All categories

2 years ago

Simplify: -7/9-(-5/12)+1/3.

Mathematics

2 answers:

alexandr1967 [171]2 years ago

7 0

Step-by-step explanation:

please mark me as brainlest

DENIUS [597]2 years ago

5 0

Answer:

$\sf -\dfrac{1}{36}$

Explanation:

$\rightarrow \sf -\dfrac{7}{9} -(-\dfrac{5}{12} )+\dfrac{1}{3}$

remove parenthesis

$\rightarrow \sf -\dfrac{7}{9} +\dfrac{5}{12} +\dfrac{1}{3}$

all the denominators has a common multiple of 108

$\rightarrow \sf -\dfrac{7(12)}{108} +\dfrac{5(9)}{108} +\dfrac{1(36)}{108}$

simplify

$\rightarrow \sf \dfrac{-84}{108} +\dfrac{45}{108} +\dfrac{36}{108}$

join the fractions

$\rightarrow \sf \dfrac{-84+45+36}{108}$

simplify

$\rightarrow \sf \dfrac{-3}{108}$

simplify

$\rightarrow \sf -\dfrac{1}{108}$

You might be interested in

For women aged 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of

NNADVOKAT [17]

Answer:

0.0579 is the probability that mean systolic blood pressure is between 119 and 122 mm Hg for the sample.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 114.8 mm Hg

Standard Deviation, σ = 13.1 mm Hg

Sample size = 23

We are given that the distribution of systolic blood pressures is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling:

$\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{13.1}{\sqrt{23}} = 2.731$

P(blood pressure is between 119 and 122 mm Hg)

$P(119 \leq x \leq 122) = P(\displaystyle\frac{119 - 114.8}{2.731} \leq z \leq \displaystyle\frac{122-114.8}{2.731}) = P(1.537 \leq z \leq 2.636)\\\\= P(z \leq 2.636) - P(z < 1.537)\\= 0.9958 - 0.9379 = 0.0579= 5.79\%$

$P(119 \leq x \leq 122) = 5.79\%$

0.0579 is the probability that mean systolic blood pressure is between 119 and 122 mm Hg for the sample.

8 0

3 years ago

What is the correct answer?

Nutka1998 [239]

Answer:

D) 8

Step-by-step explanation:

You multiply 10 by 12 to get 120 so you multiply x by 12 to get 96.

96 = 12x

/12 /12

8 = x

5 0

3 years ago

James is 60 years old. His age is 8 years more than twice Maggie's age. How old is Maggie?

kow [346]

Answer:26

Step-by-step explanation:

60-8=52

52•2=26

4 0

3 years ago

Read 2 more answers

Three hundred people were surveyed about their favorite ride at an amusement park. The results of the survey are shown in the gr

faltersainse [42]

Hello, since 18% of the people surveyed chose Ferris Wheel as their favorite ride at an amusement park, we simply need to get 18% of 300.

$300*0.18=54$

ANSWER: A. 54 people chose Ferris Wheel as their favorite ride.

5 0

3 years ago

What is the quotient in simplest form? 8 Over 3 divided by two-thirds

Darina [25.2K]

Answer:

Step-by-step explanation:

8/3 ÷ 2/3

8/3 * 3/2

7 0

3 years ago

Simplify: -7/9-(-5/12)+1/3. ​

Simplify: -7/9-(-5/12)+1/3.