A student wrote and simplified an expression for the perimeter of the rectangle. (Using the picture provided.)

The picture below illustrates a special type of conic section called

Rufina [12.5K]

Answer:

A

Step-by-step explanation:

The picture below illustrates a hyperbola.

The intersecting plane does not pass through the vertex of a right circular cone (the vertex of the cone is the point where two nappes meet).

As you can see from the diagram, the plane intersects both nappes of a right circular cone.

Hence, correct option is option A: The plane does not pass through the vertex and intersects both nappes of a right circular cone.

8 0

3 years ago

It is said that sufferers of a cold virus experience symptoms for 7 days. However, the amount of time is actually a normally dis

AlexFokin [52]

Answer:

a) 0.18% of cold sufferers experience fewer than 4 days of symptoms

b) 64.40% of cold sufferers experience symptoms for between 7 and 10 days.

Step-by-step explanation:

Problems of normally distributed samples are 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:

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

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 7.5, \sigma = 1.2$

a. What proportion of cold sufferers experience fewer than 4 days of symptoms?

This is the pvalue of Z when X = 4. So

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

$Z = \frac{4 - 7.5}{1.2}$

$Z = -2.92$

$Z = -2.92$ has a pvalue of 0.0018.

So 0.18% of cold sufferers experience fewer than 4 days of symptoms.

b. What proportion of cold sufferers experience symptoms for between 7 and 10 days?

This is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 7. So

X = 10

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

$Z = \frac{10 - 7.5}{1.2}$

$Z = 2.08$

$Z = 2.08$ has a pvalue of 0.9812.

X = 7

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

$Z = \frac{7 - 7.5}{1.2}$

$Z = -0.42$

$Z = -0.42$ has a pvalue of 0.3372.

So 0.9812 - 0.3372 = 0.644 = 64.40% of cold sufferers experience symptoms for between 7 and 10 days.

8 0

3 years ago

A right cylinder ice cream cone has 600 cubic centimeters of ice cream, what is the radius of the cone of the height is 15 centi

choli [55]

The formula for volume is V=Bh where B is the area of the base.
plug in what they have given you:
600=B(15) you can divide both sides by 15

40=B We know that a cylinder's base is a circle so we can use the area f formula for a circle to solve for the radius.
40 = pi(r)^2 divide both sides by pi to get the r^2 alone
40/pi=r^2 square root both sides to get rid of the square
you should get
r=3.5 approximately

7 0

3 years ago

Danae is shopping for grass seed. The prices of bags from four brands are shown in the table.

zaharov [31]

Answer:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

PLEASE HELP. zoom in to remove blur

AleksAgata [21]

Answer:

It's A

Step-by-step explanation:

It's just moving the equation to the right 4 units. There's no stretch, compression, or reflection.

5 0

2 years ago