The total is $21 + $6 or $27.
There are 3 students.
Let p = how much each student will pay
p = $27 ÷ 3 students
p = $9
Each student will pay $9.
The answer is $9 each
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 42 women athletes at the school showed that 23 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 1% level of significance.
Answer:
The null and alternative hypotheses are:
[tex]H_{0}: p=0.67[/tex]
[tex]H_{a} : p <0.67[/tex]
Under the null hypothesis, the test statistic is:
[tex]z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
Where:
[tex]\hat{p}= \frac{23}{42} = 0.5476[/tex]
[tex]\therefore z = \frac{ 0.5476 -0.67}{\sqrt{\frac{0.67(1-0.67)}{42} }}[/tex]
[tex]=\frac{-0.1224}{0.072555398}[/tex]
[tex]=-1.69[/tex]
Now, we have to find the left tailed z critical value at 0.01 significance level using the standard normal table. The z critical value at 0.01 significance level is:
[tex]z_{critical} = -2.33[/tex]
Conclusion: Since the test statistic does not fall in the critical region, therefore, we fail to reject the null hypothesis, and conclude that there is not sufficient evidence to say that the population proportion of women athletes who graduate from the university is now less than 67%.
Answer: No
Step-by-step explanation:By considering the given information , the null and the alternative hypotheses will be :-
[tex]H_0: p=0.67\\\\H_a: p<0.67[/tex]
Since the alternative hypotheses is left-tailed , so the test applied here is left-tailed.
Sample size : n= 42
The sample proportion of graduated : [tex]\hat{p}=\dfrac{23}{42}\approx0.55[/tex]
The test statistic for population proportion :-
[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
i.e. [tex]z=\dfrac{0.55-0.67}{\sqrt{\dfrac{0.67(1-0.67)}{42}}}\approx-1.65[/tex]
The p-value : [tex]P(z<-1.645)=0.0494715[/tex]
Since the p-value is greater than the significance level, then we do not reject the null hypothesis.
Hence, it does not give enough evidence to indicate that the population proportion of women athletes who graduate from the university is now less than 67%.
For the function y=3x, what is the output when the input is -4?
Answer:
x is the input, y is the output
Step-by-step explanation:
Answer:
I believe the answer is -12.
Step-by-step explanation:
If the input if the x value, then y would be equal to -12.
naomis fish is 40 ml long her guinea pig is 25 cm long how much longer is her guinea pig than her fish
Answer:
the guinea pig is 21 cm longer
Step-by-step explanation:
fish = 40 mm
guinea pig 25 cm
convert the fish to cm
1 cm = 10 mm
40 mm * 1 cm/10 mm = 4 cm
guinea pig - fish
25 cm - 4 cm
21 cm
the guinea pig is 21 cm longer
James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They despoit $400. Into the account each month. How much will be in the account after 20 years.
Answer:
$128,088.54
Step-by-step explanation:
Year Year Deposits Year Interest Total Deposits Total Interest Balance
1 $4,800.00 $72.10 $4,800.00 $72.10 $4,872.10
2 $4,800.00 $207.79 $9,600.00 $279.89 $9,879.89
3 $4,800.00 $347.25 $14,400.00 $627.15 $15,027.15
4 $4,800.00 $490.60 $19,200.00 $1,117.74 $20,317.74
5 $4,800.00 $637.94 $24,000.00 $1,755.68 $25,755.68
6 $4,800.00 $789.38 $28,800.00 $2,545.06 $31,345.06
7 $4,800.00 $945.04 $33,600.00 $3,490.11 $37,090.11
8 $4,800.00 $1,105.04 $38,400.00 $4,595.14 $42,995.14
9 $4,800.00 $1,269.49 $43,200.00 $5,864.63 $49,064.63
10 $4,800.00 $1,438.52 $48,000.00 $7,303.15 $55,303.15
11 $4,800.00 $1,612.26 $52,800.00 $8,915.41 $61,715.41
12 $4,800.00 $1,790.83 $57,600.00 $10,706.24 $68,306.24
13 $4,800.00 $1,974.38 $62,400.00 $12,680.62 $75,080.62
14 $4,800.00 $2,163.05 $67,200.00 $14,843.67 $82,043.67
15 $4,800.00 $2,356.96 $72,000.00 $17,200.63 $89,200.63
16 $4,800.00 $2,556.28 $76,800.00 $19,756.91 $96,556.91
17 $4,800.00 $2,761.14 $81,600.00 $22,518.05 $104,118.05
18 $4,800.00 $2,971.72 $86,400.00 $25,489.77 $111,889.77
19 $4,800.00 $3,188.15 $91,200.00 $28,677.92 $119,877.92
20 $4,800.00 $3,410.62 $96,000.00 $32,088.54 $128,088.54
Answer:
The account after 20 years is $73798.8.
Step-by-step explanation:
Given : James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They despoit $400. Into the account each month.
To find : How much will be in the account after 20 years ?
Solution :
Using monthly payment formula,
[tex]M=\frac{\text{Amount}}{\text{Discount factor}}[/tex]
Discount factor is [tex]D=\frac{1-(1+i)^{-n}}{i}[/tex]
Substitute in the formula,
[tex]\text{Amount}=M\times \frac{1-(1+i)^{-n}}{i}[/tex]
Where, M=$400 amount deposited monthly
r= 2.75%=0.0275 is the interest rate
[tex]i=\frac{0.0275}{12} =0.00229[/tex]
t=20 years is the time
[tex]n=12\times 20=240[/tex]
Substitute the value,
[tex]\text{Amount}=400\times \frac{1-(1+0.00229)^{-240}}{0.00229}[/tex]
[tex]\text{Amount}=400\times \frac{1-0.5775}{0.00229}[/tex]
[tex]\text{Amount}=400\times 184.497[/tex]
[tex]\text{Amount}=73798.8[/tex]
Therefore, the account after 20 years is $73798.8.
______-8=9
Blank -8=9
Answer:17
Step-by-step explanation:8+9 =17
Common denominator for 9/15 and 4/9
Answer:
45 and 36
Step-by-step explanation:
The common denominator for the two proper fractions is 45
What are proper fractions?A proper fraction is a fraction which has its numerator value less than the denominator. For example, ⅔, 6/7, 8/9, etc. are proper fractions.
Given here: The proper fractions 9/15 and 4/9
now LCM(9,15) = 45
Thus, 9×3/45=27/45 , 4×5/45=20/45
Hence, The common denominator for the two proper fractions is 45
Learn more about proper fractions here:
https://brainly.com/question/12099974
#SPJ5
Alana earnerd money doing chores. Her grandmother agreed to add $4.00 to the amount Alana earned and then give her half of that sum. Alana's grandmother gave her gave her $4.25. Write and solve an equation to find the amount of Alana's donation
Answer:
Hence amount of Alana's donation is $4.5.
Step-by-step explanation:
Amount of Alana's donation = x
Her grandmother agreed to add $4.00 to the amount Alana earned.
So new amount of money = (x+4)
She gives only half of the sum which is (x+4)/2.
She gave her $4.25 so both values must be equal.
[tex]\frac{\left(x+4\right)}{2}=4.25[/tex]
[tex]x+4=4.25*2[/tex]
[tex]x+4=8.5[/tex]
[tex]x=8.5-4[/tex]
[tex]x=4.5[/tex]
Hence amount of Alana's donation is $4.5.
Alana earned $4.50 from doing chores before her grandmother added an additional $4.00 and then gave her half of the total, which was $4.25.
The question relates to finding out how much money Alana earned by doing chores before her grandmother added $4.00 and then gave her half. In this scenario, we let x represent the amount of money that Alana earned from doing chores. According to the information provided, Alana's grandmother agreed to add $4.00 to Alana's earnings and then give her half of the total sum. This can be expressed as:
(x + 4.00) / 2 = 4.25
To solve for x, we first multiply both sides of the equation by 2 to get rid of the denominator:
x + 4.00 = 4.25 * 2
x + 4.00 = 8.50
Next, we subtract $4.00 from both sides of the equation to solve for x:
x = 8.50 - 4.00
x = 4.50
Therefore, the amount of money Alana earned from doing chores is $4.50.
Which expression is equivalent to 36x^2-25
Answer
The answer is the fourth one or D.
Step-by-step explanation:
Answer:
THE ANSWER IS D
Step-by-step explanation:
I DID TEST GOT 100
Solve using elimination
2x+5y=34
x+2y=14
2x + 5y = 34
x+2y = 14
Multiply the second equation by two to create like terms for one variable.
2(x+2y = 14)
2x + 4y = 28
2x + 5y = 34
2x + 4y = 28 -- Subtract.
y = 34.28 = 6
Solve for x
x + 2(6) = 14
x + 12 = 14
x = 2
Check:
2 + 2(6) = 14
2 + 12 = 14
14 = 14
Answer:
X = 2
Y = 6
If a,b,c,d are replaced by four different digits from 1 to 9, inclusive, then what's the largest possible value for a.bc + 0.d ?
Answer:
Step-by-step explanation:
I'm not sure but I would nominate 9 8 7 6 written this way.
9.86
0.7
10.56
Answer:
9.86 plus 0.7 is 10.56
Step
An author has 18 pages to send to a publisher. The author has only small envelopes and can't fit all the pages into a single envelope. It ends up taking 6 envelopes to hold all the pages. If each envelope has the same number of pages in it, how many pages are there in each envelope? A) 2 pages B) 3 pages C) 4 pages D) 5 pages
Diet cola was on sale last week, it cost $10 for every 4 pack. How much do 2 packs of diet cola cost
Answer:
Step-by-step explanation: Your answer to this question is 5$. Reason is because for 4 packs is 10$. You are trying to figure out how much it will be for 2 packs. The only thing you have to do is divide 10$ by 2 which should give you 5. Hope this helps!!!!
Please mark brainliest!!!!☺
what two numbers have 90 as their lcm and 810 as their product
Answer:
9,90
Step-by-step explanation:
Since their lack is 90, we can divide 810 by 90 and get 9. So 9 is their common factor. So 9 and 90.
To find two numbers with 90 as their LCM and 810 as their product, prime factorize 810, and choose two numbers from the prime factors that satisfy the conditions.
Explanation:The question asks to find two numbers that have 90 as their lowest common multiple (LCM) and 810 as their product.
To find these numbers, we need to first prime factorize 810. The prime factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5.
Now, we need to choose two numbers from these prime factors such that their product is 810 and their LCM is 90. Since 90 = 2 x 3 x 3 x 5, we can choose 3 x 3 x 2 = 18 and 5 as the two numbers.
which of the following expressions are equivalent to 2/x^8-y^8? choose all that applyA.2/(x^4-y^4)*1/(x^4+y^4)B.2/(x^4)^2-(y^4)^2C.2/(x4-y^4)*1/(x^4-y^4)D.1/(x^4-y^4)*1/(x^4+y^4)
Answer: option a and b are correct :)
Step-by-step explanation:
0.524 as a percentage
Answer:
52.4%
Step-by-step explanation:
Simply multiply the value with 100 to find the percentage
thus 0.524× 100 = 52.4%
To convert the decimal 0.524 to a percentage, you multiply it by 100, which results in 52.4%.
Explanation:To convert 0.524 to a percentage, you multiply the number by 100. This is because when converting a decimal to a percentage, you are essentially calculating how many parts out of 100 it represents. Thus, converting the decimal 0.524 to a percentage involves the calculation:
0.524 × 100 = 52.4%.
So, the decimal 0.524 is equal to 52.4% when expressed as a percentage. This concept is useful in various contexts such as interpreting statistics, understanding the rise in cost of living, or when calculating a rate of growth or decline in a given scenario.
Given the regular decagon (10-sided polygon), which statements are true?
Choose all that apply
A. The polygon has 90° rotational symmetry
B. The polygon has 36° rotational symmetry
C. The polygon has 144° rotational symmetry
D. The polygon has point symmetry
The regular decagon has 36° rotational symmetry and point symmetry because it can map onto itself by rotating 36° and when flipped 180° around its center.
Explanation:The subject of the question is a regular decagon, which is a 10-sided polygon.
To find out which statements are true regarding its symmetry, consider that rotational symmetry of a polygon is determined by the angle of rotation that maps the polygon back onto itself without altering its general outline.
For a regular decagon, the angle of rotation that achieves this is 360 degrees divided by the number of sides, which is 10 in this case.
Therefore, the correct angle of rotational symmetry is 360/10 = 36 degrees.
Thus, the correct answer from the provided options is:
B. The polygon has 36° rotational symmetryD. The polygon has point symmetryThe variables y and x have a proportional relationship, and y = 9 when x = 2.
What is the value of y when x = 3?
Answer: [tex]y=13.5[/tex]
Step-by-step explanation:
1. By definition, if [tex]y=9[/tex] when [tex]x=2[/tex], then:
[tex]\frac{y}{x}=\frac{9}{2}[/tex]
2. Keeping this on mind, to find the value of [tex]y[/tex] when [tex]x=3[/tex], you must apply the following proccedure:
[tex]\frac{y}{3}=\frac{9}{2}[/tex]
3. Now, you must solve for [tex]y[/tex], as following:
[tex]y=3(\frac{9}{2})\\y=\frac{27}{2}\\y=13.5[/tex]
4. Then, the result is:
[tex]y=13.5[/tex]
Jasmine borrowed $15,000 for 8 years and she paid $6,600 in interest. What was the interest rate for Jasmine's loan?
A) .055%
B) 6%
C) 3.25%
D) 5.5%
Answer:
D) 5.5%
Step-by-step explanation:
To find the interest rate, use the equation: I = prt
I = Interest = $6,600
p = principal = $15,000
r = rate = unknown
t = time = 8 years
Now plug the numbers into the equation.
6,600 = 15,000 * r * 8
6,600 = 120,000 * r
Now isolate the variable by dividing both sides of the equation by 120,000.
0.055 = r
Now change the rate to a percent by moving the decimal point 2 digits to the right.
5.5% = r OR r = 5.5%
Read more on Brainly.com - https://brainly.com/question/11797838#readmore
Determine the correct scientific notation form of the number. 518,000,000 A) 5.18 x 106 B) 5.18 x 108 C) 51.8 x 107 D) 518 x 106
Answer:
It's B ) 5.18*108
Step-by-step explanation:
Multiplying these two gives you 518,000,000
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
518, 000, 000
So, it can be written as
[tex]518\times 10^6[/tex]
But we need a scientific notation which means that decimal should be put after first number.
So, scientific notation would be
[tex]5.18\times 10^8[/tex]
Hence, Option 'B' is correct.
What is the additive inverse of the complex number –8 + 3i?
Additive inverse is what you add to a number to get zero.
So, by definition, the additive inverse of (-8 + 3i) would be (8 - 3i).
if the formula for the perimeter of a rectangle is p=2l+2w, what is the formula for w in terms of p and l
Answer:
(p-2l)/2 = w
Step-by-step explanation:
p=2l+2w
We want to solve for w.
The first step is to subtract 2l from each side
p-2l=2l-2l+2w
p-2l=2w
Then we will divide each side by 2 to isolate w
(p-2l)/2 = 2w/2
(p-2l)/2 = w
If x = 6 units and y = 15 units, then what is the volume of the square pyramid shown above?
Answer:
I need the picture of the pyramid to solve.
Step-by-step explanation:
which equation and ordered pair represent the correct vertex form and vertex for j(x) = x^2 - 12 x +7?
Answer:
see explanation
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given the equation in standard form : ax² + bx + c : a ≠ 0
then the x-coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
j(x) = x² - 12x + 7 is in standard form
with a = 1, b = - 12 and c = 7, hence
[tex]x_{vertex}[/tex] = - [tex]\frac{-12}{2}[/tex] = 6
substitute x = 6 into j(x) for y- coordinate
y = 6² - 12(6) + 7 = 36 - 72 + 7 = - 29
vertex = (6, - 29 ) and
j(x) = (x - 6)² - 29 ← equation in vertex form
School started at 8:05 a.m. and ended at 2:40 p.m. The work below shows Erica’s calculation of the length of the school day.
Erica made errors by failing to borrow 1 hour when subtracting the hours and misrepresenting the final duration of the school day as 5 hours and 25 minutes instead of the correct 6 hours and 45 minutes.
Erica's calculation:
7hr 65
8 hr 5 min -
2hr 40 min
---------------
5hr 25 minutes
1. **Subtraction of minutes:**
Erica correctly subtracted the minutes: 5 minutes - 40 minutes = 25 minutes.
2. **Subtraction of hours:**
Here's where the error lies. Erica attempted to subtract the hours directly without borrowing. Let's correct this step:
Borrow 1 hour from the 7 hours:
[tex]\[7 \text{ hours} - 1 \text{ hour} = 6 \text{ hours}\][/tex]
Now subtract the remaining hours:
[tex]\[6 \text{ hours} - 2 \text{ hours} = 4 \text{ hours}\][/tex]
So, the corrected calculation is:
6 hr 65
4 hr 25 min -
2hr 40 min
---------------
1hr 45 minutes
```
Therefore, the correct length of the school day is 6 hours and 45 minutes, not 5 hours and 25 minutes.
Complete correct question:
School started at 8:05 a.m. and ended at 2:40 p.m. The work below shows Erica’s calculation of the length of the school day.
7hr 65
8 hr 5 min -
2hr 40 min
---------------
5hr 25 minutes
Which two errors did Erica make?
which graph shows rotation?
Which of the following angles is not coterminal with the other three? Question 15 options: 231° 51° –129° 591°
Answer:
51
Step-by-step explanation
Given angles can break like this :
231 = 180 +51
51= 0+51
-129= -180+51
591= 360+180+51
so angles 231, -129 and 591 corresponds to the same terminal while 51 is not related to the particular quadrant . so 51 is not co-terminal with the other three angles .
if i clock out at 11:53 and i have 30 Minutes what time do i get in?
Answer:
you get in at 11:23
Step-by-step explanation:
53-30=30
so 11:23
Answer:
11:27
Step-by-step explanation:
What is the length of chord cd in 0 below
Answer:
I believe 5 units
Step-by-step explanation: I believe it is five units because the other one Chord AB is also 5 units. Plz mark brainliest if correct
Answer:
5
Step-by-step explanation:
Because it is at same distance as other one from center so they have same lengths
Use the double intercept approach to find the graph of –1 = –y + x. A. B. C. D.
Answer:
Intercepts at (-1, 0) and (0, 1).
Step-by-step explanation:
The double intercept form for the equation of a line is
ax + by = 1
-1 = -y + x
y = 0
x = -1 Multiply each side by -1
-x = 1
The x-intercept is at (-1, 0).
=====
x = 0
-1 = -y Multiply each side by -1
y = 1
The y-intercept is at (0, 1).
=====
The graph (see below) is a straight line passing through the points (-1, 0) and (0, 1).
What is the total amount of sap trees produced that day? Please tell me ASAP(as soon as possible) because this lesson is due for a grade tomorrow and I’m stuck on this question. Please tell me now because I have to go, Thanks!
Answer: 5 gallons
Step-by-step explanation:
There are 3 x's on the graph for 1/4, so 1/4 times 3=3/4
There are 2 x's on the graph for 3/8, so 3/8 times 2=3/4
There are 4 x's on the graph for 5/8, so 5/8 times 4=5/2
There is only 1 x for 1, so it will remain 1.
So if you add these up,
3/4+3/4+5/2+1
6/4+10/4+1
16/4+1
4+1
There is 5 gallons of sap produced that day.
Hope this helped!
Answer:
5 gallons
Step-by-step explanation:
Number of x's on 1/4 = 3
So, amount of sap trees produce that day = 3/4
Number of x's on 3/8 = 2
So, amount of sap trees produce that day = 2 × 3/8 = 3/4
Number of x's on 5/8 = 4
So, amount of sap trees produce that day = 4 ×5/8 = 5/2
Number of x's on 1 = 1
So, amount of sap trees produce that day = 1 × 1 =1
Therefore,
total amount of sap the trees produce = amount of sap trees produce based on number of x's on 1/4 + amount of sap trees produce based on number of x's on 3/8 + amount of sap trees based on number of x's on 5/8 + amount of sap trees based on number of x's on 1 = [tex]\frac{5}{2}+\frac{3}{4}+\frac{3}{4}+1=\frac{10+3+3+4}{4}=\frac{20}{4}=5\,\,gallons[/tex]