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
givi [52]
3 years ago
15

Find the exact solution to the equation. (2 points) five to the power of quantity nine minus three x equals one hundred and twen

ty five.
Mathematics
1 answer:
Anna35 [415]3 years ago
8 0

Answer:

x = 2

Step-by-step explanation:

Five to the power of quantity nine minus three x equals one hundred and twenty five.

----------------------

  • 5^(9 - 3x) = 125
  • 5^(9 - 3x) = 5^3
  • 9 - 3x = 3
  • 3x = 9 - 3
  • 3x = 6
  • x = 6/3
  • x = 2
You might be interested in
A catering service offers 5 appetizers,4 main courses, and 8 desserts. A customer is to select 4 appetizers,2 main courses,and 3
Alisiya [41]

Answer:

468 ways

Step-by-step explanation:

Given: A catering service offers 5 appetizers, 4 main courses, and 8 desserts

To find: number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts.

Solution:

A permutation is an arrangement of elements such that order of elements matters and repetition is not allowed.

Number of appetizers = 5

Number of main courses = 4

Number of desserts = 8

Number of ways of choosing k terms from n terms = nPk=\frac{n!}{(n-k)!}

Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts =  5P4+4P2+8P3

=\frac{5!}{(5-4)!}+\frac{4!}{(4-2)!}+\frac{81}{(8-3)!}\\=5!+\frac{4!}{2!}+\frac{8!}{5!}\\=5!+(4\times 3)+(8\times 7\times 6)\\=120+12+336\\=468

So, this can be done in 468 ways.

7 0
3 years ago
Two students wanted to race 100 yards across a football field. How many feet will they run? (
Molodets [167]

Answer:

300 feet

Step-by-step explanation:

6 0
3 years ago
One number is 9 times a first number. a third number is 100 more than the first number. if the sum of the three numbers is 727​,
Zielflug [23.3K]
First number: 57
Second number: 513
Third number: 157

8 0
3 years ago
A truck is rented at $40 per day plus a charge per mile of use. The truck traveled 15 miles in one day, and the total was $115.
Sergio039 [100]

Answer: The equation you will use would be 40x + 15x =115. you're welcome.

4 0
3 years ago
Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at ru
valina [46]
  1. For this study, we should use t-test and the null and alternative hypotheses would be given by H₀: μ = 7 and H₁: μ < 7.
  2. The test statistic is -1.941 and the p-value (0.0381) is <u>greater than</u> α = 0.01.
  3. Based on this, we should <u>fail to reject</u> the null hypothesis.
  4. Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

<h3>What is a null hypothesis?</h3>

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

<h3>How to calculate value of the test statistic?</h3>

The test statistics can be calculated by using this formula:

t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }

<u>Where:</u>

  • x is the sample mean.
  • u is the mean.
  • is the standard deviation.
  • n is the number of hours.

For this study, we should use t-test and the null and alternative hypotheses would be given by:

H₀: μ = 7

H₁: μ < 7

t=\frac{6.3\;-\;7}{\frac{1.3}{\sqrt{13} } }\\\\t=\frac{-0.7}{\frac{1.3}{3.6056 } }

t = -0.7/0.3606

t = -1.941.

For the p-value, we have:

P-value = P(t < -1.9412)

P-value = 0.0381.

Therefore, the p-value (0.0381) is <u>greater than</u> α = 0.01. Based on this, we should <u>fail to reject</u> the null hypothesis.

Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

Read more on null hypothesis here: brainly.com/question/14913351

#SPJ1

4 0
2 years ago
Other questions:
  • Which established actor stared in The Godfather as Don Vito? a. Marlon Brando b. John Wayne c. Henry Fonda d. None of the above
    10·1 answer
  • Kendall bought 4 1/5 pounds of chicken she cooked 1/3 of it how many pounds of chicken are uncooked
    12·2 answers
  • Which shows one way to determine the factors of x^3+4x^2+5x+20
    7·1 answer
  • Abby read 1/10 of a novel in 1/2 an hour. How long will it take her to read one novel?
    6·1 answer
  • Solve the equation: k^2+5k+13=0
    11·1 answer
  • What value of a makes the following equation true?<br> a−8a=210
    10·1 answer
  • HELP FAST!!! <br> Solve using substitution.<br> y = 8<br> 5x – 3y = -9
    11·1 answer
  • According to a recent study, US adults spent on average 29 hours per month using the PC internet. The time spent on the PC inter
    13·1 answer
  • Classify as a rational or irrational: -8.2
    9·2 answers
  • A town in america has 2400 families and 4200 cars. What is the family : cars ratio? ​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!