Answers
Step-by-step explanation:
=> x + 80 + 20 = 180
=> x + 100 = 180
=> x = 180 - 100
=> x = 80°
Answer:
C. 80
Step-by-step explanation:
Triangle= 180
80 + 20 + x =180
x = 80
Related Questions
A study conducted by a group of yoga professionals claim that introducing meditation activities in workplace can significantly increase the performance of the employees. After finding out about this study, the HR department of company ABC introduces similar activities in their office and encourages every employee to participate. At the end of one month the department is interested in checking the claims of the study. The department selects a random sample of employees and collects information on the number of hours they have spent meditating (X) and they score their performances based on their revenue contribution to the company (Yi). They estimate the following regression function:
^Y = 45.63 + 3.60X
where ^Y denotes the predicted value of the score obtained by the individual and X denotes the number of hours they spend meditating. The SE(^P1) is 1.01. The HR department wishes to test whether or not meditating increases the performance of their employees. Which of the following are the null and the alternative hypotheses of the test the department wishes to conduct?
A. H0: beta1 = 0 vs H1: beta1 is not equal to 0.
B. H0: beta1 = 0 vs H1: beta1 < 0.
C. H0: beta1 = 3.60 vs H1: beta is not equal to 3.60.
D. H0: beta1 = 0 vs H1: beta1 > 0.
A. The value of the t-statistic associated with the test the HR department wishes to conduct is____.
At the 5% significance level, the department would____the null hypothesis.
Answers
Answer:
D
T= 3.56
Reject
Step-by-step explanation:
The estimated equation of an employee's commitment to the business (Y) based on the amount of hours they spend meditating (X) is:
[tex]\hat Y = 45.63 + 3.60 *X[/tex]
Also;
[tex]\hat \beta_1[/tex] the coefficient of X from the equation Y on X = 3.60
Standard error S.E [tex]\hat \beta_1[/tex] = 1.01
The null & alternative hypothesis:
[tex]H_o : \beta_1 = 0 \\ \\ H_1 : \beta > 0[/tex]
Test statistics:
[tex]T = \dfrac{\hat \beta _1}{S.E (\hat \beta _1)}[/tex]
[tex]T = \dfrac{3.60}{1.01}[/tex]
T = 3.56
Value of T-statistics = 3.56
P-value = P(t > T)
here;
t = standard t variable with a degree of freedom = 100 - 1 = 99
∴
P value = P(t > 3.56)
P value = 1 - P(t < 3.56)
P value = 1 - 0.9997
P value = 0.0003
Since p-value is less than ∝ at 0.05
We reject the [tex]H_o[/tex] (null hypothesis)
Emma buys two bus tickets to Bradford. She pays with a £10 note. How much change will she get?
Answers
Hello there I hop you are having a good day :)
So, if she brought 2 tickets an they cost £4.00 you would add £4.00 + £4.00 = £8.00 and then you would take that away from the £10.00 - £8.00 = £2.00 so Emma would get £2.00 change :) hopefully that helps you.
solve the given system of equations 2x + 8y= 5 and 24x - 4y = -15
Answers
9514 1404 393
Answer:
(x, y) = (-1/2, 3/4)
Step-by-step explanation:
A graphing calculator does a nice job of finding the solution.
(x, y) = (-1/2, 3/4)
__
You can eliminate y by adding twice the second equation to the first.
(2x +8y) +2(24x -4y) = (5) +2(-15)
50x = -25
x = -1/2 . . . . . . divide by 50
__
24(-1/2) -4y = -15 . . . . .substitute for x in the second equation
-4y = -3 . . . . . . . . . add 12
y = 3/4 . . . . . . . . . divide by the coefficient of y
The solution is (x, y) = (-1/2, 3/4).
