How do you solve this

Mathematics

1 answer:

olchik [2.2K]3 years ago

4 0

The answer would have to be 4x^2y

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Two fields at a state park are 1,000 maters from each other. On a map, the two fields are 8 centimeters apart. what scale is the

marshall27 [118]

Answer:

$\frac{1cm}{125 meters}$

Step-by-step explanation:

To find the scale, we write a ratio of $\frac{map}{real world}$ and simplify.

We know $\frac{map}{real world}=\frac{8cm}{1000 meters}$ .

We simplify to $\frac{1cm}{125 meters}$

8 0

3 years ago

The distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26

hjlf

Answer:

Probability that next week's show will have between 30 and 37 million viewers is 0.2248.

Step-by-step explanation:

We are given that the distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26 million with a standard deviation of 8 million.

Let X = number of viewers for the American Idol television show

So, X ~ N( $\mu=26,\sigma^{2}=8^{2}$ )

Now, the z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 26 million

$\sigma$ = standard deviation = 8 million

So, probability that next week's show will have between 30 and 37 million viewers is given by = P(30 < X < 37) = P(X < 37) - P(X $\leq$ 30)

P(X < 37) = P( $\frac{X-\mu}{\sigma}$ < $\frac{37-26}{8}$ ) = P(Z < 1.38) = 0.91621

P(X $\leq$ 30) = P( $\frac{X-\mu}{\sigma}$ $\leq$ $\frac{30-26}{8}$ ) = P(Z $\leq$ 0.50) = 0.69146

Therefore, P(30 < X < 37) = 0.91621 - 0.69146 = 0.2248

Hence, probability that next week's show will have between 30 and 37 million viewers is 0.2248.

4 0

3 years ago

I need help Evaluate functions from their graph

andreev551 [17]

Answer:

$g(7)=4$

Step-by-step explanation:

We look for where $x=7$ . The way you find the answer is first, find the point $(0, 7)$ . Draw a line straight up and down, and see where that line intersects the function. Those intersection points are your answer(there will always be only 1 for a function, but if a graph isn't a function, there might be more than 1).