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Gre4nikov [31]
2 years ago
8

What is the equation of the line in point - slope form with slope 3/4and passes through the point (5, -8)?

Mathematics
1 answer:
Talja [164]2 years ago
7 0
Y-y1=m(x-x1) is the point slope formula. m=3/4 and y1=-8 and x1=5. Substitute these values and you will have the answer.
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(2+0.4 + 0.6)² I have been stuck on this problem for a while
Anna11 [10]
\begin{gathered} \Rightarrow(2+0.4+0.6)^2 \\ \Rightarrow(2+1)^2 \\ \Rightarrow3^2 \\ \Rightarrow9 \end{gathered}

7 0
1 year ago
Solve the inequality: -2z - 3 < 5
Ghella [55]

Answer:

z>-4

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Find the domain of y equals the square root of the quantity 3 multiplied by x plus 3 end of quantity.
juin [17]

Answer:

The answer is D

Step-by-step explanation:

4 0
3 years ago
A sample size 25 is picked up at random from a population which is normally
Margarita [4]

Answer:

a) P(X < 99) = 0.2033.

b) P(98 < X < 100) = 0.4525

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 normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, 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.

Mean of 100 and variance of 36.

This means that \mu = 100, \sigma = \sqrt{36} = 6

Sample of 25:

This means that n = 25, s = \frac{6}{\sqrt{25}} = 1.2

(a) P(X<99)

This is the pvalue of Z when X = 99. So

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

By the Central Limit Theorem

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

Z = \frac{99 - 100}{1.2}

Z = -0.83

Z = -0.83 has a pvalue of 0.2033. So

P(X < 99) = 0.2033.

b) P(98 < X < 100)

This is the pvalue of Z when X = 100 subtracted by the pvalue of Z when X = 98. So

X = 100

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

Z = \frac{100 - 100}{1.2}

Z = 0

Z = 0 has a pvalue of 0.5

X = 98

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

Z = \frac{98 - 100}{1.2}

Z = -1.67

Z = -1.67 has a pvalue of 0.0475

0.5 - 0.0475 = 0.4525

So

P(98 < X < 100) = 0.4525

6 0
2 years ago
Peter has 100 dollars. His mom gives him x dollars more. Write an expression to represent the situation.
denis23 [38]

Answer:

100+x

Step-by-step explanation:

Peter starts out with 100 dollars and then gets X more meaning we have to add X to what he originally had and that looks like this 100+x

I hope this helps and please don't hesitate to ask if there is anything still unclear!

5 0
3 years ago
Read 2 more answers
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