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3 years ago

Solve

Mathematics

1 answer:

NISA [10]3 years ago

6 0

Answer:

$r = 0.01$

Step-by-step explanation:

In order to find r we have to square both sides of the equation

$0.1 = \sqrt{r} \\ {0.1}^{2} = { \sqrt{r} }^{2}$

The *square root* sign cancels out the *squared* sign therefore:

${0.1}^{2} = r \\ 0.01 = r$

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Plz help i dont want to fail

WINSTONCH [101]

Answer:

$p=\$1.50,\\c=\$0.75$

Step-by-step explanation:

We can write the following system of equations:

$\begin{cases}3p+2c=6.00,\\2p+3c=5.25\\\end{cases}$

Multiply the second equation by $-\frac{3}{2}$ to isolate and solve for $c$ :

$\begin{cases}3p+2c=6.00,\\-3p-4.5c=-7.875\\\end{cases},\\-2.5c=-1.875,\\c=\fbox{$\$0.75$}$ ,

Now plug in $c=0.75$ into any equation to solve for $p$ :

$3p+2(0.75)=6.00,\\3p=4.50,\\p=\fbox{$\$1.50$}$ .

6 0

3 years ago

Read 2 more answers

A book contains 400 pages. If their are 80 typing errors randomly distributed throughout the book, use the Poisson distribution

Nikitich [7]

Using the Poisson distribution to determine the probability that a page contains exactly 2 errors is 0.0163

<h3>Solution:</h3>

Given that, a book contains 400 pages.

There are 80 typing errors randomly distributed throughout the book,

We have to use the Poisson distribution to determine the probability that a page contains exactly 2 errors.

The Poisson distribution formula is given as:

$\text { Probability distribution }=e^{-\lambda} \frac{\lambda^{k}}{k !}$

Where, $\lambda$ is event rate of distribution. For observing k events.

$\text { Here rate of distribution } \lambda=\frac{\text { go mistakes }}{400 \text { pages }}=\frac{1}{5}$

And, k = 2 errors.

$\begin{array}{l}{\text { Then, } \mathrm{p}(2)=e^{-\frac{1}{5}} \times \frac{\frac{1}{5}}{2 !}} \\\\ {=2.7^{-\frac{1}{5}} \times \frac{\frac{1}{5^{2}}}{2 \times 1}} \\\\ {=\frac{1}{2.7^{\frac{1}{5}}} \times \frac{\frac{1}{25}}{2}}\end{array}$

$\begin{array}{l}{=\frac{1}{\sqrt[5]{2.7}} \times \frac{1}{25} \times \frac{1}{2}} \\\\ {=\frac{1}{50 \sqrt[5]{2.7}}} \\\\ {=0.0163}\end{array}$

Hence, the probability is 0.0163

5 0

4 years ago

Write the equation of the line with x-intercept 3 and passing through the point (5.4)

kykrilka [37]

Answer: y=(1/5)m+3

Step-by-step explanation:

Start with the standard form of an equation of a straight line: y=mx+b, whre m is the slope and b the y-intercept (the value of y when x=0).

y=mx+b

We know b (3), so:

y=mx + 3

To find the slope, m, we can use the one given point, (5,4):

y=mx + 3 for (5,4) would be:

4 = m*5+3

1 = 5m

m = (1/5)

y=(1/5)m+3

8 0

3 years ago

A ski patrol unit has seven members available for duty, and two of them are to be sent to rescue an injured skier. In how many w

ikadub [295]

Answer:

Step-by-step explanation:

7C2 = 21

6 0

3 years ago

What is M angle FAD?

Kipish [7]

Answer:

m∠FAD=48°

Step-by-step explanation:

we know that

The Perpendicular Bisector Theorem states that: A radius that bisect a chord is perpendicular to the chord

we have

FD=DE

The radius AC bisect the chord FE

AC is perpendicular to FE

The triangle FAD is a right triangle

m∠FAD+m∠AFD=90° ---> by complementary angles in a right triangle

we have

m∠AFD=42°

substitute

m∠FAD+42°=90°

m∠FAD=90°-42°

m∠FAD=48°

6 0

3 years ago