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pashok25 [27]
2 years ago
8

Marie has 55 in her bank account and she would like to buy a video game system that cost 395. Marie save $60 for each hour she w

orks how many hours must you work to have enough money to buy the video game system? ​
Mathematics
1 answer:
irinina [24]2 years ago
6 0

Answer:

6 hours

Step-by-step explanation:

She already has $55, so we can subtract that from $395.

395-55 = 340

So now we can figure out how many hours she needs to work. We'll set up the problem like this, where x = the number of hours needed:

60x = 340

Divide each side by 60: x = 5.666(repeating decimal)

Rounding up to the nearest hour, Marie needs to work 6 hours.

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The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of vi
baherus [9]

Answer: 2185

Step-by-step explanation:

Let p be the proportion of visitors are campers.

Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.

The prior proportion of visitors are campers : p=0.35

Allowable error : E= 2%= 0.02

We know that the z-value for 95% confidence = z_c=1.96

Then by Central Limit Theorem , the required sample size would be :

n=p(1-p)(\dfrac{z_{c}}{E})^2

\Rightarrow\ n=0.35(1-0.35)(\dfrac{1.96}{0.02})^2\\\\ n= 0.35(0.65)(9604)

Simply , we get

n=2184.91\approx2185  [Rounded to the next whole number.]

Hence, the smallest sample size to estimate the population proportion of campers =2185

7 0
2 years ago
Point F is on circle C. What is the length of line segment GF? 12.5 units 15.0 units 17.5 units 20.0 units
geniusboy [140]
The answer:
According to the image, <span>the length of line segment GF can be found with
</span>GF= GC +CF
CF is one the radius, so CF=7.5
to find GC, we can apply Pythagorean theorem on the right triangle GEC
it is 
GC² =GE² + EC² = 10² +7.5² =156.25, and then GC= sqrt(156.25)=12.5

therefore, GF= GC +CF=12.5+7.5=20

so the answer is <span>20.0 units</span>
7 0
2 years ago
plz help me. its " joseph runs 2/3 of a mile in 8 minutes. if joseph runs at that speed, how long will it take him to run 1 mile
Mandarinka [93]

Answer:

He runs 2/3 mile in 8 mins, he runs one mile in 12 mins

7 0
2 years ago
Read 2 more answers
In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations wil
Virty [35]

Answer:

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

Step-by-step explanation:

The center for Simulation A and Simulation B will be roughly equal.

Overall Sample size of Simulation A = 1500 * 100 = 150000

Overall Sample size of Simulation B = 2000 * 50 = 100000

Since the sample size for Simulation A is greater, the variability of Simulation will be less.

Therefore, The answer is  C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

3 0
2 years ago
Jalen inherited a collection of vintage comic books. An appraiser separated the comic
sladkih [1.3K]

Jalen has total 63 comic books.

Step-by-step explanation:

Given,

Total value of comic books = $3135

Let,

Number of $45 comic books = x

Number of $65 comic books = y

According to given statement;

45x+65y=3135     Eqn 1

x=y+33                  Eqn 2

Putting value of x from Eqn 2 in Eqn 1

45(y+33)+65y=3135\\45y+1485+65y=3135\\110y=3135-1485\\110y=1650\\

Dividing both sides by 110

\frac{110y}{110}=\frac{1650}{110}\\y=15

Putting y=15 in Eqn 2

x=15+33\\x=48

Total comic books = x+y

Total comic books = 48+15 = 63

Jalen has total 63 comic books.

Keywords: addition, elimination method

Learn more about elimination method at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

7 0
2 years ago
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