Answer:
0.054
Step-by-step explanation:
We have the general binomial probability calculation as;
n C r * p^r * (1-p)^(n-r)
Where 1-p = 1-1/6 = 5/6
So we have ;
6 C 3 * (1/6)^3 * (5/6)^3
= 0.054
Whats different for the functions
Write the name of the definition, postulate, property or theorem that justifies the statement about the diagram.
The following are the statement justifications and explanatory reasons ;
(a) AD + DB = AB; Is justified by segment addition postulate
Reason
Segment addition postulate states that let A and B represent two points,
Then a third D can be on the line joining A and B, if and only if the
relationship between the points is according to the equation, AD + DB = AB
only
(b) m∠1 + m∠2 = m∠CDB; Is justified by angle addition postulate
Reason
Angle addition postulate states that given that a point B lies between an angle m∠AOC, then we have;
m∠AOC = m∠AOB + m∠BOC
(c) ∠2 ≅ ∠6; Is justified by vertically opposite angles theorem
Reason
Vertical angles formed by the crossing of two lines are always equal
(d) If D is the midpoint of [tex]\overline{AB}[/tex], then AD = [tex]\dfrac{1}{2}[/tex]×AB; Definition of midpoint
Reason
The midpoint of a line is the point that is of equal distance from both ends of the of the line. It is the point halfway between the endpoints
(e) If [tex]\underset{DF}{\rightarrow}[/tex] bisects ∠CDB then ∠1 ≅ ∠2; Definition of angle bisector
Reason
An angle bisector is a ray or line that divides an angle into two angles that are congruent
(f) m∠ADF + m∠FDB = 180°; Linear pair postulate
Reason
The linear pair postulate states that where we have two angles that form a linear pear (their addition forms a straight line), then the two angles are supplementary (their sum is 180°)
(g) ∠ADF and ∠4 are supplements, then m∠ADF + m∠4 = 180°; Definition of supplementary angle
Reason
Supplementary angle are defined as angles that when added together, have a sum of 180°
(h) If ∠4 is complementary to ∠5, and ∠6 is complementary to ∠5, then ∠4 ≅ ∠6; Transitive property
Reason
Transitive property states that given three real numbers, a, b, and c, if a = b and c = b, then a = c
Learn more about angle properties postulates, and theorems here;
https://brainly.com/question/14437065
Simplify (Asap️ )
please answer this if you know
(full steps required )
(please no spam answers)
see the attachment hope this helps you
If the functions f(x) and g(x) are
increasing on an interval, is the
interval? how about f(x) – g(x)?
Answer:
The difference will be increasing too
Step-by-step explanation:
If f(x) and g(x) is increasing in nature then
f(b) < f(a) and g(b) < g(a) for any a and b in the interval.
Subtracting these 2 equations, we get
f(b) - g(b) < f(a) - g(a) for any a and b in the interval.
Which means f-g is increasing in the interval (a, b) but as a and b were random real numbers we took, f(x) - g(x) will be increasing for an interval
A straight line PQ cuts the x andy axis at M and N respectively. If the points A(-3,5) and B(4,7) lies on PQ , calculate
1.the coordinate of M and N
2./AB/, correct to one decimal place
3.The eqation PQ
I need answers urgently.
pls
Jerry sold 320 tickets for the school play. He sold x adults tickets for $8 each and y child tickets for $5 each. He sold $1900 worth of tickets. Write a system of equations to model the situation.
What is the equation?
Answer:
x + y = 320
8x + 5y = 1900
Step-by-step explanation:
The equation x + y = 320 represents how 320 tickets were sold in total, from combining the adult and child tickets sold.
Since adult tickets are $8 each, the money from adult ticket sales can be represented by 8x.
The money from child ticket sales can be represented by 5y.
The equation 8x + 5y = 1900 represents how $1900 worth of tickets were sold.
So, the system of equations for the situation is:
x + y = 320
8x + 5y = 1900
Answer:
y = 220
x = 100
Step-by-step explanation:
x + y = 320
8x + 5y = 1900
x = 320 - y
8(320 - y) + 5y = 1900
2560 - 8y + 5y = 1900
2560 -3y = 1900
-2560 -2560
-------------------------
-3y = -660
----- -------
-3 -3
y = 220
x + 220 = 320
-220 -220
----------------------
x = 100
On a baseball field, the pitcher's mound is 60.5 feet from home plate. During practice, a batter hits a ball 214 feet at an
angle of 36° to the right of the pitcher's mound. An outfielder catches the ball and throws it to the pitcher. Approximately
how far does the outfielder throw the ball?
9514 1404 393
Answer:
169 ft
Step-by-step explanation:
The law of cosines can be used to find the distance from the outfielder to the pitcher. It tells you for triangle ABC, the length of side c can be found from ...
c² = a² +b² -2ab·cos(C)
Here, we hve a=60.5, b=214, and C=36°. Then the desired distance is ...
c = √(60.5² +214² -2·60.5·214·cos(36°)) ≈ √28507.56 ≈ 168.84
The outfielder throws the ball about 169 feet.
find the values of x and y.
Answer:
x=15.75 y=59
Step-by-step explanation:
In total there is 360 degrees. We know y is 59 so we will replace it with that.
59+59=118. 360-118=242. 242/2=121. 29+29=58. So we can subtract that to equal 63. Now 63=4x. We can divide so 2x=31.5. x=15.75.
Therefore, 15.75=x and 59=y
I hope this helped ^^.
5. PLEASE HELP ME
Write the equation in standard form. Then factor the left side of the equation.
2x2 + 7x = 15
A. (2x – 3)(x + 5) = 0
B. (2x + 3)(x + 5) = 0
C. (2x + 5)(x – 3) = 0
D. (2x – 5)(x + 3) = 0
Answer:
7x=11
Step-by-step explanation:
do it
Simplify each numerical expression.
1) 6 + 2 x 8 - 12 + 9 - 3
Answer:
16
Step-by-step explanation:
using BODMAS rule
6 + 16 - 12 + 9 - 3............step 1
22 - 3 - 3....…...................step 2
16
What is the solution set of 7x 2 + 3x = 0?
{0, 3/7}
{0, -3/7}
{0, -4/7}
Answer:
the answer is b when we have two positives it makes a negitive therefore its b
Step-by-step explanation:
can someone help me please?
Answer:
[tex] P = 6E - 4M - O [/tex]
Step-by-step explanation:
[tex] E = \dfrac{O + 4M + P}{6} [/tex]
Multiply both sides by 6.
[tex] 6E = O + 4M + P [/tex]
Subtract O and 4M from both sides.
[tex] 6E - 4M - O = P [/tex]
Switch sides.
[tex] P = 6E - 4M - O [/tex]
The water level in a plastic pool changed
by −8 gallons each hour due to a small
hole in the bottom. After 6 hours, the pool
contained 132 gallons. How much water
was in the pool originally?
Answer: 180 gallons
Step-by-step explanation:
If you take 8 times 6 you get 48, now take 132 plus 48 and you get 180.(hope this helped):)
In the figure, BAT - CAT. Which statement is true by CPCTC?
Answer:
C
Step-by-step explanation:
The angles are congruent by CPCTC as they correspond with one another.
Answer:
The final answer, D
Step-by-step explanation:
Source: Done this question before
Which graph represents the piecewise function?
Answer:
C i think sorry if its wrong
Step-by-step explanation:
Answer:
bottom left one
note the >, < ≤ , ≥
for x > 0 the dot should NOT be solid
Step-by-step explanation:
The bill before tax at a restaurant is $32, and the sales tax is 10%. You decide to leave a 15% tip based on the pre-tax amount. What will be the amount of the total bill, including tax and tip?
Bill before tax = $32
Tax = 10/100×32
= $3.2
Tip = 15/100×32
= $4.8
Total cost = 32 + 3.2 + 4.8
= $40
Answered by Gauthmath must click thanks and mark brainliest
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
find the value or x.
-
a. 5
b. 11
c. 25
d. 31
Between which two numbers does 46 lie?
A.
between 8 and 9
B.
between 6 and 7
C.
between 5 and 6
D.
between 7 and 8
Answer:
So the sqrt(46) is between 6 and 7
Step-by-step explanation:
sqrt(46)
5*5 = 25
6*6=36
7*7=49
So the sqrt(46) is between 6 and 7
4cosx - 2cos2x - cos4x=1
Answer:
x = 360°
Answered by GAUTHMATH
Could you please please help me with these questions this is my last attempt and it's due today
Answer:
70.20%
Step-by-step explanation:
Since you seem to be in a rush, let's go for a concise answer.
