Answer:
3c+3
2c+c+3
Step-by-step explanation:
Got it mostly wrong bec of bad setup
Please answer this in two minutes
Answer:
v = 42
omg i hope this helps!!
Personnel selection. Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 12 finalists, what is the probability of selecting (A) 3 females and 2 males? (B) 4 females and 1 male? (C) 5 females? (D) At least 4 females?
Answer:
The answer is below
Step-by-step explanation:
The possible ways of choosing r items from a total of n item is given as C(n,r) = [tex]\frac{n!}{(n-r)!r!}[/tex]
Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions.
Since they are 12 finalists and only 5 positions, the total number of possible outcomes is:
[tex]Total\ number\ of \ outcome (n(s))=C(12,5)=\frac{12!}{(12-5)!5!} =792[/tex]
A) 3 females and 2 males
The possible ways of choosing 3 females and 2 males is given as:
[tex]n(e)=C(6,3)*C(6,2) = \frac{6!}{(6-3)!3!}* \frac{6!}{(6-2)!2!}=20*15=300[/tex]
probability of selecting 3 females and 2 males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{300}{792}=0.379[/tex]
B) 4 females and 1 males
The possible ways of choosing 4 females and 1 males is given as:
[tex]n(e)=C(6,4)*C(6,1) = \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=15*6=90[/tex]
probability of selecting 4 females and 1 males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{90}{792}=0.1136[/tex]
C) 5 females
The possible ways of choosing 5 females is given as:
[tex]n(f)=C(6,5) = \frac{6!}{(6-5)!5!}=6[/tex]
probability of selecting 5 females = [tex]\frac{n(f)}{n(s)}=\frac{6}{792}[/tex]
(D) At least 4 females
This can be done by choosing 4 females out of 6 females i.e. C(6,4) , 5 females out of 6 females i.e C(6,5) and 1 male out of six male i.e (6,1)
The possible ways of choosing atleast 4 females is given as:
[tex]n(h)=C(6,5)*C(6,4)*C(6,1)= \frac{6!}{(6-5)!5!}* \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=6*15*6=540[/tex]
probability of selecting atleast 4 females = [tex]\frac{n(h)}{n(s)}=\frac{540}{792}[/tex]
Sally is reading a comedy book. The table below shows a proportional relationship between the number of pages she reads and the number of hours she spends each day reading. What is the constant proportionality in pages per hour? Hours 4 5 Number of Pages 20 25 Show your work:
Answer:
5 pages per hour
Step-by-step explanation:
Here, we need the constant of proportionality in pages per hour.
This is just like having 2 sets of point of a graph and asked to find the slope
Where the pages is the y-axis or vertical axis and the number of hours is the horizontal axis.
So let’s proceed to say we have points ;
(4,20) and (5,25)
So the constant of proportionality would be;
(25-20)/(5-4) = 5/1 = 5 pages per hour
Anyone know the answer ?
Answer:
102
Step-by-step explanation:
We can find x by using the fact that the angles in a triangle add up to 180.
73+42+x=180
x = 65
We can find y by using the fact that angles on a straight line add up to 180.
131+y=180
y=49
We can find the third angle in that triangle.
65+49+n=180
Let n represent the third angle in the triangle.
n=66
Then z + n = 180
z + 66 =180
z= 144
Let the angle in the bottom left be i
z+i = 180
144 + i = 180
i = 36
Let's find l.
The angles in a triangle add up to 180.
36 + 49 + l =180
l = 95
y is a vertical angle.
95+ y + u = 180
95+49+u=180
u=36
180-36=144
then the right triangle (with angle of 42) has a corner of 36.
36+42+t = 180
t= 102
102 + f = 180
f = 78
f + w = 180
78 + w = 180
w = 102
Will mark branlist for the first one to help
Answer:
17°
Step-by-step explanation:
73°= EGB
EGB+ x° = 90°
so x° = 90°-73° =17°
Answer:
17°
73°= EGB
EGB+ x° = 90°
so x° = 90°-73° =17°
Step-by-step explanation:
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number. the answer to that is 32. If you replace the tens digit with x, then what will the equation be?
Answer: 32
Step-by-step explanation:
Let x + y = 5
x = 5 - y....................(1)
10x + y -9 = 10y + x..... . (2)
Substituting (1) in (2)
10(5-y) + y - 9 = 10y + (5-y)
50-10y + y - 9 = 10y + 5 - y
41 - 9y = 9y + 5
-9y - 9y = 5-41
-18y = - 36
y = 36/2 = 2
So, x = 5-2 = 3
Jake’s Cameras purchased a digital camera at a wholesale cost of $80. They marked up the price 50 percent above the wholesale cost to use as their selling price. After every month that the camera didn’t sell, the store reduced the selling price by 25 percent. After how many monthly price reductions did the price dip below the wholesale cost?
Answer:
2 months
Step-by-step explanation:
$80 x 0.5 = $40
$80 + $40 = $120
$120 * 0.25 = $30
1st month - $120-$30 = $90
2nd month - $90-$22.5 = $67.5
Answer:
AFTER 2 MONTHS
Step-by-step explanation:
Help! I'm unsure as to how to solve this... True or false? Can a polygon with 21 sides have 432 possible diagonals.
Answer:
NO, it can have only 189 possible diagonals
Step-by-step explanation:
No. of diagonals in a polygon is given by n(n-3)/2
where n is the number of sides in the polygon.
Given
polygon has 21 sides
thus, no. of diagonals for 21 sided polygon is = 21(21-3)/2 = 21*18/2 = 189
while in the problem it is asking if it has 432 possible diagonals
which is wrong.
Mary went up the Old Tower taking 3 steps per second. Then she carefully came down from the tower taking 2 steps per second. It took Mary 25 seconds longer to come down than to go up. How many steps does the Old Tower have?
Answer:
The old tower has 150 steps
Step-by-step explanation:
Let the number of steps in the old tower be m
Mathematically, time = distance/speed
In this case, the distance is the number of steps while the speed is the rate of climbing or descending
For climbing, time spent = m/3
For descending time spent = m/2
Since it took her 25 longer when descending;
This means that;
m/2 - m/3 = 25
(3m-2m)/6 = 25
m/6 = 25
m = 6 * 25
m = 150 steps
Point E has coordinates (-11, 7), and point F has coordinates (-5, 1). To the nearest unit, what is the distance between the two points?
Answer:
8 units
Step-by-step explanation:
We can use the distance formula. Recall the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let (-11,7) be [tex]x_1[/tex] and [tex]y_1[/tex], and (-5,1) be [tex]x_2[/tex] and [tex]y_2[/tex]
Plug in the numbers:
[tex]d=\sqrt{(-5-(-11))^2+(1-7)^2[/tex]
[tex]d=\sqrt{6^2+(-6)^2}[/tex]
[tex]d=\sqrt{36+36}=\sqrt{72}=6\sqrt2\approx8[/tex]
Yo tenía $ 2.00. Mi mamá me dio $ 10.00. Mi papá me dio $ 30.00. Mi tía y mi tío me dieron $ 100.00. Yo tenía otros $ 5.00. Cuánto tenía? La respuesta correcta será eliminada. Gané contra: Vero verito
Answer:
$147
Step-by-step explanation:
$2.00+$10.00+$30.00+$100.00+$5.00
=$147
El dinero total que tenía será de $ 147.00
Dado lo siguiente
La cantidad tenía inicialmente = $ 2.00
La cantidad dada por mamá = $ 10.00
La cantidad recibida de papá = $ 30.00
La cantidad recibida del tío y la tía = $ 100.00
Si tuviera otros $ 5,00
La cantidad total que tenía será la suma de todo el dinero que tenía y los recaudados como se muestra:
Dinero total que tenía = $ 2,00 + $ 10,00 + $ 30,00 + $ 100,00 + $ 5,00
Dinero total que tenía = $ 147.00
Por lo tanto, el dinero total que tenía será de $ 147.00.
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It requires 350 joules to raise a certain amount of a substance from 10.0°C to 30.0°C. The specific heat of the substance is 1.2 J/g°C. What is the mass of the substance? 12 g 15 g 18 g 30 g
Answer:
15 g.
Step-by-step explanation:
The following data were obtained from the question:
Heat required (Q) = 350 J
Initial temperature (T1) = 10.0 °C
Final temperature (T2) = 30.0 °C
Specific heat capacity (C) = 1.2 J/g°C
Mass (M) =..?
Next, we shall determine the change in temperature.
This is illustrated below:
Initial temperature (T1) = 10.0 °C
Final temperature (T2) = 30.0 °C
Change in temperature (ΔT) =..?
Change in temperature (ΔT) = T2 – T1
Change in temperature (ΔT) = 30 – 10
Change in temperature (ΔT) = 20 °C
Finally, we shall determine the mass of the substance as follow:
Heat required (Q) = 350 J
Specific heat capacity (C) = 1.2 J/g°C
Change in temperature (ΔT) = 20 °C
Mass (M) =.?
Q = MCΔT
350 = M x 1.2 x 20
Divide both side by 1.2 x 20
M = 350 / (1.2 x 20)
M = 14.5 ≈ 15 g
Therefore, the mass of the substance is
15 g.
Answer:
15 g
Step-by-step explanation:
help me quickly please!
what is the area of the shaded region? (25pi-48)cm^2 (25pi-30)cm^2 (25pi-24)cm^2
(25pi-12) cm^2
Answer:
25pi-24 cm²
Step-by-step explanation:
pi(5)²-2(1/2)*6*4
25pi-24 cm²
The area of the shaded region is (25π - 24) sq.cm.
What is area of circle?"[tex]A = \pi \times r^2[/tex], where 'r' is the radius of the circle."
What is the area of the triangle?"[tex]A=\frac{1}{2}\times b\times h[/tex], where b is the base and h is the height."
What is an isosceles triangle?"It is a triangle that has any two sides equal in length.""The angles opposite to equal sides are equal in measure.For given question,
area of the shaded region = area of circle - area of 2 isosceles triangles
First we find the area of the circle:
Here, radius r = 5 cm
So, the area of the circle would be,
[tex]A=\pi\times r^2\\\\A=\pi \times 5^2\\\\A=25\pi~cm^2[/tex]
Now, for isosceles triangle,
base b = 6 cm
And height h = 5 - 1
h = 4 cm
Using the formula for area of the triangle,
[tex]A=\frac{1}{2}\times b\times h\\\\ A=\frac{1}{2}\times 6\times 4\\\\ A=12~cm^2[/tex]
So, the area of the shaded region would be,
the area of the shaded region
[tex]= 25\pi - (2 \times 12)\\\\= 25\pi - 24 ~sq.cm.[/tex]
Therefore, the area of the shaded region is (25π - 24) sq.cm.
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Find the angles of the triangle if they
are
proportional to the following:
1, 2, 3
Answer:
The angles of this would be x=30
Step-by-step explanation:
If they are proportional to 1:2:3, then we can do 2 things.
They are just cong. ratios. This means that we can have a variable x to the 1,2 and 3.
Second, the angles of an triangle equal 180.
Adding 1 + 2 =
1x + 2x + 3x = 180
6x = 180
x = 30
Now the largest angle would be 3x. Thus 3*30 = 90. You have a right triangle.
what is the perimeter of P:(2,2) Q:(6,2) R:(6,5) S:(2,5)
Answer: 14
Step-by-step explanation:
P(6)- Q(2) = 4
Q(5) - R(2) = 3
R(6) - S(2) = 4
S(5) - P(2) = 3
4 + 3 + 4 + 3 = 14
Brainliest is appericiated!
Answer:
Perimeter = 14
Step-by-step explanation:
to find the perimeter first find the distance between the two points :
d=√((x2-x1)²+(y2-y1)²)
PQ:(2,2)(6,2)
d=√(6-2)^2+(2-2)^2
= √16=4
PQ=4
RS: (6,5),(2,5)
d=√(6-2)^2+(5-5)^2
d=4
RS=4
QR:(6,2),(6,5)
QR=3
SP(2,5),(2,2)
SP=3
perimeter=2length+2width
P=2l+2w
p=2(4)+2(3)
p=8+6=14
SOMEBODLY PLZ HELP ASAP! Find x
Answer:
x=4
Step-by-step explanation:
We can use the leg rule
hyp leg
------- = -----------------
leg part
2+6 x
------- = -----------------
x 2
Using cross products
8*2 = x^2
16 =x^2
Take the square root of each side
4 =x
There are seven roads that lead to the top of a hill. How many different ways are there to reach the top and come back (you don't have to go on the same road there and back)?
