Answer:
[tex]Probability = 0.3131[/tex]
Step-by-step explanation:
Required
Determine the probability of selecting a woman
The given data can be represented to show women distribution as:
-------------------------------------- Women ------------------- Total
Assistant Professors ----------- 108 ----------------------253
Associate Professors ---------97 -------------------------301
Full Professors -----------------78---------------------------350
First, we calculate the number of women
[tex]Women = 108 + 97 + 78[/tex]
[tex]Women = 283[/tex]
Next, we calculate the total number of professors
[tex]Professors = 253 + 301 + 350[/tex]
[tex]Professors = 904[/tex]
Probability of selecting women is then calculated as:
[tex]Probability = \frac{Women}{Professors}[/tex]
[tex]Probability = \frac{283}{904}[/tex]
[tex]Probability = 0.31305309734[/tex]
[tex]Probability = 0.3131[/tex] -- (approximated)
Which symbol will make the number sentence true?
Answer:
<
Step-by-step explanation:
8/11=0.72727272727272727272727272 just repeated over and over again so its less
Answer:
b
Step-by-step explanation:
write an equation of a line that is perpendicular to given line that passes through the given point 5y+2x=-15 T(5,-5)
Step-by-step explanation:
The answer is on the bottom if you just wanna scroll down.
The first thing that you would want to do is turn the equation of the given line into slope-intercept form (it's just easier). To do that, you would want to isolate y on either side. So subtract 2x and divide both sides by 5 and you get: y=-2/5x-3. After you do this, remember that perpendicular lines have the negative reciprical slope of the original line. So since the slope is -2/5, the slope of a perpendicular line would be 5/2. Now you have m=5/2 which is your slope! Now you can use slope point form which is y-y_1=m(x-x_1). You know your m which is 5/2. y-y_1=5/2(x-x_1). Since we know that the line passes through the point (5,-5) we can just plug the numbers in. y-(-5)=5/2(x-5). simplify everything: y+5=5/2(x-5). Remember, math is all about making things simple and easy. since the problem didn't say a specific type of equation, you can just put that as your answer!
Answer:
y+5=5/2(x-5)
Hope this helps! (If it's wrong, plz leave sum comments. thx lol)
A cookie factory uses 1/10 of a barrel of oatmeal in each batch of cookies. The factory used
2/5 of a barrel of oatmeal yesterday. How many batches of cookies did the factory make?
Answer:
4
Step-by-step explanation:
2/5 is the same as 4/10
Is each graph a function or not?
Answer:
IN THIS ORDER
NO
NO
YES
YES
NO
YES
Step-by-step explanation:
Hope this helped if I got it wrong, sorry ill edit it if I did :)
PICTURE BELOW....................
Answer: C
Step-by-step explanation: 45 divided by 18 is 2.5
Based only on the information given in the diagram, it is guaranteed that
AJKL ~ AWXY.
27°
A
63"
A. True
B. False
Answer:
True
Step-by-step explanation:
Given
In JKL, we have:
[tex]\angle J = 27[/tex]
[tex]\angle K = 90[/tex]
In WXY, we have:
[tex]\angle Y = 63[/tex]
[tex]\angle X = 90[/tex]
Required
Is JKL ~ WXY?
In both triangles, we already have one similar angle (90)
Next, is to determine the third angles in both triangles.
In JKL
[tex]\angle J + \angle K + \angle L = 180[/tex]
We have that:
[tex]\angle J = 27[/tex] and [tex]\angle K = 90[/tex]
The expression becomes:
[tex]27 + 90 + \angle L = 180[/tex]
[tex]117 + \angle L = 180[/tex]
[tex]\angle L = 180-117[/tex]
[tex]\angle L = 63[/tex]
In WXY
[tex]\angle W + \angle X + \angle Y = 180[/tex]
We have that:
[tex]\angle Y = 63[/tex] and [tex]\angle X = 90[/tex]
The expression becomes:
[tex]\angle W + 63 + 90 = 180[/tex]
[tex]\angle W + 153 = 180[/tex]
[tex]\angle W = 180-153[/tex]
[tex]\angle W = 27[/tex]
The three angles in JKL are:
[tex]\angle J = 27[/tex] [tex]\angle K = 90[/tex] [tex]\angle L = 63[/tex]
The three angles in WXY are:
[tex]\angle W = 27[/tex] [tex]\angle X = 90[/tex] [tex]\angle Y = 63[/tex]
By comparing the angles, we can conclude that both triangles are similar because of AAA postulate (Angle-Angle-Angle)
F(x)=x/2 +8, what is f(x) when x = 10?
4
ОООО
13
36
Answer:
13
Step-by-step explanation:
Just replace x with 10, so F(10) = 10/2 + 8. Which is 5 + 8.
2 mi = ____ ft Please help! :((
Answer:
2 mi = 10560 ft
Step-by-step explanation:
you coulve searched it up
Answer:
you multiply it by 2 so its 10560
10. DESIGN Mr. Hagarty is choosing tiles to design a kitche backsplash for a rectangular area 65 inches wide and 9 in tall . Design a backsplash using each type of rhombi-shape tile that minimizes cost. a. diagonals of 1 inch and 1.5 inches, $0.05 each b. diagonals of 1.5 inches and 2 inches, $0.07 each Areas of Trapezoids, Rhombi, and Kites 2 © B O DO
Answer:
I honeslty dont know I just need points to answer a question
Step-by-step explanation:
hope you find the answer youre looking for!
57.351 rounded to the ones place
How do you round to the ones place?
Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place. If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is.
Answer:
Step-by-step explanation:
do u mean round to the nearest 10th as in one decimal place or to the nearest one not decimal place?
the answer below thanks
Answer:
The equation of the circle having centre (-5,-9) and radius r=3 is
x² + 10 x +y² + 14 y + 65 = 0
Step-by-step explanation:
Explanation:-
From graph The centre of the circle C( -5 , -7)
The radius of the circle r = 3cm from the centre of the given circle
The equation of the circle
From graph the centre ( h, k) = ( -5,-7) and r = 3cm
[tex](x-(-5))^2+(y-(-7))^2 = 3^2[/tex]
x² + 10 x +25 +y² + 14 y + 49 =9
x² + 10 x +25 +y² + 14 y + 49 -9=0
The equation of the circle
x² + 10 x +y² + 14 y + 65 = 0
Find the original price of a pair of shoes if the sale price is $63 after a 30% discount.
Answer:
$90
Step-by-step explanation:
To find the original price, divide 63 by 0.7:
63/0.7
= 90
So, the original price is $90
Answer:
$90.00
Step-by-step explanation:
First of all let x be the price of the pair of shoes that you are trying to find.
next since we have 30percent off that price we have
x - 0.30x = 0.70x
which in turn is equal to 63 dollars
so our expression is
0.70x = $63
x = 63 / 0.70
= $ 90.00
Question 3
And question 4 pleaseeee help!!
Answer:
see pdf
Step-by-step explanation:
Find the slope of the line represented by the table
Answer:
slope = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (1, 2) ← 2 ordered pairs from the table
m = [tex]\frac{2-8}{1-3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3
In which situation would it be appropriate to use square feet as a measurement?
Answer:
The correct answer is B ; Karla must determine the area of a floor in her house.
ANSWER ASAP ITS FOR FINALS
Name Geometry B Final ID: 1 Date Period Name the relationship: complementary, linear pair, vertical, adjacent, alternate interior, corresponding, or alternate exterior, 1) 2) the 3) 4) # Find the measure of angle b 6) 5)
Answer:
9. 66°
10. 44°
11. [tex]2\sqrt{7}[/tex]
12. [tex]2\sqrt{3}[/tex]
13. 27.3
14. 33.9
15. 22°
16. 24°
Step-by-step explanation:
9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:
120 + 80 = 200
360 - 200 = 160
12(5) + 6 = 66°
19(5) - 1 = 94°
94 + 66 = 160
10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:
68 x 2 = 136
180 - 136 = 44
11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:
a² + b² = c²
a² + 6² = 8²
a² + 36 = 64
a² = 28
a = [tex]\sqrt{28}[/tex]
a = [tex]2\sqrt{7}[/tex]
12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:
a² + b² = c²
a² + 2² = 4²
a² + 4 = 16
a² = 12
a = [tex]\sqrt{12}[/tex]
a = [tex]2\sqrt{3}[/tex]
13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:
Sin(47°) = [tex]\frac{20}{x}[/tex]
x = 27.3
14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:
Tan(62°) = [tex]\frac{x}{18}[/tex]
x = 33.9
15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:
cos(θ) = 52/56
θ = cos^-1 (0.93)
θ = 22°
16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:
sin(θ) = 4/10
θ = sin^-1 (0.4)
θ = 24°
Good luck!!
What is the equation of the line that has a slope of -3 and passes through the point (-2, 4)?
O y = -3x - 2
y=-3x
ООО
y=-3x - 4
y = -3x + 4
O y=-3x + 2
can someone help me with this
Answer:
30
Step-by-step explanation:
3 + (6 * 4) + 3 = 30
hope this helps
How many 2-inch cubes are needed to completely fill a cubic box that measure 8 inches.
Answer:
It will be 64 cubes.
Step-by-step explanation:
if one side is 8 inches then 8/2 is 4
to fill one face, 4 × 4 = 16
to fill a cube 16 × 4 = 64
Answer: 64 cubes will fit
WHATS THE ANSWER HELP
Please help me 20 points!!!!!
Answer:
A. 0.4 km
B. 48 fruits to 12 vegetables
C. 72 hours
60%
Step-by-step explanation:
1 km = 1000 m
You have 400 m
1000m/1km = 400m/1000m
400/1000
0.4km
4:1
Ok so an easy way to do this one is multiplication.
you need the number of fruits to be 4 times more than the number of vegetables.
A would be 2:1 because 16 is 2 times more than 8
B would be 4:1 because 48 is 4 times more than 12
C would be 8:1 because 24 is 8 times more than 3
D would be 3:1 because 60 is 3 times more than 20
B would be the correct answer
If they traveled 216 miles in 3 hours, to find average you have to divide miles by hours.
216/3
72 hours
The tigers won 12 of their last 20 games.
12/20
0.6
Percent is 100 times the decimal.
0.6*100
60%
Don't be afraid to reach out with any more questions! I hope this helps!
Helppp pleaseee, abc= dce. If ac=5 and bc=7 cd=?
Answer:
CD = 5
Step-by-step explanation:
Given that ∆ACB is congruent to ∆DCE, it follows that their corresponding angles and corresponding side lengths are congruent to each other. Thus:
AC is congruent to CD,
BC is congruent to EC, and
AB is congruent to DE.
Since AC = 5, therefore CD = 5.
how do i right the half of x pls help will give brainliesst answer
Answer:[tex]\frac{1}{2}[/tex]x or x/2
Step-by-step explanation:
Last year, Jeffrey grew 5/8 of an inch and his brother grew 1/2 of an inch. How much more
did Jeffrey grow than his brother?
Simplify your answer and write it as a fraction or as a whole or mixed number.
Answer:
Jeffrey grew 1/8 inch more than his brother
Step-by-step explanation:
5/8 - 1/2 = 5/8 - 4/8 = 1/8
Answer:
[tex]\frac{5}{4}[/tex] [tex]or[/tex] [tex]1.25[/tex]
Step-by-step explanation:
[tex]\frac{5}{8}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]?[/tex]
[tex]\frac{5}{8}[/tex] = [tex]0.625[/tex]
[tex]\frac{1}{2}[/tex] = [tex]0.5[/tex]
[tex]\frac{0.625}{0.5}[/tex] = [tex]\frac{5}{4}[/tex]
[tex]Therefore,[/tex] [tex]\frac{5}{4}[/tex] [tex]is[/tex] [tex]the[/tex] [tex]answer.[/tex]
Hope this helps! <3
which statement is true regarding the functions on the graph?
Answer:
f(3)=g(3)
Step-by-step explanation:
the only one i see is that
f(3)=g(3)
because the two functions intersect there
that means the two values are the same
Which diagram demonstrates the problem 3x 1/4
Answer:
A.
Step-by-step explanation:
3 * 1/4 = 3/4
Which answer shades 3 out of 4 blocks? A.
Answer:
the answer is A
Step-by-step explanation:
3 * (1/4) = .75.... Think about how many quarters make a dollar .75 cents is 3/4 of a dollar
25 points question is below
Answer:
x - 5y = 30
Step-by-step explanation:
If you subtract x from both equations, you'll get -x. If you divide -5y, you'll end up with 1/5x and 6. The intercept doesn't matter but the slopes are parallel which means they'll never intersect anyway
Which of the following represents a reflection of (-3, 4) across the y-axis?
(-4, 3)
O (-3,-4)
O (3, 4)
O (4, -3)
can u pls help me with this question
Answer: a or d
Step-by-step explanation:
plz help !!!!! complete the function tables then graph
Answer:
Step-by-step explanation: