Answer:
3
Step-by-step explanation:
The Significant Figures are 1_6_3
Hope it helps! :)
Identify the axis of symmetry, vertex, and range for the quadratic function.
Pablo used a total of 5 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving? Write your ans
Canal Industries has provided the following information:
Net income, $260,000
Preferred shares issued, 6,200
Weighted average number of shares of common stock issued, 24,200
Cash dividends declared and paid on common stock, $32,000
Market price per share, $38
Weighted average number of treasury shares of common stock, 4,200
What is Canal's price/earnings ratio?
The Canal's price/earnings ratio is 2.92.
To calculate Canal's price/earnings ratio, we need to find the earnings per share (EPS) first. The EPS can be calculated by dividing the net income by the weighted average number of common shares outstanding.
The weighted average number of common shares outstanding can be calculated as follows:
Weighted average number of common shares outstanding = Total number of common shares - Weighted average number of treasury shares
Weighted average number of common shares outstanding = 24,200 - 4,200 = 20,000
EPS = Net income / Weighted average number of common shares outstanding
EPS = $260,000 / 20,000 = $13
Finally, the price/earnings ratio can be calculated by dividing the market price per share by the EPS:
Price/earnings ratio = Market price per share / EPS
Price/earnings ratio = $38 / $13 = 2.92
To know more about earnings per share visit :
https://brainly.com/question/28143339
#SPJ1
Customers arrive at a service facility according to a Poisson process of rate λ customers/hour. Let X(t) be the number of customers that have arrived up to time t. Let W1,W2,... be the successive arrival times of the customers.
(a) Determine the conditional mean E[W1|X(t)=2].
(b) Determine the conditional mean E[W3|X(t)=5].
(c) Determine the conditional probability density function for W2, given that X(t)=5.
Answer:
Step-by-step explanation:
Given that:
X(t) = be the number of customers that have arrived up to time t.
\(W_1,W_2\)... = the successive arrival times of the customers.
(a)
Then; we can Determine the conditional mean E[W1|X(t)=2] as follows;
\(E(W_!|X(t)=2) = \int\limits^t_0 {X} ( \dfrac{d}{dx}P(X(s) \geq 1 |X(t) =2))\)
\(= 1- P (X(s) \leq 0|X(t) = 2) \\ \\ = 1 - \dfrac{P(X(s) \leq 0 , X(t) =2) }{P(X(t) =2)}\)
\(= 1 - \dfrac{P(X(s) \leq 0 , 1 \leq X(t)) - X(s) \leq 5 ) }{P(X(t) = 2)}\)
\(= 1 - \dfrac{P(X(s) \leq 0 ,P((3 \eq X(t)) - X(s) \leq 5 ) }{P(X(t) = 2)}\)
Now \(P(X(s) \leq 0) = P(X(s) = 0)\)
(b) We can Determine the conditional mean E[W3|X(t)=5] as follows;
\(E(W_1|X(t) =2 ) = \int\limits^t_0 X (\dfrac{d}{dx}P(X(s) \geq 3 |X(t) =5 )) \\ \\ = 1- P (X(s) \leq 2 | X (t) = 5 ) \\ \\ = 1 - \dfrac{P (X(s) \leq 2, X(t) = 5 }{P(X(t) = 5)} \\ \\ = 1 - \dfrac{P (X(s) \LEQ 2, 3 (t) - X(s) \leq 5 )}{P(X(t) = 2)}\)
Now; \(P (X(s) \leq 2 ) = P(X(s) = 0 ) + P(X(s) = 1) + P(X(s) = 2)\)
(c) Determine the conditional probability density function for W2, given that X(t)=5.
So ; the conditional probability density function of \(W_2\) given that X(t)=5 is:
\(f_{W_2|X(t)=5}}= (W_2|X(t) = 5) \\ \\ =\dfrac{d}{ds}P(W_2 \leq s | X(t) =5 ) \\ \\ = \dfrac{d}{ds}P(X(s) \geq 2 | X(t) = 5)\)
Charges for advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is a percentage of the population of 110 million TV households. The CBS television show 60 Minutes recently had a rating of 7.8, indicating that 7.8% of the households were tuned to that show. An advertiser conducts an independent survey of 100 households and finds that at least b+1 were tuned to 60 Minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting at least 5+1 tuned to
60 Minutes.
The probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes is only 0.02%.
