Complete question :
Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of 1000 adults showed 410 indicating that their financial security was more than fair. In February of 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. H : Pi - P2 - Select your answer HA : P1 P2 - Select your answer - b. What is the sample proportion indicating that their financial security was more than fair in 2012? Round your answer to two decimal places. In 2010?
Answer:
H0 : p1 - p2 = 0
H1 : p1 - p2 ≠ 0
Phat 2010 = 0.35
Phat 2012 = 0.41
Step-by-step explanation:
The null and alternative hypothesis :
H0 : p1 - p2 = 0
H1 : p1 - p2 ≠ 0
The null means there is no difference in proportion for the two years while the alternative claims that there is difference in proportion for the two years.
Sample proportion for 2010:
Phat = x / n
x = 315 ; n = 900
Phat = 315 / 900
Phat = 0.35
Sample proportion for 2012 :
Phat = x / n
x = 410 ; n = 1000
Phat = 410 / 1000
Phat = 0.41
what is the area of the figure below
Answer:
Step-by-step explanation:
this is sorta a thought process to figure this out. so think it thur with me. b/c they are saying that the line is the same length with the lines thur it... see them? so then that means that two sides of the right triangle are of a certain length so that means we know the base and length of the sides of a box, if we were to add the other right triangle to it.. see that?
so we can say that 6*7.5 = box and we'll have two total boxes, see that? the top portion of the parallelogram and the bottom are each a box .. but cut down the middle and put as two opposite parts of a triangle.
so
2*(6*7.5) = 90 [tex]in^{2}[/tex]
A triangular prism has a base that is an isosceles triangle with sides 14 cm, 14cm , base 9 cm , and height 13 cm. The height of the prism is 32 cm. What is the surface area of this prism?
Answer:
Surface area of prism = 1301 cm²
Step-by-step explanation:
A triangular pyramid has 3 rectangular sides and 2 triangular sides.
Now, we are told that the triangular side is isosceles.
This means that two of the rectangular sides which share a side with the equal side of the triangle are equal as well as the 2 triangular sides.
Surface area of prism = 2(area of triangular face) + 2(area of rectangle sharing one side with the equal side of the triangle) + (area of rectangle sharing side with the unequal side of the triangle).
Area of triangle = ½ × base × height
Area of triangle = ½ × 9 × 13 = 58.5 cm²
Since height of prism is 32 cm, then;
area of rectangle sharing one side with the equal side of the triangle = 32 × 14 = 448 cm²
area of rectangle sharing side with the unequal side of the triangle = 32 × 9 = 288 cm²
Thus;
Surface area of prism = 2(58.5) + 2(448) + 288
Surface area of prism = 1301 cm²
PLEASE HELP!!!!
Find the volume and surface area of the composite figure. Give four answers in terms of π.
Answer Options
V = 123π in3; S = 78π in2
V = 612π in3; S = 264π in2
V = 153π in3; S = 123π in2
V = 135π in3; S = 105π in2
Answer:
V = 135π in3; S = 105π in2
Step-by-step explanation:
Jenny sleeps for 8 hours every day. How many days does she spend over the course
Answer:
56 Hours A Week... how long is the course though?
Step-by-step explanation:
Soojeong estimates that it is going to take $180,000 to send her new born baby to college. She would like to start an annuity so that she can have $180,000 after 18 years. If the account earns 5.5% interest compounded monthly, how much must she put in each month?
Answer:
Monthly deposit= $489.59
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $180,000
Number of periods (n)= 18*12= 216
Interest rate (i)= 0.055 / 12= 0.004583
To calculate the monthly deposit, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (180,000*0.004583) / {[(1.004583)^216] - 1}
A= $489.59
Which expression is the result of factoring the expression below by taking out its greatest common factor? 16x^2-8x=? Choose 1 answer: A. 8(2x-1) B. 8(2x^2-x) C. 8x(2x-1) D.8x(2x^2-x)
Answer:
I think it is A
Step-by-step explanation:
(h + 1) cm 6 cm A Write and solve an equation to find the value of h Include all of your work in your answer. B. In two or more complete sentences, verify your answer using mental math. 2
Answer:
See belowStep-by-step explanation:
we are given opposite and adjacent if the given right angle triangle
we want to make an equation with the given information
Part-1:notice that adjacent is greater than opposite so we can only take 30° as our angle
hence,
using trigonometric property
our equation is
[tex] \displaystyle \: \tan( {30}^{ \circ} ) = \frac{h + 1}{6} [/tex]
we took tangent function because we know that tangent function is the ratio of opposite and adjacent
now let's solve the equation
recall unit circle:
[tex] \displaystyle \: \frac{ \sqrt[]{3} }{3} = \frac{h + 1}{6} [/tex]
cross multiplication:
[tex]3(h + 1) = 6 \sqrt{3} [/tex]
divide both sides by 3:
[tex]h + 1 = 2 \sqrt{3} [/tex]
cancel 1 from both sides:
[tex] \therefore \: h = 2 \sqrt{3} - 1[/tex]
Part-2:by using mental math
The angle of elevation at the top of a tower at a point on the ground is 30° at a distance of 6 metre from the foot and the height of the tower is h+1. find h
now this question verifies the equation
because we are given a right angle triangle where the opposite is less than the adjacent so we took 30° as our angle
by solving the equation we'll again get our answer
y=-4/3x+6; y=2
I need that to be done in subsitution or elimination
Rewrite equations:
y=2;y=
−4
3
x+6
Step: Solvey=2for y:
y=2
Step: Substitute2foryiny=
−4
3
x+6:
y=
−4
3
x+6
2=
−4
3
x+6
2+
4
3
x=
−4
3
x+6+
4
3
x(Add 4/3x to both sides)
4
3
x+2=6
4
3
x+2+−2=6+−2(Add -2 to both sides)
4
3
x=4
4
3
x
4
3
=
4
4
3
(Divide both sides by 4/3)
x=3
Answer:
x=3 and y=2
factorise (2x²-5x-3)
Answer:
2x² - 5x - 3
= 2x² -6x + 1x -3
= 2x( x - 3) + 1 (x - 3)
= ( x - 3) (2x + 1)
7th grade math!
Can somebody plz help answer these questions correctly (only if you remmeber how to do this) thx so much :3
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD
Answer:
I just learned about this, and if its wrong i am so so sorry
Step-by-step explanation:
a= 120
b= 60
w= 120
x= 120
r= 105
q= 105
p= 105
Answer:
a= 120
b= 60
w= 120
x= 120
r= 75
q= 105
p= 105
Step-by-step explanation:
Type the correct answer in the box the coordinates of vertex is are blank and blank the area of rectangle pqrs is blank square units
Answer:
first is x second is y third is -2-3
Step-by-step explanation:
make me brainliest or yo gay
A function that increases proportionally to its current value. The larger the function gets, the faster it increases.
is it a science question
Of all the animals admitted to the local pet hospital, 10 of them are dogs. They represent 25% of all the animals at the hospital. How many animals are at the hospital in total? A. 20 B. 30 C. 40 D. 50
Answer:
C. 40
Step-by-step explanation:
[tex]\frac{25}{100} = \frac{10}{y}[/tex]
[tex]\frac{1}{4} = \frac{10}{y}[/tex] (cross multiply)
40 = 1y (rewrite)
y = 40
9. What is the distance along the x axis from order pairs -8, 6 and 4,6
a. 4 units
b. 8 units
c. 16 units
d. 12 units
Answer:
12 units
Step-by-step explanation:
got it right on edg
PLEASE HELP ITS DUE TODAY!
5. Find the length of the missing side in the figure below. a =
cm.
5.8
2.4
8.5
оо
5.3
Answer:
a=[tex]\sqrt{28.32}[/tex]≈5.3217 cm
Step-by-step explanation:
Use the Pythagorean Theorem
a^2+4.7^2=7.1^2
a^2+22.09=50.41
a^2=28.32
a=[tex]\sqrt{28.32}[/tex]
≈5.3217
Answer:
5.3
Step-by-step explanation:
Check the attached image for explanation if you are interested, as I did not feel like spending 20 minutes re-formatting the equations to work on Brainly.
Also, I did not do this
On January 1, 2020, Maris Enterprises issued 9%, 5-year bonds with a face amount of $800,000 at par. Interest is payable annually on January 1.
Answer:
A. Jan 1
Dr cash $800,000
Cr Bonds payable $800,000
B. Dr Interest expense $72,000
Cr Interest Payable $72,000
Step-by-step explanation:
Preparation of the entries to record the issuance of the bonds and the first annual interest accrual on December 31
A. Preparation of the entries to record the issuance of the bonds
Jan 1
Dr cash $800,000
Cr Bonds payable $800,000
(Being to record issuance of the bonds)
B. Preparation of the Journal entry to record first annual interest accrual on December 31
Dec 31
Dr Interest expense $72,000
Cr Interest Payable $72,000
($800,000*9%)
(Being to record the first year interest expense accrued)
Pls help will mark brainliest
Answer:
9) (68 + 160)/2 = 114°
10) 80/2 = 40°
11) 105 x 2 = 210°
12) 80 x 2 = 160°
13) (360 - 180 - 108)/2 = 36°
14) (360 - 69 - 95)/2 = 98°
What is another way to write -8+5?
Answer:
5-8
Step-by-step explanation:
you just had to move the 8 over
g(x) = 2x^3 when g(3) ????
Answer:18
Step-by-step explanation:3^3 times 2
please solve for x!!!
Answer:
2x+156=4x+192
192-156=-4x+2x
36=-2x
x=-18
Step-by-step explanation:
HELPPP WILL MARK BRAINLIEST!!!!!!
Answer:
15 by 2
Step-by-step explanation:
15 cubes in each layer with 2 layers
Answer:
Cubes in each layer: 15
Number of layers: 2
Volume : 30 cm^3
Step-by-step explanation:
due soon! Please help :)
Answer:
Dining Hall = 24 square meters
Kitchen = 48 square meters
Together = 72 square meters
If Sarah has $6453 Dallors of food and has $135 Dollars on her. How much will she need to pay for her food?
A. 6318
B. 233
C. 4555
D None of the Above
Answer:
It will be A
Step-by-step explanation:
6453
- 135
--------
6318 dollars needed for Sarah's food.
Hope this helps!
A=1/2h(b+b)
a
77 ft sq.
b
29 ft sq
c
154 ft sq
d
392 ft sq.
Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
Putting values in the equation
A = 1/2(7)(8 + 14)
= 1/2(7)(22)
= 1/2(154)
= 77 ft. sq
Option A is the correct answer
The electronics store is offering 30% off all accessories. If Lisa saves $9.00 buying four charging cords, what was the original price of the cords?
Answer:
Cost of each cord = $7.5
Step-by-step explanation:
Given:
Discount rate = 30% = 0.30
Amount save by Lisa = $9
Number of charger = 4
Find:
Cost of each cord
Computation:
Total cost of 4 charger = Amount save by Lisa[1/Discount rate]
Total cost of 4 charger = 9[1/0.30]
Total cost of 4 charger = $30
Cost of each cord = Total cost of 4 charger / Number of charger
Cost of each cord = $30 / 4
Cost of each cord = $7.5
Find the distance between the points (9,3) and (–5,3).
Answer:
The answer to the question provided is 14.
Step-by-step explanation:
》The Distance Formula:
[tex] d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} } [/tex]
》Plug in.
[tex]d = \sqrt{( - 5 - 9)^{2} + (3 - 3) ^{2} } \\ d = \sqrt{( - 14)^{2} + (0) ^{2} } \\ d = \sqrt{196 + 0} \\ d = \sqrt{196} \\ d = 14[/tex]
9. a) Why does every pair of whole
a
numbers have a GCF of 1 or greater?
Answer:
A whole number is any positive integer greater than zero and is not a fraction or a decimal. Any whole number can be divided by itself and one so therefor all pairs of whole numbers have a GCF of one. However the bigger the number the more factors it can have so the GCF of a pair of whole numbers may have a greater GCF than 1.
Step-by-step explanation:
Can someone plz help me with these United rates and explain step by step ?
Yoshi is a basketball player who likes to practice by attempting the same three-point shot until he makes the shot. His past performance indicates that he has a 30 % 30%30, percent chance of making one of these shots. Let X XX represent the number of attempts it takes Yoshi to make the shot, and assume the results of each attempt are independent. Is X XX a binomial variable? Why or why not?
Answer:
There is no fixed number of trials, so X is not a binomial variable
Step-by-step explanation:
mama
There is no fixed number of trials, so X is not a binomial variable.
What is a binomial variable in statistics?
This is a specific kind of discrete random variable. A binomial random variable counts how regularly a specific event occurs in a fixed variety of attempts or trials.
What is a binomial data example?The binomial is a form of distribution that has possible effects (the prefix “bi” method two, or twice). as an example, a coin toss has only viable effects: heads or tails, and taking a check may want to have viable outcomes: pass or fail. A Binomial Distribution indicates both success and failure.
Learn more about Binomial Distribution here: https://brainly.com/question/24756209
#SPJ2
i need help. what’s the answer to this .
Answer:
12
Step-by-step explanation:
I know bc i did this before
Answer:
72 unit cubes (72 units³)
Step-by-step explanation:
[tex]6\times3\times4=72[/tex]