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
Wrote an expression equivalent to the one below using the identity property 4x1
Answer:
1x4
Step-by-step explanation:
identity property is any number multiplied by itself is the same number
A gray whale's heart beats 64 times in 8 minutes. What is the whale's heart rate in beats per minute? 8 heartbeats per minute 56 heartbeats per minute 72 heartbeats per minute 512 heartbeats per minute
Answer:
8 heart beats per minute
Step-by-step explanation:
64/8
I appreciate it bro... You are helping me so much
Answer:
○ [tex]\displaystyle Perpendicular[/tex]
Step-by-step explanation:
Convert each equation to Slope-Intercept Form:
[tex]\displaystyle 3y - 6x - 7 = 0 → 3y - 6x = 7 → 3y = 6x + 7 → y = 2x + 2\frac{1}{3} \\ \\ 2y + x = 3 → 2y = -x + 3 → y = -\frac{1}{2}x + 1\frac{1}{2}[/tex]
Take a look at [tex]\displaystyle 2[/tex] and [tex]\displaystyle -\frac{1}{2}.[/tex] Their rate of changes [slopes] have a '2' in common, they are not similar. This tells you that these linear equations are not parallel, but perpendicular, because perpendicular equations have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES].
Did you catch it at all?! ;)
I am joyous to assist you at any time.
What is cos 60°?
60
2
1
90'
309
3
O A.
O B. 2
С.
0
D.
OE.
E.
< PREVIOUS
Answer:
B but sorry 4 the time tho
The measure of the trigonometric relation cos 60° = 1/2
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric relation be represented as A
Now , the value of A is
A = cos 60°
And , cos θ = adjacent / hypotenuse
So , cos 60° = 1/2
Hence , the measure of cos 60° = 1/2
To learn more about trigonometric relations click :
https://brainly.com/question/14746686
#SPJ7
Simplify-2(4x-6)+3(8x+2)
Answer:
-8x +12 + 24x +6 = 0
16x + 18 =0
16x = -18
x = - 18/16 = - 1.125
Lisa has 5 Pink, 3 Red and 12 Blue balls. What is the probability of randomly picking up a Red or Pink ball?
10% of ________ is 7
25% of ________ is 6
Answer:
I got
10% of 70 is 7
Answer:
First one is 70
Second one is 24
Step-by-step explanation:
First one :7*100=700
700÷10=70
The second one :6*100=600
600÷25=24
Someone please help! I’m willing to pay for someone to help me with my five problems!
Answer:
28
Step-by-step explanation:
Since the line is perpendicular to the line coming out of the middle of the circle, both sides are going to be the same. So 14 + 14 =28
If you need more help, you can comment! :)
HELP PLS ASAP 25 POINTS YOU CAN SAVE MY GRADE PLS
Evaluate the expression below when x = 5.
3x(2x - 7)
A.) 0
B.) 24
C.) 45
D.) 143
Answer:
C.) 45
Step-by-step explanation:
3x(2x - 7)
3 * 5 (2 * 5 - 7)
15 * (10 - 7)
15 * 3
45
Hope this helps :)
20 over 35 equals 110 over b
Answer:
[tex]b=192.5[/tex]
Step-by-step explanation:
We can set up the following proportion:
[tex]\frac{20}{35}=\frac{110}{b}[/tex].
Cross-multiply to solve for [tex]b[/tex]:
[tex]20b=110\cdot 35,\\b=\frac{110\cdot35}{20}=\fbox{$192.5$}[/tex].
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Answer:
nice picture bro
Step-by-step explanation:
Find the mean and absolute deviation of 8,9,7,3,5
Answer:
6.4 and 1.92
Step-by-step explanation:
mean is 6.4 and absolute deviation is 1.92
I need help with this question from my daughters 1st grade math class. I believe the answer should be 12 but the teacher says the answer should be 6. How is the answer 6?
Mackenzie picks some apples.
She eats 3 apples.
Now she has 9 apples.
How many apples did Mackenzie pick to start?
A. 3 apples
B. 6 apples
C. 9 apples
D. 12 apples
Answer:
d.12
Step-by-step explanation:
its saying she ate 3 an now has 9. so you really add 3 to 9 an your answer is 12. in other words x=9+3 for your level of math. i'll be glad to help her with her home work for now if you would like me to.
Answer: Option D 12 apples
Step-by-step explanation:
SOOOO
She ate 3 apples and after that, she left with the 9 apples
They asked how many did Mackenzie pick.
SO its past tense
we have to add 3 apples that she just ate
so 9+3= 12 apples
I think your teacher is wrong because I think your teacher thought that she had 9 apples actually she has 9 apples after she just ate. So if it was before she has eaten the apples then it would be 6
Tell the teacher that she/he is wrong and give this explanation
I hope this helps you and your teacher
1/3 as a percent I REALLLLYY NEED GOUR HELPP
Answer:
33% or 33.3% or 33.33%
Step-by-step explanation:
1/3 as a decimal is 1 divided by 3 which ends up being an infinite number: 0.33333333333333333333333...
But you can write it as 33% or 33.3% or 33.33%
Jane drove 693 miles in 11 hours.
At the same rate, how long would it take her to drive 411 miles?
Answer:
approx. 6.523809523809524 hours
Step-by-step explanation:
Let us first find how long it takes Jane to drive 1 mile.