How to calculate the probabilityP(X <= 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
P(X = k) = (100 choose k) * 0.078^k * (1 - 0.078)^(100-k)
P(X <= 4) = (100 choose 0) * 0.078^0 * (1 - 0.078)^(100-0) + (100 choose 1) * 0.078^1 * (1 - 0.078)^(100-1) + (100 choose 2) * 0.078^2 * (1 - 0.078)^(100-2) + (100 choose 3) * 0.078^3 * (1 - 0.078)^(100-3) + (100 choose 4) * 0.078^4 * (1 - 0.078)^(100-4)
Using a calculator or software, we can find that:
P(X <= 4) = 0.000203
This means that the probability is 0.02%.
Learn more about probability on
https://brainly.com/question/24756209
#SPJ1
Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high?
a) calculer: f(1,5); f(2,5); f(2)
Answer:
Step-by-step explanation:
you should give the function, if i haven't it, how can i help you.
i can give u some tips, put 1.5, 2.5, 2 in function respectively. then calculate them, u will get the answer.
The interior angles of a polygon are in A.P. If the smallest angle is 100 o
and the common difference is 4 o
, find the number of sides ?
The polygon has 21 sides whose interior angle are in Arithmetic Progression (A.P.)
The interior angles of a polygon are in an arithmetic progression (A.P) if the difference between any two consecutive angles is constant. To find the number of sides in a polygon given its smallest angle and the common difference of its interior angles, we can use the formula:
n = (180° - smallest angle) / common difference + 1, where n is the number of sides in the polygon.
In this case, the smallest angle is 100° and the common difference is 4°, so the number of sides can be calculated as follows:
n = (180° - 100°) / 4° + 1 = (80°) / 4° + 1 = 20 + 1 = 21.
Therefore, the polygon has 21 sides. It is important to note that a polygon with 21 sides is called an icosikaihenagon, which is a highly unusual and exotic shape, as most polygons have a smaller number of sides.
Learn more about polygon :
https://brainly.com/question/24464711
#SPJ4
Pls help!!!
– x² + 2x - 3y²
when x
=
-4 and y
=
-2
Answer:
-36
Step-by-step explanation:
Step 1: Define
-x² + 2x - 3y²
x = -4
y = -2
Step 2: Substitute and evaluate
-(-4)² + 2(-4) - 3(-2)²
-16 - 8 - 3(4)
-24 - 12
-36
1 and 22 are a linear pair, 2 and 3 are a linear pair, and 2 and 4 are vertical angles Which of the following statements is not true?
a. 1=3
b. 2 = 3
C. m 1 + m 4 = 180
d. m 2 + m 3 = 180
Answer:
<1 = <3
m<1 + m<4 = 180
m 2 + m 3 = 180
Step-by-step explanation:
If <1 and <2 are linear pair, hence <1 + <2 = 180
If <2 and <3 are linear pair, hence <2 + <3 = 180
Since <1, <2 and <3 are linear pair, hence <1 and <3 vertically opposite
<1 and <4 will also be a linear pair since they will lie on the same straight line. Since the sum of angle on a straight line is 180, hence <1 + <4 = 180degrees
The correct options are
<1 = <3
m<1 + m<4 = 180
m 2 + m 3 = 180
find the non permissible replacement for (x ^ 2 + 1)/(2x + 10)
Reason:
We cannot divide by zero. This means the denominator cannot equal zero. If it was zero, then,
2x+10 = 0
2x = -10
x = -10/2
x = -5
Follow that chain in reverse to see that x = -5 causes the denominator 2x+10 to be zero. This is why we kick -5 out of the domain. Any other x value is valid.
Which is more effective, the Pythagorean Theorem or The Six Trigonometric
Ratios?
Both methods of solving for lengths of a right triangle are effective. That being said, the Pythagorean theorem is well-known and only requires a student to know one equation (as well as where the legs/hypotenuse should be plugged in). The six trigonometric ratios are also helpful, and over time are something that students begin to recognize when looking at right triangles.
I believe that the Pythagorean theorem is more effective because of its simplicity and wide application. The six trigonometric ratios will not apply to every right triangle, and require more memorization.
Hope this helps!
31 MULTIPLE CHOICE which of the following is not possible geometry
Answer:
? where are the questions i will edit when answer arrive.
Step-by-step explanation:
Evaluate the function when X=3 , X=0 , and x=-2.
