Answers
Answer:
A) 29
Step-by-step explanation:
Step 1: Find angle G
Since Sin(θ) = Opposite over Hypotenuse:
[tex]sin^{-1} ( 58 / (52+52) )[/tex] = θ
θ = 33.896°
Now repeat for just the smaller triangle:
[tex]sin(33.896) = Opposite/Hypotenuse\\sin(33.896) = Opposite/52\\Opposite = sin(33.896) * 52\\Opposite = 29[/tex]
Related Questions
According to the National Institute for Occupational Safety and Health, job stress poses a major threat to the health of workers. A news report claims that 75% of restaurant employees feel that work stress has a negative impact on their personal lives. Managers of a large restaurant chain wonder whether this claim is valid for their employees. A random sample of 100 employees finds that 68 answer “Yes” when asked, “Does work stress have a negative impact on your personal life?”
1. Do these data provide convincing evidence at the α = 0.10 significance level that the proportion of all employees in this chain who would say “Yes” differs from 0.75? 2. A 90% confidence interval for the restaurant worker data was also created and found to be (0.603272, 0.756728). Explain how the confidence interval is consistent with, but gives more information than, the test.
Answers
Hypothesis test on the proportion of employees, gives an evidence
based conclusion which is consistent with the confidence interval.
Response:
There is insufficient or no convincing statistical evidence to conclude that the proportion differs from 0.75The confidence interval indicates that the proportion of workers that feel that work stress has a negative impact on their lives is between 0.603272 and 0.756728, a proportion that includes 0.75, which is consistent with the test, and also provides the minimum and maximum expected proportion at 95% confidence level.How can the test of the hypothesis be performed?1. The percentage of workers that the news report claims work stress have a negative impact on their personal lives, p = 75%
Number of employees in the sample, n = 100
Number that answered yes = 68
The null hypothesis is, H₀: p = 0.75The alternative hypothesis is, Hₐ: p ≠ 0.75The proportion of the employees that said yes, [tex]\hat p[/tex] = 68 ÷ 100 = 0.68
The z-test formula is; [tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}[/tex]
q = 1 - p
Which gives;
[tex]z= \mathbf{\dfrac{0.68-0.75}{\sqrt{\dfrac{0.75 \times (1 - 0.75)}{100}}}} \approx -1.62[/tex]
The p-value ≈ 2 × p(Z < -1.62) = 2 × 0.0526 = 0.1052
The significance level, α = 0.10
Given that the p-value is larger than the significance level, we fail to
reject the null hypothesis, and conclude that as follows;
There is insufficient convincing statistical evidence that the proportion differs from 0.75.2. The 90% confidence interval is (0.603272, 0.756728)
The confidence interval indicates that at 90% confidence level, the true
proportion of employees that feel that work stress has a negative
impact on their personal lives is between 0.603272 and 0.756728.
The report claim of 75% or 0.75 is within the confidence interval, which consistent with the hypothesis testThe information in the confidence interval also indicates that at 90% confidence level, the proportion of the employee that say yes is between (0.603272, 0.756728), thereby giving more informationLearn more about hypothesis testing here:
https://brainly.com/question/23082833
for every 5 green apples there are 2 red apples what is the raito
Answers
Answer:
5:2
Step-by-step explanation:
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
Answers
Answer:
32
Step-by-step explanation:
i just did 4 times 4 and add it to 8 times 2
Answer:
The area of the figure is 28.
Step-by-step explanation:
First, split it into a square and a trapezoid.
Then calculate the area of each of them.
Square = 4 times 4 = 16
Trapezoid = ((4 + 2)/ 2)*4 = 12
12 + 16 = 28
I hope this helps :)
Fei Yen bought a 28-pound bag of dog food. How many ounces are in a 28-pound bag of dog food?
Answers
Answer:
448 oz.
Step-by-step explanation:
28x16 = 448
Answer:
448 ounces
Step-by-step explanation:
1 pound = 16 ounces
16x28=448
I am having an issue in figuring out how the answer is 247,700.
Answers
Answer:
its 1,108,582
Step-by-step explanation:
u add them to get how much it fits
What is the equation of a line that contains the point (3, 5) and hasba slope of 3 in slope-intercept form?
Answers
Answer:
y= 3x - 5
Step-by-step explanation:
y= mx+b is slope-intercept form,
m= slope (3)
b= y-intercept (5)
Therefore, y = 3x - 5 is your form.
If you wanted to calculate it, you'd input the x value of 3, like y = 3^3 - 5 to find your slope intercept.
A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the event that the sum of the numbers falling uppermost is 5. Determine whether Eand Fare independent events.Show your calculationsby describing the sample space, theeventsE and F, and combinations of these events as needed.
Answers
Answer:
They are not independent
Step-by-step explanation:
Given
E = Occurrence of 1 on first die
F = Sum of the uppermost occurrence in both die is 5
Required
Are E and F independent
First, we need to list the sample space of a roll of a die
[tex]Event\ 1 = \{1,2,3,4,5,6\}[/tex]
Next, we list out the sample space of F
[tex]Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\[/tex]
[tex]6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}[/tex]
In (1): the sample space of E is:
[tex]E = \{1\}[/tex]
So:
[tex]P(E) = \frac{n(E)}{n(Event\ 1)}[/tex]
[tex]P(E) = \frac{1}{6}[/tex]
In (2): the sample space of F is:
[tex]F = \{5,5,5,5\}[/tex]
So:
[tex]P(F) = \frac{n(F)}{n(Event\ 2)}[/tex]
[tex]P(F) =\frac{4}{36}[/tex]
[tex]P(F) =\frac{1}{9}[/tex]
For E and F to be independent:
[tex]P(E\ and\ F) = P(E) * P(F)[/tex]
Substitute values for P(E) and P(F)
This gives:
[tex]P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}[/tex]
[tex]P(E\ and\ F) = \frac{1}{54}[/tex]
However, the actual value of P(E and F) is 0.
This is so because [tex]E = \{1\}[/tex] and [tex]F = \{5,5,5,5\}[/tex] have 0 common elements:
So:
[tex]P(E\ and\ F) = 0[/tex]
Compare [tex]P(E\ and\ F) = \frac{1}{54}[/tex] and [tex]P(E\ and\ F) = 0[/tex].
These values are not equal.
Hence: the two events are not independent
HELP ILL GIVE BRAINLESS DUE SOON
Answers
Answer:
f x 3=8
Step-by-step explanation:
HELP ILL GIVE BRAINLESS DUE SOON
Answers
Answer:
D) 39
Step-by-step explanation:
The numbers, put in order, are:
30 32 32 36 42 43 44 45
The median (middle) is between 36 and 42.
39 is halfway between 36 and 42.
Answer:
the answer is
D) 39
Step-by-step explanation:
What is the value of "2 + 3x" if x = ½? *
Answers
Answer:
3.5 or 3 1/2
Step-by-step explanation:
2 + (3*1/2) = 3.5, which is equal to 3 1/2.
Answer:
Mixed fraction: 3 1/2
Improper fraction: 7/2
Step-by-step explanation:
2+3/2
1 1/2+2= 3 1/2
Select the correct answer.
Identify the axis of symmetry of the function graphed below.
A. X=1
B. X=3
C. X=5
D. X=4
Answers
x=3
found by the vertex
Answer:
B. ( X = 3 )
Step-by-step explanation:
it's correct edmentum/plato
round $74.91 to the nearest dollar
Answers
Answer:$75
Step-by-step explanation:
Brhe
Solve the system of equations by elimination. Explain your reasoning or show your work.
Answers
9514 1404 393
Answer:
(x, y) = (5, 4)
Step-by-step explanation:
Subtracting the second equation from the first eliminates the x term.
(4x +6y) -(4x +2y) = (44) -(28)
4y = 16 . . . . simplify
y = 4
Using the second equation to find x, we have ...
4x +2(4) = 28
x + 2 = 7 . . . . . . divide by 4
x = 5 . . . . . . . . . subtract 2
The solution is (x, y) = (5, 4).
Hi! My teacher shows us a video and thats it, so I'm really struggling on our math test today. Can you help me answer this question? Thank you :)
Answers
Answer:
A and E
Step-by-step explanation:
Please help me, I’ll give you points
Answers
Answer:
cool
Step-by-step explanation:
A class of 50 students is divided into two groups. One group has 8 more students than the
other. How many students are in each group?
$76 nor week plus S16 for each sale
Answers
Answer:
Step-by-step explanation:
b. Name all three angles
listed in the figure below:
C. Solve for X
Answers
plz help me with this
Answers
Answer:
You do it yourself jk There is a positive linearly accending correlation with an increase of 80 products for every increase of 10 employees respectively.y=8(x)+120initial products are the factory and increase per employeeIf I sell all 80 tickets, I will have completed Il
% of my goal.
Answers
POINTS PLZ HELP
A baker determined the annual profit in dollars from selling pies using p n( ) = 52n − 0.05n2 , where n is the number of pies sold. What is the annual profit if the baker sells 400 pies?
F $20,780
G $12,800
H $28,800
J $20,760
Answers
Answer:
G
Step-by-step explanation:
Answer:$12,800
Step-by-step explanation:
Add 400 to every n in the equation, I’ll be using y for the “p(n)” part cus it always confuses me like that.
Y=52(400)-0.05 x 400^2
=20,800 - 0.05 x 160,000
=20,800 - 8,000
=12,800
Estimate the area of a rectangle with length 5/8 foot and a width of 4/9 foot.
Answers
Hello there!
Area = Length * Width
Area = [tex]\frac{5}{8} * \frac{4}{9}[/tex]
Area = [tex]\frac{5}{18}[/tex]
Thanks!
~Garebear
!!HELPPP ME AND MY FRIENDD!!
Answers
Answer:
1 and 3
Step-by-step explanation:
Answer:
B . <3 <7
I had the sam test and got a 100
please mark brainliest
Step-by-step explanation:
Pls help im failing I’ll brainlest for the right answer
Answers
Answer:
65 miles per hour
Step-by-step explanation:
Jill and a friend are going hiking. They bring with them a container that holds 1/2 of a gallon of water. If they share the water equally what fraction of a gallon will each friend get?
Answers
Answer:
¼
Step-by-step explanation:
Solution,
Total quantity=½ gallon
Each friends quantity=½/2
=¼ gallon
How many of the following polygons are CONCAVE
Answers
3x+2x-13=47 solve for x
please show all the steps
Answers
See photo I provided below
5x-13=47
Add 13 from both side
47+13=60
5x=60
Divide 5x both Side to get x=12
You have a job that pays $20.00 for each day you show up, plus $11.00 per hour. Which expression shows the amount you make in one day if you work for (h) hours?
Answers
Answer:
Step-by-step explanation:
20.00+ 11.00=31.00
31x24=744
ps u did not put how manny hours so my answer cant be correct
Leonard has an enclosed glass cabinet to display his collectibles. It is a rectangular prism with glass on all sides, except for the base. The cabine is 5 ft. tall, 1 ft. wide, and 2 ft. long. How many square feet o glass is this display case made
Answers
Answer:
2 feet
Step-by-step explanation:
A toy made of connecting blocks is in the shape below. Find its total volume.
Answers
Answer:
D) 312 cubic yards
Step-by-step explanation:
large box = 9x8x4=288
small box = 2x3x4=24
288+24=312
What is the volume of this figure need help asap!!!
Answers
Answer:
312
Step-by-step explanation:
We can calculate by dividing it into 2 parts. The first part has length of 6, width of 4 and height of 2, so volume of this part is 48. Similarly, we can calculate that the volume of the second part is 264. Hence, the total volume is 312.
Answer:
Volume of the figure= 312 yd²
Step-by-step explanation:
Okay let's split this figure up into two different rectangles. Let's draw the line at the part of the rectangle that is nearest us (looking at the picture). The little part where it says 6 yd. and 4 yd.
We know volume is V= lwh
Start with the main rectangle (bigger one)
I see l=12, w=11, and h=2
So V(of main rectangle)=12x11x2
V(of main rectangle)=264
We have to go do the smaller rectangle now
I see l=4, w=6, but I know the h=2 because the height is the same as the main triangle.
So V(of smaller rectangle)=6x4x2
V(of smaller rectangle)=48
Now knowing the volume of the main and smaller rectangle, we have to add them to find the volume of the figure.
V(of smaller rectangle) + V(of main rectangle)
264 + 48
Volume of the figure= 312 yd²