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krek1111 [17]
3 years ago
11

solve each equation below for the given variable. Please explain how u got ur answer:) a. 4x/5=x-2/7 b. -3(2b-7)= -3b+21-3b c.6-

2(c-3)=12​

Mathematics
1 answer:
nadya68 [22]3 years ago
3 0
This is a answer of question A

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In a yoga class, 75% of the students are women. There are 24 women in the class. How many students are in the class?
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Answer:

32

Step-by-step explanation:

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Which of the following gives a product of x^3 - 3x ?
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Answer:

Option a

Step-by-step explanation:

Lets verify

RHS

\\ \rm\longmapsto x(x^2-3)

  • Use distributive law
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\\ \rm\longmapsto x(x^2)-3x

\\ \rm\longmapsto x^3-3x

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Scott is on his school's academic team. On average, it takes Scott 4 minutes, with a standard deviation of 0.25 minutes, to solv
uysha [10]

Answer:

15.87% is the chance that Scott takes more than 4.25 minutes to solve a problem at an academic bowl.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4 minutes

Standard Deviation, σ = 0.25 minutes

We standardize the given data.

Formula:

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

P(more than 4.25 minutes to solve a problem)

P( x > 4.25) = P( z > \displaystyle\frac{4.25 - 4}{0.25}) = P(z > 1)

= 1 - P(z \leq 1)

Calculation the value from standard normal z table, we have,  

P(x > 4.25) = 1 - 0.8413 = 0.1587 = 15.87\%

Thus,15.87% is the chance that Scott takes more than 4.25 minutes to solve a problem at an academic bowl.

8 0
3 years ago
Suppose the true proportion of voters in the county who support a restaurant tax is 0.54. Consider the sampling distribution for
Eva8 [605]

Answer:

The correct answer is:

(a) 0.54

(b) 0.0385

Step-by-step explanation:

Given:

Restaurant tax,

p = 0.54

Sample size,

n = 168

Now,

(a)

The mean will be:

⇒ μ \hat{p}= p

         =0.54

(b)

The standard error will be:

\sigma \hat{p} = \sqrt{[\frac{p(1-p)}{n} ]}

    = \sqrt{[\frac{(0.54\times 0.46)}{168} ]}

    = \sqrt{[\frac{(0.2484)}{168} ]}

    = 0.0385

6 0
3 years ago
In the rhombus m<1=160. What are m<2 and <3? The diagram is not drawn to scale.
xxMikexx [17]
Since a rhomubs is a 4 sided quadrilateral when parallel lines intersect within we solve for the triangles that are the result of the intersecting lines m<2=10, m<3=10
8 0
3 years ago
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