Answer: Length: ≈20.5 Breadth: ≈5.5
Step-by-step explanation: x(x+15)=114, solving for x we get 5.547 and 20.547.
The life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed. A random sample of 15 devices is selected and found to have an average life of 5625.1 hours and a sample standard deviation of 226.1 hours.
(a) Test the hypothesis that the true mean life of a biomedical device is greater than 5500 using the P-value approach.
(b) Construct a 95% lower confidence bound on the mean.
(c) Use the confidence bound found in part (b) to test the hypothesis
Answer:
Kindly check explanation
Step-by-step explanation:
H0 : μ = 5500
H1 : μ > 5500
The test statistic assume normal distribution :
Test statistic :
(Xbar - μ) ÷ s/sqrt(n)
(5625.1 - 5500) ÷ 226.1/sqrt(15) = 2.1429 = 2.143
Pvalue from test statistic :
The Pvalue obtained using the calculator at df = 15 - 1 = 14 is 0.025083
α = 0.05
Since ;
Pvalue < α
0.025083 < 0.05 ; Reject H0
The confidence interval :
Xbar ± Tcritical * s/sqrt(n)
Tcritical at 95% = 1.761 ;
margin of error = 1.761 * 226.1/sqrt(15) = 102.805
Lower boundary : (5625.1 - 102.805) = 5522.295
(5522.295 ; ∞)
The hypothesized mean does not occur within the constructed confidence boundary. HENCE, there is significant eveidbce to support the claim that the true mean life of a biomedical device is greater than 5500
Trevor has an investment worth $6,774.50. He made his only deposit in it 22 years ago. Given that the investment yields 2.7% simple interest annually, how big was the initial deposit?
Answer:
4,250.00
Step-by-step explanation:
Brainliest?
Answer:
$4,250.00 Answer choice C
Step-by-step explanation:
Just took the test!
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Jose draws ABC. AB has a length of 10 inches and BC has a length of 15 inches.
Determine whether each measurement could be the length of AC.
Choose Yes or No for each measurement.
a. 4 inches Yes : No
b. 15 inches Yes : No
c. 23 inches Yes : No
d. 5 inches Yes : No
e. 25 inches Yes : No
f. 10 inches Yes : No
Answer:
Step-by-step explanation:
The length of AC should be between 5 inches and 25 inches
Jose in this problem draws a triangle, ABC.
We know the length of two sides of the triangle:
AB = 10 inches
BC = 15 inches
The length of the third side in a generic triangle can be calculated using the cosine theorem:
where
a, b, c are the three sides
is the angle opposite to side
Looking at the formula, we observe that:
- The maximum value for is obtained for , so that . In this case, the length of the missing side (AC, in this case) is
- The minimum value for is obtained for , for which , so in this case the length of AC is
So, the length of AC must be between 5 and 25 inches.
-Random Brainly user
Answer:
10 inches and yes
Step-by-step explanation:
if you start with A then draw a line to B which is 10 inches, then you draw to C 15 inches. to finish the triangle would be A to C which would be the same thenth as A to B. your only choice to finish the triangle is A to C. left and right side of the triangle would be the same. bottom of the triangle is 15, B to C
8. How tall is a stack of 26 coins each 0.03 m thick?
Answer:
0.78
Step-by-step explanation:
0.03*26=0.78 simple math lol
Gabi has been watching TV for 26 minutes. It is now 5:48. What time did she start watching?
Identify all the two-dimensional figures that are cross-sections for each of the three-dimensional solids.
Cube
pentagon
square
triangle
rectangle
octogon
hexagon
trapezoid
Answer:
square, triangle, trapezoid,rectangle
The Two-dimensional figures are square, triangle, rectangle, and trapezoid.
What are two-dimensional figures?Two-dimensional shapes do not have any thickness and can be measured on only two faces. These can be drawn on a sheet of paper with the constitution of two axises only.
The Two-dimensional figures that are cross-sections for each of the three-dimensional solids are:
squaretrianglerectangletrapezoidLearn more about two-dimensional, here:
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I need help with this if anyone got a answer tell me pls
Answer:
15
Step-by-step explanation:
30 + 4x=90
4x=60
x=15
A pool measuring 12 meters by 26 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the path combined is 576 square meters, what is the width of the path?
The width of the path is __?__ meters
Answer:
path width = 3 m
Step-by-step explanation:
let x = the width of the path
(12 + 2x)(26 + 2x) = 576
312 + 24x + 52x + 4x² = 576
4x² + 76x - 264 = 0
divide both sides of the equation by 4:
x² + 19x - 66 = 0
(x + 22)(x - 3)= 0
x = 3 m
consider the following total cost functions TC=3Q^3-5Q^2+4Q+150 find the Fixed Cost Function(FC)
Answer: 150
Step-by-step explanation:
A fixed cost is referred to as a cost that does not change with the output level that is, it doesn't change when there is a rose or reduction in the amount of goods or services that are produced.
Since the total cost function is given as
TC=3Q³ - 5Q² + 4Q + 150, we can infer that from the equation the fixed cost is 150 while the variable cost is 3Q³ - 5Q² + 4Q
How are these two scenarios different: 3 people went to the zoo and tickets cost
$15 each in comparison to: 3 people go to the carnival, where tickets cost $15
each and parking costs $10.*
FOR BRAINLIST!!!!
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
two angles on the same position on different lines :)
Kareem said that four fifths of his age is 16years how old is Kareem?
Answer:
12.8 so about 13
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
4/5 of his age = 16
1/5 of his age = 16/4=4
which means that 5/5 of his age = 16+4 = 20
I NEED HELP ASAP PLEASE
what adds to 3 and multiplies to -70
Trace this composite figure.
2 cm
2 cm
4 cm
h
5 cm
3 cm
6 cm
Answer:
The answer is 6cm
Step-by-step explanation:
2cm(the one on top) and 4cm are directly opposite the unknown side which is the same when being cut horizontally so therefore the unknown side is equal to 2cm+4cm which is = 6cm
how many pints are equal to 28 quartz
Answer: 56
Step-by-step explanation: PLZ GIVE BRAINLIEST!
Answer: 56 pints
Step-by-step explanation: Hope this help
Translate the English expression into an equivalent mathematical expression, then simplify.
If a person earns $326 for working 40 hours, what is that person’s hourly wage?
which angles are vertical to each other
Answer:
You need to attach the picture of the angles
Answer:
right
Step-by-step explanation: because ones left and 1 right
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!! IF YOU PUT A LINK YOU WILL BE REPORTED!!!!!!!!!
Answer:
A. False
B. True
C. True
D. True
Step-by-step explanation:
Hey man good luck that’s all i can say brotha
Homework 2: Special Right Triangles Questions 16-24
I’ll give brainliest!
Factor out the common terms: 24a + 12b - 40c
I'll give brainliest
Answer:
4(6a+3b-10c)
Step-by-step explanation:
Answer and Step-by-step explanation:
All of the terms have a common factor of 4.
4(6a + 3b - 10c)
#teamtrees #PAW (Plant And Water)
How much more popcorn does the bigger box hold than the smaller box? cm^3
9514 1404 393
Answer:
70 cm³
Step-by-step explanation:
Amanda's container holds ...
V = LWH = (10 cm)(10 cm)(13.5 cm) = 1350 cm³
Mary's container holds ...
(8 cm)(8 cm)(20 cm) = 1280 cm³
The larger box holds 1350 -1280 = 70 cm³ more popcorn.
Choose all the possible solution that makes the inequality statement True
b6+5≥10
0
30, 31, 32
30, 29, 28
-30, -29, -28
Answer:
Second and third answer
Step-by-step explanation:
Correct :
Second : 30,31,32
this is because it makes it GREATER than 10 and we are looking for equal or greater than 10.
Third : 30 , 29 , 28
Again same reason
Wrong :
First : 0
This is wrong because it would plug in as (0)(6) + 5 ≥10
solve it :
0*6 = 0 so
0+5 ≥10 , so i tis wrong
Last option : -30,-29,-28
This is because multiplying negative with positive number woulf get a negative number. And the adding 5 would make it greater but wont be enough to change it to a positive number equal to or greater than 10.
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Answer:
b. x=20
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The question is asking which number is bigger than 19 and less than 25.
The only one that fits the criteria is B. 20.
As a reference, look at which way the "alligator mouth" is facing. That number is supposed to be bigger.
If x>y, then x is bigger because the alligator mouth is facing the x.
which number multiplied by itself will give the output as 12345678987654321?
Answer:what we observe is that the square of the number follows a pattern: 2 1's gives 121. 3 1's gives 12321. so to get 12345678987654321 we need to get square of 9 1's(111,111,111).
What is the difference of 95,216 and 35,535? a59,681 b60,321 c60,781 D130,751
Answer:
the answer is A) 59, 681
Step-by-step explanation:
all you have to do is subtract
so 95,216 - 35,535= 59,681
hope i helped
-lvr
What is the slope of the line through (1, 1) and
(4.1)
Answer:
m = 0
Step-by-step explanation:
Let's figure out the change in x (the 'run') and the change in y (the 'rise'). Going from the first point to the second, we see that x increases by 3 and y stays the same. Therefore we know that the line is a horizontal one with zero slope.
Helppppp!!!!!!!!! Plz
Only two more questions
Answer:
60
Step-by-step explanation:
if it has a square in the center of the angle it means it is 90 degrees
so a straight line adds up to 180b
90 +30+x=180
x=60
The product of 1 1/2 and 2 is less than, equal to, or greater than 2
Answer:
The answer is 1 1/2 < 2
Step-by-step explanation:
If we convert 1/2 into a decimal, we would get .5. Add that to 1 and we get 1.5. Therfore, 2 > 1.5