Answer:
the probability that randomly selected applicants over 10 years of experience is 0.6791
Step-by-step explanation:
The computation of the probability that randomly selected applicants over 10 years of experience is as follows:
Total would be
= 187 have 10 + years experience
Now
P(graduate | 10+) = (graduate and 10+ years experience) ÷ (10 + years of experience)
= 127 ÷ 187
= 0.6791
Hence, the probability that randomly selected applicants over 10 years of experience is 0.6791
Doug drew two identical triangles. He wants to prove the converse of the Pythagorean Theorem by using both triangles. The first triangle has side lengths of 12 cm, 16 cm, and 20 cm, such that 122 + 162 = 202. Using the converse of the Pythagorean Theorem, enter the length of the side opposite the 90° angle of the second triangle.______cm
Answer:
Answer is explained in the explanation section
Step-by-step explanation:
Solution:
Converse of the pythagorean theorem helps us to check whether a triangle is a right triangle or not. Converse of the pythagorean theorem is simply the opposite of the pythagoren theorem. Pythagorean theorem states that, if triangle is right triangle, then [tex]a^{2} + b^{2} = c^{2}[/tex]. On the other hand, Converse of the Pythagorean theorem states that, if [tex]a^{2} + b^{2} = c^{2}[/tex], then triangle is a right triangle.
Pythagorean theorem = [tex]c^{2} = a^{2} + b^{2}[/tex]
Converse of the pythagorean theorem = [tex]a^{2} + b^{2} ? c^{2}[/tex]
First of all let's check the first triangle is right triangle or not.
a = 12
b= 16
c= 20
So,
[tex]a^{2} + b^{2} = c^{2}[/tex].
144 + 256 = 400
400 = 400
Yes, 1st triangle is no doubt a right triangle. On the other hand, we are given that 2nd triangle = right triangle as we are given the 90 degree angle already. Here, we know that triangle is a right triangle
hence, [tex]a^{2} + b^{2} = c^{2}[/tex]. will surely be there.
Now, we have find out the side opposite to the 90 degrees angle, which is c.
we also know that, right triangles sides follow the pattern of 3x,4x and 5x
Since, c is the longest side.
Hence, c= 5x
This table shows a proportional relationship. х y Complete the equation that represents the table. - 4 - 6 Enter your answer as a decimal in the box. -2 3 0 0 y = Х 8. 12
Answer:
y = 1.5x
Step-by-step explanation:
An equation that represents a proportional relationship can be written as y = kx.
Where,
k = constant of proportionality or unit rate = y/x
Using a pair form the table of values, say (-2, -3),
k = y/x = -3/-2 = ³/2 = 1.5
Substitute k = 1.5 into y = mx
The equation that represents the table would be:
y = 1.5x
The proportionality constant is 2/3 and the required equation is y = 2/3x
Tables and valuesThe standard equation of a line is expressed as y = mx + b
where:
m is the slope of the line
b is the intercept
From the given question, we are to find the rate of change (slope) from the give table.
USing the coordinate points from the table (-2, 0) and (-3, 0)
Also recall that;
y = kx
-2 = k(-3)
k = 2/3
Hence the proportionality constant is 2/3 and the required equation is y = 2/3x
Learn more on rate of change here: https://brainly.com/question/8728504
find the measure of the angle indicated with a?, and enter the number only
9514 1404 393
Answer:
45°
Step-by-step explanation:
Arc YZ is the difference between the given arcs and 360°:
126° +144° +YZ = 360°
YZ = 360° -270° = 90°
The inscribed angle (?) is half the measure of the arc it intercepts:
? = 90°/2
? = 45°
a circle has a diameter of 7.6 feet
In a survey, 48% of the people questioned said they watch sports on television. Were there more people who said they watch sports or more who said they do not?
Answer:
more people said they do not watch sports
Step-by-step explanation:
Becasue 52 percent say they dont watch
Find the difference write the answer in simplest form 11/18 -1/6
Answer:
4/9
or
0.4
Step-by-step explanation:
Tyler mows 7 lawns every week. He earns $10 for mowing each lawn. How much will he earn in 6 weeks?
Answer:
The Answer Would Be $420
Step-by-step explanation:
time 7 by 10 and get 70,
times 70 by 6 to get your final answer of $420
If three-fifths of seventh-grade class has missed at least one day of school, what percentage of 7th grade has missed at least a day of school?
