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pav-90 [236]
3 years ago
12

Solve for x. 2 - In(x + 3) = In 4 x = In 4 - 1 Ox=2e Ox-4e2-3 OX=-3​

Mathematics
1 answer:
erastova [34]3 years ago
6 0

Answer:

X=1

Step-by-step explanation:

You might be interested in
In a data set with a normal distribution, the mean is 59 and the standard deviation is 3.
Delicious77 [7]

Answer:

Part A: 81.5%

Part B: About 95% of the data lie between 53 and 65.

Step-by-step explanation:

Note: the percentages marked in red and blue never change

For Part A, we add the percentages that are between 53 and 62. So, 34% + 34% + 13.5% which is 81.5%

For Part B, we can look at this graph and seen that 95% of this data set lies between 53 and 65

Hope this is correct and of help!

4 0
2 years ago
1. See 1st attached image down below. 2. See 2nd attached image down below. 3. See 3rd attached image down below. 4. See 4th att
svetoff [14.1K]

1) The probability of rolling a 1 is 10/40 and the probability of rolling a 5 is 6/40. Add these together to get 16/40 which simplifies to 2/5 probability of rolling a 1 or 5.

2) The probability of the spinner landing on section 2 is 36/80 which simplifies to 9/20

3) To find the relative frequency, divide each number by the total number of trials. In this case we're only look at the clubs so divide 8/40, which is 0.2 or 20%

4) There were 60 trials total and since we're finding the relative frequency of red, divide 13/60 which is 0.216 rounded to 0.22 or 22%

5) The spinner is spun 84 times and it lands on A 14 times so the probability of it landing on A is 14/84 which simplifies to 1/6 or 0.166 rounded to 0.17 or 17%

I hope this helps you!

4 0
3 years ago
Statistics from Cornell's Northeast Regional Climate Center indicate that Ithaca, NY, gets an average of 35.4 inches of rain eac
sineoko [7]

Answer:

a. approximately 13.7%

Step-by-step explanation:

Please see attachment

6 0
4 years ago
At a movie theater they sell hotdogs and popcorn. The first hour they sold 15 popcorns and 14 hotdogs for a total of $84. The se
Delicious77 [7]

Answer:

1 hotdog cost $2.25

1 popcorn cost $3.5

Step-by-step explanation:

Let the price of hotdog be and that of popcorn be p

For the first hour;

15p + 14h = 84 •••• (i)

for the second hour;

18p + 16h = 99 •••••(ii)

so we want to solve these two equations simultaneously

In equation 1,

14h = 84-15p

h = (84-15p)/14

Simply insert this into equation ii

18p + 16(84-15p)/14 = 99

Multiply through by 14

252p + 1344 - 240p = 1386

1386-1344 = 252p-240p

12p = 42

p = 42/12

p = $3.5

to get cost of hotdogs;

h = (84-15p)/14

Substitute p = 3.5

h = (84-52.5)/14

h = 31.5/14

h = 2.25

8 0
3 years ago
The magnitude M of an earthquake is measured using the formula M=log (x/c) , where x is the measured amplitude of a seismic wave
klemol [59]

Answer:

The first earthquake is 1.9 times greater than the second

Step-by-step explanation:

We need to substract

M1 and M2

M1 - M2 = ㏒(x1/c) - ㏒(x2/c)

by properties of the logarithm

= log(x1) - log(c) - (log(x2) - log(c))

= log(x1) - log(x2)

But, we know that x1 = 80*x2

So,

= log(80) + log(x2) - log(x2)

= 1.903

7 0
4 years ago
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