Let's add 146 and 344 to get 490, and do 344 / 490. This gives us the decimal proportion of ice cream cones that was sold. 344 / 490 = 0.70204.
Excellent. To get the percentage, let's multiply 0.70204 by 100 to get 70.204%. Rounding this to the nearest hundredth gives us 70.20%.
Hope this helps!
Note: This question seems to be badly worded, your 42.44% is correct if it's percentage of ice cream bowls in ice cream cones. I'm assuming that it's the percentage of all ice cream. :)
A school bought 45 band uniforms and 18 musical instruments. If the
uniforms cost $89 each, what was the total cost of the uniforms?
Answer:
45 times 89
Step-by-step explanation:
The instuments are irrelevant and are only there to distract you.
Answer:
45 times 89 equals 4005
Step-by-step explanation:
8 0/1 as a improper fraction
Hey there!
8 0/1
8 * 1 + 0/1
= 8 + 0/1
= 8/1
Therefore your answer is most likely: 8/1
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Which number best represents the slope of the graphed line?
A. -5
B. -1/5
C. 1/5
D. 5
Answer:
A. -5
Step-by-step explanation:
First of all this is a line that shows a negative slope.
Secondly, the formula for slope is rise/ run.
5 is your rise and 1 is your run, therefore: -5/1
And this can be reduced to : -5
PLS HELP ME WITH THIS IM FAILING TERRIBLY PLS ITS PYTHAGOREAN THEOREM
Answer:
5.7
Step-by-step explanation:
9^2=x^2+7^2
Solving for x we get 81 - 49 which is 32.
The square root of 32 rounds to 5.7
anyone help me, please I need help
[tex] \sqrt{x - 5} = 8 \sqrt[]{x - 2} [/tex]
Answer:
No Real Solutions.
Step-by-step explanation:
√(x-5)=8√(x-2)
Square on both sides,
(√(x-5))^2=(8√(x-2))^2
or,(x-5)=64(x-2)
or,x-5=64x-128
or,-5+128=64x-x
or,123/63=x
Therefore, x=41/21
If you plug x=41/21 in √(x-5)=8√(x-2) you do not get equals, so the problem has no real solutions.
안녕, 내 친구가 되어줄래?
소개를 부탁드려도 될까요?
나 자신 오자스비
클래스 8, 13
인도
한국 사람이에요?
would you Rather geometry
Walk on a line or A line segment
why?
Alaina wants to decide whether her current cell phone plan is better than a package that another company offers. To compare the two plans, she plotted two lines on a graph, where y represented the total cost of one month’s service and x represented the megabytes of data that she used in a month. Which part of the graph will represent the cost per megabyte of data used in each plan?
Answer:
The y-intercepts of the two lines will represent the cost per megabyte of data used in each plan.
Step-by-step explanation:
i also took the test
Answer:
The y intercept forms the two lines.
Step-by-step explanation:
I just took the test
PLEASE SOMEONE HELP ME ANSWER THIS !!!!
Write the equations of the linear and exponential functions that pass through the points (0, 15) and (1, 5)
Linear Equation, y = mx+b
Exponential Equation, y = a(b)^x
PLEASE ANSWER IT I HAVE AN IMAGE ATTACHED IF NEEDED !!!!
Step-by-step explanation:
Part A: Linear Equation.
One of the points is (0,15). This means 0,15 is the y intercept so b=15.We can find the slope
[tex] \frac{5 - 15}{1 - 0 } = \frac{ - 10}{1} = - 10[/tex]
So our equation is
[tex]y = - 10x + 15[/tex]
Part B: Exponential Equation
We know that
[tex]15 = a \times b {}^{0} [/tex]
B to the zero power is 1 so
[tex]15 = a[/tex]
This means a =15. Now let find b.
[tex]5 = 15 \times b {}^{1} [/tex]
[tex] \frac{1}{3} = b[/tex]
So the equation is
[tex]y = 15( \frac{1}{3} ) {}^{x} [/tex]
Can someone help me with this question pls
Answer:
D
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = - 94 and d = a₂ - a₁ = - 112 - (- 94) = - 112 + 94 = - 18 , then
S₁₀ = [tex]\frac{10}{2}[/tex] [ (2 × - 94) + (9 × - 18) ]
= 5(- 188 - 162)
= 5 × - 350
= - 1750
