Answer:
a) the required probability is 0.0013
b) the required probability is 0.0288
c) the required probability is 0.9759
Step-by-step explanation:
Given the data in the question;
let x be the thickness measurements
Given that X follows a Normal distribution with mean μ = 5.4
standard deviation σ = 0.8
then z = x-μ / σ = x-5.4 / 0.8 follows standard Normal
a) probability that the thickness is less than 3.0 mm
P( x<3 ) = P( x-5.4 / 0.8 < 3-5.4 / 0.8 ) = P( Z < -3.00 ) = 0.0013
Therefore, the required probability is 0.0013
b) the thickness is more than 7.0 mm
P( x>7 ) = P( x-5.4 / 0.8 > 7-5.4 / 0.8 ) = P( Z > 2.00)
= 1 - P( Z ≤ 2)
= 1 - 0.9772
= 0.0288
Therefore, the required probability is 0.0288
c) the thickness is between 3.0 mm and 7.0 mm
P(3< x<7 ) = P( x<7) - P(x<3)
= P( x-5.4 / 0.8 > 7-5.4 / 0.8 ) - P( x-5.4 / 0.8 < 3-5.4 / 0.8 )
= P( Z< 2 ) - P( Z < -3)
= 0.9772 - 0.0013
= 0.9759
Therefore, the required probability is 0.9759
Who ever helps gets barinliest.
Answer:
1/8
Step-by-step explanation:
The second option is the answer
Marion is driving between two towns that are close together. If she drives 1⁄5 the trip in 15 minutes, what is her rate per hour?
Answer:
4/5 in one hour
Step-by-step explanation:
15 minutes is 1/4 of an hour so all you need to do is multiply one 1/5 by four
tell me if im wrong plz
Answer:
4/5 in one hour
Step-by-step explanation:
A 24-foot ladder leaning against a wall makes a 30 ° angle with the ground . How high up on the building is the top of the ladder ?
HELP ASAP
Answer:
[tex]12\:\mathrm{ft}[/tex]
Step-by-step explanation:
When the ladder is leaning against the wall, a 30-60-90 triangle is formed. The ladder acts as a 24-foot hypotenuse. Because the height is facing the [tex]30^{\circ}[/tex] angle, the height is half the hypotenuse (30-60-90 rules). If you forget the side rules for a 30-60-90 triangle, simply use basic trig on the right triangle:
[tex]\sin 30^{\circ}=\frac{h}{24},\\h=24\sin 30^{\circ},\\h=24\cdot \frac{1}{2},\\h=\fbox{$12\:\mathrm{ft}$}[/tex].
What is the value of the expression 10 + ( fraction 1 over 2 )4 ⋅ 48? (1 point)
a
12
b
13
c
16
d
18
Answer:
106
Step-by-step explanation:
10 + (1/2)(4)(48) = 10 + 2(48) = 10 + 96 = 106
In the Equation 4x + 3y = 7 which value is a coefficient
The co-efficient value is "4 and 3".
Coefficient equation:[tex]\to 4x + 3y = 7[/tex]
Using the standard form to calculate value:
[tex]\to ax+bx+c=0[/tex]
compare the above value:
[tex]\to 4x + 3y -7=0\\\\\to ax + by +c=0\\\\[/tex]
co-efficient of x = 4
co-efficient of y = 3
constant term= -7
Therefore, the final answer is "4,3".
Learn more about the coefficient here:
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The table shows the proportional relationship y=kx. Which is the unit rate,k?
Pls help
Answer:
[tex]k=\frac{4}{7}[/tex]
Step-by-step explanation:
The equation [tex]y=kx[/tex] represents a proportional relationship that always passes through the origin. Excluding of the origin, you can plug any [tex](x,y)[/tex] coordinate into this function to get [tex]k[/tex].
Using the first coordinate, we have:
[tex]4=k(7),\\k=\frac{4}{7}[/tex]
Verify that [tex]y=kx[/tex] works for the other coordinates [tex]\checkmark[/tex]
Thus, the value of constant [tex]k[/tex] is [tex]\fbox{$\frac{4}{7}$}[/tex].
And remember the little $4308 pizza-mistake? How many weeks would you have
to work to pay for this mistake with the $13 bounced check? Round up to the next
whole week.
weeks
It required 332 weeks to pay the whole amount.
Given that,
Amount to repay = $4308
Amount to be repaid in a week = $13
The number of weeks that will be consumed is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Let the number of weeks be x,
By arithmetic operations
13x = 4308
x = 4308 / 13
x = 331.34
x ≈332 weeks
Thus, It required 332 weeks to pay the whole amount.
Learn more about arithmetic here:
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24 bottles of water at Costco cost $3.99 what is the unit rate?
Answer: 0.16 onces
Step-by-step explanation: divide the price of certain number of units of an item by the number of units to find the unit price of that item.
EX: To find the unit price of 12 ounces of soup that costs $2.40, divide $2.40 by 12 ounces, to get unit price of soup as $0.20 per ounce.
When plotting points on the coordinate plane
below, which point would lie on the x-axis?
(6,0)
(0, 2)
(3.8)
(5,5)
Answer:
(6,0)
Step-by-step explanation:
What percent of 40 is22 ?
Answer: 181.82
Explanation:
Step 1: We make the assumption that 22 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100%=22.
Step 4: In the same vein, x%=40.
Step 5: This gives us a pair of simple equations:
100%=22(1).
x%=40(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the left hand side of both equations have the same unit (%); we have
100 percent/X percent = 22/40
Step 7: Taking the inverse (or reciprocal) of both sides yields
100 percent/X percent = 40/22
X = 181.82%
Therefore, 40 is 181.82% of 22.
Hope this helps^-^.
Evaluate f (x) = 3(2)^x for x = -1
Answer:
3/2 or 1.5
Step-by-step explanation:
3(2−1)
=3(
1
2
)
=
3
2
The value of 3(2)ˣ for x = -1 is 3/2
What is simplification?In mathematics, simply or simplification is reducing the expression/fraction/problem to a simpler form. It makes the problem easy with calculations and solving.
Given is a function, f(x) = 3(2)ˣ
When x = -1
f(-1) = 3(2)⁻¹
f(-1) = 3x2⁻¹
f(-1) = 3x1/2
f(-1) = 3/2
Hence, The value of 3(2)ˣ for x = -1 is 3/2
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Help please
120
50
30
150
Answer:
Angle 4 will also be 150 degrees
What is the area of Triangle PQR on the grid?
A. 2 square units
B. 3 square units
C. 4 square units
D. 8 square units
Answer: It’s C. 4 square units
Step-by-step explanation:
Order 0.5 , 0.66 , -1.5 , -1.25 from least to greatest
Answer:
-1.25, -1.5, 0.5, 0.66
hope it helps you
HELP PLZ THIS IS DUE just write it on paper or in text JUST HELP ME 100
Answer:
for the first pic: 30 students
second: 4(1/5 + 2/3), 3 7/15
third: 2 3/5
Step-by-step explanation:
I will give brainiest to whoever answers correctly !!
Determine the solution 5(2x-6)=7x-3
Answer:
X=9
Step-by-step explanation:
10x-30 = 7x-3
10x-7x = -3 + 30
3x = 27
x=9
Triangle ABC has vertex coordinates A(0, -3), B(-1,0), and C(-2, -1). It is
reflected across the x-axis. What are the coordinates of A'B'C?
O A. A'(3,0), B'0,1),C'(1.-2)
B. A'(0,3). B'(-1,0).C1-2,1)
C. A'0.-3).B'(1,0).C12,-1)
D. A'(-3,0).B'0.-1).C'(-1,-2)
9514 1404 393
Answer:
B. A'(0,3), B'(-1, 0), C'(-2, 1)
Step-by-step explanation:
The transformation for reflection across the x-axis is ...
(x, y) ⇒ (x, -y) . . . reflection across the x-axis
Then ...
A(0, -3) ⇒ A'(0, 3) . . . . . . matches choice B only
Generalize Algebra Find the unknown number.
15. 12, 24, 36, ____
Answer:
48
Step-by-step explanation:
Count by 6
Question 1: need help asap
Ellie and Isaiah are helping their friend Nora move, off Ellie can move 4 boxes for every 16 boxes that Isaiah moves, then how many boxes can Isaiah move for every box that Ellie move?
ANSWER; Work with a good mind and you can do it with know body help Step-by-step explanation:
guys I have a band test and pleaseeeee help me out
The natural minor scale -
A follows the key signature of the relative Major.
B Follows the key signature of the relative Major and adds the leading tone.
C follows the key signature of the relative Major, and raises the 6th and 7th ascending, and flats the 6th and 7th descending.
D has the same root as the relative Major.
Answer:
i think its c
Step-by-step explanation:
I need help ASAP please
Mark has less than 20.00 to spend on the cost of dinner
Why is it impossible for m
Answer:
? What M? What is impossible?
simple math! i'll mark you if you get it right
$100 because if you follow the line from 5 hours to the line it lines up with 100 dollars
Explain how you have solved for x and show your workings out. I will award the brainliest 25 points!
Answer:
The value of [tex]x[/tex] is 10º.
Step-by-step explanation:
From Euclidean Geometry we remember that the sum of internal angles within a triangle equals to 180º. We present the resulting triangle after applying some geometric handling in the image attached below. Then, the triangle satisfies the following equation:
[tex]100^{\circ} + (80^{\circ}-5\cdot x)+(4\cdot x +10^{\circ}) = 180^{\circ}[/tex] (1)
[tex]190^{\circ} - x = 180^{\circ}[/tex]
[tex]x = 10^{\circ}[/tex]
The value of [tex]x[/tex] is 10º.
xy^2-x^2y
x= -1
y= -2
Answer:
xy(x-1y)
Step-by-step explanation:
xy^2-x^2y
=solution,
taking common
xy(x-1y)
What is the value of 16 - 3k + 5 when k = 4?
Answer:
9
Step-by-step explanation:
Substitute 4 as k into the equation.
16 - 3(4) + 5
simplify
16 - 12 + 5
4 + 5
9
The answer is 9.
Answer:
9
Step-by-step explanation:
16-3(4)+5
16-12+5 use BODMAS rule
16-7
9
Write a unit rate word problem. Please include the solution.
Answer:
bob goes 28 miles in 2 hours while traveling to the store. how many miles does he drive per hour. the answer is 14 miles per hour