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Savatey [412]
3 years ago
6

If Ru-Ping earns an A in science, an A in math, and a C in English, what is her GPA?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
4 0
The answer should be letter A
3.33
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You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to
Zielflug [23.3K]

Let x represent the speed of of boat.

We have been given that the river current is 3 miles per hour.  

The speed of boat upstream will be x-3.

The speed of boat downstream would be x+3.

\text{Time}=\frac{\text{Distance}}{\text{Speed}}

We have been given that you travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock.

We can represent this information in an equation as:

\text{Time}=\frac{2}{x+3}+\frac{3}{x-3}

Since the speed of the boat is 18 miles per hour, so we will substitute x=18 in above equation and solve for time.

\text{Time}=\frac{2}{18+3}+\frac{3}{18-3}

\text{Time}=\frac{2}{21}+\frac{3}{15}

\text{Time}=\frac{2}{21}+\frac{1}{5}

\text{Time}=\frac{2\cdot 5}{21\cdot 5}+\frac{1\cdot 21}{5\cdot 21}

\text{Time}=\frac{10}{105}+\frac{21}{105}

\text{Time}=\frac{31}{105}

\text{Time}=0.295238095

Since time is in hours, so let us convert our given time in minutes.

1 hour = 60 minutes.

\text{Time}=0.295238095\times 60\text{ minutes}

\text{Time}=17.7142857\text{ minutes}

Rounding to nearest tenth of minute.

\text{Time}\approx 17.7\text{ minutes}

Therefore, it will take approximately 17.7 minutes for the boat to take the trip.

3 0
3 years ago
( 3 1 ​ ) 2 +3 2 =left parenthesis, start fraction, 1, divided by, 3, end fraction, right parenthesis, squared, plus, 3, squared
Fynjy0 [20]

Answer:

I guess that we have the equation:

(1/3)^2 + 3^2 =

And we want to solve it.

Here just remember that:

3^2 = 3*3 = 9

then:

(1/3)^2 = (1/3)*(1/3) = 1/9

replacing these in the expression, we get:

(1/3)^2 + 3^2 = 1/9 + 9

If we want to write this as a single fraction, we can rewrite:

1/9 + 9 = 1/9 + (9/9)*9

           = 1/9 + 81/9 = (1 + 81)/9 = 82/9

4 0
3 years ago
The clearance between a pin and the collar around it is important for the proper performance of a disc drive for small computers
hichkok12 [17]

Answer:

(a) The distribution of (Y - X) is <em>N</em> (0.001, 0.0005).

(b) The probability that the pin will not fit inside the collar is 0.023.

Step-by-step explanation:

The random variable <em>X</em> is defined as the diameter of the pin and the random variable <em>Y</em> is defined as the diameter of the collar.

The distribution of <em>X</em> and <em>Y</em> is:

X\sim N(0.525, 0.0003)\\Y\sim N(0.526, 0.0004)

The random variables <em>X</em> and <em>Y</em> are independent of each other.

(a)

Compute the expected value of (Y - X) as follows:

E(Y-X)=E(Y)-E(X)=0.526-0.525=0.001

The mean of (Y - X) is 0.001.

Compute the variance of (Y - X) as follows:

V(Y-X)=V(Y)+V(X)-2Cov(X,Y)\\=V(Y)+V(X);\ X\ and\ Y\ are\ independent\\=0.0003^{2}+0.0004^{2}\\=0.00000025

SD(Y-X)=\sqrt{0.00000025}=0.0005

The standard deviation of (Y - X) is 0.0005.

Thus, the distribution of (Y - X) is <em>N</em> (0.001, 0.0005).

(b)

Compute the probability of [(Y - X) ≤ 0] as follows:

P(Y-X\leq 0)=P(\frac{(Y-X)-\mu_{Y-X}}{\sigma_{Y-X}}\leq \frac{0-0.001}{0.0005})=P(Z

*Use a <em>z</em>-table for the probability value.

Thus, the probability that the pin will not fit inside the collar is 0.023.

8 0
3 years ago
Please help I will mark as brainliest!!
scZoUnD [109]

Answer:

117°

Step-by-step explanation:

x= 180-101+38= 117°

5 0
2 years ago
Use the figure to find the measures of the numbered angles.
Elena L [17]

Step-by-step explanation:

∠5 = 49⁰

∠6 = 131⁰

Mark it brainliest if it helps you ❤️

5 0
3 years ago
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