Please math , help
You are given the results of measurement of resistors. We are testing the
measurement tool. It will pass the technical control if the mean value will be
in the range [198-202] with standard deviation less than 3 Ohms. Will the tool
pass the technical control?
Answers
Answer:
As both the mean and standard deviation are in the desired ranges, the tool passes the technical control.
Step-by-step explanation:
Mean of the batch:
The mean of the batch is the sum of all values divided by the number of items. So
[tex]M = \frac{199+204+201+197+195+204+200}{7} = 200[/tex]
Mean in the desired interval.
Standard deviation:
Square root of the sum of the difference squared between each term and the mean, divided by the number of items. So
[tex]S = \sqrt{\frac{(199-200)^2+(204-200)^2+(201-200)^2+(197-200)^2+(195-200)^2+(204-200)^2+(200-200)^2}{7}} = 1.18[/tex]
As both the mean and standard deviation are in the desired ranges, the tool passes the technical control.
Related Questions
If you guys help me with this ill give you brainliest
Answers
3.2x6=19.2
Answer:
The answer is 19.2 miles your welcome
Step-by-step explanation:
Which input-output rules could describe the same function (if any)? Be prepared to explain your reasoning.
Answers
Answer:
Step-by-step explanation:
the 1st and 2nd b/c they are both square the input number
A group of hikers starts at an elevation of 2.53 kilometers. When they
stop for lunch, their elevation has increased by 1.24 kilometers. When they
stop to camp, their elevation has decreased by 0.53 kilometer compared to
their lunch stop. Which expressions represent the elevation, in kilometers,
of the group's campsite? Select all that apply.
Answers
What is the distance between the points (-1,2) and (2,3).
Answers
9514 1404 393
Answer:
3.16 ≈ 3.2
Step-by-step explanation:
Put the numbers in the distance formula and do the arithmetic.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((2-(-1))² +(3-2)²) = √(3² +1²) = √10
d ≈ 3.16 ≈ 3.2
The distance rounded to hundredths is 3.16. Rounded to tenths, it is 3.2.
What is y = 1/2x-3 on a graph??
Answers
Attached is a graph showing y=1/2x-3
Find the area of the sector MAG in terms of Pi and approximate to the nearest hundredth
Answers
Answer:
Area of sector MAG = 35.2π unit² (Approx.)
Step-by-step explanation:
Given:
Diameter MP = 26 unit
ARC MG = ARC IP
∠GAI = 30°
Find:
Area of sector MAG
Computation:
Radius = Diameter MP / 2
Radius = 26 / 2
Radius = 13 units
∠MAG = ∠IAP
So,
∠MAG + ∠GAI + ∠IAP = 180
∠MAG + 30 + ∠MAG = 180
2∠MAG = 150
∠MAG = 75°
Area of sector = [θ/360][π][r]²
Area of sector MAG = [75/360][π][13]²
Area of sector MAG = [0.2083][π][169]
Area of sector MAG = 35.2π unit² (Approx.)
Your local school board wants to determine the proportion of people who plan on voting for the school levy in the upcoming election. They conduct a random phone poll, where they contact 150 individuals and ask them whether or not they plan on voting for the levy. Of these 150 respondents, 78 people say they plan on voting for the levy. The school board wants to determine whether or not the data supports the idea that more than 50% of people plan on voting for the levy. Calculate the p-value for the one-sided Hypothesis test described in this example. (Hint: Find the test statistic and then use the tables to find the p-value.)
Answers
Answer:
The p-value for the one-sided Hypothesis test described in this example is 0.3121.
Step-by-step explanation:
Test the hypothesis that more than 50% of people plan on voting for the levy.
At the null hypothesis, we test that the proportion is 50%, that is:
[tex]H_0: p = 0.5[/tex]
At the alternate hypothesis, we test if this proportion is above 50%, that is:
[tex]H_a: p > 0.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.5 is tested at the null hypothesis:
This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]
Of these 150 respondents, 78 people say they plan on voting for the levy.
This means that [tex]n = 150, X = \frac{78}{150} = 0.52[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.52 - 0.5}{\frac{0.5}{\sqrt{150}}}[/tex]
[tex]z = 0.49[/tex]
Pvalue of the test:
The pvalue of the test is the probability of finding a proportion above 0.52, which is 1 subtracted by the pvalue of z = 0.49.
Looking at the z-table, z = 0.49 has a pvalue of 0.6879.
1 - 0.6879 = 0.3121
The p-value for the one-sided Hypothesis test described in this example is 0.3121.
2x^2 + 3x - 12, when x = 5
solve this and I'll give you brainliest.
Answers
2(5)^2 = 400 + 3(5) = 415 -12 = 403
Parts of similar triangles.
