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Andrew [12]
3 years ago
10

Write an equation in slope-intercept form of the line that passes through the point (-2,1) and is perpendicular to the equation

3x 18y=4
Mathematics
1 answer:
blondinia [14]3 years ago
5 0
Let's convert the equation into slope-intercept form.

3x + 18y = 4
Subtract 3x from both sides.
18y= -3x + 4
Divide both sides by 18.
y = -3/18x + 4/18
Simplify.
y = -1/6x + 2/9

To make a line perpendicular, we need the slope to be the reciprocal of the other. Flip the denominator and numerator, and change the sign. We also have to change the b to make the line go through (-2, 1)

-1/6 to +6/1, or 6.

y = 6x + b

Input the x and y values and solve for b.

1 = 6(-2) + b
1 = -12 + b
Add 12 to both sides.
13 = b

y = 6x + 13
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62.83185

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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.

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3 years ago
Mary is planning her birthday party. She's inviting 7 friends and wants to buy party favors. The favors she wants come in packag
Makovka662 [10]

Answer:

3 packages

Step-by-step explanation:

each package has 3

if she buys 1, she has 3 party favors

buys 2, has 6

buys 3, has 9

she can't buy 2 packages, then one friend doesn't get a party favor. so she will have to buy 3 packages, use 7, leave 2 extra.

please give thanks :)

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Please can someone help me with calculating area and finding volume to cubes/rectangular prisms
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Can someone help me on this
Kaylis [27]

Remember that the formula for simple interest is:

I = Prt

  • I is the interest earned
  • P is the principal amount invested
  • r is the interest rate, represented as a decimal
  • t is the amount of time in years

Using information the problem gave us, we can say that the amount of interest earned after one year is:

I = (\$ 350)(0.06)(1) = \$ 21


After 1 year, we will have earned $21. Remember though that we also need to find the amount we will earn after 4 months. Since there are 12 months in a full year, we can say that 4 mohts represents a third of a year. Thus, let's multiply our interest by one-third.

\$21 \cdot \dfrac{1}{3} = \$ 7


After 4 months, we will have generated $7 and after one year we will have generated $21.

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3 years ago
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