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3 years ago

Given a∥b , and c is not parallel to a or b, which statements must be true?

Mathematics

1 answer:

leonid [27]3 years ago

5 0

M∠4=m∠5

m∠1=m∠5

m∠5=m∠12

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74% of freshmen entering public high schools in 2006 graduated with their class in 2010. A random sample of 81 freshmen is selec

Assoli18 [71]

Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755

Step-by-step explanation:

Given that,

Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74

Random sample of freshman, n = 81

Utilizing central limit theorem,

$P(\hat{p}$

So,

$(P(\hat{p}>0.743) = P(Z>0.743 - \frac{0.74}{\sqrt{\frac{0.74(1-0.74)}{81} } } )$

= P( Z > 0.0616)

= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.

7 0

3 years ago

(20 POINTS!!!) Richie and his brother have a paper route. Together they can deliver all of the papers in 40 minutes, and Richie

Ann [662]

Simplify equation: 14 - 7y + 5 = 1 + 3y + 24

simplify again: 19 - 7y = 25 + 3y

add -25 and 7y to both sides: -6 = 10y

y = -6/10 or -0.6

2. After 30 minutes, richie has delivered 1/3 of the papers, so they have to deliver the remaining 2/3. Since they can deliver them all in 40 minutes, would the answer be 2/3 of 40? I'm not sure about this.

7 0

3 years ago

Add together 2h and 36.<br>.<br>Show more

coldgirl [10]

Answer:

2h +36

Step-by-step explanation: Further explanation ;

$2h+36\\\\\mathrm{Rewrite\:}36\mathrm{\:as\:}2\times\:18\\=2h+2\times\:18\\\\\mathrm{Factor\:out\:common\:term\:}2\\=2\left(h+18\right)$

6 0

3 years ago

What decimal is smaller than 0.8

VashaNatasha [74]

Answer:

0.79

Hope this helps :)

6 0

3 years ago

Read 2 more answers

Need help asap please!

Montano1993 [528]

Answer:

determinant: -15
x = 3; y = 4; z = 1

Step-by-step explanation:

The matrix of coefficients has one row corresponding to each equation. The constants in that row are the coefficients of the variables in the equation. Coefficients are listed in the same order on each row. A missing term is represented by a coefficient of 0.

<h3>coefficient matrix, determinant</h3>

The first attachment shows the coefficient matrix and its determinant.

<h3>solution</h3>

The solution to the system of equations can be found by left-multiplying the constant vector by the inverse of the coefficient matrix.

$\textbf{A$\cdot$X}=\textbf{B}\\\\\textbf{X}=\textbf{A}^{-1}\cdot\textbf{B}$

This multiplication is shown in the second attachment. It tells us ...

$\textbf{X}=\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}3\\4\\1\end{array}\right]$

4 0

2 years ago