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Arlecino [84]
3 years ago
13

Find f(x) if it is known that f(3k)=3k+7.

Mathematics
2 answers:
lawyer [7]3 years ago
7 0

Since f(3k) = 3k+7  (Equation 1)

We have to determine the value of f(x).

That is we have to replace 3k by x,

3k = x

Substituting the value of 3k in equation 1.

So, f(x) = x + 7

Therefore, f(x)=x+7 is the required function.

SVETLANKA909090 [29]3 years ago
4 0
F(3k)=3k +7   Equals    9k+7.  So 9k+7 would be the Answer.
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A local car dealer claims that 25% of all cars in San Francisco are blue. You take a random sample of 600 cars in San Francisco
Delvig [45]

Answer:

Step-by-step explanation:

a) We would set up the hypothesis test.

For the null hypothesis,

p = 0.25

For the alternative hypothesis,

p ≠ 0.25

b) The test statistic to be used is the z test. The formula is

z = (P - p)/√pq/n

c) Considering the population proportion, probability of success, p = 0.25

q = probability of failure = 1 - p

q = 1 - 0.25 = 0.75

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 141

n = number of samples = 600

P = 141/600 = 0.235

Therefore

z = (0.235 - 0.25)/√(0.25 × 0.75)/600 = - 0.85

d) Recall, population proportion, p = 0.25

The difference between sample proportion and population proportion is 0.25 - 0235. = 0.015

Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.25 - 0.015 = 0.235

the p for the right tail is 0.25 + 0.015 = 0.265

These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area below the test z score in the left tail 0.198

We would double this area to include the area in the right tail of z = 0.85. Thus

p = 0.198 × 2 = 0.396

e) Since alpha, 0.01 < than the p value, 0.396, then we would fail to reject the null hypothesis.

f) In a sample of 600 cars, we would observe a sample proportion of 0.015 or more away from 0.25 about 39.6% of the time by chance alone. Therefore, the sample result is not statistically significant because it could occur in 39.6% of the time by chance alone.

8 0
3 years ago
Expand and simplify 3(C - 2d) - 2(2C - 3d).​
Andreas93 [3]

Answer:

-C

Step-by-step explanation:

3(C - 2d) - 2(2C - 3d).

Distribute

3C - 6d  - 4C +6d

Combine like terms

3C -4C  -6d +6d

-C

7 0
3 years ago
Read 2 more answers
What is the slope of the line through (-3, 3) and (-1, -1)?
Vladimir79 [104]

Answer:

The slope is -2

Step-by-step explanation:

To find the slope, we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = (-1 -3)/(-1 - -3)

   = ( -1-3)/(-1+3)

   = -4/2

   = -2

The slope is -2

3 0
2 years ago
What is the square root of one?
Artyom0805 [142]

Answer:

Step-by-step explanation:

1 is the square root of 1

4 0
3 years ago
Read 2 more answers
What is the slope of the line shown below (-1,6) (2-3)
cestrela7 [59]

Answer:

-3

Step-by-step explanation:

m = -y₁ + y₂\-x₁ + x₂

This is the <em>Rate</em><em> </em><em>of</em><em> </em><em>Change</em><em> </em>[<em>Slope</em>] Formula. Just apply it, and you will arrive at your answer, but beware of double negatives. They become positives.

I am joyous to assist you anytime.

7 0
3 years ago
Read 2 more answers
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