A scale model of an object of 1 cm : 2 ft. The actual object is 11 feet tall. How tall is the model

Can anyone help with this question?

Nostrana [21]

If you alter the "c" value, then you are moving the graph up (or down if c is negative).

Since you are shifting the graph up, the y-intercept ("h" in your graph) will move up.

Since you are shifting the graph up, then the maximum will shift up.

Since you are shifting the graph up, then the x-intercept ("t" in your graph) will increase (move to the right).

Answer: K

4 0

3 years ago

Sally took $13 to the movies. She paid $5 for a movie ticket and popcorn. Which number sentence below will tell how much money s

Alla [95]

Answer:

n = 13 - 5

Step-by-step explanation:

Given,

Amount of money Sally had at first = $13

Amount of money Sally Spent = $5

amount of money left over, n

= Amount of money Sally had at first - Amount of money she spent

= 13 - 5

hence

n = 13 - 5

6 0

3 years ago

A museum is open for 8 hours each day. The manager schedules 12 tours on Tuesday. How long does each tour last

a_sh-v [17]

Answer:

1 hour and 5 minutes

Step-by-step explanation:

12/8= 1.5 so thats 1 hour and 5 minutes hope this helps

8 0

3 years ago

A sample of size 45 will be drawn from a population with mean 53 and standard deviation 11. Use the TI-84 Plus calculator. (a) I

sukhopar [10]

Answer:

a) We have the standard deviation and the mean, so it is appropriate to use the normal distribution to find probabilities for x.

b) There is a 15.97% probability that x will be between 54 and 55.

c) The 47th percentile of x is $X = 52.877$ .

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

A sample of size 45 will be drawn from a population with mean 53 and standard deviation 11.

This means that $\mu = 53$ .

We have to find the standard deviation of the sample, that is:

$\sigma = \frac{11}{\sqrt{45}} = 1.64$

(a) Is it appropriate to use the normal distribution to find probabilities for x?

We have the standard deviation and the mean, so it is appropriate to use the normal distribution to find probabilities for x.

(b) Find the probability that x will be between 54 and 55.

This is the pvalue of the Z score when X = 55 subtracted by the pvalue of the Z score when X = 54.

X = 55

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{55 - 53}{1.64}$

$Z = 1.22$

$Z = 1.22$ has a pvalue of 0.88877.

X = 54

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{54 - 53}{1.64}$

$Z = 0.61$

$Z = 0.61$ has a pvalue of 0.72907.

So, there is a 0.88877 - 0.72907 = 0.1597 = 15.97% probability that x will be between 54 and 55.

(c) Find the 47th percentile of x. Round the answer to at least two decimal places.

This is the value of X when Z has a pvalue of 0.47;

This is between $Z = -0.07$ and $Z = -0.08$ . So we use $Z = -0.075$ .

$Z = \frac{X - \mu}{\sigma}$

$-0.075 = \frac{X - 53}{1.64}$

$X = 52.877$

The 47th percentile of x is $X = 52.877$ .

8 0

3 years ago

The length of rectangle is represented by x and the width by y. The square of the diagonal of the rectangle is equal to the sum

maksim [4K]

To solve this problem you must apply the proccedure shown below:

1- You have the following information given in the problem above:

- The square of the diagonal of the rectangle is equal to the sum of the squares of the length and the width.
- The length is 25 meters and the diagonal is 45 meters.

2- Therefore, you have:

x: diagonal of the rectangle.

x^2=l^2+w^2

3- You have:

w^2+l^2-x^2=0
w^2+(25)^2-(45)^2=0
w^2-1400=0
w=37.41

The answer is: w^2-1400=0

8 0

3 years ago

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