Answer:
ps is perpendicular to line ur.
angle pvr is 90°
12x+3x=90°
15x=90°
x=90°/15
x=6
by putting value of x
12x=72°
The proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents.
(a) Conduct a hypothesis test to determine if these data provide strong evidence the rate of sleep deprivation is different for the two states.
(b) It is possible the conclusion of the test in part (a) is incorrect. If this is the case, what type of error was made?
Step-by-step explanation:
We start by stating the null hypothesis
H0: p1 = p2
No difference is existent
H1: p2 not equal to p2
There is a difference
We find the z statistic using microsoft excel or using the formula in the attachment
= -1.68
From the normal table, p value = 0.099
The p value is greater than 0.05 so we fail to reject the null hypothesis and conclude there is no difference
B. If answer in part a is incorrect then we have made a type ii error. A type 2 error occurs when we accept a false null hypothesis.
Every Month the average number of books borrowed by a class of 24 from a library is 4.What is the total number of books borowed by the class for the month
Answer:
96
Step-by-step explanation:
24*4=96
Find the vertex of the function. ill mark brainlist
Answer:
(2,-9)
Step-by-step explanation:
Classmates Joan, Peta, and Linda each received $400 as graduation gift. Joan deposits her money in an account that earns 7% interest compounded annually and keeps the money in the account for three years. Peta deposits her money, plus an extra $70, in an account that earns 8% interest compounded annually and keeps the money in the account for two years. Linda deposits her money in an account that earns 5% compounded'annually and keeps the money in the account for one year.
Who has more money when they close their accounts and why?
A) Joan, because she kept her money in the longest.
B) Linda, because of her interest rate.
C) Peta, because she invests the most.
D) They all make the same amount.
9514 1404 393
Answer:
C) Peta, because she invests the most
Step-by-step explanation:
The additional $70 that Peta invests is equivalent to more than 2 years' interest at either of the other rates. Not only does Peta invest more money, she does so at a higher interest rate.
Peta will have the most money in her account when she closes it.
__
The balances will be ...
Joan $490.02
Peta $548.21
Linda $420.00
John wants to earn $30. He already has $12. What percent is he at his goal?
Answer:
40%
Step-by-step explanation:
40%
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hope it helps
I don't really know how to explain sorry
Genesis has an action figure collection. She keeps some in a display case and the rest on the wall. 253 of her action figures are on the wall, and 45% of her action figures are in the display case. What is the total number of action figures in Genesis's collection?
Answer:460
Step-by-step explanation:on delta math
The total number of action figures in Genesis's collection will be 460.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Genesis offers a variety of action figures. She hangs the remainder and keeps some in a display cabinet. 253 of her action figures are hung on the wall, and the display case holds 45% of her collection.
The obtained expression for the given condition,
=253 / (1-0.45)
=253/0.55
=25300/55
=460
Thus, the total number of action figures in Genesis's collection will be 460.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ6
giving brainliest *easy*
Step-by-step explanation:
The formula is given by :
[tex]s=\dfrac{m}{360}\times 2\pi r[/tex]
We have,
m = 19° and d = 9 cm
So,
[tex]s=\dfrac{19}{360}\times 2\pi \times \dfrac{9}{2}\\\\s=1.49[/tex]
Hence, this is the required soltion.
0 What is A U B?
Set A = 1, 2, 3, 4
Set B = 2, 3, 6, 10, 11
Answer:
A U B= 1,2,3,4,6,10,11
Step-by-step explanation:
because A union B is all number from set A and set B together without repeating
pls someone anwser quick
What is the factored form of X^9+27 A (x^3-3)(x^6+3x^3+9) B(x^3+3)(x^6-3x^3+9) C(x-3)^3(x^6+3x^3+9) D(x+3)^3(x^6-3x^3+9)
Answer:
D
Step-by-step explanation:
Fine the slope of the line through (20, -8), (9, -8)
Answer: The slope is 0
Find the value of x.
Answer:
write 9x+80=7x+120
next transpose the x values to one side and the number to other side
i.e 9x-7x=120-80
= 2x= 140
x=140/2
and you will get the answer 70
so x=70
Step-by-step explanation:
Please mrk me as brainliest if you
An element with
mass 510 grams decays by 26.3% per minute. How much of the
element is remaining after 7 minutes, to the nearest 10th of a gram?
Answer:
60.2 grams is remaining after 7 minutes.
Step-by-step explanation:
Exponential equation for amount of substance:
The exponential equation for the amount of a substance is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal, and t is the time measure.
An element with mass 510 grams decays by 26.3% per minute.
This means that [tex]A(0) = 510, r = 0.263[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 510(1-0.263)^t[/tex]
[tex]A(t) = 510(0.737)^t[/tex]
How much of the element is remaining after 7 minutes?
This is A(7). So
[tex]A(7) = 510(0.737)^7 = 60.2[/tex]
60.2 grams is remaining after 7 minutes.
As a percentage, $9.00 is equal to
What % of $20.00.
Answer:
45%
Step-by-step explanation:
let's say 20 is 100%
10 is 50%
then 10 divided by 5 (to get 10%) is 2
so 1 is 5%
then we wanna get 9 so we do 10-1 which equals the percentages 50-5 to get 45%
What is the slope of (10,-6) (-2,8)
Which expression below is equivalent to -2(5x-8)?
-10x+16
-10x-8
3x-10
3x-8
-2(5x-8)
-10x+16
So A.
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hope it helps
100 POINTS!!!!!
Two cylinders are similar with diameters 6 in and 9 in.
a. Find the ratio of the circumference of their bases
b. Find the ratio of the surface areas.
c. Find the ratio of the volumes.
Answer:
a. Ratio of their circumference = 2:3
b. The ratio of their surface areas = 2:3
c. The ratio of their volume = 4:9
Step-by-step explanation:
Let the cylinders be labelled as A and B respectively.
Diameter of cylinder A = 6 in,
its radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{6}{2}[/tex] = 3 in
Diameter of cylinder B = 9 in,
its radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{9}{2}[/tex] = 4.5 in
Thus,
a. circumference of a circle = 2[tex]\pi[/tex]r
Circumference of cylinder A = 2[tex]\pi[/tex]r
= 2 x [tex]\pi[/tex] x 3
= 6[tex]\pi[/tex] in
Circumference of cylinder B = 2[tex]\pi[/tex]r
= 2 x [tex]\pi[/tex] x 4.5
= 9[tex]\pi[/tex]
Ratio of their circumference = [tex]\frac{circumference of cylinder A}{circumference of cylinder B}[/tex]
= [tex]\frac{6\pi }{9\pi }[/tex]
= 2:3
b. The surface area of a cylinder = 2[tex]\pi[/tex]rh
the surface area of cylinder A = 2[tex]\pi[/tex]rh
= 6[tex]\pi[/tex]h
the surface area of cylinder B = 2[tex]\pi[/tex]rh
= 9[tex]\pi[/tex]h
The ratio of their surface areas = [tex]\frac{surface area of cylinder A}{surface area of cylinder B}[/tex]
= [tex]\frac{6\pi h}{9\pi h}[/tex]
= 2:3
c. Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
volume of cylinder A = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\pi[/tex] x [tex]3^{2}[/tex] x h
= 9[tex]\pi[/tex]h
volume of cylinder b = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\pi[/tex] x [tex]4.5^{2}[/tex] x h
= 20.25[tex]\pi[/tex]h
The ratio of their volume = [tex]\frac{volume of cylinder A}{volume of cylinder B}[/tex]
= [tex]\frac{9\pi h}{20.25\pi h}[/tex]
= 4:9
d=6in,9in
r=3in,4.5in
circumference:-
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1}{2\pi r_2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6\pi}{9\pi}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto 2:3[/tex]
LSA:-
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1h}{2\pi r_2h}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6}{9}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto 2:3[/tex]
TSA
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1(h+r_1)}{2\pi r_2(h+r_2)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6(h+6)}{9(h+9)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6h+36}{9h+81}[/tex]
[tex]\\ \sf\longmapsto \dfrac{h(6+36)}{h(9+81)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{42}{90}[/tex]
[tex]\\ \sf\longmapsto \dfrac{7}{15}[/tex]
[tex]\\ \sf\longmapsto 7:15[/tex]
Volume:-
[tex]\\ \sf\longmapsto \dfrac{\pi r_1^2h}{\pi r_2^2h}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3^2}{4.5^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{9}{20.25}[/tex]
[tex]\\ \sf\longmapsto 4:9[/tex]
The straight-line distance between the points is ___ units, rounded to the nearest tenth.