Find the area of the shaded region 29.8, 28, 13
Answers
The solution is, The area of the shaded region is 112cm^2.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
First find the area of the rectangle
A = l*w
= 9*16
= 144
The unshaded area is a trapezoid
A = 1/2 ( b1+b2) *h
= 1/2 ( 5+11) * 4
= 1/2 (16) * 4
=32
The area of the shaded region is
rectangle - trapezoid
144-32
112cm^2
Hence, The solution is, The area of the shaded region is 112cm^2.
To learn more on Area click:
brainly.com/question/20693059
#SPJ3
(2/7×8/4)+2/3÷(2/6×3/6+1/6)
Answers
Answer:
Answer attached
Step-by-step explanation:
to solve an equation with a variable which of the following are done? the value of the variable should be guest first inverse operation are used the variable needs to be isolated addition is always used select all that apply.
Answers
9514 1404 393
Answer:
inverse operation are used the variable needs to be isolatedStep-by-step explanation:
A solution is always of the form ...
variable = something
In order to get this form, the variable needs to be isolated (put by itself on one side of the equal sign).
In general, isolating the variable involves using inverse operations to "undo" whatever is done to the variable. These are generally applied in the reverse order of the operations that are done to the variable. The list of operations done and their order can be identified using the Order of Operations to consider how an equation would be evaluated for some value of the variable.
A company rents storage sheds shaped like rectangular prisms. Each shed is 13 feet long and 6 feet wide and 12 feet tall the rental cost is 4$ per cubic foot how much does it cost to rent one shed
Answers
Answer:
It costs $3,744 to rent one shed.
Step-by-step explanation:
Given that a company rents storage sheds shaped like rectangular prisms, and each shed is 13 feet long and 6 feet wide and 12 feet tall, and the rental cost is 4 $ per cubic foot, to determine how much does it cost to rent one shed The following calculation must be carried out, knowing that the volume of a rectangular prism is obtained by multiplying its length by its width and its height:
(13 x 6 x 12) x 4 = X
(78 x 12) x 4 = X
936 x 4 = X
3.744 = X
Therefore, it costs $ 3,744 to rent one shed.
PLssssssssssssss help..
Answers
Answer:
141.4
Step-by-step explanation:
i think
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Write the quadratic equation in factored form. Be sure to write the entire equation.
x2 - 5x - 24 = 0
Answers
Answer:
2x-5x-24=0
-3x-24=0
-3x=24
x=24/-3
x=-8
Answer:
x=x2-24/5
2 −24
Step-by-step explanation:
x2−5x−24=0
Add 5x to both sides. Anything plus zero gives itself.
x
2
−24=5x
Add 24 to both sides.
x
2
=5x+24
Solve the following equation. log(3x)=log(2x-4) *
Answers
log(3x) = log(2x-4)
taking antilog of both sides:
3x = 2x - 4
3x - 2x = -4 [subtracting 2x from both sides]
x = -4
and we're done already!
These cones are similar. Find the surface
area of the smaller cone. Round to the
nearest tenth.
2 cm
3 cm
Surface Area = [ ? ) cm2 Surface Area = 75 cm2
Helppppp plssss
Answers
Answer:
33.3 cm²
Step-by-step explanation:
Recall: Area Scale Factor = (Linear Scale Factor)²
Area scale factor = surface area of bigger cone/surface area of smaller cone
Let the surface area of the smaller cone be represented as x
Therefore,
Area scale factor = 75/x
Linear scale factor = radius of bigger cone/radius of smaller cone = 3/2
Thus:
75/x = (3/2)²
75/x = 9/4
Cross multiply
x*9 = 75*4
9x = 300
Divide both sides by 9
x = 300/9
x = 33.3 cm² (nearest tenth)
Natalie paid $20.7 for 3 small pizzas and a salad which was $3.
