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3 years ago

A square pyramid is shown below: What is the surface area of the pyramid?

Mathematics

1 answer:

Reptile [31]3 years ago

8 0

Well first you would find the area of the square on the bottom
Which would be:
0.7*0.7= .49
Then we would find the area of one of the triangles on the side:
8*0.7= 5.6* 1/2= 2.8
Next, you will multiply the 2.8 by 4, because there are 4 triangles:
2.8*4=11.2
Finally add the 11.2 to the area of the square, and you'll have your answer.
.49+11.2= 11.69
So, B is your answer

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A hardware store receives a shipment of bolts that are supposed to be 12 cm long. The mean is indeed 12 cm, and the standard dev

Yuliya22 [10]

Answer: 0.9104

Step-by-step explanation:

Given : A hardware store receives a shipment of bolts that are supposed to be 12 cm long.

Mean : $\mu=12\text { cm}$

Standard deviation : $\sigma= 0.2\text{ cm}$

Sample size : n=10

Since, they will declare the shipment defective and return it to the manufacturer if the average length of the 100 bolts is less than 11.97 cm or greater than 12.04 cm.

So for the shipment to be satisfactory, the length of the bolts must be between 11.97 cm and 12.04 cm.

We assume that the length of the bolts are normally distributed.

Let X be the random variable that represents the length of randomly picked bolt .

For Z score : $z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For x = 11.97

$z=\dfrac{11.97-12}{\dfrac{0.2}{\sqrt{100}}}=-1.5$

For x = 12.04

$z=\dfrac{12.04-12}{\dfrac{0.2}{\sqrt{100}}}=2$

By using the standard normal distribution table , the probability that the shipment is found satisfactory will be :-

$P(511.97$

Hence, the probability that the shipment is found satisfactory=0.9104

3 0

3 years ago

A box has 1 red marble, 3 blue marbles, and 4 green marbles. Maya draws a blue marble randomly from the box, replaces it, and th

allochka39001 [22]

Answer:

$\dfrac{9}{64}$

Step-by-step explanation:

Sampling with replacement means that we choose a marble, note its colour, put it back and shake the box, then choose a marble again.

There are $1+3+4=8$ marbles in total. The probability that the first chosen marble is blue is $\dfrac{3}{8}.$ then Maya replaces this marble and the probability of choosing the second blue marble is the same. Using the product rule, the probability of drawing 2 blue marbles in a row is

$\dfrac{3}{8}\cdot \dfrac{3}{8}=\dfrac{9}{64}.$

6 0

3 years ago

Is this a function?<br><br> A) Yes<br> B) No

Vinil7 [7]

Answer:

no, this is not a function

Step-by-step explanation:

i hope this helps :)

6 0

3 years ago

Read 2 more answers

I really need help please help fast

kogti [31]

Well, as far as I can tell, the mean (average) is the best representation of the data because there is no outlier (a number a lot higher or lower than the rest of the numbers that throws the data off).

4 0

3 years ago

Número racional no entero

Varvara68 [4.7K]

An estar escrito en la forma n / 1. Por ejemplo, 5 = 5/1 y, por tanto, 5 es un número racional. Sin embargo, números como 1/2, 45454737/2424242 y -3/7 también son racionales, ya que son fracciones cuyo numerador y denominador son números enteros.

Espero que esto te ayude

6 0

3 years ago