The percentage of 7th grade class who has missed at least a day of school is 60 percentage.
What is percentage?
A percentage is a number or ratio expressed as a fraction of 100.
It is usually represented by using the symbol %
Given data ,
Fraction of 7th grade class that missed at least one day of school = 3 / 5
Now , to calculate the percentage of 7th grade that has missed at least one day of school , we multiply the fraction by 100
Therefore , Percentage = 3 / 5 x 100 %
= 3 x 20 %
= 60 %
Hence , the percentage of 7th grade class who has missed at least a day of school is 60 percentage.
To learn more about percentage click :
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Alexandra’s soccer team played 25 games and won 22 of
them. What percent did the team win?
Answer:
88%
Step-by-step explanation:
25*4=100. this means we have to multiply 22*4, which gets us 88%
Answer:
0.88%
Step-by-step explanation:
25 divided by 22
LESSON 7 DEVELOP
MODEL IT: PLACE-VALUE CHARTS
Use place-value charts to show multiplying and dividing by powers of 10.
3 Complete each row with the product shown to the right of that row.
Ones
Tenths
Hundredths
Thousandths
.
0
0
0
5
.
0.005 X 10'
0.005 X 102
0.005 X 10
4 Complete each row with the quotient shown to the right of that row.
Ones
Tenths
Hundredths
Thousandths
DIS
5
0
.
0
0
5 + 10
How
digits
the do
when
5 - 102
any d
5 - 10
I thin
2. Which equation is true when x=3?
A. 8x = 28
B. X - 19 = 16
C. 28 + x = 25
D. S =1
Answer:c
Step-by-step explanation:
what is the value of x?
Answer: The horizontal value in a pair of coordinates how far along the point is. The X Coordinate is always written first in an ordered pair of coordinate (x,y), such as (12, 5).
Step-by-step explanation: Hope This Helps :)
For a example, the value 12 is the X coordinate. And Also called Abscissa.
Please help with this
Answer:
Alternate interior angles or
Congruent
Step-by-step explanation:
Angle 3 and angle 6 are alternate interior angles
Alternate interior angles are congruent
PLEASE HELP!!!! Liner equations & graphs!!! I REALLY NEED HELP W THIS !!!!
Answer:
line X
Step-by-step explanation:
Rita earns 44dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells.
Let A be the amount (in dollars) that Kala earns in a week if she sells B books.
Write an equation relating A to B. Then use this equation to find the amount of money Rita earns if she sells 35books.
Equation:
Amount Rita earns if she sells 35books: dollars
The graph below shows the distance, y, that a car traveled in x hours:
A graph is shown with x axis title as Time in hours. The title on the y axis is Distance Traveled in miles. The values on the x axis are from 0 to 5 in increments of 1 for each grid line. The values on the y axis are from 0 to 225 in increments of 45 for each grid line. A line is shown connecting ordered pairs 1, 45 and 2, 90 and 3, 135 and 4, 180. The title of the graph is Rate of Travel.
What is the rate of change for the relationship represented in the graph?
90
45
fraction 1 over 45
fraction 1 over 90
Answer:
45
Step-by-step explanation:
because it increases by 45 each hour
sorry i was late
:(
find the value of
tan 45º . tan- 30° tan 60°
Answer:
Find the exact value of tan 45º = 1/1 = 1.
Find the exact value of cos 30º = √3/2.
Find the exact value of csc 60º = 2√(3)/3
Step-by-step explanation:
math
Question 16 please help me
Solve the inequality:
Please select the best answer from photo of choices provided.
Answer:
b. h>-4
Step-by-step explanation:
Remember solving a inequality is similar to solving an equation, to do so you need to isolate the variable.
[tex]\frac{3}{2}h+12\geq 6[/tex]
To solve first subtract 12 from both sides
(3/2)h>-6
Then, multiply both sides by (2/3)
h>-4
An isosceles triangle has two sides of length n where n is an integer greater than 1. What is the smallest possible integer length of the third side?(1 point)
⌊n/2⌋+1
n−1
1
0
Answer:
1
Step-by-step explanation:
The answer is 1 because of the triangle inequality theorem. In order for the shape to be a triangle, two of the sides need to be smaller than one. The two sides we know of is n, n is equal to an integer greater than 1. So, in order for the triangle to be a triangle, the third side has to be at least 1. I also had the same question on my assignment.
