Answer:
a) 2/5
b) 1/10
Step-by-step explanation:
There are 20 people total.
a is that the chosen child is a girl.
2 + 6 = 8, --> there are 8 girls --> simplify
8/20 = 4/10 = 2/5
b is the probability that the chosen child is a left-handed girl, --> there are 2 left-handed girls --> 2/20 --> simplify to 1/10
And thus, we have our answers.
Answer:
A) 2/5
B) 1/10
Step-by-step explanation:
A) Total Girls = 8
Total Children = 19
Probability = [tex]\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}[/tex]
Probability = 8/20 = 4/10 = 2/5
B) Left-handed girls = 2
Total left handed children = 20
=> Probability = [tex]\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}[/tex]
=> Probability = 1/10
The graph of y=4x[tex]x^{2}[/tex]-4x-1 is shown
Answer:
i.) (-0.25, 0), (1.25, 0)
ii.) (0.5, 2), (1.5, 2)
Step-by-step explanation:
For i, it is asking for the roots of the quadratic, or where the graph crosses the x-axis.
For ii, it is asking for the x-values when y = 2.
When an object is removed from a furnace and placed in an environment with a constant temperature of 70°F, its core temperature is 1500°F. One hour after it is removed, the core temperature is 1170°F. (a) Write an equation for the core temperature y of the object t hours after it is removed from the furnace. (Round your coefficients to four decimal places.)
Answer:45 I think
Step-by-step explanation:
Hi! I need help with my maths the question is 69x420=? (i dont have calculator)
Answer:
69×420=28980
just use calculator
Step-by-step explanation:
i hope this will help you :)
Answer:
28,980
Step-by-step explanation:
Which of the following functions shows the quadratic parent function, F(x) =
x2, shifted left?
Answer: choice B
Step-by-step explanation:
just took the quiz
omm its B. G(x)=(x+8)^2
just took the test
YOO I NEED THIS RIGHT NOW!!
What is the difference of
[tex]( \frac{3}{4} x - \frac{2}{3} ) - ( - \frac{5}{6} + 2x)[/tex]
?
[tex] - \frac{5}{4} x + \frac{1}{6} [/tex]
[tex] - \frac{5}{4} x - \frac{1}{6} [/tex]
[tex] \frac{11}{4} x + \frac{1}{6} [/tex]
[tex] \frac{11}{4} x - \frac{1}{6} [/tex]
Answer:
The first option: -5/4x + 1/6.
Step-by-step explanation:
(3/4x - 2/3) - (-5/6 + 2x)
= (3/4x - 2/3) + 5/6 - 2x
= 3/4x - 2x - 2/3 + 5/6
= 3/4x - 8/4x - 4/6 + 5/6
= -5/4x + 1/6
So, the first option: -5/4x + 1/6.
Hope this helps!
Given \qquad m \angle AOC = 104^\circm∠AOC=104 ∘ m, angle, A, O, C, equals, 104, degrees \qquad m \angle AOB = 7x + 30^\circm∠AOB=7x+30 ∘ m, angle, A, O, B, equals, 7, x, plus, 30, degrees \qquad m \angle BOC = 9x + 42^\circm∠BOC=9x+42 ∘ m, angle, B, O, C, equals, 9, x, plus, 42, degrees Find m\angle BOCm∠BOCm, angle, B, O, C:
Answer:
∠BOC = 60°
Step-by-step explanation:
Given the following angles.
∠AOC=104°
∠AOB = (7x + 30)°
∠BOC= (9x + 42)°
Since all the angles have a common point at O, it can be inferred that;
∠AOC = ∠AOB + ∠BOC
104° = (7x + 30)° + (9x + 42)°
104° = 16x+72
16x = 104-72
16x = 32
x = 32/16
x = 2°
To get ∠BOC:
Since ∠BOC = 9x+42, we will substitute x = 2° into the equation to get the angle ∠BOC
∠BOC = 9(2) + 42
∠BOC = 18+42
∠BOC = 60°
6. Trail Bike Rentals charges a $16 fixed fee plus $8 per hour for renting a bike. Matt paid $72
to rent a bike. How many hours did Matt use the bike? Write an equation to represent this
scenario and solve for the variable. (2 marks)
please please help asap!
