Answer:
(B) (0.396, 1.712)
Step-by-step explanation:
From the information given;
Confidence Interval = 0.95
Significance Level [tex]= 1 - 0.95 = 0.05[/tex]
The confidence interval for regression coefficient beta (whereby in this case it is the coefficient of the diameter) is expressed by:
= [tex]( Beta ^- \ t_{n-2}, \alpha/2 ( S.E \ of \ \^ \ \ ), Beta^+ \ t_{n-2}, \alpha/2 ( S.E \ of \ \^ \ \ ))[/tex]
From the regression coefficient, the estimated value of beta^ = 1.054
[tex]= (1.054 - t_{29,0.025} *(0.322), 1.054 + t_{29,0.025}*(0.322))[/tex]
[tex]t_{229,0.025} = 2.0452\\\\ = \mathbf{(0.396, 1.712)}[/tex]
10 The cost to rent the cabin is $125 per night, plus a $50
non-refundable cleaning fee. Which equation would find the
total cost C of staying at the cabin for n nights?
A C = 125n + 50
B C = 50n + 125
с
n = 125C + 50
D 125
50C +n
Answer:
C=125n+50
Step-by-step explanation:
each night you stay represents "n" so if you stayed 3 nights(n)
you would multiple 125x3= 375
plus the $50 non refundable charge
In the 1990s, it was generally believed that genetic abnormalities affected about 5% of a large nation's children. Some people believe that the increase in the number of chemicals in the environment has led to an increase in the incidence of abnormalities, which could have important implications for health insurance companies. A recent study examined 384 randomly selected children and found that 25 of them showed signs of a genetic abnormality.
Required:
What is the p value?
Answer:
The p-value of the test is 0.0869.
Step-by-step explanation:
In the 1990s, it was generally believed that genetic abnormalities affected about 5% of a large nation's children.
This means that the null hypothesis is:
[tex]H_{0}: p = 0.05[/tex]
Some people believe that the increase in the number of chemicals in the environment has led to an increase in the incidence of abnormalities.
This means that the alternate hypothesis is:
[tex]H_{a}: p > 0.05[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
5% tested at the null hypothesis:
This means that:
[tex]\mu = 0.05, \sigma = \sqrt{0.05*0.95}[/tex]
A recent study examined 384 randomly selected children and found that 25 of them showed signs of a genetic abnormality.
This means that [tex]n = 384, X = \frac{25}{384} = 0.0651[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.0651 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{384}}}[/tex]
[tex]z = 1.36[/tex]
p-value:
Testing if the mean is bigger than a value, so the pvalue is the probability of finding a value in the z table higher than 1.36, which is 1 subtracted by the pvalue of z = 1.36.
z = 1.36 has a pvalue of 0.9131
1 - 0.9131 = 0.0869
The p-value of the test is 0.0869.
Calvin found census data for the population of Idaho from 1870 through 2000. He made the chart and scatter plot using this
data.
Idaho Population
Calvin's Graph
Yaar
1870
1880
1890
1900
1910
1920
1930
1940
1950
1960
1970
1980
1990
1994
2000
2010
TID Pop
18
33
89
162
326
432
445
525
589
667
713
944
1007
1040
1800
1600)
1400
1200
Population 1000
in Thousands 800
600
400
200
OL
1860
1890
1920
1950
Year
1980
2010
Using a line of best fit, which of these would be a reasonable prediction for the population of Idaho in 2020?
O A 1.600.000
O D. 1,000,000
O B. 1,400,000
O E. 800.000
O c. 1.200.000
Answer:
it’s D
Step-by-step explanation:
Find the value of X given 2 angles, 58 and 38.
Answer:
84
Step-by-step explanation:
180 - 58 - 38 = 84
because all the angles of a triangle add up to 180
Answer: 84
Step-by-step explanation:
A triangles total angles are 180 so we just have to subtract 58+38 from 180
Find the area of each figure. Please help <3 it would be appreciated! (30 points)
Answer:
[tex] 1,824 \: {in}^{2} [/tex]
Step-by-step explanation:
Area of the figure = Area of rectangle with dimensions 48 in and 32 in + Area of triangle with base 48 in and height 12 in.
[tex] = 48 \times 32 + \frac{1}{2} \times 48 \times 12 \\ \\ = 1,536 + 24 \times 12 \\ \\ = 1,536 + 288 \\ \\ = 1,824 \: {in}^{2} [/tex]
Which expression is equal to 45x4-7: 4-2
Answer:
173
Step-by-step explanation:
45(4)-7
180-7
173
Branliest to correct answer explain how you got your answer please
Which expression is equivalent to 8x- 2y - + x + x
A.4x
B.8x
C.6x - 2y
D.10x - 2y
Answer:
C
Step-by-step explanation:
Subtract like-terms. -2y is the only variable that has a y and is therefore unaffected. 8x - x - x = 6x.
--- > 6x - 2y
Find the sum: 28,35,42,49,56,63,70
Answer:
343
Step-by-step explanation:
Big brain calculator work
28 + 35 + 42 + 49 + 56 + 63 + 70 = 343
Answer:
343
Step-by-step explanation:
28+35+42+49+56+63+70 We are asked to find the sum, so we add all the numbers in the series.
28+35+42+49+56+63+70 = 343
8.
Which equation best describes the graph? Please give explanation and dont just put anything down for points
Y
A
8
6
4
2
-8
- 6
-4
-2
2
4
6 8
-2
-
y = - 2x + 3
с
y = -3x + }
O y = -fx +
B y = -3.x + 3
Answer:
A. y = -⅓x + 3
Step-by-step explanation:
Find the equation of the graph bin slope-intercept form, y = mx + b. Where,
m = slope = ∆y/∆x
Using two points on the line, (0, 3) and (3, 2),
Slope (m) = (2 - 3)/(3 - 0) = -1/3
m = -⅓
b = y-intercept = 3 (the y-coordinate of the point where the line crosses the y-axis)
✅To write the equation, substitute m = -⅓ and b = 3 into y = mx + b
Thus:
y = -⅓x + 3
vertex of y = x³ + x² - 4x - 4
Answer:
(-2,0)
Step-by-step explanation:
PLZ HELP QUICK NO LINKS
Answer:
11
Step-by-step explanation:
2 x 11=22
22/2=11
Use the Cross Products Property to solve x/35 = 2/7.
Answer:
x = 10
Step-by-step explanation:
Set up:
[tex]\frac{x}{35} = \frac{2}{7} \\[/tex]
Cross multiple:
7x = 70
Divide by 7
x = 10
Orlando and Ryan are taking measurements related to the installation of a TV tower. Orlando measures a 62° angle of
elevation to the top of the 950 ft TV tower. Find the angle of elevation for Ryan, standing 80 ft farther from the tower than
Orlando. Round answer to nearest tenth.
Answer:
85 I think
Step-by-step explanation:
85 no explanation
Match the following.
Answer:
1) Rotation
2) Reflection
3)Dilation
4) Rotation
5) Reflection
6) Translation
7) Rotation
Step-by-step explanation: :
Keep in mind
Reflection is a flip.
Rotation turns a figure through an angle about a fixed point called the center.
Translation "slides" an object a fixed distance in a given direction.
Dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
Easy easy easy point easy please explain and make it quick as possible
Answer:
--
Step-by-step explanation:
so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.
a. (3/4)*7=(3*7)/4
b. 7*(3/4)=(7*3)/4
c. 3*(7/4)=(3*7)/4
when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.
Answer:
Step-by-step explanation:
so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.a. (3/4)*7=(3*7)/4b. 7*(3/4)=(7*3)/4c. 3*(7/4)=(3*7)/4when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.
pasagot po please........
Step-by-step explanation:
Angles:
1. <SLT and <AKM
2.<KMA and <LST
3.<MAK and <STL
Sides:
1. SL and KM
2.ST and AM
3.TL and AK
Answer:
3
Step-by-step explanation:
hgffggffggfrrtggfrrg
WILL GIVE BRAINLIEST!!
If N is the plane of symmetry, click on the graphic to find the figure that is symmetrical with respect to plane N.
Answer:
thrid one looks right
Step-by-step explanation:
Answer:
The 4th cone
Step-by-step explanation:
Hello, the answer to your question is the 4th cone; the cone with its bottom half facing skyward. If you are familiar with plane symmetry, this question is fairly simple. Since the topmost cone has its bottom half facing downward, it would only be logical to choose the cone that forms mirror halves (superimpose) when paired.
Hope this helps.
Just in case my explanation was too confusing, I'll attach the image of the answer here.
Feel free to give me brainliest.
Can someone please help me with just these two thanks I will give a brainliest to the correct answers
Answer:
7. [tex]c = 15.81[/tex]
8. [tex]b = 16[/tex]
Step-by-step explanation:
Required
Determine the third sides
(7): We have
[tex]b = 5[/tex]
[tex]a = 15[/tex]
[tex]c=??[/tex]
To find c, we make use of Pythagoras theorem
[tex]c^2 = a^2 + b^2[/tex]
[tex]c^2 = 5^2 + 15^2[/tex]
[tex]c^2 = 250[/tex]
[tex]c = \sqrt{250[/tex]
[tex]c = 15.81[/tex]
(8): We have
[tex]c = 20[/tex]
[tex]a = 12[/tex]
[tex]b = ??[/tex]
To find c, we make use of Pythagoras theorem
[tex]c^2 = a^2 + b^2[/tex]
[tex]20^2 = 12^2 + b^2[/tex]
[tex]400 = 144 + b^2[/tex]
[tex]b^2 = 400 - 144[/tex]
[tex]b^2 = 256[/tex]
[tex]b = \sqrt{256[/tex]
[tex]b = 16[/tex]
Please please help me please please help please
plzz help im in class RIGHT NOW
Answer:
i have no answer
Step-by-step explanation:
Answer:
You're a really fungi
Step-by-step explanation:
Which quadrant contains the terminal side of 320 degrees?
Answer:
57 degrees
Step-by-step explanation:
Answer:
4th quadrant
Step-by-step explanation:
Since 320∘ lies between 270∘ and 360∘, the angle lies in the 4th quadrant.
A card is drawn from a deck of 52 cards. Find the probability of drawing a black card.
14) Find the probability of drawing a red card.
15) Find the probability of drawing a red or black.
16) Find the probability of drawing an ace.
17) Find the probability of drawing either a jack or queen or king.
Answer: See below
Step-by-step explanation:
14) 26/52 of the cards are red, 1/2
15) All of the cards are red or black, 1/1
16) 4/52 of the cards are aces, 1/13
17) 12/52 of the cards are J/Q/K, 3/13
Convert the fractions to whatever unit is needed.
Answer:
14) 26/52
15) 52/52
16) 4/52
17) 24/52
Step-by-step explanation:
X^2=4 convert exponential function into natural logarithm (ln)
Answer:
[tex]2 = ln(4) [/tex]
Step-by-step explanation:
[tex] {x}^{2} = 4[/tex]
Since the power is 2 and our answer is 4 our natural log equation look like
[tex]2 = ln(4) [/tex]
B.
O
24
10
26
Find tan 2C
A.
5
13
B.
12
13
C. 12
5
Answer:
=12/5
Step-by-step explanation:
tan<C=opposite/hypotenuse
tan<C=24/10
tan<C=12/5
x - y + y =
help plz plz helpppp
Answer:
x - y + y =x is your answer hope it helps
Step-by-step explanation:
like terms can be add or subtract
Answer:
x
Step-by-step explanation:
because it form + and - it has to equal 0 . so it is toally x.
Dr Larson saw 1020 patients last year this year the number of patients he saw was 45% lower how many patients did dr. Larson see this year.
Answer:
561 patients
Step-by-step explanation:
45 percent of 1020= 459
1020-459=561
Please help ill mark brainliest if correct
I attached a photo of the problem
Answer:
12.8
Step-by-step explanation:
imagine a right triangle in the middle,
base: 16 ÷ 2 = 8 cm, height: 10 cm, side: s
10² + 8² = s²
=> s = √(10² + 8²)
=> s = √(100 + 64)
=> s = √164
=> s ≈ 12.8
2. You have 15 nickels and dimes. The coins are worth $1.20. How many of each coin do you have?
Answer:
9 dimes and 6 nickles
Step-by-step explanation:
LifeCharge Batteries claims that their batteries last an average of 210 hours when used in a hand held gaming system, with a standard deviation of about 9 hours. An independent quality control company took a sample of 34 batteries, and used the same hand held gaming system that LifeCharge used to record the time the batteries lasted.
1. Assuming the claim is true, what is the probability that the value of the sample mean is greater than 251.7 hours.
2. The sample mean was found to be 251.7, what does this say about the claim?
A. The sample mean is quite far off from the mean claimed, casting doubt on the current mean.
B. The sample mean is sufficiently close to the mean claimed, supporting the current mean.
C. The sample mean found does not truly support nor cast doubt on the current mean.
Answer:
The answer is "0.0023 and Choice a"
Step-by-step explanation:
In point a:
The central limit theorem:
[tex]\mu_{X}= 250\\\\\sigma_{X}=\frac{\sigma}{\sqrt{n}}=\frac{6}{\sqrt{100}} =0.6\\\\P(\bar{X}>251.7)\\\\=P(z>\frac{251.70-250}{0.6})\\\\=P(z>2.83)\\\\=1-0.9977\\\\=0.0023[/tex]
In point b:
The chance is lower than 0.05. This means that it is very rare to see the average sample above 251.8 if the argument is valid, that is why the means of the sample is far away from the common claimed and casts doubt on the actual mean.