The results for a survey of 130 students who were selected randomly are listed below:

•70 students have a cell phone plan with company X
•32 students have a cell phone plan with company Y
•28 students do not have a cell phone
The total population of students was 390. Based on the data, what is the best approximation for the total number of students who have a cell phone plan with company X?

A) 210
B) 96
C) 84
D) 724

Answer:

45 and 36

Step-by-step explanation:

The common denominator for the two proper fractions is 45

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

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Answer:

r = {-8, -4}

Step-by-step explanation:

Simplifying

r2 = -32 + -12r

Solving

r2 = -32 + -12r

Solving for variable 'r'.

Reorder the terms:

32 + 12r + r2 = -32 + -12r + 32 + 12r

Reorder the terms:

32 + 12r + r2 = -32 + 32 + -12r + 12r

Combine like terms: -32 + 32 = 0

32 + 12r + r2 = 0 + -12r + 12r

32 + 12r + r2 = -12r + 12r

Combine like terms: -12r + 12r = 0

32 + 12r + r2 = 0

Factor a trinomial.

(8 + r)(4 + r) = 0

Subproblem 1

Set the factor '(8 + r)' equal to zero and attempt to solve:

Simplifying

8 + r = 0

Solving

8 + r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + r = 0 + -8

Combine like terms: 8 + -8 = 0

0 + r = 0 + -8

r = 0 + -8

Combine like terms: 0 + -8 = -8

r = -8

Simplifying

r = -8

Subproblem 2

Set the factor '(4 + r)' equal to zero and attempt to solve:

Simplifying

4 + r = 0

Solving

4 + r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + r = 0 + -4

Combine like terms: 4 + -4 = 0

0 + r = 0 + -4

r = 0 + -4

Combine like terms: 0 + -4 = -4

r = -4

Simplifying

r = -4

Solution

r = {-8, -4}

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?

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!!!!☺

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

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

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 .

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

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%.

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.

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]

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

Answer:

D

Step-by-step explanation:

The number of points the stock changed in a week will be equal to -1 2/3.  Hence, option D is correct.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given information in the question,

Value of a stock increased 14 2/3 twice in one week.

Then, its value will be.

= 2 × 14 2/3

= 2 × 44/3

= 88/3

Then, the other 3 days it decreased by 10, 8 1/3, and 12 2/3 points.

So, the total decrease will be,

10 + 25/3 + 38/3

= (30 + 25 + 38)/3

= 93/3

So, the value of stock change will be,

88/3 - 93/3

= - 5/3 or,

In mixed fraction form, it can be written as -1 2/3.

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Answer:

1 foot 6 inches

Step-by-step explanation:

That would be the difference between 12 feet and 10 feet 6 inches.

Answer:

the answer is 18 inches (:

Step-by-step explanation:

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.

Answer:

I need the picture of the pyramid to solve.

Step-by-step explanation:

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]

Answer:

finding the number of equal-sized parts into which a number can be split

Step-by-step explanation:

Let us split the number 80 into 10 equal parts.

80 = 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8

= 8 + 8 + 8 +...to 10 times

= 8(10)

or [tex]\frac{80}{10} =8[/tex]

So, if N is any number and p is one of its equal part, then the number of parts into which N is split by p is [tex]\frac{N}{p}[/tex].

Hence, finding the number of equal-sized parts is best modeled with a division expression.

Answer:

Finding the number of equal-sized parts into which a number can be split

Step-by-step explanation:

The correct answer is - finding the number of equal-sized parts into which a number can be split.

Division is defined as the action of splitting something in equal parts.

So, here the first option states this definition.

Taking an example of: Lets divide 100 in 5 equal parts. So, this becomes

[tex]\frac{100}{5}=20[/tex]

This can be also written like : [tex]20+20+20+20+20=100[/tex]

So, division is where you split something equally.

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%

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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.

Answer:

you get in at 11:23

Step-by-step explanation:

53-30=30

so 11:23

Answer:

11:27

Step-by-step explanation:

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

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%.

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.

Knowing base angles theorem, we know that if the triangle is isosceles, then the bottom base angles and congruent. That means that, we must subtract 80 from 180 and then divide the number by 2, since we must find 1 base angle. This brings us to the answer, 50 degrees.

Hope this helps! <3

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).

Answer: option  a and b are correct :)

Step-by-step explanation:

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.

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:

Answer:

2 3/4

Step-by-step explanation:

22/8 = 2 6/8 = 2 3/4

Hope that helps and feel free to ask me more questions :)Brainliest??

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