Answer:
7 hours
Step-by-step explanation:
The total amount is the flat fee plus the amount per hour times the number of hours
16 + 8h = 72
Subtract 16 from each side
16+8h-16 = 72 -16
8h = 56
Divide by 8
8h/8 = 56/8
h = 7
7 hours
Answer:
The equation is p = 8h+16
Mike rented a bike for 7 hours
Step-by-step explanation:
[tex]equation=8h+16\\Mike\\paid \\72\\\\72 = 8h+16\\Divide\\9=h+2\\Subtract\\7=h[/tex]
Hope it helps <3
The sum of two numbers is 30. If we double the larger number, and subtract three times the smaller number, the result is 5. What is the positive difference between the two numbers?
Answer:
8 is the difference, and 19 and 11 are the numbers. Hope this helped!
Answer: The difference is 8.
Step-by-step explanation:
We will let l represent the larger number s represent the smaller number.
so we know that L + S =30
Also 2L - 3S = 5 shows the relationship between the numbers.
Now we have two equations.
L + S =30
2L - 3S = 5 solve using any method.
L + S =30 solve for L and substitute it into the second equation.
L + S = 30
-S -S
L = 30 -S
2(30-s) - 3s = 5 Distribute
60 - 2s - 3s = 5 combine like terms
60 -5s = 5
-60 -60
-5s = -55
s = 11
We know the smaller number is 11 so to find the larger number we will subtract 11 from 30.
30 -11 = 19
The larger number is 19
so To find the difference we will subtract 11 from 19.
19 -11 = 8
The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5million. In which year is the maximum salary reached
In the 5th year
Step-by-step explanation:For the first year, the salary is 1.2million = 1,200,000
For the second year, the salary is 1.2million + 75000 = 1,200,000 + 75,000 = 1,275,000
.
.
.
For the last year, the salary is 1.5million = 1,500,000
This gives the following sequence...
1,200,000 1,275,000 . . . 1,500,000
This follows an arithmetic progression with an increment of 75,000.
Remember that,
The last term, L, of an arithmetic progression is given by;
L = a + (n - 1)d ---------------(i)
Where;
a = first term of the sequence
n = number of terms in the sequence (which is the number of years)
d = the common difference or increment of the sequence
From the given sequence,
a = 1,200,000 [which is the first salary]
d = 75,000 [which is the increment in salary]
L = 1,500,000 [which is the maximum salary]
Substitute these values into equation (i) as follows;
1,500,000 = 1,200,00 + (n - 1) 75,000
1,500,000 - 1,200,000 = 75,000(n-1)
300,000 = 75,000(n - 1)
[tex]\frac{300,000}{75,000} = n - 1[/tex]
4 = n - 1
n = 5
Therefore, in the 5th year the maximum salary will be reached.
Five times sum of a number, x,and nine is ten. What is the number?
Answer:
[tex]-7[/tex]
Step-by-step explanation:
[tex]5(x+9) = 10[/tex]
[tex]5x+45=10[/tex]
[tex]5x = -35[/tex]
[tex]x=-7[/tex]
Hope this helps.
Answer:
-7
Step-by-step explanation:
5(x + 9) = 10
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
...and is your order of operation.
First, divide 5 from both sides:
(5(x + 9))/5 = (10)/5
x + 9 = 10/5
x + 9 = 2
Next, isolate the variable x, by subtracting 9 from both sides:
x + 9 (-9) = 2 (-9)
x = 2 - 9
x = -7
x = -7 is your answer.
~
A shark is 80 feet below the surface of the water. It swims up and jumps out of the water to a height of 15 feet above the surface. Find the vertical distance the shark travels.
