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
tatyana61 [14]
3 years ago
11

Which expression is equivalent to -2 1/4÷ (-2/3)​

Mathematics
1 answer:
Talja [164]3 years ago
3 0

Answer:

-2\dfrac{1}{4}\div\left(-\dfrac{2}{3}\right)=\dfrac{27}{8}=3\dfrac{3}{8}}

Step-by-step explanation:

-2\dfrac{1}{4}\div\left(-\dfrac{2}{3}\right)\qquad\text{the quotient of two negative numbers is positive}\\\\=2\dfrac{1}{4}\div\dfrac{2}{3}\qquad\text{convert the mixed number to the improper fraction}\\\\=\dfrac{2\cdot4+1}{4}\div\dfrac{2}{3}=\dfrac{9}{4}\div\dfrac{2}{3}\\\\\text{dividing by a fraction is the same as multiplying by its reciprocal.}\\\\=\dfrac{9}{4}\cdot\dfrac{3}{2}=\dfrac{9\cdot3}{4\cdot2}=\dfrac{27}{8}\qquad\text{convert to the mixed number}\\\\=3\dfrac{3}{8}

You might be interested in
What is rank correlation?​
Irina-Kira [14]

Step-by-step explanation:

it's any of several statistics that measure an ordinal association. Measures the degree of similarity between two rankings.

6 0
2 years ago
How to find the average rate of change of a linear function?
Inga [223]
In a equation you would look at the slope which would be multiplied by x
In a graph you would do rise over run
For a table you would do burpees which would give you slope or rate of change
8 0
3 years ago
Can you please help me solve this equation? x+9−3≤14
aleksley [76]
X+9-3≤14

Add 3 to the other side. (do the inverse of subtraction)

x+9≤17

Subtract 9 on both sides. (the inverse of addition)

x≤8

I hope this helps!
~kaikers
5 0
3 years ago
It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken to estimate
Hitman42 [59]

Answer:

The minimum sample size is n = 75 so that the desired margin of error is 5 or less.                          

Step-by-step explanation:

We are given the following in the question:

Population variance = 484

Standard deviation =

\sigma^2 = 484\\\sigma =\sqrt{484} = 22

Confidence level = 0.95

Significance level = 0.05

Margin of error = 5

Formula:

Margin of error =

E = z\times \dfrac{\sigma}{\sqrt{n}}\\\\n = (\dfrac{z\times \sigma}{E})^2

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get

E\leq 5\\\\1.96\times \dfrac{22}{\sqrt{n}} \leq 5\\\\\sqrt{n} \geq 1.96\times \dfrac{22}{5}\\\\n \geq (1.96\times \dfrac{22}{5})^2\\\\n \geq 74.373

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.

3 0
2 years ago
What will most likely cause a decrease in predators population
inn [45]
Lack of prey 

Hope this helped.
3 0
2 years ago
Other questions:
  • What is the length of BE?
    8·2 answers
  • Over a 3/12 year period, 27/12 inches of snow fell in Jackson City. What was the average yearly snowfall in Jackson City?
    9·1 answer
  • Karen works for 85 hours over a two week period. SHe earns $1,891.25 over this period. How much does Karen earn for 8 hours of w
    15·1 answer
  • Two roommates share a dorm in Richards Hall, The probability that Roommate A is doing homework on a Friday night is .3. The prob
    9·1 answer
  • Order from the smallest to the largest: 3/4, 2/3, 5/9, 5/6
    12·1 answer
  • Y = 3x + 10<br> y = -7x - 20
    6·1 answer
  • select all the sets that are the three side lengths of right triangles A.8,7,15 B.4, 10, √84 C. √8, 11, √129 D. √1, 2, √3
    15·1 answer
  • Find the value of cos 10° round your anwser to the nearest ten thousandth
    14·2 answers
  • Can someone please help me out?
    5·1 answer
  • Once a delay or disability is diagnosed, the best thing to do is to continue to be a family’s knowledgeable and reliable partner
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!