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Brilliant_brown [7]
3 years ago
7

Simplify: k-10k+1 + 1 5k-2k-3 k-1

Mathematics
1 answer:
Ne4ueva [31]3 years ago
3 0

Answer:

30k + 1 -1

Step-by-step explanation:

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Solve the following equation for x.<br> 15x^2 – 46x + 16 = 0
goldfiish [28.3K]

Answer:

X=2/5,8/3

Step-by-step explanation:

Look on Tiger Algebra for step by step. JUst put the problem into g-oogle.

3 0
3 years ago
A study investigating the relationship between age and annual medical expenses randomly samples 400 individuals in a city. It is
ICE Princess25 [194]

Answer:

The probability is 0.789

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\sigma = 16, n = 400, s = \frac{16}{\sqrt{400}} = 0.8

Find the probability that the mean age of the individuals sampled is within one year of the mean age for all individuals in the city.​

Using \mu = 30, this is the pvalue of Z when X = 31 subtracted by the pvalue of Z when X = 29. So

X = 31

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{31 - 30}{0.8}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

X = 29

Z = \frac{X - \mu}{s}

Z = \frac{29 - 30}{0.8}

Z = -1.25

Z = -1.25 has a pvalue of 0.1056

0.8944 - 0.1056 = 0.7888

Rounded to three decimal places, 0.789

The probability is 0.789

4 0
3 years ago
Read 2 more answers
Use the table to identify the values of p and q that should be used to factor x^2+9x-10 as (x+p)(x+q)
likoan [24]
X^2 + 9x -10 = (x -1)(x +10) = (x +(-1)) (x + 10)
p = -1 and q  = 10
answer is A.
5 0
3 years ago
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? Don't Send links, don't Write random things and get the points for free.
alekssr [168]

Answer:

V = 1847.26\ ft^3

Step-by-step explanation:

Step 1:  Determine the volume

V=\pi r^2h

V = \pi *(7\ ft)^2 * (12\ ft)

V = \pi *49\ ft^2 * 12\ ft

V = \pi  * 588\ ft^3

V = 1847.26\ ft^3

Answer:   V = 1847.26\ ft^3

6 0
2 years ago
2x + y = 13<br> What y????
hoa [83]

Answer:

2(5) + 3 = 13

Step-by-step explanation:

x=5

y=3

2x+y=13

2(5)+3=13

10 +3 =13

8 0
3 years ago
Read 2 more answers
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