Answer:
The calculated t- value = 1.11 > 2.89 at 0.025 level of significance
Null hypothesis is rejected
The engineer designed the valve such that it would produce a mean pressure is not equal to 5.4
Step-by-step explanation:
Step(i):-
Given mean of the Population (μ) = 5.4
Given sample size 'n' = 9
Mean of the sample (x⁻) = 5.7
Standard deviation of the sample (s) = 0.81
Step(ii):-
Null Hypothesis: H₀: The engineer designed the valve such that it would produce a mean pressure of 5.4
H₀: μ = 5.4
Alternative Hypothesis : H₁: μ ≠ 5.4
Level of significance = 0.025
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{5.7 -5.4}{\frac{0.81}{\sqrt{9} } }[/tex]
t = 1.11
Degrees of freedom
ν = n-1 = 9-1 =8
t₀.₀₁₅ , ₈ = 2.89
The calculated t- value = 1.11 > 2.89 at 0.025 level of significance
Null hypothesis is rejected
The engineer designed the valve such that it would produce a mean pressure is not equal to 5.4
The shipping cost for order at an online store is 1/10 the cost of the items you order. What is an expression for the total cost of an order of $79? A. 0.10($79) B. $79 + 0.1($79) C. $(79 + 0.10)
Answer:
B. $79 + 0.1($79)
Step-by-step explanation:
Given that;
the shipping cost for an order = 1/10 multiply by the cost of the items bought;
i.e. [tex]\dfrac{1}{10}\times x[/tex]
where
x = cost of items ordered for.
This implies that:
[tex]\implies[/tex] x + 0.1x
The objective is to determine the expression for the total cost of an order which is $79
x = 79
Then, the total cost of an order is
$79 + 0.1($79)
Explain in detail with at least two sentences how to represent the product of A and B geometrically given that A=15 + 56i and B = 7 + 4i. Give the coordinate of A • B in polar form.
Answer:
Basically each part of the first complex number gets multiplied by each part of the second complex number. You are multiplying 2 binomials.
(15 + 56i(7 + 4i)
= 105 + 60i + 392i + 224i^2
= 105 + 452i - 224 ( because i^2 = -1)
= - 119 + 452i
Step-by-step explanation:
let me know if this helps!
Find the dimensions of a triangle given the base, height, and area. b=8 inches h=7 inches A=28 square inches
Answer:
Step-by-step explanation:
The formula for the area of a triangle of base b and height h is A = (1/2) (b)(h).
Here A = 28 in^2, so 28 in^2 = (1/2)(8 in)(7 in), or
28 in^2 = 28 in^2
How you solve
-9+[b-8]=-5
your answer is B= 12 your welcome :)
Sebastian has a bag of 15 blue marbles, 18 red marbles, and 12 yellow marbles. He reaches into the bag three times and pulls out 2 red marbles and a blue marble. What is the probability that he reaches into the bag and pulls out a yellow marble next? A. 1/4 B. 8/21 C. 2/7 D. 5/14
===================================================
Explanation:
Initially there are 15+18+12 = 45 marbles total. He selects 3 marbles (2 reds, 1 blue).
Assuming he doesn't put the three marbles back, this means there are now 45-3 = 42 marbles overall. The yellow count hasn't changed since the first three marbles do not involve yellow. We have 12 yellow out of 42 which leads to the fraction 12/42 to represent the probability of getting yellow.
Reduce 12/42 to get 2/7. You divide both parts by the GCF 6.
-------
Side note: if he did put the marbles back, then the probability of getting yellow would be 12/45 = 4/15
A group of 6 students is surveying their classmates to get feedback about different clubs they're involved in. If each surveys more than 2 of their classmates, the total number of completed surveys, s(x), is given by the equation s(x)=6x. What could be the domain of this function?
Answer:
The domain would be given by D = {X ≥ 2} X = [2, Z]. Since the variable Z is the number of children in the school. And the 6 children should not survey the same person, it would be Z / 6 for each interviewer.
Step-by-step explanation:
- If the group of children surveys more than 2 classmates, it means that the number with which the survey begins is 12 students.
And since the maximum number of students in the school is given by the variable of Z, then Z is the number with which the domain closes.
The rank would be given by the set of [2, Z]
Z / 6 being the maximum number of children surveyed by 1 interviewer.
The Domain of given function is, [tex]x\geq 2[/tex]
The Domain of function is defined as, all input values for which function is defined.
The total number of completed survey is given by a function,
[tex]s(x)=6x[/tex]
Since, If the group of children surveys more than 2 classmates, it means that the number with which the survey begins is 12 students.
It means value of x is always greater and equal to 2.
So that, [tex]x\geq 2[/tex]
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The points P, Q, R and S all lie on the same line segment, in that order, such that the ratio of PQ : QR: RS is equal to 4:2:1. If PS = 14, find PR.
Answer:
PR = 12
Step-by-step explanation:
P-----------Q-----------R----------S
ratio
4:2:1
PS = 14
add the ration = 4 + 2 + 1 = 7
14 / 7 = 2
PQ at 4 x 2 = 8
QR at 2 x 2 = 4
RS at 1 x 2 = 2
------------
14
PR = PQ + QR
PR = 8 + 4
PR = 12
The length of the line segment PR is 12 units.
What is a line segment ?A line segment is a subset of a line which has two endpoints.
According to the given question The points P, Q, R and S all lie on the same line segment PS and the ratio of PQ : QR: RS is equal to 4:2:1.
Assuming PQ = 4x, QR = 2x and RS = x.
We know PQ + QR + RS = PS.
∴ 4x + 2x + x = 14.
7x = 14.
x = 2.
PR = PQ + QR.
PR = 4(2) + 2(2).
PR = 8 + 4.
PR = 12.
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Pls help me answer word problems about polynomials
Thank you!!!
Problem 1
1.a. Use addition or subtraction to rewrite the equation.
13 POINTS
Enter the new equation as your answer.
7x - 3 = -17
Enter your answer
2.b. Use multiplication or division to rewrite the equation that you entered as an answer in part a.
Enter the new equation as your answer. *
(1 Point)
Enter your math answer
Answer:
7x = -14x = -2Step-by-step explanation:
1. Using the addition property of equality, we can add 3 to both sides of the equation. Then it can be rewritten as ...
7x -3 +3 = -17 +3
7x = -14
__
2. Using the division property of equality, we can divide both sides of the equation by 7. Then it can be rewritten as ...
7x/7 = -14/7
x = -2
_____
Additional comment
Note that we have used these steps to solve the equation, find the value of x that makes it true. We could use different steps to rewrite the equation to almost anything you want:
7x -3 -95 = -17 -95 ⇒ 7x -98 = -112 . . . . . subtract 95 from both sides
12(7x -98) = 12(-112) ⇒ 84x -1176 = -1344 . . . . multiply both sides by 12
The resulting equation is not helpful for finding a solution, but it is an accurate rewrite of the original equation.
Four new word processing software programs are to be compared by measuring the speed with which various standard tasks can be completed. Before conducting the tests, researchers note that the level of a person’s computer experience is likely to have a large influence on the test results. Discuss how you would design an experiment that fairly compares the word processing programs while simultaneously accounting for possible differences in users’ computer proficiency.
Answer:
The following are the solution to this question:
Step-by-step explanation:
The average frequency of each of the four new word processing applications, that can be determined as well as the computer expertise of the consumer, which can be calculated as low and medium. Its information could then be displayed in a table of 3×3, and we'll use ANOVA 2 ways to demonstrate those two comparisons.
which expression is equivalent to the given expression? (1/7x+6)-(4/7x+3)
Answer:
-2/7x+3
Step-by-step explanation:
1/7x+6-4/7x-3
-3/7x+3
Write 75% as a decimal
Answer:
0.75
Step-by-step explanation:
Answer:
0.75
Step-by-step explanation:
type in calculator
n f(x) = 2x , x=5. What is the value of the function?
if PN=29cm and MN=13 , then PM=?
*see attachment for the figure referred to
Answer/Step-by-step explanation:
1. PN = 29
MN = 13
PM = ?
[tex] PN = PM + MN [/tex] (Segment addition postulate)
[tex] PN - MN = PM [/tex] (subtract MN from each side)
[tex] 29 - 13 = PM [/tex] (substitute)
[tex] 16 = PM [/tex]
[tex] PM = 16 cm [/tex]
2. PN = 34, MN = 19, PM = ?
[tex] PN = PM + MN [/tex] (sediment addition postulate)
[tex] PN - MN = PM [/tex] (subtract MN from each side)
[tex] 34 - 19 = PM [/tex] (substitute)
[tex] 15 = PM [/tex]
[tex] PM = 15 cm [/tex]
3. PM = 19, MN = 23, PN = ?
[tex] PN = PM + MN [/tex] (Segment addition postulate)
[tex] PN = 19 + 23 [/tex] (substitute)
[tex] PN = 42 cm [/tex]
4. MN = 82, PN = 105, PM = ?
[tex] PN = PM + MN [/tex] (segment addition postulate)
[tex] PN - MN = PM [/tex] (subtract MN from each side)
[tex] 105 - 82 = PM [/tex] (substitute)
[tex] 23 = PM [/tex]
[tex] PM = 23 cm [/tex]
5. PM = 100, MN = 100, PN = ?
[tex] PN = PM + MN [/tex] (Segment addition postulate)
[tex] PN = 100 + 100 [/tex] (substitute)
[tex] PN = 200 cm [/tex]
What is the place value of the digit 9 in 45.93
The correct answer is
tenths
Answer:
Thousandth
Step-by-step explanation:
|14| > 14 true or false
Answer:
false
Step-by-step explanation:
since its the absolute value it will be equal to 14
Please help me on this one!
Answer:
-1/2
Step-by-step explanation:
The slope of a line parallel is to another line is the same.
So the line in the picture has a slope of -1/2, and since the other line is parallel to the first one, its slope is also -1/2
Three electrons are removed from each of 4 atoms. Write an expression to represent the net change on the charge for the group of atoms.
Answer:
The charge of each electron is -1, so the charge of three electrons is -3. Removing something is denoted by a negative sign. The expression that represents the removal of three electrons from each of four atoms is (-3)(-4).
Step-by-step explanation:
Enjoy
The remaining charge on the group of 4 atoms would be -
q(+) = + 12e.
What are electrons?The electron is a subatomic particle with a negative one elementary electric charge. Electrons belong to the first generation of the lepton particle family, and are generally thought to be elementary particles because they have no known components or substructure.Given is that three electrons are removed from each of 4 atoms
Now, the total electrons lost will be = 3 x 4 = 12 electrons.
The remaining charge on the group of 4 atoms would be -
q(+) = + 12e
Therefore, the remaining charge on the group of 4 atoms would be -
q(+) = + 12e.
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What’s the difference between evaluating an expression for a given value of a variable and solving an equation?
What is the answer to 2log3(x)=4?
Answer:
x ≈ 4.19180
Step-by-step explanation:
[tex]2 log 3(x) = 4[/tex]
[tex]2 log(3)(x) = 4[/tex]
Divide both sides by 2log (3) to isolate x by itself
[tex]\frac{2log(3)(x)}{2log(3)} = \frac{4}{2log(3)}[/tex]
[tex]x = \frac{4}{2log(3)}[/tex]
or x ≈ 4.19180
using a calculator you can write the answer as a rounded number
Felicity put down $800 on a used car. She took out a loan to pay off the balance of the cost of the car. Her monthly payment will be $175. After 9 months how much will she have paid for the car? (Consider ALL the money she has paid so far.) *
Answer:
After 9 months she would have paid $2,375
Step-by-step explanation:
All you really need to do is multiply 175 by 9, giving you 1,575, and then add the original $800 down payment.
idfwuomg1 5000+25000
Answer:
40,000
Step-by-step explanation:
15000+25000=40000
Answer: 40,000
Step-by-step explanation:
25,000 + 15,000 = 40,000
Hope this helps
Plz mark brainliest
7 |r/5|=7
solve the equation
Answer:
r=5 or r=−5
Step-by-step explanation:
Answer:
fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg
Step-by-step explanation:
Find the inverse of y = x^2+5
One number is two less than three times another. If their sum is decreased by two, the result is four. Find the numbers.
The smaller of the numbers is ___ and the larger is ___
Answer: The smaller of the numbers is 2 and the larger is 4.
Step-by-step explanation: 2x3-2=4. 2+4-2=4
Answer:
The bigger number is 1 and the smaller number is also 1
Step-by-step explanation:
One number is 2 less than 3 times another
x + 2 = 3y
If their sum is decreased by 2 the result is 4
(x + 2 + 3y) - 2 = 4
x + 3y = 4
x = 4 - 3y
Substituting value of x, 4 - 3y , in x + 2 = 3y
4 - 3y + 2 = 3y
6 - 3y = 3y
6 = 3y + 3y
6 = 6y
Divide both sides by coefficient of y, 6
y = 1
Substituting value of y, 1 in x + 2 = 3y
x + 2 = 3(1)
x + 2 = 3
x = 3 - 2
x = 1
Mathematics Free Test 1- 0.75 as a fraction.
Answer: [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Convert from decimal to fraction.
0.75 = 3/4. That is your answer.
Answer:
3/4 i believe.
Step-by-step explanation:
Convert 2.7 miles to yards.
Answer:
the answer is 4752
Step-by-step explanation:
*please give me brainliest, i only need four more*
Write a number in which value of the digit 3 is 10 times as much as the value of the digit 3 in 942381 show your thinking.
Answer:
943,281
Step-by-step explanation:
Just move the 3 up a value
If it's in the ten's place, then move it to the hundred's place value.
If it's in the hundred's place, then move it to thousand's place value.
So on and so on...
The number is 943,281.
What is place value?Place value is the value of each digit in a number. The value of every digit in a number is different based upon its position. A number might have two similar digits but different values, which is decided by the position that the digit holds in the number.
Place value is the value of a digit according to its position in the number such as ones, tens, hundreds, and so on.
For example, the place value of 5 in 3458 is 5 tens, or 50. However, the place value of 5 in 5781 is expressed as 5 thousands or 5,000.
Given:
digit 3 is 10 times as much as the value of the digit 3 in 942381
Here the digit 3 is at hundred place value.
Then, after 10 times the place value be at thousand.
hence, the number would be 943,281.
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Which ordered pair is generated from the equation shown below? y = 3x -2
Answer:
hope this helps
Step-by-step explanation:
I don't know I have a similar one but I also don't know that one
Step-by-step explanation:
Samuel was riding in the back seat of the station wagon on the way home after a long and tiring day at the
beach. He fell asleep halfway home. He didn't wake up until he still had half as far to go as he had already
gone while asleep. How much of the entire trip home was Samuel asleep?
Help with diagram please
Answer:
Samuel slept for 1/4 of the distance.
Step-by-step explanation:
The information provided are:
Samuel fell asleep halfway home.He didn't wake up until he still had half as far to go as he had already gone while asleep.Consider that the total distance covered was 1.
Then from the first point we know that Samuel fell asleep after covering a distance of 1/2.
It is provided that he woke up only after covering half of the remaining distance.
That is, he slept for 1/4 of the remaining distance.
Thus, Samuel was asleep for 1/4th of the entire trip home.