Answer:
t(s) > t(c) then t(s) is in the rejection region for H₀.
We reject H₀ we support the claim that the mean penetration is bigger than that of the specifications
Step-by-step explanation:
Sample Information:
sample size n = 35
sample mean x = 52.7
sample standard deviation s = 4.8
spec. true average = 50
Test Hypothesis:
Null Hypothesis H₀ x = 50
Alternative Hypothesis Hₐ x > 50
The standarddeviation of the population is unknown therefore even though we assume distribution is normal we have to use t-student distribution
The alternative hypothesis indicates that the test is a one-tail test, we will test at significance level α = 5 % CI = 95 %
for α = 0.05 t(c) is from t-student -table and with df = 35 - 1
df = 34 t(c) = 1.69
t(s) = ( x - μ ) / s/√n
t(s) = ( 52.7 - 50 ) / 4.8/√35
t(s) = 2.7 * 5.92 / 4.8
t(s) = 3.33
Comparing t(s) and t(c)
t(s) > t(c) then t(s) is in the rejection region for H₀.
We reject H₀ we support the claim that the mean penetration is bigger than that of the specifications
Are M, N, and O collinear? If so, name the line on which they lie.
Answer:
Yes, they lie on the line NP
Answer:
they lie in the line MO
Step-by-step explanation:
What is the outlier for the data set?
19, 19, 27, 21, 77, 18, 23, 29
Answer: 77
Step-by-step explanation:
Electrical power (P) is measured in watts using the formula P = V · I where V is the voltage in volts and I is the current in amperes. If there are 40 volts running to a light bulb of 60 watts, how much current is flowing through the light bulb?
Answer:
1.5 amps
Step-by-step explanation:
P = V.I
60 = 40.I
60/40 = 40.I/40
I = 1.5
If m = 2s and n = (2s - 1) / 3 then what is the value of s form m = n ?
Answer:
[tex]s = - \frac{1}{4} [/tex]
Step-by-step explanation:
For m to be equal to n,
[tex]2s = \frac{2s- 1}{3} [/tex]
Multiply both sides by 3:
[tex]6s = 2s - 1[/tex]
Minus 2s on both sides:
[tex]4s = - 1[/tex]
Divide by 4 on both sides:
[tex]s = - \frac{1}{4} [/tex]
Give y intercepts and x intercepts as shown
Answer:
x-intercept (-3;0) and (1;0)
y-intercept (0;1)
Help me please i need to hand this in
Joey wants to read 2,000 pages by the end of the summer. He has already read 1,250 pages. The rest of his reading will be spread over 5 weeks, and Joey wants to read the same number of pages each week. How many pages will he need to read each week?
Answer:
150 pages
Step-by-step explanation:
want to read 2,000 pages
already read 1,250 pages
Number of pages left to read
= 2000-1250
= 750
Rest of the reading spread over 5 weeks
wants to read same number of pages each week
Number of pages that need to be read each week over 5 weeks
= Number of pages left to read / total number of weeks
=750 / 5
= 150
He will need to read 150 pages a week.
Find QR.
Write your answer as an integer or as a decimal rounded to the nearest tenth.
QR = ___
Answer:
Step-by-step explanation:
take 64 degree as reference angle
using cos rule
cos 64=adjacent/hypotemuse
0.43=QR/10
10*0.43=QR
4.3=QR
2x^+7x - 15= 0 If r and s are two solutions of the equation above and r > s which of the following is the value of r-s?
Answer:
6.5
Step-by-step explanation:
You failed to include the choices
Umm i could use so help :)
If you don't mind
i think it's 16+88 but i was wondering what someone else thought.
Answer: I think your answer is right
Step-by-step explanation:
Help please only correct answers
Answer:
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Step-by-step explanation:
Given the following data;
Present value, P = $300
Interest rate, r = 8%
Number of times, n = 1/4
Note: Future value = 2 * P = 2*300 = $600
Compound interest is generally calculated based on the interest rate on a loan, principal and the accumulated interest gained from previous periods. This interest is compounded for a certain number of times such as daily, weekly, quarterly or annually.
To find how long she would have to invest her money in order to double it, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
What is the equation in slope-intercept form of the
line that passes through the points (-4,2) and
(12, 6)?
Find the value of x that makes m parallel n .
if c. p =rs 100, profit =rs 5, then find profit percent
Answer:Profit Percent =5%
Step-by-step explanation:
Profit Percent is calculated as =Profit / Cost price x 100
Given that Profit=rs 5
Cost price =rs 100
Profit Percent =rs 5/rs 100 x 100
Profit Percent =5%
Express the confidence interval (63.3%, 79.1%) in the form of ˆp ± ME.
___% ± ___%
Answer:
[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]
Step-by-step explanation:
Given
[tex](63.3\%,79.1\%)[/tex]
Required
Express in form of: [tex]p \± ME[/tex]
First, calculate the midpiont (p)
[tex]p = \frac{63.3\% + 79.1\%}{2}[/tex]
[tex]p = \frac{142.4\%}{2}[/tex]
[tex]p = 71.2\%[/tex]
The margin of error (ME) is:
[tex]ME =79.1\% - 71.2\%[/tex]
[tex]ME =7.9\%[/tex]
So, we have:
[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]
6.b.Find the equation of the circle lies on 2x-3y+1=0 and the circle passing through the points (-1,2) and (2,3).
Answer:
(x + 1)² + (y - 7)² = 25Step-by-step explanation:
Perpendicular bisector of the chord connecting the the points (-1,2) and (2,3) is also passing through the center of the circle.
We'll find the equation of the line and solve the system to find the center.
Midpoint of the chord:
((-1 + 2)/2, (2 + 3)/2) = (0.5, 2.5)Equation of the line through chord (-1,2) and (2,3):
m = (3 - 2)/(2 + 1) = 1/3y - 2 = 1/3(x + 1)y = 1/3x + 7/3Perpendicular bisector is:
y - 2.5 = -3(x - 0.5)y = -3x + 4 >> (1)And the given line is:
2x - 3y + 1 = 0y = 2/3x + 1/3 >> (2)Solve the system:
-3x + 4 = 2/3x + 1/3-9x + 12 = 2x + 111x = -11x = -1Find y:
y = -3(-1) + 4 = 3 + 4 = 7The center is (-1, 7)
Find the radius, the distance from center to one of points on circle
(-1, 7) and (-1, 2) 7 - 2 = 5The equation of circle is:
(x + 1)² + (y - 7)² = 5²(x + 1)² + (y - 7)² = 25
Hope This Helps!!!
Hope This Helps!!!Have A GREAT DAY!!!
Please help me answer this
Will give Brainly
Answer:
9.103
10. 77
11.60
12. 6.4
13. 20
14. 36
Step-by-step explanation:
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
180 - (47 + 30) = 103
DEG = 180 - 103 = 77 angles on a straight line equals 180
An equilateral triangle has all 3 sides equal
if the sum of angles in a triangle is 180 degrees, each angle measures 180 / 3 = 60
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
5² + 4² = 41
squareroot of 41 = 6.4
b : √(25² - 15²) = 20
√(60² - 48²) = 36
On Monday the temperature was -5°F. How many degrees below zero was the temperature
Factorise fully 12x + 18y
Answer:
6(2x + 3y)
Step-by-step explanation:
6 is the largest greatest common factor you can take out. As all powers are 1, nothing else can be done.
The factorize form of the expression 12x + 18y is 6(2x+3y)
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 12x + 18y
Twelve times of x plus eighteen times of y
x and y are the variables in the expression
Let us factorize the expression
The Gcd of 12 and 18 is 6
So take 6 as common from the expression
6(2x+3y)
Hence, the factorize form of the expression 12x + 18y is 6(2x+3y)
To learn more on Expressions click:
https://brainly.com/question/14083225
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Find the length of the third side. If necessary, write in simplest radical form. 7 V15
Please explain it ASAP
Answer:
sorry but i don't understand the question
what is the measure of
Answer:
88 degrees
Step-by-step explanation:
Since x and z have the same angel their degrees is the same
Distribute
-3/7 (21x - 7)
Answer:
-9x+3
Step-by-step explanation:
See the steps below:)
Which is the inverse of the following statement?
If the measure of an angle is 90°, then it is a right angle.
Marley has marbles of the same size and shape in a bag. There are 2 green, 5
blue, and 3 red marbles in the bag. Marley picks two marbles without looking.
What is the probability he will pick two red marbles?
a) 3/15
b)1/15
c) 3/50
d) 1/4
Answer:
B.) 1/15
Step-by-step explanation:
10 total marbles3/10 - 1/1 = 2/93/10 × 2/9 = 1/15y is inversely proportional to (x+2)² when x=1, y=2
find y in term of x
please help asap!!
Answer:
y = 18 / (x + 2)²
Step-by-step explanation:
Inversely proportional
y * (x + 2)² = k
when x=1, y=2
k = 2 * (1 + 2)²
k = 18
-----------------------
y * (x + 2)² = 18
Divide both sides by (x + 2)²
y = 18 / (x + 2)²
If 4, m & 9 are in continued proportion. Find the value of m.
Answer:
M =6
Step-by-step explanation:
T2/T1=T3/T2
M/4=9/m
M^2=36
M=+ or - 6
As m is continued ignore - 6
Then get m =6
Helppp meeeeeeeeeeee
Can somebody help me with this question
Answer:
[tex]\text{a) }1,080^{\circ}, \\\text{b) }360^{\circ}, \\\text{c) }135^{\circ}, \\\text{d) }45^{\circ}[/tex]
Step-by-step explanation:
a) The sum of the interior angles of a polygon with [tex]n[/tex] sides is equal to [tex](n-2)180[/tex]. Since an octagon has 8 sides, substitute in [tex]n=8[/tex]:
[tex](6-2)180=\boxed{1,080^{\circ}}[/tex]
b) The sum of the exterior angles for any polygon is equal to [tex]360^{\circ}[/tex].
c) By definition, all regular shapes have equal angles and sides. Since we've found the total sum of the interior angles of an octagon in part a, each interior angle of a regular octagon must be [tex]\frac{1080}{8}=\boxed{135^{\circ}}[/tex]
d) Similar to part c, all regular shapes must have equal angles and sides. From part b, we know the sum of the exterior angles of a octagon is [tex]360^{\circ}[/tex], thus we have [tex]\frac{360}{8}=\boxed{45^{\circ}}[/tex]
Let 0 be an angle such that sec0= -13/12 and cot0<0. Find the exact values of tan0 and sin0.
Answer:
tan 0 = -2.4
sin 0 = 0.42
Step-by-step explanation:
sec 0 = -13/12 => cos 0 = -12/13
cot 0 < 0 => tan 0 < 0
so, the angle is on second quadrant
=> tan 0 = -12/5 = -2.4
=> sin 0 = 5/12 = 0.42
Answer:
Solution given;
Sec θ=-[tex]\frac{13}{12}[/tex]
cotθ< 0,
It lies in second quadrant.
where sin and cosec is positive.
Now
[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]
cosθ=[tex]\frac{12}{13}[/tex]
[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]
b=12
h=13
By using Pythagoras law
p=[tex] \sqrt{13²-12²}=5 [/tex]
Now
exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]
since it lies in II quadrant
tan θ=-[tex]\frac{5}{12}[/tex]
and
sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]
since it lies in II quadrant
sin θ=[tex]\frac{5}{13}[/tex]