Answer:
[tex]Growth\ Rate = 0.2000[/tex] --- Year 1 to 2
[tex]Growth\ Rate = 0.3333[/tex] --- Year 2 to 3
[tex]Growth\ Rate = 0.0625[/tex] --- Year 3 to 4
[tex]Average\ Growth\ Rate = 19.86\%[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Year\ 1} & {100} & {Year\ 2} & {120} & {Year\ 3} & {160} & {Year\ 4} & {170} \ \end{array}[/tex]
Solving (a): Growth Rates between each year
For Year 1 to 2.
[tex]Growth\ Rate = \frac{Year\ 2 - Year\ 1}{Year\ 1}[/tex]
[tex]Growth\ Rate = \frac{120-100}{100}[/tex]
[tex]Growth\ Rate = \frac{20}{100}[/tex]
[tex]Growth\ Rate = 0.2000[/tex]
For Year 2 to 3.
[tex]Growth\ Rate = \frac{Year\ 3 - Year\ 2}{Year\ 2}[/tex]
[tex]Growth\ Rate = \frac{160-120}{120}[/tex]
[tex]Growth\ Rate = \frac{40}{120}[/tex]
[tex]Growth\ Rate = 0.3333[/tex]
For Year 3 to 4.
[tex]Growth\ Rate = \frac{Year\ 4 - Year\ 3}{Year\ 3}[/tex]
[tex]Growth\ Rate = \frac{170-160}{160}[/tex]
[tex]Growth\ Rate = \frac{10}{160}[/tex]
[tex]Growth\ Rate = 0.0625[/tex]
Solving (b): The average growth rate
This is calculated as by calculating the mean value of the growth rates in (a)
[tex]Average\ Growth\ Rate = \frac{1}{3}(0.2000 + 0.3333 + 0.0625)[/tex]
[tex]Average\ Growth\ Rate = \frac{1}{3}(0.5958)[/tex]
[tex]Average\ Growth\ Rate = \frac{1}{3}*0.5958[/tex]
[tex]Average\ Growth\ Rate = 0.1986[/tex]
Convert to percentage
[tex]Average\ Growth\ Rate = 0.1986 * 100\%[/tex]
[tex]Average\ Growth\ Rate = 19.86\%[/tex]
This drawing shows the plan for a ramp to be installed in front of a building. Using the dimensions given, find the length of the ramp.
A. (the square root of) 26 ft.
B. (the square root of) 27 ft.
C. 16ft
D. 35ft
Answer:
D
Step-by-step explanation:
I am not sure
Find the missing side of the triangle, leave answer in simplest radical form.
Answer:
x = [tex]\sqrt{15^{2}-13^{2}[/tex]Step-by-step explanation:
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.
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
!!HELPPP ME AND MY FRIENDD!!
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:
Fei Yen bought a 28-pound bag of dog food. How many ounces are in a 28-pound bag of dog food?
Answer:
448 oz.
Step-by-step explanation:
28x16 = 448
Answer:
448 ounces
Step-by-step explanation:
1 pound = 16 ounces
16x28=448
Pls help im failing I’ll brainlest for the right answer
Answer:
65 miles per hour
Step-by-step explanation:
WILL MARK BRAINLYIST what are the values of X,Y, and z
Answer:
x=111, y=36, z=76
Step-by-step explanation:
Question 3
1 pts
If a porcelain doll can be made in 2 1/2 hours, how many dolls can be made in 100 hours?
40
50
250
35
Answer:
40
Step-by-step explanation:
100/2.5=40
plz help me with this
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 employeeHi! 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 :)
Answer:
A and E
Step-by-step explanation:
What is the percentage of 65% of 34?
Answer: 65% of 34 is 22.1
Step-by-step explanation: Formula: 65% of 34 = 0.65 x 34 = 22.1
1. Convert 65% to a decimal. 0.65%
2. Multiply 0.65 by 34.
0.65 x 34 = 22.1
Answer:
22.1
Step-by-step explanation:
multiply 0.65 by 34
simplify 0.65 by 34
equal 22.1
x + 2 2/1=10
HELPPPPPPP!!!!!!!!!!!!!!!!!
