Answer:
We accept H₀, we don´t have enough evidence to claim that the procedure improves the tensile strength above the peviuos average
Step-by-step explanation:
Information:
μ = 2150
Sample size n = 16
Sample mean x = 2160
Sample standard deviation s = 30
a) Test Hypothesis
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x > μ
b) If Tensile strength is approximately normal distribution we should use t-student statistic for testing the above hypothesis.
t(s) = ?? with df = n - 1 df = 15
c) t(s) = ( x - μ ) / s/√n
t(s) = ( 2160 - 2150 ) / 30/√16
t(s) = 10*4 / 30
t(s) = 1,33
d) In t-student we look for p-vale for 1,33 and df = 15
p-value = 0,1
e) If the level of significance is 0,05, then α/2 = 0,025
we compare p-value and level of significance
p-value 0,1 > 0,025
Then p-value is bigger than the significance level, we should accept H₀
g(x) = –24 + 2x3 + 5x2 - 1
End of behavior
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
[tex]bit.^{}ly/3dXyuz8[/tex]
<4and <5 are alternate interior angles. Find the measure of <5
Answer:
115 degrees
Step-by-step explanation:
Since <4and <5 are alternate interior angles, this means that they are equal because alternate interior angles of a geometry are equal. Hence since
<4 = 115 degrees, <5 is also equal to 115 degrees
30 is to 150, like ___ is to 45 A)9 B)400 C)5 D)15
Answer:
D.
Step-by-step explanation:
divide 45 by 3
what kind of angle does an acute triangle have
Answer:
An acute angle is an angle that measures less than 90 degrees. A triangle formed by all angles measuring less than 90˚ is also known as an acute triangle. For example, in an equilateral triangle, all three angles measure 60˚, making it an acute triangle.
hope this answer helps you.....
The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologists based on their academic degree and years of experience. 36 psychologists responded who had a just received their masters degree in 2003. The average was $48,800 with a standard deviation of $16,800.
This question is incomplete, the complete question;
The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologists based on their academic degree and years of experience. 36 psychologists responded who had a just received their masters degree in 2003. The average was $48,800 with a standard deviation of $16,800.
The 95% Confidence Interval is ($, $ )
Answer:
at 95%, confidence interval is ( $43312, $54288 )
Step-by-step explanation:
Given the data in the question;
sample size n = 36
mean x' = 48,800
standard deviation σ = 16,800
at 95% confidence level;
∝ = 1 - 95% = 1 - 0.95 = 0.05
∝/2 = 0.05 / 2 = 0.025
z critical value, [tex]Z_{\alpha/2[/tex] = 1.96
now, confidence interval for population mean is given by the formula
x' ± [tex]Z_{\alpha/2[/tex]( σ/√n )
so we substitute
⇒ 48800 ± 1.96( 16800/√36 )
⇒ 48800 ± 1.96( 2800 )
⇒ 48800 ± 5488
⇒ 48800 - 5488, 48800 + 5488
⇒ ( 43312, 54288 )
Therefore, at 95%, confidence interval is ( $43312, $54288 )
60
VW
The equation BSA = models the relationship between SSA
in square meters, the patient's weight W in kilograms, and the
patient's helght H in centimeters.
a. Solve the equation for H.
Answer:
yo bro idek bro, gimme brainliest
Step-by-step explanation:
There are 1125 members in a mountaineering club. The club's secretary surveys 72 randomly
selected members and finds that 63 members are in favor of holding a used gear sale.
a.
Describe the population and the sample
b. What percent of the members in the ample are in favor of holding a used-gear sale?
С.
Estimate the number of club members who would be in favor of holding a used-gear sale.
Answer:
hmmm
Step-by-step explanation:
not sure man
find the 12th term in the sequence: 1/16, -1/8, 1/4
Answer:
Step-by-step explanation:
hello :
the sequence is geometric because : (1/4)/(-1/8) = (-1/8)/(1/16)=-2 = r
the nth term is : An =A1 × r^(n-1)
a common ratio is : r and A1 the first term
in this exercice : r =2 A1 = 1/16
when : n =12 you have the 12rd term A12
A12 = 1/16 × 2^(12-1) = 1/16 × 2^(11)
Ethan buys a bag of cookies that contains 8 chocolate chip cookies, 7 peanut butter cookies, 7 sugar
cookies, and 7 oatmeal cookies.
What is the probability that Ethan feaches in the bag and randomly selects an oatmeal cookie from the
bag, eats it, then reaches back in the bag and randomly selects a peanut butter cookie? Round your answer
to four decimal places.
Answer:
0.0603
Step-by-step explanation:
probabilty ethan picks an oatmeal and peanut butter cookie = probability of selecting an oatmeal cookie x probability of selecting a peanut butter cookie
probability of selecting an oatmeal cookie = number of oatmeal cookies / total number of cookies
probability of selecting a peanut butter cookie = number of peanut butter cookies / total number of cookies
total number of cookies = 7 + 7 + 7 + 8 = 29
probability of selecting an oatmeal cookie = 7/29
probability of selecting a peanut butter cookie = 7/28
after eating oatmeal cookies, the amount of cookies would reduce by 1
7/29 x 7/28
Please help me with this and fast!
Answer:
16
5
O
I think
Step-by-step explanation:
A class’s test scores are normally distributed if the average score 60 and the standard deviation is 7 choose the spots where the students scoring below 46 and above 74 lie
Answer:
46
Step-by-step explanation:
We are given that a class's test scores are normally distributed with an average score of 60.
We know that the curve of a normal distribution is symmetric about its mean.
60-14=46
60+14=74
Hence, the point 46 lies to the left of the mean and 74 lies to the right of the mean, and the two points have the same function value.
Answer: Look at the picture below
Step-by-step explanation: I got this right on Edmentum
Write an equation of the line that passes through the pair of points. (-2, -3), (4,5)
Answer:
y=4/3x-1/3
Step-by-step explanation:
Can someone help me? I’ll reward points + brainalist (btw only need help with number 5)
Answer:
A. 55°
hope it can help you
solve the system algebraically (using elimation or substitution method)
4x + 5y = 2
x + 2y = -1
Answer:
Equation form: x=3, y=-2
Point Form: (3,-2)
Step-by-step explanation:
Which temperature is warmer: -3 or -4 degrees Celsius?
Answer:
-3
Step-by-step explanation:
Which equation is not equivalent to 2x + 14 = 4x– 6
14 + 6 = 2x
-2x= 20
2x – 4x= -20
X = 10
Anyone know What 4/3 divided by 16 is
Answer:
1/12
Step-by-step explanation:
That's the same as
4/3 * 1/16
3 x 16 = 48
4/48
simplify
1/12
Answer:
4/3 divided by 16 is 0.0833333333333
Step-by-step explanation:
find the solution of the system of equations.
Answer:
(-6,-3)
Step-by-step explanation:
solve using substitution or elimination
Which side lengths form a right triangle?
Choose all answers that apply:
A
5, V6, V31
B
15, 5,50
C 9, 12,15
Answer:
[tex](a)\ 5, \sqrt 6, \sqrt{31[/tex]
[tex](c)\ 9, 12, 15[/tex]
Step-by-step explanation:
Required
Side lengths that form a right triangle
Applying Pythagoras theorem
[tex]a^2 = b^2 + c^2[/tex]
Where a is the longest side.
So, we have:
[tex](a)\ 5, \sqrt 6, \sqrt{31[/tex]
[tex](\sqrt{31})^2 = 5^2 + (\sqrt 6)^2[/tex]
[tex]31 = 25 + 6[/tex]
[tex]31 = 31[/tex]
This forms a right triangle
[tex](b)\ \sqrt 5, \sqrt 5, 50[/tex]
[tex]50^2 = (\sqrt 5)^2 + (\sqrt 5)^2[/tex]
[tex]2500 = 5 + 5[/tex]
[tex]2500 \ne 10[/tex]
This does not form a right triangle
[tex](c)\ 9, 12, 15[/tex]
[tex]15^2 = 12^2 + 9^2[/tex]
[tex]225 = 144 + 81[/tex]
[tex]225 = 225[/tex]
This forms a right triangle
Find the mean of the data in the dot plot below.
Answer:
the mean is 83.6
Step-by-step explanation:
Answer:
The mean is 83.6 cm
Step-by-step explanation:
81 + 83 +84 + 85 + 85 = 416
416 divided by 5 = 83.6
How do I simplify this radical?
Answer:
Step 1: Find the prime factorization of the number inside the radical. Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind. Step 3: Move each group of numbers or variables from inside the radical to outside the radical.
What do kitty cats like to eat for breakfast
Answer:
Mice crispys
Step-by-step explanation:
Has any one done this or have an idea what its even asking?
Answer: Its asking for the combination for the shapes like WXYX (example) ( I think) just search it up because I cant help much
Step-by-step explanation: j
Susan traveled 57.9 miles each day for the past 7 days. How many miles did she travel in all?
Answer:
Simply take the number of miles each day and multiply it by the number of days. 57.9 miles × 7 days = 405.3 miles
Answer: 405.3 miles
Verify that your point from Question 2 is a solution to 2x-y=-12x−y=−1 AND is also a solution to y=5x-5y=5x−5. What does it mean if your point is a solution to both?
(The point is (2,5))
Answer:
(a) Verified
(b) They are simultaneous equations
Step-by-step explanation:
Given
[tex]2x - y = -1[/tex]
[tex]y =5x - 5[/tex]
Required
Verify that: [tex](x,y) = (2,5)[/tex] is a solution
We have:
[tex]2x - y = -1[/tex]
Substitute: [tex](x,y) = (2,5)[/tex]
[tex]2 * 2 - 5 = -1[/tex]
Evaluate all products
[tex]4 - 5 = -1[/tex]
Subtract:
[tex]-1 = -1[/tex]
Because both sides of the equation are equal, then the point is a solution
Also: [tex]y =5x - 5[/tex]
Substitute: [tex](x,y) = (2,5)[/tex]
[tex]5 = 5 * 2 - 5[/tex]
Evaluate all products
[tex]5 = 10 - 5[/tex]
Subtract:
[tex]5 = 5[/tex]
Because both sides of the equation are equal, then the point is a solution
Because the given point is a solution to both equations, then they are simultaneous equation
The values of 60, 62, and 84 were common to both samples. The three values are identified as outliers with respect to the age-group 20 years to 30 years because they are either 1.5 times the interquartile range (IQR) greater than the upper quartile or 1.5 times the IQR less than the lower quartile. Using the same method for identifying outliers, which of the three values are identified as outliers for the age-group 40 years to 50 years
Answer:
Only 60 is an identified outlier
Step-by-step explanation:
Given
Age group: 40 to 50
[tex]Min = 60[/tex] [tex]Q_1 = 70[/tex] [tex]Median= 73[/tex]
[tex]Q_3 = 76[/tex] [tex]Max = 85[/tex]
Conditions for outlier
[tex]Value > Q_3 + 1.5 * IQR[/tex]
[tex]Value < Q_1 - 1.5 * IQR[/tex]
See attachment for complete question
Required
Which of 60, 62 and 84 is an outlier of age grout 40 to 50 years
First, calculate the IQR of group 40 to 50.
This is calculated as:
[tex]IQR = Q_3 - Q_1[/tex]
Where:
[tex]Q_3 = 76[/tex] and [tex]Q_1 = 70[/tex]
So:
[tex]IQR = 76 - 70[/tex]
[tex]IQR = 6[/tex]
Next, is to test the outlier conditions on each value (i.e. 60, 62 and 84)
Testing 60
Condition 1
[tex]Value > Q_3 + 1.5 * IQR[/tex]
[tex]60 > 76 + 1.5 * 6[/tex]
[tex]60 > 76 + 9[/tex]
[tex]60 > 85[/tex] --- False
Condition 2
[tex]Value < Q_1 - 1.5 * IQR[/tex]
[tex]60 < 70 - 1.5 * 6[/tex]
[tex]60 < 70 - 9[/tex]
[tex]60 < 61[/tex] --- True
Because one of the conditions is true, then 60 is an outlier of group 40 - 50 years
Testing 62
Condition 1
[tex]Value > Q_3 + 1.5 * IQR[/tex]
[tex]62> 76 + 1.5 * 6[/tex]
[tex]62 > 76 + 9[/tex]
[tex]62 > 85[/tex] --- False
Condition 2
[tex]Value < Q_1 - 1.5 * IQR[/tex]
[tex]62 < 70 - 1.5 * 6[/tex]
[tex]62 < 70 - 9[/tex]
[tex]62 < 61[/tex] --- False
Because both conditions are false, then 62 is not an outlier of group 40 - 50 years
Testing 84
Condition 1
[tex]Value > Q_3 + 1.5 * IQR[/tex]
[tex]84> 76 + 1.5 * 6[/tex]
[tex]84 > 76 + 9[/tex]
[tex]84 > 85[/tex] --- False
Condition 2
[tex]Value < Q_1 - 1.5 * IQR[/tex]
[tex]84 < 70 - 1.5 * 6[/tex]
[tex]84 < 70 - 9[/tex]
[tex]84 < 61[/tex] --- False
Because both conditions are false, then 84 is not an outlier of group 40 - 50 years
60 - 3d + 20 - 6 = 4d
Drag each tile to the table to multiply
(6x – y)(2x – y + 2).
fill the table
2x -y 2
6x 12^2 -6xy 12x
-y -2xy y^2 -2y
A communications company is building a 30-foot antenna to carry cell phone transmissions. As shown in the diagram
below, a 50-foot wire from the top of the antenna to the ground is used to stabilize the antenna.
Find, to the nearest degree, the measure of the angle that the wire makes with the ground.
Answer:37
Step-by-step explanation: it’s
For soccer season, Cameron wants to buy a new soccer ball, a pair of shorts, and a pair of soccer shoes. The ball costs $4.95, the shorts cost $9.10, and the shoes cost $5.50. Cameron has $2.30. How much more money does Cameron need?
Add the three items he wants to buy:
4.95 + 9.10 + 5.50 = 19.55
Subtract how much he has already:
19.55 - 2.30 = 17.25
He needs $17.25 more