Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Population Mean wage (m) = $24.57
a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.
The Null hypothesis : μ = 24.57
1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.
Alternative hypothesis : μ ≠ 24.57
1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.
Sample size (n) = 30
Sample mean (Sm) = 23.89
Population standard deviation (σ) = 2.40
Obtaining Z:
Z = (Sm - m) / σ/√n
Z = (23.89 - 24.57) / 2.40/√30
Z = - 0.68 / 0.4381780
Z = - 1.5518805
Using the online p value calculator from Zscore
P value = 0.121142
= 0.1211
sol brought a tablet on sale for 45% off the original price. If he paid $132 for it, what was the price of the tablet before the sale?
Answer: 240
Step-by-step explanation:
The price of the tablet before the sale is, $240.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
Sol brought a tablet on sale for 45% off the original price.
And, He paid $132 for tablet.
Now, Let the original price of tablet = x
So, We can formulate;
⇒ x - 45% of x = $132
⇒ x - 45x/100 = $132
⇒ (100x - 45x) / 100 = $132
⇒ 55x = $13200
⇒ x = $13200 / 55
⇒ x = $240
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ2
The second term of a geometric sequence is and the sixth term is 2 and 32
The first term, a and the common ratio, r.
Answer:
There are two sets of solutions:
either [tex]a = 1[/tex] and [tex]r = 2[/tex], or[tex]a = -1[/tex] and [tex]r = -2[/tex].Step-by-step explanation:
The question states that [tex]a[/tex] and [tex]r[/tex] should represent the first term and the common ratio of this geometric sequence, respectively. Therefore:
First term of this sequence: [tex]a[/tex].Second term of this sequence: [tex]r\, a[/tex].Third term of this sequence: [tex]r^2\, a[/tex].And so on so forth. Each term of this sequence after the first term is equal to [tex]r[/tex] times the previous term.Let [tex]n[/tex] denote a positive whole number. In general, the [tex]n\![/tex]-th term of this geometric sequence would be [tex]r^{n-1}\, a[/tex].
The sixth term of this sequence would thus be [tex]r^{6-1}\, a = r^5\, a[/tex].
The fact that the second term is [tex]2[/tex] and the sixth term is [tex]32[/tex] gives two equations about [tex]a[/tex] and [tex]r[/tex]:
[tex]\displaystyle \left\lbrace\begin{aligned}& r\, a = 2 \\ & r^5\, a= 32\end{aligned}\right.[/tex].
Take the quotient of these two equations to eliminate [tex]a[/tex]:
[tex]\displaystyle \frac{r^5\, a}{r\, a} = \frac{32}{2}[/tex].
[tex]r^4 = 16[/tex].
There are two possible roots: either [tex]r = 2[/tex] or [tex]r = -2[/tex].
When [tex]r = 2[/tex], substitute back to the first equation and solve for [tex]a[/tex]: [tex]a = 1[/tex].
On the other hand, when [tex]r = -2[/tex], substituting back and solving for [tex]a[/tex] would give [tex]a = -1[/tex].
Substitute these values into the second equation. Either set of values will work.
Which of the following is a true statement 68/5 - 22/5 = 9 1/5
Please somebody awnser
Answer:
The answer is D
Step-by-step explanation:
I took the test and got it right <3
Answer: The first question in the selection is correct!
Step-by-step explanation:
If the data below were represented with a stem-and-leaf plot, a stem of 2
would have how many leaves?
17, 22, 53, 74, 42, 26, 93, 15, 67, 29, 50
A. 2
B. 3
C. 4
D. 5
A stem of 2 would have 3 leaves.
The correct answer is option (B) 3.
What is stem-and-leaf plot?"It is a special table where each data value is split into a 'stem' (the first digit) and a 'leaf'( the last digit)."
For given data,
17, 22, 53, 74, 42, 26, 93, 15, 67, 29, 50
A stem-and-leaf representation would be:
Stem Leaf/leaves
1 7, 5
2 2, 6, 9
4 2
5 3, 0
6 7
7 4
9 3
From above plot, we can observe that a stem of 2 would have three leaves.
Therefore, option (B) is the correct answer.
