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3 years ago

Monica reads a 7 1/2 pages of a mystery book in 9 minutes. What is her average reading rate in pages per minute?

Mathematics

2 answers:

zaharov [31]3 years ago

7 0

Answer: 5/6 pages per minute

Explanation:

1.) set up problem

7 1/2 ÷ 9

2.) make 7 1/2 an improper fraction by multiplying 7 by the denominator of 1/2 and adding it to the numerator

15/2 ÷ 9

3.) flip the division sign to a multiplication sign and set a 1 over 9

15/2 • 1/9

4.) multiply

15/28

5.) simplify

5/6

mrs_skeptik [129]3 years ago

6 0

Answer:

7.5 pages/9 mins

=(5/6) pages/minute

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8. Jasmine is playing a game where she moves a piece on a coordinate grid. Over three turns, she moves her

olga2289 [7]

Answer:

28 units.

Step-by-step explanation:

The distance between two given points ( $x_{1},y_{1}$ ) and ( $x_{2},y_{2}$ ) is given by the formula

$\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}$

So, the distance between points (-2,-4) and (-1,6) is

$\sqrt{(-2 - (- 1))^{2} + (-4 - 6)^{2}} = \sqrt{101} = 10.05$ units.

Now, the distance between points (-1,6) and (3,8) is

$\sqrt{(-1 - 3)^{2} + (6 - 8)^{2}} = \sqrt{20} = 4.47$ units

Again, the distance between the points (-2,-4) and (3,8) is

$\sqrt{(- 2 - 3)^{2} + (-4 - 8)^{2}} = 13$ units.

Therefore,the perimeter of the triangle is (10.05 + 4.47 + 13) = 27.52 ≈ 28 units. (Approximate)

7 0

4 years ago

An equation that is true when y=-0.5

ASHA 777 [7]

I think yes maybe.....................
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8 0

4 years ago

A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the

LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

$P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432$

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

$P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1$

The probability that at most 12 ties are too tight is P=1.

5 0

3 years ago

Find an equation of the tangent line to the graph of

Allisa [31]

Answer:

$y- y_o = m(x-x_o)$

For this case m represent the slope and is given by $m= g'(4) = 2$ and from the other condition given we know that $x_o = 4, y_o =-3$ . And replacing we got:

$y -(-3) = 2 (x-4)$

And if we reorganize the terms we have:

$y+3 = 2x -8$

And subtracting 3 in both sides we got:

$y = 2x -11$

Step-by-step explanation:

For this case we have the following function y=g(x) and we want to find the tangent line to this function using the conditions: $g(4) =-3, g'(4)=2$

So we need a function like this one:

$y- y_o = m(x-x_o)$

For this case m represent the slope and is given by $m= g'(4) = 2$ and from the other condition given we know that $x_o = 4, y_o =-3$ . And replacing we got:

$y -(-3)=2(x-4)$

And if we reorganize the terms we have:

$y+3 = 2x -8$

And subtracting 3 in both sides we got:

$y = 2x -11$

4 0

3 years ago

John opens a savings account with $1,000 that compounds interest daily. The APR at the time John deposits the account is 3.5%. H

3241004551 [841]

$\bf \qquad \qquad \textit{Annual Yield Formula}
\\\\
\qquad \qquad \left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 3.5\%\to \frac{3.5}{100}\to &0.035\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{daily, so in a year is 365}
\end{array}\to &365
\end{cases}
\\\\\\
\left(1+\frac{0.035}{365}\right)^{365}-1$

you'll get a decimal format, just multiply it times 100, to get the % format

6 0

3 years ago

Read 2 more answers