Answer:
49 different ways
Step-by-step explanation:
If there are seven roads that lead to the top, you have seven possible choices to go to the top of the hill.
Then, to come back to the start, you also have seven possible choices (seven roads), and you can pick any road.
So, if you have seven ways go to up and seven ways to go down, the number of different ways of going to the top and come back is the product these numbers of possible choices.
N(total) = N(up) * N(down)
N(total) = 7 * 7
N(total) = 49 different ways
A population numbers 12,000 organisms initially and grows by 10.8% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a ⋅ b t where
Answer:
[tex] P= a b^t[/tex]
And for this case [tex]a=12000[/tex] and the growth rate can be founded like this:
[tex]b= 1+0.108 = 1.108[/tex]
And then our model would be given by:
[tex] P = 12000 (1.108)^t[/tex]
Step-by-step explanation:
For this case if we want to find a model for the population number after some time t we can use the following general model:
[tex] P= a b^t[/tex]
And for this case [tex]a=12000[/tex] and the growth rate can be founded like this:
[tex]b= 1+0.108 = 1.108[/tex]
And then our model would be given by:
[tex] P = 12000 (1.108)^t[/tex]
Which one is not a polynomial
– p + 5 + p^2
x^2 + 5x
(x - 1)/x
x^3 - 3
Answer:
(x-1)/x
Step-by-step explanation:
its not having any term .
Answer:
(x - 1)/x
Step-by-step explanation:
A polynomial can have variables, variables raised to exponents, and variables can be multiplied by numbers. A polynomial cannot have division by a variable, a variable in a root, a logarithm of trig function of a variable.
All are polynomials except for (x - 1)/x where there is division by a variable.
A wall of a building is 30 inches wide.Sixteen inches is concrete,10 inches is brick, and 4 inches is limestone . What fraction of the wall is limestone
Answer:
[tex]Fraction = \frac{2}{15}[/tex]
Step-by-step explanation:
Given
Wall = 30 inches
Concrete = 16 inches
Brick = 10 inches
Limestone = 4 inches
Required
Fraction of the wall that is limestone
The fraction of limestone is calculated as follows;
[tex]Fraction = \frac{Size\ of\ limestone}{Size\ of\ wall}[/tex]
Substitute 4 for size of limestone and 30 for size of size of wall
The formula becomes
[tex]Fraction = \frac{4}{30}[/tex]
Divide numerator and denominator by 2
[tex]Fraction = \frac{4/2}{30/2}[/tex]
[tex]Fraction = \frac{2}{15}[/tex]
The fraction can not be further simplified; hence, the fraction of limestone is [tex]\frac{2}{15}[/tex]
Answer:
2/15
Step-by-step explanation:
Fractions can be found by dividing the part by the whole.
part/whole
In this problem, the part is the limestone portion of the wall and the whole is the total width of the wall.
limestone/total
16 inches are concrete, 10 inches are brick and 4 inches are limestone. The total width is 30 inches.
limestone = 4
total = 30
4/30
This fraction can be simplified. Both the numerator and denominator can be evenly divided by 2.
(4/2) / (30/2)
2/ (30/2)
2/15
This fraction cannot be simplified further, therefore it is our answer.
2/15 of the wall is limestone.
Pls help; I am kind of suckish with Pythagorean Theorem
Also, please show the method, as I would like to understand. Thank you.
Answer: x = 20
Step-by-step explanation:
Pythagorean Theorem is: a² + b² = c² where c is the hypotenuse
Given: a = 21, b = x, c = 29
21² + x² = 29²
441 + x² = 841
x² = 400
√x² = √400
x = 20
h e l p which table represents a linear function (taking a test!!!)
Answer:
Step-by-step explanation:
it is table 4, because it y has constant change for every input of x
which is 2
-4/-2=-8/-4=-16/-8=2
Answer:
4
Step-by-step explanation:
Please answer this question now in two minutes
Answer: z = 81
Step-by-step explanation:
TW is the midsegment of ΔSUV ⇒ UV = 2TW
Given: UV = z - 51, TW = z - 61
z - 51 = 2(z - 61)
z - 51 = 2z - 132
-51 = z - 132
81 = z
BRAINLIEST! HELP ASAP MATH PLSSS
Answer: The answer would be the second one.
Step-by-step explanation:
It is hard to explain but, I made and equation that would go with the problem which would be 2 points for every goal plus the free goals for every goal. (2g+f) and in then end it should all equal 15 so the equation so far would be 2g+f =15. This then leave you with three answers left. then I had plugged in a random number to solve it. g and f exacly should be the same number because for every goal you get a free point so if you get one goal then one extra point, if three goals then three extra points. so if you plug in 5 then 2 times 5 plus 5 is 15. The similarities between g and f is if you subtract them it is always going to be zero. Which makes the second answer correct for this problem.
Which equation has the solutions x = 1 plus-or-minus StartRoot 5 EndRoot? x2 + 2x + 4 = 0 x2 – 2x + 4 = 0 x2 + 2x – 4 = 0 x2 – 2x – 4 = 0
Answer:
x^2 - 2x - 4 = 0.
Step-by-step explanation:
Written in factor form we have:
(x - ( 1 + √5)( x - (1 - √5)) = 0
(x - 1 -√5)( x - 1 +√5)) = 0 Expanding:
x^2 - x +√5x - x + 1 - √5 - √5x + √5 - 5 = 0
x^2 - 2x - 4 = 0.
Answer: D!!!!!!!
Step-by-step explanation:
If triangle ABC is reflected across the y-axis, what are the coordinates
of A'?
(4, -5)
(-5, 4)
(-4, 5)
(5, -4)
Point A is located at (5,4)
To reflect over the y axis, we flip the sign of the x coordinate while keeping the y coordinate the same. The rule is [tex](x,y) \to (-x,y)[/tex]
So we will have [tex](5,4) \to (-5,4)[/tex] as the location of A'
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply. x = one-half y minus 3 2 x minus y = negative 6 2 x minus y = negative 3 x = one-half (y minus 3) y = 10 (x minus 1)
Answer:
Step-by-step explanation:
Represent the larger and the smaller numbers by y and x. Then:
y = 10(x - 1) and x = (y/2) - 3
Smaller number is 3 less than half a larger number is x=y/2-3 and larger number is 10 times 1 less than the smaller number is y=10(x-1)
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that x represent the smaller number
Let y represent the larger number.
A smaller number is 3 less than half a larger number.
Half a larger number means 1/2 of y which is y/2.
3 less than half a larger number means y/2-3.
So smaller number is 3 less than half a larger number is x=y/2-3.
The larger number is 10 times 1 less than the smaller number.
The times in the sentence means product or multiplication.
So it can be represented by the equation as shown
y=10(x-1)
Hence, smaller number is 3 less than half a larger number is x=y/2-3 and larger number is 10 times 1 less than the smaller number is y=10(x-1).
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VERY MAD NOONE WILL ANSWER ME
Answer: Only C
Step-by-step explanation:
Equation C simplified to 0 = 0, meaning x has no effect on the equation and cancels out. Thus, it can be any value.
If the measurement of angle 3 equals 48 degrees, then what is the measure of angle 1?
Answer:
Step-by-step explanation:
Based on the fact that it is congruent, it is also 48 degrees.
Answer:
48 degrees
Step-by-step explanation:
The line GE is parallel to line SF because of the marks on those lines.
If you look closely than you can see that angle 3 and 1 are the same.
So if angle 3= angle 1 then angle one is 48 degrees.
Hope this makes sense! If not put ask a question in the comments!
What is the measure of ∠x
Answer:
the measure of x is 64°.
Step-by-step explanation:
here,
angle I=60° (being corresponding angle)
now, angle A+angle I +angle B = 180°(sum of interior angle of a triangle is 180°)
or, x+56°+60°=180°
or, x= 180°-116°
therefore the measure of x is 64°.
hope it will help uh..
Answer:
I would say about 85º
Step-by-step explanation:
If we make a logical guess/hypothesis, 85º is a slightly tilted right angle.
I'm sorry if my hypothesis is wrong :(