Answer:
F(g(×)1=3(6+2)-5=18×+6-5=18×+1
Step-by-step explanation:
so correct answer is the last one pa brainliest plss
The area of a duck enclosure is 300 square feet, with 100 square feet occupied by a pond. Each duck in the enclosure needs more than 20 square feet of space on dry land. If x ducks can be put in the enclosure, which is the simplest inequality that represents this situation?
Answer: x = 100 duck
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
he time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the answers to 3 decimal places. (a) What is the probability that more than three aircraft arrive within an hour? Enter your answer in accordance to the item a) of the question statement (b) If 30 separate one-hour intervals are chosen, what is the probability that no interval contains more than three arrivals? Enter your answer in accordance to the item b) of the question statement
Answer:
A) 0.019
B) 0.563
Step-by-step explanation:
a) We will use Poisson distribution formula to solve this;
The formula is given as;
P(X = x) = ((e^-λ) × (λˣ))/x!
Mean is 1. Thus;
λ = 1 aircraft/hour.
Thus, the probability that more than three aircrafts will arrive within an hour is written as; P(X > 3)
Thus;
P(X > 3) = 1 - P(X ≤ 3)
Thus;
1 - P(X ≤ 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
Solving through online calculator, we have;
P(X > 3) = 1 - 0.98101
P(X > 3) = 0.01899
To 3 decimal places, we have; P(X > 3)= 0.019
b) Probability of one 1-hour interval not containing more than 3 arrivals is, let's first find;
P(X ≤ 3) = 1 - P(X > 3)
P(X ≤ 3) = 1 - 0.01899
P(X ≤ 3) = 0.98101
Since there are 30 one-hour intervals, then we have;
Probability that none of the thirty 1-hour intervals will contain more than 3 arrivals;
(P ≤ 3) = (0.98101)³⁰
(P ≤ 3) = 0.5626
Approximating to 3 decimal places, we have;
(P ≤ 3) = 0.563
Solve for x. I have to show my work and no decimal answers. It's not mandatory, i just don't understand how to solve the problem. Someone pls help ;) & actually explain it.
Answer:
-22.5.
Step-by-step explanation:
Lets say that you meant w as the variable.
-4/3 w = 30.
To get rid of the 3, lets multiply 3 to both sides. We get:
3(-4/3 w) = 3(30)
We get:
-4w = 90.
To solve for the w, lets get rid of the -4 by dividing it from both sides.
(-4w)/-4 = 90/-4
We get:
w = -22.5
Check it if you want to make sure.
Find the value of x. Round to
the nearest tenth.
17°
47
Х
X =[?]
Answer:
13.7 units
Step-by-step explanation:
Hi there!
The dotted lines and the hypotenuse of the green triangle create a new right triangle, with one of its acute angles measuring 17 degrees and its hypotenuse measuring 47 units.
Given this information and that we must solve for the side opposite the given angle, we can use the sine ratio:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
Plug in known information
[tex]sin17=\frac{x}{47}\\47*sin17=x\\13.7=x[/tex]
Therefore, the value of x when rounded to the nearest tenth is 13.7 units.
I hope this helps!
(X, Y) satisfy the equation? JW Is (-94,-5) a solution to the equation y = x + 89? yes no
Answer:
si
Step-by-step explanation:
si :v
Answer:
yes
Step-by-step explanation:
y = x + 89
-5 = -94 + 89
-5 = -5
what is the y-intercept?
Answer:
(0, 9)
Step-by-step explanation:
The y-intercept is the point when x = 0. By looking at the graph, when x = 0, y = 9. Therefore, the y-intercept of the line is (0, 9).
Emily and Kylie are 140 miles apart, traveling towards each other. If Kylie travels 12 mph and Emily travels 8 mph how long until they meet?
Answer: 7 hr
Step-by-step explanation:
Given
Distance between Emily and Kylie is [tex]140\ \text{miles}[/tex]
Speed of Emily [tex]v_e=12\ mph[/tex]
Speed of Kylie [tex]v_k=8\ mph[/tex]
Distance traveled by Emily [tex]\Rightarrow d_e=12t[/tex]
Distance traveled by Kylie [tex]\Rightarrow d_k=8t[/tex]
[tex]\Rightarrow 12t+8t=140\\\Rightarrow 20t=140\\\Rightarrow t=7\ hr[/tex]
They will meet after 7 hour.
Miguel is trying to find the height of a radio antenna on the roof of a local building. He stands at a horizontal distance of 22 meters from the building. The angle of elevation from his eyes to the roof (point A) is 26 degrees , and the angle of elevation from his eyes to the top of the antenna ( oint B) is 31 degrees If his eyes are 1.53 meters from the ground, find the height of the antenna (the distance from point A to point B). Round your answer to the nearest tenth of a meter if necessary.
Given the 22 m. horizontal distance and the angles of elevation of 26°
and 31° gives the height of the building as approximately 2.49 meters.
How can the height of the building be found?Horizontal distance from the building = 22 m
Angle of elevation to the top of the roof = 26°
Angle of elevation to the top of the antenna = 31°
Height of his eyes from the ground = 1.53 m
Required:
The height of the antenna.
Solution:
In a right triangle, we have relative to an angle of the triangle, we have;
Opposite side = Adjacent side
Height of the building + Height of antenna = [tex]1.53 + 22 \times tan \left(31^{\circ} \right)[/tex] ≈ 14.75
Which gives;
Height of the building = [tex]1.53 + 22 \times tan \left(26^{\circ} \right)[/tex] ≈ 12.26
Height of antenna = Height of the building + Height of antenna - Height of the buildingTherefore;
Height of the antenna ≈ 14.75 - 12.26 ≈ 2.49
Height of the antenna ≈ 2.49 mLearn more about trigonometric tangent ratio here:
https://brainly.com/question/24415242
The function f(x) is a quadratic function and the zeros of f(x) are 1 and 5. The y-intercept of f(x) is 20. Write the equation of the quadratic polynomial in standard form.
Answer:
4x² - 24x + 20 = 0
Step-by-step explanation:
a(1)² + b(1) + 20 = 0
a(5)² + b(5) + 20 = 0
a + b = - 20 ⇒ b = - a - 20 ...... (1)
25a + 5b = - 20 .......... (2)
(1) -----> (2)
25a + 5( - a - 20) = - 20
20a - 100 = - 20 ⇒ a = 4
4 + b = - 20 ⇒ b = - 24
4x² - 24x + 20 = 0
Mr. Austin decided to make a healthy snack for the 20 students in his class. He gave each student a dish of yogurt and divided 6 cups of strawberries equally among the dishes.
How many cups of strawberries did each student get in their yogurt?
Write your answer as a proper fraction or mixed number.
Answer:
3/10 of a cup
Step-by-step explanation:
Find how many cups of strawberries each student got by dividing 6 by 20:
= 6/20
Simplify this by dividing each number by 2:
= 3/10
So, each student got 3/10 of a cup of strawberries
The difference of twice a number and five is three.Find the number.Translate the world problem to an equation.Which steps describe how to solve the equation?
Answer:
Step-by-step explanation:
let the number=x
2x-5=3
2x=3+5
2x=8
x=8/2=4
Complete the following proof by dragging and dropping the correct reason in the spaces below
Answer:
2
Step-by-step explanation:
1+1 = 2
So the answer is 2
hope this helps
how to determine proofs
Answer:
check footprints and then check finger print the finger print pour powder on it and Trace
Ayudenme con esto porfavoor
Figura 1 = ⅓
Figura 2 = ½
Figura 3 = 4/7
Figura 4 = 4/9
↦ Count all the shaded regions (for numerator) & all the parts of the figure (for denominator).
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Find an equation for the line below.
Answer:
y= -1/4x+ 3.75
Step-by-step explanation:
is it possible for a triangle to have an 80 degree angle and 105 degree angle? How do you know?
Answer:
Not possible.
Step-by-step explanation:
The sum of all 3 angles in a triangle is 180°. With the 80° and 105°, those add up to a total of 185°. This is bigger than can be with a given triangle. Therefore, a triangle with an 80° angle and a 105° angle is not possible.
Answer:
No it isn't possible
Step-by-step explanation:
sum of three angles of any triangle is 180 degrees.
so, as per Given question sum of only two angles exceeds 180 degrees which is " 80+105= 185" so it's not possible.. Hope this answer helps you
The local skating rink pays Mary a fixed rate per pupil plus a base amount to work as a skating instructor. She earns $90 for instructing 15 students on Monday afternoon. Last Friday, she earned $62 for working with 8 students. Lisa is also a skating instructor. She receives half the base amount that Mary does, but she is paid twice as much per student. Who would earn more money instructing a class of 20 students?
answer choice
1. 120
2. 65
3. 15
4. 10
Answer:
ok so lets divide 90 by 15 to get 6 so she gets paid 6 per student and that means lisa gets paid 12 so lets just multiply
6*20=120 so mary gets paid 120
and lisa gets paid doable that so 420
but i don't know there base pay so the i can't answer this problem
Hope This Helps!!!
Davion wants to buy 4 tickets to a basketball game. He sees that there is a discount for $25 off his entire purchase at checkout, so the tickets would cost him $215 before tax. What was the original price of each ticket?
Answer:
$60 per ticket
Step-by-step explanation:
$215 is what it costs after the discount, so add the amount taken off, back on.
215+25
240
Then, divide by 4 to find the cost of each individual ticket.
240/4
60
Hope it helps!
Can someone help me with this math homework please!
Answer:
4
Step-by-step explanation:
7h-15h+40=-72
-8h=-32
h=4
Is the function g(x)= –5x+4 linear or nonlinear
In a test,correct answers carry +3 marks and wrong answers carry -1 marks.Ramesh answered all the questions.He scored 79 marks,though he maked 5 mistakes.Find the number of correct answers?
Step-by-step explanation:
let wrong answers be y
let right answer be x
3x-1y=79
find another equation
A triangle has the vertices of P(2,5),Q(-4,7) and R(-2,-1) classify the triangle is scalene, Isoceles or an equilateral triangle
Answer:
isoceles
Step-by-step explanation:
The vertices are not equal
The time spent by Nadia to answer the geography quiz is 30 minutes more than the time spent to answer the history quiz. What is the total time that Nadia took to answer both quizzes?
Answer:
1 hour
Step-by-step explanation:
hope it helps ....
What is 7/9 divided by 1/3
Answer:
[tex]{ \tt{ = \frac{7}{9} \div \frac{1 }{3} }} \\ = { \bf{ \frac{7}{9} \times \frac{3}{1} }} \\ = \frac{7}{3} [/tex]
how do I solve this question (step by step)?
Answer:
see explanation
Step-by-step explanation:
Angles on the circumference subtended on the same arc are equal
Angle at the centre is twice the angle at the circumference subtended on the same arc.
Then
∠ BAC = ∠ BDC = 29°
∠ BOC = 2 × ∠ BDC = 2 × 29° = 58°
is y=9x proportinal?
Answer:
yeah it is
y is directly proportional to x
proportionality constant is 9
Let f(x) = 4x - 5 and g(x) = 3x + 7. Find f(x) + g(x) and state its domain.
7x - 12; all real numbers
7x + 2; all real numbers
x + 2; all real numbers
X - 12; all real numbers
Answer:
2nd option
Step-by-step explanation:
f(x) + g(x)
= 4x - 5 + 3x + 7 ← collect like terms
= 7x + 2
domain is all real numbers
is 65.4279 irrational or rational? Explain
Please help me with this one
Answer:
71.51
Step-by-step explanation:
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=3·3+7·3+7·3+1
2·﹣34+2·(3·7)2+2·(3·7)2﹣74+2·(7·7)2﹣74=71.51219
What is the value of this expression?
Answer:
-3
Step-by-step explanation:
Step 1: Solve (-2+(-1))^2/3 3
1. -2+(-1) = -3
2. (-3)^2 = 9
3. 9/3 = 3
Step 2: Solve (-4)^2-17 -1
1. 3/-1
Step 3: Simplify 3/-1 = -3. I hope this helped and please don't hesitate to reach out with more questions!