Answer:
x+4=10x=6 Give brainlistWhat is the value of 3 in the figure shown below?
E
с
20
3.6 3.6
118°
3.8 3.8
30
D
B
9514 1404 393
Answer:
32
Step-by-step explanation:
Angle E is congruent to angle C, so is the value required to make the sum of angles in triangle ABC be 180°.
∠E = 180° -118° -30° = 32°
The value of x is 32.
Sam spins a wheel shown below. What is the probability that it lands on
a number less than 6?*
Answer:
No wheel shown
Step-by-step explanation:
Alexis was making cupcakes for the town bake sale. She decorated 9
cupcakes in 30 minutes. If Alexis continued decorating cupcakes at
this rate, how many cupcakes would she decorate in 2 hours?
Johnny said that Alexis would be able to decorate 18 cupcakes in 2
hours. Is Johnny correct? If not, explain his mistake and identify the
correct solution.
Answer:
Incorrect
Step-by-step explanation:
because it takes 30 min to bake 9 which is half an hour, and if if you multiply 9 by 4 which 30 mins each it would be 36 cupcakes in 2 hours.
NEED HELP! MATH 256 SQUARED!15 PTS ONE BRAINLYIST
Answer:
bxhebgrbf brcjfrbv5nk
Step-by-step explanation:
HELP ILL GIVE BRAINLESS DUE SOON
Answer:
f x 3=8
Step-by-step explanation:
According to exponent rules, when we multiply powers we______
the exponents.
Pick one-
divide
add
multiply
subtract
Answer:
Add
Step-by-step explanation:
Solve the system of equations by elimination. Explain your reasoning or show your work.
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).
If I sell all 80 tickets, I will have completed Il
% of my goal.
Find the measure of the missing angle.
а
54°
Answer:
a = 36°
Step-by-step explanation:
a + 54° = 90°
a = 90° - 54°
a = 36°
There are 15 boys and 12 girls and Mrs. smiths class what is the ratio of girls to boys written as a fraction in simplest form?
Answer:
4/5
Step-by-step explanation:
The ratio of girls to boys is 12/15. Since, there are 12 girls to the 15 boys in the classroom.
Then, you would simplify 12/15.
The simplified form of 12/15 is 4/5
i will give you brainliest if the answer is correct
Answer:
x = 3
Step-by-step explanation:
x = (sq rt 3)( sq rt 3) because the leg opposite the 30 degree angle (sq rt 3) times the set value of sq rt 3 = the leg adjacent to the 30 degree angle.
x = (sq rt 3)(sq rt 3)
x = 3
Please help me i’m sorry
Answer:
Is that 11/3 because of rise over run??? I'm not sure
HI there I would Love some help! Thanks!
Step-by-step explanation:
So,
This should be the format from left to right-
-2.76, -2.57, -2.5, -1.85, -1.58, 2.5, 2.85
Evaluate the expression for the given value of x.
0.2x + 5.1 for x = -3
A toy made of connecting blocks is in the shape below. Find its total volume.
Answer:
D) 312 cubic yards
Step-by-step explanation:
large box = 9x8x4=288
small box = 2x3x4=24
288+24=312
Rebecca is making halloween costumes. She pays $6.72 for 3 yards of fabric. What is the unit cost of the fabric?
Answer:
$2.24
Step-by-step explanation:
To find the unit cost, you divide 6.72 by 3, which is 2.24.
What is the size of a elephants trunk?
Answer: An elephant’s trunk is usually around 6 feet in length, but can be up to 7 feet long. The trunk alone can weigh as much as 140 kg and can hold 12 litres of water. How fast do elephants run? Elephants can run faster than you would expect, easily reaching speeds of 40 mph - a lot faster than us humans can run!
Step-by-step explanation:
Estimate the quotient of
1,483 ÷ 4.