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makvit [3.9K]
3 years ago
5

Consider a bell-shaped symmetric distribution with mean of 16 and standard deviation of 1.5. Approximately what percentage of da

ta lie between 13 and 19?
Mathematics
1 answer:
fredd [130]3 years ago
6 0

Answer: 95.45 %

Step-by-step explanation:

Given : The distribution is bell shaped , then the distribution must be normal distribution.

Mean : \mu=\ 16

Standard deviation :\sigma= 1.5

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x = 13

z=\dfrac{13-16}{1.5}=-2

For x = 19

z=\dfrac{19-16}{1.5}=2

The p-value = P(-2

0.9772498-0.0227501=0.9544997\approx0.9545

In percent, 0.9545\times100=95.45\%

Hence, the percentage of data lie between 13 and 19 = 95.45 %

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What is the surface area of the composite figure
leva [86]

Answer:

The answer is 672.

Step-by-step explanation:

To solve this problem, first let's find the surface area of the rectangular prism. To do that, multiply each dimension with each (times 2 | just in case you don't understand [what I'm talking about is down below]).

8 x 8 x 2 = 128

8 x 11 x 2 = 176

8 x 11 x 2 = 176

Then, add of the products together to find the surface area of the rectangular prism.

176 + 176 + 128 = 480

Now, let's find the surface area of the square pyramid. Now, for this particular pyramid, let's deal with the triangles first, then the square. Like we did with the rectangular prism above, multiply each dimension with each other (but dividing the product by 2 | in case you don't understand [what i'm talking about is down below]).

8 x 8 = 64.

64 ÷ 2 = 32.

SInce there are 4 triangles, multiply the quotient by 4 to find the surface area of the total number of triangles (what i'm talking about is down below).

32 x 4 = 128.

Now, let's tackle the square. All you have to do is find the area of the square.

8 x 8 = 64.

To find the surface area of the total square pyramid, add both surface areas.

128 + 64 = 192.

Finally, add both surface areas of the two 3-D shapes to find the surface area of the composite figure.

192 + 480 = 672.

Therefore, 672 is the answer.

6 0
3 years ago
How much is 1.4 kg minus 650 grams
faltersainse [42]
First of all you have to convert kg to grams

so there is 1 kg in 1000g
.4 kg is 400g
1000+400= 1400g

1400-650 = 750 kg

that's your final answer
8 0
3 years ago
Find the measure of each minor arc formed by a regular octagon inscribed in a circle. A. 15° B. 30° C.45° D. 60°
marin [14]
Your octagon has a central angle of 360 deg.  Since you're speaking of an octagon, which implies that the octagon is made up of eight triangles, divide 360 deg by 8 to obtain the measure of each minor arc formed.
6 0
3 years ago
What is the value of the expression 22 + 42 ÷ 22?<br><br> 3<br> 6<br> 8<br> 16
insens350 [35]

Answer:

Step-by-step explanation:

22 + 42 divided by 22

we always to division and multiplication before adding or subtracting, so

(42/22) + 22 = a very lonnggg number = 23.9090909091?????

are you sure the equation is correct?

i can help you

thank you

4 0
3 years ago
Read 2 more answers
In 2007, the population of Tallahassee, Florida was 168,979. Some researchers believe that the population of Tallahassee will in
tresset_1 [31]

Answer:

Number of year in which population will be 180,000 = 6 year (Approx.)

Step-by-step explanation:

Given:

Population in 2007 = 168,979

Rate of increase in population = 1% = 0.01

Future population = 180,000

Find:

Number of year in which population will be 180,000

Computation:

A = P[1+r]ⁿ

Future population = Population in 2007[1+Rate of increase in population]ⁿ

180,000 = 168,979[1+0.01]ⁿ

180,000 = 168,979[1.01]ⁿ

1.06522 = [1.01]ⁿ

n = 6 (Approx.)

Number of year in which population will be 180,000 = 6 year (Approx.)

4 0
3 years ago
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