Answer:
B(if the option is 10^7 instead of 107
Step-by-step explanation:
no. of people in New York=19000000
no. of people in Vermont =626,000
difference in populations = 19000000-626,000 =18374000
therefore, the difference in populations is 18374000
(which can also be written as 1.8374x10^7)
Find the domain of function F defined by
F(x) =1/√|x-1|
Answer:
Therefore, |x-1|>0
=> (x-1)>0 or - (x-1)>0
=> x > 1 or x < 1
=> (- infinity, 1) U (1, infinity)
Angad was thinking of a number. Angad subtracts 5.1 from the number and gets an answer of 33.5. Form an equation with
x
from the information
2. A small university is trying to monitor its electricity usage. For a random sample of
30 weekend days (Saturdays and Sundays), the student center used an average of 94.26 kilowatt hours (kWh) with standard deviation 43.29. For a random sample of 60 weekdays, (Monday - Friday), the student center used an average of 112.63 kWh with standard deviation 32.07.(Please show work)
a) Test, at the 5% level, if significantly more electricity is used at the student center, on average, on weekdays than weekend days. Remember to check the conditions, identify the hypotheses, define your parameter, find the test statistic, find the p-value, and give a conclusion in context.
b) Construct a 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days. Use two decimal places in your margin of error.
Using the t-distribution, it is found that:
a) Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that significantly more electricity is used at the student center, on average, on weekdays than weekend days.
b) The 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days is (3.56, 33.18).
Item a:
At the null hypothesis, it is tested if there is no difference, that is, the subtraction is at most 0, hence:
[tex]H_0: \mu_1 - \mu_2 \leq 0[/tex]
At the alternative hypothesis, it is tested if there is difference, that is, the subtraction is positive, hence:
[tex]H_1: \mu_1 - \mu_2 > 0[/tex]
The standard errors are given by:
[tex]s_1 = \frac{32.07}{\sqrt{60}} = 4.14[/tex]
[tex]s_2 = \frac{43.29}{\sqrt{30}} = 7.9[/tex]
The distribution of the difference has mean and standard deviation given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 112.63 - 94.26 = 18.37[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{4.14^2 + 7.9^2} = 8.92[/tex]
The standard deviation are given for the samples, hence, the t-distribution is used.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the hypothesis.
Hence:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{18.37 - 0}{8.92}[/tex]
[tex]t = 2.06[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 30 + 60 - 2 = 88 df is [tex]t^{\ast} = 1.66[/tex]
Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that significantly more electricity is used at the student center, on average, on weekdays than weekend days.
Item b:
The interval is:
[tex]\overline{x} \pm t^{\ast}s[/tex]
Hence:
[tex]\overline{x} - t^{\ast}s = 18.37 - 1.66(8.92) = 3.56[/tex]
[tex]\overline{x} + t^{\ast}s = 18.37 + 1.66(8.92) = 33.18[/tex]
The 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days is (3.56, 33.18).
A similar problem is given at https://brainly.com/question/25812826
Suppose that a family wants to start a college fund for their child. If they can get a rate of 7. 5%, compounded monthly, and want the fund to have a value of $75,000 after 18 years, how much should they deposit monthly? Assume an ordinary annuity and round to the nearest cent. A. $164. 98 b. $165. 30 c. $166. 21 d. $167. 52.
The amount that should deposit monthly is $164.98
The formula for calculating the compound amount is expressed as:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P is the amount investedA is the amount after 18 years = $75000r is the rate = 7.5% = 0.075t is the time in years = 18 yearsn is the compounding time = 12 (monthly)Substitute the given values into the formula to have:
[tex]75000=P(1+\frac{0.075}{12} )^{12(18)}\\75000 = P(1.00625)^{216}\\75000 =P(3.84125)\\P = \frac{75000}{3.84125}\\P= \$19,524.89[/tex]
Hence the amount of money they started with is $19,524.89.
Amount to deposit monthly = 19,524.89/120
Amount to deposit monthly = $164.98
Hence the amount that should deposit monthly is $164.98
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How many solutions does the system of equations below have?
4x + 10y = –7
–3x + 9y = –14
No solution
One solution
Infinitely solutions
Answer:
There is one solution to this system of equations
Step-by-step explanation:
When solving, there is a specific point of intersection which is (7/6,-7/6), making the answer one solution.
A parallelogram with a diagonal drawn through it is shown below.
Arlen is trying to prove that RS ≅ TU, but is unable to come up with one of the lines of the proof.
STATEMENTS REASONS
RSUT is a parallelogram Given
∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST If parallel lines are cut by a transversal, alternate interior angles are congruent.
ST ≅ ST Reflexive Property
ΔRST ≅ΔUTS ???
RS ≅ TU Corresponding parts of a congruent triangle are congruent.
What is the missing reason in the proof?
Arlen already established that ΔRST and ΔUTS has two pairs of congruent angles and a pair of congruent included sides, which meet the ASA Congruence Criterion. Therefore:
the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence CriterionWhat is the ASA Congruence Criterion?The ASA Congruence Criterion states that for two triangles to be considered congruent to each other, both triangles must have a pair of congruent included sides and two pairs of congruent angles.
Thus, the two-column proof that shows that RS ≅ TU that Arlen is trying to write, has already established that ΔRST and ΔUTS has the following:
Two pairs of congruent angles - ∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST.
A pair of congruent included sides - ST ≅ S.
These satisfy the ASA Congruence Criterion. Therefore:
the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence CriterionLearn more about the ASA Congruence Criterion on:
https://brainly.com/question/11637992
Lorinda can walk 1.8 miles in 30 minutes.
Which proportion can be used to find how many miles she can walk in 45 minutes?
Answer:
B. (1.8)/(30) = (x)/(45)
answered it NO LINKS AND NO WEBSITES I really need help with this, and also if it's Substitution or linear combination and it's half solved.
Answer:
y=6+8
y=14
Step-by-step explanation:
y=14 is the answer to this question
A grocery worker is checking for broken eggs in egg cartons. Each carton of eggs contains 12 eggs. He checks 4 cartons and finds 8 broken eggs. Based on these results, what can the worker predict about the rest of the cartons of eggs?
Answer:a grocery worker is checking in for broken eggs in a cartoons 12 x 4 c 9
Step-by-step explanation:
I desperately need help !
Answer:
t = 9.57
Step-by-step explanation:
We can use trig functions to solve for the t
Recall the 3 main trig ratios
Sin = opposite / hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent.
( note hypotenuse = longest side , opposite = side opposite of angle and adjacent = other side )
We are given an angle as well as its opposite side length ( which has a measure of 18 ) and we need to find its adjacent "t"
When dealing with the opposite and adjacent we use trig ratio tan.
Tan = opp / adj
angle measure = 62 , opposite side length = 18 and adjacent = t
Tan(62) = 18/t
we now solve for t
Tan(62) = 18/t
multiply both sides by t
Tan(62)t = 18
divide both sides by tan(62)
t = 18/tan(62)
t = 9.57
And we are done!
mr.wilson drives 450 miles in 7 hours. at this rate about how many miles does he drive in 6 hours????
A.) 101
B.) 254
C.) 340
D.) 386
Answer:
D
Step-by-step explanation:
Divide distance he drives by 7 to find hourly rate, then multiply this by 6
450 miles ÷ 7 ≈ 64.29
Then
6 × 64.29 = 385.74 ≈ 386 miles
Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function models the total cost, C(x), of renting a car for x miles?
If you drive 40 miles, how much can you expect to pay?
Step-by-step explanation:
this is a strange rental company charging no daily fees.
but ok.
so, we have a fixed part of the cost : $24
we have to pay that no matter how many miles we drive. even for 0 miles, just to get the keys to the car.
and then we pay $0.35 for every mile driven.
that makes our function
C(x) = 0.35x + 24
and if we drive 40 miles, that makes x = 40.
C(24) = 0.35×40 + 24 = 14 + 24 = $38
it would cost us $38.
I need help with this question
Answer:
30.75 hours.
hope it helps, so may i have my brainliest?
Step-by-step explanation:
20.5 * 1.5 = 30.75
Val has 3/4 gallon of milk. He gives 1/2 of it to a friend. How many gallons of milk does Val have left
Step-by-step explanation:
given, ¾-½= ¼gallon milk.
hope this helps you.
Estimate the quotient .
pls help me
19 4/5 ÷ 4 5/8
Answer: The quotient is 4 52/185, which rounds to 4.
Explanation is in the image.
Help? If im given the option ill give you brainliest!
Answer:
Look at photo for answer, I have not done a piecewise function for a long time... so double check my work.
Step-by-step explanation:
What are the different ways to choose the tens digit, B, in the number 76581B2, so that the number will be divisible by 4? Explain your reasoning.
The volume of a cube is 2744mm3.
What is the length of its side?
f(x)=8x^3+125 find the zeros
Answer:
x = -5/2, (5+5i√3)/4, (5-5i√3)/4
4 km
3 km
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
С:
kilometers
Answer:
5km
Step-by-step explanation:
The formula for hypotenuse is
a squared + b squared = c squared,
4 squared is 16, and 3 squared is 9.
16+9 = c squared
25 = c squared
However, you don't want it to be squared, so you have to find the square root of 25, which is 5.
720 inches per second to miles per minute
Answer:
0.681818 miles per min
Step-by-step explanation:
PLEASE HELP!!!!
Select the correct answer from each drop-down menu.
Consider the end behavior of this function, and then complete the statements.
h(x) = -1/5|x – 3|+ 4
See in picture below
Answer:
See below
Step-by-step explanation:
As x approaches negative infinity, h(x) approaches negative infinity
As x approaches positive infinity, h(x) approaches negative infinity
I've attached a graph to show why these two are true. Remember that in an absolute value function, the result is always positive. However, because there's a negative constant multiplying the absolute value function, this flips the graph over the x-axis and the result is now always negative. In other words, no matter how big or small x is, y will always get smaller.
I need help with this math help please!
Answer: R= 7
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\sf t = 7}[/tex]
Step-by-step explanation:
-8 (4 - t) = 24
-32 + 8t = 24
Add 32 to both sides
8t = 24 + 32
8t = 56
Divide both sides by 8
t = 7
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807A group of 120 seventh- and eighth-grade students were asked whether they participate in sports or in nonâ€"sports-related activities. The two-way table shows their answers. Participation in Sports or Non-Sports A 4-column table with 3 rows. The first column has no label with entries seventh grade, eighth grade, total. The second column is labeled sports with entries 39, 29, 68. The third column is labeled non-sports with entries 24, 28, 52. The fourth column is labeled total with entries 63, 57, 120. Which statement is correct? Twenty-nine seventh-grade students chose a sports activity. Twenty-eight eighth-grade students chose a sports activity. Twenty-four seventh-grade students chose a non-sports activity. Thirty-nine eighth-grade students chose a non-sports activity.
The true statement about the group of 120 seventh-and eighth-grade students is (c) twenty-four seventh-grade students chose a non-sports activity
The entries are given as:
Sports Non Sports Total
Seventh Grade: 39 24 63
Eighth Grade: 29 28 57
Total 68 52 120
From the above entries, we have the following highlights:
39 seventh-grade students chose a sports activity. 29 eighth-grade students chose a sports activity. 24 seventh-grade students chose a non-sports activity28 eighth-grade students chose a non-sports activity.From the above highlights, we can conclude that the following statement from the options is true
(c) twenty-four seventh-grade students chose a non-sports activity
Read more about data representation at:
https://brainly.com/question/1592223
Answer:
c)
Step-by-step explanation:
Alguien me dice que debo hacer aqui porfavor es para un examen
Answer:
Cuando tenga problemas con una pregunta, venga aquí y también lo ayudaremos si no recibe la pregunta, intente omitirla.
Step-by-step explanation:
Answer the questions below to find the total surface area of the can. (55 points, help fast)
Answer:
Hope this helps
Step-by-step explanation:
first question --> area of circle ---> [tex]\pi r^{2}[/tex] ---> [tex]1.5^{2} \pi[/tex] ---> [tex]2.25\pi[/tex]
second question --> unclear quetion but I assume 4?
third question --> area of cylinder --> [tex]r^{2} \pi h[/tex] --> [tex]2.25\pi h[/tex] --> [tex]2.25\pi 4[/tex] --> [tex]9\pi[/tex]
h --> height
r --> Radius
[tex]\pi[/tex] --> pi
The total surface area of the can is 61.23 square inches
How to calculate the total surface area of a canThe formula for calculating the total surface area of a can is expressed as:
S = 2πr(r+h)
where:
h is the height
r is the radius
Given the following parameters
h = 5in
r = 1.5in
S = 2(3.14)(1.5)(1.5 + 5)
S = 6.28(1.5)(6.5)
S = 61.23 square inches
Hence the total surface area of the can is 61.23 square inches
Learn more on total surface area here: https://brainly.com/question/16997207
PLEASE HURRY. WILL GIVE BRAINLIEST. 100pts
Answer:
a - 4/11
b - 11/30
c - 9/25
Step-by-step explanation:
have a lovely day <3
Answer:
a b c
Step-by-step explanation:
hope it helps
Help pls + brainliest
Answer:
Letter C.
Step-by-step explanation:
Lap 1 be x
Lap 2 be y
Line graph: plot the values, and will get C.
The ratio of three numbers is 4 : 1 : 7. The sum of the numbers is 24. What are the three numbers?
Answer:
8, 2, 14
Step-by-step explanation:
sum the parts of the ratio, 4 + 1 + 7 = 12 parts , then
24 ÷ 12 = 2 ← value of 1 part of the ratio, then
4 parts = 4 × 2 = 8
7 parts = 7 × 2 = 14
The 3 numbers are 8, 2, 14
I need to know this give me answer
Answer:the answer is b 10/21
Step-by-step explanation:
Answer:
B) 10/21
Step-by-step explanation:
Keep, change, flip
keep 2/7, change to multiply, flip to 5/3
2/7 x 5/3 = 10/21
Hope this helps! Pls give brainliest!