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IRINA_888 [86]
3 years ago
6

Convert 13 over 100 to a decimal

Mathematics
2 answers:
harina [27]3 years ago
8 0
Solve:-

13 over 100 = 13/100

To turn a fraction to a decimal, divide numerator by denominator:- 

13 ÷ 100 = 0.13

13/100 as a decimal is 0.13.
astraxan [27]3 years ago
8 0
This is your fraction; \frac{13}{100}
To convert it to a decimal just divide the numerator by the denominator;
13 ÷ 100 = 0.13
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The diameter of a volleyball is 8.15 inches. What is the volume of the ball, rounded to the nearest hundredth?
Nana76 [90]
<span>So we want to know the volume V of the volleyball if we know the diameter d=8.15 inches and we need to round it to the nearest hundreth. The volume of a volleyball is V=(4/3)r^3*pi, and since 2 radius are equal to the diameter we need to get the radius, so 2r=D and r=D/2 or r=4.075 inches. Now we get the volume after inputting the numbers: V=283.303032 inches^3. Rounded to the nearest hundreth: V=283.30</span>
7 0
3 years ago
Read 2 more answers
Factor 21x^3 y^2 – 3x^2y + 75x^4
malfutka [58]
The greatest common factor is 3x². The rest doesn't factor.
  21x³y² -3x²y +75x⁴ = 3x²(7xy² -y +25x²)
6 0
3 years ago
Passes through (1,12) and has a vertex (10,-4)
agasfer [191]

Answer: 16/81 (x-10)^2 -4

Step-by-step explanation:

To write a vertex equation with just a point and the vertex, you have to figure out the variables.

In vertex form, the equation is y = a (x-h)^2 + k

Your y is 12, x = 1, h = 10, and k = -4

Plug everything into equation

12 = a (1 - 10)^2 -4

12 = a (-9)^2 - 4

12 = 81a - 4

16 = 81a

16/81 = a

Now you know what the 'a' value is.

If you graph 16/81 (x-10)^2 -4 , you will get a point at (1,12) and a vertex of (10,-4)!

I hope this helps!

3 0
3 years ago
Suppose it is known that 60% of radio listeners at a particular college are smokers. A sample of 500 students from the college i
vladimir1956 [14]

Answer:

The probability that at least 280 of these students are smokers is 0.9664.

Step-by-step explanation:

Let the random variable <em>X</em> be defined as the number of students at a particular college who are smokers

The random variable <em>X</em> follows a Binomial distribution with parameters n = 500 and p = 0.60.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 10

2. n(1 - p) ≥ 10

Check the conditions as follows:

 np=500\times 0.60=300>10\\n(1-p)=500\times(1-0.60)=200>10

Thus, a Normal approximation to binomial can be applied.

So,  

X\sim N(\mu=600, \sigma=\sqrt{120})

Compute the probability that at least 280 of these students are smokers as follows:

Apply continuity correction:

P (X ≥ 280) = P (X > 280 + 0.50)

                   = P (X > 280.50)

                   =P(\frac{X-\mu}{\sigma}>\frac{280-300}{\sqrt{120}}\\=P(Z>-1.83)\\=P(Z

*Use a <em>z</em>-table for the probability.

Thus, the probability that at least 280 of these students are smokers is 0.9664.

8 0
2 years ago
Which point on the graph below is included in the solution to the following system of equations?
monitta

Answer:

D(-7,-2)

Step-by-step explanation:

A(-4,3)  B(5,-1)  C(-2,-6)    D(-7,-2)

A: 5×(-4) + 6×3 = -2 ≥ -30 ..... No

B: 2/3×5 + 1 =4.33 ≥ -1 ....No

C:  -6 ≤ 2/3×-2 +1 ....No

D: 2/3×(-7)+1 = 2.333 ≤ -2

    5×(-7) + 6×(-2) = -47 ≤ -30 ......Yes

5 0
2 years ago
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