5/36
= 10/36
= 5/18
Solve the equation for all values of x in simplest form: (x-9)^2 = 15
[tex](x-9)^2=15\\x-9=\sqrt{15} \vee x-9=-\sqrt{15}\\x=9+\sqrt{15} \vee x=9-\sqrt{15}[/tex]
Please help what are the slope and the y intercept of the linear function that is represented by the table?
Answer:
The slope is -2, the y-intercept is 12
Step-by-step explanation:
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Chose any two coordinates pair. Let's make use of:
[tex] (0, 12) = (x_1, y_1) [/tex]
[tex] (3, 6) = (x_2, y_2) [/tex]
Thus,
[tex] slope (m) = \frac{6 - 12}{3 - 0} [/tex]
[tex] slope (m) = \frac{-6}{3} [/tex]
[tex] slope (m) = -2 [/tex]
Using the slope-intercept equation, find the y-intercept, b, as follows:
[tex] y = mx + b [/tex]
Use any coordinate pair as x and y, then solve for b.
Let's use (3, 6)
[tex] 6 = (-2)(3) + b [/tex]
[tex] 6 = -6 + b [/tex]
Add 6 to both sides
[tex] 6 + 6 = - 6 + b + 6 [/tex]
[tex] 12 = b [/tex]
The slope (m) of the linear function that is represented by the table is -2, while the y-intercept (b), is 12.
Answer:
The slope is –2, and the y-intercept is 12.
Step-by-step explanation:
I used it and got it right
Find the midpoint of the segment below and enter its coordinates as an ordered pair. If necessary, express coordinates as fractions, using the slash mark (/) for the fraction bar. (-12, -3) (3, -8)
Answer:
[tex]=\left(-\frac{9}{2},\:-\frac{11}{2}\right)[/tex]
Step-by-step explanation:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\\\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-12,\:-3\right),\:\left(x_2,\:y_2\right)=\left(3,\:-8\right)\\\\=\left(\frac{3-12}{2},\:\frac{-8-3}{2}\right)\\\\=\left(-\frac{9}{2},\:-\frac{11}{2}\right)[/tex]
The base of a triangle is two times its height. If the area of the triangle is 36, then what is the height of the triangle?
We have:
h - height
b = 2h - base
A = 36 - area
so:
[tex]A=\frac{1}{2}\cdot b\cdot h\\\\A=\frac{1}{2}\cdot 2\cdot h \cdot h\\\\A=h^2\\\\36=h^2\quad|\sqrt{(\dots)}\\\\\boxed{h=6}[/tex]
Please answer quickly, what is the measure of c
===================================================
Explanation:
The only given number here is the 20 degree angle. So we'll start with that. This is an inscribed angle, which doubles to 2*20 = 40, and this is the measure of the arc the inscribed angle cuts off (inscribed angle theorem). Consequently, it means that central angle b is also 40 degrees.
With b = 40, we can see that c = 180-b = 180-40 = 140. This is because b+c = 180 as the two angles are supplementary.
Answer:
140 degrees
Step-by-step explanation:
If the given angle is 20 degrees then the other unknown angle would also be 20 degrees because this triangle is an isosceles triangle. 20+20+20=180 proving the triangle sum theorem.
If A has a 3 letter name, but the name doesn’t contain a vowel what would be A’s name?
A is vowel.
first condition prevents any vowels, thus there will be no A at all
round off 3867 in nearest 100
Answer:
3900
Step-by-step explanation:
since its to the nearest 100th we use the common rule that if the number is greater than half way then we round up otherwise if it is less then we round down. In the number 3867, 867 is greater than 850 so we round up. It becomes 3900 then.
Simplify -1-7 +41. N
Answer:
-3
Step-by-step explanation:
-7+4=-3
The absolute value of -3 is 3
The negative sign in front of the absolute value bracket makes it -3
Helpp me pleaseeeeee
Answer:
On-time Buses: 75%
Running late Buses: 13.46%
Step-by-step explanation:
Part 1: Solve for the probability of Jerry owning an "on-time" bus
Of the 48 buses that run on time, Jerry owns 36 of them. Therefore, the probability of a bus running on time being owned by Jerry will be solved with the ratio of 36 buses to 48 buses.
This is represented by the fraction 36/48. Simplifying this fraction will give us 3/4. Convert to a decimal and then multiply by 100 to get a percentage - 75%.Part 2: Solve for the probability of Jerry owning a "running late" bus
Of the 52 buses that run late, Jerry owns 7 of them. Therefore, the probability of a bus running late & being owned by Jerry will be solved with the ratio of 7 buses to 52 buses.
This is represented by the fraction 7/52.Simplifying this fraction will give us 7/52 (cannot be simplified).Convert to a decimal and then multiply by 100 to get a percentage - 13.46%.PLease help me and thank you
Answer:
Hey there!