Answer:
The straight-line distance between the points is approximately 8.6.
Step-by-step explanation:
The straight-line distance ([tex]d[/tex]) between the points is determined by the following Pythagorean identity:
[tex]d = \sqrt{x^{2}+y^{2}}[/tex] (1)
Where:
[tex]x[/tex] - Horizontal distance between the points.
[tex]y[/tex] - Vertical distance between the points.
Let consider that each square has a distance of 1 unit. If we know that [tex]x = 5[/tex] and [tex]y = -7[/tex], then the straight-line distance is:
[tex]d = \sqrt{5^{2}+(-7)^{2}}[/tex]
[tex]d \approx 8.6[/tex]
The straight-line distance between the points is approximately 8.6.
Sarah makes $3000 contributions at the end of each half-year to a retirement account for 8 years. For the next 20 years, she makes no additional contributions and no withdrawals. If the account earns 7.5%, compounded semi-annually, find the value of the account after the 28 years.
(b) If the above account is used to set up an annuity that pays her an amount at the beginning of each 6-month period for the next 20 years, how much will each payment be?
Answer:
I think its aa.... I think its aa.... Carrot
Step-by-step explanation:
A farmer claims that the average mass of an apple grown in his orchard is 100g. To test this claim, he measures the mass of 150 apples that are grown in his orchard and determines the average mass per apple to be 98g. The results are calculated to be statistically significant at the 0.01 level. What is the correct interpretation of this calculation?
A. The data are not statistically significant at the 0.05 level.
B. The mean mass of any 150 apples grown in the farmer's orchard is 98g.
C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.
D. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is 98g.
Answer:
C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 100[/tex]
Because of the claim of the farmer.
The alternate hypothesis is:
[tex]H_{1} \neq 100[/tex]
The alternate hypothesis tests the farmer's claim at a significance level.
The results are calculated to be statistically significant at the 0.01 level.
This means that at the 0.01 level, the null hypothesis is rejected, that is, the mean mass of the farmer's orchard is different from 100. Since it is significant at the 0.01 level, it will be significant at the 0.05, 0.1, and increasing levels. So the correct answer is given by option C.
3.1 Simplify the following ratios:
3.1.1 500g: 3 kg
- 15
Answer:
1g:6g-15
Step-by-step explanation:
Helen makes 6 friendship bracelets . She gave 1/3 of the bracelets to sami which expression can i use
Answer:
6 x 1/3 = 2
Step-by-step explanation:
Question 4
Which pattern of points in a scatterplot describes r=-1.0?
A) All points lie on a horizontal line
B) All points lie on a line that increases from left to right?
C) All points lie on a line that decreases from left to right?
D) A cloud of random points.
If employees who make more money pay a higher percentage of their income
to the government, this is known as
A. flat taxation
B. federal income taxation
C. progressive taxation
D. regressive taxation
Answer:
C. progressive taxation
Step-by-step explanation:
Taxation can be defined as the involuntary or compulsory fees levied on individuals or business entities by the government to generate revenues used for funding public institutions and activities.
There are three (3) types of taxation used by the government, these are;
1. Regressive taxation: it involves charging individuals with low incomes a higher percentage of their total income and vice-versa.
- For instance, John pays 15% on $60,000 and Joyce pays 20% on $36,000.
2. Proportional taxation: it involves charging both lower and higher income earners equally in proportion to their income.
- For instance, John pays 20% on $50,000 and Joyce pays 20% on $36,000.
3. Progressive taxation: it involves charging individuals having higher incomes a higher percentage of their total income.
- For instance, John pays 30% on $70,000 and Joyce pays 10% on $45.000.
Hence, if employees who make more money pay a higher percentage of their income to the government, this is known as progressive taxation.
what's the answer! Consider having a personal loan that spans 5 years. The loan was only taken out for $6000, but the interest rate was a higher fixed percentage of 5.99%. How much interest will you have paid after it is paid off?
Answer: $179.70
Step-by-step explanation:
The simple interest will be:
= (Principal × Rate × Time) / 100
= ($6000 × 5.99% × 5) / 10
= ($6000 × 0.0599 × 5) / 10
= $1797 / 10
= $179.70
Therefore, the total interest on the loan is $179.70
3. If a week is 7 days, what fraction of a week is 2 days?
Suspecting that television repair shops tend to charge women more than they do men, Emily disconnected the speaker wire on her portable television and took it to a sample of 12 shops. She was given repair estimates that averaged $85, with a standard deviation of $28. Her friend John, taking the same set to another sample of 9 shops, was provided with an average estimate of $65, with a standard deviation of $21. Assuming normal populations with equal standard deviations, What is the the pooled estimate of the common variance with the 0.05 level
Answer:
The pooled estimate of the common variance is approximately 639.59
Step-by-step explanation:
The given parameters are;
The number of shops Emily visited, n₁ = 12 shops
The average repair estimate Emily was given, [tex]\overline x_1[/tex] = $85
The standard deviation of the estimate Emily was given, s₁ = $28
The number of shops John visited, n₂ = 9 shops
The average repair estimate John was given, [tex]\overline x_2[/tex] = $65
The standard deviation of the estimate John was given, s₂ = $21
The pooled estimate of the common variance, [tex]s_p^2[/tex], is given as follows;
[tex]s_p^2 = \dfrac{(n_1 - 1)\cdot s_1^2+(n_2 - 1)\cdot s_2^2}{n_1 + n_2-2}[/tex]
[tex]\therefore s_p^2 = \dfrac{(12 - 1)\cdot 28^2+(9 - 1)\cdot 21^2}{12 + 9-2} = 639.578947368[/tex]
∴ The pooled estimate of the common variance, [tex]s_p^2[/tex], ≈ 639.59
Find the length of the side and area of the square who perimeter is given below
(a) 44 cm
Answer:
Side length:11
Area: 121
Step-by-step explanation:
if its a square all sides should be equal so you can divide 44 by 4 which gives you 11 and then to find area you just multiply the two sides together which would be 11x11 and that equals 121
I'm pretty sure this is what it would be but it also seems over simplified and i might be missing something?
What value of b completes the function f(x)=-x^2+bx+1?
Answer:
Step-by-step explanation:
It is hard to guess the coordinates of any points, because the graph doesn't go through any intersections of the grid.
Fortunately, I can tell that the axis of symmetry is x=2.
Put the equation into vertex form by completing the square.
axis of symmetry = b/2
b/2 = 2
b = 4
Activity
Part A
Match the factors affecting cost to their definitions. Write the name of the factor next to its definition
Answer:
cost of materials - the value of all things needed to create the good or service
opportunity cost - the value of a product given up to produce or obtain another product
fixed cost - costs that are not affected by the level of production
sunk cost - past costs that cannot be recovered
marginal cost - change in total cost that arises when the quantity produced changes by one unit
Step-by-step explanation:
Answer:
cost of materials: the value of all things needed to create the good or service
opportunity cost: the value of a product given up to produce or obtain another product
fixed cost: costs that are not affected by the level of production
sunk cost: past costs that cannot be recovered
marginal cost: change in total cost that arises when the quantity produced changes by one unit