Step-by-step explanation:
Here,
the given polynomials are;
(x^2+5x+2)-(5x^2-x-2)
now, when we open bracket of second polynomial we get,
=x^2+5x+2-5x^2+x+2
combining like terms and simplifying them we get;
=x^2-5x^2+5x+x+2+2
=-3x^2+6x+4.
Therefore, the answer is-3x^2+6x+4 or, taking - (minus) commo it will be -(3x2-6x-4).
Hope it helps....
The Cambridge Power and Light Company selected a random sample of 20 residential customers. Following are the amounts, to the nearest dollar, the customers were charged for electrical service last month:
53 49 54 50 21 46 75 45 63 76 61 63 36 34 54 63 37 62 66 62
(a) Compute the arithmetic mean.(Round your answer to 2 decimal places. Omit the "$" sign in your response.)
The mean is $
(b) Indicate whether it is a statistic or a parameter.
Answer:
a) the mean is $53.50
b) it is a statistic
Step-by-step explanation:
mean = ∑fx/∑f
∑f = 20
mean = (sum of the terms) ÷ (number of terms)
mean = (53+49+54+50+21+46+75+45+63+76+61+63+36+34+54+63+37+62+66+62) ÷ 20 = 1070/20
=$53.50
b) it is statistics because it is a random sample of 20 residential customers not the actual population
Mark is solving the following systems Step 1: He multiplies equation (1) by 7 and adds it to equation (3). Step 2: He multiplies equation (3) by 2 and adds it to equation (2). Which statement explains Mark’s mistake? He added equation (3) instead of equation (2) in step 1. He did not multiply equation (3) by the same number as equation (1). He did not eliminate the same variables in steps 1 and 2. He added equation the equations in step instead of subtracting them.
Answer:
Solving the system of linear equations Mark tries to apply elementary transformations in order to eliminate one variable.
He makes such steps:
1. He multiplies equation (1) x+y+z=2 by 7 and adds it to equation (3) 4x-y-7z=16. This gives him:
7x+7y+7x+4x-y-7z=14+16,
11x+6y=30.
2. He multiplies equation (3) 4x-y-7z=16 by 2 and adds it to equation (2) 3x+2y+z=8. This step gives him:
8x-2y-14z+3x+2y+z=32+8,
11x-13z=40.
Thus, he did not eliminate the same variables in steps 1 and 2.
Answer: correct choice is he did not eliminate the same variables in steps 1 and 2.
Hope this helps you :)! If you would mark me brainliest, that would be awesome!
Answer:
correct answer is c
Step-by-step explanation:
edge 2020
Given: FGKL is a trapezoid, m∠F=90°, m∠K=120°, FK=LK=a Find: The length of midsegment.
Answer:
(3/4)a
Step-by-step explanation:
The angle at K is 120°, so the angle at L is its supplement: 60°. That makes triangle FKL an equilateral triangle with a base of FL = a. The vertex at K is centered over the base, so is a/2 from G.
The midsegement length is the average of GK and FL, so is ...
midsegment = (GK +FL)/2 = (a/2 +a)/2
midsegment = (3/4)a
A personnel director interviewing 12 senior engineers for five job openings has scheduled seven interviews for the first day and five for the second day of interviewing. Assume that the candidates are interviewed in a random order.
(a) What is the probability that x of the top four candidates are interviewed on the first day?
h(N; 5, 5, 12)
h(x; 5, 12, 5)
h(N; 7, 12, 5)
h(x; 7, 5, 12)
(b) How many of the top four candidates can be expected to be interviewed on the first day? (Round your answer to two decimal places.)
Answer:
a) h(x; 7, 5, 12) = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)
b) 2.92
Step-by-step explanation:
a)
Here
Number of interviewees = N = 12
Number of job openings = M = 5
Interviews schedules for the first day = n = 7
N − M = 12 - 5 = 7
Using hypergeometric distribution:
Let X be the no. top four candidates interviewed on first day.
The probability mass function of X:
P(X = x) = [tex](^{M} C_{x})[/tex] [tex](^{N-M} C_{n-x})[/tex] / [tex](^{N} C_{n})[/tex]
It can be written as:
h(x; n, M, N) = [tex](^{M} C_{x})[/tex] [tex](^{N-M} C_{n-x})[/tex] / [tex](^{N} C_{n})[/tex]
= (5Cx) (7C7-x) / (12C7)
= (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)
h(x; 7, 5, 12) = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)
b)
The expectation is: E(X) = np
E(X) = n * M/N
= 7 * 5/12
= 7 * 0.41667
= 2.9167
What is the greatest prime you must consider to test whether 7066 is prime?
Answer:
Step-by-step explanation:
The square root of 7066 is 84.0595....
Therefore the largest number we must test is 84, seeing as now we have proven we do not need to test any numbers greater than 84.0595...
That means, we only need to test prime numbers smaller than 84 to see if they go into 7066.
84 isn't prime. But 83 is prime.
Therefore, the greatest prime that needs to be considered for divisibility is 83.
Answer:
The numbers 7066 is not prime .
But we easily know when a number is prime when we divide it by the first prime numbers; 2, 3, 5, 7, 11.
Step-by-step explanation:
It is known with certainty that a number is prime when it is only divisible by and by unity.
But in this case, that number, when divided by other numbers less than the one, shows that when dividing into the remainder, it gives zero, which means that it is not only divisible by itself or by the unit, but also by other numbers.
for example; 7066/2=3533 , the remainder is zero;
Help ASAP!!!
Identify the correct trigonometry formula to use to solve for x.
Answer:
The answer is option 2.
Step-by-step explanation:
You have to apply Cosine Rule, cosθ = adjacent/hypotenuse. Then, you have to substitute the values into the formula :
[tex]cos(θ) = \frac{adj.}{hypo.} [/tex]
[tex]let \: θ = 55[/tex]
[tex]let \: adj. = 11[/tex]
[tex]let \: hypo. = x[/tex]
[tex]cos(55) = \frac{11}{x} [/tex]
The correct trigonometry formula to use to solve for x is [tex]\frac{11}{x}[/tex] . Thus option 1 is correct.
According to the question, we have
base = 11
hypotenuse = x
here for [tex]cos Ф[/tex]Ф, it is not required to find the value of perpendicular,
we know that in a right-angle triangle using trigonometric ratio, we get
[tex]cos Ф[/tex] Ф = [tex]\frac{base }{hypotenuse}[/tex]
[tex]cos Ф[/tex] Ф = [tex]\frac{11}{x}[/tex]
here Ф = [tex]55 ^0[/tex]
[tex]cos 55^o = \frac{11}{x}[/tex]
Thus, the value of the trigonometry formula to use to solve for x is [tex]\frac{11}{x}[/tex].
Thus option 1 is correct.
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Use the given information to find the p-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). With Upper H1: p≠0.377, the test statistic is z=3.06.
a. 0.0022; fail to reject the null hypothesis
b. 0.0011; reject the null hypothesis
c. 0.0022; reject the null hypothesis
d. 0.0011; fail to reject the null hypothesis
Answer:
Option c: 0.0022; reject the null hypothesis
Step-by-step explanation:
Using a p value calculator, with a z score of 3.06 at 0.05 level of significance for a two tailed test, the p-value is 0.002213. This value is lower than 0.05 thus the result is significant we will reject the null hypothesis.
To calculate the p value by hand, we do this
The test statistic is 3.06. Since the test possesses a not equal to alternative, we look up the test statistic on the z table find the corresponding probability. Thus we have 3.06 - on the z table - 0.99889
Then we subtract from 1 and double it
1-0.99889 = 0.00111 x 2 = 0.0022.
what is the solution to the system of equations?
y = 4x-10
y=2
A) (3,2)
B) (2,3)
C) (-2,2)
D) (2,-2)
Answer:
A) (3, 2)
Step-by-step explanation:
y = 4x - 10
y = 2
Substitute y with 2 in the first equation and solve for x.
y = 4x - 10
2 = 4x - 10
12 = 4x
3 = x
Solution: x = 3, y = 2
Answer: A) (3, 2)
Starting from an airport, an airplane flies 210 miles southeast and then 210 miles south. How far, in miles, from the airport is the plane? (Round your answer to the nearest mile.)
Answer:
The plane is 388 miles far from the airport.