Write an equation to represent the situation
Solve the equation to find the cost of one pizza. Show your work
Answers
Answer: x=5.9
Equation: 20.7= 3x+3
Step-by-step explanation:
20.7=3x+3
-3 -3
——————
17.7= 3x
————-
3
5.9= X
Was that ok? :) ur a smart kid so I’m sure you’ll figure this out but if u do have questions just put it in the comments :)
find the area of this triangle please help me!❤
Answers
Answer: 42 mm^2
Step-by-step explanation:
A=bh/2
b=7, h=12
7*12=84, 84/2=42
Answer:
area of the triangle
[tex]( \frac{1}{2} \times 12 \times 7 )\\ 42 {mm}^{2} [/tex]
Five times the sum of 4 and some number is 40.
Answers
Answer:
5 × 4 = 20 not 40
Step-by-step explanation:
graph your linear equation. y=x÷3
Answers
(correct me if wrong)
Helppp PLEASEEEE!!!!!! !!!
Answers
Answer:
-3hf
Step-by-step explanation:
Use the information for the question below.
Project A Project B Time 0 -$10,000 -$10,000 Time 1 $5,000 $4,000 Time 2 $4,000 $3,000 Time 3 $3,000 $10,000
If WiseGuy Inc. uses payback period rule to choose projects, which of the projects (Project A or Project B) will WiseGuy Inc. prefer?
a. Project A and Project B have the same ranking,
b. Project A
c. Cannot calculate a payback period without a discount rate.
d. Project B
Answers
Answer:
The correct option is d. Project B.
Step-by-step explanation:
Note: See the attached excel file for the calculation of the Cumulative Cash Flows of Projects A and B.
Payback period refers to the number of time or period that is needed to recoup the amount of money spent a project. The
payback period rule states that when considering two or more projects, a project with the shortest payback period should be selected.
Payback period can be calculated as follows:
Payback period = Time before full recovery + (Unrecovered cost at start of the time of full recovery / Cash flow during the time of full recovery) ………………. (1)
Using the information in the excel file (in red color), equation (1) can be calculated for Project A and Project B as follows:
Project A payback period = 2 + ($1,000 / $3,000) = 2.33
Project B payback period = 2 + ($3,000 / $10,000) = 2.30
Since the payback period of Project B payback period which is 2.30 is lower than the Project A payback period of 2.33, Project B should be selected.
Therefore, the correct option is d. Project B.
Tessellations
Determine whether the following regular polygon tessellates the plane.
Decagon
a. Yes; measure or interior angle = 144
b. no; measure of interior angle = 144
c. yes: measure of interior angle = 36
d. no; measure of interior angle = 36
Please select the best answer from the choices provided
Answers
Answer:
B. No; measure of interior angle = 144
Step-by-step explanation:
I calculated it logically
guys help meeee im timed
Answers
Find the volume of a sphere with a diameter of 6 feet. Round your answer to 2 decimal places. [Use pi = 3.14
Answers
6/2= 3 (radius.)
V = 4/3(pi)(3^3) = 113.0973355
Find y.
please help if you can
Answers
Answer:
90°
Step-by-step explanation:
this is a right angled triangle, and to that effect, a right angle triangle is on 90°
therefore y is 90°
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two yellow
marbles if the first one is NOT placed back into
the bag before the second draw?
Give your answer as a rational number, reduced to
simplest terms.
1
[ ?
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Answers
Answer: 1/45
Step-by-step explanation:
A multiple choice test contains questions
with four options each: A, B, C, or D. If
Natalie randomly guesses on the last three
questions, what is the probability that she
gets all three correct?
Answers
Answer:
Probability of getting all three correct answer = [tex]\frac{1}{64}[/tex]
Step-by-step explanation:
Given - A multiple choice test contains questions with four options each: A, B, C, or D. If Natalie randomly guesses on the last three questions.
To find - what is the probability that she gets all three correct.
Proof -
Given that, question has 4 options.
And 1 option can be correct,
Let
x be that Natalie gives correct answer.
So,
Probability of getting, correct answer, P(x) = [tex]\frac{1}{4}[/tex]
So,
Probability of getting, incorrect answer, P(x') = 1 - [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{4}[/tex]
Now,
Given that, she guess the 3 questions.
All correct means,
first, second, third question answer is correct.
So,
Probability of getting all three correct answer = [tex]\frac{1}{4}[/tex]×[tex]\frac{1}{4}[/tex]×[tex]\frac{1}{4}[/tex] = [tex]\frac{1}{64}[/tex]
An average of 40 cars per hour arrive to be painted at a single-server GM painting facility. 95% of the cars require 1 minute to paint; 5% must be painted twice and require 2.5 minutes to paint. Assume that interarrival times are exponential.
a. On the average, how long does a car wait before being painted?
b. If cars never had to be repainted, how would your answer to part (a) change?
Answers
Answer:
2.719 minutes
Step-by-step explanation:
Step 1 :
We have to consider using the M/G/I /GD /∞/∞ Queuing system with the rate of arrival λ and the rate of service μ.
Since average of 40 cars arrive every hour at the painting facility, it follows that:
Arrival rate λ = 40cars /hour
= 40/60 cars/hour
=2/3 cars/hour
More, we were told that 95% of the cars require 1 minute to paint, 5% must be painted twice and require 2.5 minutes to paint, therefore, the average time to paint a car is given by
95/100x1 + 5/100 x 2.5 = 19/20 + 1/8 = 43/40min
It follows that:
Service rates μ = 40/43cars/min
Please answer number 5 I’ll give brainliest thanks
Answers
Answer:
Hello! answer: C
Hope that helps!
Answer:
b
Step-by-step explanation:
Experimental - 5 choices, 1 is Q = 1/5
Theoretical - 5 choices, landed on Q 4 times =4/5
Which equation is true when x =
1
2
?
A.
6
÷
x
=
3
B.
8
x
=
16
C.
x + 2 = 1
D.
10
÷
x
=
20
Answers
Answer:
Step-by-step explanation:
NO ONE IS TRUE
6/12=2NOT 3
8*12=96NOT16
12+2=14 NOT 1
10/12=1.2 NOT 20
help please with no link
Answers
Answer: 72yd^2
Step-by-step explanation:
Answer:
72 is the answer
Step-by-step explanation:
it is a kite shape so
formula is
1/2 (d1 +d2)
choose the correct symbol to compare the fraction 8/10 and 4/5
Answers
Answer:
[tex]\frac{8}{10} =\frac{4}{5}[/tex]
Step-by-step explanation:
Both the numerator and denominator of the fraction [tex]\frac{8}{10}[/tex] share a common factor of 2, so you can divide the fraction by [tex]\frac{2}{2}[/tex](1). This leaves you with:
[tex]\frac{8}{10}[/tex] ÷ [tex]\frac{2}{2}[/tex] = [tex]\frac{4}{5}[/tex]
This means that the fraction [tex]\frac{8}{10} =\frac{4}{5}[/tex].
does the following data show direct variation.
Answers
Robert spun the fair spinner shown below 1,060 times,
About how many times would Robert expect to spin a 1, 3, or 8?
Answers
Answer:
About 400 times
Step-by-step explanation:
Given
[tex]n = 1060[/tex]
See attachment for spinner
Required
Determine the number of times an outcome of 1, 3 or 8 is expected
First, calculate the theoretical probability of 1, 3, or 8
This is calculated as:
[tex]Pr = P(1) + P(3) + P(8)[/tex]
The spinner is divided into 8 equal segments and each outcome appears once.
So, we have:
[tex]Pr = \frac{1}{8}+\frac{1}{8}+\frac{1}{8}[/tex]
Take LCM and add
[tex]Pr = \frac{1+1+1}{8}[/tex]
[tex]Pr = \frac{3}{8}[/tex]
So, the expected number of times (E) is:
[tex]E = Pr * n[/tex]
[tex]E = \frac{3}{8} * 1060[/tex]
[tex]E = \frac{3* 1060}{8}[/tex]
[tex]E = \frac{3180}{8}[/tex]
[tex]E = 397.5[/tex]
Approximate
[tex]E = 398[/tex]
This means about 400 times