The amount of time required for an assembly line worker to complete a repetitive task is measured using a time and motion study.
According to the data, the average time it takes to move apart from the bin to its place on a car's chassis is 11 seconds, while the standard deviation is 2 seconds.
If XX and YY are independent, the property mean and variance are as follows: X 1 = 11; sigma_X_1 = 2, X 1 = 2, mu_X_2 = 20, X 2 = 20, sigma_X_2 = 4, and X 2 = 4.
aX+bY = a X + b Y; sigma_aX+bY = a X + b Y; aX+bY 2 = a 2 X 2 + b 2 Y 2; and finally, we have the following results:
X 1 + X 2 = X 1 + X 2 = 11+20=31 sigma_X_1+X_2=sqrtsigma_X_1+sigma_X_2=sqrtsigma_X_1+sigma_X_2=sqrtsigma_X_2=sqrtsigma_X_2=sqrtsigma_X_2=sqrtsigma_X_1+
The value reduced by the mean and divided by the standard deviation is the z-score:
z=\dfrac{x-\mu} {\sigma} =\dfrac{30-4.4721} \approx - 0.22
z=σx−μ =4.472130−31
≈−0.22
Decide the relating esteem utilizing table A:
P (X_1+X_2 30) = P(Z-0.22) = 0.4129 P (X 1 30) = P(Z-0.22) = 0.4129
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Pls Help!
Lauren got $321 from various relatives on her birthday. If she wants to put 20% of the money into her savings account, how much will she have left over to spend on new clothes?
Answer:
$64.20 saved
$256.80 spend on clothes
Step-by-step explanation:
321.00 x 0.20 = $64.20 saved
321.00 - 64.20 = $256.80 spend on clothes
Answer is $256.08
$321 - 20% = $256.08
9. Four people are running for sheriff. A survey was randomly conducted in the countyand the results were recorded in the graphIf there are approximately 5,000 registered voters, how many more volers would be expected to vote for Ben than for Scott?
A.) 4
B.)210
C.)500
D.)400
Answer:
D.) 400
Step-by-step explanation:
I started by adding all the votes together
4+4+17+21=46
I then rounded 46 up to 50 to make the next step easier
I divided 5000 by 50 and got 100.
With that information, I can now multiply each original vote by 100 to make them more realistic to the number of voters (5000)
4*100=400
4*100=400
17*100=1700
21*100=2100
Now Ben has 2100 votes while Scott has 1700
Subtract 1700 from 2100 and you get 400
So Ben is expected to get approx. 400 more votes than Scott.
Hope I helped!! Maybe Brainliest answer?
Jim caught 15 fish over course of 3 days. After 4 days how many total fish will Jim have caught?
Answer:
20
Step-by-step explanation:
15 divided by 3 is 5
15 over 4 days = 20
triangle: solve for x
Answer:
6 root two
Step-by-step explanation:
geometric mean for leg t.
24*3=x2
x2=72
x=root(72)
6 root two
if my answer helps please mark as brainliest.
HELP ME ASAP!!!! I’m very confused and I need help!! Thanks!
Answer:
Reason 2)The transitive property of congruenceStep-by-step explanation:
There are several sort of "obvious" properties of equality/congruence. Keeping them sorted out can be a bit of a trick.
A = A . . . . reflexive property
A = B ⇔ B = A . . . . symmetric property (erroneously cited in the proof)
A = B, B = C ⇒ A = C . . . . transitive property (the one needed in the proof)
__
Not to confuse the issue, but there is also the "substitution property of equality" that says if X = Y, then X can be substituted for Y or vice versa. In the end, the transitive property is an application of this, where we're substituting for B in the second equation, or for A in the first equation.
The A=B=C form of Statement 1) in the proof is what gives you the clue it is the transitive property that is wanted here.
Can someone help me with this
Answer:
its red
Step-by-step explanation:
math. lol
Write 108 in exponential form using only prime numbers as a base
Find the measurements of the numbered angles in each kite
Answer:
∠1 = 23°
∠2 = 23°
Step-by-step explanation:
Find the values of the variable In The figure
Answer:
A. 18
Step-by-step explanation:
Sum of the measures of all the angles of a quadrilateral is 360°
Therefore,
[tex]2m \degree + 8m \degree + 6m \degree + 4m \degree = 360 \degree \\ 20m \degree = 360 \degree \\ 20m = 360 \\ m = \frac{360}{20} \\ m = 18[/tex]
Find the side length of a square with an area of 1521 m².
Answer:
39
Step-by-step explanation:
a=A=1521=39
If an object travels at 2 feet per second, how many feet does it travel in 3 hours?
Object will cover 21600 feet in 3 hours.
What is distance?
Distance is defined as the product of the speed and time.
The distance an object travelled is measured in distance per second here.
So, let us convert the hours into seconds to arrive at our answer.
One hour = 60 minutes = (60×60) seconds = 3600 seconds.
The object travels 2 feet for every second.
Then, total distance covered in 3 hours is
2×3×3600 = 21600 feet.
Hence, object will cover 21600 feet in 3 hours.
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PLEASE HELP!
The equation of a parabola is y=1/2x^2+6x+23.
What is the equation of the directrix?
y = 5.5
y = 4.5
y = 2
y = 0.5
Answer:
Step-by-step explanation:
y = ½x² + 6x + 23
= ½(x² + 12x) + 23
= ½(x² + 12x + 6²) - ½(6²) + 23
= ½(x+6)² + 5
vertex (-6,5)
focal length = 1/(4∙½) = ½
directrix: y = 5-½ = 4.5
Answer: y=4.5 Just confirming
Step-by-step explanation:
Just a test good luck
Last year, scientists claimed there were 10,000 different species of ants around the world. Since then, the number of different species have decreased by 5.1%. How many different species of ants are estimated currently?
help what's the correct answer and how did u get it
Answer:
9490.
Step-by-step explanation:
First you take 5.1% of 10,000 which is 510 and then you do 10,000-510= 9490.
Hope this helps!
Un círculo tiene una circunferencia de 18.4 m. Determina el valor del radio. (Utiliza el valor de π = 3.14)
Answer: 2.92
Step-by-step explanation:
De la circunferencia del círculo, se encuentra que su radio es de 2.93m.
El circunferencia de un círculo de radio r es dada por:
[tex]C = 2\pi r = 2(3.14)r = 6.28r[/tex]
En este problema, la circunferencia es de 18.4. Así, es posible aplicar la fórmula de la cincumference para encontrar su radio, puesto que [tex]C = 18.4[/tex].
[tex]C = 6.28r[/tex]
[tex]6.28r = 18.4[/tex]
[tex]r = \frac{18.4}{6.28}[/tex]
[tex]r = 2.93[/tex]
El radio es de 2.93m.
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Consider the functions f(x) = 2x + 1 and g(x) = x^2 - 10. What is the value of f[g(3)]?
Answer:
f[g(x)]= 2(x^2-10)+1
2x^2-20+1
f[g(3)]=2(3)^2-20+1
18-20+1
18-19=-1
PLEASEEEE I NEED IT ASAP 51 POINTS IS THE MAX I CAN GIVE PLEASEEEEE HELP ME
Answer:
A
Step-by-step explanation:
2(10+7)
2(17)
=34
Answer:
the answer is a
Step-by-step explanation:
10 times 2 plus 7 times 2=34
How can I solve this quadratic using the square root properly?
Answer:
x = +3
Step-by-step explanation:
4x² = 36
sqareroot both side we get,
√4x² = √36
2x = 6
x = 6/2
x = +3
Thus, The answer is +3
-TheUnknownScientist
Answer:
4x^2 = 36
________ x^2 = 9. square root of 9
4. = 4. x = 3
Step-by-step explanation:
Divide both sides by 4 to isolate the square root.
So, you will end up with x^2 = 9
then take the square root of 9,
square root of 9 is 3.
So x = 3
Mr. Thorbes bought a new journal for his poetry. If the journal normally cost $22 but was on sale for 20% off, how much did Mr. Thorbes save?
Answer:
He would save $4.40
Step-by-step explanation:
And in total he would pay 17.60
I solved this quadratic using the square root property. I did it 2 ways but I am not sure which one is correct.
Answer:
it's your second answer: )
Answer:
the one on the right
Step-by-step explanation:
:) s s
A group of friends were working on a student film that had a budget of $640. They spent all their budget on equipment and props. They used 15% of their budget on props. How much money did they spend on equipment?
Identify each sample as biased or unbiased and describe its type. Explain your reasoning.
PLEASE ANSWER PROPERLY AND NOT JUST TO GET POINTS OR ELSE I WILL REPORT YOU! DO NOT PUT A LINK THAT I HAVE TO DOWNLOAD. ALSO STATE WHICH ONE(S) YOU ARE DOING THANKS! <3
2. To determine the theme for the homecoming dance, the homecoming committee surveys one classroom.
6. To determine the quality of a new cell phones coming off an assembly line, the manager chooses one cell phone every 20 minutes and checks it.
8. To determine whether a candidate for a governor is popular with the voters, 30% of the citizens in each pf the 254 countries are surveyed.
AGAIN THANK YOU!
Answer:
2. biased because they're only surveying one classroom and not more
6. unbiased because I'm assuming the manager is using a different phone every 20 minutes
8. unbiased because he they surveyed many countries
Step-by-step explanation:
hope this helps sorry if incorrect have a good rest of your night/day :) ❤
can I please get brainliest
The scatter plot shows the number of sport Utility vehicles
sold in a city from 2005 to 2010. Based on the scatter plot,
which is the best prediction of the number of sport utility
vehicles that will be sold in 2011?
Answer:
this answer wont help but please give it 5 stars. Brainly keeps bombarding me with ads. please help sos
Step-by-step explanation:
How many times greater is 6,680 than 668
Answer:
10
Step-by-step explanation:
668 x 10 = 6,680
The tenants in an apartment building voted on whether to places couches in the lobby of the building. The number of votes for placing couches in the lobby was 765. The number of votes against placing couches in the lobby was 1,785. What percent of the voters were in favor of placing couches in the lobby of the building.REEEEE
A.20%
B.25%
C.30%
D.35%
What is the ratio in simplest form between the length of a side in ABCD and the length of its corresponding side in WXYZ?
a.2\3
b.1\2
c.3\4
d.6\5
Answer:
The Answer would be C) 3/4
Step-by-step explanation:
If you subtract a quarter of the number presented on right left hand on the picture you get the numbers presented on the left hand side of the picture shown. There fore the ratio is 3/4 or three quarters of the already existing number.
Calcular el valor de la fuerza que se debe aplicar para dezlisar un bloque de la siguiente figura a velocidad constante, si tiene un peso de 150 N y al coeficiente de friccian dinamico es de 0.3
Answer:
azsdfghjkljhgfdsasdfghjm,.
Step-by-step explanation:
If f(x) = 2x +1 and g(x) = 3x + 4 , write down (f+g) (-3)
A. -10
B. 15
C. -15
D.
10
Answer:
A
Step-by-step explanation:
(f + g)x = 2x + 1 + 3x + 4 Collect like terms
(f + g)x = 5x + 5
(f + g)(-3) = 5(-3) + 5
(f + g)(-3) = -15 + 5
(f + g)(-3) = - 10
A
Find a number such that the sum of the number and its reciprocal is 65/8.
Answer:
Let the number be x
Since sum of a number and its reciprocal is 65/8 so we have
x+1/x=65/8
8x^2+8=65x
8x^2-65x+8=0
8x^2-64x-x+8=0
8x(x-8)-1(x-8)=0
(8x-1)(x-8)=0
x=8,1/8
So the numbers are 8 or 1/8
Please mark as brainliest for further answers :)Apples weighing 30 pounds are placed in a crate that weighs p pounds. Which equation can
be used to find t, the total weight of both the crate and the apples in pounds?
A. t=30p
B. t=p+30
C. t=p-30
D. t=30-p
A survey conducted by the U.S. department of Labor found the 48 out of 500 heads of households were unemployed. Compute a 99% confidence interval for the proportion of unemployed heads of households in the population. Round to three decimal places. (make sure to type a zero in front of the decimal place ie. 0.1 vs .1 otherwise your answer will be marked incorrect) Lower limit
Answer:
99% Confidence interval is given as;
Lower Limit = 0.062
Upper Limit = 0.130
Step-by-step explanation:
Given the data in the question;
x = 48
n = 500
sample proportion p = x/n = 48/500 = 0.096
with 99% confidence
significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.01 / 2 = 0.005
Critical Z-value = [tex]Z_{\alpha /2[/tex] = [tex]Z_{0.005[/tex] = 2.576
Now,
Standard error of p : SE = √[ (p × ( 1 - p) / n ) ]
we substitute
SE = √[ (0.096 × ( 1 - 0.096) / 500 ) ]
SE = √[ (0.096 × 0.904) / 500 ]
SE = √[ 0.086784 / 500 ) ]
SE = 0.0131745
so
Margin of Error E = [tex]Z_{\alpha /2[/tex] × SE
E = 2.576 × 0.0131745
E = 0.0339
Now 99% confidence interval will be
⇒ 0.096 ± 0.0339
⇒ (0.096 - 0.0339, 0.096 + 0.0339 )
⇒ ( 0.062, 0.130 )
Lower Limit = 0.062
Upper Limit = 0.130