Answer:
Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers
Step-by-step explanation:
The given data is
Sample1 mean = x1` = 289.3
Sample 1 size = n1= 10
Sample 1 std. dev= s1= 22.5
Sample2 mean = x2` = 321.5
Sample 2 size = n2= 16
Sample 2 std. dev= s2= 21
1)Formulate the null and alternate hypothesis as
H0: σ₁=σ₂ against the claim Ha: σ₁ ≠σ₂
2)The test statistic is
t= (x1`- x2`) / √ s1²/n1+ s2²/n2
where degrees of freedom = d.f=
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
3) the significance level chosen is ∝= 0.05
4) Calculating the d.f
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= [21²/10 + 22.5²/16] / [(21/²10)² /9 + (22.5²/16)²/15]
= 18
5) the critical region for ∝= 0.05 for 18 d.f = ±2.101 for two sided test
6) t= (x1`- x2`) / √ s1²/n1+ s2²/n2
t= 289.3- 321.5/√21²/10 + 22.5²/16
t= -32.2/√44.1+31.64
t= -32.2/8.0729
t= -3.9886
7) Conclusion
Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers
The current population of the Earth is estimated to be about 7,440,000,000 people. Express this number using scientific notation.
Answer:
7.44 × 10⁹
Step-by-step explanation:
You would take a decimal point from the last zero to in-between 7 and 4 and see how many places you moved it then write the scientific formula.
9 spaces so it would be 7.44 × 10⁹
The scientific notation of the current population of the Earth will be;
⇒ 7.44 × 10⁹
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The current population of the Earth is estimated to be about 7,440,000,000 people.
Now,
Since, The current population of the Earth = 7,440,000,000 people
Hence, The scientific notation of the current population of the Earth is written as;
⇒ 7,440,000,000
⇒ 7.44 × 10⁹
Thus, scientific notation of the current population of the Earth is,
⇒ 7.44 × 10⁹
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N+ 16
What is the value of the expression when N = 36 ?
Answer:
52
Step-by-step explanation:
Max used 3 7/8 pounds of yellow potatoes and 2 5/8 pounds of sweet potatoes to make a potato salad. How many more pounds of yellow potatoes than sweet potatoes did Max use?
Step-by-step explanation:
[tex]\tt{}3 \frac{7}{8} - 2 \frac{5}{8} [/tex]
[tex]\tt{}(3 -2) + ( \frac{7}{8} - \frac{5}{8} )[/tex]
[tex]\tt{}1 + \frac{1}{4} [/tex]
[tex]\tt{}1 \frac{1}{4} [/tex]
[tex]\tt{} \frac{5}{4} [/tex]
[tex]\tt{}1.25[/tex]
Determine without converting the form and leave your answer in the form a+bi, where a,b ∈R
[tex]i^2^1(i+2)(i-3)\\\\\\\frac{(1+2i)(3+i)}{-2+i}[/tex]
The expression is in the form of a+bi where a,b ∈R. where, a = [tex]\frac{29}{5}[/tex]and b = [tex]\frac{-41}{5}[/tex] therefore, The complex number is [tex]\frac{29}{5}[/tex] [tex]-\frac{41i}{5}[/tex].
Given expression is:[tex]\frac{(i+2)(i-3)((1+2i)(3+i))}{(-2+i)}[/tex]
To simplify the above expression, first, we need to expand all the terms in the brackets which are given above.
We get,= [tex]\frac{(i^{2} - i*3 + 2i - 6) * (3 + i + 2i + 2i^{2} )}{(-2+i)}[/tex]
We know that i² = -1 and i²² = 1 and i*3 = 3i.
Therefore, the above expression becomes=[tex]\frac{(-1 -3i + 2i - 6) * (3 + i + 2i - 2)}{(-2+i)} =\frac{(-7 - i) * (5 + 3i)}{(-2 + i)}[/tex]
Now, we need to simplify the above expression by multiplying the numerator and denominator by the conjugate of the denominator.
Conjugate of -2 + i = -2 - i
Therefore, the expression becomes=[tex]\frac{(-7 - i) * (5 + 3i)*(-2 - i)}{((-2 + i)*(-2 - i))} = \frac{(-7 - i) * (5 + 3i)*(-2 - i)}{(4 + 1)} = \frac{(29 - 41i)}{5}[/tex]
The expression is in the form of a+bi where a,b ∈R. where, a = [tex]\frac{29}{5}[/tex]and b = [tex]\frac{-41}{5}[/tex]
Therefore, The complex number is [tex]\frac{29}{5}[/tex] [tex]-\frac{41i}{5}[/tex].
