Answer:
(5 x 10^3) (9 x 10^7) = 5 × 9 × 10^3 × 10^7 = 45 × 10^10
The nominal resistance of a wire is 0.15 Ohm. Random testing of the wire stock yields the following resistance data:
0.148 0.147 0.151 0.146 0.151 0.148 0.147 0.152
0.151 0.148 0.149 0.147 0.146 0.149 0.151 0.147
Does the sign test yield the conclusion, at the 5% significance level, that the median resistance is less than 0.15 Ohm?
Answer:
The median resistance of the wire is not small than 0,15 Ω at 0,05 of level of significance
Step-by-step explanation:
From data we get x ( sample mean ) s ( sample standard deviation) and n size of the sample
0.148 0.147 0.151 0.146 0.151 0.148 0.147 0.152
0.151 0.148 0.149 0.147 0.146 0.149 0.151 0.147
n = 16
x ≈ 0,1487
s = 0,00193
Test Hypothesis
1.-Null Hypothesis H₀ x = μ₀ = 0,15
Alternative Hypothesis Hₐ x < 0,15
We assume data follows normal distribution
as n = 16 we should use a t-student table
As the question is : "Is the median resistance less than 0,15 0hm " we must use one-tail-test ( to the left)
Then:
2.-Significance level α = 5 % α = 0,05
degree of freedom n = 16 df = n - 1 df = 15
From t-table we find t(c) = 1,7531 at the left is t(c) = - 1,7531
3.-t(s) = ( x - 0,15 ) / s / √n
t(s) = 0,1487 - 0,15 / 0,00193/√16
t(s) = - 0,0013 * 4 / 0,00193
t(s) = - 2,69
4.- Comparing t(s) and t(c)
|t(s) | > |t(c)| 2,69 > 1,753
Then t(s) is in the rejection region
5.- We reject H₀ . At 95 % of confidence Interval
PLEASE HELP
x + 2/3 = 9/10
Answer:
The answer is x= 7/30
Helppppppppppp I have 3 minutes
Answer:
It definitely is linear, and it is a straight line
Step-by-step explanation:
Try using desmos, it may help
Answer:
A) it is linear and it is a straight line
Step-by-step explanation:
it is a linear equation. It will be straight
y=mx+b is linear
an oil company bores a hole 80m deep estimate the cost of boring if the cost is £30 for drilling the first meter with an increase in cost of £2 per meter for each succeeding meter
Answer: £188
Step-by-step explanation:
Given
The depth of the hole is 80 m
For the first meter, it is £30
After that, it is £2 per meter
after a meter, it is 79 m more
The total cost is C
[tex]\Rightarrow C=30+2\times 79\\\Rightarrow C=30+158=188[/tex]
Rory earned an 84% on his test. He answered 21 questions correctly. How many total questions were on the
test? Round to the nearest tenth if necessary
Answer:
25 questions,
$18.75
Step-by-step explanation:
Remember, to change percents to decimals, divide the number by 100 and remove the parentheses.
1. 84%, or 21 questions of Roy's test were correct.
Let's set the number of questions on the test as "x". We can then write this equation:
84% * x = 21
Simplify.
0.84 * x = 21
Divide both sides by 0.84
x = 25
There were 25 questions on the test.
2. Cheesecake Factory question
We need to find 15% of 125.
15% * 125 =
0.15 * 125 =
18.75
They need to leave a $18.75 tip.
I hope this helps! Feel free to ask any questions!
AccelGR7_Math_T6_FSQ_OL_FY21
Look at this system of linear equations.
S2x + 3y =-4
ly = 2x +4
What is the solution to the system of linear equations?
X = -2, y = 0
x= – 1, y = 2
x = 4, y = - 4
x = 2, y = 8
Answer:
x=-2 and y =0
Step-by-step explanation:
2x + 3y=-4
y=2x + 4
2x -y = -4
4y= 0
y = 0
2x -0=-4
2x =-4
x=-2
Help help thank you
the manager of a school radio station is conducting a survey she wants to find out which type of music introvert how would the manager most likely get a random sample that represents the school population
Answer:
type of music students prefer. How would the manager most likely get a random sample
that represents the school population?
Step-by-step explanation:
I may or may not have given my explanation in my answer 0.0
5th grade math. correct answer will be marked brainliest
Answer:
8 1/12 boxes
Step-by-step explanation:
Your first step to solve this problem is to convert those fractions to a common denominator. I would choose 12. So your first would be 4 4/12 and your second would be 3 9/12. You would then add those up and get 8 1/12 boxes of muffins bought at the bake sale.
PLZZZZ HELPPP MEE!!!!!
Answer:
-60
Explanation:
6x(2x-5) always do what's in the parentheses first
6x(-10)
= -60
given that the circumference of an orange us 50.24mm find the volume of the orange
Answer: 803mm
Step-by-step explanation:
Explain why a variable's coefficient is 1 unless you see another number in front of it.
For adding variables we use the coefficient as 1 if there is no number infront of variable.
What is Expression?An expression is combination of variables, numbers and operators.
A coefficient is a multiplicative factor in some term of a polynomial, a series, or an expression; it is usually a number, but may be any expression.
Let us consider a algebraic expression
ax+by+z=0
In the given expression a, b are coefficients of x and y respectively.
We use coefficient as one when there is no number before a variable because when we add variables there should be some number before varibales. So we consider 1 as coefficient for those variables which does not have any coefficient.
Hence, for adding variables we use the coefficient as 1 if there is no number infront of variable.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
Which statement best describes the point (2,-5)
A.5 units to the left and 2 units up from the origin
B. 5 units to the right and 2 units up from the origin
C. 2 units from the left and 5 units down from the origin
D. 2 units to the right and 5 units down from the origin
HELPPPPPP!!!!!!!