Answer:
$67.20
Step-by-step explanation:
"30% off" translates into multiplying the original price by 1.00 - 0.30, or 0.70.
0.70($96) = $67.20 is the sales price
Suppose we have two thermometers. One thermometer is very precise but is delicate and heavy (X). We have another thermometer that is much cheaper and lighter, but of unknown precision (Y). We would like to know if we can (reliably) bring the lighter thermometer with us into the field. So, we set up an experiment where we expose both thermometers to 31 different temperatures and measure the temperature with each. We get the following observations:
x = 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120
y = 0.02, 3.99, 7.91, 12.03, 16.09, 20.00, 23.98, 28.09, 31.94, 36.03, 40.00, 44.05, 47.95, 52.00, 55.87, 59.90, 63.91, 67.95, 72.11, 76.02, 80.01, 84.10, 88.06, 91.74, 96.02, 99.95, 103.87, 108.01, 111.99, 116.04, 120.03
We want to test if these thermometers seem to be measuring the same temperatures. Let's use the threshold.
(a) Write down the appropriate hypothesis tests for β1.
H0: β1(≠ / = / > / <) 1 and Ha: β1( ≤ / = / > / ≠ / ≥ / <) 1.
(b) The test statistic is____.
(c) The p-value is____.
(d) Therefore, we can conclude that:_____.
1) The data provides evidence at the 0.1 significance level that these thermometers are not consistent.
2) The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.
3) The probability that the null hypothesis is true is equal to the p-value.
4) The probability that we have made a mistake is equal to 0.1.
Answer:
a)H0: β1= 1 and Ha: β1 ≠1
b) The test statistic is____.t= b- β/ sb
c) The p-value is____.0.999144
(d) Therefore, we can conclude that:_____. there is not enough evidence to reject the null hypothesis.
2) The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.
Step-by-step explanation:
The null and alternate hypotheses are
H0: β1= 1 and Ha: β1 ≠1
The significance level is alpha= 0.1 but ∝/2 =0.1/2= 0.05 for two tailed test.
The critical region at t ∝/2 (29)= t ≤ - 1.699 , t ≥ 1.699
The test statistic is
t= b- β/ sb
which has t distribution with υ= 31-2= 29 degrees of freedom.
Calculations
Ŷ = a +bX
b = SPxy /SS x= Σ(xi-x`)(yi-y`)/Σ(xi-x`)²
b = 39671.6/39680= 0.9998
a = y` - bx`
x`= 60
y`= 59.989
a = 59.989 -0.9998*60 = 0.001734
Syx²= Σ( yi -y`)²/ n-2= 39663.3857/ 29=1367.68965
Syx= 36.9822
Sb= Syx/ √∑ (x-x`)²
Sb= 36.9823/ √39680
Sb= 36.9823/ 199.984
Sb= 0.18493
x-x` y-y` (x-x`)² (x-x`)(y-y`)
-60 -59.969 3600 3598.1419
-56 -55.999 3136 3135.9458
-52 -52.079 2704 2708.1097
-48 -47.959 2304 2302.0335
-44 -43.899 1936 1931.5574
-40 -39.989 1600 1599.5613
-36 -36.009 1296 1296.3252
-32 -31.899 1024 1020.769
-28 -28.049 784 785.3729
-24 -23.959 576 575.0168
-20 -19.989 400 399.7806
-16 -15.939 256 255.0245
-12 -12.039 144 144.4684
-8 -7.989 64 63.9123
-4 -4.119 16 16.4761
0 -0.08903 0 0
4 3.921 16 15.6839
8 7.961 64 63.6877
12 12.121 144 145.4516
16 16.031 256 256.4955
20 20.021 400 400.4194
24 24.111 576 578.6632
28 28.071 784 785.9871
32 31.751 1024 1016.031
36 36.031 1296 1297.1148
40 39.961 1600 1598.4387
44 43.881 1936 1930.7626
48 48.021 2304 2305.0065
52 52.001 2704 2704.0503
56 56.051 3136 3138.8542
60 60.041 3600 3602.4581
∑0 0 39680 (SSx) 39671.6 (SPxy)
Putting the values
The test statistic is
t= b- β/ sb
t= 0.9998-1/ 0.18493 ( β=1 given)
t=-0.0010815
Since the calculated t=-0.0010815 does not lie in the critical region t ∝/2 (29)= t ≤ - 1.699 , t ≥ 1.699 we conclude that these thermometers seem to be measure temperatures.
The p-value is ≈ 0.999144
there is not enough evidence to reject the null hypothesis.
HELP FAST I GIVE BRAINLIEST
Answer:
1st option (c = 15.00 + 3.50n)
Step-by-step explanation:
Answer:
A. c=15.00+3.50n
Step-by-step explanation:
We can find how much a single charm costs by taking the 2nd term and subtracting it by the first.
22.00-18.50=3.50
A charm is $3.50.
We can also find the initial price of the bracelet by taking the first term and subtracting off one charm.
18.50-3.50=15.00
The bracelet by itself is $15.00
Knowing n goes up by a rate of 3.50 and the initial price is 15.00, we can find the answer is
A. c=15.00+3.50n
20 POINTS PLEASE ANSWER THIS ASAP!!!!!
How many six-character code words can be formed if the first two characters are letters and the others are letters and/or digits? Repetition of numbers and letters is allowed.
a) 6,760,000
b) 723,465,600
c) 1,135,420,416
d) 918,918,000
2.Answer question # 1 if Repetition is NOT allowed.
a) 918,918,000
b)723,465,600
c)1,135,420,416
d)720
Answer:
A ; 3276000 (second answer)
Step-by-step explanation:
think of it like this:
L L # # # # ( six symbols, L for letters, # for numbers)
26 X 26 X 10 X 10 X 10 X10 = 6760000
If we take away repetition then the equation would look like this:
L L # # # # ( 26 then 25 due to the loss of a letter due to no )
26 X 25 X 10 X 9 X 8 X 7 ( Repetition. Same with 10,9,8,7 )
Therefore the answer to the second question isn't even up there which is 3276000.
Hope this helps...
NEED HELP ASAP!!!! 100 points up for grabs.
An expression is shown below:
6(m + 2 + 7m)
Part A: Write two expressions that are equivalent to the given expression. (3 points)
Part B: Show that one of your expressions in Part A is equivalent to the given expression using algebraic properties. Explain which properties you used. (4 points)
Part C: Show that your other expression from Part A is equivalent to the given expression by substituting a number for m. (3 points)
Answer:
part a: 6m+12+42m
48m+12=0
m = -0.25
Answer:
Few expression are shown below :-6(2m+2+6m) , 6 (3m + 2+4m) , 3 (2m+4+14m)6(m+2+7m)Equivalent expression include:-6(8m+2)48m +126(2m+2+6m) , 6 (3m + 2+4m) , 3 (2m+4+14m)Putting the value of m = 1 we get6(m+2+7m) = 6(1+2+7)=606(2m+2+6m) = 6(2+2+6) = 60Similarly we will put the value till 3(2m +4+14m) = 6048m + 12 = (48×1 +12)=60This proves that all values are equal. Hence verification is done.Learn More:-To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.To get the answer, solve the equation for the variable. Then plug that variable value into the expression and simplify to get the answer.
The May 1, 2009, issue of a certain publication reported the following home sale amounts for a sample of homes in Alameda, CA that were sold the previous month (1,000s of $). 591 820 575 607 349 1,288 412 543 557 676 A button hyperlink to the SALT program that reads: Use SALT. (a) Calculate and interpret the sample mean and median. The sample mean is x
The sample mean is $641.80 thousand and the sample median is $583 thousand.
This means that the average sale price for a home in this sample was $641.80 thousand and that half the sales were for less than the median price and price and half the sales were more than the median price.
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
sum of the numbers = $ (591 + 820 + 575 + 607 + 349 + 1,288 + 412 + 543 + 557+ 676) = 6418
total number = 10
Mean = $6418 / 10 = $641.80
= $641.80 thousand
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
Arranging the prices in ascending order : 349, 412, 543, 557, 575, 591, 607, 676, 820, 1288
The two numbers in the middle of the set of numbers are 575 and 591
Median = (575 + 591) / 2 = $583
$583 thousand
To learn more about median, please check : https://brainly.com/question/300591?referrer=searchResults
Which of these is NOT the net of a cube.
Answer:
A.
Step-by-step explanation:
You don't really need much of an explanation ...
Factor 5a2 - 30a + 40.
A) 5(a - 2)(a + 4)
B) (a - 20)(a - 2)
O C) 5(a - 2)(a - 4)
OD) (5a - 5)(a - 8)
Write the algebraic expression: The sum of 2 and 83p
Answer and Step-by-step explanation:
2 + 83p would be the expression.
In word form:
Two plus eighty three times p.
#teamtrees #PAW (Plant And Water)
Answer:
[tex]2 + 83p[/tex]
Step-by-step explanation:
The phrase 'the sum of' indicates addition.
The phrase "The sum of 2 and 83p" would add '2' and '83p'.
"The sum of 2 and 83p" as an expression would be: [tex]2 +83p[/tex].
[tex]83p + 2[/tex] would also be correct due to the commutative property.
Hope this helps.
14. What is the length of a diagonal of rectangle EFGH? Show your work
Answer:
The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.
Step-by-step explanation:
Pythagorean theorem:
The square of the hypothenuse h is equal to the sum of the squares of sides a and b, that is:
[tex]h^2 = a^2 + b^2[/tex]
Diagonal of a rectangle:
The diagonal is the hypothenuse, while the sides are a and b.
In this question:
The height has coordinates are y = 9 and y = 12, so the height is [tex]a = 12 - 9 = 3[/tex]
The length has coordinates at [tex]x = -6, x = -13[/tex], so the length is [tex]b = -6 - (-13) = 7[/tex]
Diagonal:
[tex]d^2 = a^2 + b^2[/tex]
[tex]d^2 = 3^2 + 7^2[/tex]
[tex]d^2 = 9 + 49[/tex]
[tex]d^2 = 58[/tex]
[tex]d = \sqrt{58}[/tex]
The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.
(60 divided by (3+7) x2 ) x 5 +7 A. 60 B 22 C 30 D 67
Answer:
the answer is D
Step-by-step explanation:
The product of the square of a number and 8. Let the unknown number equal five. plz i need the answer
Answer:
200
Step-by-step explanation:
If you multiply 8 by the number 5's square, 25, you get 200
what is 3 /8 times 4/7 in simplest form
Answer:
3/14
Step-by-step explanation:
what is the coefficient of the third term in the following expression? 4+9s+g
9514 1404 393
Answer:
1
Step-by-step explanation:
The third term is g. It is equivalent to 1g. (A coefficient of 1 is rarely shown.) The coefficient is the constant multiplier of the variable expression. In the third term, the coefficient is 1.
Elimination was used to solve a system of equations. One of the intermediate steps led to the equation 7x=21. Which of the following systems could have led to this equation
A. 8x-y=15, x+y=-6
B.3x+2y=7, 2x-y=7
C.4x+3y=24, -3x-3y=3
D. 7x+2y=21, -7x-2y=21
Answer:
Step-by-step explanation:
We can do this question by using concept of SYSTEM OF EQUATIONS. The answer for the question is option B.
How do you solve Linear Equations?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Calculation7x=21 is the intermediate state.
x=3 is the given solution
Substitue x in the given solutions and find y from the given solutions.
9+2y=7 and 6-y=7
so y=-1 in both the cases.
We can do this question by using concept of SYSTEM OF EQUATIONS. The answer for the question is option B.
To refer more about SYSTEM OF EQUATIONS, visit:
https://brainly.com/question/25976025
#SPJ1
I need answer tho this please help me
Answer:
there is two diagram 2,3, 4 and 5 this is the answer give
help plsss :’)))))))
=======================================================
Explanation:
Start in the first row. The stem here is 4, which forms the tens digit of the value. The first leaf of this row is 3, so it's the units digit.
A tens digit of 4 and units digit of 3 forms the value 43. The value 43 is the smallest value of this data set. We call this the minimum.
The max is 93 for similar reasons, but we look at the opposite endpoint of the spectrum. Locate the bottom row (stem = 9) and note the last leaf here is 3. So that's how we get 93 here.
Now compute the range:
range = max - min
range = 93 - 43
range = 50, answer is choice C
PLEASEE Helpp
A new road was built to reroute traffic around the park, as shown in the diagram below. About how many extra miles will the traffic travel?
9514 1404 393
Answer:
A. 20 miles
Step-by-step explanation:
You will recognize this right triangle as a 3-4-5 right triangle scaled by a factor of 10 miles. That means the "old road" length is 50 miles. The new road lenth is 40+30 = 70 miles, so the added distance is ...
70 miles - 50 miles = 20 miles . . . . extra travel distance
__
Maybe you've never heard of a 3-4-5 right triangle, so you need to use the Pythagorean theorem to compute the length of the old road. It tells you the square of that length is the sum of the squares of the new road segment:
OR² = 40² + 30²
OR² = 1600 +900 = 2500
OR = √2500 = 50 . . . . the length of the old road is 50 miles
Jason spent $980 total on a new Ps5 and some games. He paid $800 for the Ps5 and he paid $45 per game. How many games did Jason buy?
Answer:
4 games
Step-by-step explanation:
Hope this is right!!!
Answer:
4
Step-by-step explanation:
So first off, subtract the 800 from the 980, this leaves the amount of money left ofr games:
980-800
=
180.
Next divide this by how much each game cost, to get the amoutn per game:
180/45
=
4
So we know he got 4 games.
Hope this helps!
URGENT!!!!!!!!!!!!!! Three ballet dancers are positioned on stage. If Ryan is 8 meters straight behind Nina and 6 meters directly left of Heather, how far is Nina from Heather? wil give 50 points for right answer but will delete point takers
Answer:
Is the answer to the :
1st is 9
2nd is 17
3rd is 20
4th is 5
5th is 6
If it helps you....then please mark brainliest
Step-by-step explanation:
Tucker and Jeremy went scuba diving in the ocean together. Tucker dove to a depth of -115 feet, while
Jeremy dove to a depth of -109 feet. Who dove deeper into the ocean?
When do you use a solid line for graphing a linear inequality?
Answer: You use it to represent that the equation your graphing is either greater than or equal too or less than or equal too
Step-by-step explanation:
A dotted line is there to represent that the equation your graphing is either grater than or less than
So the solid line represents the same thing, except that they both have a possibility of being equal too which is why the line is solid.
I hope this helps!
Malia and her sister walk at a constant rate of 4 miles per hour.
At this constant rate, how far can Malia and her sister walk in 1.5 hours?
Answer:
6mi per 1.5h
Step-by-step explanation:
4miles per 1h
6miles per 1.5h
4×1.5=6
In a plane, line b is parallel to line f, line f is parallel to line g, and line h is perpendicular to line b. Which of the following cannot be true?
Answer: f is Parralel to g
Step-by-step explanation:
Answer:
You gave us no choices
Step-by-step explanation:
h is not parallel f
Correctly identify step 3 and 4 of the accounting process:
Answer:
Step 3: record transactions into the journal; Step 4: post entries into the ledger
I think you are happy with this answer
pls help!! i’ll mark you brainliest : )
Answer:
B, d, e
Step-by-step explanation:
The formula for the area of a triangle is 1/2×base (b)×height (h)
For b
Half of 3 is 1.5 × 8 = 12
For d
Half of 6 is 3 × 4= 12
For e
Half of 12 is 6 × 2= 12
I need the answer fast
Answer:
87
Step-by-step explanation:
this is correct
Gabrielle's team scored 18 points the first half of a basketball game and 9 points the second half of the game: Gabrielle scored 1/3 of the points. How many points did Gabrielle score?
I've been crying about this question plz Help i'll give brainliest. Question 7
Step-by-step Answer/Explanation(answers are underlined and bolded):
okay, first you want to identify all the numbers and what they mean:
lawyers:235 (within the main number of lawyers: Criminal lawyers: 74)
Family doctors: 87
Sergeons: 30
From there, add up all of said numbers (ignore the Criminal lawyers for now):
235 + 87 + 30 = 352
(352 is going to be the denominator or the number that we are going to be dividing from.)
Next, we start answering the questions!
the first one is asking for the percent of sergeons.
To do this, we need to take the number of sergeons listed, 30, and divide 352 from it:
30/352 = .0852
then multiply this by 100:
.0852 x 100= 8.52%
So the percent of sergeons is 8.52%
Next question: the percent of Family Doctors
so like the last question, we identify the number of doctors, 87, and divide 352 from it, then multiplying it by 100 after:
87/352 = .2472
.2472 x 100 = 24.72%
Meaning the percent of family doctors is 24.72%
Criminal Law is next:
repeat the steps in the last couple of problems:
72/352 = .2045
.2045 x 100 = 20.45%
Family Law:
Okay, so now, we need to take that 235 from earlier and subtract it from 72 (the criminal law students) to get the number of students going into family law.
235 - 72 = 163
now repeat the steps from the earlier problems:
163/352 = .3864
.3864 x 100 = 38.64%
(I don't particularly understand what the rest is asking...I figure you can probably figure out from here...? I hope this helps!!)
Please answer the question correctly with factual information for brainliest.
Answer:
4.5
Step-by-step explanation:
[tex]4= \sqrt[3]{64}\\5 = \sqrt[3]{125}[/tex]
[tex]\sqrt[3]{100}[/tex] is in between [tex]\sqrt[3]{64} \\[/tex] and [tex]\sqrt[3]{125}[/tex] so that means that the answer is between 4 and 5 so the best answer is 4.5.
Geometry help needed!
Answer:
AC Midpoint (2,0)-
CB Midpoint (5,-4)
midlength is 5
Step-by-step explanation:
midpoint formula [tex](\frac{x_{1}+x_{2} }{2} ,\frac{y_{1} +y_{2} }{2})[/tex]
A(2,4) C(2,-4)
[tex]\frac{2+2}{2} =\frac{4}{2}=2\\\frac{4-4}{2} =\frac{0}{2} =0[/tex]
(2,0)
C(2,-4) B(8,-4)
[tex]\frac{8+2}{2} =\frac{10}{2} =5[/tex]
[tex]\frac{-4-4}{2} =\frac{-8}{2} =-4[/tex] midpoint is (5,-4)
Distance between the 2 midpoints is the midsegment
(2,0) and (5,-4)
[tex]d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}) ^{2} }[/tex]
[tex]d=\sqrt{(5-2)^{2} +(-4-0)^{2} } \\d=\sqrt{3^{2} +(-4^{2})\\ } \\d=\sqrt{x} 9+16\\d=\sqrt{25} \\d=5[/tex]