Step-by-step explanation:
We know that, the angle between southeast and south directions is [tex]135^\circ[/tex].
The plane travels as per the triangle as shown in the attached image.
A is the location of airport.
First it travels for 210 miles southeast from A to B and then 210 miles south from B to C.
[tex]\angle ABC = 135^\circ[/tex]
To find:
Side AC = ?
Solution:
As we can see, the [tex]\triangle ABC[/tex] is an isosceles triangle with sides AB = BC = 210 miles.
So, we can say that the angles opposite to the equal angles in a triangle are also equal. [tex]\angle A = \angle C[/tex]
And sum of all three angles of a triangle is equal to [tex]180^\circ[/tex].
[tex]\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow \angle A+135^\circ+\angle A = 180^\circ\\\Rightarrow \angle A = \dfrac{1}{2} \times 45^\circ\\\Rightarrow \angle A =22.5^\circ[/tex]
Now, we can use Sine Rule:
[tex]\dfrac{a}{sinA} = \dfrac{b}{sinB}[/tex]
a, b are the sides opposite to the angles [tex]\angle A and \angle B[/tex] respectively.
[tex]\dfrac{210}{sin22.5^\circ} = \dfrac{b}{sin135^\circ}\\\Rightarrow \dfrac{210}{sin22.5^\circ} = \dfrac{b}{cos45^\circ}\\\Rightarrow b = 210\times \dfrac{1}{\sqrt2 \times 0.3826}\\\Rightarrow b = 210\times \dfrac{1}{0.54}\\\Rightarrow b \approx 388\ miles[/tex]
So, the answer is:
The plane is 388 miles far from the airport.
Evaluate the expression.
Answer:
work is shown and pictured
In triangle ABC a=34 b=18 and c=17 Find m?A
Answer:
152.53°
Step-by-step explanation:
The Law of Cosines is useful for finding an angle when sides are given.
a^2 = b^2 +c^2 -2bc·cos(A)
A = arccos((b^2 +c^2 -a^2)/(2bc))
A = arccos((18^2 +17^2 -34^2)/(2(18)(17))) = arccos(-543/612)
A ≈ 152.53°
3. The area of a rectangular deck, in square meters, is given by the polynomial 40p2 + 24p.
The deck is 8p meters wide.
a) Find the polynomial that represents the length of the deck.
b) Find the polynomial that represents the perimeter of the deck.
Answer:
Length = 5p + 3
Perimeter = 26p + 6
Step-by-step explanation:
Given
Area = 40p² + 24p
Width = 8p
Solving for the length of deck
Given that the deck is rectangular in shape.
The area will be calculated as thus;
Area = Length * Width
Substitute 40p² + 24p and 8p for Area and Width respectively
The formula becomes
40p² + 24p = Length * 8p
Factorize both sides
p(40p + 24) = Length * 8 * p
Divide both sides by P
40p + 24 = Length * 8
Factorize both sides, again
8(5p + 3) = Length * 8
Multiply both sides by ⅛
⅛ * 8(5p + 3) = Length * 8 * ⅛
5p + 3 = Length
Length = 5p + 3
Solving for the perimeter of the deck
The perimeter of the deck is calculated as thus
Perimeter = 2(Length + Width)
Substitute 5p + 3 and 8p for Length and Width, respectively.
Perimeter = 2(5p + 3 + 8p)
Perimeter = 2(5p + 8p + 3)
Perimeter = 2(13p + 3)
Open bracket
Perimeter = 2 * 13p + 2 * 3
Perimeter = 26p + 6
Solve for qqq. 3\left(q+\dfrac43\right) = 23(q+ 3 4 )=2
pls answer this
Answer:
19/3Step-by-step explanation:
Given the expression [tex]3\left(q+\dfrac43\right) = 23[/tex], we are to find the value of q;
[tex]3\left(q+\dfrac43\right) = 23\\on\ expansion\\\\3q + 4/3(3) = 23\\\\3q+4 = 23\\\\subtract \ 4\ from \ both\ sides \ of \ the \ equation\\\\3q+4-4 = 23-4\\\\3q = 19\\\\Diviide \both\ sides \ by \ 3\\\\3q/3 = 19/3\\\\q = 19/3[/tex]
Hence the value of q is 19/3
Answer:
-2/3
Step-by-step explanation:
Don't worry about it, i got connections.
Which transformation is needed to be used on x^2, to get the graph of f(x) = 2x2 - 12x + 22?
Select one:
O a. Shift right by 3 units, stretch vertically by a factor 2 and then shift upward by 13 units
O b. Shift left by 3 units, stretch vertically by a factor 2 and then shift upward by 4 units
O c. Shift right by 3 units, stretch vertically by a factor 2 and then shift upward by 4 units
O d. Shift right by 3 units and shift upwards by 4 units
Please I need help
Answer: A
Step-by-step explanation:
The required transformation is Shift left by 3 units, stretch vertically by a factor 2 and then shift upward by 4 units. Hence option B is correct.
What is graph?The graph is a demonstration of curves which gives the relationship between x and y axis.
Since, both curve of x² and 2x² - 12x + 22 is in the graph.
Now, the steps of transformation of x² into 2x² - 12x + 22 is as follows.
1) Shift left by 3 units.
2) Stretch vertically by a factor 2.
3) Shift upward by 4 units
Thus, the required result will be seen graph.
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Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$, and $D$ are integers, $D$ is positive, and $B$ is not divisible by the square of any prime. If the greatest common divisor of $A$, $C$, and $D$ is 1, find $A+B+C+D$.
Answer:
[tex]A +B+C+D = 3[/tex] is the correct answer.
Step-by-step explanation:
Given:
[tex]$\frac{5}{2+\sqrt{6}}$[/tex]
To find:
[tex]A+B+C+D = ?[/tex] if given term is written as following:
[tex]$\frac{A\sqrt{B}+C}{D}$[/tex]
Solution:
We can see that the resulting expression does not contain anything under [tex]\sqrt[/tex] (square root) so we need to rationalize the denominator to remove the square root from denominator.
The rule to rationalize is:
Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.
Applying this rule to rationalize the given expression:
[tex]\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \ (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}[/tex]
Comparing the above expression with:
[tex]$\frac{A\sqrt{B}+C}{D}$[/tex]
A = 5, B = 6 (Not divisible by square of any prime)
C = -10
D = 2 (positive)
GCD of A, C and D is 1.
So, [tex]A +B+C+D = 5+6-10+2 = \bold3[/tex]
Most states categorize possession of cocaine charges by weight. Possessing less than a gram will result in the lowest level of felony. From there, the weight categories are broken into degrees. The higher the weight, the higher degree of felony charged. New York State uses the measures given in the table below to charge a suspect.Amount Charge
Over ⅛ oz. Class C felony
Over ½ oz. Class B felony
Over 2 oz. Class A-II felony
Over 4 oz. Class A-I felony
If a suspect is in possession of .06 kilograms of cocaine how many ounces does he possess? What will be the charge?
Answer:
Over 2 oz. Class A-II felony
Step-by-step explanation:
One would need to carefully weigh the material.*
0.06 kg ≈ 2.12 oz
Note that .06 kg is 1 significant figure, so this rounds to 2 oz (1 significant figure). Given the precision of the reported weight, there is insufficient precision to say the amount is actually over 2 oz.
__
If you take the numbers at face value, the suspect is in possession of over 2 oz, so will be charged with a Class A-II felony.
_____
* 2.00 ounces translates to about 0.0567 kg, which rounds to 0.06 kg.
Yesterday at 1:00 P.M., Maria’s train was 42 miles north of Gull’s Beach, traveling north at an average speed of 90 mph. At the same time on the adjacent track, Elena’s train was 6 miles north of Gull’s Beach, traveling north at an average speed of 101 mph. To the nearest hundredth of an hour, after how much time will the trains meet up? 0.23 hours 0.31 hours 3.27 hours 4.36 hours
Answer:b
Step-by-step explanation:
Answer:
3.27 hours
Step-by-step explanation:
Calculate the difference in speed and distance between the trains.
The relative speed:
101 - 90 = 11 mph
Difference in distance:
42 - 6 = 36 miles
[tex]time=\frac{distance}{speed}[/tex]
[tex]t=\frac{36}{11}[/tex]
[tex]t = 3.27[/tex]
Identify the CRITICAL VALUES(S) used in a hypothesis test of the following claim and sample data:
Claim: "The proportion of defective tablets manufactured in this factory is less than 6%."
A random sample of 500 tablets from this factory is selected, and it is found that 20 of them were defective. Test the claim at the 0.05 significance level.
a. -1.883
b. -1.645
c. -1.96
d. -0.102
Answer:
-1.96
Step-by-step explanation:
Significance level or alpha level is the probability of rejecting the null hypothesis when null hypothesis is true. It is considered as a probability of making a wrong decision. It is a statistical test which determines probability of type I error. If the obtained probability is equal of less than critical probability value then reject the null hypothesis. In this question the sample of 500 defective tablets is under test. 20 tablets found to be defective so the null hypothesis is accepted as less than 6% of tablets are defective.
17 women and 3 men attend a family reunion. What is the percentage of men with respect to the total number of parents?
1. 3%
2. 15%
3. 16%
4. 17%
Answer:
Not enough information. (15% Men at family reunion)
Step-by-step explanation:
The question ask what percentage of men with respect to the total number of parents, who attended the family reunion; however, there is no information given on which subset of these people are parents. Therefore we cannot determine the percentage of men with respect to the total number of parents.
If we assume that all attendees of the family reunion are parents, the we can simply write:
3/20 == .15 == 15%
So there are 15% men at the family reunion. Likewise for the women we can say:
17/20 == .85 == 85%
So there are 85% women at the family reunion.
Cheers.
Answer:
[tex]\boxed{15\ \%}[/tex]
Step-by-step explanation:
Total Parents = 17+3 = 20
Men among Parents = 3
%age of men:
=> [tex]\frac{3}{20} * 100[/tex]%
=> 3 * 5 %
=> 15 %
Simplify the expression.
16 • 4^-4
A. 256
B. -256
C. 1/16
D. -4,096
Answer:
C. 1/16
Step-by-step explanation:
[tex]16 * 4^{-4}[/tex]
16 can be written as a power of 4.
[tex]4^2 * 4^{-4}[/tex]
The bases are same, add exponents.
[tex]4^{2+-4}[/tex]
[tex]4^{-2}[/tex]
Simplify negative exponent.
[tex]\frac{1}{4^2 }[/tex]
[tex]\frac{1}{16}[/tex]
Marcia is a bag that contains four green marbles, eight yellow marbles, and 20 red marbles. If she chooses one marble from the bag, what is the probability that the marble is not red?
Answer:
3/8
Step-by-step explanation:
The bag contains 4 green marbles, 8 yellow marbles and 20 red marbles.
The total number of marbles is 32.
She chooses one from the bag.
The probability of the marble not being red is:
P(not red) = 1 - P(red)
P(not red) = 1 - (20 / 32) = 1 - 5/8
P(not red) = 3/8
The probability of it not being red is 3/8.
which is true about the solution to the system of inequalities shown?
A) y ≥ 1/3x + 3 AND 3x - y > 2
B) y ≥ 1/2x + 3 AND 3x - y > 2
C) y ≥ 1/3x + 3 AND 3x + y > 2
D) y ≥ 1/3x + 3 AND 2x - y > 2
Answer:
the solution to the system of inequality is C
What number is in between 10 and 16?
Answer:
13
Step-by-step explanation:
10 + 16 = 26
26 divided by 2 = 13
The middle number is 13
A six sided number cube is rolled twice. What is the probability that the first roll is an even number and the second roll is a number grater than 4?
Answer:
1/6
Step-by-step explanation:
The probability of even number is 1/2. The probability of number greater than 4 is 1/3, because only 5 and 6 are greater than 4.
Multiply these two values
1/2*1/3= 1/6
[tex]The sum of two numbers is57 and the difference is3 . What are the numbers?[/tex]
Answer:
The numbers are 27 and 30
Step-by-step explanation:
The two numbers are x and y
x+y = 57
x-y = 3
Add the two equations together to eliminate y
x+y = 57
x-y = 3
---------------
2x = 60
Divide by 2
2x/2 = 60/2
x = 30
x+y = 57
30 + y = 57
y = 57-30
y = 27
The numbers are 27 and 30
The sum of two numbers is 57, and the difference is 3.
Give each number a variable (as you do not know what they are): x , y
Set the equations:
"The sum of two numbers is 57": x + y = 57
"The(re) difference is 3": x - y = 3
Isolate one of the variables in the second equation. Add y to both sides:
x - y (+y) = 3 + y
x = 3 + y
Plug in "3 + y" for x in the first equation:
3 + y + y = 57
Simplify. First, combine like terms:
3 + (y + y) = 57
3 + 2y = 57
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS*.
*PEMDAS is the order of operation.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 3 from both sides:
2y + 3 = 57
2y + 3 (-3) = 57 (-3)
2y = 57 - 3
2y = 54
Next, divide 2 from both sides:
(2y)/2 = (54)/2
y = 54/2
y = 27
Plug in 27 for y in one of the equations:
x = 3 + y
x = 3 + (27)
x = 3 + 27
x = 30
x = 30 , y = 27 is your answer.
~
Check:
"The sum of two numbers is 57": x + y = 57
30 + 27 = 57
57 = 57 (True)
"The(re) difference is 3": x - y = 3
30 - 27 = 3
3 = 3 (True)
Which one doesn’t belong? Why? Explain.
Answer:
THE M ONE
Step-by-step explanation:
IT HAS A DIFFERENT VARIABLE
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
A rectangular prism has a length of 9 cm, a width of 5 cm, and its volume is 180 cubic centimeters. What is the height of the prism?
Answer:
Right rectangular prism
Solve for height
h=4cm
l Length
9
cm
w Width
5
cm
V Volume
180
cm³
Answer:
Step-by-step explanation:
volume of rectangular prism=l×w×h
9×5×h=180
h=4 cm
where h is the height of prism.
A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 8% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 4% during the current year. In addition, it estimates that 15% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.
a. What percentage of the employees will experience lost-time accidents in both years?
b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?
Answer:
a) percentage of the employees that will experience lost-time accidents in both years = 1.2%
b) percentage of the employees that will suffer at least one lost-time accident over the two-year period = 10.8%
Step-by-step explanation:
given
percentage of lost time accident last year
P(L) = 8% = 0.08 of the employees
percentage of lost time accident current year
P(C) = 4% = 0.04 of the employees
P(C/L) = 15% = 0.15
using the probability
P(L ∩ C) = P(C/L) × P(L)
= 0.08 × 0.15 = 0.012 = 1.2%
percentage of the employees will experience lost-time accidents in both years = 1.2%
b) Using the probability of the event
P(L ∪ C) = P(L) + P(C) - P(L ∩ C)
= 0.08 + 0.04 -0.012 = 0.108 = 10.8%
percentage of the employees will suffer at least one lost-time accident over the two-year period = 10.8%
Draw the straight line y = x + 2
Answer:
Graph is attached below
Step-by-step explanation:
You first need to plot any two points on the coordinate plane(you can also do more than two points to make it more accurate). Then, using a ruler connect the points and extend the line outwards.
The plotted straight line is as shown in below graph.
Given straight line equation is y = x + 2
To plot a straight line, take two different values of x which output different values of y. Then plot those points in the graph.
After plotting those two points, you connect both dots with straight line and extend that line infinitely from both endpoints.
Example, take x = 1 and x = 2 for straight line y = x + 2
Then we get:
For x = 1, y = 1 + 2 = 3
For x = 2, y = 2 + 2 = 4
The plot of points (1,3) and (2,4) and the straight line y = x + 2 is shown below.
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The test statistic of z=1.92 is obtained when testing the claim that p≠0.767. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.10, should we reject H0 or should we fail to reject H0?
Answer:
it is a two tailed test
The p - value for z=1.92 is 0.9726
Using a significance level of α=0.10, We fail to reject H0. The calculated z value lies out side the Zα value.
Step-by-step explanation:
For p≠0.767
Taking null hypothesis as p≠0.767 and alternate hypothesis as p =0.767
H0 :p≠0.767 Ha :p≠0.767 it is a two tailed test
The p - value for z=1.92 is 0.9726 from the table.
Using a significance level of α=0.10
z value for 0.10 for two tailed test is ± 1.645
Z >zα
1.92> ± 1.645
Using a significance level of α=0.10, We fail to reject H0. The calculated z value lies out side the Zα value.