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Eduardwww [97]
3 years ago
5

How do i know if a shape is concave or convex

Mathematics
1 answer:
horsena [70]3 years ago
3 0

Answer:

You can use the word cave to help you remember the difference between convex and concave polygons. A convex polygon has all its vertices, or corners, pointing out from the center, but a concave polygon looks like it has been caved in

Step-by-step explanation:

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assume that women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. find the
drek231 [11]

Answer:

65.3658 inches

Step-by-step explanation:

Let X be the height of a woman randomly choosen. We know tha X have a mean of 63.6 inches and a standard deviation of 2.5 inches. For an x value, the related z-score is given by z = (x-63.6)/2.5. We are looking for a value x_{0} such that P(X < x_{0}) = 0.76, but, 0.76 = P(X < x_{0}) = P((X-63.6)/2.5 < (x_{0}-63.6)/2.5) = P(Z < (x_{0}-63.6)/2.5), i.e., (x_{0}-63.6)/2.5 is the 76th percentile of the standard normal distribution. So, (x_{0}-63.6)/2.5 = 0.7063, x_{0} =63.6+(2.5)(0.7063) = 65.3658. Therefore, the height of a woman who is at the 76th percentile is 65.3658 inches.

7 0
3 years ago
A recent survey asked UF students if they had a job or not, and if they were underclassmen (Freshmen and Sophomores) or uppercla
vlada-n [284]
Following the table and knowing that the total number of students interviewed were 158 ( we can see this by looking adding either the total number of upperclassment or adding the total number of people with jobs or no jobs, this value is at the bottom right of the table in the figure attached).
Recall that:
P(A\cup B)=P(A)+P(B)-P(A\cap B)
In the figure provided each of these terms is highlighted in a different color. To convert these values to their matching probabilities we have to divide each by the total number of students, this is due to the fact that the probability is the number of favorable cases (in this case a group matching the qualities we seek) divided by the total amount of cases ( that is the total number of people interviewed). In the figure the answer is provided. For the intersection of the two events we're looking for people that is both an undercalssman and also has a job.

3 0
3 years ago
Karina is designing a logo on a coordinate plane. The logo is a square whose area is 200 square units. She places a circle in th
Katarina [22]

Answer:

D

Step-by-step explanation:

To find the percentage we must first find the area of the circle:

We can find the radius of the circle using the distance formula;

⇒ d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}

⇒ r = \sqrt{(6.3 - 0)^{2} + (1.6 - 0)^{2}}

⇒ r = 6.5

Now we calculate the area;

⇒ A = \pi r^{2}

⇒ A = \pi (6.5)^{2}

⇒ A = \frac{169}{4}\pi

To get the percentage we divide the area of the circle by the square’s are and multiply by 100;

⇒ Percentage = \frac{42.25\pi }{200} * 100

⇒ Percentage = 66 (2sf)

5 0
2 years ago
Suppose your friend's parents invest $15,000 in an account paying 7% compounded annually. What will the balance be after 6 years
kykrilka [37]

Answer:

$22,510.96

Step-by-step explanation:

Final investment value

$22,510.96

Total interest earned

$7,510.96

Initial balance

$15,000.00

Total monthly deposits

$0.00

Effective Annual Rate (APY)

7%  

6 0
3 years ago
My friend sets out walking at a speed of $3$ miles per hour. I set out behind her $5$ minutes later at $4$ miles per hour. When
r-ruslan [8.4K]

Answer:  The answer is 0.25 miles.


Step-by-step explanation:  Given that my friend started walking at a speed of 3 miles per hour and I started 5 minutes after him at a speed of 4 miles per hour. We need to find the number of miles my friend travelled when I started walking.

Since I started 5 minutes after than my friend, so we are to find the distance travelled by my friend in 5 minutes.

In 1 hour, i.e., 60 minutes, distance travelled by my friend = 3 miles.

In 1 minute, distance travelled by my friend is

\dfrac{3}{60}=\dfrac{1}{20}~\textup{miles}.

Therefore, distance travelled by my friend in 5 minutes will be

\dfrac{1}{20}\times 5=\dfrac{1}{4}=0.25~\textup{miles}.

Thus, the answer is 0.25 miles.

3 0
2 years ago
Read 2 more answers
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