Answer:
1.) 3833.8
2.) (3428.81 ; 4238.79)
Step-by-step explanation:
1.)
Point estimate of the salary for student with GPA of 3.
Using the regression model given :
Y = 2090.5 + 581.1x
x = 3
Y = 2090.5 + 581.1(3)
= 3833.8
2.)
95% confidence interval :
Y ± Tcritical * √MSE
Y = point estimate at x =3 ; = 3833.8
MSE = 21,284
Tcritical at 95% ; df = n-2 = 6-2 = 4
Tcritical(0.025 ; 4) = 2.776
√MSE = √21284 = 145.89036
Lower boundary : 3833.8 - 2.776(145.89036) = 3428.81
Upper boundary : 3833.8 + 2.776(145.89036) = 4238.79
(3428.81 ; 4238.79)
Q8. How many solutions does the system of equations have?
Answer:
it would be the first answer
Step-by-step explanation:
a solution is where the lines meet, and the coorinate is (1,4)
Find the surface area of the hemisphere 6cm
Answer:
452.4 cm^2
Step-by-step explanation:
[tex]a = 4\pi {r}^{2} \\ a = 4 \pi \times (6)^{2} \\ a = 452.4 \: cm^{2} [/tex]
I hope that is useful for you :)
Why did the farmer open a bakery?
Answer:
yes
Step-by-step explanation:
yes
Answer:
Step-by-step explanation:
Farmers usually open bakery's to sell their produce or ship them to grocery stores like Walmart, Cosco, etc. I hope this answered your question since I don't quite understand...
Find the length of the missing side
Answer:
it should be 40 in.
Step-by-step explanation:
because you have to use pythagorean theorem which is A square plus B square equals C square
Hope it helps.
I’ll give brainliest if correct!
Question 16 of 43
For the data set 9, 13, 14, 15, 15, 18, the mean is 14. What is the mean
absolute deviation?
O A. The mean absolute deviation is 14.
O B. The mean absolute deviation is 12.
O C. The mean absolute deviation is 2.
D. The mean absolute deviation is 6.
Answer:
C. The mean absolute deviation is 2.
Step-by-step explanation:
In order to find the mean absolute deviation, follow the following steps:
Find the absolute distance of each data from the mean. Add the distances so obtained Divide the sum by no of given data to get the mean absolute deviation.Let's work it out.
STEP: 1
|9 - 14| = 5
|13 - 14| = 1
|14 - 14| = 0
|15 - 14| = 1
|15 - 14| = 1
|18 - 14| = 4
STEP: 2
5 + 1 + 0 + 1 + 1 + 4 = 12
STEP: 3
Mean Absolute deviation [tex] =\frac{12}{6}= 2[/tex]
Jeremy bought 5/10 kg of mangoes, 3/4 kg of bananas and 1/2 kg of papayas. How many kilograms of fruits did he buy in all?
Answer:
add 5/10+3/4+1/2 you add number i will give you hint
A sphere has a volume of 1 cubic foot. What is the approximate diameter of the sphere?
Answer:
[tex]volume \ of \ sphere = \frac{4}{3} \pi r^3 \\\\1 =\frac{4}{3} \pi r^3\\\\r^ 3 = \frac{3}{4\pi} \\\\r = (\frac{3}{4\pi })^{\frac{1}{3} } \\\\r = 0.62ft\\\\diameter = 2 * 0.62 = 1.24ft[/tex]
Answer:
1.24 ft
Step-by-step explanation:
the volume of sphere = 4/3π.r³ = 1
=> r³ = 3/(4π)= 3/(12.56) = 0.239
r = ³√0.239
r = 0.62
d = 2×0.62 = 1.24 ft
id also appreciate help on this one ^^
Answer:
The area of the given figure is 87.55 cm square.
The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees based on the region of the country the warehouse is located. She randomly selects 35 employees who work in warehouses on the East Coast (Group 1) and 35 employees who work in warehouses in the Midwest (Group 2) and records the number of parts shipped out from each for a week.
She finds that East Coast group ships an average of 1276 parts and knows the population standard deviation to be 347.
The Midwest group ships an average of 1439 parts and knows the population standard deviation to be 298.
Using a 0.01 level of significance, test if there is a difference in productivity level. What is the test statistic?
(Round to 4 decimal places)
z =
please use excel to solve
Answer:
The test statistic is z = -2.11.
Step-by-step explanation:
Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Group 1: Sample of 35, mean of 1276, standard deviation of 347.
This means that:
[tex]\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537[/tex]
Group 2: Sample of 35, mean of 1439, standard deviation of 298.
This means that:
[tex]\mu_2 = 1439, s_2 = \frac{298}{\sqrt{35}} = 50.3712[/tex]
Test if there is a difference in productivity level.
At the null hypothesis, we test that there is no difference, that is, the subtraction is 0. So
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternate hypothesis, we test that there is difference, that is, the subtraction is different of 0. So
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the two samples:
[tex]X = \mu_1 - \mu_2 = 1276 - 1439 = -163[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{58.6537^2+50.3712^2} = 77.3144[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-163 - 0}{77.3144}[/tex]
[tex]z = -2.11[/tex]
The test statistic is z = -2.11.
What is the surface area of the solid shown below?
Answer:
[tex]\text{C. }156\:\mathrm{cm^3}[/tex]
Step-by-step explanation:
The surface area of the triangular prism consists of three rectangles and two triangles.
Rectangle One - 5 x 12 = 60 cm^2
Rectangle Two - 4 x 12 = 48 cm^2
Rectangle Three - 3 x 12 = 36 cm^2
Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2
Thus, the total surface area of the solid is [tex]60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}[/tex]
Write the algebraic expression: 4p times the sum of 7 and 5p
Answer:
4p(7 + 5p)
Step-by-step explanation:
4p times the sum of 7 and 5p
4p(7 + 5p)
In a psychology class, 60 students have a mean score of 96.9 on a test. Then 19 more students take the test and their mean score is 71.3.
What is the mean score of all of these students together? Round to one decimal place.
Help please, and thank you! C:
Answer:83.3
Step-by-step explanation:
Determine the volume if the figures below round to the nearest hundredth
Answer:
48 m³
4,186.67 km³
Step-by-step explanation:
volume of pyramid =
⅓×6×6×4 = 48 m³
volume of ball =
4/3 × 3.14 × 10³ = 4,186.67 km³
!!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
What is the solution to the equation 7.5 minus X =2.8?
Image above
Answer: A
Step-by-step explanation:
4.7+2.8 = 7.5
And
7.5 -4.7 = 2.8
lemme explain, im a middle schooler and my school just jumped into this with no explanation.
Answer:
the first question is c
Step-by-step explanation:
2 x pi x the radius
2 x 3.14 x 8
can someone help me please
Answer:
perimeter: 36
area: i dont know sorry
Step-by-step explanation:
A math teacher has a number cube with faces numbered 1 through 6. He will roll the number cube 400 times. Which of the following ranges contains the best prediction for the number of times the number cube will land with a 1 or a 4 on the top face?
A. 30-35
B. 65-70
C. 130-135
D. 265-270
Answer:
Step-by-step explanation:
B?
Please help me answer this ASAP!
Answer: z=25 x=114
Step-by-step explanation:
125 ft to yd what is the answer
Answer:
your answer is 41.6667
Answer:
41 2/3 yards
Step-by-step explanation:
Divide by 3 because 3ft in one yard
125 / 3 = 41 2/3 yards
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
In problem formulation, the a. constraints are expressed in terms of the obtained objective function coefficients. b. objective is expressed in terms of the decision variables. c. nonnegativity constraints are always ignored. d. optimal solution is decided upon.
Answer: B. objective is expressed in terms of the decision variables
Step-by-step explanation:
Linear programming refers to an optimization technique that is used for a linear constraints system and the objective function.
The objective function simply means the quantity that an individual wants to optimize. It should be noted that the aim of linear programming is to get the values of the variables which will minimize or maximize the objective function. In problem formulation, objective is expressed in terms of the decision variables.
Therefore, the correct option is B
5 + {[2 X (14 - 9)] - 1}
Answer:
14
Step-by-step explanation:
[tex] 5 + (2 \times (14 - 9) - 1) \\ = 5 + (2 \times 5) - 1 \\ = 5 + (10 - 1) \\ = 5 + 9 \\ = 14[/tex]
Which graph represents the equation y=-
--*x+3?
B)
t
Answer:
The correct answer would be the 3rd graph!
Hope this helps!
Which statement is true for the values of Pand Q on this number line? + Q + -2 1 -4 -3 0 1 A 응 4 B. PxQ5 C P+Q> -4 D P - Qo
What coordinates will remain the same? What coordinates will change to the opposite between the pre-- and post-image?
Answer:
Y values will stay the same
Step-by-step explanation:
Reflecting over the Y axis will alter the distance left and right but not up and down. so only Y remains unchanged
A sample of 300 subscribers to a particular magazine is selected from a population frame of 9,000 subscribers. If, upon examining the data, it is determined that no subscriber had been selected in the sample more than once:________.
A. the sample could not have been random
B. the sample may have been selected without replacement or with replacement
C. the sample had to have been selected without replacement
D. the sample had to have been selected with replacement
Answer:
C
Step-by-step explanation:
It is determined that no subscriber had been selected in the sample more than once the sample had to have been selected without replacement.
What is the sample?A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.
If it is determined that no subscriber had been selected in the sample more than once, this means that each subscriber was only included once in the sample. This can only occur if the sample was selected without replacement, meaning that each subscriber was selected once and only once from the population frame.
Therefore, the correct answer is C. the sample had to have been selected without replacement.
Learn more about the sample here:
https://brainly.com/question/11045407
#SPJ6
4(x+2) help please.
Answer:
4x + 8
Step-by-step explanation:
4(x+2)
4*x + 4*2
4x + 8
[tex] \large\sf \leadsto 4(x + 2)[/tex]
[tex] \large\sf \leadsto 4 \times (x + 2)[/tex]
[tex] \huge\sf \leadsto \pmb {4x + 8}[/tex]
When oil is spilled in water, it creates a thin film of water approximately 1 micron thick. A barrel of oil is approximately 42 gallons of oil. If we spill a barrel of oil on the water, what is the area covered by the oil slick
Draw a sketch showing the relevant dimensions.
State your answer in square meters.
State your answer in square kilometers.
9514 1404 393
Answer:
158,987 m²0.158986 km²Step-by-step explanation:
42 gallons is about 0.158987 cubic meters. 1 micron is 1 micro-meter, or 10^-6 meters. The volume is the product of the area and thickness. For some area A, we have ...
0.158987 m³ = (10^-6 m)A
A = (10^6)(0.158987 m² = 158,987 m²
The area in square meters is 158,987.
__
A square km is (1000 m)² = 10^6 m². So, the area in square kilometers is about ...
(158,987 m²)/(10^6 m²/km²) = 0.158987 km²
The area in square km is about 0.1590.
How do I solve this?
Answer:
find all numbers, stick together o make an uqaion and solve . simplifi if needed
Step-by-step explanation:
y=x+5
please help me with this problem I'm really struggling to answer the question.
Answer:12
Step-by-step explanation:just know i did it and got it right
what is the volume of a bow with a width of 3/2 inches a length of 5/2 inches and a height of 4 inches
Answer:
v=LxWxH
v= 3/2x5/3x4
v=15/6x4
v=10in³