Answer:
The 99% of a confidence interval for the average maximum HP for the experimental engine.
(536.46, 603.54)
Step-by-step explanation:
Step:-1
Given that the mean of the Population = 540HP
Given that the size of the sample 'n' = 9
Given that the mean of the sample = 570HP
Given that the sample standard deviation = 30HP
Step(ii):-
Degrees of freedom = n-1 =9-1 =8
t₀.₀₀₅ = 3.3554
The 99% of a confidence interval for the average maximum HP for the experimental engine.
[tex](x^{-} - t_{\frac{0.01}{2} ,8} \frac{S.D}{\sqrt{n} } ,x^{2} + t_{\frac{0.01}{2},8 } \frac{S.D}{\sqrt{n} } )[/tex]
[tex](570-3.354\frac{30}{\sqrt{9} } , 570+3.354\frac{30}{\sqrt{9} } )[/tex]
(570 - 33.54 , 570+33.54)
(536.46 , 603.54)
Final answer :-
The 99% of a confidence interval for the average maximum HP for the experimental engine.
(536.46, 603.54)
runs 9 miles in 84 minutes. How many miles does he run per minute?
Answer:
9.33333333333, or 9, or 9.3
Step-by-step explanation:
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.
Please help me I don’t understand and can you tell me how you got the answer
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?
Answer:
20.5
Step-by-step explanation:
Please look at the image
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]
porque es matematicas nos piden buscar la x?
Answer:
Em matemática, costumamos usar a letra “x” para representar a quantidade desconhecida. Mas agora x está em toda parte em nossa sociedade. As pessoas usam “x” para representar algo inexplicável ou desconhecido, como raio-X, arquivo X e i hope that helps :)
Two more than the quotient of a number and 3 is equal to 8.
I need help plz help
Answer:
i think it would be 17
Step-by-step explanation:
sorry if its wrong
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?
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
Need help with this problem!!
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!
PLEASE HELP SO I CAN GO EAT LUNCH!!
Answer:
Average low temp. = 6. The fourth number is 9.
Step-by-step explanation:
To find the average of 7 low temperatures, add them and divide the sum by 7.
Average low temp. = (5 + 8 + 6 + 5 + 10 + 7 + 1) / 7 = 42 / 7 = 6
The mean is the average. Call the missing number x.
There are four numbers, three of which are given. Add all the number, including the unknown x, then divide the sum by 4. The result is 7 (given in the problem).
[tex]\frac{5+7+7+x}{4}=7\\\frac{19+x}{4}=7\\19+x=28\\x=9[/tex]
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,$33,080
Solution :
x [tex]$(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]
2. Find the gross monthly income from this job and calculate your monthly take-home pay.
Monthly take-home pay is your gross monthly income subtracting out taxes. Taxes total to
be about 1/4 of the gross income. Show all work.
Gross monthly income:
Monthly take-home pay:
Answer:
you will need to know what's his gross monthly income and multiply by 25%that will give you the amount of taxes withheld and then subtract that from gross monthly income and that will give you Monthly take home pay.
What is y = 1/2x-3 on a graph??
Attached is a graph showing y=1/2x-3
Find the volume of the prism.
15 mm
B = 43 mm2
mm3
help
Answer:
645 mm^3
Step-by-step explanation:
Volume of a prism = base area x height
43 x 15 = 645 mm^3
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
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
Zak wants to work out the area of this triangle.
14 cm
8 cm
- 12 cm
Here is his working.
12 x 8 = 96 cm
What is wrong with his method?
Help pls show work if needed
Answer: The mode is 12
Step-by-step explanation: It is the most common number in the data set.
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
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
Jasmine is making 4 types of muffins. Each recipe uses 3/4 cup of sugar.
Answer: The answer is 3
which deduction is optional?
a.federal income tax
b. life insurance
c.medicare
d.social security
Answer:
Life insurance
Step-by-step explanation:
The rest are governm taxes
Check all the answers that represent the same level of precision,
O A. 42
OB. 1.1
O c. 23.45
D. 100.6
Answer:
Step-by-step explanation:
the "answer" below is why the brainly community, most of it atleast is shi
PLEASE HELP!! I CANT GET THIS WRONG YALL HELP.....!!!
GIVING BRAINLIEST
Answer:
D)6x^4+3x^3y
Step-by-step explanation:I hope this helps,good luck with everything,have a nice day.
Which input-output rules could describe the same function (if any)? Be prepared to explain your reasoning.
Answer:
Step-by-step explanation:
the 1st and 2nd b/c they are both square the input number
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.)
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.
If 3/x x 4/7= 3/14 work out x
Answer:
[tex] \frac{3}{x} \times \frac{4}{7} = \frac{3}{14} \\ \frac{12}{7x} = \frac{3}{14} \\ 21x = 168 \\ x = \frac{168}{21} \\ x = 8[/tex]
Pears are $1.98 a pounds. How much do 3.5 pounds of Pears cost?
One can of Mountain Dew costs $1.25 in a vending machine.
A 12-pack of Mountain Dew costs $3.49 at the grocery store.
How much money would you save by purchasing a dozen cans of Mountain Dew at the grocery store instead of a dozen at the vending machine?
$2.24
$0.96
$11.51
$12.49
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How much compound interest is earned on a deposit of $6000 at 2.25%, compounded daily for 22 days?
Answer:
Total: $9,789.13
Interest: $3,789.13
Step-by-step explanation:
If you guys help me with this ill give you brainliest
Answer:
The answer is 19.2 miles your welcome
Step-by-step explanation: