Answer:
The probability is 0.044
Step-by-step explanation:
Step-by-step explanation:
Let p be the probability that the new principal’s performance is approved.
This is obtainable from the survey and it is 8/10 = 0.8
Let q be the probability that the new principal’s performance is disproved.
That will be;
1 - q = 1- 0.8 = 0.2
To calculate the probability that 14 parents names are chosen at random and they all
approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.
That will be;
14C14 * p^14 * q^0
= 1 * 0.8^14 * 0.2^0
= 0.043980465111 which is approximately 0.044
help please like PLEASE ASAP
Answer:
1/5^5
Step-by-step explanation:
Flip the equation into a fraction.
:>
2
Type the correct answer in each box. Use numerals instead of words.
The domain of this function is {-12, -6, 3, 15).
y =
ir +7
Complete the table based on the given domain.
х
у
-6
5
15
15
Reset
Next
Answer:
the first one x is 6 and y is 11
the second one y is 5 and x is 3
the third one x is 15 and y is 17
the fourth one y is 15 and x is -12
Step-by-step explanation:
to find the first answer you have to use the actual equation given and substitute the value of x in it
y=-2(-6)/3+7
=12/3+7
=4+7
=11
the second one is quite different because the value of y has been given and not x so you have to substitute the value of y in the equation which is 5
5=-2x/3+7
5-7=-2x/3
-2/1=-2x/3
-2x/-2=-6/-2
x=3
for the third one you have to solve it like the first one
y=-2(15)/3+7
=10+7
=17
the fourth one is similar to the second one
15=-2x/3+7
15-7=2x/3
8=2x/3
-2x/-2=24/-2
x=-12
I hope this helps
Mr. Mark's class has 32 students in which 20 are girls. What is the ratio of the girls to the boys?
Hello!
32 students (girls+boys)
20 (girls)
32-20 = 12 (boys)
The ratio of girls to the boys
= 20:12
= 5:3
D is the answer.
Good studies!
Can someone help me with this math homework please!
1. a= 19
2.2 ( second option)
3.C
4D
Find the line’s slope and a point on the line
Y-4=-3/4(x+5)
Answer:
The slope is -3/4 and a point on the line is (-5,4)
Step-by-step explanation:
This equation is in point slope form
y -y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
Y-4=-3/4(x+5)
Y-4=-3/4(x - -5)
The slope is -3/4 and a point on the line is (-5,4)
40 points Please help!!!
What is the volume of this regular prism?
48.55 cubic inches
55.8 cubic inches
9.7 cubic inches
24.28 cubic inches
Answer:
V = 24.28 in ^3
Step-by-step explanation:
The area of the base is
A =5/2 × s × a where s is the side length and a is the apothem
A = 5/2 ( 2.13) * .87
A = 4.63275
The volume is
V = Bh where B is the area of the base and h is the height
V = 4.63275 ( 5.24)
V =24.27561 in^3
Rounding to the hundredth
V = 24.28 in ^3
Karina solves the system using linear combination and arrives at the question 116y=96.28. She then solves this equation for y. Which statement explains karina's solution
Answer:
116y = 96.28
---- ---------
116 116
y = 0.83--------
Answer:
0.83-------
Step-by-step explanation:
Find the sum of a geometric series of which a1=7, n=4 and r=3
Answer:
280
Step-by-step explanation:
Use the formula: (a((r^n)-1))/(r-1)
= (7((3^4)-1))/(3-1)
The sum of the given geometric series is 280.
We have given that,
a1=7, n=4 and r=3
We have to determine the sum of a geometric series
What is the formula sum of the geometric series?[tex]S_n=(a((r^n)-1))/(r-1)[/tex]
[tex]= (7((3^4)-1))/(3-1)[/tex]
[tex]=280[/tex]
Therefore the sum of the given geometric series is 280.
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A mine extracts 2 metric tons of coal in an hour. The mine uses ton of the extracted coal every hour to generate electricity for the mine and sells the rest. If t is the number of hours spent mining, which expression represents the amount of ore sold? How much ore can the mine sell after extracting ore for 12 hours?
Answer:
A
Step-by-step explanation:
Got it right!! <3
Pls mark brainliest ^^
In a class of 75 students, the number of girls is just half that of the
number of boys. How many girls are there in the class? How many
boys are there in the class?
Answer:
25 girls and 50 boys
Step-by-step explanation:
let x be the number of boys
let x/2 be the number of girls
x + x/2 = 75
3x/2 = 75
3x = 150
x = 50
there are 50 boys and 50/2 = 25 girls.
check:
50 + 25 = 75
what are the values of angles G and H?
Answer:
G = 78°
H = 98°
Step-by-step explanation:
Opposite angles in a cylic quadrilateral are supplementary. Therefore:
G + E = 180°
Substitute
8x + 1 + 11x + 8 = 180°
Add like terms
19x + 9 = 180°
19x + 9 - 9 = 180° - 9
19x = 171
19x/19 = 171/19
x = 9
G = 8x + 1
Plug in the value
G = 8(9) + 1 = 73°
H + F = 180° (opposite angles of a cyclic quadrilateral is equal?
Plug in the values
6y - 4 + 5y - 3 = 180°
Add like terms
11y - 7 = 180
11y = 180 + 7
11y = 187
y = 187/11
y = 17
H = 6y - 4
Plug in the value of y
H = 6(17) - 4
H = 98°
which of the following are exterior angles?
Answer:
A, B, E
Step-by-step explanation:
Exterior angles are angles that are outside the shape. In this case, angle 4, 3 and 2 are exterior angles.
A car travelling at v kilometers per hour will need a stopping distance, d, in meters without skidding that can be modelled by the function d=0.0067v2+0.15v. Determine the speed at which a car can be travelling to be able to stop within 37m.
I’m need of serious help!
Answer:
v = 14 km/h
Step-by-step explanation:
d = 0.0067[tex]v^{2}[/tex] + 0.15v
differentiate the function with respect to v to have;
d = 0.0134v - 0.15
given that the distance without skidding = 37 m (0.037 km) , then;
0.037 = 0.0134v - 0.15
0.0134v = 0.037 + 0.15
= 0.187
v = [tex]\frac{0.187}{0.0134}[/tex]
= 13.9552
v = 14 km/h
The speed of the car travelling would be 14 km/h to be able to stop within 37m.
which of the following equations have complex roots?
9514 1404 393
Answer:
B. 3x² +2 = 0
Step-by-step explanation:
The equation of A has a couple of real roots. We're pretty sure there are complex numbers that will satisfy this equation, but we don't know how to find them. (We suspect a typo, and that the equation is supposed to be 2x² +1 = 7x, which has only real roots.)
__
The equation of B can be rewritten as ...
x² = -2/3
This will have complex roots.
__
The discriminants of both equations C and D are positive, so those have only real roots.
2x² -5x -1 ⇒ d = (-5)² -4(2)(-1) = 33
3x² -6x -1 ⇒ d = (-6)² -4(3)(-1) = 48
Find the value of x.
A. 99
B. 9
C. 90
D. 11
ILL GIVE BRAINLIEST
Answer:
B) 9
Step-by-step explanation:
Because there's a square between the 2 angles, that means these angles are complementary (angles that add up to 90°). So:
5x - 9 + 6x = 90
11x - 9 = 90
11x = 90 + 9
11x = 99
x = 9
Answer:
B.9
Step-by-step explanation:
The way to solve this is by noticing that these angles are complementary(they add up to 90 degrees). So you add the equations together and equal them to 90. 5x-9+6x=90.Then you solve to find that x=9.
The square root of 0.25 is 0.5 which is a greater number. Give another number whose square root is larger than the number and explain why.
Answer:
Another example of a number who's square root is greater than the number is [tex]\sqrt{0.49}[/tex] which is 0.7
Step-by-step explanation:
This square root is larger than the number because it is a decimal. When you multiply a decimal by a decimal, the decimal point becomes greater. For example: 0.7 multiplied by 0.7 equals 0.49 which has 2 decimal places, while 0.7 only has one.
The number of cities in a region over time is represented by the function C(x)=2.9(1.05)^x. The approximate number of people per city is represented but the function P(x)=(1.05)^3x+5
Which Function best describes T(x), the approximate population in the region?
HELP!!! PLS
Answer:
B. [tex]T(x) = 2.9\cdot (1.05)^{4\cdot x + 5}[/tex]
Step-by-step explanation:
The approximate population in the region is the product of the number of cities in a region and the approximate number of people per city, that is:
[tex]T(x) = C(x)\cdot P(x)[/tex] (1)
If we know that [tex]C(x) = 2.9\cdot (1.05)^{x}[/tex] and [tex]P(x) = (1.05)^{3\cdot x + 5}[/tex], then the formula for the approximate population in the region is:
[tex]T(x) = [2.9\cdot (1.05)^{x}]\cdot [(1.05)^{3\cdot x + 5}][/tex]
[tex]T(x) = 2.9\cdot (1.05)^{4\cdot x + 5}[/tex]
Hence, correct answer is B.
What is the simplest version of 9/16×4/18
Answer:
1/8
Step-by-step explanation:
9/16 * 4/18
Rewriting
9/18 * 4/16
9/18 = 1/2 and 4/16 = 1/4
1/2 * 1/4
1/8
Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
[tex]\frac{9}{16}[/tex] x [tex]\frac{4}{18}[/tex] = [tex]\frac{(9)(4)}{(16)(18)}[/tex]
[tex]\frac{(9)}{(18)}[/tex] = [tex]\frac{1}{2}[/tex]
[tex]\frac{4}{16}[/tex] = [tex]\frac{1}{4}[/tex]
[tex]\frac{(1)(1)}{(2)(4)}[/tex] = [tex]\frac{1}{8}[/tex]
help help help pls pls
Answer:
see explanation
Step-by-step explanation:
Under a clockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
(3, 3 ) → (- 3, 3 )
(3, 4 ) → (- 4, 3 )
(5, 3 ) → (- 3, 5 )
What value of x is in the solution set of 8x – 6 > 12 + 2x?
(answer choices are -1, 0, 3, 5)
Answer:
[tex]Given:[/tex]
[tex]8x-6 > 12 + 2x[/tex]
[tex]8x-2x>12+6[/tex]
[tex]6x>18[/tex]
[tex]x>18/6[/tex]
[tex]x>3[/tex]
[tex]5>3[/tex]
[tex]ANSWER: D)\:5[/tex]
------------------------
Hope it helps...
Have a great day!!
If in the equation [ 4/t-1 = 2/w-1 ] t ≠ 1 and w ≠ 1, then t =
a) 2w-1
b) 2(w-1)
c) x-2
d) 2w
t=2w-1
OPTION A is the correct answer...
Find the equation of the line passing through the point (-3.6, 2.1) and parallel
to the line 4.9x + 5.4y = 3
Answer:
y = -4.9/5.4x - 1.17
Step-by-step explanation:
First let's convert the equation to standard form of y = mx + b.
4.9x + 5.4y = 3
Subtract 4.9x from both sides.
5.4y = -4.9x + 3
Divide each term by 5.4.
y = -4.9/5.4x + 0.56
If two lines are parallel to each other, they have the same slope slopes.
The first line is y = -4.9/5.4x + 0.56. Its slope is -4.9/5.4. A line parallel/perpendicular to this one will also have a slope of -4.9/5.4.
Plug this value (-4.9/5.4) into your standard point-slope equation of y = mx + b.
y = -4.9/5.4x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-3.6, 2.1). Plug in the x and y values into the x and y of the standard equation.
2.1 = -4.9/5.4(-3.6) + b
To find b, multiply the slope and the input of x (-3.6)
2.1 = 3.27 + b
Now, subtract 3.27 from both sides to isolate b.
-1.17 = b
Plug this into your standard equation.
y = -4.9/5.4x - 1.17
This equation is parallel/perpendicular to your given equation (y = -4.9/5.4x + 0.56) and contains point (-3.6, 2.1)
Hope this helps!
How many three-digit numbers can you make if you are not allowed to use any other digits except 4 and 0?
Answer:
There is a slight problem with this question
Do numbers starting with "0" count as a digit position
I would say no, thus the answer is 4...
if you are allowed to use 0 then the answer is 8
in other words if the question was using only 4's and 1's then the answer would be 8
Step-by-step explanation:
000
004
040
044
400
404
440
444
Find questions attached.
Show workings.
Answer:
a. The required proof is obtained from triangles OAB and ABC formed by joining AB and that we have;
A[tex]\hat O[/tex]B + 2∠C = 180°, 2·A[tex]\hat P[/tex]B + 2∠C = 180°
∴ A[tex]\hat O[/tex]B = 2·A[tex]\hat P[/tex]B
b. i) P[tex]\hat S[/tex]S = P[tex]\hat R[/tex]Q, given that angles subtended by the same arc or chord are equal, therefore, in ΔPQS, we have;
[tex]\left | PS \right |[/tex] = [tex]\left |PQ \right |[/tex]
ii) S[tex]\hat Q[/tex]P = 45°, [tex]S\hat R Z[/tex] =90°
Step-by-step explanation:
a. The given parameters are;
The center of the circle is point O
Points on the circumference of the circle = A, B, and P
Required to be proved, A[tex]\hat O[/tex]B = 2·A[tex]\hat P[/tex]B
Let ∠O represent A[tex]\hat O[/tex]B and let ∠P' represent A[tex]\hat P[/tex]B
We draw a line from the center O to the point P, and a line joining points A and B on the circumference of the circle
In ΔOAB, we have;
∠O + 2∠C = 180° (The sum of the interior angles of a triangle)
In ΔAPB, we have;
∠P' + ∠(C - a) + ∠(P' + C + a) = 180°
∴ 2·∠P' + 2·∠C = 180°
Therefore, by addition property of equality, we get;
∠O = 2·∠P'
Therefore;
A[tex]\hat O[/tex]B = 2·A[tex]\hat P[/tex]B
b. i) The given parameters are;
Points on the circle = P, Q, R, and S
P[tex]\hat Q[/tex]S = P[tex]\hat R[/tex]Q
According to circle theory, the angles which an arc or chord subtends in a given segment are equal, therefore;
P[tex]\hat S[/tex]S = P[tex]\hat R[/tex]Q
Therefore, P[tex]\hat S[/tex]S = P[tex]\hat Q[/tex]S by transitive property of equality
P[tex]\hat S[/tex]S and P[tex]\hat Q[/tex]S are base angles of ΔPQS, given that P[tex]\hat S[/tex]S = P[tex]\hat Q[/tex]S, we have;
ΔPQS is an isosceles triangle with base QS and therefore, the sides PS and PQ are the equal sides
Therefore, we have;
[tex]\left | PS \right |[/tex] = [tex]\left |PQ \right |[/tex]
ii) Given that SQ is the diameter of the circle, we have by circle theorem, the angle subtended on the circumference by the diameter = 90°
∴ [tex]S\hat PQ[/tex] = 90°
From (i), we have that P[tex]\hat S[/tex]S = P[tex]\hat Q[/tex]S, therefore, in triangle ΔPQS, we have;
[tex]S\hat PQ[/tex] + P[tex]\hat S[/tex]S + S[tex]\hat Q[/tex]P = 180°
Therefore;
90° + P[tex]\hat S[/tex]S + S[tex]\hat Q[/tex]P = 180°
P[tex]\hat S[/tex]S + S[tex]\hat Q[/tex]P = 180° - 90° = 90°
P[tex]\hat S[/tex]S = P[tex]\hat Q[/tex]S, therefore, P[tex]\hat S[/tex]S + S[tex]\hat Q[/tex]P = 2·S[tex]\hat Q[/tex]P
P[tex]\hat S[/tex]S + S[tex]\hat Q[/tex]P = 2·S[tex]\hat Q[/tex]P = 90°
S[tex]\hat Q[/tex]P = 90°/2 = 45°
S[tex]\hat Q[/tex]P = 45°
Similarly, given that SQ is the diameter, of the circle the angle [tex]S\hat R Q[/tex] formed by jointing S to Q is 90°
[tex]S\hat R Q[/tex] = 90°
[tex]S\hat R Q \ and \ S\hat R Z[/tex] are angles on a straight line and are therefore, supplementary, therefore;
[tex]S\hat R Z[/tex] = 180° - [tex]S\hat R Q[/tex]
[tex]S\hat R Z[/tex] = 180° - 90° = 90°
[tex]S\hat R Z[/tex] =90°.
