Answer:
Step-by-step explanation:
wow, they really try to make these probablity questions difficult. so they say 5 but really, b/c the 1st one is heads , we are tossing the coin 4 more times, to find 3 heads b/c we already got one. wow, I'm mad at the teacher that asked this. :P Just say 4 flips for 3 heads.
P(H) = heads
P(H) =1/[tex]2^{4}[/tex] probability is 1/[tex]2^{4}[/tex] because we have two outcomes and four tries.
P(H) = 1/16
P(H>=3) 3 * 1/16
P(H>=3) = 3/16
if there is an argument that you have to take 1/[tex]2^{5}[/tex] into account by the teacher tell them that it was already resolved , the first flip is not a "probablity" any longer. It's heads, 100% , it doesn't affect the next tosses b/c this is a "fair" coin and it's going to land on heads 50% of the time, for every toss. Just my rant. :P
A courier service delivers packages which cost $1.60 per package to deliver. The fixed cost to run the delivery van is $56.00 per day. If the company charges $5.60 per package, how many packages must be delivered daily to break even?
Answer:
14 packages
Step-by-step explanation:
profit = revenue - expenses
we want profit to be 0
0 = revenue - expenses
revenue = 5.60 per package = 5.60 * number of packages
expenses = 56 + 1.60 per package = 56 + 1.6 * number of packages
0 = revenue - expenses
let's say the number of packages = n
0 = 5.6 * n - (56 + 1.6 * n)
= 5.6n - 56 - 1.6n
= -56 + 4n
add 56 to both sides to isolate the variable and its coefficient
56 = 4n
divide both sides by 4 to isolate the variable
n = 14
Anybody want to help with math?
(5x^4+6x^3-9x^2)-(-6x^4-6x^3+8x)
Ty :D
Answer:
11x⁴+12x³-9x²-8x
Step-by-step explanation:
M.a.t.h.w.a.y
evaluate |-7| + 3|4|
|-7| + 3|4|
7 + 12
19
hope it helps...!!!
Answer: Heyaa! ~
Your Answer Is 19, Which is C.
Step-by-step explanation:
The absolute value of a number is always positive, so |-7| is 7 and |4| is 4. 4 * 3 = 12 and 12 + 7 is 19.Order of operations:
PEMDAS
ParenthesisExponentMultiplyDivideAddSubtractHopefully this helps you! ^
What is the exact value of tan 75?
Answer:
2 + √3.
Step-by-step explanation:
tan 75 = tan (45 + 30)
= (tan 45 + tan 30) / (1 - tan 45 tan 30)
= ( 1 + 1/√3) / (1 - 1*1/√3)
= (1 + √3) / √3 * √3 / (√3 - 1)
= √3 + 1/ √3 - 1
Multiply top and bottom by √3 + 1;
= (√3 + 1)(√3 + 1) / (√3 - 1)(√3 + 1)
= 3 + 2√3 + 1 / (3 - 1)
= (4 + 2√3) / 2
= 2 + √3.
guys,help please with geometry if u can)
1. In triangle ABC, angle A is 30, angle B is 45, AC=9 Find BC.
2. Sides AB and AC of triangle ABC are 6 and 10 respectively, angle BAC is 120 Find the length of side BC.
3. In the triangle ABC BC35, AC13, AB43. Find the angle C. Give the answer in degrees.
maybe give me answers to two of them, don't really care,just try please.
Answer:
1.6.36 cm
2
Step-by-step explanation:
Using sine rule to find the length of the BC.
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
Part 1
Set B
Part 2
We can use the FOIL method to multiply these expressions:
[tex]\textsf{FOIL}: \quad(a+b)(c+d)=ac+ad+bc+bd[/tex]
However, as all the expression are in the format [tex](a+b)^2[/tex], we can use the shortcut: [tex](a+b)^2=a^2+2ab+b^2[/tex]
Part 3
Using the shortcut to find the products:
[tex]\begin{aligned}\implies (x+5)(x+5)& =(x+5)^2\\ & =x^2+2(x)(5)+5^2\\ & =x^2+10x+25\end{aligned}[/tex]
[tex]\begin{aligned}\implies (2x+9)(2x+9) & = (2x+9)^2\\ & = (2x)^2+2(2x)(9)+9^2\\ & = 4x^2+36x+81\end{aligned}[/tex]
[tex]\begin{aligned}\implies (x+1)^2 & = x^2+2(x)(1)+1^2\\ & = x^2+2x+1\end{aligned}[/tex]
Part 4
A new example of a multiplication problem based on the structure of Set B is: [tex](3x+2)(3x+2)[/tex]
[tex]\begin{aligned}\implies (3x+2)(3x+2) & = (3x+2)^2\\ & = (3x)^2+2(3x)(2)+2^2\\ & = 9x^2+12x+4\end{aligned}[/tex]
Part 5
An example of a multiplication problem that would NOT be included in Set B based on its structure is: [tex](x+2)(x-2)[/tex]
We cannot use the derived Set B shortcut (from part 2) to multiply this expression. Instead, we would have to use a different shortcut of "The Difference of Two Squares" to find the product of this example expression.
PLEASE WILL GIVE 50 POINTS PLEASE ANSWER
Answer:
AB = 75
BC = 60
AC = 45
m∠A = 53°
m∠B = 37°
m∠C = 90°
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)Given:
[tex]\sf \tan(A)=\dfrac{60}{45}[/tex]
Therefore:
side opposite angle A = BC = 60side adjacent angle A = AC = 45To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:
[tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AC² + BC² = AB²
⇒ 45² + 60² = AB²
⇒ AB² = 5625
⇒ AB = √5625
⇒ AB = 75
To find m∠A:
[tex]\implies\sf \tan(A)=\dfrac{60}{45}[/tex]
[tex]\implies\sf A=\tan^{-1}\left(\dfrac{60}{45}\right)[/tex]
[tex]\implies\sf A=53^{\circ}\:(nearest\:degree)[/tex]
m∠C = 90° (as it is a right angle)
The interior angles of a triangle sum to 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 53° + m∠B + 90° = 180°
⇒ m∠B = 180° - 53° - 90°
⇒ m∠B = 37°
Factor completely x2 - 6x2 – 5x + 30.
(x + 6)(x2 + 5)
(x - 6)(x2 + 5)
(x - 6)(x2 – 5)
(x + 1)(x2 - 5)
Step-by-step explanation:
−5x2−5x+30
=5(−x+2)(x+3)
Answer:
5(−x+2)(x+3)
Find the missing value so
that the two points have a
slope of 2/7.
(-1,-1) and (x,1)
Answer:
x = 6
Step-by-step explanation:
Slope = (y(2) - y(1))/(x(2) - x(1))
(-1 - 1) / (-1 - x)
If the slope is 2/7, it would be (-2/-1-x, where x would have to be 6)
(-2)/(-7) = 2/7, so x = 6
Check:
(-1 - 1) / (-1 - 6)
(-2)/(-7)
2/7 (Correct :))
Hope it helps :D
Scientists have sent a 62 kg rover to a new planet. The rover's force of gravity on this planet is 334.8 N. What is the gravity constant for this new planet?
Answer:
5.4 meters per square second
Step-by-step explanation:
If that rover was on the Earth the weight of it would be 620 N (62*10)
In the new planet the gravitational acceleration is not same as the earth it's definitely less than that of the earth
Let's take the gravity constant of the plant as x.
so, 62*x= 334.8 N
x= 334.8/62
x= 5.4
helppp asapppppppppp
Answer:
put a point on the 9 (the line on the left of 10) and on the -6 (the line to the left of -5).
a. 9 is located to the right of -6
b. use the symbol >
Step-by-step explanation:
A delivery truck drove 40 miles per hour. It took 2 hours to travel between two towns. What is the distance between the two towns
Answer:
80 miles
Step-by-step explanation:
40 miles per hour means you move 40 miles in one hour.
If it took 2 hours to travel between the two towns at 40 mph, multiply 40 by 2 and you get 80.
Hope this helps!
Answer:
your answer would be 80 miles
A drawing of a box with flowers painted on it. The length of the box is marked l, the width is marked 6 inches and the height is marked 2 inches.
Answer: If this is a 2D box, the length would be 2
Step-by-step explanation:
Find each value or measure. Assume that segments that appear to be tangent are tangent.
Answer:
Step-by-step explanation:
13). ( x - 2 )( x + 6 ) = 9 × 20
x² + 4x - 12 = 180
x² + 4x - 192 = 0
( x - 12 )( x + 16 ) = 0
[tex]x_{1}[/tex] = - 16
[tex]x_{2}[/tex] = 12
14). ( x + 4 )[( x + 4 ) + 3x ] = 8 × ( 8 + 19 )
( x + 4 )( 4x + 4 ) = 216
4( x + 4 )( x + 1 ) = 216
( x + 4 )( x + 1 ) = 54
x² + 5x + 4 - 54 = 0
x² + 5x - 50 = 0
( x - 5 )( x + 10 ) = 0
[tex]x_{1}[/tex] = - 10
[tex]x_{2}[/tex] = 5
15). x( x + 16 ) = 15²
x² + 16x - 225 = 0
( x - 9 )( x + 25 ) = 0
[tex]x_{1}[/tex] = - 25
[tex]x_{2}[/tex] = 9
16). Now is your turn. You can do it!
The measurements are given in the solution below.
What is a circle?Circle definition states a shape that consists of points, in a two-dimensional plane, equidistant from a given point.
Given that the circles we need to find the given missing values,
Using the properties of the circles,
1) (x-2) (x+6) = 20 × 9
x² + 6x - 2x - 12 = 180
x² + 4x - 192 = 0
x = 12 or x = -16.
2) 8 × (8+19) = x+4 (x+4 + 3x)
216 = x + 4 × (4x + 4)
216 = 4x² + 4x + 16x + 16
4x² + 20x - 200 = 0
x² + 5x - 50 = 0
x = 5 or x = -10
3) 15² = 16x
x = 225/16
x = 14.06
4) (x+7)² = 18 × 14
x² + 49 + 14x = 252
x² + 14x - 203 = 0
x = 8.87
x = -22.87
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Which choice is equal to 66
6
6
+ 66
6
6
+ 66
6
6
+ 36
3
6
+ 26
2
6
?
There are 11 1/8 picec that equals 1 3/8
Given the following triangle:
В(2x+4)
A(2x-9)
Find the measure of angle A:
Find the measure of angle B:
Answer:
A=61, B=74
Step-by-step explanation:
Because all the angles in a triangle add up to 180:
(2x+4) + (2x-9) + x = 180
If you solve that for x, you will get that x=35. Now you just plug in x to the angles A and B.
what is a solution of √7-2x+5=8
Answer: √7 / 2 - 3/2
Step-by-step explanation:
√7-2x+5=8
=> -2x + √7 = 3
=> x = √7 / 2 - 3/2
What is the value represented by the letter E on the box plot of the data?
45, 45, 50, 55, 60, 65, 72, 75, 80, 80, 90
А
B.
с
D
E
Enter your answer in the box.
Answer:
E = 90
Step-by-step explanation:
E represents the maximum value in the data set , that is
E represents the value 90
Answer:
E is 90
Step-by-step explanation:
the end of the box and whisker plot is the last number in chronoligical order. So the one all the way on the right, e is 90
A spinner is divided into 4 equal sectors that are colored green, red, yellow, and blue. The number of times the spinner lands on each color is listed below. image Which statement best explains whether the results listed in the table should cause the probability model for the given situation to be questioned?
The probability of landing on the 4 spinners divided into four equal parts will be P=25%
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Here the spinner is divided into four parts of the colours green, red, yellow, and blue.So the number of the sample variable are:-
P(S)=[red,green,yellow,blue]=[4]
The favourable outcome is given as:-
F[s]=[1]
So the probability will be given by:-
P={1}÷{4}=0.25=0.25x 100=25\%
Hence the probability of landing on the 4 spinners divided into four equal parts will be P=25%
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HELP ASAP
PLEASE HELP what is the measuring
Answer:
Step-by-step explanation:
Remark
No wonder you are posting this. You should never have to rely on a diagram to get an answer, and this diagram is particularly unreliable. What exactly does the peak mean? Does it tell you that the peak is both y and 20 degrees? I'm going to assume so. But it is a very shakey assumption.
Pick a triangle with 2 ys in it. The third angle hits one of the sides of the triangle. Every triangle has 180 degrees. The top angle is 20 degrees and all ys therefor are 20 degrees. So the third angle is y + y + x =180
The 2xs are in a quadrilateral near the top. All quadrilaterals have 360 degrees. q and one of the angles are vertically opposite. q is then known.
Givens
y = 20
third angle = x
solution
triangles with 2 ys (isosceles)
y + y + x = 180
2y + x = 180
y = 20
2*20 + x = 180
40 + x = 180
x = 140
Quadrillateral
140 + 140 + 20 + vertically opposite q = 360
300 + vertically opposite q = 360
vertically opposite q = 360 - 300
vertically opposite q = 60
Answer
q = 60
What is the slope of the line that passes through the points ( 1 , − 1 ) (1,−1) and ( − 8 , − 7 ) (−8,−7)? Write your answer in simplest form.
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-8}-\underset{x_1}{1}}}\implies \cfrac{-7+1}{-9}\implies \cfrac{-6}{-9}\implies \cfrac{-2}{-3}\implies \cfrac{2}{3}[/tex]
The slope of the line that passes through the points (1,−1) and (−8,−7) is m = 2/3.
What is the slope of a straight line?Slope tells how vertical a line is. The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.
Its slope would be: [tex]m = \dfrac{y-q}{x-p}[/tex]
Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
If a line passes through two points, then its slope can be calculated with the following :
[tex]m = \dfrac{y-q}{x-p}[/tex]
Plugging in our values, we get:
[tex]m = \dfrac{-7 + 1}{-8 - 1}[/tex]
Now, let's simplify our result:
[tex]m = \dfrac{-7 + 1}{-8 - 1}\\\\m = \dfrac{-6}{-9}[/tex]
m = 2/3
Therefore, the slope of the line that passes through the points (1,−1) and (−8,−7) is m = 2/3.
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Find the surface area?
A spinner is numbered from 1 through 10 with each number equally likely to occur. What is the probability of obtaining a number less than 4 or greater than 8 in a single spin?
Answer:
i believe its 5/10 or 1/2
Step-by-step explanation:
help ya girl out real quick!! 50 points for rewardd!
Answer:
Slope is 1
Step-by-step explanation:
Slope=RISE/RUN
You can see the slope is constant. To clarify we can do an example.
So rise can be 2
And run is also 2
Change in y is equal to change in x
so 2/2=1
Hope it helps
Slope
m=y2-y1/x2-x1m=2-0/6-4m=2/2m=1Find the value of the variable x (2x+12) and 8x-18
Answer: Below
Step-by-step explanation:
Just mutiply x on both sides which gives you 2x^2 + 12x then you mutiply 2x^2 then subtract that number on both sides and it gives you x = something then you distribute it on 8(something) - 18 you subtract
Answer:
Step-by-step explanation:
Just mutiply x on both sides which gives you 2x^2 + 12x then you mutiply 2x^2 then subtract that number on both sides and it gives you x = something then you distribute it on 8(something) - 18 you subtract
pleaseeeeeeeeee help me
Answer:
x=66
Step-by-step explanation:
35-13=22
22*3=66
x=66
Answer:
X=66
Step-by-step explanation:
66 divided by 3 =22
13+22=35
Find the probability of each event
Ashley is carrying ten pages of math
homework and three pages of English
homework. A gust of wind blows the
pages out of her hands and she is only able
to recover ten random pages. What is the
probability that she recovers all of her
math homework?
Answer:
Around 77%
Step-by-step explanation:
10/13 = 0.769
PLEASE HELP ME IM HONESTY SO CONFUSED WITH THE ANSWERS GIVEN
Answer:
C. The sum of 18 and half the product of 9 and 4.
help me please help
Step-by-step explanation:
n + 34 = 34 + n
commutative means you can change the sequence of the parts without changing the overall result.
g × h = h × g
s + 0 = s
b × 1 = b
the identity property points are to show that adding 0 or multiplying by 1 does not change anything.
À point has been translated left and down. Based on the graph, which could be true? Check all that apply.
Answer:
Step-by-step explanation:
B is the image of D
6 left
2 down
Answer: C (in choices)
B is the image E
6 down
5 left
Answer: D (in choices)
C is the image of D
1 left
2 down
Answer: F (in choices)
