Answer:
1 and 3
Step-by-step explanation:
The batteries produced in a manufacturing plant have a mean time to failure of 30 months with a standard deviation of 2 months. I select a simple random sample of 400 batteries produced in the manufacturing plant. I test each and record how long it takes for each battery to fail. I then compute the average of all the failure times. The sampling distribution of is approximately:
Answer:
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The batteries produced in a manufacturing plant have a mean time to failure of 30 months with a standard deviation of 2 months.
This means that [tex]\mu = 30, \sigma = 2[/tex]
Sample of 400 batteries. The sampling distribution of is approximately:
So [tex]n = 400, s = \frac{\sigma}{\sqrt{n}} = \frac{2}{\sqrt{400}} = 0.1[/tex]
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.
What is the slope of a line of best fit if its equation is y = −2x + 3?
−2
Negative 1 over 2
1 over 3
3
Answer:
-2
Step-by-step explanation:
y=m(slope)x+b(y axis)
7
Carly has a bank account with a balance of $3,575. The account pays simple interest at a rate of
4.15%. How long will it take for the account to grow to $7000? Round to the nearest year.
Answer:
It will take 23 years for the account to grow to $7000.
Step-by-step explanation:
Simple Interest
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
Carly has a bank account with a balance of $3,575.
This means that [tex]P = 3575[/tex]
The account pays simple interest at a rate of 4.15%.
This means that [tex]I = 0.0415[/tex]
How long will it take for the account to grow to $7000?
[tex]T = 7000[/tex]
The interest is:
[tex]T = E + P[/tex]
[tex]E = T - P = 7000 - 3575 = 3425[/tex]
Now we have to find t.
[tex]E = P*I*t[/tex]
[tex]3425 = 3575*0.0415*t[/tex]
[tex]t = \frac{3425}{3575*0.0415}[/tex]
[tex]t = 23.1[/tex]
Rounding to the nearest year, it will take 23 years for the account to grow to $7000.
honestly lost on these problems
Answer:
29
Step-by-step explanation:
Hope this helps
mark me brainlist
Answer:
27
Step-by-step explanation:
We know the missing angle for the triangle on the left is 63. And that is the same angle reflected to the other side. There is a right angle so its 63 + 90 = 157.
180 - 157 = 27
6) Solve:
5x + 12 + 3x = 8x - 5
Answer: −17
Step-by-step explanation: ez
Lucy has $60,000 in a savings account that earns simple interest of 14% per year. How much will she have in her account after 5 years?
Answer:
$42,000
Step-by-step explanation:
60,000 × .14 × 5 = 42,000
identify the coefficeient following expression
6a+7
Answer:
6
Step-by-step explanation:
The coeffecient is the number next to the variable. Boom. Done.
Answer:
6
Step-by-step explanation:
a coefficient is a number in front (behind) the variable (ex. the coefficient in 2x is 2, and the variable is x)
i hope this helps :)
Gavin needs to buy candy for the 11 students in his class plus himself. Gavin and each student will get one bag of candy. He uses $20 to buy two different types of candy. Gavin buys x bags of gummy bears that cost $1.50 per bag and y bags of chocolates that cost $2.00 per bag. The system of equations used to represent this situation is graphed, as shown.
Answer:
20=1.50(6)+2.00(4)
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Evaluate the formula for B = 9 in.2 and h = 32 in.
32 in.3
9.6 in.3
96 in.3
288 in.3
Answer:
is going to give you a decimal as then you divide it by 2 and then multiply that number by 4 hope this helps
Step-by-step explanation:
Answer:
is going to give you a decimal as then you divide it by 2 and then multiply that number by 4 hope this helps
Step-by-step explanation:
please help me. In the circle below, U is the center, VX is a diameter, and m VW = 110 degrees Use this information to fill in the blanks.
Answer:
Step-by-step explanation:
Inscribed angle → ∠VXY
(Angle included between two chords meeting at a point on circumference)
Minor arc → (arc VY)
(Arc measuring less than 180° is called as minor arc)
Semicircle → (arc VWX)
(Arc inscribed by the diameter)
m(arc VWX) = 180°
(Semicircle)
m(∠VUW) = 110°
(Central angle subtended by an arc)
Daniel opened a savings account with $1600 that pays no interest. He deposits an additional $200 each week thereafter. How much money would Daniel have in the account 25 weeks after opening the account?
Recall the study about anchoring , in which students estimated the population of Milwaukee aft er some had been told about Chicago and others about Green Bay.
a. Describe in words the parameter(s) of interest in the context of this study.
b. In the context of the parameter(s) described in part (a), express the null and alternative hypotheses for testing whether the class data give strong evidence in support of the anchoring phenomenon described above. If you use symbols, make sure to defi ne them.
c. Check whether the conditions for the validity of the theory-based t-test to compare two means are satisfi ed here.
d. Use appropriate technology (an applet or a statistical soft - ware package) to conduct a t-test of signifi cance of the hypotheses that you stated in part (b). Report the test statistic and p-value.
e. State your conclusion in the context of the study, being sure to comment on statistical signifi cance.
f. Determine and interpret the 95% confi dence interval using a theory-based approach for the parameter(s) of interest in the context of the study.
g. Comment on causation and generalization for this study.
Answer:
hduyvhudsnuv uisdhavusdhvu wujwfhuvudf hu cvhfdyu yf u fe7tg76iufe ygy
Step-by-step expleanation:
tgdwtydttfdtydfdsgfdgfdsvsfvgffgfg fg fg f gf gfg
fg
fg
g
fg
f
Will Give Brainleist! Plz help me on this problem
Which equation represents a line with slope 3/5 of and y-intercept of -1 ?
Answer:
y = 3/5x - 1
i think that's what's supposed to be there...
Help me out thanks !!!!!!
Answer:
a = 12
Step-by-step explanation:
as C^2 = A^2 + B^2
by Pythagoras theorem
so
A^2 = C^2 - B^2
= 13^2 - 5^2
= 169- 25
144
as 12^2 is equal to 144
hence side a is equal to 12
Answer:
[tex]h^2 = p^2 + b^2 \\ {13}^{2} = {p }^{2} + {5}^{2} \\ 169 = {p }^{2} + 25 \\ 169 - 25 = {p}^{2} \\ 144 = {p}^{2} \\ \sqrt{144} = p \\ 12 = p \\ p = 12[/tex]
What is the area of the shaded region?
How can you find f(4) if f(x)=7x^(2)-5
Answer:
107
Step-by-step explanation:
f(x)=7x^(2)-5
f(4) means that x=4
f(4)=7*4^(2)-5
= 7 * 16 -5
= 112 -5
= 107
34+35? :)))) answer immediately
Answer:
69
Step-by-step explanation:
30+30=60
4+5=9
60+9=69!
can somebody help me with this quickly I forgot how to do this and yeah ill mark you!
Answer:
4/11 i believe
Step-by-step explanation:
Find the measure of:
Answer:
4.8x10
Step-by-step explanation:
Write 8 1/5 as a fraction
Answer:
8.2
Step-by-step explanation:
let me know if its wrong
Gina tosses a number cube 66 times. About how many times would you expect that Gina would toss a 6?
Answer:11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
its 11 because 66 divided by 6 = 11
PLEASE HELP I WILL GIVE BRANLIEST IF YOUR ANSWER IS CORRECT!
Answer:
1:4
2:8
3:12
4:16
Step-by-step explanation:
What is 3r-2 ?? Algebra is not my strong suit
An electronics store is having a 15% off sale. Suppose the sale price(p) of a laptop is $495. Which statement are true for this stuation
A. P+ 0.15p represents the sales price
B. P- 0.15p represent the sales price
C. 0.85p represents the sales price
D. The sale price is 420.75
E. The sale price is 569.25
Answer:
The answer to the Question is D
Answer:
B, C, D
Step-by-step explanation:
If the sales price is 15% off, then the the price is .85(100-15%) of the price so c is true
this also makes b true. (100-15%) is p-.15
495 x .85 (100-15%)=420.75 so d is true
How many joules of gravitational potential energy are stored in an object that has a mass of 8.5 kilograms and is held 2 meters above the surface of earth?
Answer:
I believe the answer is 166.6 Joules or (if rounding to the nearest whole number) 167 Joules.
Step-by-step explanation:
Here is the formula to find the gravitational potential energy of an object:
U = m * g * h (potential energy equals mass times gravitational acceleration * the height)
The mass is 8.5 kilograms, the height is 2 meters, and Earth's gravitational acceleration is always, no matter the other values or earthly situations, 9.8 m/s.
Now we solve:
8.5 * 9.8 * 2 = 166.6 which is rounded to 167 Joules.
Need help plz and thank u
Answer:
20%
Step-by-step explanation:
12/60 (divided) makes 0.2, converted to a percent is 20%
A researcher studies differences in career goals between boys and girls in middle school. All of the students in the seventh grade schools in a particular county answer a list of questions. What type of study is this?
A. Experiment
B. Sample Survey
C. Observational Study
D. Random Trial
Explanation:
When asking/answering questions like this, a survey is involved. It could be multiple choice or fill in the blank. Multiple choice may be the best way because it's easier to compare data results when you have only a few options. It also gives the computer an easier time too.
We aren't conducting an experiment since the researcher is not directly affecting the people, and instead letting them answer the questions without intervention. Also, note how we don't have two groups of treatment vs control. This is another indication we don't have an experiment.
An observational study is not being done here either. Yes the researcher is observing the survey results, but s/he is not making notes on the individuals before the survey is conducted (ie before the questions are asked). An example of an observational study is having the researcher make a tally of students' hair color. The researcher simply looks at each student, marks the correct tally, and doesn't need to ask the student a question. So you can see that the interactive question/answer portion is not present in an observational study.
The phrasing "random trial" is not a study type. When you hear "random trial" in the news, maybe for a new drug being developed, the news report is implying heavily that an experimental study had been done. This is true with all drug trials. One group is the treatment group that gets the actual drug, while the control group gets a fake drug. The control group thinks they get the actual drug, which is important because if they knew it was fake, then it would invalidate the study. I recommend researching the placebo affect for more information. The two group's results are then computed to see if the drug did in fact cause a change in the subjects or not. You would see this if there's a significant difference between the treatment and control group. Anyway, the "random trial" is not a study type but rather an aspect of an experimental study. It's possible your teacher put this in here to throw off students.
How is math used in making murals?(subject:Collage and Career readiness)
ASAP will give brainliest
Question 6(Multiple Choice Worth 4 points)
(07.06) There are currently 3 people signed up for the debate club. The school will not recognize the club officially until it has more than 5 members.
Which of the following graphs includes the possible values for the number of people who still need to sign up to make the club "official?"
H>
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
-10-9-8-7-6
-3-2-1 0 1 2 3 4 5 6 7 8 9 10
--10-9-8-7-6
1-2-1 0 1 2 3 4 5 6 7 8 9 10
OH
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
Answer:
it should be the last one
Step-by-step explanation:
PLEASE HELP!! Will give out brainliest!!! But also have to explain how you got the answers!! Please and thanks!!
1) Consider the piecewise
function shown on the graph, which is composed of exponential,
linear, and polynomial pieces.
h(x)
Complete the statements describing function h.
10
8
6
Over the interval [0, 3), function h is represented
4
2
by
function
-10
-8-6
4
02
-2
4
6
8
10
Function h
a continuous function.
As x approaches positive infinity,
h(x) approaches
As x approaches negative infinity,
-10
h(x) approaches
9514 1404 393
Answer:
exponentialis+∞-∞Step-by-step explanation:
Neither linear nor exponential functions have a "wiggle" in their graph, so the piece in the region x < 0 is polynomial.
The piece in the interval [0, 3] is concave upward and has increasing slope. It could be polynomial, but is most likely the exponential piece of the function.
For x > 3, the function is linear.
There are no gaps in function value where the transition is made from one piece to another, so the function is continuous.
The function tends upward at the right side of the graph. It tends downward at the left side of the graph. This tells you the sign of the infinity they tend toward matches the sign of the infinity x tends toward.
__
On the interval [0, 3], h(x) is represented by an exponential function.
H(x) is a continuous function.
As x approaches +∞, h(x) approaches +∞.
As x approaches -∞, h(x) approaches -∞.