Answer:
We reject H₀, with CI = 90 % we can conclude that the mean numbers of times identified with Ti-84 does not exceed that of the Ti-89 by more than 1,80
Step-by-step explanation:
Ti-89 Calculator
Sample mean x = 31,5
Sample standard deviation s₂ = 8,35
Sample size n₂ = 11
Ti-84 Calculator
Sample mean y = 46,2
Sample standard deviation s₁ = 9,99
Sample size n₁ = 12
t(s) = ( y - x - d ) / √s₁²/n₁ + s₂²/n₂
t(s) = 12,9 / √(99,8/12) + (69,72/11)
t(s) = 12,9 / √8,32 + 6,34
t(s) = 12,9 / 3,83
t(s) = 3,37
Test Hypothesis
Null Hypothesis H₀ y - x > 1,80
Altenative Hypothesis Hₐ y - x ≤ 1,80
We have a t(s) = 3,37
We need to compare with t(c) critical value for
t(c) α; n₁ +n₂-2 df = 12 +11 -2 df = 21
If we choose CI = 95 % then α = 5 % α = 0,05
From t-student table
t(c) = 1,72
t(s) = 3,37
t(s) >t(c)
t(s) is in the rejection region therefore we accept Hₐ with CI = 95 %
from first principle find the derivative of logx
Hello!
[tex]\large\boxed{\frac{dy}{dx}logx = \frac{1}{xln10} }[/tex]
Recall that:
[tex]logx[/tex] can be rewritten as:
[tex]log_{10}x[/tex]
Use the equation for the derivative of a log expression:
[tex]\frac{dy}{dx}log_{a}u = \frac{1}{ulna} * u'[/tex]
Substitute in the values in the expression:
[tex]logx = \frac{1}{xln10} * 1 = \frac{1}{xln10}[/tex]
Help plz I don’t have much time
Answer:
nine and two fifths( 9 2/5 )
Step-by-step explanation:
i used a fraction calclulator
Answer:9.4
Step-by-step explanation:
Viruses are in which domain of life?
A) Archaea
B) Bacteria
C) Eukarya
D) none of the above
Answer:
thanks for free points
PLEASE HELP ASAP, WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!
Answer:
D. y = -6x + 38
Step-by-step explanation:
Equation of a sequence
We are given the following sequence of numbers corresponding to the positions x={1,2,3,4,5,...}
y={32,26,20,14,8....}
To find the equation of the sequence, we must recall the general term of a sequence is:
[tex]a_x=a_1+(x-1).r[/tex]
Where r is the common difference between two consecutive terms, an and a1 are the x-th and the first terms respectively.
We can find the value of r by subtracting any pair of consecutive terms:
r = 26-32 = 20-26 = 14-20 = -6
Now we apply the formula:
y=32+(x-1).(-6)
Operating:
y=32-6x+6
y = -6x + 38
Answer:
D. y = -6x + 38
Susan and Jim each own a lawn-care business. The amount Susan charges for lawn care by the hour is shown in the table. The amount Jim charges for lawn care by the hour is shown in the graph.
Answer:
Can you please provide the table so I can know the numbers.
Step-by-step explanation:
Thank you
Answer:
plss stop english plss lang po
he
Complete the congruence statement by naming the corresponding angle or side.
50 points
Step-by-step explanation:
The answer is line CB = line BC (C).
A real estate software program gives the estimated values of homes and lists characteristics of the homes. A prospective home buyer used the program to collect a sample of twenty-five homes and recorded the estimated value of the homes and how many bathrooms they contain. The prospective home buyer wants to investigate whether there is an association between the number of bathrooms a home contains and the estimated value of the home. Assuming all conditions for inference are met, which of the following significance tests should be used for the investigation?A. A two-sample z-test for a difference between proportionsB. A linear regression t-test for slopeC. A matched pairs t-test for a mean differenceD. A two-sample t-test for a difference between meansE. A chi-square test of independence
Answer:
E - Chi-Square Test of Independence
Step-by-step explanation:
- The Two-Sample Z-test is used to compare the mean of two samples in order to find out the possibility that they come from the same population.
-A linear regression t-test for slope is used to carry out hypothesis tests on the regression coefficients which are obtained in simple linear regression.
-A matched-pairs t-test is used to test whether there is a significant difference in mean between two sets of paired data.
- A two sample t-test is used to test whether the unknown population mean found in two groups are either equal or not equal.
-Chi-Square Test of Independence is a non-parametric test that is used to find out whether there is an association between categorical variables. Simply put, to find out if the categorical variables are independent or related.
From the question, the prospective home buyer is trying to investigate whether there is an association between the two variables which are the number of bathrooms contained in home and the estimated value of the home.
This means he is trying to find out if both variables are associated i.e.either independent or related. This is what Chi-Square Test of Independence does.
Answer:
A chi-square test of independence
Step-by-step explanation:
colllege board
how many meters an Ostrich can run in 1 second, 2 seconds , and 4 seconds?
Answer:
An ostrich could run near 21 meters in 2 seconds and around 84 meters in 4 seconds
I don’t know what to do?!? Help please
Answer:
Option A
Step-by-step explanation:
[tex]\frac{5-i}{4+3i} *\frac{4-3i}{4-3i} =\frac{20-15i-4i+3i^{2} }{16-9i^{2} }=\frac{20-19i+3(-1)}{16-9(-1)} =\frac{17-19i}{25}=\frac{17}{25}- \frac{19}{25} i[/tex]
the following are the last 10 run scores Colin got in cricket :
7, 16, 12, 34, 1, 20, 7, 2, 10, 1
a) work out collins mean score.
b) collin plays cricket again on Sunday. He gets 22 runs. What is his new mean score?
can someone please answer those two questions because i really am struggling, thank you !
Answer:
a. 8.5
b. 10
Step-by-step explanation:
a.) 1, 1, 2, 7, 7, 10, 12, 16, 20, 34
Since 7 and 10 are tied in the middle, then we need to find a number in the middle of the two.
8.5 is in the middle of 7 and 10, therefore 8.5 is the mean.
b.) We need to do the same thing we did before, except add 22 to it's directed place:
1, 1, 2, 7, 7, 10, 12, 16, 20, 22, 34
Since 10 is in the middle, 10 is the new mean.
Hope this helps! :D
The table below shows the probability distribution of student ages in a high school with 1500 students. What is the expected value for the age of a randomly chosen student?
Age: 13 14 15 16 17 18
Prob: 0.01 0.25 0.27 0.30 0.16 0.01
Answer:
15
Step-by-step explanation:
Expected value =prob(age)
(13*0.01)+(14*0.25)+(15*0.27)+(16*0.30)+(17*0.16)+(18*0.01)=15.38
round off to get 15
The expected value for the age of a randomly chosen student is 15.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given:
Total number of students, n = 1500,
Age : 13, 14, 15, 16, 17, 18
Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01
Calculate the expected value as shown below,
[tex]E = x_1P_1 + x_2P_2+x_3P_3+x_4P_4+x_5P_5+x_6P_6[/tex]
E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01
E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18
E = 15.38 ≈ 15
Therefore, the expected value for the age of a randomly chosen student is 15.
To know more about probability:
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Evaluate.
0^2=
I do not get this way toooooooo hard
Answer:
zero
Step-by-step explanation:
Answer:The answer is 0
Step-by-step explanation: Sorry i didn't explain it.
Can someone help me and explain it please thank you so much I appreciate it!!!!!
Answer:
12 10 dollar bills.
Step-by-step explanation:
you need 12 10 dollar bills bc i added 3 50 dollar bills (150), 18 20 dollar bills (360), which was 510. after i got 510, i figured out how much was needed left, so i subtracted 630 minus 510 which was 120. in the end i knew 10x12 was 120 so you need twelve 10 dollar bills.
Shawn sells 36 vehicles in 4 weeks. Brett sells 56 vehicles in 7 weeks. Who sells more vehicles per week
Answer:
Shawn
Step-by-step explanation:
Shawn sells 36/4 = 9
Brett sells 56/7=8
Therefore , Shawn sells more vehicles per week
Answer: Shawn
Step-by-step explanation:
36 ÷ 4 = 9
56 ÷ 7 = 8
9 is greater than 8 and bc if we divide the numbers it equals how many vehicles per week.
Estimate the quotient by rounding each number to the nearest whole number.
33.7 ÷ 9.5
Answer:
4
Step-by-step explanation:
2/3y + 1/6y =
Please help me, I am unsure about this one. I just need a grasp on where to start.
Kaitlin received a $2100 bonus. she decided to invest in a 2 year certificate of deposit with an annual interest rate of 1.13% compounded monthly.
Assuming no withdrawals are made, how much money is in kaitlins account after 2 years?
How much interest is earned on kaitlins investment after 2 years?
Answer:
interest rate is .000951667 and total interest gained is 47.98 and total money in the bank account is 2147.98
Step-by-step explanation:
you have to find the interest rate then multiply it by 1 year then put it to the power of 24. 24 because you have 34 months in 2 years
Which relation is a function?
OA.
{(2, 3), (1, 5), (2, 7))
B. (-1, 5), (-2, 6), (-3, 7)
Oc. (11,9), (11, 5), (9, 3))
OD.
(3, 8), (0, 8), (3, -2)}
Solve the inequality 6x 5
x 3
x<5
Answer:
375
Step-by-step explanation:
The ratio of red starburst to yellow starburst in the bag is 8 to 3. There are 40 red starburst in the bag, how many are yellow?
What is the slope of the line?
Answer:
math way
Step-by-step explanation:
An urn contains 6 red balls, 8 green balls, and 10 white balls. If balls are selected one by one (without replacing them after they are selected) what is the probability that at least two balls must be selected in order to get a green ball. g
Answer:
0.43478
Step-by-step explanation:
From the information given:
[tex]The \ required \ probability = P(1st ball = red) \times P(2nd ball = red) + P(1st ball = red) \times P(2nd ball = white) + P(2nd ball = red) \times P(1st ball = white) + P(1st ball = white) \times P(2nd ball = white)[/tex]
[tex]= \dfrac{6}{6+8+10}\times \dfrac{5}{5+8+10} + \dfrac{6}{6+8+10} \times \dfrac{10}{5+8+10} + \dfrac{10}{6+8+10} \times \dfrac{6}{5+8+10} \times \dfrac{10}{6+8+10} \times \dfrac{9}{5+8+9}[/tex]
[tex]=(\dfrac{6}{24}\times \dfrac{5}{23})+ (\dfrac{6}{24}\times \dfrac{10}{23}) +( \dfrac{10}{24}\times \dfrac{6}{23} ) + (\dfrac{10}{24}\times \dfrac{9}{23})[/tex]
= 0.05434782609 + 0.1086956522 + 0.1086956522 + 0.1630434783
= 0.4347826088
≅ 0.43478
Which point is located in Quadrant I?
(shown in pic)
Don’t answer if you don’t know, but if get it right i’ll give brainiest! it’s due soon pls help.
Answer:
c
the top right is quadrant l, the top left is quadrant ll, the bottom left is quadrant lll, and the bottom right is quadrant lV
Which is the graph of arctan(x)?
Answer:
The Inverse Tangent Function (arctan)
Graph of y = tan x.
The graph of arctan(x) is second graph.
We have inverse function [tex]y=tan^{-1} x[/tex]
Creating the table
x 0 π/4 π/2 -π/2 -π/3 π/3
y 0 1 ∞ -∞ -√3 √3
From the given graphs we see that the second graph satisfies the values.
So, the correct graph for arctan(x) is second graph.
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PLEASE HELP!!!!! explain too please
Answer:
8. Not similar
9. Similar
Step-by-step explanation:
8. You could try to us the AA theorem which means that two angles in the triangle are equal, which would mean that the triangles are similar. But 46+58=104 and 180-104=76 so there are not two similar angled between the triangles.
9. You can use the same theorem for this problem (AA). So 106+31=137 and then 180-137=43 which is one of the angles in the second triangle. Since at least two of the angles are equal, you can use AA theorem yo prove they are similar.
Hope this helps!
Answer:
The two triangles in 8 are not similar. The two triangles in 9 are similar.
Step-by-step explanation:
The three angles of all triangles must add up to 180°.
The left triangle in 8 has these angles:
46 58 and (180 - (46+58)) = 76
The right triangle in 8 has these angles:
58 78 and (180 - (58+78)) = 44
So, 46 | 44 and 76 | 78 are dissimilar.
The left triangle in 9 has these angles:
106 31 and (180 - (106+31)) = 43
The right triangle in 9 has these angles:
31 43 and (180 - (31+43)) = 106
But the triangles in 9 all have the same angles: 31 | 43 | 106.
Which number line shows the solution set for |a|=6?
Answer:
the third one
Step-by-step explanation:
the absolute value of -6 is 6
which value if x makes this proportional true? 14/20=56/x A.x=62 B.x=70 C.x=80 D.x=100
==================================================
Work Shown:
Let's cross multiply to get the following
14/20 = 56/x
14*x = 20*56
14x = 1120
x = 1120/14
x = 80
-------------------
As a way to check the answer, we can type 14/20 - 56/80 into the calculator and we should get 0. I'm taking advantage of the rule that if A = B, then A-B = 0. This trick is handy to check if two sides of any equation are equal to one another.
your answer will be 80 pretty sure
Finding Angles By Deg
Determine if the angle described is 'acute', 'obtuse',
1) 180°
2) 46°
3) 53°
Answer:
1) Obtuse
2) Acute
3) Acute
Step-by-step explanation:
Anything under 90 degrees is an Acute angle, while anything above is an Obtuse. A 90 degree angle is a right angle.
Please Brainiest!
9. A machine can make 32 water bottle every 6 minutes. At this rate, how many water bottles can the machine make in 60 minutes? A 92 B 38 с 326 D 320 1
Answer:
320
Step-by-step explanation:
32 bottles in 6 minutes add a 0 so you get 320 bottles in 60 minuts.
Answer:
D 320
Step-by-step explanation:
Since 60 minutes is 10 times 6 minutes, the machine can make 10 time more water bottles in 60 minutes than it can make is 6 minutes.
10 * 32 = 320
Answer: D 320
You can also solve by using a proportion.
32/6 = x/60
6x = 60 * 32
Divide both sides by 6.
x = 10 * 32
x = 320
Answer: D 320
What is the value of y = cos (θ) when θ = π?
Answer:
The cosine function forms a wave that starts from the point (0,1) cos θ = 0 when θ = 90˚, 270˚. Maximum value of cos θ is 1 when θ = 0˚, 360˚.
Step-by-step explanation: