he points in the table lie on a line. What is the slope?
The sum of the enterior angles of any triangle is equal to:
Answer:
is equal to 180°
I hope it's helps you
On average, 3 percent of U.S. travelers do not show up for their flight. Suppose this probability is independent and constant across travelers. For a given flight from Seattle to San Francisco, an airline accepted a total of 103 reservations while the plane capacity is 100 seats. What is the probability that the airline will have to bump at least one passenger
Answer:
.3988 .
Step-by-step explanation:
We shall use Binomial distribution formula in the problem .
n = 103
The probability that a passenger will not miss the flight and show up = .97
The probability that a passenger will miss the flight = .03
n = 103 ,
probability of showing up 101 , 102 and 103 passengers so that at least 1 passenger will return or bump .
= 103C₁₀₁ .97¹⁰¹ .03² + 103C₁₀₂ .97¹⁰² .03+ 103C₁₀₃ .97¹⁰³
103 x 102 /2 .97¹⁰¹ .03² + 103 .97¹⁰² .03 + .97¹⁰³
= 5253 x .046 x .0009 + 103 x .00134 + .0434
= .2174 + .1380 + .0434
= .3988 .
The probability that the airline will have to bump at least one passenger is; 0.3988
Binomial probability distributionProbability that the travelers did not show up for the flight is; q = 3% = 0.03
Probability that they will show up for the flight is; p = 97% = 0.97
The formula for binomial probability is;P(X = r) = nCr × p^(r) × q^(n - r)
Thus, the probability that the airline will have to bump at least one passenger is;
(103C₁₀₁ × 0.97¹⁰¹ × 0.03²) + (103C₁₀₂ × 97¹⁰² × 0.03) + (103C₁₀₃ × 0.97¹⁰³ × 0.03⁰)
>> 0.2174 + 0.1380 + 0.0434
>> 0.3988
Read more on binomial probability at; https://brainly.com/question/15246027
Given ΔPQR and ΔSTU, what is m∠Q?
Given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.
Similar TrianglesThe ratios of the corresponding sides of similar triangles are always equal to each other, that is, the corresponding sides are proportional.Also, corresponding angles of two similar triangles are congruent.Thus:
ΔPQR and ΔSTU are similar because:
PQ/ST = PR/SU = QR/TU = 3.5
Therefore,
m∠Q = 180 - 70 - 46
m∠Q = 64°
Thus, given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.
Learn more about similar triangles on:
https://brainly.com/question/2644832
Solve for x:
600
x + 124
Just enter the number.
Help plz:)))I’ll mark u Brainliest
Answer:
22-18-25,
19-24-30,
7-24-25
Step-by-step explanation:
In a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], any two sides must have a sum larger than the third.
Using this rule, the possible side lengths out of these choices that could form a triangle are:
22-18-25,
19-24-30,
7-24-25
2. Juan is purchasing beverages for a family reunion. Each case of water costs
$3.75 and each case of lemonade costs $6.49. He has a total of $80 that can be
spent on beverages. Write an inequality to represent the number of cases of water
and lemonade he can purchase.
Answer:
a
Step-by-step explanation:
rn rn m rn... rn
rn rn rn
rn em rn rnnn
help me please!!!!!!
==========================================================
Explanation:
Recall that sine is the ratio of opposite over hypotenuse.
For angle C, the opposite side is AB = 24 as this leg is furthest as possible from angle C. The hypotenuse is always opposite the 90 degree angle.
So,
sin(angle) = opposite/hypotenuse
sin(C) = AB/AC
sin(C) = 24/40
sin(C) = (8*3)/(8*5)
sin(C) = 3/5
If you want to find the measure of angle C, then you apply the arcsine rule to both sides. Inverse sine is the same as arcsine.
Answer:
Step-by-step explanation:
Solution
Here,
H=40
P=32
B=24
Now,
sinC=p/h
=32/40
=4/5
Where, 4 is perpendicular and 5 is hypotenuse.
Hope it helped you.
Plz mark me brainliest.
Ming works as a quality assurance analyst at a bottling factory. She wants to use a one-sample z interval to estimate what proportion of 500 ml bottles are underfilled. She wants the margin of error to be no more than 4% at 90% confidence. What is the smallest sample size required to obtain the desired margin of error?
a) 271
b) 423
c) 651
d) 888
Answer:
Sample size is [tex]n=423[/tex]
Step-by-step explanation:
Given that,
Margin of error [tex]=4[/tex]%
Confidence level [tex]=90[/tex]%
Suppose, sample proportion[tex]=0.5[/tex]
i.e. [tex]\hat{P}=0.5[/tex]
We know that,
Margin of error [tex]=2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex]
∴ [tex]1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%[/tex]
[tex]\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243[/tex]
[tex]\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}[/tex]
[tex]\Rightarrow \sqrt{n}\geq 20.57[/tex]
squaring on both side,
∴ [tex]n=423.1249[/tex]
Hence, the sample size is,
[tex]n=423[/tex]
Hence, the correct option is [tex](b).[/tex]
Answer:
423
Step-by-step explanation:
Which expressions are equivalent to the expression 30x^2-5x-10
Answer:
10 (3 x - 1)
Step-by-step explanation:
Answer:
6 is equivalent as well as option 3
Solve It! Suppose that you want to create two identical wings for a model airplane. You draw one wing on a large sheet of tracing paper, fold it along the dashed line, and then tract the first wing. How do you know that the two wings are identical?
Answer:
you copied the other line
Step-by-step explanation:
you drew over the other line and it should be exact
Answer:
Hope this helps ! (OwO)/
Step-by-step explanation:
A line is formed when the paper is flod. Because of this, this helps the paper give an even form so there won't be any troubles. And if, the paper is uneven then the paper plane will be clusmy and fly in a corner. Brainlist? ʕ·ᴥ·ʔ
Triangle PQR has vertices P(-2,8), 0(2,4), and R(4.6). Which best describes triangle PQR?
a right triangle with PQ QR
a right triangle with PQ PR
an isosceles triangle with PQ=QR
an isosceles triangle with PQ=PR
Answer:an icosceles triangle with pq qr
Step-by-step explanation:
Estimate the sum of 13 and 45
Answer:
58
Step-by-step explanation:
Answer:
58
Step-by-step explanation:
13 plus 45 is 58
you add them.
do you understand?
The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time
in minutes spent on the Internet.
O
$0 0<30
f(t) = $5 30 < 1 S 90
$ 10 > 90
Which statement is true about the Internet connection cost?
It costs $5 per hour to connect to the Internet at the gaming store.
The first half hour is free, and then it costs $5 per minute to connect to the Internet.
It costs $10 for each 90 minutes spent connected to the Internet at the gaming store.
Any amount of time over an hour and a half would cost $10.
Save and Exit
Next
Submit
Mark this and return
no
Answer:the answer is D Any amount of time over an hour and a half would cost $10
Step-by-step explanation:
What's the number come next 0,3,3,4,8,2,?
sorry i don't know
sorry
sorry
when a metallic ball bearing is placed inside a cylindrical container of radius 2 cm the height of the water inside the container increased by 0.6 CM the radius is it to the nearest teeth of the centre of the ball bearing is
Answer: do 2 x 0.6
Step-by-step explanation:
there y go
PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!
Answer:
The answer is 43 because 600/14 = 42.8571429 rounded to the nearest whole number is 43.
Step-by-step explanation:
Madison is making a cleaning solution by mixing a multi-surface cleaner with water in the
ratio of 2 to 11. How many pints of the
cleaner and water does she need to make 39 pints of solution?
Cleaner:
Answer:
Im pretty sure its 33 and 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Set up a proportion
2/13 = x / 39 Cross multiply
13*x = 2 * 39 Combine the right
13x = 78 Divide by 13
x = 78/13
x = 6
Why pick 13? Because the total must come to 39. You will make a mistake if you use 11 rather than 13. You must include the cleaner in the denominator. Very tricky question.
So the final answer is
Cleaner: 6
Water: 39 - 6 = 33 pints of water.
Very few of your classmates will get this if they are not in chemistry. You might even be told your answer is incorrect. It isn't.
Find the measure of each angle. a. Angle A = ? b. Angle B = ? c. Angle C = ?
Answer:
angle A=140
angle B=105
angle C=60
angle A=140
angle B=105
angle C=60
Step-by-step explanation:
PENN
*8th grade math*
1.6(1 + 0.5n) - 3, 2 = 1.1(n - 6.8)
please answer with work
Answer:
67
Step-by-step explanation:
__
Answer: 5.4945...
Step-by-step explanation:
1.6 (1 + 0.5n) − 3 , 2 = 1.1 (n − 6.8)
Rewrite the equation as 1.1 (n − 6.8) = 2.
1.1 (n − 6.8) = 2
Divide each term by 1.1 and simplify.
Divide each term in 1.1 (n − 6.8) = 2 by 1.1.
1.1 (n − 6.8)/1.1 = 2/1.1
Cancel the common factor of 1.1.
n − 6.8 = 2/1.1
Divide 2 by 1.1.
n − 6.8 = 1.81...
Move all terms not containing n to the right side of the equation.
Add 6.8 to both sides of the equation.
n = 1.81... + 6.8
Add 1.81... and 6.8.
n = 8.618...
Replace the variable n with 8.618... in the expression.
1.6 (1 + 0.5 (8.618...)) − 3
Simplify each term.
Multiply 0.5 by 8.618...
1.6 (1 + 4.309...) − 3
Add 1 and 4.309...
1.6 ⋅ 5.309... − 3
Multiply 1.6 by 5.309...
8.4945... − 3
Subtract 3 from 8.4945...
5.4945...
i giveeeeeeeeeeee brainlilstttttttttttttttt
Jaden and Dani are both travelling by train.
Jaden's train travels 130 km in 75 minutes.
Dani's train travels 312 km.
It leaves at 15:15 and arrives at 18:30.
Work out the difference, in km/h, between the average speed of their trains.
Answer: 28.765957 km/hour
This value is approximate. Round it however you need to.
==============================================
Explanation:
Let's convert 75 minutes to hours.
75 min = (75 min)*(1 hr/60 min) = (75/60) hr = 1.25 hr
So Jaden's train takes 1.25 hours to travel 130 km. Her train's speed is
speed = distance/time
speed = (130 km)/(1.25 hrs)
speed = (130/1.25) km per hour
speed = 104 km per hour
Let A = 104, so we can use it later.
------------------------------------
Dani's train leaves at 15:15 and arrives at 18:30. We need to calculate the duration of elapsed time here.
From 15:15 to 16:00, this is a difference of 00:45, aka 45 minutes or 45/60 = 3/4 = 0.75 hours.From 16:00 to 18:00, this is a time gap of 2 hours. From 18:00 to 18:30, this is a gap of 30/60 = 0.5 hoursOverall, the length of time from 15:15 to 18:30 is 0.75+2+0.5 = 3.25 hours.
Dani's train travels 312 km in 3.25 hours.
That train's speed is...
speed = distance/time
speed = (312 km)/(3.25 hours)
speed = (312/2.35) km per hour
speed = 132.765957 km per hour, approximately
Let B = 132.765957 so we can use it later.
------------------------------------
Lastly, we subtract the values of A and B to get the final answer
C = difference in train speeds.
C = B - A
C = 132.765957 - 104
C = 28.765957 km/hour
This value is approximate. This says that Dani's train is approximately 28.765957 km/hour faster compared to Jaden's train.
If BD bisects ∠ABC, find each value
Answer:
x=14
y=10
AD=19
CD=19
Step-by-step explanation:
x:
5x-6=64
+6 +6
5x=70
x=14
y:
3y-11=y+9
+11 +11
3y=y+20
-y -y
2y=20
y=10
AD:
3y-11
3(10)-11
30-11
19
CD:
y+9
(10)+9
19
JELPPPPP it’s due in 5 mins
The answer is 65
Step-by-step explanation:
all you had to do was divide
Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it.
Use 3.14 as an approximation for π .
Answer:
1,254 sqaure ft
Step-by-step explanation:
Use the radius of the circle, 202=10, to find the area of the circle: A=πr2=π(10)2=π⋅100≈3.14⋅100=314square meters. The area of the triangle is: A=12b⋅h=12⋅56⋅56=12⋅3,136=1,568 The area of the shaded region equals the area of the triangle minus the area of the circle. This is approximately 1,568-314=1,254 square meters.
The area of the shaded region is 1,254 square ft, consisting of a right triangle with a circle cut out of it.
What is the area of the circle?The area of the circle is equal to the product of the square of the radius of the circle and pi.
A = πr²
where 'r' is the radius of the circle
Use the radius of the circle, 20/2 =10, to find the area of the circle:
A = πr²= π(10)² = π⋅100 ≈ 3.14⋅100 = 314 square meters.
The area of the triangle is:
A=12b⋅h = 12⋅56⋅56 = 12⋅3,136 = 1,568
The area of the shaded region equals the area of the triangle and subtracts the area of the circle.
This is approximately 1,568 - 314 = 1,254 square meters.
Hence, the correct answer would be an option (B).
Learn more about the area of the circle here:
brainly.com/question/19794723
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Suppose potato chips cost 22.5 cents per ounce. What would a bag of chips cost if it contained 12 oz? Round your answer to the nearest cent, if necessary
Answer:
the anser is 22.10
Step-by-step explanation:
you have to round to the nearest ten. here is a tip 4 or down round down 5 or up round up now you are good to go! and also to find me if you need help
3x + y=5
6x -2y=10 Is it consistent/non consistent and need solution
once i see how to do one ill understand how to do others. thank you
Answer: These are non- consistent and can be solved. The signs of the y terms are the opposite.
Step-by-step explanation: If the signs are the same, and all the terms of one equation are multiples of the other, they are identies, with infinite solutions. We can solve this system by multiplying the first equation by 2, adding the equations to cancel the y terms, and solve for x.
2(3x+y=5) becomes
6x +2y= 10 Add it to the other equation
6x -2y= 10 We are left with
12x = 20 Solve for x
x = 5/3 Substitute for x and solve for y.
3(5/3) + y = 5
5 + y = 5. Subtract 5 from both sides.
y = 0
The solution to this system is (5/3 , 0)
The list of ordered pairs is a function. which of the following to be the missing ordered pair? (12,6) (3,1) (2,-2) (5,10) (-8, -4) (___,___)
Answer:
D
Step-by-step explanation:
the awnser is D
Answer:
8,8
Step-by-step explanation:
help please... the question is which statement would be the most important in explaining why 2/3 is = to 6/9.
Answer:
C. The shaded area represents both 2/3 and 6/9 of the whole shape.
The formula for the velocity of an object is v=d/t, where v is the velocity of an object, dis the distance traveled, and t is the time elapsed, while the distance is traveled. If you had only this formula to work with, what should your first step be in determining how long it takes for light to reach Earth from the Sun? What additional information do you need to calculate this?
Answer:
To know the distance between the sun and the earth you need isolate d of the equation:
[tex]v = \frac{d}{t} \\ d = vt[/tex]
and the additional information needed is the velocity of light and the time elapsed to be in the earth