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What is the missing angle
Answer:
50
Step-by-step explanation:
30 + 100 = 130
130 + 50 = 180
all triangles are 180 degrees, so add it up and subtract.
Answer:
50 degrees will be your answer
Step-by-step explanation:
180-(30+100)=50
180 degrees is the whole angle of a triangle. so we subtract the two sides.
. The figure below shows a circular
driveway. What is the area of the
driveway?
Answer:
C
Step-by-step explanation:
A= πr squared
D=r*2
r=24
π=3.14
A= π(24 * 24) = 576
A= π576
A=10808.64
A=10808.6
There are 20 houses on Rainbow Street. 45% of the houses have holiday decorations in their yard. How many houses have decorations?
Answer:9
Step-by-step explanation:
Which segment is the MEDIAN of the triangle?
Answer:
R
Step-by-step explanation:
PLS HELP PLS PLS PLSPLS HELP WILL BE SO GRATEFUL I WILL DEFINETLY GIVE BRAINLIEST NO ONE HAS BEEN HELPING ME IVE BEEN ASKING FOR 2 DAYS PLSSSS :(
Niamh runs 6 km in 30-minutes what is the average speed in km h
Answer:
12 km/hr
Step-by-step explanation:
The average speed is 12 km/hr.
It is to find the average speed in km /h.
What is speed?Speed is measured as the ratio of distance to the time in which the distance was covered.
Given that :
Distance covered by Niamh = 6 km
Time =30minutes=30/60hour
=1/2hour
∴ The average speed=Total distance/Total time
The average speed=6*2/1
The average speed=12 km/hr.
So, the average speed is 12 km/hr.
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Determine the location of a' after the image
has been dilated with a scale factor of 2
Do the following conditions make a unique triangle, more than one triangle or no triangle possible help
Answer:
No triangle possible since the lines need to attach, hope this helps :)
Step-by-step explanation:
58% of a $148 selling price goes toward paying expenses. How many dollars of the selling price is profit?
Answer:
62.16
Step-by-step explanation:
A company that manufactures tires produces a tire that has average life span of 65,000 kilometers with a standard deviation of 5,200 kilometers. The distribution of the life spans of the tire is normal. What percent of the tires last at least 60,000 kilometers ?
Answer:
=> P(X <= 62500) = P((X-mean)/sd < (62500-65000)/3000)
= P(Z < -0.8333)
= 1 - P(Z < 0.8333)
= 1 - 0.7967
= 0.2033
=> P(X > 68500) = P(Z > (68500-65000)/3000)
= P(Z > 1.1667)
= 0.1210
=> P(60500 < X < 69500) = P((60500-65000)/3000 < Z < (69500-65000)/3000 )
= P(-1.5 < Z < 1.5)
= 0.8664
=> for P(X < x) = 0.03, for Z = -1.88
X = mean + Z*Sd = 65000 - (1.88*3000) = 59360
Step-by-step explanation:
I'm not sure if that correct , I really try my best to help
The required percent of tires last at least 60,000 kilometers is about 91%.
What is the standard deviation?The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation,
To solve this problem, we need to use the standard normal distribution. This is a special type of normal distribution where the mean is 0 and the standard deviation is 1. We can use this to standardize the tire life spans by subtracting the mean (65,000 km) and dividing by the standard deviation (5,200 km).
This gives us a standard normal distribution with a mean of 0 and a standard deviation of 1, and we can use a table or calculator to find the probability of a tire lasting at least 60,000 kilometers.
To do this, we need to find the probability that a tire lasts less than 60,000 kilometers and subtract this from 1. This probability is:
P(tire life < 60,000 km) = P(z < (60,000 - 65,000) / 5,200)
Where z is the standardized tire life span, and the probability is calculated using the standard normal distribution.
Calculating this, we find that P(tire life < 60,000 km) = P(z < -1.346) = 0.0913
Therefore, the probability that a tire lasts at least 60,000 kilometers is 1 - 0.0913 = 0.9087 or about 91%.
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ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
[tex] \sqrt{18 } is \: a \: \: answer \: pls \: follow \: me[/tex]
Answer:
Step-by-step explanation:
-3i Square root of 2
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
Step-by-step explanation:
║( - 5, 3 )║ = √34
12. Draw an acute scalene triangle. Describe
the angles and sides of the triangle.
show
work.
7. carmen estimates that deductions from his gross pay will be 25%. assuming the weekly gross pay is $229.22, carmen can expect the weekly paycheck to be $_________.
Amount of deduction
25% of 229.22229.22/4$57.3Net pay check
229.22-57.3$171.92Answer:
$171.92
Step-by-step explanation:
Given information:
Weekly gross pay = $229.22Gross pay is the pay received before any deductions are taken.
Therefore, if 25% of deductions are taken from the given gross pay, the net pay will be 75%, since 100% - 25% = 75%.
Therefore, to calculate the expected weekly paycheck, find 75% of the gross weekly pay:
75% of $229.22
= 0.75 × 229.22
= 171.915
= $171.92
An animal shelter has dogs and
cats. There are 5 times as many
dogs as cats. There are 42 animals
in total.
How many dogs are at the
shelter?
Answer:
(2/3,10/3)
(.667,3.333)
Step-by-step explanation:
y=5x,x+y=4
Answer:
Your answer is 8 dogs
Step-by-step explanation:÷
42 ÷ 5 = 8.4 = 8
I hope this helps
have a nice day/night
mark brainliest please :)
Yuri and Nathan both made posters. Yuri made 1,272 copies of his poster. Nathan made 325 copies of his poster. How many more copies did Yuri make than Nathan?
Answer:
Yuri made 947 more copies than Nathan.
Step-by-step explanation:
Since we are finding the difference from the amount Yuri and Nathan made, the operation is subtraction. Since Yuri made more copies, his number will go first: 1272-325. Then, we solve by subtracting the two numbers, and you should get 947.
Thus, Yuri made 947 more copies than Nathan.
Find the value of 24/25 divided by 2/5. Show your reasoning.
Answer:
12/5 or 2 2/5
Step-by-step explanation:
Multiply by the reciprocal then reduce the numbers with the greatest common factor, leaving 12/25*5 then multiply that and get your answer
Alam Subscribes to a website for processing her digital pictures The Subscription is 5.95 Per month and each 4 x 6 photo cost $.19 each. If she has a total of $15.83 in her website account, How many photos did she print at least?
Group of answer choices {select all that apply}
52 or more
52 or Less
77 or more
As many as she wants
Answer:
77or more
Step-by-step explanation:
Find the surface area of WILL GIVE BRAINLIEST FOR THE FIRST TO ANDWER CORRECTLY
the pyramid. Round to the nearest tenth if necessary
12.2 m
16 m
10.6 in.
12.2 m
12.2 m
Using the Zero Factor Property, solve (2x + 1)(x - 6) = 0.
Answer:
1 2/3 or 1.67
Step-by-step explanation:
(2x+1)+(x-6)=0
Remove parenthesis.
2x+1+x-6=0
Rearrange to make life temporarily easier.
2x+x+1-6=0
Now combine like terms.
3x-5=0
Add 5 to cancel it out.
3x-5=0
+5 +5
3x=5
Divide 3 from both sides to cancel that out.
3x=5
/3 /3
x=5/3 or 1 2/3
So the answer is 1 2/3 or 1.67
---
hope it helps
John shared 3 cookies with 4 friends. What fraction of a cookie did each friend recieve?
Answer:
0.75 .................
You want to be able to withdraw $40,000 each year for 15 years. Your account earns 9% interest. How much
do you need in your account at the beginning?
Answer:
40000×1×9%=3 600 this is for year
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
∠2=67°
Step-by-step explanation:
Angles along a straight line add up to 180. Therefore:
∠1+∠2=180
113+∠2=180
∠2=180-113
∠2=67°
Given f(x) = 13x - 9, find (f(x + h) - f(x))/h and simplify the result.
Answer:
13
Step-by-step explanation:
Given
f(x) = 13x - 9 , then
[tex]\frac{f(x+h)-f(x)}{h}[/tex]
= [tex]\frac{13(x+h)-9-(13x-9)}{h}[/tex]
= [tex]\frac{13x+13h-9-13x+9}{h}[/tex]
= [tex]\frac{13h}{h}[/tex]
= 13
I will mark brainliest!!!Use the coordinate grid to determine the coordinates of point A A. What are the coordinates of point A?
Answer:
(-1/4, 1 3/4)
Step-by-step explanation:
The first thing to look at is the scale of the grid. To do that, look at the x-axis (horizontal). The space between 0 and 1 has been divided into 4 equal parts, so each part (square) is worth 1/4 in the horizontal directio.
The scale on the y-axis (vertical) is similar. Again, the space between 0 and 1 is divided into 4 equal parts, so each square represents 1/4 in the vertical direction.
To get to point A, begin at the origin, then go left one space. The x-coordinate of point A is -1/4. Now go up to point A, moving up through 7 spaces. The y-coordinate of point A is 7/4 = 1 3/4.
finding missing angles in triangles worksheet answers house
Step-by-step explanation:
What exactly are you looking for?