If DEF~ JHI, find EF
Answers
Answer:
[tex]EF = 18[/tex]
Step-by-step explanation:
Given
[tex]\triangle DE\ F[/tex] similar to [tex]\triangle JHI[/tex]
Required
Find [tex]EF[/tex]
[tex]\triangle DE\ F[/tex] similar to [tex]\triangle JHI[/tex] implies that:
The corresponding sides are:
[tex]DE \to JH[/tex]
[tex]DF \to JI[/tex]
[tex]EF \to HI[/tex]
[tex]FG \to IK[/tex]
First, solve for x using the following corresponding ratios
[tex]EF : HI = FG : IK[/tex]
This gives:
[tex]x + 8 : 3x - 2 = 9 : 14[/tex]
Express as fraction
[tex]\frac{x + 8 }{ 3x - 2} = \frac{9 }{ 14}[/tex]
Cross multiply
[tex]14(x + 8) = 9(3x - 2)[/tex]
Open brackets
[tex]14x + 112 = 27x - 18[/tex]
Collect like terms
[tex]27x - 14x = 112 + 18[/tex]
[tex]13x = 130[/tex]
Solve for x
[tex]x = 10[/tex]
In the diagram, we have:
[tex]EF = x +8[/tex]
[tex]EF = 10 +8[/tex]
[tex]EF = 18[/tex]
Line P R and Line Q S are diameters of circle T. What is the measure of Arc S R?
50°
80°
100°
120°
Answers
Answer:
100
Step-by-step explanation:
estimate 38.6+4.3 to the nearest 10
Answers
The following is a random sample of the annual salaries of high school counselors in the United States. Assuming that the distribution of salaries is approximately normal, construct a 98% confidence interval for the mean salary of high school counselors across the United States. Round to the nearest dollar. $45,860,$38,860,$64,820,$63,480,$36,710,$50,410,$33,080
Answers
Solution :
x [tex]$(x-\overline x)$[/tex] [tex]$(x-\overline x)^2$[/tex]
45860 -1742.8571 3037551.0204
38860 -8742.8571 76437551.0204
64820 17217.1429 296430008.1633
63480 15877.1429 252083665.3061
36710 -10892.8571 118654336.7347
50410 2807.1429 7880051.0204
33080 -14522.8571 210913379.5918
333220 0.0000 965436542.8571
Sample size, n = 7
Mean = [tex]$\frac{\sum x}{n}=\frac{333220}{7}$[/tex]
= 47602.8571
Variance = [tex]$\frac{(\sum (x- \overline x))^2}{(n-1)}=\frac{965436542.8571}{7-1}$[/tex]
= 160906090
Standard deviation = [tex]$\sqrt{Variance} = \sqrt{160906090}$[/tex]
= 12684.876
a). df = n - 1
= 7 - 1
= 6
Level of significance, α = 0.02
Critical, [tex]$t_c = 3.143$[/tex]
b). Sample mean, [tex]$\overline x = 47602.8571$[/tex]
Sample standard deviation, s = 12684.876
Sample size, n = 7
c). 98% confidence interval = [tex]$\overline x \pm t_c \times \frac{s}{\sqrt n}$[/tex]
[tex]$=47602.8571 \pm 3.143 \times \frac{12684.876}{\sqrt 7}$[/tex]
[tex]$=(32533.96,62671.76)$[/tex]
Which of the following is the product (5y − 3)2?
A. 10y − 6
B. 25y2 − 30y + 9
C. 25y2 − 9
D. 25y2 + 30y − 9
Answers
Answer:
d it is D
Step-by-step explanation:
Given that f(x)=x^2+3x-28f(x)=x
2
+3x−28 and g(x)=x+7g(x)=x+7, find f(x)+g(x)f(x)+g(x) and express the result in standard form.
Answers
9514 1404 393
Answer:
x^2 +4x -21
Step-by-step explanation:
Substitute the given expressions and simplify.
f(x) + g(x)
= (x^2 +3x -28) +(x +7)
= x^2 +(3+1)x +(-28 +7)
= x^2 +4x -21
What is the measure of ZRCP in the figure below?
P
11
D
350
11
R
A. 35°
B. 55°
C. 11°
D. 60°
E. 70°
F. Cannot be determined
Answers
Step-by-step explanation:
the answer is 35 if he want the degree of c in RCD trangle
and if you want the RCD and The PCD deegrees total its 70
Austin checks the temperature at 10:00 p.m. He notices if the temperature
falls by 5 more degrees, it will break the record-low temperature for that date,
which is 26 degrees.
If t = the temperature in degrees at 10:00 p.m., which mathematical sentence
expresses the information above?
O A. t-5 < 26
B. t+ 5 < 26
O C. -5 > 26
O D. t+5 > 26
Answers
Answer:
A. t - 5 < 26°
Step-by-step explanation:
Record low temperature for that date = 26°
Temperature at 10:00 PM = t
A fall in temperature by 5° = t - 5
Thus, this is said would mean the record low temperature would be breaking at this point, meaning the new temperature low recorded will be less than 26°.
In mathematical expression, this is expressed as;
t - 5 < 26°
Pears are $1.98 a pounds. How much do 3.5 pounds of Pears cost?
Answers
Can someone please help me with this I will mark u brilliant
Answers
Answer:
80 is the median
The median is just the number in the middle and since 80 is in the middle the median is 80 hope that helps!
Please look at the image
Answers
Answer:
[tex]r \geqslant - 5 [/tex]
Step-by-step explanation:
[tex]50 - 4r \leqslant 70[/tex]
[tex] - 4r \leqslant 20[/tex]
[tex] \frac{ - 4r}{ - 4} \geqslant \frac{20}{ - 4} [/tex]
[tex]r \geqslant - 5[/tex]
Two more than the quotient of a number and 3 is equal to 8.
Answers
The solution is x=18
Explanation:
Leia, Chewy, Han Solo, and Luke have to cross a bridge. They only have one flashlight, and the bridge can only hold two people at a time. They each take a different length of time to get across the bridge. At any time, a group of two can only move as fast as the group's slowest person. The times that it takes each person to cross the bridge are:
Chewy -- ten minutes
Han Solo -- five minutes
Leia -- two minutes
Luke -- two minutes
How can the four get across the bridge the fastest?
Answers
Answer:
luke and han solo
Step-by-step explanation:
because han solo have the most mins and luke is one of thr 2 mins and that added is 7min
I need to know the answer to this please and thank you, I don’t know how to do this.
Answers
Answer:
A= 30 sq feet
? = 5 feet
Step-by-step explanation:
if the total area is 104 square feet and we know where 44 square feet of that is accounted for that leaves 60 square feet so both A sections are equal so we can divide 60 by 2 to get 30 square feet. So "A" is 30 square feet.
to get "?" we need to find the other measurement for the 10 square foot sections, the easiest way to find that is 10 divided by 2 ( which is the measurement we already have), once we do this we get 5 feet, and because 5 feet is the height measurement for that part of the net diagram we know that the "?" will need to be 5 as well because it is also a height measurement.
Check all the answers that represent the same level of precision,
O A. 42
OB. 1.1
O c. 23.45
D. 100.6
Answers
Answer:
Step-by-step explanation:
the "answer" below is why the brainly community, most of it atleast is shi
Need help with this problem!!
Answers
Answer:
Area:
4 x 4 = 16
Finding area of semi circle:
4 is your diameter so half of it is your radius which is 2 since half of 4 is 2!
2^2<---your radius being squared = 4
4(radius squared) x 3.14(pi) = 12.56
12.56 divided by 2 since its a semi circle is = 6.28
6.28 + 16 = 22.28 is your area
Perimeter is:
4 + 4 + 4 (all sides of a square are equal therefore one or two given lengths will be all the sides) = 12
Circumference:
Radius is 2,
2(you just always have to multiply this number when finding circumference) x 3.14(pi) x 2(radius), 2 x 3.14 x 2 = 12.56
12.56 divided by 2 = 6.28
6.28 + 12 = 18.28 is your perimeter.
Just a refresh:
Circumference Formula:
2(always use this number when finding circumference) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius
Area of a Circle Formula:
Radius squared x pi(3.14 or 22/7 whatever they tell you to use for pi)
Another thing you should remember:
Whenever it gives you 1/4 of a circle or 1/3 or a semi circle or any fraction, REMEMBER TO DIVIDE BY THAT DENOMINATOR TO WHAT YOU GET FROM EITHER CIRCUMFERENCE OR AREA OF A CIRCLE!
A student wants to report on the number of movies her friends watch each week. The collected data are below: 2 14 1 2 0 1 0 2 Which measure of center is most appropriate for this situation and what is its value? (4 points) a Median, 1.5 b Median; 3 c Mean, 1.5 d Mean; 3
Answers
Answer:
The best measure of center for a set of data is the median value.
To find the median list the values from
Smallest to largest:
0, 0, 1, 1, 2,2, 2, 14
Since there is an even number of values, find the middle two numbers, add them together and divide by 2:
1+2 = 3
3/2 = 1.5
The answer is median 1.5
Step-by-step explanation:
plz brain list
PLEASE HELP!! I CANT GET THIS WRONG YALL HELP.....!!!
GIVING BRAINLIEST
Answers
Answer:
D)6x^4+3x^3y
Step-by-step explanation:I hope this helps,good luck with everything,have a nice day.
What is (5b + 3x)(5d-3b)
Answers
1+1=?,
Plz Helppp meeeeeeeeeeeeeeeeeee
Answers
Answer:
2 is teh answer
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Please help me I don’t understand and can you tell me how you got the answer
Answers
Answer:
9
Step-by-step explanation:
to find the whole number of this fraction all you have to do is do the top number divided by the bottom so... 36 ÷ 4 = 9 and we get 9 Hopefully that helps!
In a lab experiment, 490 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 6 hours. How long would it be, to the nearest tenth of an hour, until there are 5210 bacteria present?
Answers
Answer:
20.5
Step-by-step explanation: