Answer:
I think the answer I think the answer would be 14
To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 35 specimens are buried in soil for an extended period. The maximum penetration (in mils) is then measured for each specimen, yielding a sample mean penetration of 52.7 and a sample standard deviation of 4.8. The conduits were manufactured with the specification that true average penetration be at most 50 mils. Does the sample data indicate that specifications have not been met
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
8 divided by two -thirds of x. PLS SOLVE THIS FOR ME ASAP
Answer:
12 [tex]x[/tex]
Step-by-step explanation:
8 divided by two-thirds of x is
⇒ 8/2/3 × [tex]x[/tex]
⇒ 8 × (3/2) [tex]x[/tex]
⇒ 8×3 [tex]x[/tex] / 2
⇒ 24 [tex]x[/tex]/ 2
∴ 12 [tex]x[/tex]
Write the equation of the line that passes through
the points (-1,2) and (6, 3) in slope-intercept form
% of 400,000 = 100,000
Answer:
25%
Step-by-step explanation:
100,000/400,000 x 100
= 1/4 x 100
= 25%
Hence, 100,000 is 25% of 400,000
Feel free to mark this as brainliest :D
Answer:
x/100 x 400,000 = 100,000
x100 x100
400,000x = 10,000,000
Divide by 400,000 on both sides:
X = 25%
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
18y – 3.x = -90
Answer:
The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of x when y = 0).
In this question:
[tex]18y - 3x = -90[/tex]
Isolating y:
[tex]18y = 3x - 90[/tex]
[tex]y = \frac{3x}{18} - \frac{90}{18}[/tex]
Simplifying the fractions:
[tex]y = \frac{x}{6} - 5[/tex]
The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]
Item 3 Which measurement is equivalent to 1 kilometer? 10 meters 100 centimeters 1,000 meters 1,000 centimeters
Answer:
1,000 meters
Step-by-step explanation:
you want to create a 99 confidence interval with a margin of error of 25 assuming that the population standard deviation is equal to 1.5 what's the minimum size of the Rams Tampa
Answer:
The minimum sample size is 239.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation is equal to 1.5
This means that [tex]\sigma = 1.5[/tex]
Margin of error of 0.25
This means that [tex]M = 0.25[/tex]
What's the minimum size of the sample?
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.25 = 2.575\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.25\sqrt{n} = 2.575*1.5[/tex]
[tex]\sqrt{n} = \frac{2.575*1.5}{0.25}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*1.5}{0.25})^2[/tex]
[tex]n = 238.7[/tex]
Rounding up:
The minimum sample size is 239.
Identify which property is used for: 62 x (-10) = (-10) x 62 *
Answer:
Commutative property of multiplication
Step-by-step explanation:
Properties of Multiplication:
Commutative:
Multiplying two or more factors in a different order.
ex: 2 x 4 x 5 = 2 x 5 x 4
Associative:
Multiplying factors in parenthesis with different grouping. usually to make the problem simpler.
ex: (13 x 4) x 25 = 13 x (4 x 25)
Distributive:
Distributing a multiplicand to factors in parenthesis.
ex: 2(4 - 1) = 2(4) - 2(1)
ex: 2(8+7) = 2(8) + 2(7)
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
the polynomial x^+3x - 1 is a factor of x^3+2x^2-5x-6
Answer:
If its x^2 + 3x - 1 it is not a factor.
Step-by-step explanation:
x^2+3x - 1 is a factor of x^3+2x^2-5x-6?
Try dividing:
x^2+3x - 1 ) x^3 + 2x^2 - 5x - 6( x - 1
x^3 + 3x^2 - x
- x^2 -4x - 6
-x^2 - 3x + 1
- x - 7 <------- remainder.
If 30 men can do a work in 8 days how many men can do the same work in 12 days
Answer:
Step-by-step explanation:
Which product is represented by the model below
Answer:
A. 3/8*2=6/8
Step-by-step explanation:
Think about a whole number as (whole number)/1
(2/1)
Then multiply
3/8*2/1=6/8
Hope that helps!
SOMEBODY PLEASE HELP I NEED THIS ASAP
Answer:
a = 1000 cm²
Step-by-step explanation:
Center square
20 * 20 = 400cm²
------------------------
Triangle side
a = (1/2)(20)(15)
a = 150
There are 4 sides
a = 4 * 150
a = 600 cm²
-----------------------
Total area
a = 400 - 600
a = 1000 cm²
One hundred draws are made at random with replacement from box A, and 250 are made at random with replacement from box B. (a) 50 of the draws from box A are positive, compared to 131 from box B: 50.0% versus 52.4%. Is this difference real, or due to chance
Answer:
Therefore WE accept the Null hypothesis [tex]H_0[/tex] That 50.0% versus 52.4%.difference is real
Step-by-step explanation:
Sample size A [tex]n_a=100[/tex]
Sample size B [tex]n_b=250[/tex]
Positive draw from box A [tex]n_a=50[/tex]
Positive draw from box b [tex]n_b=131[/tex]
Generally the equation for Probability of Positive draw from Box A is mathematically given by
[tex]P_1=\frac{50}{100}[/tex]
[tex]P_1=50%[/tex]
Therefore
[tex]1-P_1=50\%[/tex]
Generally the equation for Probability of Positive draw from Box A is mathematically given by
[tex]P_1=\frac{131}{250}[/tex]
[tex]P_1=52.4%[/tex]
Therefore
[tex]1-P_1=47.6\%[/tex]
Generally the equation for Standard error S.E is mathematically given by
[tex]S.E=\sqrt{\frac{n_1(p_1)*(1-P_1)}{n_1^2}+\frac{n_2(P_2(1-p^2))}{n_2^2}}[/tex]
[tex]S.E=\sqrt{\frac{100(0.50)*(50)}{100^2}+\frac{(250)(0.524(47))}{250^2}}[/tex]
[tex]S.E=0.592[/tex]
[tex]S.E=59.2\%[/tex]
Therefore
[tex]Z=\frac{50-52.4}{59.2}[/tex]
Generally
[tex]P value P>0.05[/tex]
Therefore WE accept the Null hypothesis [tex]H_0[/tex] That 50.0% versus 52.4%.difference is real
HELP ASAPPPP!!!!You are making a picture frame in the craft cabin at summer camp. The frame measures 9 inches by 12
inches. You measure the diagonal and it is 17 inches Is the frame rectangular? Explain your reasoning.
Answer:
yes
Step-by-step explanation:
euhm ... did u just asked if a figure with h=9inches and b=12inches is rectangular???
Does it matter what the diagonals are etc?
if the frame has angles of 90° and it has two different lengths then it has to be rectangular. The sides of a square would have the same lengths.
Which point is the image of point R(4, -7) first reflected across the x-axis and then across the y-axis?
Answer:
(-4, 7)
Step-by-step explanation:
It would be the exact opposite of point R because it was rotated about 180 degrees from it's original location
4(q-5) = 16
help pleaseee
Answer:
q = 9
Step-by-step explanation:
the key thing to understand in this problem is the distributive property. which basically means we can muliply what's on the interior of the parenthestes ( in this case q-5) by what's on the outside (4).
so 4 will distrubute to both the q and the -5
4q - 20 = 16
add 20 to both sides
4q = 36
divide both sides by 4
q = 9
extend pattern 1,4,9
Answer:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100......
Step-by-step explanation:
This is a list of perfect squares.
1 is the square of 1. ( 1 x 1 = 2)
4 is the square of 2. (2 x 2 = 4)
9 is the square of 3. (3 x 3 = 9)
So, the next number would be the square of 4 which is 16 ( 4 x 4)
And so on.
Seven hundred twenty -one thousandths as a decimal
Answer:
0.721
Step-by-step explanation:
the last digit (the number '1') must be in the thousandths place; then work backward so the '2' would be in the hundredths and the '7' would be in the 'tenths'
3. Find the volume of the following figure. 62 units 58 units 60 units) 64 units3
Answer:
60 units
Step-by-step explanation:
Its a 5 × 3 × 4 cube
To find volume multiply the dimensions and you will get 60
Answer:
60 units
Step-by-step explanation:
I did the test.
Find the missing side. X is the hypotenuse 12 and 5 are the legs
Answer:
10.9
Step-by-step explanation:
Given that,
Hypotenuse = 12
One leg = 5
We need to find the another leg. Let it is b. We can solve it using Pythagoras theorem as follows :
[tex]H^2=h^2+b^2\\\\b^2=H^2-h^2\\\\b^2=12^2-5^2\\\\b=10.9[/tex]
So, another leg is 10.9.
a T-shirt increased in price by 1/7 after the increase it was a priced at £56. what was the original price?
A teenager earns $10 for every 600 square feet mowed in addition to $12 for supplies for each lawn he mows. Which function represents y, the teenager’s pay when he mows a lawn that is x square feet in size?
y = 10x + 600
y = 10x + 12
y = 1/60x + 12
y = 1/60x + 1/60
Answer: b
Step-by-step explanation: 600 is the total so, just do 10x and 12
What are the equation and slope of the line shown on the grid ?
F y = 6; slope is zero
G x = 6; slope is zero
H y = 6; slope is 6
J x = 6; slope is undefined
Answer:
The answer is J x= 6; slope is undefined
Step-by-step explanation:
iTS undefined because it's a line
The answer is J
The reason the line is unidentified is because it is going straight up and the slope is unable to be determined.
What is the surface area of the prism?
Step 1: Find the area of the bases (triangles)
A = 1/2 * base * height
A = 1/2 * 16 * 6
A = 48
48 + 48 = 96
Area of the triangles = 96 cm^2
Step 2: Find the area of the sides (rectangles)
A = base * height
A1 = 16 * 12
A1 = 192
A2 = 10 * 12
A2 = 120
120 + 120 = 240
240 + 192 = 432 cm^2
Step 2: Add the areas together
96 + 432
528 cm^2
Hope this helps!! :)
Mr. Assan had 492 tickets left after the movie. He started with 2,009 tickets. How many tickets did Mr. Assan sell?
Answer:
1,517
Step-by-step explanation:
2,009 - 492 = 1,517
The cost of cleaning up pollution in a stream is given by C = 37000 100−p, where C is the cost in dollars to clean p percent of the stream. Find and interpret C(20)
Answer:
$462.5
Step-by-step explanation:
Given the cost function expressed as;
C = 37000/100−p
To get C(20), we will substitute p = 20 into the expression and get C as shown;
C(20) = 37000/100-20
C(20) = 37000/80
C(20) = 462.5
Hence the cost needed to clean 20% of the stream is $462.5
The coordinates for three vertices of a rectangle are (0٫4)٫(8٫4) and (8٫1). What is the coordinates of the fourth vertex ? A : (1٫0) B : (8٫0) ٫ C : (0٫1) D : (0٫8)
Answer:
(0, 1): Answer D
Step-by-step explanation:
The three given vertices are (0٫ 4)٫(8٫ 4) and (8٫ 1). Note that the x-coordinates of two of these are both 8. The remaining x-coordinate of the fourth vertex is 0. Since the figure is a rectangle, there are two sets of parallel sides. If one side is x = 8, the opposite vertical side must be x = 0, since the remaining coordinate is 0. This side is a vertical line segment. The fourth and last vertex is at the intersection of x = 0 and y = 1; (0, 1): Answer D.
Estadística: Luego de entrevistar a diez de los pasajeros que viajaba en el bus que chocó intempestivamente contra un poste, se concluyó que el chofer era inocente. Identifica la población, la muestra, variable y el tipo de variable.
Respuesta:
Población = Todos los pasajeros en el autobús
Muestra = los 10 pasajeros entrevistados
Variable = inocencia del conductor; por tanto es una variable cualitativa
Explicación paso a paso:
La población se refiere a todo el conjunto de observaciones que están relacionadas con un evento o experimento en particular. Aquí, todos los pasajeros del vehículo constituyen la población, ya que nuestra investigación se basa en el vehículo.
La muestra es un subconjunto de la población que generalmente se elige al azar de manera que sea representativa de la población.
La variable que pretendemos medir es si el conductor es inocente o no. Por lo tanto, llamamos a esto la variable medida. Debido a que la culpa o la inocencia no es numérica, se considera una variable cualitativa.
On Tuesday, 4 out of every 10 people who entered a store purchased something. If 8,800 people entered the store on Tuesday, how many people purchased something?
find the radian measure of the angle 55°
Answer:
[tex]55 degree= \frac{\pi }{180}\times55=\frac{11\pi }{36} =0.9599 radians[/tex]
Step-by-step explanation:
[tex]180 degree= \pi radian\\1 degree= \frac{\pi }{180}\\55 degree= \frac{\pi }{180}\times55=\frac{11\pi }{36} =0.9599 radians[/tex]