1,4,9 find the fifth pattern
Answer:
1, 4, 9, 16, 25
Step-by-step explanation:
The pattern increases by an odd number. It can be seen that;
n²
for the first pattern
1²=1
for the second pattern
2²=4
for the third pattern
3²=9
for the forth pattern
4²=16
for the fifth pattern
5²=25
What is “8 - 4(-x + 5)” equivalent too?
Answer:
4x -12
Step-by-step explanation:
8 - 4(-x + 5)
Distribute
8 -4(-x) -4(5)
8 +4x -20
4x -12
answer 4( - 3 + x)
factor expression 4(2 - ( - x + 5)4(2 + x - 5)answer
[tex]4( - 3 + x)[/tex]
simplify the expression[tex]8 - 4( - x + 5)[/tex]
answer
[tex] - 12 + 4x[/tex]
Help me please please help me please
Answer:
the first one...
the cost of renting the ally for 14 hours
Step-by-step explanation:
Answer:
the first one
the number of dollars it costs to rent the bowling lane for14 hours
please help me on this, thank you
Answer:
the formula
Step-by-step explanation:
substitute the formula with the numbers give n-2 is number of sides -2 fyi
Please read below. Thank you.
Answer:
desmos .com
Step-by-step explanation:
Answer: See the graph below
Step-by-step explanation:
Concept:
Formula for circle: (x - k )² + (y - h)² = r²
Center = (k, h)
Radius = r
**Disclaimer** variables used can be different
------------------------------------------------------------------------
Solve:
Given: (x - 2)² + (y + 3)² = 16
Center = (2, -3)
Radius = √16 = 4
Hope this helps!! :)
Please let me know if you have any questions
Ryan received a box of jelly beans for his birthday. The jelly beans in the box have five
different flavors. The table below shows how many jelly beans of each flavor are in the box.
JELLY BEANS
Flavor
Number
Grape
16
Licorice
10
Cherry
12
Lemon
14
Lime
8
The jelly beans are all the same shape and size. Ryan does not like licorice or lime. What is the
probability that he will pick a jelly bean from the full box that has a flavor he does like? Show
and explain your work.
Answer:
24/60 does not like 36/60 does like
36/60 = .6 which is 60% chance
Step-by-step explanation:
The probability that Ryan will pick a jelly bean that has a flavor he likes is 0.7
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:[tex]P(A)=\frac{n(A)}{n(S)}[/tex]
where, [tex]n(A)[/tex] is the number of favorable outcomes
is [tex]n(S)[/tex] the total number of events in the sample space.
From given data:
Ryan received a box of jelly beans with
Grape - 16
Licorice - 10
Cherry - 12
Lemon - 14
Lime - 8
So, there are total 16 + 10 + 12 + 14 + 8 = 60 jelly beans.
Ryan does not like licorice or lime.
⇒ 10 + 8 = 18 jelly beans he does not like.
This means, he likes 60 - 18 = 42 jelly beans.
Now, we find the probability of jelly beans that has a flavor he likes.
⇒ P = (number of grape, cherry, lemon jelly beans) / (total number of jelly beans)
⇒ [tex]P=\frac{42}{60}[/tex]
⇒ [tex]\bold{0.7}[/tex]
Therefore, the probability that Ryan will pick a jelly bean from the full box that has a flavor he does like is 0.7
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