Answer:
The probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.
Step-by-step explanation:
Let X = weight of pilots.
It is provided that X follows a normal distribution with mean, μ = 130 lbs. and standard deviation, σ = 27.3 lbs.
Compute the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. as follows:
[tex]P(120<X<161)=P(\frac{120-130}{27.3}<\frac{X-\mu}{\sigma}<\frac{161-130}{27.3})\\\\=P(-0.37<Z<1.14)\\\\=P(Z<1.14)-P(Z<-0.37)\\\\=0.87286-0.35569\\\\=0.51717\\\\\approx 0.52[/tex]
Thus, the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.
Simplify (3√-5 +2)(4√-12 -1)
Thank you in advance
Full steps so I can understand!
Answer:
12√60 - 3√-5 + 8√-24 -2
Step-by-step explanation:
Use the distributive property
Multiply each by the other term outside their parantheses
for example multiply 3√-5 by 4√-12 and 3√-5 by -1.
Answer:
√
28
√
4
=
2
7
⋅
2
√
7
14
√
7
14
√
7
Explanation:
28
is the same as
2
×
14
witch in turn is the same as
2
2
×
7
Write as
7
√
2
2
×
7
Taking the
2
2
'outside' the square root changes it from
2
2
to
2
7
√
2
2
×
7
=
7
×
2
×
√
7
14
√
7
Step-by-step explanation:
The left and right page numbers of an open book are two constructive integers whose sum is 427. Find these page numbers
Answer:
n + (n + 1)= 427
2n + 1 = 427
2n = 427
= 213
Step-by-step explanation:
the cube_____of 27 is 3.
Answer:
3
Step-by-step explanation:
Answer:
the cube ROOT of 27 is 3.
Step-by-step explanation:
A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph. What was the average speed of the car for the entire journey? \
Answer:
19.2 mph
Step-by-step explanation:
just trust me
What's the answer to this on Zearn??
Answer:
The answer is
4/12 - 3/12
Step-by-step explanation:
Answer:
4/12 - 3/12
Step-by-step explanation:
{ vowels in the word ALGEBRA}
Answer:
2As and 1E
Step-by-step explanation:
Please mark as brainliest
Trapezoid PSTK is isosceles. SK = 20, SH = 12, If ST = 1 4 HK, find HK, Area of PTSK, m∠P, and PS.
Answer:
HK-16, Area- 50, m<p=45
Step-by-step explanation:
I don't know the last one but give me the brainliest.
when solving the equation 5x-3=5, MaReeco rewrote the equation as 5x =2.Did MaReeco perform an acceptable move to this equation? why or why not?
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
[tex]5x-3=5[/tex]
MaReeco's rewrote equation is given by
[tex]5x = 2[/tex]
As MaReeco subtracted 3 to the right side of the equation, which imbalanced the equation. Hence, it is not correct.
Correction:
For the next step, MaReeco should have added 3 to both sides
i.e.
[tex]5x-3+3=5+3[/tex]
[tex]5x=8[/tex]
Therefore, the acceptable move would have been:
[tex]5x=8[/tex]9. A student received a 75% on an exam. If there were 20 questions on the exam,
which ratio would show the number of questions answered correctly to the total
number of questions?
Microsoft
Edge
O A. 20:5
O B. 20:15
O C. 15:20
Zoom
O D. 5:20
Answer:
The answer is C. 15:20
Step-by-step explanation:
hope that helps
Answer:
B
Step-by-step explanation:
Step 1: Take 20 and multiply by 0.75 to get the number of answers that were correct, which is 15.
Step 2: Put the number of correct questions and the total number of questions into a ratio form, 20:15
Which of these businesses is a partnership? A. the Lin and Ching families' Chinese restaurant B. Karton's furniture-manufacturing business C. Jane Larson's gift shop
Answer:
A
Step-by-step explanation:
''The Lin and Ching families' Chinese restaurant'' is a partnership businesses.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, We know that;
In a partnership businesses, two peoples are include.
Hence, By given options,
Option A is true, because it contain two name of peoples
So, The Lin and Ching families' Chinese restaurant is a partnership businesses.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
how many eights are there in three and a quater
Find the zeros of the function
k(x) = -5x² - 125
The zeros of k are x= □ and x= □
Answer:
x = ±5i
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg II
√-1 is imaginary number iStep-by-step explanation:
Step 1: Define function
k(x) = -5x² - 125
Step 2: Find roots
Set function equal to 0: 0 = -5x² - 125Factor out -5: 0 = -5(x² + 25)Divide both sides by -5: 0 = x² + 25Subtract 25 on both sides: -25 = x²Rewrite: x² = -25Square root both sides: x = ±√-25Rewrite: x = √-1 · ±√25Evaluate: x = ±5i4. If m3 = 54°, find the measure of each missing angle
Answer:Answer/Step-by-step explanation:
Given that m<3 = 54°
a. <1, <2, and <3 are angles on a straight line. They add up to 180°.
m<3 is given as 54°, m<2 = 90°, therefore,
m<1 = 180 - (54 + 90) = 180 - 144
m<1 = 36°
b. <2 is indicated as a right angle. Therefore, m<2 = 90°
c. <1 and <4 are vertical opposite angles. Vertical angles are congruent, since m<1 = 36°, therefore, m<4 = 36°
d. <5 and <2 are vertical opposite angles. m<2 = m<5, therefore, m<5 = 90°
e. <6 and <3 are vertical opposite angles. m<3 = m<6, therefore, m<6 = 54°
f. m<7 + m<6 = 180° (same side interior angles are supplementary)
m<7 = 180 - m<6
m<7 = 180 - 54
m<7 = 126°
g. m<7 + m<8 = 180° (linear pair)
126° + m<8 = 180
m<8 = 180 - 126
m<8 = 54°
h. m<9 = 180 - m<8 (linear pair)
m<9 = 180 - 54
m<9 = 126°
i. m<10 = m<8 (vertical angles)
m<10 = 54°
j. m<11 = m<4 (alternate interior angles are congruent)
m<11 = 36°
k. m<12 = 180 - m<11 (linear pair)
m<12 = 180 - 36
m<12 = 144°
l. m<13 = m<11 (vertical angles)
m<13 = 36°
m. m<14 = m<12 (vertical angles)
m<14 = 144°
Step-by-step explanation:
Answer:
A. M<1 = 36°
B. M<2= 90°
C. M<4= 36°
D. M<5= 54°
E. M<6= 54°
F. M<7= 126°
G. M<8= 54°
H. M<9= 126°
I. M<10 = 54°
J. M<11 = 36°
K. M<12 = 144°
L. M<13= 36°
M. M<14 = 144°
Your welcome
A dime (0.10) is what percent of a dollar (1.00)?
Answer:
10%
Step-by-step explanation:
Write a quadratic function in standard form with zeros 3 and -5
Answer:
[tex]x^{2} +2x-15 = 0[/tex]
Step-by-step explanation:
x = 3 and x = -5
(x - 3) = 0 and (x + 5) = 0
(x - 3) * (x + 5) = 0
[tex]x^{2} + 5x - 3x - 3*5 = 0\\x^{2} +2x-15 = 0[/tex]
The perimeter of a square picnic blanket is 40 feet. How long is each side?
Answer:
Perimeter of square: 4*side
Let's take the side to be 'x'
4x = 40
x = 10
Therefore, EACH SIDE = 10ft.
PLEASE HELP ITS PRE CALC LUV U
Answer:
Option A: -2≤x<-1
Step-by-step explanation:
Then select graph a
Answer: Anyway, option A.
Step-by-step explanation:
What are rules for transformations and how do they work
Answer:
f (x) + b shifts the function b units upward.
f (x) – b shifts the function b units downward.
f (x + b) shifts the function b units to the left.
f (x – b) shifts the function b units to the right.
–f (x) reflects the function in the x-axis (that is, upside-down).
Step-by-step explanation:
Mark Brainlyest PleAse
Simplify the expression using order of operations.
5×2+32
Answer:
42
Step-by-step explanation:
start with the first 5x2 then add
Answer:
42
Step-by-step explanation:
5×2+32
10+32
42
Gary's garage has 12 liters of motor oil. Gary pours equal amounts of oil into 3 trucks. How many liters of oil did Gary pour into each truck?
Answer:
4
Step-by-step explanation: 12 divided by 3 equals 4
Answer:
4 liters
Step-by-step explanation:
12 divided by 3 is 4
Which one is better? Knight or bishop? Why? (Chess).
Answer:
knight
Step-by-step explanation:
because he is a knight
Convert the binary number 10000010 to decimal.
Answer:
130
Step-by-step explanation:
First you want to start in the one's place in 10000010, multiply the ones place with 2^0
then move to the left to the tens place with 2^1
hundreds place with 2^2 an so on
Decimal equivalent of "0" = 0 × 2^0 = 0
Decimal equivalent of "1" = 1 × 2^1 = 2
Decimal equivalent of "0" = 0 × 2^2 = 0
Decimal equivalent of "0" = 0 × 2^3 = 0
Decimal equivalent of "0" = 0 × 2^4 = 0
Decimal equivalent of "0" = 0 × 2^5 = 0
Decimal equivalent of "0" = 0 × 2^6 = 0
Decimal equivalent of "1" = 1 × 2^7 = 128
Next you want to add all the products you just got to get the decimal equivalent of 10000010
0 + 2 + 0 + 0 + 0 + 0 + 0 + 128 = 130
Therefore the binary number 10000010 in decimal is 130
If you have 1.43 squares in your living room, how many triangles can you fit into each square? Is there a circle in each rectangle?
Answer:
2
Step-by-step explanation:
can someone please help me? :( ill give brainiest :D
Answer:
im pretty sure if you guessed that you guessed right thats its c i have a small headache but it should be right
Answer:
You are correct, c is the answer.
Step-by-step explanation:
Two hot air balloons.
Balloon one: starts at 30 miles from town and after 2 hours, it is 48 miles
Distance of Tasha's balloon is represented by function y = 8x + 20
x is independent variable so it would represent the time.
y is dependent so it represents the miles travelled.
Balloon one = (0, 30) <-- begins here and (2, 48)
Balloon two = (0, 20).
So balloon one began at 30 miles while tasha's balloon began at 20 miles from town.
So Henry's balloon was farther form the town at the beginning.
Now let's find the slope/rate of change and compare then.
Henry's balloon: y-y1/x-x1 = 48-30/2 = 18/2 = 9
Tasha's balloon m: 8
9>8 Therefore henry was faster
Jane ate 2 1/2 guavas and jack ate 1 1/4 guavas.
How many guavas in all were eaten?
1. What is asked in the problem?
Answer:
3 3/4 guavas were eaten
The problem asked how many guavas were eaten in total
What is the constant proportionality in the table below?
Answer:
1/2
Step-by-step explanation:
Y is half as large as x. I cant see the options but I know that 10/2=5, 6/2=3 and so on so i would go with 1/2
rewrite the function f(x)=4(x-1)^2-2 in the form f(x)=ax^2+bx+c
Answer:
f(x) = 4x² - 8x + 2
General Formulas and Concepts:
Order of Operations: BPEMDASExpand by FOIL (First Outside Inside Last)Standard Form: f(x) = ax² + bx + cVertex Form: f(x) = a(bx + c)² + dStep-by-step explanation:
Step 1: Define function
Vertex Form: f(x) = 4(x - 1)² - 2
Step 2: Find Standard Form
Expand by FOILing: f(x) = 4(x² - 2x + 1) - 2Distribute 4: f(x) = 4x² - 8x + 4 - 2Combine like terms (constants): f(x) = 4x² - 8x + 2The school band has saved $3,600 for their field trip, and this is 60% of their trip. What is the total cost of the field trip?
$.4000
Answer:$6,000
Step-by-step explanation:
the product of x and y squared
Answer:
(xy)^2
Step-by-step explanation:
Analyze the graph of the function f(x) to complete the statement.
Answer:
Step-by-step explanation:
What they are asking for here is where the y-values are negative in interval format. Intervals are x things only, no y's allowed. So the interval of (-infinity, -3) indicates an x value of negative infinity to an x value of -3. The y's are negative from an x value of negative infinity to an x-value of -3, then again from an x value of almost -1 to an x value of almost positive 1. So your choice is the last one listed there.
