MATHEMATICS COLLEGE

Write the number 0.0049 in scientific notation.

Answers

Answer 1

Answer:

Answer:

= 4.9*10^-3

Step-by-step explanation:

Hope it helpzzz

Related Questions

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How much kinetic energy does a 4 kg cats have while at 9 m/s
A small company that manufactures snowboards uses the relation below to model its profit. In the model,represents the number of snowboards in thousands, and P represents the profit in ten thousands of dollars.What is the maximum profit the company can earn? How many snowboards must it produce to earn thismaximum profit?a. Factor P =4x2 + 32x + 336 to find the roots.b. Find the axis of symmetry then use it to find the vertex.c. Therefore, we need to see snowboards to make a maximum profit of
Nathanial is using the quadratic formula to solve 0=x^2+5x-6. His steps are shown below. What are the solutions to the equation?
Find the slope of the line y=1

2(3x + 1) + 4
Please simplify the statement

Answers

Answer:

6x+6

Step-by-step explanation:

2(3x+1)+4

6x+2+4

6x+6

14 over 15 rounded to the nearest tenth

Answers

Answer:

0.9

Step-by-step explanation:

14/15 = 0.933333333 IF:

1. You first change it into a decimal by dividing the numerator by the denominator.

14 ÷ 15

2.You will get a recurring decimal.

0.933333333

3. The first digit after the decimal is in the position of the 'tenths'

0.9

4. You should use only two digits after the decimal to calculate

0.93

5. Since the number 3 is less than five, it will change into a zero and get eliminated.

∴ The answer will be = 0.9

If Point M has a coordinate of -1 and MN = 7, what are the possible coordinates of point N?

Answers

Answer:

-8 and 6

Step-by-step explanation:

Coordinate of point M = -1

Distance between M and a point N = MN = 7

Therefore, the possible coordinates of N can either be:

To the left => -1 - 7 = -8

To the right => -1 + 7 = 6

Check:

If M = -1, and N = -8, MN = |-1 -(-8)| = |-1 + 8| = 7

If M = -1, and N = 6, MN = |-1 - 6| = |-7| = 7

So, our answer is right.

Possible coordinates of point N are -8 and 6

Let X be a binomially distributed random variable with parameters n=500 and p=0.3. The probability that X is no larger than one standard deviation above its mean is closest to which of the following? a. 0.579
b. 0.869
c. 0.847
d. 0.680

Answers

Answer:

c. 0.847

Step-by-step explanation:

From the given information;

$X \sim Binomial (500,0.3)$

Given that n = 500 which is too large, binomial distribution can now be approximated to

$N ( \mu , \sigma^2)$

where;

$\mu = np$

$\mu =500 * 0.3$

$\mu =150$

$\sigma^2= np(1-p)$

$\sigma^2= 500 * 0.3(1-0.3)$

$\sigma^2= 150(0.7)$

$\sigma^2= 105\n$

∴

$P(X \leq \mu + \sigma ) = ( (X-\mu)/(\sigma) \leq 1)$

$P(X \leq \mu + \sigma ) = ( Z \leq 1)$

$P(X \leq \mu + \sigma ) =\Phi (1)$

From the z table

$P(X \leq \mu + \sigma ) =0.841$

Thus, our value is closest to the option c which 0.847

Lydia and Adam are buildng a display of soup cans at the market where they work. the display is in the form of a square pyramid, with a base of 81 cans. They will continue making smaller layers until there is one can at the top. Adam is going to the stockroom to get the can they will need. a. How many layers will be in the display?

b. How many canse will Lydia and Adam use total?

Answers

Answer:

(a). 9 layers

(b). 285

Step-by-step explanation:

In the question,

The Square Pyramid is needed to be made from the cans.

The base of the pyramid has = 81 cans

So,

Side of the Square = s

So,

$s^(2)=81\ns = 9$

Therefore, the number of cans on one side of the square base = 9 cans

So,

The number of cans will be reducing by 1 in each layer upto the point we are left with only 1 can in the top.

So,

1st layer = 9 cans

2nd layer = 8 cans

3rd layer = 7 cans

4th layer = 6 cans

5th layer = 5 cans

6th layer = 4 cans

7th layer = 3 cans

8th layer = 2 cans

9th layer = 1 can

Number of layers are = 9

(b).

Total number of cans used by Lydia and Adam will be,

Sum of number of cans in all the layers.

$Number\,of\,cans=9^(2)+8^(2)+7^(2)+6^(2)+5^(2)+4^(2)+3^(2)+2^(2)+1^(2)\nNumber\,of\,cans=81+64+49+36+25+16+9+4+1\nNumber\,of\,cans=285$

Therefore, the number of cans = 285

Find m/ GJI
a. 15
b. 75
c.100
d. 105

Answers

m<GJI=(x+60)°=?

We need to find x. The angle GJI and FJH are opposite by the the vertex, then they must be congruents:
(x+60)°=(5x)°
x+60=5x
Solving for x
x+60-x=5x-x
60=4x
60/4=4x/4
15=x
x=15

Replacing x by 15 in m<GJI:
m<GJI=(x+60)°=(15+60)°→m<GJI=75°

Answer: Option b. 75

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