10. Type in the correct Inequality
Answer:
x > 8
Step-by-step explanation:
The open circle means that 8 is not included in the solution.
All values greater than 8 are included.
Answer: x > 8
Please help I’ll mark you as brainliest if correct
Answer:
I think it is 75
Step-by-step explanation:
because you divide 45 by 3 to get 15 then 15 x 5 is 75:)
give the correct triangle congruence theorem
. A shipyard makes a container ship that can withstand the total amount of weight W, which is normally distributed with mean of 600 tons and standard deviation of 60 tons. Let us assume that the weight of a single container that will be loaded to the container ship is also normally distributed with mean of 4 tons and standard deviation of 0.4 tons. What is the maximum number of containers that the ship can load and still have at least a 90% chance to not exceed its weight limit
Answer:
the maximum number of containers that the ship can load is 170
Step-by-step explanation:
Given the data in the question;
W ~ N( 600, 60 )
S ~ N( 4n, 0.4√n )
so
p( W > S ) = 0.90
⇒ P( W - S > 0) = 0.9 ------ let this be equation 1
now, since W and S are independent
Mean( W - S ) = Mean( W ) - Mean( S 0 = 600 - 4n
and
SD( W - S ) = √( var(W) + var(S) ) = √( 60² + 0.4²n)
hence;
W - S ~ N( 600 - 4n, √( 60² + 0.4²n) )
now, from equation one, P( W - S > 0) = 0.9
[tex]P( \frac{(W-S)-Mean(W-S)}{SD(W-S)} > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = 0.90[/tex]
[tex]P( z > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = 0.90[/tex]
from z- table
[tex]P( z > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = P( z >-1.282)[/tex]
[tex]\frac{4n - 600}{\sqrt{60^2 + 0.4^2n} } = -1.282[/tex] ------------------ let this be equation 2
now, we square both sides of equation 2
[tex]\frac{(4n - 600)^2}{60^2 + 0.4^2n} } = (-1.282)^2[/tex]
[tex]\frac{(4n - 600)(4n-600)}{3600 + 0.16n} } = 1.643524[/tex]
we cross multiply
16n² + 360000 - 4800n = 1.643524( 3600 + 0.16n )
16n² + 360000 - 4800n = 5916.6864 + 0.26296384n
16n² + 360000 - 5916.6864 - 4800n - 0.26296384n = 0
16n² + 354083.3136 - 4800.26296384n = 0
16n² - 4800.26296384n + 354083.3136 = 0
solving the quadratic equation, we know that;
x = -b±√( b² - 4ac ) / 2a
so we substitute
x = [-(-4800.26296384) ±√( (-4800.26296384)² - (4 × 16 × 354083.3136)] / [2×16]
x = [ 4800.26296384 ±√( 23042524.522 - 22661332.0704 ] / 32
x = [ 4800.26296384 ±√(381192.4516) ] / 32
x = [ 4800.26296384 ± 617.4078 ] / 32
Hence;
x = [ 4800.26296384 - 617.4078 ] / 32 or [ 4800.26296384 + 617.4078 ] / 32
x = 131 or 170
Therefore, the maximum number of containers that the ship can load is 170
Two students were asked if they liked to read. Is this a good example of a
Yes, this is a good statistical question because a variety of answers
Yes, this is a good statistical question because there are not a varie
No, this is not a good statistical question because there are not a
No, this is not a good statistical question because there are a van
Answer:
C. No, this is not a good statistical question because there are not a.
Step-by-step explanation:
Because you need a big amount of people to ask for it to be a A good statistical question.Your welcome! Please mark brainliest!
(Or please correct me if I'm wrong)
SOMEONE CAN HELP ME , PLEASE I NEED THIS NOW
You have 2 shapes, a rectangle and a half circle.
Area of rectangle = 3 x 8 = 24
Area of a half circle = 1/2 x pi x r^2
Area of half circle = 1/2 x 3.14 x 4^2
Area of half circle = 25.12
Total area = 24 + 25.12 = 49.12 square units
Answer:
You have 2 shapes, a rectangle and a half circle.
