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taurus [48]
3 years ago
12

What is the common denominator of 2/7 and 1/4​

Mathematics
2 answers:
Anastasy [175]3 years ago
6 0

The common denominator is 28

Serjik [45]3 years ago
3 0

Answer:

28

Explanation :

Mutiply by 4 for 2/7 to get the denominator which is 28

(2)(4)/(7)(4)= 8/28

Mutiply by 7 for 1/4

(1)(7)/(4)(7)= 7/28

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What is the solution to the system of equations below?
Andre45 [30]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equations

y=-6x-10

y=-3x-21

solving the system of the equations

Arrange the equation variables for elimination

\begin{bmatrix}y+6x=-10\\ y+3x=-21\end{bmatrix}

y+3x=-21

-

\underline{y+6x=-10}

-3x=-11

\begin{bmatrix}y+6x=-10\\ -3x=-11\end{bmatrix}

solve

-3x=-11

Divide both sides by -3

\frac{-3x}{-3}=\frac{-11}{-3}

x=\frac{11}{3}

\mathrm{For\:}y+6x=-10\mathrm{\:plug\:in\:}x=\frac{11}{3}

y+6\cdot \frac{11}{3}=-10

y+6\cdot \frac{11}{3}=-10

y=-32

Therefore, the solutions to the system of the equations are:

y=-32,\:x=\frac{11}{3}

But, it seems none of the options is true.

8 0
3 years ago
Read 2 more answers
PLEASE I'm DESPERATE!. Find a, b, c, and d such that the cubic . f(x) = ax3 + bx2 + cx + d. satisfies the given conditions.. Rel
dimulka [17.4K]
We are given with the equation <span>f(x) = ax3 + bx2 + cx + d

Substituting, (3,11) 
</span><span>11= 27a + 9b + 3c + d
</span><span>@(5, 9) 
</span><span>9 = 125 a + 25 b + 5c + d
@</span><span>(4, 10)
</span><span>10 = 64 a + 16 b + 4c + d

@inflection point, second derivative is equal to zero
</span><span>f'(x) = 3ax2 + 2bx + c 
</span>f''(x) = 6ax + 2b = 0

when x is 4, 24 a + 2b = 0 or 12a + b = 0. 

There are 4 equations, 4 unknowns: answer is 
<span>0.5 x^3 - 6x^2 + 22.5 - 24 = 0</span>
4 0
3 years ago
Read 2 more answers
Can someone show me how to do this please​
marta [7]

Answer:

volume = 0.32 m^3

Step-by-step explanation:

The object shown above consists of 5 cubes having side lengths of ⅖m each.

Volume of a cube = a^3

Where, a = side length = ⅖ m

Volume of the object = 5* (\frac{2}{5})^3

volume = 5*\frac{8}{125} = 5*0.064 = 0.32 m^3

6 0
3 years ago
A high school principal wishes to estimate how well his students are doing in math. Using 40 randomly chosen tests, he finds tha
ollegr [7]

Answer:

99% confidence interval for the population proportion of passing test scores is [0.5986 , 0.9414].

Step-by-step explanation:

We are given that a high school principal wishes to estimate how well his students are doing in math.

Using 40 randomly chosen tests, he finds that 77% of them received a passing grade.

Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;

                          P.Q. = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of students received a passing grade = 77%

           n = sample of tests = 40

           p = population proportion

<em>Here for constructing 99% confidence interval we have used One-sample z proportion test statistics.</em>

So, 99% confidence interval for the population proportion, p is ;

P(-2.5758 < N(0,1) < 2.5758) = 0.99  {As the critical value of z at 0.5%

                                           level of significance are -2.5758 & 2.5758}  

P(-2.5758 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 2.5758) = 0.99

P( -2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.99

P( \hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.99

<u>99% confidence interval for p</u> = [\hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } , \hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }]

 = [ 0.77-2.5758 \times {\sqrt{\frac{0.77(1-0.77)}{40} } } , 0.77+2.5758 \times {\sqrt{\frac{0.77(1-0.77)}{40} } } ]

 = [0.5986 , 0.9414]

Therefore, 99% confidence interval for the population proportion of passing test scores is [0.5986 , 0.9414].

Lower bound of interval = 0.5986

Upper bound of interval = 0.9414

6 0
2 years ago
Helppppppp meeeeee plzzzz
bulgar [2K]
Non proportional I think. Wait for someone else to answer
8 0
2 years ago
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