Answer:
0.0475 or 4% professional language translators get paid less than $250 per hour
Step-by-step explanation:
Mean = 320
Standard Deviation = 41.75
We need to find proportion of professional language translators get paid less than $250 per hour i.e P(x<250)
First we will find value of z
Using formula: [tex]z=\frac{x-\mu}{\sigma}[/tex]
We have x=250, finding z
[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{250-320}{41.75}\\z=-1.67[/tex]
Now we will find P(z<-1.67) by looking into the normal distribution table
[tex]P(z<-1.67)=0.0475\\[/tex]
So,0.0475 or 4% professional language translators get paid less than $250 per hour
what do rigid motions preserve
a:size and shape
b:shape and direction
c:size and location
d:shape and location
What is the equation of the line that passes through the point (-5,-7)and has a slope of 2/5
Answer:
6.33333 is the answer <3
Solve.
Question in a triangle, the measure of the first angle is four times the measure of the second
angle. The measure of the third angle is 78° more than the second angle. What is the
measure of the first angle?
17°
95°
68°
43°
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Answer:
The first angle is 68.
Step-by-step explanation:
[tex]x_{1}+x_{2}+x_{3}=180\\x_{1} = 4*x_{2}\\x_{3}=x_{2}+ 78\\4*x_{2} + x_{2} + x_{2}+ 78 = 180\\6*x_{2}=102\\x_{2} = 17\\[/tex]
So [tex]x_{1}=68[/tex] and [tex]x_{3}=95[/tex]
Graph this line using the slope and y-intercept:
y=x+9
Click to select points on the graph.
Please help I’ll mark brainliest if u give a small explanation
Answer:
35
Step-by-step explanation:
yeah becuse 35fttttt
Answer:
45 degrees
Step-by-step explanation:
All triangles have 180 degrees...
So, 85 + 50 = 135
180 - 135 = 45
Hence, the answer is 45 degrees
I hope this helped :)
Solve the system of equations.
−2x+5y =−35
7x+2y =25
Answer:
The equations have one solution at (5, -5).
Step-by-step explanation:
We are given a system of equations:
[tex]\displaystyle{\left \{ {{-2x+5y=-35} \atop {7x+2y=25}} \right.}[/tex]
This system of equations can be solved in three different ways:
Graphing the equations (method used)Substituting values into the equationsEliminating variables from the equationsGraphing the Equations
We need to solve each equation and place it in slope-intercept form first. Slope-intercept form is [tex]\text{y = mx + b}[/tex].
Equation 1 is [tex]-2x+5y = -35[/tex]. We need to isolate y.
[tex]\displaystyle{-2x + 5y = -35}\\\\5y = 2x - 35\\\\\frac{5y}{5} = \frac{2x - 35}{5}\\\\y = \frac{2}{5}x - 7[/tex]
Equation 1 is now [tex]y=\frac{2}{5}x-7[/tex].
Equation 2 also needs y to be isolated.
[tex]\displaystyle{7x+2y=25}\\\\2y=-7x+25\\\\\frac{2y}{2}=\frac{-7x+25}{2}\\\\y = -\frac{7}{2}x + \frac{25}{2}[/tex]
Equation 2 is now [tex]y=-\frac{7}{2}x+\frac{25}{2}[/tex].
Now, we can graph both of these using a data table and plotting points on the graph. If the two lines intersect at a point, this is a solution for the system of equations.
The table below has unsolved y-values - we need to insert the value of x and solve for y and input these values in the table.
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & a \\ \cline{1-2} 1 & b \\ \cline{1-2} 2 & c \\ \cline{1-2} 3 & d \\ \cline{1-2} 4 & e \\ \cline{1-2} 5 & f \\ \cline{1-2} \end{array}[/tex]
[tex]\bullet \ \text{For x = 0,}[/tex]
[tex]\displaystyle{y = \frac{2}{5}(0) - 7}\\\\y = 0 - 7\\\\y = -7[/tex]
[tex]\bullet \ \text{For x = 1,}[/tex]
[tex]\displaystyle{y=\frac{2}{5}(1)-7}\\\\y=\frac{2}{5}-7\\\\y = -\frac{33}{5}[/tex]
[tex]\bullet \ \text{For x = 2,}[/tex]
[tex]\displaystyle{y=\frac{2}{5}(2)-7}\\\\y = \frac{4}{5}-7\\\\y = -\frac{31}{5}[/tex]
[tex]\bullet \ \text{For x = 3,}[/tex]
[tex]\displaystyle{y=\frac{2}{5}(3)-7}\\\\y= \frac{6}{5}-7\\\\y=-\frac{29}{5}[/tex]
[tex]\bullet \ \text{For x = 4,}[/tex]
[tex]\displaystyle{y=\frac{2}{5}(4)-7}\\\\y = \frac{8}{5}-7\\\\y=-\frac{27}{5}[/tex]
[tex]\bullet \ \text{For x = 5,}[/tex]
[tex]\displaystyle{y=\frac{2}{5}(5)-7}\\\\y=2-7\\\\y=-5[/tex]
Now, we can place these values in our table.
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & -7 \\ \cline{1-2} 1 & -33/5 \\ \cline{1-2} 2 & -31/5 \\ \cline{1-2} 3 & -29/5 \\ \cline{1-2} 4 & -27/5 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex]
As we can see in our table, the rate of decrease is [tex]-\frac{2}{5}[/tex]. In case we need to determine more values, we can easily either replace x with a new value in the equation or just subtract [tex]-\frac{2}{5}[/tex] from the previous value.
For Equation 2, we need to use the same process. Equation 2 has been resolved to be [tex]y=-\frac{7}{2}x+\frac{25}{2}[/tex]. Therefore, we just use the same process as before to solve for the values.
[tex]\bullet \ \text{For x = 0,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(0)+\frac{25}{2}}\\\\y = 0 + \frac{25}{2}\\\\y = \frac{25}{2}[/tex]
[tex]\bullet \ \text{For x = 1,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(1)+\frac{25}{2}}\\\\y = -\frac{7}{2} + \frac{25}{2}\\\\y = 9[/tex]
[tex]\bullet \ \text{For x = 2,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(2)+\frac{25}{2}}\\\\y = -7+\frac{25}{2}\\\\y = \frac{11}{2}[/tex]
[tex]\bullet \ \text{For x = 3,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(3)+\frac{25}{2}}\\\\y = -\frac{21}{2}+\frac{25}{2}\\\\y = 2[/tex]
[tex]\bullet \ \text{For x = 4,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(4)+\frac{25}{2}}\\\\y=-14+\frac{25}{2}\\\\y = -\frac{3}{2}[/tex]
[tex]\bullet \ \text{For x = 5,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(5)+\frac{25}{2}}\\\\y = -\frac{35}{2}+\frac{25}{2}\\\\y = -5[/tex]
And now, we place these values into the table.
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & 25/2 \\ \cline{1-2} 1 & 9 \\ \cline{1-2} 2 & 11/2 \\ \cline{1-2} 3 & 2 \\ \cline{1-2} 4 & -3/2 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex]
When we compare our two tables, we can see that we have one similarity - the points are the same at x = 5.
Equation 1 Equation 2
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & -7 \\ \cline{1-2} 1 & -33/5 \\ \cline{1-2} 2 & -31/5 \\ \cline{1-2} 3 & -29/5 \\ \cline{1-2} 4 & -27/5 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex] [tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & 25/2 \\ \cline{1-2} 1 & 9 \\ \cline{1-2} 2 & 11/2 \\ \cline{1-2} 3 & 2 \\ \cline{1-2} 4 & -3/2 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex]
Therefore, using this data, we have one solution at (5, -5).
please help me
evaluate each funtion for the given value
the problem is f (x) = -4x + 7; f (1)
Answer:Therefore, f(−1)=6.
Step-by-step explanation:
So, if f(x)=x+7 then f(−1)=(−1)+7
Therefore, f(−1)=6.
Answer:
primeroaend:epr )
Step-by-step explanation:
after 6 hours, a driver had traveled 390 miles. how far had the driver traveled after 4 hours
(I'LL GIVE BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS MEE!!!!!!!!!!! :D)
Solve one and two tenths plus eight and one eighteenth.
A) nine and one twenty eighths
B) nine and three twenty eighths
C) nine and thirty six one hundred eightieths
D) nine and forty six one hundred eightieths
Answer:
Its D
Step-by-step explanation:
Answer:
It would be 9 13/40
Step-by-step explanation:
Convert any mixed numbers to fractions.
Reduce fractions where possible.
Then your initial equation becomes:
6/5 + 65/8
Applying the fractions formula for addition,
=(6×8)+(65×5)5×8
=48+325/40
=373/40
Simplifying 373/40, the answer is =9 13/40
A .16
B .20
C .29
D .38
Answer:
a
Step-by-step explanation:
sorry if wrong
what is the geometric mean of 8 and 18
Answer:
12.
Step-by-step explanation:
The geometric mean of two numbers a and b is sqrt(ab).
Hence, sqrt(8 * 18) = sqrt (144) = 12.
Hope this helped!
The geometric mean of 8 and 18 is 12 which is calculated as the square root of their product, which is 12.
Given two numbers are:
First number = 8
Second number = 18.
To find the geometric mean of two numbers, multiply the numbers together and then take the square root of their product.
Step 1: Find of the two numbers.
Product P: [tex]8 \times 18 = 144[/tex]
Step 2: Find the square root of the product.
Geometric mean = [tex]\sqrt{P}[/tex]
Plugging the value of P gives:
Geometric mean = [tex]\sqrt{144}[/tex]
Take the square root of 144, gives:
Geometric mean = 12.
Therefore, the geometric mean of 8 and 18 is 12.
The geometric mean is often used to find the average growth rate or to compare quantities that vary exponentially.
In summary, the geometric mean of 8 and 18 is calculated as the square root of their product, which is 12.
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Find the coordinates of the vertices of the image QRST after a reflection over the x axis.
Answer:
t - (-2,-1)
q - (1,-3)
r - (3,3)
s - (0,2)
Step-by-step explanation:
30/1/4percent in simplest form
Answer:
i have autism and adhd and add and dmdd so plz dont yell at me that i did not answer!!!
Step-by-step explanation:
Answer:
30.25 for decimal and
for percent would be 3025%
Evaluate √(13 +2i)^4
Answer:
(165 + 52 i)
Step-by-step explanation:
We are given the expression:
√(13+2i)⁴
the square root can also be written as the power of 1/2
[tex](13 + 2i)^{4 * 1/2}[/tex]
(13 + 2i)²
(13)² + (2i)² + 2(13)(2i) [(a + b)² = a² + b² + 2ab]
169 + 4(i²) + 52i
169 - 4 + 52i [i² = -1]
(165 + 52 i)
Whats the inequalitie of X+7<14
Answer:
x>7
Step-by-step explanation:
After subtracting 7 from each side, you must flips the less than sign to grater than. This would leave you with x>7.
if four out of 10 people vote then in a town with 200,00 people how many will vote
Answer:
80,000
Step-by-step explanation:
You see all you have to do is find out what 200,000 divided by 10 is : 20,000 then multiply that by four leaving you with a answer of 80,000.
whats is 1+1+3+7+8+33542
Answer:
33562, You could have used a calculator, or used your head, why
Step-by-step explanation:
School fees were decreased from
N25.00 to 20.00 per term.What is
the decrease percent?
(a) 80%
(b) 40%
an
(c) 25%
(d) 24%
(e) 20%
Answer:
(e) 20%
Step-by-step explanation:
20/25 = 80/100 = 80% of 25.
If 25/25 = 100%,
then 100% - 80% = 20%
So, the school fees decreased by 20%
can someone please help me please I will give brainliest and please dont google
give an example of an instance when correlation and significance are extremely important when comparing two sets of data
Answer:
Step-by-step explanation:
Correlation occurs when we can observe a trend between the response/dependent variable (y) and the explanatory/independent variable (x).
When comparing two sets of data, we may observe and use correlation to determine whether or not the data presented if significant or not and whether or not it supports our hypothesis. We may want to see if this is just a fluke and whether or not the trend causes causation.
An example of this would be if we thought that the weight of female mice determines how many kids they have in a month.. Let's say that mice that weigh up to one ounce have 6 baby mice per month.
Let's say that the x variable is the weight which is between 0.25 oz and 1.25 oz and the y-variable is the amount of kids between each month. If another laboratory conducts the same study with the same type of mice with the same weights as us, we would need to determine if there is correlation and if there is causation and try to use this information to determine if both sets of data are significant to our hypothesis.
Answer:
If there is a strong correlation between two variables, it's easy to jump to the conclusion that one causes y and causes X; or that a third factor, Z (or even a whole set of other factors)
Step-by-step explanation:
im confused but i tried
A boat rental company offers two different rental packages. The first rental package costs $45, plus $29.50 per hour. The second rental package costs $90, plus $0.70 per hour. Which answer choice best approximates the number of rental hours at which the boating packages cost the same amount?
Answer:
$90
Step-by-step explanation:
Who does Russian School of Math
Answer:
Not me
Step-by-step explanation:
Answer:
isn't it the same as American
Step-by-step explanation:
give a time where you confused correlation and causation
Answer: A
Step-by-step explanation:
In math
Carli and Angela share a cell phone plan and split the bill each month. Last month, their total bill was $109. Carli went over her data limit on her phone, so her share of the bill was $15 more than Angela's to account for the overage charge. Which system of equations represents this situation?
A. c+a=15
c=a+109
B. c+a=109
c=a+15
C. c+a=109
a=c+15
D. c-a=15
c=a+109
Answer:
C
Step-by-step explanation:
A shirt is on sale for 30%
off. It's original price was
$20. How much money
would someone save if
they bought the shirt?
Answer:
$6
Step-by-step explanation:
Answer:
it would be a 14$ t-shirt there for you save 6 dollars.
Step-by-step explanation:
do the math in a calculator. :D
which set of ordered pairs in the form of (x, y) does not represent a function of x? (1 point) {(0, 2), (1, –1), (2, 3), (3, –2)} {(0, –2), (1, 1), (2, 3), (3, –2)} {(0, 2), (–1, –1), (2, –3), (3, 2)} {(0, 2), (1, 2), (1, –2), (3, 2)}
Answer:
(1-,3),(2,2),(3-,3),(2,1),
Question 20 (5 points)
B
1
12
✓
4
15
7
18
✓
0
What vertical line (V) and horizontal line (H) intersect at point B?
OA) V: y = 6; H: x = 1
OB) V: y = 6; H: x = 1
ty
Answer:
D.) [tex]V:x=1;H:y=6[/tex]
Step-by-step explanation:
The vertical intersection of the point is found by the x value. Starting at the point, move down to find the value of x. The vertical line, value x, is 1.
The horizontal intersection of point B is found by the y value. Start at the given point and move to the left to find the y value. The horizontal line, y, is 6.
[tex](vertical,horizontal)\\\\(x,y)\\\\(1,6)[/tex]
:Done
Answer the mixed number as a decimal 8 9/10
Answer:
8.9
Step-by-step explanation:
Answer:
8.9
Step-by-step explanation:
8 9/10=8+9/10
=8/1+9/10
=(8/1×10/10)+9/10
=80/10+9/10=8 9/10
We know that
89/10
is the same as
89÷10
Then using
Long Division for 89 divided by 10
gives us
=8.9
I need helppp... Pleasee I will thank you forever!!
Answer:
$15
correct if wrong pls
Step-by-step explanation:
42+56+129= 227 total of deposits
17+32+18= 67 total of withdrawals
227-67= 160
160-145=15 answer
correct if wrong but i think thats the answer
12x+6=5x how many solutions
Answer -6/7
Step-by-step explanation:Factor then solve to find the complex solutions.
Answer:
-6/7
Step-by-step explanation:
12x+6=5x
12x-5x=-6
7x=-6
X=-6/7
So the answer is -6/7
Describe the relationship between angles f, b, and a in the diagram.
PLEASE HELP ME IM GIVING 30 POINTS !!
The exterior angle of a triangle is equal to the sum of the two interior opposite angles, so : f° = a° + b° .
A triangle is a polygon which has 3 sides. The triangles can be divided into 3 types based on the value of the angles: Equilateral, isosceles ,scalene and right angled.
One of the internal angles of a right triangle (also known as a right-angled triangle) measures 90 degrees (a right angle). The hypotenuse, the triangle's longest side, is the side that faces the right angle. The triangle's other two sides are referred to as its legs. Right triangles adhere to the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
We know when we add all the angles of any given triangle it is 180°
∴ a° + b° + c° = 180°
or, a° + b° = 180° - c°
Now we know that a linear pair the sum of the angles is 180°.
∴c° + f° = 180°
or, f° = 180° - c°
So from the above two equations we can say that
f° = a° + b°
Therefore in the triangle the exterior angle of the triangle is equal to the sum of the two interior opposite angles.
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