Option a to buy a house has a monthly cost of 618 dollars, up-front cost of 24,000 dollars, and advantages of a home equity and a yard for a pet. option b to rent close to work has a monthly cost of 950 dollars, up-front cost of 1,900, and advantages of convenient location, garage, and pool. option c to rent further out has a monthly cost of 600 dollars, up-front cost of 1,200, and advantages of 2 bedrooms, light-rail, and pool. which housing choice fits within your recommended monthly budget of $650-780? which option requires you to have at least $24,000 saved?

Step-by-step explanation:

x = miles ridden on Thursday

y = miles ridden on Friday

x + y = 249

y = x + 35

we can use the identity of the second equation in the first equation and solve :

x + (x + 35) = 249

2x + 35 = 249

2x = 214

x = 107 miles

y = x + 35 = 107 + 35 = 142 miles

on Thursday she rode 107 miles.

on Friday 142 miles.

The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The population mean with a 95% confidence interval is 18.7±5.9.

The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.

In order to find the population of the mean, we need to subtract the margin of error from the sample mean. Therefore, the population mean with a 95% confidence interval is 18.7±5.9.

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Answer:

angle BCD = 108

Step-by-step explanation:

opposite angles in a cyclic quadrilateral add to 180

so angle BDC is 180 - 72 = 108

what are the angles 32 and 114 there for??

Answer:

Sorting

Step-by-step explanation:

Answer:78.6[tex]ft^{2}[/tex]

Step-by-step explanation:

Area=π[tex]r^{2}[/tex]

Area=[tex]\frac{22}{7}[/tex] x [tex]5^{2}[/tex]

=[tex]\frac{22}{7}[/tex] x 25

=78.6[tex]ft^{2}[/tex]

Answer:

14 weeks

Step-by-step explanation:

First, write as an equation with x the number of weeks Ayan and Gemma's money:

-> Ayan's money: 48+10x because every week he wins 10 more dollars

-> Gemma's money 300-8x

Finally just solve the equation for x where ayan's money = gemma's money so :

48+10x=300-8x

add 8x on both side: 48+18x=300

substract 48 on both side to isolate x : 18x =252

devide by 18 on both side : x=14

Answer:

Step-by-step explanation:

It is given that the base radius of a cylinder is 7cm and the height is 35cm and we are asked to find the volume of the cylinder.

We must know this formula :

Now substituting the values :

⇒ Volume(Cylinder) = 22/7 × (7)² × 35

⇒ Volume(Cylinder) = 22/7 × 49 × 35

⇒ Volume(Cylinder) = 22 × 7 × 35

⇒ Volume(Cylinder) = 22 × 245

⇒ Volume(Cylinder) = 5390

Therefore,

Answer:

Yes it is 25

Step-by-step explanation:

10 - 25 = -15

-15 + 25 = 10

Answer:

you need 30 slices

a minimum of 4 boxes of pizza

Step-by-step explanation:

Answer: 11:15 p.m 5:15 p.m.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

This is a very interesting question,

Let's start off by determining what kind of function this is,

by looking at the graph we can say this is an almost linear function. So the correlation between the 2 values must be that if one increases the other increases according to a certain ratio which is our slope.

We want to eliminate wrong answers.

A. Does it make sense that an animal acquires more legs the taller it is?

This doesn't make any sense so A is out.

B. This is like saying, if i'm born in august i must be a good manager. There absolutely no correlation with the month you're born in, to your height.

So B is out.

C. Thus might actually make sense, the more you work, the more tips you make.

D. So basically here i'm saying is, the more i study the more activities i can do? this would be logical if the function were to be a line with a negative slope or "a decreasing line" or a "line going down". But this is not the case.

D is out.

so C must be our answer

Answer: 107 meters

Step-by-step explanation:

There are 2 ways to solve this:

1. The formula for arc length is: arc length = angle (in radians) * radius.

Thus, convert 123 degrees to radians by multiplying it by (pi/180), and then multiply this number by 50 (half of the diameter is the radius) in order to get 107.

2. Find the circumference of the track using C = pi*diameter and get 314.16. Then, set up a proportion: 314.16 meters / 360 degrees = x meters / 123 degrees and solve to get 107 :)

Answer:

8.7kilos

Step-by-step explanation:

70.22 divided by 8

hope this helps!

Answer:

Step-by-step explanation:

To check , substitute x = -5 and y = 5 into the given equation:

y = x

5 = -5

which is not true so (-5, 5) is not a solution.

The relative risk of stroke in hypertensive as compared to non-hypertensive persons will be 1.8367.

From the complete information, those with hypertension that had strike is 12. Those with no hypertension but had stroke is 4.

Also, those with hypertension but don't have stroke is 37 while those with no hypertension but had stoke is 26.

Therefore, the relative risk will be:

= (12/12 + 37) / (4/4 + 26)

= 12/49 / 4/30

= 1.8367

In conclusion, the correct option is 1.8367.

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Answer:

lines a and b must be parallel

Step-by-step explanation:

if lines a and b are parallel in plane r and q, then the lines must always be parallel.

Answer:

A

Step-by-step explanation:

on e2020

Using the Central Limit Theorem, we have that:

a) Since there are at least 10 successes and 10 failures, the condition is met.

b) Using the formula [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], with n = 400 and p = 0.11, the standard error is of 0.0156.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

Item a:

44 are found to be defective, hence:

Which means that the conditions are met.

Item b:

We have that the parameters are:

[tex]n = 400, p = \frac{44}{400} = 0.11[/tex]

Hence, the standard error is given by:

[tex]s = \sqrt{\frac{0.11(0.89)}{400}} = 0.0156[/tex]

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Answer:

you may check in your book this question is related with stastics

Answer:

(S)=0

Step-by-step explanation:

102 is what percent of 120? = 85.

Answer:

122.4

Step-by-step explanation:

this is easy, all we need to do is multiply 120 by 1.02, since it is 2%, and it is increasing not decreasing. when we do that, we get 122.4. to check, you can also do .02x120, to get 2.4. please mark as brainlest.

Answer:

37.5%

Step-by-step explanation:

the percentage is calculated as a fraction of the quantities multiplied by 100% , that is

[tex]\frac{6}{16}[/tex] × 100% = 0.375 × 100% = 37.5%

Answer:

37.5%

Step-by-step explanation:

6/16×100

37.5%

brainiest please

Answer:

46 are left handed

Step-by-step explanation:

divide 10 by 85 and you get 0.11764705882352941176470588235294 then multiply that by 391 and you get 46

3 is less than w , 7 is greater than or equal to w

[tex]3 < w \\ 7 \geqslant w[/tex]

Answer:

3 < w = 7 ≥ w

Step-by-step explanation:

Less than= "<"

Greater than or equal to = ≥

Answer:

he has to pay 4980$ in tax So its C) 4,980

The amount of income tax that the electrician has to pay is $4980. Then the correct option is C.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

An electrician has an income of $41,500.

The income tax the electrician has to pay is 12%.

Then the amount of income tax that the electrician has to pay will be

Amount of income tax = 0.12 × $41500

Amount of income tax = $ 4980

Thus, the amount of income tax that the electrician has to pay is $4980.

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now, let's make the assumption that the arcXZ has a central angle of 135° and a radius of 17.

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=17\\ \theta =135 \end{cases}\implies s=\cfrac{(135)\pi (17)}{180}\implies s=\cfrac{51\pi }{4}\implies s\approx 40.06[/tex]

There are 372 children, I hope my answer will be of use to you.

By using the known half-life, we can see that if the initial dose is 500mg, after 4 days the medication will be 0.0076 mg.

We define half-life as the time such that the initial amount is reduced to its half.

So, if a given substance has a half-life T, then the amount of substance as a function of time, we have:

S(t) = A*e^{-t*ln(2)/T}

Where t is the variable in time units.

We know that T = 6 hours, and A, the initial dose, is 500 mg, so the formula is:

S(t) = 500mg*e^{-t*ln(2)/6h}

Then after 4 days (or 4*24h = 96h) the amount of medication is:

S(96h) =  500mg*e^{-96h*ln(2)/6h} = 0.0076 mg.

If the initial dose was 750mg, after 4 days the person would have:

S(96h) = 750mg*e^{-96h*ln(2)/6h} = 0.0114 mg

So the person would have:

0.0114 mg -  0.0076 mg = 0.038 mg more of medication.

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Answer:

After 1 year $46,665

Vf = Vi ( 1 + r/m) ^ tm

Step-by-step explanation:

Vf = Final Value

Vi = Initial Value ($45,000)

r = Interest Rate (3.7%, put in decimal form so .037)

m = Compound Rate (amount of times it increases every year, for this it would be 1)

t = Amount of years you are forecasting

45000 * (1 + .037)²

45000 * (1.037)²

45000 * 1.075369

$48,391.605 in 2 years

Answer:

I think it's 8

Step-by-step explanation:

because if you think of an octagon it has eight sides and the only parallel sides is pn the top of the octagon and the bottom of the octagon