Area of rectangle = 3 x 8 = 24
Area of a half circle = 1/2 x pi x r^2
Area of half circle = 1/2 x 3.14 x 4^2
Area of half circle = 25.12
Total area = 24 + 25.12 = 49.12 square units
finished
Automated manufacturing operations are quite precise but still vary, often with distribution that are close to Normal. The width in inches of slots cut by a milling machine follows approximately the N(1,0.001)N(1,0.001) distribution. The specifications allow slot widths between 0.999750.99975 and 1.000251.00025. What proportion of slots meet these specifications
Answer:
The answer is "15.85%"
Step-by-step explanation:
The complete question is defined in the attachment file please find it.
Given:
[tex]\mu = 1\\\\\sigma = 0.001 \\\\[/tex]
Converting the Standard Normal:
[tex]\to P(X < x) = P( Z < \frac{( X - \mu )}{\sigma} )\\\\\to P ( 0.9998 < X < 1.0002 ) = P ( Z < \frac{( 1.0002 - 1 )}{0.001}) - P ( Z < \frac{( 0.9998 - 1 )}{0.001})\\\\[/tex]
[tex]= P ( Z < 0.2) - P ( Z < -0.2 )\\\\= 0.5793 - 0.4207\\\\= 0.1585\\\\= 15.85\%\\\\[/tex]
A police officer claims that the proportion of drivers wearing a seat belt in a certain area is less than 40%. To test this claim, the officer collects a random sample of 80 drivers and monitors if the driver was wearing a seat belt. From this sample of 80 drivers, the police offers observes that 34 were wearing seat belts. Assume the conditions needed to conduct a one sample proportion test are satisfied. The setup for the null and alternative hypothesis is as follows: H0:p=0.40; Ha:p<0.40, which is a left-tailed test. The test statistic and p-value for this Hypothesis test are given as follows: z=0.456, p-value=0.676. Which of the following are appropriate conclusions for this hypothesis test? Select all that apply.
Answer:
Fail to reject the null because the p-value is greater than significance level (0.05). Therefore we have convincing evidence that the proportion of drivers wearing a seat belt is equal to 40%.
Step-by-step explanation:
I am assuming that the significance level is 0.05, so we would fail to reject the null, because the p-value is 0.676 which is greater than the significance level. Whenever the p-value is greater than the signifigance level we fail to reject the null.
Omar is born weighing 8 pounds,3 ounces.The doctor says he should gain a about 5 ounces each week for the next 4 weeks.How much should Omar weigh after 4 weeks?
Can someone please tell 5% as a fraction
Answer:
5/100 = 1/20
Step-by-step explanation:
5% = .05 = 5/100 = 1/20
Which is a function?
O {(-3,5), (1,4), (3,7), (1,7),(4,9)}
O {(7,9), (13,-2), (8,4), (7,0), (4,12)}
O {(2,1),(-1,7), (6,-2), (10,3), (-6,0)}
O {(-2,4), (7,4), (-6,8), (-2,8), (1,1)
Whoever tells me the correct answer gets brainlest and thanks . please help me thanks!
Answer: Rectangle and Parallelogram
Step-by-step explanation:
Answer:
One could be a parallelogram that does not contain an internal right angle and the other a rectangle.
Step-by-step explanation:
How much money is 15% of $ 14.99
Answer:
The discount is $2.25 and the final price will be $12.74
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 14.99 × 15/100
Discount = 14.99 x 0.15
You save = $2.25
Final Price = Original Price - Discount
Final Price = 14.99 - 2.2485
Final Price = $12.74
hope this helps and is right. p.s. i really need brainliest :)
Answer:
$12.74
Step-by-step explanation:
15% of 14.99 dollars
14.99-2.25=12.74
Final answer=12.74 dollars
help help Find the surface area of the figure !
Answer: 340 in. squared
Step-by-step explanation:
17*7=119
15*7=105
8*7=56
8/2*15=60
119+105+56+60=340 in.^2
PLEASE HELP
The Miller family spent a total of $317.05 hosting a party for their grandparents' 50th wedding anniversary. They spent $48.55 on decorations and $8.95 per person on food.
Which equation could be used to find the number of people (x) at the anniversary party?
A.
48.55 + 8.95x = 317.05
B.
48.55x + 8.95 = 317.05
C.
48.55x − 8.95 = 317.05
D.
48.55 − 8.95x = 317.05
determine length of RT
Answer:
20
Step-by-step explanation:
I need help with all of this
Find mZDOC.
A)
22°
B)
44°
C)
107
D)
126
Answer: [tex]107^{\circ}[/tex]
Step-by-step explanation:
[tex]m\angle DOC=\frac{170+44}{2}=\boxed{107^{\circ}}[/tex]
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!
Answer:
i think your answer would be d
Step-by-step explanation:
The trophic level of an organism is the number of steps it is from the start of the chain
Answer:
D)
Step-by-step explanation:
It starts out with a leaf (1st trophic level)
the leaf then gets eaten by the caterpillar (2nd trophic level)
then, the chameleon eats the caterpillar ( 3rd trophic level)
next, the chameleon gets eaten by the snake ( 4th trophic level)
finally, the snake gets eaten by the mongoose ( 5th trophic level)
Therefore, there are 5 trophic levels
f(x)=
2x
2
−x−15
−4x+12
Answer:
f(x) = -x -3
Step-by-step explanation:
help pleaseeeeeeeeeeeeeee
Answer:
C.30
Step-by-step explanation:
Its a pattern that increases by $5 as it goes down.
Find the areas of the trapezoids.
Answer:The top side is 5,the top is 2,the bottom side is 5,and the bottom is 5
Answer For the other shape:The top is 2,the bottom is 6,the left is 4,the right is 4
Step-by-step explanation:
Portions of three rectangles are shaded as shown. What is the area of the shaded region?
8 ft
10 ft
5 ft
12 ft
4 ft
Area of the Shaded Region:
square feet
Answer:
4ft
Step-by-step explanation:
Answer: 77ft
Step-by-step explanation:
Find the distance between the pair of points (3, 5) and (-3, 8)
Answer: 3
Step-by-step explanation:
Igor, whose eye height is 4.5 ft., wishes to find the height of an oak tree out in front of his castle. He places a mirror on the ground between himself and the tree. He is now 5.5 feet away from the center of the mirror and the mirrors is 70 feet from the tree. What is the height of the oak tree in front of Igor´s castle?
Please this is due in 15 minutes
(3/4)(-4/3) = 0
True or False
Answer:
False
Step-by-step explanation:
(3/4)(-4/3)=-3/2
Answer:
true
Step-by-step explanation:
your welcome
look at pic 10 pts will mark brainilest
answer choices:
a: 0%
b: 25%
c: 50%
d: 75%
e: 100%
Answer:
0
Step-by-step explanation:
Answer:
no account has been made so 0% is a required percentage
Given an equilateral triangle with sides of length 9, find the length of the altitude.
Hi his figure is made up of unit cubes, each with a volume of 1 cubic unit.
What is the volume of the figure?
( photo is attached)
(Will give brainliest if you help)
Answer:
D. 100 cubic units
Step-by-step explanation:
There are 10 cubes in each layer (count at the top) and 10 layers (from top to bottom) in total. Multiply these to get volume.
10 x 10 =100
Answer:
B. 60 cubic units
Step-by-step explanation:
Formulas for a cube:
The volume of a cube:
V = a3
The surface area of a cube:
the area of each face (a x a) times 6 faces
S = 6a2
Face diagonal of a cube:
By the Pythagorean theorem, we know that
f2 = a2 + a2
Then f2 = 2a2
solving for f we get
f = a√2
Diagonal of the solid cube:
Again, by the Pythagorean theorem, we know that
d2 = a2 + f2
substituting f into this equation we get
d2 = a2 + (a√2)2 = a2 + 2a2 = 3a2
solving for d we get
d = a√3