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fgiga [73]
3 years ago
5

Consider the function f(x) = 3x − 2. Select True or False for each statement. The y-intercept is 2. A True B False The x-interce

pt is 2 3 . A True B False The slope is 3. A True B False
Mathematics
1 answer:
iragen [17]3 years ago
8 0

Answer: A false, B true, C true

Step-by-step explanation:

A) intercept with y axis

That means x=0

y= 3*0-2

y= -2 So A is false

B) intercept with x axis

That means y=0

0= 3x-2

2=3x

2/3= x B is true

C) The form of linear function is

f(x)= mx +n, where m is the slope

In this case m= 3 so C is true

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5. Complete the calculations so that each shows the correct sum or difference.​
kicyunya [14]

Answer:

hope it helps u..........

4 0
2 years ago
Read 2 more answers
Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distribut
defon

Answer:

0.8665 = 86.65% probability that the sample mean would be at least $39000

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 $39725 and standard deviation $7320.

This means that \mu = 39725, \sigma = 7320

Sample of 125:

This means that n = 125, s = \frac{7320}{\sqrt{125}} = 654.72

The probability that the sample mean would be at least $39000 is about?

This is 1 subtracted by the pvalue of Z when X = 39000. So

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

By the Central Limit Theorem

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

Z = \frac{39000 - 39725}{654.72}

Z = -1.11

Z = -1.11 has a pvalue of 0.1335

1 - 0.1335 = 0.8665

0.8665 = 86.65% probability that the sample mean would be at least $39000

4 0
2 years ago
Which 2 numbers have a mean of 10 and a range of 4?
Charra [1.4K]

Answer:

12 and 8

Step-by-step explanation:

basic knowledge of math i guess

hope that helps love

8 0
2 years ago
What is the exponential form of the logarithmic equation? 3=log0.6 0.216
tatuchka [14]

Answer:

0.216 = 0.6³

Step-by-step explanation:

using the rule of logarithms

• log_{b} x = n ⇔ x = b^{n}

log_{0.6} 0.216 = 3 ⇒ 0.216 = 0.6^{3}


3 0
2 years ago
Read 2 more answers
Ming kept track of her puppy Sampson's weight gain over a three-month time period. He was six weeks old on November 15 and weigh
Kobotan [32]

Answer:

Sampson gains 3.967 kilograms from November to February.

Step-by-step explanation:

Given:

Actual Weight on November 15 = 2.49 kg

On December 15, he weighed 1020 grams more

Since 1000 grams = 1 kg

Weight on December 15 = 1020 grams = 1.2 kg

Hence Weight gained from November 15 to December 15 = 1.2 kg

On January 15, he had gained another 2200 grams

Weight on January 15 = 2200 grams = 2.2 kg

Hence Weight gained from December 15 to January 15 = 2.2 kg

On February 15, he had only gained 0.567 kilograms.

Weight on February 15 = 0.567 kg

Hence Weight gained from January 15 to February 15 = 2.2 kg

Total weight gained from November to February = Weight gained from November 15 to December 15 + Weight gained from December 15 to January 15 + Weight gained from January 15 to February 15

Total weight gained from November to February  = 1.2+2.2+0.567 = 3.967 \ kg

Hence Sampson gained total weight of 3.967 kg from November to February.

4 0
2 years ago
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