First, let's identify the point. We always go x axis first, then y axis, so the point is at (3, 8).
From the graph, we see that it means the tree is 8 feet tall and three years old.
Let me know if this helps :)
what expression is equivalent to this Expression?
(-5cd-4)(2cd2)2
Answer:
[tex]-40c^{2} d^{2} -32cd[/tex]
Step-by-step explanation:
-20c³ is the expression which is equivalent to (-5cd⁻⁴)(2cd²)².
To simplify the given expression, (-5cd⁻⁴)(2cd²)², we can apply the power of a product rule, which states that (ab)² is equal to a²b².
Let's break down the expression step by step:
(-5cd⁻⁴)(2cd²)²
First, let's square the expression (2cd²)²:
(2cd²)² = (2)²(c)²(d²)² = 4c²d⁴
Now, we substitute this result back into the original expression:
(-5cd⁻⁴)(4c²d⁴)
To simplify further, we can multiply the coefficients and combine the variables:
(-5)(4) = -20
(c)(c²) = c³
(d⁻⁴)(d⁴) = 1
Putting it all together, the expression (-5cd⁻⁴)(2cd²)² simplifies to -20c³.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
What is the answer??
c — 10 ≥ 15
Answer:
Step-by-step explanation:
c - 10 ≥ 15 =
c ≥ = 15 + 10
c ≥ = 25
c = 26 ( or numbers above 26)
What the answer question
Answer:
P = 44Step-by-step explanation:
JK = JO = 4
MN = NO = 6 ⇒ LM = 18 - 6 = 12
KL = LM = 12
NJ = NO + OJ = 6 + 4 = 10
JL = JK + KL = 4 + 12 = 16
LN = 18
P = NJ + JL + LN = 10 + 16 + 18 = 44
Drag each tile to the correct box.
Arrange the functions in increasing order of their periods.
y=-3tan(x+2pi)
y = 2/3csc(x/4)+6
y=-1/2cos(5x/6+pi)
y=5sec(3x) +6
y =-1/3sin(x/3)
y=-10cot(x/2-2pi)
Answer:
y=5sec(3x) +6
y=-3tan(x+2pi)
y=-10cot(x/2-2pi)
y=-1/2cos(5x/6+pi)
y =-1/3sin(x/3)
y = 2/3csc(x/4)+6
The functions in increasing order of their periods are given below.
y=5sec(3x) +6
y=-3tan(x+2pi)
y=-10cot(x/2-2pi)
y=-1/2cos(5x/6+pi)
y =-1/3sin(x/3)
y = 2/3csc(x/4)+6
As y = 2/3csc(x/4)+6 gives a high value than the other, it is considered the highest.
What are increasing order and decreasing order?Ascending order way going up from small value to excessive cost and textual content from A to Z. Descending order manner arranging the numbers from largest to smallest and textual content from Z to A. while the names are arranged for a list, then it is usually arranged in A to Z order, alphabetically.
Steps to find the Period of a Function
If a function repeats over a constant period we say that is a periodic function.It is represented like f(x) = f(x + p), p is the real number and this is the period of the function.Period means the time interval between the two occurrences of the wave.Learn more about functions here: https://brainly.com/question/2833285
#SPJ2
A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint. If a can of paint contains 75 ounces of white paint, how many ounces of blue paint are in the can?
Answer:
i think 60 parts of blue paint are in the can.
Step-by-step explanation:
ratio should be equal in both cases
therefore,let blue part in second case be x(suppose)
5÷4=75÷x
by equating this we will be able to identify the value of x
and the value of x comes 60 which is the required answer....
hope this will help you..
i try my best to give correct answer..
if i am mistake, i am sorry for that...
Which of the following is the solution of 5x – 6 = 44?
O x=-10
38
X=--
5
38
X = 10
Answer:
x = 10
Step-by-step explanation:
5x - 6 = 44
Add 6 on both sides of the equation.
5x = 50
Divide by 5 on both sides of the equation.
x = 10
So, the value of x is equal to 10
Answer:
x=10
Step-by-step explanation:
5x-6=44
grouping constants and numbers with coefficient of x we get
5x=44+6
5x=50
5x/5=50/5
x=10
Graphing Linear Equations
Answer:
Kyra=15 points
Liam=20 points
30 points=y=4/3x+5
Step-by-step explanation:
I graphed each equation and point on the graph given
HOPE THIS HELPS!!! :)
PLEASE CORRECT ME IF IM WRONG
0.00000007834= blank ×10^2 in scientific notation
Answer:
7.834 × 10^-8
Step-by-step explanation:
= 7.834 × 10^-8
(scientific notation)
= 7.834e-8
(scientific e notation)
= 78.34 × 10^-9
(engineering notation)
(billionth; prefix nano- (n))
= 0.00000007834
(real number)
^ means the number after is exponent.