Answer:
∆y = 95 ft
the vertical distance the shark travels is 95 ft
Step-by-step explanation:
Given;
Initial position y1= 80 ft below the surface of water = -80ft
Final Position y2 = 15 ft above the surface = +15ft
The vertical distance travelled by the shark is;
∆y = y2 - y1 = 15 - (-80) ft
∆y = 15 +80 ft
∆y = 95 ft
the vertical distance the shark travels is 95 ft
(02.01 MC) A talent show broadcast on television asks viewers to call in to vote for their favorite act. Describe how the design of the survey leads to bias. (4 points) Select one: a. A voluntary response error was made in this design. This type of sampling only targets people with phones to call in and is not a good representation of the population. b. A convenience sample error was made in this design. This type of sampling only targets people with televisions and is not a good representation of the population. c. A voluntary response error was made in this design. This type of sampling only targets those who are passionate about a specific act and call in to vote; it is not a good representation of the population. d. A convenience sample error was made in this design. This type of sampling only targets people with access to that television channel and is not a good representation of the population. Incorrect e. There are no potential areas of bias.
Answer:
Option D is correct.
A voluntary response error was made in this design. This type of sampling only targets those who are passionate about a specific act and call in to vote; it is not a good representation of the population.
Step-by-step explanation:
When humans are given the choice whether to participate in a survey like in this question, most often than not, the survey becomes biased.
This is because only the people or set of people who feel strongly the most about the subject matter of the poll will participate in the survey. This favours the group that disagrees as this group, if given the choice to express their opinion, will most likely be the set of people that will readily express their discontent.
Discontent is more visibly and strongly expressed in humans.
In order to remove this bias, people should have been chosen at random and their responses recorded.
Hope this Helps!!!
please simplify this
Answer:
root 10
Step-by-step explanation:
After substituting, what is the first step when evaluating x + 3 x minus 4.2 when x = 5?
Answer:
Multiply the 3*5
Step-by-step explanation:
x+3x -4.2
Substitute x=5
5 + 3*5 -4.2
PEMDAS states multiply first
Multiply the 3*5
5 + 15 -4.2
Answer:
a!
Step-by-step explanation:
yw
A scalene triangle has the lengths 6, 11, and 12. Keyla uses the law of cosines to find the measure of the largest angle. Complete her work and find the measure of angle Y to the nearest degree. 1. 122 = 112 + 62 − 2(11)(6)cos(Y) 2. 144 = 121 + 36 − (132)cos(Y) 3. 144 = 157 − (132)cos(Y) 4. −13 = −(132)cos(Y)
Answer:
[tex]Y\approx 84^\circ $(to the nearest angle)[/tex]
Step-by-step explanation:
The lengths of the sides of the scalene triangle are 6, 11, and 12.
We want to use the law of cosines to find the largest angle.
Note that the largest angle is always opposite the largest side.
Therefore:
[tex]1. 12^2 = 11^2 + 6^2-2(11)(6)\cos(Y) \\\\2. 144 = 121 + 36-(132)\cos(Y) \\\\3. 144 = 157 - (132)\cos(Y) \\\\4. -13 = -(132)\cos(Y)\\\\\\5. \cos(Y) = \dfrac{-13}{-132} \\\\6. Y = \arccos \left ( \dfrac{13}{132}\right)\\\\7. Y=84.35^\circ\\\\8. Y\approx 84^\circ $(to the nearest angle)[/tex]
The largest angle is 84 degrees to the nearest angle.
Construct an inscribed circle in triangle PQR by finding the incenter of the triangle.
Answer:
Check it below
Step-by-step explanation:
Hello!
By definition, the intercept of the 3 bisectors, within a triangle is the Incenter. So let's get started, by tracing three bisectors.
In the triangle PQR::
Use a compass, open its legs with a little more than half of [tex]\overline{PQ}[/tex] . Place the needle point in the vertex of P. Mark!Do the same, placing the needle point in Q, following [tex]\overline{QP}[/tex] direction. MarkRepeat it with the other triangle's line segment, namely:[tex]\overline {QR},\:\overline{PR}[/tex]
4.Trace with a ruler, from each intersection point a line. You'll trace three lines then.
5. Place the compass' needle point in this intersection point, (inside the triangle) with a hinge up to the triangle side, draw the circle inscribed.
Answer:
edg but few yrs later
Step-by-step explanation:
Please help me with this! Be very grateful.
Answer:
Length of A=6
Breadth of A=24/6=4
Length of B=6
Breadth of B=12/6=2
Step-by-step explanation:
Total surface area: 36
Ratio is 2:1
So, 2x + 1x = 36
3x=36
x=36/3
x=12
2*12=24
1*12=12
So areas are 24 and 12 respectively
Now, we can say that the sides of the square will be same, 6 cm
6*6=36
so the length of both rectangles will be 6
Hence we can divide each area by 6 and find the breadth.
Length of A=6
Breadth of A=24/6=4
Length of B=6
Breadth of B=12/6=2
Stay safe and stay cool
Hope it helps you.
MARK AS BRAINLIEST PLEASE
Graphically, a point is a solution to a system of two inequalities if and only if the point
o lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality
O lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality
O lies in the shaded regions of both the top and bottom inequalities
x does not lie in the shaded region of the top or bottom inequalities.
Intro
Done
Answer:
Lies in the shaded regions of both the top and bottom inequalities.
Step-by-step explanation:
The point of solution for BOTH systems of inequalities must work for both equations. Therefore, the point has to lie in both top and bottom shaded regions or it won't work for both, but just one.
Answer:
C: Lies in the shaded regions of both the top and bottom inequalities.
Step-by-step explanation:
Hope this helps!
Abby earns $7 per hour working as a cashier at a cafe. She earned $ blank in a week in which she worked 28 hours. She earned $ blank in a month which she worked 112 hours.
Answer:she earned 196$ in a week in which she worked 28 hours. she earned 784$ in a month which she worked 112 hours.
196$ and 784$ are your answers
Step-by-step explanation:
Helppp!!!! please!!!
Answer:
d. 15 square yard
Step-by-step explanation:
[tex]area \: of \: shape \\ = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 10 \times 3 \\ \\ = \frac{1}{2} \times 30 \\ \\ = 15 \: {yd}^{2} [/tex]
Express ⁴/100 as a decimal fraction
Answer:
To do that you must divide 4 by 100
Step-by-step explanation:
4 divided by 100 is 0.04
Answer:
4/100
Run two decimal places forward
that's
0.04
Hope this helps you
Without multiplying, order the following products from least to greatest. 23* 2/2 23* 1/4 23* 13/5
12
y= x2 + x-2
x+ y=1
If (x, y) is a solution of the system of equations
above, which of the following is a possible value of
xy?
A) 7
B 1
C) -1
D) -12
Answer:
D,xy=-12
Step-by-step explanation:
y=x²+x-2
x+y=1
or x+x²+x-2=1
x²+2x-3=0
x²+3x-x-3=0
x(x+3)-1(x+3)=0
(x+3)(x-1)=0
either x=-3
or x=1
when x=-3
x+y=1
-3+y=1
y=1+3=4
one solution is (-3,4)
xy=-3×4=-12
if x=1
1+y=1
y=0
second solution is (1,0)
xy=1×0=0
The function f(x) = 4e* when evaluated for f(2) is:
Answer:
The function f(x) = 4e* when evaluated for f(2) is:
Step-by-step explanation:
Its slope must be m= f'(0).
f'(x) = 8e2x ⇒ m = f'(0) = 8
y - y1 = m(x - x1)
m = 8
y1 = 10
x1 = 0
cause
What is the median of the data set?
24) The sum of Sh.51000 was shared among three partners; Amos, John and peter such that the ratio
of Amos : John = 4:3 while John: Peter = 2:1. Calculate the amount received by Peter. (3 marks)
Answer:
Sh. 9000
Step-by-step explanation:
John : Peter = 2 : 1
John/peter = 2/1
John = 2 Peter.... (1)
Amos : John = 4:3
Amos/John = 4/3
Amos = 4/3 John.. (2)
From (1) & (2)
Amos = 4/3 * 2 Peter = 8/3 Peter.... (3)
Since,
Amos + John + Peter = 51000
Therefore,
8/3 Peter + 2peter + Peter = 51000
(8+6+3)/3 *Peter = 51000
17/3 * Peter = 51000
Peter = 51000 * 3/17
Peter = 3000 * 3
Peter = 9000
Hence, amount received by Peter is Sh. 9000.
expand the following 4 (x - 1)
Answer:
4x - 4
Step-by-step explanation:
4 × x = 4x
4 × -1 = -4
4x - 4
Answer:
4x-4
Step-by-step explanation:
4(x-1) 4*x-1*44x-4A scientist measured the amounts of fertilizer given to plants, the heights to which the plants grew, and the amount of fruit the plants produced. 2 2-column tables with 5 rows. For table 1, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled Height of tree (inches) with entries 50, 52, 36, 35, 50. For table 2, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled amount of fruit produced (pounds) with entries 112, 115, 87, 85, 112. The scientist graphed the two sets of data and found that a positive correlation exists in each set. Which statement explains whether there is a relationship between the height of the tree and the amount of fruit produced. Although fertilizer is in both data sets and is positively correlated, only a weak correlation can exist between tree height and fruit yield. Although fertilizer is in both data sets and is positively correlated, it is impossible for any correlation to exist between tree height and fruit yield. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is likely that tree height and fruit yield are negatively correlated. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.
Answer:
d. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.
Step-by-step explanation:
The correlation refers to the relationship between two or more variables i.e how they are interrelated to each other. It can be positive, negative, perfect, etc
As we can see in the figure that in both the data sets the fertilizer contains the same values which depict that they are positively correlated with respect to the height of tree and fruit yield that derives that the height of tree and fruit yield is also positively correleated
Here positive correlation means that the two variables moving in a similar direction i.e if one variable increased so the other is also increased
Therefore the option d is correct
Answer:
D
Step-by-step explanation:
I got it right on the test.
Trust me
Find the distance between 1, 4) and (4,0).
Please helpppp meee
Answer:
5
Step-by-step explanation:
Distance formula
[tex]\sqrt{ (0-4)^2 + (4-1)^2}\\\sqrt{16 + 9)}\\ \sqrt{25\\[/tex]
Given: ∆ABC – iso. ∆, m∠BAC = 120° AH ⊥ BC , HD ⊥ AC AD = a cm, HD = b cm Find: P∆ABH
P = _____ cm
Answer:
P = 5.4641b cm.
Step-by-step explanation:
If the triangle ABC is isosceles and m∠BAC = 120°, we have that:
[tex]mACB = mABC = (180-120)/2 = 30\°[/tex]
Then, in triangle ABH, we have:
[tex]mABH + mBHA + mHAB = 180\°[/tex]
[tex]30\° + 90\° + mHAB = 180\°[/tex]
[tex]mHAB = 60\°[/tex]
If m∠BAC is 120°, we have:
[tex]mHAB + mHAC = 120\°[/tex]
[tex]m∠HAC = 60\°[/tex]
Now we can find the length of AH using the sine relation of angle m∠HAC:
[tex]sin(mHAC) = DH / AH[/tex]
[tex]0.866 = b / AH[/tex]
[tex]AH = b / 0.866 = 1.1547b[/tex]
Now, to find the length of HB and AB, we can use the tangent and cosine relation of the angle m∠HAB:
[tex]tan(mHAB) = HB / AH[/tex]
[tex]1.7321 = HB / 1.1547b[/tex]
[tex]HB = 1.7321 * 1.1547b = 2b[/tex]
[tex]cos(mHAB) = AH / AB[/tex]
[tex]0.5 = 1.1547b / AB[/tex]
[tex]AB = 1.1547b / 0.5 = 2.3094b[/tex]
So the perimeter of triangle ABH is:
[tex]P(ABH) = AB + HB + AH[/tex]
[tex]P(ABH) = 2.3094b + 2b + 1.1547b[/tex]
[tex]P(ABH) = 5.4641b[/tex]
The relation of a and b can be calculated using the tangent relation of the angle m∠HAC:
[tex]tan(mHAC) = DH / AD[/tex]
[tex]1.7321 = b / a[/tex]
[tex]b = 1.7321a[/tex]