Learn more about stem-and-leaf plot here:
https://brainly.com/question/12857419
#SPJ2
(6^-4)^-9/ 6^6 in simple form 30 points
Step-by-step explanation:
[tex]{ ({6}^{ - 4} ) }^{ - 9} \div 6^{6} = {6}^{( - 4) \times (- 9)} \div {6}^{6} = {6}^{( 36)} \div {6}^{6} = {6}^{ (36)- 6} = {6}^{ 30} [/tex]
Which is a possible combination of root types for a 7th degree polynomial? 3 irrational roots, 4 complex roots 6 rational roots, 1 irrational root 7 rational roots 2 rational roots, 2 irrational roots, 3 complex roots
Answer:
There are four possible combinations of root types for a 7th degree polynomial:
(i) 7 rational roots. ([tex]a_{\mathbb{Q}} = 7[/tex], [tex]a_{\mathbb{I}} = 0[/tex], [tex]a_{\mathbb{C}} = 0[/tex])
(ii) 6 rational roots, 1 irrational root. ([tex]a_{\mathbb{Q}} = 6[/tex], [tex]a_{\mathbb{I}} = 1[/tex], [tex]a_{\mathbb{C}} = 0[/tex])
(iii) 2 rational roots, 1 irrational root, 4 complex roots. ([tex]a_{\mathbb{Q}} = 2[/tex], [tex]a_{\mathbb{I}} = 1[/tex], [tex]a_{\mathbb{C}} = 2[/tex])
(iv) 3 irrational roots, 4 complex roots. ([tex]a_{\mathbb{Q}} = 0[/tex], [tex]a_{\mathbb{I}} = 3[/tex], [tex]a_{\mathbb{C}} = 2[/tex])
Step-by-step explanation:
According to the Fundamental Theorem of Algebra, every polynomial with degree higher than zero has at least a solution and at best [tex]n[/tex] complex roots, where [tex]n[/tex] is the degree of the polynomial. In this case, we have 7 roots.
We can rewrite the 7th degree polynomial as a product of a 3rd degree polynomial and 4th degree polynomial. That is:
[tex]p_{7}(x) = p_{3}(x)\cdot p_{4}(x)[/tex] (Eq. 1)
From Algebra we know that both 3rd degree and 4th degree polynomials are solvable by analytical means:
1) All 4th degree polynomials are solvable by Ferrari's method, whose posible solutions are, respectively:
(i) 4 rational roots.
(ii) 4 irrational roots.
(iii) 2 rational roots, 2 irrational roots.
(iv) 3 rational roots, 1 irrational root.
(v) 1 rational roots, 3 irrational roots.
(vi) 2 rational roots, 2 complex roots.
(vii) 2 irrational roots, 2 complex roots.
(viii) 1 rational root, 1 irrational root, 2 complex roots.
(ix) 4 complex roots.
2) All 3rd degree polynomials are solvable by Cardano's method, whose possible solutions are, respectively:
(i) 3 rational roots.
(ii) 3 irrational roots.
(iii) 1 rational root, 2 complex roots.
(iv) 1 irrational root, 2 complex roots.
(v) 3 complex roots.
Please note that complex roots are always presented in conjugated pairs by Quadratic Formula.
The number of solutions of a polynomials are represented by the following expression:
[tex]n = a_{\mathbb{Q}}+a_{\mathbb{I}}+2\cdot a_{\mathbb{C}}[/tex] (Eq. 2)
Where:
[tex]a_{\mathbb{Q}}[/tex] - Number of rational roots, dimensionless.
[tex]a_{\mathbb{I}}[/tex] - Number of irrational roots, dimensionless.
[tex]a_{\mathbb{C}}[/tex] - Number of pairs of complex roots, dimensionless.
Based on this expression, we find the possible root types for a 7th degree polynomial:
(i) 7 rational roots. ([tex]a_{\mathbb{Q}} = 7[/tex], [tex]a_{\mathbb{I}} = 0[/tex], [tex]a_{\mathbb{C}} = 0[/tex])
(ii) 6 rational roots, 1 irrational root. ([tex]a_{\mathbb{Q}} = 6[/tex], [tex]a_{\mathbb{I}} = 1[/tex], [tex]a_{\mathbb{C}} = 0[/tex])
(iii) 2 rational roots, 1 irrational root, 4 complex roots. ([tex]a_{\mathbb{Q}} = 2[/tex], [tex]a_{\mathbb{I}} = 1[/tex], [tex]a_{\mathbb{C}} = 2[/tex])
(iv) 3 irrational roots, 4 complex roots. ([tex]a_{\mathbb{Q}} = 0[/tex], [tex]a_{\mathbb{I}} = 3[/tex], [tex]a_{\mathbb{C}} = 2[/tex])
What isthmus solution to the equation 2x+2=10
Answer:
addition
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
10-2=8
8/2=4
Hope this helps!
The perimeter of a playing field for a certain sport is 214 ft. The field is a rectangle, and the length is 41 ft longer than the width . Find the dimensions.
Answer:
width: 33 ft
length: 74 ft
Step-by-step explanation:
The perimeter of a rectangle is calculated by adding all of the sides together which includes two lengths and two widths. Since the formula for the length is given (l = 41ft + w) and the perimeter is given, then we can simply use the perimeter formula and substitute the value of length with its formula which would only leave us with one variable in the equation w. Now we must solve for w.
l + l + w + w = 214
(41 + w) + (41 +w) + w + w = 214 ... combine like terms
82 + 4w = 214 ... subtract 82 from both sides
4w = 132 ... divide both sides by 4
w = 33 ft
Finally, we can see that the value of the width is 33 ft . Now we plug this value into the formula for length to calculate its value.
l = 41 + w
l = 41 + 33
l = 74 ft
The following equation represents the total price of hot dogs, p=3.25h. How much will you pay for 4 hot dogs? WRITE ONLY THE NUMBER FOR YOUR ANSWER.
Answer:
13
..................
Consider the set of whole numbers from 3 to 30, inclusive.
List the numbers that meet the condition: less than six or prime
List the numbers, separated by commas.
The numbers less than 6 or prime are [tex]4,5,6,7,11,13,17,19,23,29[/tex]
Whole and prime numbers:Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative
A prime number is a number that has only two factors, that is, 1 and the number itself.
The prime numbers between 3 to 30 are,
[tex]7,11,13,17,19,23,29[/tex]
We have to find the numbers that are less than 6 or prime.
Numbers are, [tex]4,5,6,7,11,13,17,19,23,29[/tex]
Learn more about prime numbers here:
https://brainly.com/question/145452
Natalie can do 26 push ups in 2 minutes how many can she do in 7 minutes? set up porportion
Answer:
In seven minutes she can do 91 push ups
Step-by-step explanation:
26*3=78
78+13=91
4. Volunteers are moving a pile of mulch at a park. The pile has 324 cubic feet of mulch. They move it using
wheelbarrows that hold 2.8 cubic feet each. The volunteers can move 11 wheelbarrows per hour. How many
cubic feet are left in the pile after the volunteers have moved mulch for 6 hours?
(1) 89.4
(3) 184.8
(2) 139.2
(4) 206.2
Triangle ABC is shown on the coordinate plane below . The triangle is reflected across the y - axis and then translated 3 units to the right to form triangle A'B'C ' .
PLEASEEE HURRRY
Answer:is D
Step-by-step explanation:
Answer: B
Coordinates: A’ (-3,2). B’ (-3,-3). C’(0,-2)
What is the slope of the line that passes through the points (8, 1) and (5, 7)?
Answer:
m= -2
Step-by-step explanation:
For future reference, you should try using Symbolab, it works really well and I use it ALL the time!
what is point B on the number line?!?
Answer:
-0.4
hope this helps :)
What is the value of X?
Answer:
80 degrees
Step-by-step explanation:
The total sum of all angles is 180 in every triangle, 70 + 30 = 100, 180 - 100 = 80
The Answer is 80 degrees
The equation for line A is shown below: Y= -2/3x-4 Line A and Line B are perpendicular, and the point (-2 , 1) lies on Line B. Which equation Below represents line B?
Answer:
[tex]y = \frac{2}{3}x + \frac{7}{3}[/tex]
Step-by-step explanation:
Given
Line A:
[tex]y = -\frac{2}{3}x - 4[/tex]
Line B:
[tex](-2,1)[/tex]
Required
Determine the equation of Line B
First, we need to determine the slope of A using
[tex]y =mx + b[/tex]
Where:
[tex]m = slope[/tex]
By comparison:
[tex]y = -\frac{2}{3}x - 4[/tex]
[tex]m = -\frac{2}{3}[/tex]
Since A and B are perpendicular:
The slope of B (m2) is:
[tex]m_2 = \frac{-1}{m}[/tex]
[tex]m_2 = -1/\frac{-2}{3}[/tex]
[tex]m_2 = -1 * \frac{-3}{2}[/tex]
[tex]m_2 = \frac{3}{2}[/tex]
The equation of B is calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex](x_1,y_1) = (-2,1)[/tex]
[tex]m = \frac{2}{3}[/tex]
So, the equation becomes
[tex]y - 1 = \frac{2}{3}(x - (-2))[/tex]
[tex]y - 1 = \frac{2}{3}(x + 2)[/tex]
Open bracket
[tex]y - 1 = \frac{2}{3}x + \frac{4}{3}[/tex]
Make y the subject
[tex]y = \frac{2}{3}x + \frac{4}{3} + 1[/tex]
[tex]y = \frac{2}{3}x + \frac{4 + 3}{3}[/tex]
[tex]y = \frac{2}{3}x + \frac{7}{3}[/tex]
Suppose the average yearly salary of an individual whose final degree is a master's is $40 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $119 thousand. Find the average yearly salary of an individual with each of these final degrees. HELP ME!
Bachelor's degree salary = $53000
Master's degree salary = $66000
Step-by-step explanation:
Given that :
Let Salary of bachelor's degree holder = x
Salary of Master's degree holder = 2x - 40000
Master's salary + bachelor's salary = $119,000
Hence,
Master's salary + bachelor's salary = 119,000
2x - 40000 + x = 119,000
3x = 119000 + 40000
3x = 159000
x = 159000 / 3
x = $53,000
Bachelor's degree salary = $53,000
Master's degree salary ; 2x - 40000 ; 2(53000) - 40000 = $106,000 - $40,000 = $66000
Can someone help me with this question?
Answer:
Angle JKN and Angle JKI are supplementary angles.
Step-by-step explanation:
When these two angles are added together, they will equal to 180 degrees.
Answer:
left bottom option
Step-by-step explanation:
when the value of their angles are added they sum up to be 180
3 divided by 5/6=___
Answer:
2.5
Step-by-step explanation:
Howard's pawn shop bought an antique clock at the wholesale price of $725. Howard marked up the price of the clock
30%. What was the list price of the clock?
holour
Answer:
942.50
Step-by-step explanation:
725×30% or 0.3 = 217.5
217.5+725=942.5
The product of 6 and the difference of 8 and a number.
As an algebraic expression
Answer:
6 * (8 - x)
Step-by-step explanation:
When you said "a number" I just wrote x
hope this helps I may have written it wrong
There are 38 buses in the parking lot and each bus holds 74 people how many people are able to ride the buses
Answer:
2812 people
Step-by-step explanation: There are 38 buses and each holds 74 people so 38 x 74= 2812
Hope this helps :)
What is the y-intercept of the line?
YA
2
-2
-2
0
Answer:
1 the line hits the y line at 1
Jon reads 23 pages per hour. In all. How many hours of reading will Jon have to do this
week in order to have read a total of 46 pages?
Answer:
he would have to read 3.307692308 hour
Step-by-step explanation:
Solve the equation. Then check your solution.
1. 1/4 = a +3/8
12 + 5 + 32 × 10 − 5 =
(12 + 5) + 32 × (10 − 5) =
Answer:
1. 332
2. 177
Step-by-step explanation:
list the first six nonzero multiples of 16? ANSWER IT!!!!
Answer:
2, 8
Step-by-step explanation:
Find the value of. -
[(-4) + (-8)] = [(-4)=2x2
(a) 3
(b)-3
(C) 4
(d) - 4
Answer:
d
Step-by-step explanation:
Help me guys ! Or girls I need help
Answer:
A)---(2,2)
B)---(-6,4)
C)---(-4,7)
D)---(2,4)
Answer:
A= (2,2) B= (-6,4) C= (-4,7) D= (2,4)
Step-by-step explanation:
