Using distributive property we can expand the expression as
3n - 5 = -8 x 6 + (-8) x 5n
To apply the distributive property to the equation
3n - 5 = -8(6 + 5n), we need to distribute the -8 to the terms inside the parentheses.
Using the distributive property, we have:
3n - 5 = -8 x 6 + (-8) x 5n
Simplifying further:
3n - 5 = -48 - 40n
Now, we can continue solving the equation using the simplified form as
3n + 40n = -48 + 5
43n = -43
n= -1.
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Answer:
n=-1
Step-by-step explanation:
3n-5=-8(6+5n)
3n-5=-48-40n
add 40n to both sides
43n-5=-48
n=-1
Answer:
The p value for this case would be:
For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39
Step-by-step explanation:
Information given
n=100 represent the random sample taken
X=36 represent the number of people that take E supplement
estimated proportion of people who take R supplement
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true proportion is equatl to 0.39 or not, the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info we got:
The p value for this case would be:
For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39
Step-by-step explanation:
To find the rate, divide the number of heartbeats by the number of seconds.
You: 22 beats / 20 seconds = 1.1 beats per second.
Friend: 18 beats / 15 seconds = 1.2 beats per second.
Answer:
x= 17 radical 3
y= 34
Step-by-step explanation:
30-60-90 triangle rule
Answer and I will give you brainiliest
Answer:
I don't now this but you should do pemdas that really helped me
Step-by-step explanation:
The first step is perthansies then exponents and then multiplication then division and last addition and subtraction that should give you your answer.
Using the normal distribution, it is found that:
a) There is a 0.947 = 94.7% probability that a randomly selected bag contains between 1000 and 1500 chocolate chips, inclusive.
b) There is a 0.0392 = 3.92% probability that a randomly selected bag contains fewer than 1025 chocolate chips.
c) 0.3446 = 34.46% of bags contains more than 1200 chocolate chips.
d) The bag is in the 91st percentile.
In a normal distribution with mean and standard deviation, the z-score of a measure X is given by:
In this problem:
Item a:
The probability is the p-value of Z when X = 1500 subtracted by the p-value of Z when X = 1000, thus:
X = 1500:
has a p-value of 0.9726.
X = 1000:
has a p-value of 0.0256.
Then, 0.9726 - 0.0256 = 0.947
There is a 0.947 = 94.7% probability that a randomly selected bag contains between 1000 and 1500 chocolate chips, inclusive.
Item b:
This probability is the p-value of Z when X = 1025, thus:
has a p-value of 0.0392.
There is a 0.0392 = 3.92% probability that a randomly selected bag contains fewer than 1025 chocolate chips.
Item c:
This proportion is 1 subtracted by the p-value of Z when X = 1200, thus:
has a p-value of 0.3446.
0.3446 = 34.46% of bags contains more than 1200 chocolate chips.
Item d:
This percentile is the p-value of Z when X = 1425, thus:
has a p-value of 0.91.
The bag is in the 91st percentile.
A similar problem is given at brainly.com/question/13680644
The probability and percentiles can be found using the z-score formula and then looking these z-scores up in the standard normal distribution table.
In this question, we're dealing with a normal distribution. For a normal distribution, probabilities can be calculated using the z-score formula which is given by Z = (X - μ) / σ, where X is the value from which you want to find the probability, μ is the mean and σ is the standard deviation.
(a) To find the probability that a randomly selected bag has between 1000 and 1500 chocolate chips, we need to find the z-scores for both 1000 and 1500 and then find the area between these two z-scores in the standard normal distribution table. (b) To find the probability that a randomly selected bag has less than 1025 chips, we find the z-score for 1025 and find the area to the left of it in the standard normal distribution table. (c) To find the proportion of bags containing more than 1200 chips, we find the z-score for 1200 and then find the area to the right of it in the standard normal distribution table. (d) Percentile rank can be found by finding the z-score for 1425 chips, and then finding the corresponding percentile in the standard normal distribution table.
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