IT 40 POINTS SO PLZ HELP ITS 5 QUESTIONS PL ANSWER THEM ALL
How can a number line help in ordering rational numbers:
How are number lines and the coordinate plane related:
Does the order of the numbers in an ordered pair matter when naming a point? Can that point be represented by more than one ordered pair?
A point is reflected across the x-axis. The new point is located at (4.75, -2.25). Write the ordered pair that represents the original point. Explain.
A point is reflected across the x-axis. The new point is (5, -3.5). What is the distance between the two points? Explain.
Answer:
1: It places them in an order sequentially relative to each other.
2: Number lines show the location of a number relative to each other on a one dimensional plane, and a coordinate plane does the same on two axis, or a two dimensional plane.
3: The order of the numbers do matter because the first one is the x coordinate and the second is the y. We nee a point of reference so we aren't able to make it so a single point can be represented by multiple ordered pairs, and vice versa so we can accurately share the information without additional interpretation.
4: (4.75, 2.25) Because to move across the x axis is to move in a direction perpendicular to it, meaning only the y coordinate will change. To be mirrored, it has to be copied and the absolute value of y (from both the x and y axis) must be maintained, just moved into the quadrant above or below it.
5: It is 7 units because the original coordinate would be 3.5 (as explained previously), and to move all the way to -3.5 you would need to cover the first 3.5 units to get to y=0, and then another 3.5 units down to get to y=-3.5. This is a total of 7 units moved.
Step-by-step explanation:
math The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing. If there are 15 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed
Answer:
2730 ways
Step-by-step explanation:
Given that,
There are 15 eligible candidates for these positions.
The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing.
It is a concept based on permutations.
[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]
Put n = 15 and r = 3
[tex]P(15,3)=\dfrac{15!}{(15-3)!}\\\\=\dfrac{15!}{12!}\\\\=\dfrac{15\times 14\times 13\times 12!}{12!}\\\\=15\times 14\times 13\\\\=2730[/tex]
Hence, 2730 ways can the members of the cabinet be appointed
Jordan drives for three hours at an average of 60 miles per hour what is the distance in miles he drives during that time
Answer:
180 miles
Step-by-step explanation:
1. Use the drt (distance, rate, time) triangle (shown in the picture) to determine which operation you need to do.
You are given t (time) and r (rate), but you don't have d (distance). What you do is cover up the missing variable d (distance). Since you are left with t and r (time and rate), which are side by side, you multiply the numbers.
2. Plug in the numbers for t and r. Then multiply.
t=3
r=60
3 x 60 = 180 miles
Can somebody help me with my math I’ll give u brainlest
Answer:
yess!!
Step-by-step explanation:
''-''
Answer:
where are questions
Step-by-step explanation:
The following graph shows a proportional relationship.What is the constant of proportionality between y and x in the graph?
Constant Of Proportionality = ________
Answer:
Step-by-step explanation:
y=kx
(5,1)
1=k*5
1/5=k*5/5
1/5=k
The constant of proportionality between y and x in this graph is
1/5
A clothing company produced 600 items of clothing. Of those, 15% were jackets, 25% were dresses, and 15% were shoes. How many of the items of clothing were NOT jackets, dresses, or shoes?
Answer:
270 items
Step-by-step explanation:
Answer:
270 of them were not jackets dresses or shoes
Step-by-step explanation:
What is the slope of the line that passes through
the points (-8, 2) and (-8, -4)?
Answer:
The slope is undefined
Step-by-step explanation:
as - 4-2/-8-(-8)
Is - 6/0
Wich statement best explains the relationship between the numbers divisible by 6, 2, and 3? what's the answer?
Answer:
oh! I once had this, the answer is a number that is divisible by 6 is also divisible by 2 and 3 because 2 and 3 are factors of 6.
50 POINTS!!!There were 50 questions on Vince's math test. He answered 45 questions correctly. What percent of the questions did Vince answer correctly?
Answer:
90%
Step-by-step explanation:
50 x 2 is 100
40 x 2 is 80
5 x 2 is 10
80 +10 = 90
FinWhat is the perimeter of the triangle in the graph? Round your answer to the nearest tenth if necessary. (1 point) 8.9 8.0 12.9 8.5d the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4), N(1,2), O(4, y)
Answer:
man did you ever find out the answer bc I'm dying I cannot fail this test-
Answer:
12.9
Step-by-step explanation:
it is common sense
also i just took test