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yKpoI14uk [10]
3 years ago
7

George spins a spinner 108 times. The spinner lands on a green section 9 times. What is the best estimate of the probability tha

t a spin will land on green? Explain pargraph please
Mathematics
1 answer:
irina [24]3 years ago
4 0

Answer:

1/12

Step-by-step explanation:

Probability is chance of occurrence.

It is observed that out of 108 trials, there were 9 successes i.e 9 times landing on the green section.

P(green) = 9/108

= 1/12

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In the year 2000 the population of Mexico was about 100 million, and it was growing by 1.53% per year. At this growth rate, the
andre [41]

Answer:

11 years

Step-by-step explanation:

Set the function f(x) = 100(1.0153)^x = to 118 and solve for x:

100(1.0153)^x = 118

Taking the natural logarithm of both sides, we get:

ln 100 + x ln 1.0153 = ln 118

Then x ln 1.0153 = ln 118 - ln 100, or

                           = 4.7707 - 4.6052

    ... which leads to:

                                4.7707 - 4.6052

                         x = ---------------------------   =  11 years (rounded up from 10.888 )

                                     0.0152

4 0
3 years ago
Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 yea
netineya [11]

Answer:

$1105

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 6500 × 0.0425 × 4 = 1105

I = $ 1,105.00

The simple interest accumulated

on a principal of $ 6,500.00

at a rate of 4.25% per year

for 4 years is $ 1,105.00.

6 0
3 years ago
Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the point (−3, 0).
lyudmila [28]

The vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)

<h3>How to graph the dilated image?</h3>

The given parameters are:

Center, (a, b) = (-3, 0)

Scale factor, k = 1/2

The vertices of the figure are

(5,4), (-5, 4) and (3,8)

The rule of dilation is represented as:

(x, y) ⇒ (k(x -a), k(y -b))

So, we have:

Point (5,4)

(x, y) ⇒ (1/2(5 + 3), 1/2(4 -0))

(x, y) ⇒ (4, 2)

Point (-5,4)

(x, y) ⇒ (1/2(-5 + 3), 1/2(4 -0))

(x, y) ⇒ (-1, 2)

Point (3,8)

(x, y) ⇒ (1/2(3 + 3), 1/2(8 -0))

(x, y) ⇒ (3, 4)

So, the vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)

See attachment for the image

Read more about dilation at:

brainly.com/question/3457976

#SPJ1

7 0
2 years ago
I need help with questions 3 and 4
nlexa [21]

Step-by-step explanation:

3)

7billion = 5 {e}^{15r} \\ 1.4billion =  {e}^{15r}  \\ ln(1.4 \: billion) = 15r \\ 21.0597 = 15r \\ r = 1.404

4) \\  t = 0  \: y= 200 \\200 = a {e}^{0}  \\ a = 200 \\ 800 = 200 {e}^{8k}  \\ 4 =  {e}^{8k}  \\ ln(4) = 8k \\ k = 0.1733

6 0
2 years ago
Chapter 2 review / test 4th grade
777dan777 [17]
Can't help u there I'm so sorry
5 0
4 years ago
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