Answer:
CI ( 90% ) = ( 5.9694 ; 12.2272)
Step-by-step explanation:
The regression line is:
Sick Days = 14.310162 - 0.2369 (Age)
The employee 22 years old will have:
SD = 14.310162 - 0.2369 (22)
SD = 14.310162 - 5.2118 ⇒ SD = 9.0983
SE = 1.682207
And CI 90 % α = 10% α =0.1 α/2 = 0.05
sample size n = 10
degree of freedom df = n - 2 df = 8
From t-student table we find t(c) = 1.86
CI ( 90% ) = ( SD[22 years]) ± t(c)*SE
CI ( 90% ) = 9.0983 ± 1.86*1.682207
CI ( 90% ) = 9.0983 ± 3.1289
CI ( 90% ) = ( 5.9694 ; 12.2272)
Using the t-distribution, it is found that the 90% confidence interval for the average number of sick days an employee will take per year, given the employee is 22 is (6, 12.2).
We are given the standard error for the sample, which is why the t-distribution is used to solve this question.
The information to build the interval is:
Sample mean of [tex]S(22) = \overline{x} = 14.310162 - 0.2369(22) = 9.1[/tex].Standard error of [tex]s = 1.682207[/tex]. Sample size of [tex]n = 10[/tex].The confidence interval is:
[tex]\overline{x} \pm ts[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 10 - 1 = 9 df, is t = 1.8331.
Then:
[tex]\overline{x} - ts = 9.1 - 1.8331(1.682207) = 6[/tex]
[tex]\overline{x} + ts = 9.1 + 1.8331(1.682207) = 12.2[/tex]
The 90% confidence interval for the average number of sick days an employee will take per year, given the employee is 22 is (6, 12.2).
A similar problem is given at https://brainly.com/question/15180581
Helpppppp please! I’ll give Brainliest!! Find the area of the parallelogram shown below. The formula to find area of a parallelogram is base x Height
Answer:
a = base × height
= 100yds × 52yds
= 5200 yds^2
(HELP FINAL EXAM) If two states are selected at random from a group of 40 states, determine the number of possible outcomes if the group of states are selected with replacement or without replacement.
Answer:
With replacement, there are 1600 possible outcomes.
Without replacement, there are 1560 possible outcomes.
Step-by-step explanation:
Chosen with replacement:
State is chosen, then put back in the group, then another state can be chosen. In both cases, there will be 40 possible outcomes, as the first taken state is placed back. So
40*40 = 1600
With replacement, there are 1600 possible outcomes.
Chosen without replacement:
State and chosen and is not replaced.
So, for the second state, there will be only 39 possible outcomes.
40*39 = 1560
Without replacement, there are 1560 possible outcomes.
Rewrite the function f(x)=2(x-2)^2+6 in the form f(x)=ax^2+bx+c.
Answer:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
f(x)=ax²+bx+c
Simplify each term.
f(x)=2x²−8x+8+6
Add 8 and 6.
f(x)=2x²−8x+14
Step-by-step explanation:
A quantity with an initial value of 760 grows exponentially at a rate of 90% every week. What is the value of the quantity after 49 days, to the nearest hundredth?
Answer: ≈67934.25
Step-by-step explanation:
A soft drink machine outputs a mean of 2222 ounces per cup. The machine's output is normally distributed with a standard deviation of 44 ounces. What is the probability of filling a cup between 2525 and 3030 ounces? Round your answer to four decimal places.
Let X be the random variable for the output of the machine. Transform X to a standard normal random variable Z, using the rule
Z = (X - µ)/[tex]\sigma[/tex]
where µ and [tex]\sigma[/tex] are the mean and standard deviation of X.
Pr[25 < X < 30] = Pr[(25 - 22)/4 < (X - 22)/4 < (30 - 22)/4]
… = Pr[3/4 < Z < 2]
… = Pr[Z < 2] - Pr[Z < 3/4]
… ≈ 0.9773 - 0.7734
… ≈ 0.2039
What is the median of this list of grades: 78,55,98,86,92,70,60 ?
Answer:
the median of this list is 78
The relative values of the mean and median for the original data set are typical of data that have a significant skew to the right. What are the relative values of the mean and median for the original data set
Answer: Your question has some missing data attached below is the missing data
Answer : Mean value is Greater
Step-by-step explanation:
The relative value of the mean for original data set is greater
Relative value of median for original data set is lesser
This is simply because the The distribution is generally skewed to the right ( Right skewed )
Please help!! Lots of points
Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line
through the two points. Which equation represents Nolan's line?
O y = 2x + 1
O y = 2x +3
O y = ax + 2
O y = 3x + 5
Answer:
O y = 2x + 3
Step-by-step explanation:
Solve the system by substitution.
9y - 6 = x
2x - 8y = 18
Answer:
Step-by-step explanation:
Find the length of side y.
y=_ft
Answer:
y= 18.582
⨝⨝⨝⨝⨝⨝⨝⨝⨝
What is 7 divided by 8360 in long division
Answer: 8.373205741626794e-4
Step-by-step explanation: Thant is what i got on my calculator
Answer:
1194 R2
Step-by-step explanation:
7 | 8360
7 (1000)
_______
1360
7 (100)
_______
660
63 (90)
_______
30
28 (4)
_______________
2 | 1194
The U.S. federal government conducts a survey of high school seniors concerning their plans for future education and employment. One question asks whether they are planning to attend a four-year college or university in the following year. Fifty percent answer yes to this question; that fifty percent is a: Question 2 options: parameter statistic variable data
Answer:
statistic
Step-by-step explanation:
no links I can use structure to evaluate expressions with more than one term.
A.
strongly agree
B.
agree
C.
disagree
D.
strongly disagree
I wish I could help but I don't know
1) I can find my volume if the volume of the cylinder is multiplied
by Who am 1?
b. Prism
a. Cone
d. Sphere
c. Pyramid
2) The volume is that of a cylinder that has the same base and
height with me. Who am I?
c. Prism
d. Pyramid
a. Cone
b. Cylinder
3) The volume of the pyramid is of the volume of what figure?
a. Cone
b. Cylinder
C. Prism
d. Pyramid
4) A rectangular prism has 10 cm length, 4 cm width and 5 cm
height. What is the length of the rectangular pyramid?
d. 20 cm
b. 5 cm
c. 10 cm
a. 4 cm
Additional Activities
Directions: Solve the following. Show your solution.
1. Diane has clay in a can. Its radius is 6 cm, while its height is 10
cm. She wanted to transfer some of her clay to her cone-
shaped container. What is the volume of the cone to be filled
and height with the can?
You can find the volume of a sphere by multiplying the volume of a cylinder by 4/3: D. sphere.
How to calculate the volume of a sphere?Mathematically, the volume of a sphere can be calculated by using this formula:
V = 4/3 × πr³
Where:
V is the volume of a sphere.r is the radius of a sphere.Note: The volume of a cylinder is equal to πr² × r.
Thus, 4/3 × πr² × r = 4/3 × πr³ (Volume of a sphere).
How to calculate the volume of a cone?Mathematically, the volume of a cone is calculated by using this formula:
V = 1/3 × πr²h
Note: The volume of a cylinder is equal to πr²h.
Therefore, 1/3 × πr²h (volume of a cone).
How to calculate the volume of a pyramid?Mathematically, the volume of a pyramid is calculated by using this formula:
Volume = 1/3 × base area × height
Volume = 1/3 × πr²h.
In Geometry, the length of a rectangular prism and the height of a rectangle pyramid are the same. Thus, the length of this rectangular pyramid is equal to 10 cm.
How to calculate the volume of Diane's cone?Mathematically, the volume of a cone is calculated by using this formula:
V = 1/3 × πr²h
V = 1/3 × 3.14 × 6² × 10
Volume, V = 376.8 cm³.
Read more on volume of a cone here: https://brainly.com/question/3029844
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3x + 5y = 7;( -1 , 2) write an eqautian thats perpidicaluar to the given line that passes through the given point
Answer:
5x -3y + 11 = 0 .
Step-by-step explanation:
Firstly let's find the slope of the line by converting the equation into slope intercept form as ,
=> 3x +5y = 7
=> 5y = 7 - 3x
=> y = (7-3x)/5
=> y = -3/5x + 7/5
On comparing this equation to the slope intercept form y = mx + c ,=> m = -⅗
Now the slope of the line perpendicular to this line will be , say m'
=> m' =- 1/m
=> m' = -1/-⅗
=> m = 5/3
Now the line passes through (-1,2 ) . so on using point slope form , we get ,=> ( x - x1) m = ( y - y1)
=> ( x - (-1)) × 5/3 = y - 2
=> ( x +1)×5 = 3( y -2)
=> 5x + 5 = 3y -6
=> 5x - 3y +5 +6=0
=> 5x -3y +11 = 0
• Hence the equation of line perpendicular to the given line is 5x -3y + 11 = 0 .The density of a solid bar is 25 pounds per cubic foot. If the bar has a volume of 5.2 cubic feet, what is the weight of the bar?
NO LINKS PLSSSS
Answer:
the weight of the bar is 130 pounds
Answer: realsies
Step-by-step explanation: w manz
Click on all the points that are solutions to y = x^2 - 9.
A) (0,-3)
B) (2,-5)
C) (3.-3)
D) (3,0)
E) (7,4)
9514 1404 393
Answer:
B) (2, -5)
D) (3, 0)
Step-by-step explanation:
I find it convenient to let a graphing calculator plot the points and the graph.
The only two points on the graph of the curve are ...
(2, -5) and (3, 0)
Which one is the best prediction! Please and no link answer :(
Answer:
[tex]Prediction = 35[/tex]
Step-by-step explanation:
Given
The attached table
Required
Expected number of Daffodil when N = 150
First, we calculate the probability of having a Daffodil.
[tex]Pr = \frac{Daffodil}{Total}[/tex]
This gives:
[tex]Pr = \frac{14}{14+10+24+12}[/tex]
[tex]Pr = \frac{14}{60}[/tex]
Simplify
[tex]Pr = \frac{7}{30}[/tex]
When there are 150 flowers, the prediction of Daffodils is:
[tex]Prediction = Pr * N[/tex]
[tex]Prediction = \frac{7}{30} * 150[/tex]
[tex]Prediction = 7*5[/tex]
[tex]Prediction = 35[/tex]
Help plz:)))I’ll mark u Brainliest
Answer:
31
Step-by-step explanation:
Given :-
A right angled triangle with 2 sides 36 and 15.And we need to find the value of AB .
Pythagoras Theorem :-
In a right angled triangle the sum of squares of two smaller sides is equal to the square of Hypotenuse .Using that ,
[tex]:\implies[/tex] h² = p² + b²
[tex]:\implies[/tex] h² = 36² + 15²
[tex]:\implies[/tex] h² = 1296 + 225
[tex]:\implies[/tex] h² = 1521
[tex]:\implies[/tex] h = 31
Hence the value of Hypotenuse is 31 .
What’s the answer and how do you figure these out?
<2 = 35° because they form an S angle. S angles are alternating angles
17 students said they enjoy summer the most.
4 of the girls said they enjoy winter.
The ratio between boys and girls is 8 : 11.
The probability of picking a student at random who enjoys Summer is 38
Twice as many of the girls chose summer over spring.
7 boys chose summer.
Autumn was chosen by 3 more boys than girls.
The probability of picking a boy at random who chose spring is 18.75%
Answer:
Step-by-step explanation:
17 students chose summer, 7 boys
Girls that chose summer= 17-7=10
Twice Girls chose summer over spring= 10÷2 =5
5 Girls chose spring, 4 Girls enjoy winter
How many total possible outcomes are there on a standard 6 sided die?
Answer:
6 (may change if multiple number cubes are used; 2 dice = 6^2, 3=6^3, so on)
I-Ready Surface area of composed figures what is the surface area of this design
Answer: 512
Step-by-step explanation:
Hello, I hope the answer is correct if not let me know and i will work step by step on it with you. Your welcome and Happy to help.
The surface area of the design is 384 inches².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
The given design is a cube.
All the sides are of the length 8 inches.
The formula to find the surface area of a cube is,
Surface area = 6a², where "a" is the length of a side of the cube.
Given, a = 8 inches
Surface area of the design = 6 × 8²
= 6 × 64
= 384 inches²
Hence the given design has the surface area of 384 inches².
Learn more about Surface Area here :
https://brainly.com/question/29298005
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Philip deposited $50 in a savings account earning 10% interest, compounded annually.
To the nearest cent, how much will he have in 3 years?
Answer:
He will have $66.55 in 3 years.
Step-by-step explanation:
Given that,
Principal, P = $50
Rate of interest, R = 10%
We need to find the amount earned by him in 3 years. We know that, the final amount is given by :
[tex]A=P(1+\dfrac{r}{100})^T[/tex]
Put all the values,
[tex]A=50(1+\dfrac{10}{100})^3\\\\=50\times (\dfrac{11}{10})^3\\\\=\$66.55[/tex]
So, he will have $66.55 in 3 years.
1. Name the angle below in four ways. Then classify it as acute, right, obruse, or straight.
Please anwser :/
Answer:
Ok so I know the angle is acute
Step-by-step explanation:
because the angle looks smaller than a 90 degree angle...
Mae is checking her bicycle’s wheel. The wheel has a radius of 28 cm, and its center is 42 cm above the ground. Mae is rotating the wheel at a constant speed of 190°/s. The height of a point on the tire as a function of time is given by h = 42 + 28 sin(190t), where h is the height in centimeters and t is the time in seconds. Find h when t = 2 s. Find your answer to the nearest tenth of a centimeter.
Answer:
B. 51.6
Step-by-step explanation:
All you have to do is find h when t=2, so just put h=42+28sin(380) into a calculator and you get 51.57656401...
A set of books sits on a shelf at a store. This line plot
shows the thickness of each book. Amelie buys the
thickest book on the shelf. Raj buys one of the thinnest
books on the shelf.
How much thicker is Amalie's book than Raj's book?
Answer:
The difference in their thickness is: [tex]2\frac{1}{2}[/tex]
Step-by-step explanation:
Given
The attached plot which represents thickness of books
Required
Difference in the thickness of Amalie's (A) and Raj's (R)
From the question, we understand that:
[tex]A \to[/tex] Thickest
[tex]R \to[/tex] One of the least
This implies that:
[tex]A = 4[/tex]
[tex]R = 1\frac{1}{2}[/tex]
The difference (d) is:
[tex]d = 4 - 1\frac{1}{2}[/tex]
[tex]d = 2\frac{1}{2}[/tex]
Answer:
2 1/2
Step-by-step explanation:
6 friends share 10 pizzas equally plz help
Answer:
6/10 of the pizza.
I can believe my teachers think i can do this
Answer:
Is that actually your hw-?
Step-by-step explanation:
Answer:
Well dang
Step-by-step explanation: