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Cerrena [4.2K]
1 year ago
11

Johan works in a cafe.

Mathematics
1 answer:
Ksenya-84 [330]1 year ago
6 0

Answer:

4:1

Step-by-step explanation:

The ratio at first would be 48:12, after this to simplify it we need to find the gcf (greatest/biggest common factor), which is 12. Dividing 48 by 12 gives us 4 and dividing 12 by 12 gives us 1, thus making the ratio 4:1

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Suppose that a company's sales were $1,000,000 6 years ago and are $9,000,000 at the end of the 6 years. Find the geometric mean
Dmitriy789 [7]

Answer:

The geometric mean growth rate of sales is 1.4422.

Step-by-step explanation:

We have two sales values, one from 6 years ago and the other from now.

We have to calculate the geometric growth rate of sales.

We have:

y(-6)=1,000,000\\\\y(0)=9,000,000

We can write the relation between these two values as:

y(0)=y(-6)k^{0-(-6)}\\\\9,000,000=1,000,000k^6\\\\k^6=9\\\\k=9^{1/6}= 1.4422

The geometric mean growth rate of sales is 1.4422.

6 0
2 years ago
A rock is thrown in the air from the edge of a seaside cliff. Its height in feet is represented by f(x) = –16(x^2 – 8x – 9), whe
algol13
Since x is the number of seconds it took the rock to hit the water, x is the value that we are looking for. When the rock hits the water, it's height is 0, therefore, f(x) = 0. So, we can set the expression on the right equal to 0, and solve for 0. Let's do just that:
0 = -16(x^2-8x-9)

We can divide by -16, nothing will happen because 0 divided by anything is 0:
0 = x^2-8x-9

To factor any trinomial in standard form (given below), we must find two numbers that add to "b" and multiply to "c":
0 = ax^2 + bx + c

So, for this specific question, let's find two numbers that add to -8 and multiply to 9. These are clearly 9 and -1. We can write it in this way now:
0 = (x-9)(x+1)

Both answers would be valid, but there can't be negative time, so your answer is "It takes 9 seconds for the rock to reach the water."
4 0
2 years ago
Read 2 more answers
A recent poll of 124 randomly selected residents of a town with a population of 310 showed that 93 of them are opposed to a new
tester [92]
The sample size is 124.
93 of them are opposed to new shopping center.

So, 
n = 124
p = \frac{93}{124}=0.75

The point estimate of the population proportion = p = 0.75
q = 1 - p = 0.25

Margin of error (E) can be calculated by:

E= Z_{c}  \sqrt{ \frac{pq}{n} }

Using the values, we get:

E=1.645 \sqrt{ \frac{0.75*0.25}{124} }=0.06

Therefore, the margin of error is approximately 0.06 or 6%.
6 0
2 years ago
Read 2 more answers
When Hiroto is writing, there is 0.92 probability that there will be no spelling mistakes on a page. One day, Hiroto writes an e
prohojiy [21]

Answer:

0.60

Step-by-step explanation:

Use binomial probability.

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

The probability of a mistake on at least one page is 1 minus the probability of making no mistakes.

P(at least 1) = 1 − P(none)

P = 1 − ₁₁C₀ (0.08)⁰ (0.92)¹¹⁻⁰

P = 1 − (0.92)¹¹

P = 0.60

8 0
2 years ago
Gabriel is saving money by mowing lawns on the weekends. Last month, he saved $150. This month, saved 20% more than he saved las
Katyanochek1 [597]

Answer:

180

Step-by-step explanation:

so last month he saved 150 right first you find 20% of 150. that is 30. you add 150 and 30 and get 180.

3 0
2 years ago
Read 2 more answers
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