11/693 = approx. 0.015873015873016 hours to drive one mile.
She drives 411 miles, so we can multiply that by 411:
0.015873015873016 * 411 = approx. 6.523809523809524 hours
I hope this helps! :)
Answer:
6.52 hours
Step-by-step explanation:
693 miles divided by 11 hours = 63 miles per hour.
411 miles divided by 63 miles = 6.52380952 miles
Round to 2 decimal places: 6.52 hours
How to get 6/9 as a decimal using division help
If 3 oranges cost $1.75, how much would 18 oranges cost?
Answer:
31.5 i think
Step-by-step explanation:i used multi if its wrong im so sorry
Answer:
10.50$
Step-by-step explanation:
if you divide the cost of 3 oranges by 1 orange you get one oranges price then multiply it by 18.
Square ABCD is shown in the xy-coordinate plane. The square will be
dilated with the center O by a scale factor of 2 to create square A'B'C'D'.
Which statements are true?
Select all that apply.
BC ||B'C'
AC=A'C'
AD_CD
Point D' has the same coordinates as point C.
Point C' lies on the line containing points 0 and C.
9514 1404 393
Answer:
A, C, D, E
Step-by-step explanation:
Dilation does not change angles or directions. Every image point X' lies on the line containing the center of dilation and the pre-image point X. If the scale factor is other than 1, no image segment will be congruent to its pre-image segment. So, the following are true:
BC║B'C'AC ⊥ line C'D'D' and C have the same coordinatesC' lies on line OCPLEASE HELP ME PLEASEEEEEEEEEEEEEE
Which expression is equivalent to 4.25 – (-8)?
sumi
Choose 1 answer:
-8+(-4.25)
B
8 - 4.25
1:59
ice wi
the a
4.25 + 8
on 2:
D
4.25 +(-8)
Answer:
4.25+8
Step-by-step explanation:
the double negative makes it a positive
Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet.
1) 6 feet
2) 16 feet
3) 12 feet
4) 4 feet
Step-by-step explanation:
Volume of square pyramid
= (Base length)² * (Height/3).
Therefore we have 8 = 2² * (h/3).
=> 8 = 4 * (h/3), h/3 = 2, h = 6.
Hence the height is 6 feet. (1)
Find the area of the figure. Assume all measurements are centimeters.
Answer:
The total area of the figure is 68.5 square centimeters.
Step-by-step explanation:
To calculate the total area, we must concieve it by the sum of areas of smaller triangles and rectangles. We present our strategy in the image attached below:
[tex]A = A_{1}+A_{2}+A_{3}+A_{4}+A_{5}[/tex] (1)
Where all areas are measured in square centimeters.
Please notice that [tex]A_{2}[/tex], [tex]A_{3}[/tex] and [tex]A_{5}[/tex] are triangles and [tex]A_{1}[/tex] and [tex]A_{4}[/tex] are rectangles.
The resulting area is calculated below:
[tex]A = (1)\cdot (2) + \frac{1}{2}\cdot (2)^{2} +\frac{1}{2}\cdot (3)\cdot (7)+(9)\cdot (5)+\frac{1}{2}\cdot (2)\cdot (9)[/tex]
[tex]A = 68.5\,cm^{2}[/tex]
The total area of the figure is 68.5 square centimeters.
Suppose that a chemist is mixing two acid solutions, one of 15% concentration and the other of 25% concentration. Which of the following concentrations could not be obtained?
Choose the correct answer below.
Answer: d. 29%
Step-by-step explanation:
The mixture of the two concentrations should equal a concentration that is between the concentration percentages of the two solutions.
This is because the lower concentration percentage will pull the higher one down while the higher concentration will pull the lower one up. It will not be possible to get a mixture concentration that is lower than the lower concentrated acid or higher than the higher concentration acid.
Mixture concentration must be between 15% and 25%.
Option D at 29% is therefore not possible.
please help ILL GIVE BRAINLIEST
Answer:
1 2 and 4th
Step-by-step explanation:
that is it
write an absolute value inequality for the graph below.
use x for your variable.
Step-by-step explanation:
The magnitude of x is equal or less than 7.
=> We have |x| <= 7.
Can any of you plz answer? (math)
what is $7.50 with a added 6% sales price.
Answer:
0.0125 dollars per sales
hope this helps
Step-by-step explanation:
Answer:
7.89 i believe i looked it up
Need help #2. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answer:
please refer to the above attachment
(D) is the right answer.34 1/3% of animals at the shelter are dogs. About what fraction of the animals are dogs?
Answer:
Step-by-step explanation:
34%=34100
=0.34
=0.341×100100
=34/100
=17/50
PLEASE HELP ASAP, MARKING BRAINLIEST! (Read the whole thing please)
Answer:
$288
Step-by-step explanation:
to find the area of one rectangular eave of the roof you have to multiply 24 by the hypotenuse of the 12 ft x 16 ft triangular side, so you can find that by using the Pythagorean Theorem
16² + 12² = c²
256 + 144 = c²
400 = c²
20 = c
Area of one eave = 24 x 20 = 480
Area of total roof = 480 x 2 = 960
set up a proportion to find cost ('x'):
30 = x
100 960
cross-multiply: 100x = 28800
x = $288