Answer:
12)f(x)=2x-6
=》f(3)=2(3)-6
=》6-6=0
f(×)=2x-6
f(0)=-6
=》f(-2)=2(-2)-6
=》-4-6
=-10
13)h(3)=6(3)+2
=》18+2
=20
h(0)=0+2
=2
h(-2)=6(-2)+2
=》-12+2
=-10
C. Determine if the statement suggests undefined term, defined term, axlom/postulate, theorem.
_____1.Money can't buy happiness.
_____2. Things that coincide with one another are equal to one another.
_____3. Collinear points are points on the same line.
_____4. The sum of the measures of the 3 interior angles of a triangle is 180°.
_____5. Margie supports her answer with a statement that includes ideas about planes. _____6. O is a natural number.
_____7. In his two-column proof, he was able to prove that the statement is true.
_____8. Margie uses the GPS of her android phone to locate Gaisano Capital Danao while on her way there. The GPS shows a red dot. to represent the location of Gaisano Capital Danao. _____9. If two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent.
_____10. A triangle is a 3-sided plane figure whose sides are formed by 3 line segments.
The statement suggests undefined term, defined term, axlom/postulate, theorem are given below.
What are postulates?Postulates are ideas suggested or accepted as a basic principle before a further idea is formed or developed from it.
Undefined Terms refers to those terms which usually do not require any formal definition.
1. Money can't buy happiness. undefined term
2. Things that coincide with one another are equal to one another. Postulates
3. Collinear points are points on the same line. Postulates
4. The sum of the measures of the 3 interior angles of a triangle is 180°. theorem
5. Margie supports her answer with a statement that includes ideas about planes. undefined term
6. O is a natural number. defined term
7. In his two-column proof, he was able to prove that the statement is true. defined term
8. Margie uses the GPS of her android phone to locate Gaisano Capital Danao while on her way there. The GPS shows a red dot. to represent the location of Gaisano Capital Danao. undefined term
9. If two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent. postulate
10. A triangle is a 3-sided plane figure whose sides are formed by 3 line segments. postulate
Learn more about Undefined Terms here:-
brainly.com/question/10969140
#SPJ1
help now plz just help plzzz
Answer:
there is no problem
Step-by-step explanation:
sorry
Find the missing side of this right
triangle.
12
x
8
Answer:
The missing side is 14.4
x=14.4
Answer:
80Step-by-step explanation:
Is 1, 15/3, 17/, a Pythagorean triple? Explain.
8 = 1/13v solve this and pretty please show some simple steps
Please help me thank you : )
The American Population is living longer. Along with the longevity of life comes additional challenges with both medical and Psychiatric problems. Your patient is about to be discharged from a short-tern rehab center. You overhear the daughter confiding in the nursing student that she cannot handle her mother and will be looking for a Memory care unit to put her mother in. You also hear the student nurse who was raised in a foreign country state, " I would NEVER put my mother in a home. I would take care of her woth my two sisters junti she dies.
what considerations might you make withthis students. Address the cultural differneces in elder care and adress the conself od "Role Strain" in caring for special populations.
Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.
What is the cultural Strain?Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.
Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.
Learn more about Role Strain from
https://brainly.com/question/14283116
#SPJ1
Simplify (2x-3)(5x squared-2x+7)
To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.
First, multiply 2x by each term inside the second parentheses:
2x * 5x^2 = 10x^3
2x * -2x = -4x^2
2x * 7 = 14x
Next, multiply -3 by each term inside the second parentheses:
-3 * 5x^2 = -15x^2
-3 * -2x = 6x
-3 * 7 = -21
Combine all the resulting terms:
10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21
Now, combine like terms:
10x^3 - 19x^2 + 20x - 21
So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.
For such more question on parentheses
https://brainly.com/question/172904
#SPJ8
Assume that a simple random sample has been selected and test the given claim. Use the P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. The ages of actresses when they won an acting award is summarized by the statistics n=77, x=35.4 years, and s=11.7 years.
Use a 0.05 significance level to test the claim that the mean age of actresses when they win an acting award is 33 years.
a. What are the hypotheses?
b. Identify the test statistic.
c. Identify the P-value.
d. State the final conclusion that addresses the original claim.
A. Fail to reject H0. There is insufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.
B. Reject H0. There is insufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.
C. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.
D. Reject H0. There is sufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.
Answer:
a. H0: u ≠33 against Ha : u= 33
b. Z= x`- u / s/ √n, z= 1.85
c. The P-Value is 0.071075.
The result is not significant at p < .05.
d. Option A is correct.
A. Fail to reject H0. There is insufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.
Step-by-step explanation:
Part a:
The null and alternate hypotheses are
H0: u ≠33 That is the mean age of actresses when they win an acting award is not equal to 33 years.
against the claim
Ha : u= 33 That is the mean age of actresses when they win an acting award is 33 years.
The central limit theorem allows us to assume that the sampling distribution of x` is approximately normal with the mean u and a standard deviation S/ √n.
Part b.
The test statistic would be
Z= x`- u / s/ √n
So we have
n= 77 , x= 35.4, s= 11.7
Z= 35.4- 33/ 11.7/√77
z= 2.4/1.333
z= 1.805
Now z α/2 = ± 1.96 for two tailed test.
Part d.
The rejection region will be
z< - z ∝/2 and z > z ∝/2
1.805 < 1.96
Since the calculated value of z lies in the rejection region we fail to reject H0 and conclude there is insufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.
Part c.
The p- value is the probabilities between which the value of test statistic lies.
Using the calculator
The P-Value is 0.071075.
The result is not significant at p < .05
Question 10 (1 point)
A
33
7 in.
B
C
The value of AB is,
⇒ AB = 5.9
(rounded to nearest tenth)
We have to given that,
A right triangle ABC is shown.
Now, By trigonometry formula,
we get;
⇒ cos 33° = Base / Hypotenuse
Substitute all the values, we get;
⇒ cos 33° = AB / 7
⇒ 0.84 = AB / 7
⇒ AB = 0.84 × 7
⇒ AB = 5.88
⇒ AB = 5.9
(rounded to nearest tenth)
Thus, We get;
AB = 5.9
(rounded to nearest tenth)
Learn more about trigonometric ratios at:
brainly.com/question/1836193
#SPJ1
please help with this
Please help asap. i am very confused
Statement (A) is true, Statement (B) is false, Statement (C) is true, Statement (D) is true and Statement (E) is false.
The given information is that P(odd) = 1/3
where odd numbers are 3 and 5, and there are two odd-numbered sections out of six equal sections.
(A) The probability of landing on an odd-numbered section is not exactly 33.33%, but approximately equal to 33.33% or 1/3.
So, statement (A) is true.
(B) The probability of landing on an even-numbered section is not exactly 66.67%, but approximately equal to 66.67% or 2/3.
So, statement (B) is false.
(C) The probability of landing on an odd-numbered section is given as 1/3, which is less than the probability of landing on an even-numbered section, which is 2/3. Therefore, statement (C) is true.
(D) It is given that one of the sections is numbered 6. So, it is not impossible to land on 6. Therefore, statement (D) is false.
(E) To determine if the spinner is fair, we need to know the probability of each outcome, which is not provided in the given information. Therefore, we cannot determine if the spinner is fair or not based on the information given. So, statement (E) is uncertain.
Therefore, the true statements about this game are (A), (C), and (D).
Learn more about probability :
https://brainly.com/question/30034780
#SPJ1
Explain the meaning of the term floor plan in this context
floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above
THIS PIC WILL ALSO HELP U
expand 2 ( x+3 ) = x - 4
Step-by-step explanation:
step 1
distribute
2(x+3)=x-4
2x+6=x-4
subtract 6 from both sides
2x+6 = x - 4
2x+6-6=x-4-6
simplify the expression
2x+6-6=x-4-6
2x=x-10
Solve the system.
x – y + z = 14
y +z = 15
z = 7
=
Enter your answer as an ordered triple.
([ ? ],[],[])
Answer:
(15, 8, 7 )
Step-by-step explanation:
x - y + z = 14 → (1)
y + z = 15 → (2)
z = 7 ← value of z is given
Substitute z = 7 into (2)
y + 7 = 15 ( subtract 7 from both sides )
y = 8
Substitute y = 8, z = 7 into (1)
x - 8 + 7 = 14
x - 1 = 14 ( add 1 to both sides )
x = 15
solution is (15, 8, 7 )
Listed below is a table showing the number of employees. 20 years or older by gender in the United states
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
Find out more on unemployment at https://brainly.com/question/13280244
#SPJ1
The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
can someone help me with this?
Answer:
give more information
Step-by-step explanation:
sorry