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trasher [3.6K]
3 years ago
11

Find the equation of the line that has a slope of a and a y-intercept of 1. ​

Mathematics
1 answer:
Stells [14]3 years ago
4 0

Answer:

y=ax+1

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

y=ax+1

You might be interested in
A recent national survey found that high school students watched an average (mean) of 6.8 movies per month with a population sta
Margaret [11]

Answer:

Step-by-step explanation:

Given that x = no of movies high school students watched is N(6.8, 1.8)

Sample size = 36 and hence std error = 1.8/6 = 0.3

H_0: x bar = 6.8\\H_a: x bar < 6.8\\

(two tailed test)

Mean difference = 6.2-6.8 = -0.6

Test statistic z = -0.6/0.3= -2

p value = 0.02275

Since p <0.05 we reject H0.

There is evidence to show that college students watch fewer movies a month than high school students

7 0
3 years ago
What is the discriminant of 3х^2 + 6x = 2?
Bezzdna [24]

Answer:

Δ = 60

Step-by-step explanation:

Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0

Then the discriminant

Δ = b² - 4ac

Given

3x² + 6x = 2 ( subtract 2 from both sides )

3x² + 6x - 2 = 0 ← in standard form

with a = 3, b = 6 and c = - 2

b² - 4ac = 6² - (4 × 3 × - 2) = 36 - (- 24) = 36 + 24 = 60

7 0
3 years ago
Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}
krok68 [10]

Answer:

|p-q|-(|p|-|q|) = 20

Step-by-step explanation:

First let's find the value of 'p-q':

p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\

To find |p-q| (module of 'p-q'), we can use the formula:

|ai + bj| = \sqrt{a^{2}+b^{2}}

Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'

So we have:

|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25

Now, we need to find the module of p and the module of q:|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15

|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10

Then, evaluating |p-q|-{|p|-|q|}, we have:

|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20

7 0
3 years ago
What can I learn in finding the sum of consecutive numbers?
Helga [31]

Answer:

By using Carl Gauss's clever formula, (n / 2)(first number + last number) = sum, where n is the number of integers, we learned how to add consecutive numbers quickly. We now know that the sum of the pairs in consecutive numbers starting with the first and last numbers is equal.

8 0
3 years ago
A homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bed
cestrela7 [59]

Answer:

0.97

Step-by-step explanation:

Given that a homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bedroom (above the kitchen). If cooking produces smoke in the kitchen, the probability of setting off the dining room alarm (D) is .95. The probability of setting off the bedroom alarm (B) is .40.

Both alarms are independent of each other.

Probability for smoke detection=P(any one alarm rings)

=P(Kitchen alarm sets off)+P(bed room alarm sets off)-P(Both sets off)

Since both are independent

P(Both) = 0.95*0.40\\=0.38

Probability for smoke detection

= 0.95+0.40-0.38

=0.97

7 0
3 years ago
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