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lions [1.4K]
2 years ago
14

What is the slope of the line shown? Answers A: 3 B:2 C:1/2 D:-3

Mathematics
2 answers:
satela [25.4K]2 years ago
7 0

Answer:

-3

Step-by-step explanation:

Gnesinka [82]2 years ago
3 0
1/2 because slope is rise over run and it is rising 2 and going over 4 which simplifies to 1/2
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The amount of potato chips an 18-ounce bag contains follows a normal distribution with a mean of 18.5 ounces and a standard devi
bekas [8.4K]

Answer:

100% probability that the sample mean weight of these 100 bags is less than 18.6 ounces

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 question, we have that:

\mu = 18.5, \sigma = 0.2, n = 100, s = \frac{0.2}{\sqrt{100}} = 0.02

What is the probability that the sample mean weight of these 100 bags is less than 18.6 ounces

This is the pvalue of Z when X = 18.6. So

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

By the Central Limit Theorem

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

Z = \frac{18.6 - 18.5}{0.02}

Z = 5 has a pvalue of 1

100% probability that the sample mean weight of these 100 bags is less than 18.6 ounces

7 0
3 years ago
Someone please help me with this math question!
stepladder [879]
1.25x + 2.5 \ \textless \  2.75x - 6.5 \\ \\ 2.5 \ \textless \  2.75x - 6.5 - 1.25x \ / \ subtract \ 1.25x \ both \ sides \\ \\ 2.5 \ \textless \  1.5x - 6.5 \ / \ simplify \\ \\ 2.5 + 6.5 \ \textless \  1.5x \ / \ add \ 6.5 \ both \ sides \\ \\ 9 \ \textless \  1.5x \ / \ simplify \\ \\ 6 \ \textless \  x \ / \ divide \ both \ sides \ 1.5 \\ \\ x \ \textgreater \  6 \ / \ change \ sides \\ \\ Answer: x \ \textgreater \  6 (A)
8 0
3 years ago
Read 2 more answers
A what is a letter or symbol that represents some unknown value
aleksley [76]
Unknown values can be taken as anything , for example : the most common is x for unknown values and sometimes, for angles we can take θ(theta).

it is totally upto you!
8 0
3 years ago
Read 2 more answers
98 Points! Answer Quick!
timama [110]

Reason:

2. SD ⊥ HT. ∴ ∠SDH = ∠SDT =90°

3. Given (It is given in the question)

5. RHS congruence

(Here, the right angle, hypotenuse and one side of ΔSHD is congruent to that of ΔSTD).

Statement:

4. Line segment SD = SD

(Reflexive property is used to prove congruence of triangles. This property is used when an angle or line segment is congruent to itself.)


7 0
3 years ago
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Linda had 8 stamps in her collection. She lost 2 stamps. What is the fraction of stamps lost?
Mariulka [41]

Answer:

6/8 is the fraction of how much stamps Linda has.

2/8 is the fraction of stamps lost.

3 0
2 years ago
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