1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Goshia [24]
3 years ago
6

Katie earns $8 per hour at her paint job. Her boss gives her a raise of 15%. What is Katie’s hourly wage after her raise? How mu

ch will Katie earn for working a 25- hour work week
Mathematics
2 answers:
kodGreya [7K]3 years ago
7 0

Answer: $9.20 hourly 230 dollars for 25 hour work week

Step-by-step explanation:

Amanda [17]3 years ago
7 0

Answer: 9.20$ hour and 230$ after 25 hours

Step-by-step explanation:

You might be interested in
Suppose a geyser has a mean time between eruptions of 72 minutes. Let the interval of time between the eruptions be normally dis
nikitadnepr [17]

Answer:

(a) The probability that a randomly selected time interval between eruptions is longer than 82 ​minutes is 0.3336.

(b) The probability that a random sample of 13-time intervals between eruptions has a mean longer than 82 ​minutes is 0.0582.

(c) The probability that a random sample of 34 time intervals between eruptions has a mean longer than 82 ​minutes is 0.0055.

(d) Due to an increase in the sample size, the probability that the sample mean of the time between eruptions is greater than 82 minutes decreases because the variability in the sample mean decreases as the sample size increases.

(e) The population mean must be more than 72​, since the probability is so low.

Step-by-step explanation:

We are given that a geyser has a mean time between eruptions of 72 minutes.

Also, the interval of time between the eruptions be normally distributed with a standard deviation of 23 minutes.

(a) Let X = <u><em>the interval of time between the eruptions</em></u>

So, X ~ N(\mu=72, \sigma^{2} =23^{2})

The z-score probability distribution for the normal distribution is given by;

                            Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean time = 72 minutes

           \sigma = standard deviation = 23 minutes

Now, the probability that a randomly selected time interval between eruptions is longer than 82 ​minutes is given by = P(X > 82 min)

       P(X > 82 min) = P( \frac{X-\mu}{\sigma} > \frac{82-72}{23} ) = P(Z > 0.43) = 1 - P(Z \leq 0.43)

                                                           = 1 - 0.6664 = <u>0.3336</u>

The above probability is calculated by looking at the value of x = 0.43 in the z table which has an area of 0.6664.

(b) Let \bar X = <u><em>sample mean time between the eruptions</em></u>

The z-score probability distribution for the sample mean is given by;

                            Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean time = 72 minutes

           \sigma = standard deviation = 23 minutes

           n = sample of time intervals = 13

Now, the probability that a random sample of 13 time intervals between eruptions has a mean longer than 82 ​minutes is given by = P(\bar X > 82 min)

       P(\bar X > 82 min) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{82-72}{\frac{23}{\sqrt{13} } } ) = P(Z > 1.57) = 1 - P(Z \leq 1.57)

                                                           = 1 - 0.9418 = <u>0.0582</u>

The above probability is calculated by looking at the value of x = 1.57 in the z table which has an area of 0.9418.

(c) Let \bar X = <u><em>sample mean time between the eruptions</em></u>

The z-score probability distribution for the sample mean is given by;

                            Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean time = 72 minutes

           \sigma = standard deviation = 23 minutes

           n = sample of time intervals = 34

Now, the probability that a random sample of 34 time intervals between eruptions has a mean longer than 82 ​minutes is given by = P(\bar X > 82 min)

       P(\bar X > 82 min) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{82-72}{\frac{23}{\sqrt{34} } } ) = P(Z > 2.54) = 1 - P(Z \leq 2.54)

                                                           = 1 - 0.9945 = <u>0.0055</u>

The above probability is calculated by looking at the value of x = 2.54 in the z table which has an area of 0.9945.

(d) Due to an increase in the sample size, the probability that the sample mean of the time between eruptions is greater than 82 minutes decreases because the variability in the sample mean decreases as the sample size increases.

(e) If a random sample of 34-time intervals between eruptions has a mean longer than 82 ​minutes, then we conclude that the population mean must be more than 72​, since the probability is so low.

6 0
3 years ago
What is the value of x?<br> X= 10^2 + 8^2
Luden [163]

\:  \:  \:  \:  \:  \:  \:  \:  \: x =  {10}^{2}  +  {8}^{2}  \\ x = 164

Hope it helps

7 0
2 years ago
Read 2 more answers
(5/10)^4 in exponential form
Whitepunk [10]

Answer:

6.25 \times  {10}^{ - 2}

Step-by-step explanation:

{ \bigg( \frac{5}{10} \bigg) }^{4}  \\  \\  =  {(0.5)}^{4}  \\  \\  = 0.0625 \\  \\  = 6.25 \times  {10}^{ - 2}

6 0
3 years ago
Read 2 more answers
Plz HELP!!
Juli2301 [7.4K]

Answer:

1st, 2nd, and 4th

Step-by-step explanation:

8 0
2 years ago
Write the equation for the inverse of y=4arccot(
garri49 [273]
I think you meant "y = 4 arccot (x)."  

This is equivalent to:

 y
---- = arccot x
 4

and so cot (y/4) = x
8 0
3 years ago
Other questions:
  • An initial population of 12 earthworms increases by 4% each year. If the function f(x) = abx models this situation, which functi
    5·1 answer
  • Please simplify.....<br> Attached
    14·2 answers
  • What is the differnce between union and intersection in math
    9·1 answer
  • Pumpkin pies are normally sold for 82 cents. They are now on sale for 55 cents. If Riley buys one, then how much will Riley save
    9·2 answers
  • o convert 8.5 yards to feet, which ratio could you multiply by? A. 3 feet/8.5 yards B. 8.5 yards/3 feet C. 1 yard/3 feet D. 3 fe
    14·1 answer
  • 5. Solve these equations.<br>a. N + 2.3 = -4.7<br>b .2N + 6.8 = -10.2<br>C. N=4= -2.7​
    11·1 answer
  • Can someone help me on this please
    8·1 answer
  • Matt tossed a coin 30 times. The results were 12 heads and 18 tails. What is the experimental probability of tossing heads?
    14·1 answer
  • Find the composite function using the functions bellow . ​
    6·1 answer
  • Jamal runs the bouncy house at a festival. The bouncy house can hold a maximum of 1200 pounds at one time. He
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!